VARIABLE MAGNIFICATION OPTICAL SYSTEM AND IMAGING APPARATUS

Abstract

A variable magnification optical system consists of, in order from an object side to an image side, a first lens group having a negative refractive power, a second lens group having a positive refractive power, and a subsequent group including one or more lens groups. During changing magnification, the first lens group moves, and spacings between all adjacent lens groups change. One lens group included in the subsequent group is a focusing lens group that moves along an optical axis during focusing. The variable magnification optical system satisfies a predetermined conditional expression.

Claims

1. A variable magnification optical system consisting of, in order from an object side to an image side, a first lens group having a negative refractive power, a second lens group having a positive refractive power, and a subsequent group including one or more lens groups, wherein during changing magnification, the first lens group moves, and spacings between all adjacent lens groups change, one lens group included in the subsequent group is a focusing lens group that moves along an optical axis during focusing, and in a case where a sum of a back focus of the variable magnification optical system as an air conversion distance and a distance on the optical axis from a lens surface of the first lens group closest to the object side to a lens surface of the subsequent group closest to the image side in a state where an infinite distance object is focused on at a wide angle end is denoted by TLw, a focal length of the variable magnification optical system in a state where the infinite distance object is focused on at a telephoto end is denoted by ft, a maximum half angle of view in the state where the infinite distance object is focused on at the telephoto end is denoted by ot, the back focus of the variable magnification optical system as the air conversion distance in the state where the infinite distance object is focused on at the wide angle end is denoted by Bfw, a focal length of the variable magnification optical system in the state where the infinite distance object is focused on at the wide angle end is denoted by fw, a refractive index with respect to a d line and an Abbe number based on the d line for any lens included in the first lens group are denoted by NG1L and vG1L, respectively, and a sum total of thicknesses of all lens groups on the optical axis is denoted by Dsum, Conditional Expressions (1), (2), (3), (4), and (5) are satisfied, which are represented by $\begin{array}{cc}4.5<\mathrm{TLw}/\left(ft\tan t\right)<8& \left(1\right)\end{array}$ $\begin{array}{cc}0.4<\mathrm{Bfw}/\left(ft\tan t\right)<3& \left(2\right)\end{array}$ $\begin{array}{cc}0.9<\left(\mathrm{fw}\mathrm{TLw}\right)/f{t}^2<3.2& \left(3\right)\end{array}$ $\begin{array}{cc}1.6<\mathrm{NG}1L+0.01G1L<2.3& \left(4\right)\end{array}$ $\begin{array}{cc}0.1<\mathrm{Dsum}/\left(\mathrm{TLw}-\mathrm{Bfw}\right)<0.8.& \left(5\right)\end{array}$

2. The variable magnification optical system according to claim 1, wherein Conditional Expression (1-1) is satisfied, which is represented by $\begin{array}{cc}5.4<\mathrm{TLw}/\left(ft\tan t\right)<7.& \left(1-1\right)\end{array}$

3. The variable magnification optical system according to claim 1, wherein Conditional Expression (2-1) is satisfied, which is represented by $\begin{array}{cc}0.55<\mathrm{Bfw}/\left(ft\tan t\right)<2.& \left(2-1\right)\end{array}$

4. The variable magnification optical system according to claim 1, wherein in a case where a thickness of the first lens group on the optical axis is denoted by dG1, and a focal length of the first lens group is denoted by f1, Conditional Expression (6) is satisfied, which is represented by $\begin{array}{cc}0.4<\mathrm{dG}1/.Math.f1.Math.<2.& \left(6\right)\end{array}$

5. The variable magnification optical system according to claim 4, wherein Conditional Expression (6-1) is satisfied, which is represented by $\begin{array}{cc}0.55<\mathrm{dG}1/.Math.f1.Math.<1.65.& \left(6-1\right)\end{array}$

6. The variable magnification optical system according to claim 1, wherein the first lens group includes an L1nm lens that is a non-cemented negative meniscus lens having a convex surface toward the object side, an L1n lens that is a non-cemented negative lens having a concave surface toward the image side, and an L1p lens that is a positive lens, the L1n lens is disposed adjacent to the image side of the L1nm lens, and the L1p lens is disposed closer to the image side than the L1n lens.

7. The variable magnification optical system according to claim 6, wherein in a case where a refractive index with respect to a d line and an Abbe number based on the d line for a negative lens disposed between the L1nm lens and the L1p lens are denoted by NG1n and vG1n, respectively, the variable magnification optical system includes a negative lens satisfying Conditional Expression (7) represented by $\begin{array}{cc}1.7<\mathrm{NG}1n+0.01G1n<2.16,& \left(7\right)\end{array}$ and the negative lens satisfying Conditional Expression (7) is the L1n lens or a negative lens disposed adjacent to the image side of the L1n lens.

8. The variable magnification optical system according to claim 7, wherein the negative lens satisfying Conditional Expression (7) satisfies Conditional Expression (7-1) represented by $\begin{array}{cc}1.74<\mathrm{NG}1n+0.01\mathrm{vG}1n<2.14.& \left(7-1\right)\end{array}$

9. The variable magnification optical system according to claim 6, wherein in a case where a distance on the optical axis between the L1nm lens and the L1n lens is denoted by dm, and a thickness of the first lens group on the optical axis is denoted by dG1, Conditional Expression (8) is satisfied, which is represented by $\begin{array}{cc}0.01<\mathrm{dm}/\mathrm{dG}1<0.9.& \left(8\right)\end{array}$

10. The variable magnification optical system according to claim 6, wherein a surface of the L1n lens on the object side is an aspherical surface in which a refractive power at a position of a maximum effective diameter is shifted in a positive direction compared to a refractive power in a paraxial region.

11. The variable magnification optical system according to claim 10, wherein the surface of the L1n lens on the object side has a concave shape in the paraxial region and has a convex shape in an edge part including the position of the maximum effective diameter.

12. The variable magnification optical system according to claim 1, wherein in a case where a focal length of the second lens group is denoted by f2, and a focal length of the first lens group is denoted by f1, Conditional Expression (9) is satisfied, which is represented by $\begin{array}{cc}0.3<f2/.Math.f1.Math.<5.& \left(9\right)\end{array}$

13. The variable magnification optical system according to claim 12, wherein Conditional Expression (9-1) is satisfied, which is represented by $\begin{array}{cc}0.65<f2/.Math.f1.Math.<3.& \left(9-1\right)\end{array}$

14. The variable magnification optical system according to claim 13, wherein Conditional Expression (1-1) is satisfied, which is represented by $\begin{array}{cc}5.4<\mathrm{TLw}/\left(\mathrm{ft}\tan t\right)<7.& \left(1-1\right)\end{array}$

15. The variable magnification optical system according to claim 14, wherein the first lens group includes an L1nm lens that is a non-cemented negative meniscus lens having a convex surface toward the object side, an L1n lens that is a non-cemented negative lens having a concave surface toward the image side, and an L1p lens that is a positive lens, the L1n lens is disposed adjacent to the image side of the L1nm lens, and the L1p lens is disposed closer to the image side than the L1n lens.

16. The variable magnification optical system according to claim 15, wherein in a case where a refractive index with respect to a d line and an Abbe number based on the d line for a negative lens disposed between the L1nm lens and the L1p lens are denoted by NG1n and vG1n, respectively, the variable magnification optical system includes a negative lens satisfying Conditional Expression (7-1) represented by $\begin{array}{cc}1.74<\mathrm{NG}1n+0.01\mathrm{vG}1n<2.14,& \left(7-1\right)\end{array}$ and the negative lens satisfying Conditional Expression (7-1) is the L1n lens or a negative lens disposed adjacent to the image side of the L1n lens.

17. The variable magnification optical system according to claim 16, wherein the first lens group includes a positive lens having a convex surface toward the object side, closest to the object side.

18. The variable magnification optical system according to claim 16, wherein Conditional Expression (4-1) is satisfied, which is represented by $\begin{array}{cc}1.82<\mathrm{NG}1L+0.01\mathrm{vG}1L<1.91.& \left(4-1\right)\end{array}$

19. The variable magnification optical system according to claim 16, wherein in a case where a thickness of the first lens group on the optical axis is denoted by dG1, Conditional Expression (6-1) is satisfied, which is represented by $\begin{array}{cc}0.55<\mathrm{dG}1/.Math.f1.Math.<1.65.& \left(6-1\right)\end{array}$

20. The variable magnification optical system according to claim 19, wherein Conditional Expression (6-2) is satisfied, which is represented by $\begin{array}{cc}0.75<\mathrm{dG}1/.Math.f1.Math.<1.35.& \left(6-2\right)\end{array}$

21. The variable magnification optical system according to claim 19, wherein in a case where a distance on the optical axis between the L1nm lens and the L1n lens is denoted by dm, Conditional Expression (8) is satisfied, which is represented by $\begin{array}{cc}0.01<\mathrm{dm}/\mathrm{dG}1<0.9.& \left(8\right)\end{array}$

22. The variable magnification optical system according to claim 19, wherein the first lens group consists of four or less lenses.

23. The variable magnification optical system according to claim 19, wherein a surface of the L1n lens on the object side is an aspherical surface in which a refractive power at a position of a maximum effective diameter is shifted in a positive direction compared to a refractive power in a paraxial region.

24. The variable magnification optical system according to claim 1, wherein in a case where a focal length of the first lens group is denoted by f1, Conditional Expression (10) is satisfied, which is represented by $\begin{array}{cc}0.45<\mathrm{fw}/.Math.f1.Math.<2.& \left(10\right)\end{array}$

25. The variable magnification optical system according to claim 1, wherein the first lens group includes an L1nm lens that is a non-cemented negative meniscus lens having a convex surface toward the object side, and in a case where a paraxial curvature radius of a surface of the L1nm lens on the object side is denoted by Rf, and a paraxial curvature radius of a surface of the L1nm lens on the image side is denoted by Rr, Conditional Expression (11) is satisfied, which is represented by $\begin{array}{cc}1<\left(\mathrm{Rf}+\mathrm{Rr}\right)/\left(\mathrm{Rf}-\mathrm{Rr}\right)<7.& \left(11\right)\end{array}$

26. The variable magnification optical system according to claim 1, wherein a vibration-proof group that moves in a direction intersecting with the optical axis during image shake correction is disposed closer to the image side than the first lens group, and in a case where a focal length of the vibration-proof group is denoted by fois, Conditional Expression (12) is satisfied, which is represented by $\begin{array}{cc}0.3<\mathrm{ft}/.Math.\mathrm{fois}.Math.<4.& \left(12\right)\end{array}$

27. The variable magnification optical system according to claim 1, wherein in a case where a focal length of the focusing lens group is denoted by ffoc, Conditional Expression (13) is satisfied, which is represented by $\begin{array}{cc}0.3<\mathrm{ft}/.Math.\mathrm{ffoc}.Math.<3.& \left(13\right)\end{array}$

28. The variable magnification optical system according to claim 1, wherein an Lr lens is disposed closer to the image side than the focusing lens group, and in a case where a refractive index with respect to a d line and an Abbe number based on the d line for the Lr lens are denoted by Nr and vr, respectively, Conditional Expression (14) is satisfied, which is represented by $\begin{array}{cc}1.7<\mathrm{Nr}+0.01\mathrm{vr}<2.16.& \left(14\right)\end{array}$

29. An imaging apparatus comprising: the variable magnification optical system according to claim 1.

Description

BRIEF DESCRIPTION OF THE DRAWINGS

[0043] FIG. 1 is a diagram that corresponds to a variable magnification optical system of Example 1 and that illustrates a cross-sectional view and a moving path of a configuration of a variable magnification optical system according to one embodiment.

[0044] FIG. 2 is a cross-sectional view of the configuration of the variable magnification optical system in FIG. 1 and is a diagram for describing symbols of conditional expressions.

[0045] FIG. 3 is a diagram for describing a position of a maximum effective diameter.

[0046] FIG. 4 is each aberration diagram of the variable magnification optical system of Example 1.

[0047] FIG. 5 is a diagram illustrating a cross-sectional view and a moving path of a configuration of a variable magnification optical system of Example 2.

[0048] FIG. 6 is each aberration diagram of the variable magnification optical system of Example 2.

[0049] FIG. 7 is a diagram illustrating a cross-sectional view and a moving path of a configuration of a variable magnification optical system of Example 3.

[0050] FIG. 8 is each aberration diagram of the variable magnification optical system of Example 3.

[0051] FIG. 9 is a diagram illustrating a cross-sectional view and a moving path of a configuration of a variable magnification optical system of Example 4.

[0052] FIG. 10 is each aberration diagram of the variable magnification optical system of Example 4.

[0053] FIG. 11 is a diagram illustrating a cross-sectional view and a moving path of a configuration of a variable magnification optical system of Example 5.

[0054] FIG. 12 is each aberration diagram of the variable magnification optical system of Example 5.

[0055] FIG. 13 is a diagram illustrating a cross-sectional view and a moving path of a configuration of a variable magnification optical system of Example 6.

[0056] FIG. 14 is each aberration diagram of the variable magnification optical system of Example 6.

[0057] FIG. 15 is a diagram illustrating a cross-sectional view and a moving path of a configuration of a variable magnification optical system of Example 7.

[0058] FIG. 16 is each aberration diagram of the variable magnification optical system of Example 7.

[0059] FIG. 17 is a diagram illustrating a cross-sectional view and a moving path of a configuration of a variable magnification optical system of Example 8.

[0060] FIG. 18 is each aberration diagram of the variable magnification optical system of Example 8.

[0061] FIG. 19 is a diagram illustrating a cross-sectional view and a moving path of a configuration of a variable magnification optical system of Example 9.

[0062] FIG. 20 is each aberration diagram of the variable magnification optical system of Example 9.

[0063] FIG. 21 is a diagram illustrating a cross-sectional view and a moving path of a configuration of a variable magnification optical system of Example 10.

[0064] FIG. 22 is each aberration diagram of the variable magnification optical system of Example 10.

[0065] FIG. 23 is a diagram illustrating a cross-sectional view and a moving path of a configuration of a variable magnification optical system of Example 11.

[0066] FIG. 24 is each aberration diagram of the variable magnification optical system of Example 11.

[0067] FIG. 25 is a diagram illustrating a cross-sectional view and a moving path of a configuration of a variable magnification optical system of Example 12.

[0068] FIG. 26 is each aberration diagram of the variable magnification optical system of Example 12.

[0069] FIG. 27 is a diagram illustrating a cross-sectional view and a moving path of a configuration of a variable magnification optical system of Example 13.

[0070] FIG. 28 is each aberration diagram of the variable magnification optical system of Example 13.

[0071] FIG. 29 is a diagram illustrating a cross-sectional view and a moving path of a configuration of a variable magnification optical system of Example 14.

[0072] FIG. 30 is each aberration diagram of the variable magnification optical system of Example 14.

[0073] FIG. 31 is a diagram illustrating a cross-sectional view and a moving path of a configuration of a variable magnification optical system of Example 15.

[0074] FIG. 32 is each aberration diagram of the variable magnification optical system of Example 15.

[0075] FIG. 33 is a diagram illustrating a cross-sectional view and a moving path of a configuration of a variable magnification optical system of Example 16.

[0076] FIG. 34 is each aberration diagram of the variable magnification optical system of Example 16.

[0077] FIG. 35 is a diagram illustrating a cross-sectional view and a moving path of a configuration of a variable magnification optical system of Example 17.

[0078] FIG. 36 is each aberration diagram of the variable magnification optical system of Example 17.

[0079] FIG. 37 is a diagram illustrating a cross-sectional view and a moving path of a configuration of a variable magnification optical system of Example 18.

[0080] FIG. 38 is each aberration diagram of the variable magnification optical system of Example 18.

[0081] FIG. 39 is a diagram illustrating a cross-sectional view and a moving path of a configuration of a variable magnification optical system of Example 19.

[0082] FIG. 40 is each aberration diagram of the variable magnification optical system of Example 19.

[0083] FIG. 41 is a diagram illustrating a cross-sectional view and a moving path of a configuration of a variable magnification optical system of Example 20.

[0084] FIG. 42 is each aberration diagram of the variable magnification optical system of Example 20.

[0085] FIG. 43 is a perspective view of a front surface side of an imaging apparatus according to one embodiment.

[0086] FIG. 44 is a perspective view of a rear surface side of the imaging apparatus according to one embodiment.

DESCRIPTION OF EMBODIMENTS

[0087] Hereinafter, an embodiment of the present disclosure will be described with reference to the drawings.

[0088] FIG. 1 illustrates a cross-sectional view and a moving path of a configuration and a luminous flux of a variable magnification optical system according to one embodiment of the present disclosure. In FIG. 1, a wide angle end state is illustrated in an upper part denoted by Wide, and a telephoto end state is illustrated in a lower part denoted by Tele. As the luminous flux, FIG. 1 illustrates an on-axis luminous flux and a luminous flux of a maximum half angle of view ow at a wide angle end and an on-axis luminous flux and a luminous flux of a maximum half angle of view t at a telephoto end. FIG. 2 illustrates a cross-sectional view of the configuration at the wide angle end of the variable magnification optical system in FIG. 1. FIGS. 1 and 2 illustrate a state where an infinite distance object is focused. A left side is an object side, and a right side is an image side. The examples illustrated in FIGS. 1 and 2 correspond to a variable magnification optical system of Example 1 described later. The following description will be mainly provided with reference to FIG. 1, and FIG. 2 will be referred to, as necessary.

[0089] The variable magnification optical system according to the present disclosure consists of, in order from the object side to the image side along an optical axis Z, a first lens group G1 having a negative refractive power, a second lens group G2 having a positive refractive power, and a subsequent group GR including one or more lens groups. During changing magnification, the first lens group G1 moves, and spacings between all adjacent lens groups change. By the above configuration, an advantage of suppressing various aberrations in an entire magnification range is achieved.

[0090] Particularly, by setting the first lens group G1 as a group having a negative refractive power, an advantage of obtaining a wide angle of view is achieved. By setting the first lens group G1 as a group having a negative refractive power and setting the second lens group G2 as a group having a positive refractive power, an advantage of suppressing various aberrations is achieved. By setting the second lens group G2 as a group having a positive refractive power, a height of a ray incident on the subsequent group GR from the optical axis Z can be reduced. Thus, an advantage of suppressing fluctuations of aberrations during changing the magnification is achieved.

[0091] In the present specification, a group of which a spacing with respect to its adjacent group in an optical axis direction changes during changing the magnification is set as one lens group. During changing the magnification, a spacing between adjacent lenses does not change in one lens group. That is, the term lens group means a part that constitutes the variable magnification optical system and that includes at least one lens divided by an air spacing which changes during changing the magnification. During changing the magnification, each lens group is moved or fixed in lens group units. The term lens group may include a constituent, for example, an aperture stop St, other than a lens that does not have a refractive power.

[0092] For example, each group of the variable magnification optical system illustrated in FIG. 1 is configured as follows. The first lens group G1 consists of four lenses including lenses L11 to L14 in order from the object side to the image side. The second lens group G2 consists of a lens L21, the aperture stop St, and lenses L22 and L23 in order from the object side to the image side. The subsequent group GR consists of one lens group. The subsequent group GR consists of a third lens group G3, and the third lens group G3 consists of one lens that is a lens L31. The aperture stop St illustrated in FIG. 1 does not indicate a size or a shape and indicates a position on the optical axis.

[0093] In the example in FIG. 1, during changing the magnification, the first lens group G1, the second lens group G2, and the third lens group G3 move along the optical axis Z by changing their spacings with respect to their adjacent lens groups. In FIG. 1, a schematic moving path of each lens group during changing the magnification from the wide angle end to the telephoto end is illustrated by a solid line arrow between the upper part and the lower part of FIG. 1.

[0094] The example illustrated in FIG. 1 is merely an example, and various modifications can be made to the variable magnification optical system according to the present disclosure without departing from the gist of the disclosed technology. Hereinafter, preferable configurations and available configurations of the variable magnification optical system according to the present disclosure will be described.

[0095] The first lens group G1 may be configured to include a positive lens having a convex surface toward the object side, closest to the object side. In this case, an advantage of correcting a spherical aberration at the telephoto end is achieved.

[0096] The first lens group G1 may be configured to consist of four or less lenses. In this case, an increase in a size of the first lens group G1 can be suppressed while various aberrations are suppressed.

[0097] The first lens group G1 preferably includes an L1nm lens that is a non-cemented negative meniscus lens having a convex surface toward the object side, an L1n lens that is a non-cemented negative lens having a concave surface toward the image side, and an L1p lens that is a positive lens. The L1n lens is preferably disposed adjacent to the image side of the L1nm lens, and the L1p lens is preferably disposed closer to the image side than the L1n lens. The L1p lens may be disposed adjacent to the image side of the L1n lens, or may not be disposed adjacent to the image side of the L1n lens as long as the L1p lens is positioned closer to the image side than the L1n lens. In a case where the first lens group G1 has the preferable configuration including the L1nm lens, the L1n lens, and the L1p lens, an advantage of correcting a distortion and a field curvature particularly at the wide angle end is achieved. In the example in FIG. 1, the lens L12 corresponds to the L1nm lens, the lens L13 corresponds to the L1n lens, and the lens L14 corresponds to the L1p lens.

[0098] A surface of the L1n lens on the object side may be configured to be an aspherical surface in which the refractive power at a position of a maximum effective diameter is shifted in a positive direction compared to the refractive power in a paraxial region. In this case, an advantage of correcting the distortion is achieved.

[0099] The term position of the maximum effective diameter in the present specification will be described with reference to FIG. 3. FIG. 3 is a diagram for description. In FIG. 3, a left side is the object side, and a right side is the image side. FIG. 3 illustrates an on-axis luminous flux Xa and an off-axis luminous flux Xb passing through a lens Lx. In the example in FIG. 3, a ray Xb1 that is an upper ray of the off-axis luminous flux Xb is a ray passing through the outermost side. Here, the term outer side means an outer side in a diameter direction centered on the optical axis Z, that is, a side of separating from the optical axis Z. In the present specification, a position of an intersection between the ray passing through the outermost side and a lens surface is a position Px of the maximum effective diameter. In addition, twice a distance from the position Px of the maximum effective diameter to the optical axis Z is an effective diameter ED of a surface of the lens Lx on the object side. While the upper ray of the off-axis luminous flux Xb is the ray passing through the outermost side in the example in FIG. 3, which ray is the ray passing through the outermost side varies depending on the optical system.

[0100] The expression refractive power at the position of the maximum effective diameter is shifted in the positive direction compared to the refractive power in the paraxial region in the present specification has the following meanings based on a sign of the refractive power. In a case where the surface has a positive refractive power in both of the paraxial region and the position of the maximum effective diameter, this means that the positive refractive power is strong at the position of the maximum effective diameter compared to that in the paraxial region. In a case where the surface has a negative refractive power in both of the paraxial region and the position of the maximum effective diameter, this means that the negative refractive power is weak at the position of the maximum effective diameter compared to that in the paraxial region. In a case where the surface has refractive powers of different signs between the paraxial region and the position of the maximum effective diameter, this means that the refractive power is negative in the paraxial region, and the refractive power is positive at the position of the maximum effective diameter.

[0101] The surface of the Ln lens on the object side may be configured to have a concave shape in the paraxial region and have a convex shape in an edge part including the position of the maximum effective diameter. In this case, an advantage of correcting the field curvature is achieved.

[0102] The L1nm lens or the L1n lens may be configured as a compound aspherical lens. In this case, an advantage of suppressing various aberrations is achieved. A compound aspherical lens has an advantage of being available at a lower cost than a molded aspherical lens consisting of only glass, and having higher environmental durability than an aspherical lens consisting of only a resin.

[0103] In the present specification, a compound aspherical lens means a lens that has a configuration in which the lens (for example, a spherical lens) is integrated with a film of an aspherical shape formed on the lens and that functions as one aspherical lens as a whole. In the compound aspherical lens, the lens (for example, a spherical lens) on which the film is formed is generally made of glass, and the film is generally made of resin. In the present specification, the compound aspherical lens is not considered to be a cemented lens and is regarded as one non-cemented lens, that is, a single lens.

[0104] In a case where the first lens group G1 includes the L1n lens, an L2 nm lens that is a negative meniscus lens having a convex surface toward the object side may be configured to be disposed closer to the image side than the L1n lens, as illustrated in Examples 6 and 7 described later. In this case, an advantage of correcting the field curvature is achieved. The surface of the L2 nm lens on the object side may be configured to be an aspherical surface in which the refractive power at the position of the maximum effective diameter is shifted in a negative direction compared to the refractive power in the paraxial region. In this case, an advantage of further correcting the field curvature is achieved. The L2 nm lens is preferably disposed in the first lens group G1. The L2 nm lens may be disposed adjacent to the image side of the Lin lens.

[0105] The expression refractive power at the position of the maximum effective diameter is shifted in the negative direction compared to the refractive power in the paraxial region in the present specification has the following meanings based on a sign of the refractive power. In a case where the surface has a negative refractive power in both of the paraxial region and the position of the maximum effective diameter, this means that the negative refractive power is strong at the position of the maximum effective diameter compared to that in the paraxial region. In a case where the surface has a positive refractive power in both of the paraxial region and the position of the maximum effective diameter, this means that the positive refractive power is weak at the position of the maximum effective diameter compared to that in the paraxial region. In a case where the surface has refractive powers of different signs between the paraxial region and the position of the maximum effective diameter, this means that the refractive power is positive in the paraxial region, and the refractive power is negative at the position of the maximum effective diameter.

[0106] The variable magnification optical system according to the present disclosure preferably has a focusing function. For example, one lens group included in the subsequent group GR may be configured as a focusing lens group that moves along the optical axis Z during focusing. The focusing is performed by moving the focusing lens group. In the example in FIG. 1, the focusing lens group consists of the third lens group G3. Parentheses and an arrow in a left-right direction provided to the third lens group G3 in the lower part of FIG. 1 indicate that the third lens group G3 is the focusing lens group and indicate a direction in which the third lens group G3 moves during the focusing from an infinite distance object to a nearest object. While the focusing lens group functions in the entire magnification range including the wide angle end state, the arrow is provided in only the lower part of FIG. 1 in order to avoid complication of FIG. 1.

[0107] The focusing lens group may be configured to consist of one lens or one cemented lens. In this case, size reduction and weight reduction of the focusing lens group are facilitated. Thus, an advantage of high-speed focusing is achieved.

[0108] The variable magnification optical system according to the present disclosure preferably has a function of image shake correction. For example, a vibration-proof group that moves in a direction intersecting with the optical axis Z during the image shake correction may be configured to be disposed closer to the image side than the first lens group G1. The image shake correction is performed by moving the vibration-proof group. In the example in FIG. 1, the vibration-proof group consists of the lens L21. Parentheses and an arrow in a downward direction provided to the lens L21 in the lower part of FIG. 1 indicate that the lens L21 is the vibration-proof group. While the vibration-proof group functions in the entire magnification range including the wide angle end state, the arrow is provided in only the lower part of FIG. 1 in order to avoid complication of FIG. 1.

[0109] The vibration-proof group may be configured to consist of all lenses included in the second lens group G2. By using the second lens group G2 having a relatively low ray height as the vibration-proof group, an advantage of size reduction and weight reduction of the vibration-proof group is achieved. In a case where the second lens group G2 includes both of a positive lens and a negative lens, an advantage of suppressing fluctuations of a chromatic aberration during the image shake correction is achieved. The vibration-proof group may be configured to consist of one lens closest to the object side in the second lens group G2. By causing the vibration-proof group to consist of one lens, an advantage of size reduction and weight reduction of the vibration-proof group is achieved. By disposing the vibration-proof group closest to the object side in the second lens group G2, it is facilitated to secure a space for installing a vibration-proof mechanism.

[0110] The number of lenses included in the variable magnification optical system according to the present disclosure may be configured to be greater than or equal to 8 and less than or equal to 12. In this case, an advantage of size reduction and weight reduction of the entire optical system is achieved.

[0111] Next, preferable configurations and available configurations related to conditional expressions of the variable magnification optical system according to the present disclosure will be described. In the following description related to the conditional expressions, duplicate descriptions of symbols will be omitted by using the same symbol for the same definition in order to avoid redundant description. In addition, hereinafter, the term variable magnification optical system according to the present disclosure will be simply referred to as the variable magnification optical system in order to avoid redundant description.

[0112] The variable magnification optical system preferably satisfies Conditional Expression (1) below. A sum of a back focus of the entire system as an air conversion distance and a distance on the optical axis from a lens surface of the first lens group G1 closest to the object side to a lens surface of the subsequent group GR closest to the image side in a state where the infinite distance object is focused on at the wide angle end is denoted by TLw. A focal length of the entire system in a state where the infinite distance object is focused on at the telephoto end is denoted by ft. A maximum half angle of view in the state where the infinite distance object is focused on at the telephoto end is denoted by t. Here, tan is a tangent. TLw denotes a total optical length in the state where the infinite distance object is focused on at the wide angle end. For example, FIG. 2 illustrates the total optical length TLw. By not causing a corresponding value of Conditional Expression (1) to be less than or equal to its lower limit value, an advantage of suppressing various aberrations in the entire magnification range is achieved. By not causing the corresponding value of Conditional Expression (1) to be greater than or equal to its upper limit value, an advantage of size reduction of the entire optical system is achieved.

[00022]$\begin{array}{cc}4.5<\mathrm{TLw}/\left(ft\tan t\right)<8& \left(1\right)\end{array}$

[0113] In order to obtain more favorable characteristics, the lower limit value of Conditional Expression (1) is more preferably 5, further preferably 5.3, further preferably 5.4, further preferably 5.6, and further preferably 5.7. In order to obtain more favorable characteristics, the upper limit value of Conditional Expression (1) is more preferably 7.5, further preferably 7.2, further preferably 7, further preferably 6.9, and further preferably 6.8. For example, the variable magnification optical system more preferably satisfies Conditional Expression (1-1) below.

[00023]$\begin{array}{cc}5.4<\mathrm{TLw}/\left(ft\tan t\right)<7& \left(1-1\right)\end{array}$

[0114] The variable magnification optical system preferably satisfies Conditional Expression (2) below. Here, the back focus of the entire system as the air conversion distance in the state where the infinite distance object is focused on at the wide angle end is denoted by Bfw. The back focus as the air conversion distance is an air conversion distance on the optical axis from a lens surface of the variable magnification optical system closest to the image side to an image plane Sim. For example, FIG. 2 illustrates the back focus Bfw. By not causing a corresponding value of Conditional Expression (2) to be less than or equal to its lower limit value, the back focus Bfw is not excessively decreased. Thus, it is facilitated to attach a mount replacement mechanism. By not causing the corresponding value of Conditional Expression (2) to be greater than or equal to its upper limit value, the back focus Bfw is not excessively increased. Thus, size reduction is facilitated.

[00024]$\begin{array}{cc}0.4<\mathrm{Bfw}/\left(ft\tan t\right)<3& \left(2\right)\end{array}$

[0115] In order to obtain more favorable characteristics, the lower limit value of Conditional Expression (2) is more preferably 0.45, further preferably 0.5, further preferably 0.55, and further preferably 0.6. In order to obtain more favorable characteristics, the upper limit value of Conditional Expression (2) is more preferably 2.5, further preferably 2.2, further preferably 2, and further preferably 1.8. For example, the variable magnification optical system more preferably satisfies Conditional Expression (2-1) below.

[00025]$\begin{array}{cc}0.55<\mathrm{Bfw}/\left(ft\tan t\right)<2& \left(2-1\right)\end{array}$

[0116] The variable magnification optical system preferably satisfies Conditional Expression (3) below. Here, a focal length of the entire system in the state where the infinite distance object is focused on at the wide angle end is denoted by fw. By not causing a corresponding value of Conditional Expression (3) to be less than or equal to its lower limit value, an advantage of suppressing various aberrations in the entire magnification range is achieved. By not causing the corresponding value of Conditional Expression (3) to be greater than or equal to its upper limit value, an advantage of size reduction of the entire optical system is achieved, or an advantage of obtaining a sufficient magnification ratio as the variable magnification optical system is achieved.

[00026]$\begin{array}{cc}0.9<\left(\mathrm{fw}\mathrm{TLw}\right)/{\mathrm{ft}}^2<3.2& \left(3\right)\end{array}$

[0117] In order to obtain more favorable characteristics, the lower limit value of Conditional Expression (3) is more preferably 1, further preferably 1.1, further preferably 1.2, and further preferably 1.25. In order to obtain more favorable characteristics, the upper limit value of Conditional Expression (3) is more preferably 3, further preferably 2.8, further preferably 2.6, and further preferably 2.45.

[0118] The variable magnification optical system preferably satisfies Conditional Expression (4) below. Here, a refractive index with respect to a d line and an Abbe number based on the d line for any lens included in the first lens group G1 are denoted by NG1L and vG1L, respectively. NG1L and vG1L in Conditional Expression (4) are values related to the same lens. By not causing a corresponding value of Conditional Expression (4) to be less than or equal to its lower limit value, a material other than a material having a low refractive index and a small Abbe number can be selected. Thus, it is facilitated to correct the lateral chromatic aberration at the wide angle end. By not causing the corresponding value of Conditional Expression (4) to be greater than or equal to its upper limit value, a material other than a material having a high refractive index and a large Abbe number can be selected. Thus, a material of which a specific gravity is not large can be selected, and weight reduction is facilitated.

[00027]$\begin{array}{cc}1.6<\mathrm{NG}1L+0.01\mathrm{vG}1L<2.3& \left(4\right)\end{array}$

[0119] In order to obtain more favorable characteristics, the lower limit value of Conditional Expression (4) is more preferably 1.65, further preferably 1.7, further preferably 1.72, further preferably 1.74, further preferably 1.76, further preferably 1.78, further preferably 1.8, and further preferably 1.82. In order to obtain more favorable characteristics, the upper limit value of Conditional Expression (4) is more preferably 2.2, further preferably 2.16, further preferably 2.15, further preferably 2.14, further preferably 2.13, further preferably 2.12, further preferably 2.11, and further preferably 1.91. For example, the variable magnification optical system more preferably satisfies Conditional Expression (4-1) below.

[00028]$\begin{array}{cc}1.82<\mathrm{NG}1L+0.01\mathrm{vG}1L<1.91& \left(4-1\right)\end{array}$

[0120] The variable magnification optical system preferably satisfies Conditional Expression (5) below. Here, a sum total of thicknesses of all lens groups on the optical axis is denoted by Dsum. In other words, Dsum is obtained by adding the thickness of each lens group on the optical axis for all lens groups of the entire system. The term thickness of the lens group on the optical axis in the present specification refers to a distance on the optical axis from a surface of the lens group closest to the object side to a surface of the lens group closest to the image side. By not causing a corresponding value of Conditional Expression (5) to be less than or equal to its lower limit value, a thickness of each lens in the variable magnification optical system is not excessively decreased. Thus, an advantage of securing favorable optical performance is achieved. By not causing the corresponding value of Conditional Expression (5) to be greater than or equal to its upper limit value, an advantage of suppressing an increase in a weight of the entire variable magnification optical system is achieved.

[00029]$\begin{array}{cc}0.1<\mathrm{Dsum}/\left(\mathrm{TLw}-\mathrm{Bfw}\right)<0.8& \left(5\right)\end{array}$

[0121] In order to obtain more favorable characteristics, the lower limit value of Conditional Expression (5) is more preferably 0.2, further preferably 0.25, further preferably 0.28, further preferably 0.3, and further preferably 0.32. In order to obtain more favorable characteristics, the upper limit value of Conditional Expression (5) is more preferably 0.75, further preferably 0.7, further preferably 0.65, further preferably 0.6, and further preferably 0.55.

[0122] The variable magnification optical system preferably satisfies Conditional Expression (6) below. Here, a thickness of the first lens group G1 on the optical axis is denoted by dG1. A focal length of the first lens group G1 is denoted by f1. For example, FIG. 2 illustrates the thickness dG1. By not causing a corresponding value of Conditional Expression (6) to be less than or equal to its lower limit value, an advantage of suppressing various aberrations in the entire magnification range is achieved. By not causing the corresponding value of Conditional Expression (6) to be greater than or equal to its upper limit value, an advantage of weight reduction of the first lens group G1 is achieved.

[00030]$\begin{array}{cc}0.4<\mathrm{dG}1/.Math.f1.Math.<2& \left(6\right)\end{array}$

[0123] In order to obtain more favorable characteristics, the lower limit value of Conditional Expression (6) is more preferably 0.5, further preferably 0.55, further preferably 0.65, further preferably 0.7, further preferably 0.75, and further preferably 0.8. In order to obtain more favorable characteristics, the upper limit value of Conditional Expression (6) is more preferably 1.8, further preferably 1.65, further preferably 1.55, further preferably 1.45, further preferably 1.35, and further preferably 1.31. For example, the variable magnification optical system more preferably satisfies Conditional Expression (6-1) below and further preferably satisfies Conditional Expression (6-2) below.

[00031]$\begin{array}{cc}0.55<\mathrm{dG}1/.Math.f1.Math.<1.65& \left(6-1\right)\end{array}$$\begin{array}{cc}0.75<\mathrm{dG}1/.Math.f1.Math.<1.35& \left(6-2\right)\end{array}$

[0124] In a configuration in which the first lens group G1 includes the L1nm lens, the L1n lens, and the L1p lens, the L1n lens is disposed adjacent to the image side of the L1nm lens, and the L1p lens is disposed closer to the image side than the L1n lens, the variable magnification optical system preferably includes a negative lens satisfying Conditional Expression (7) below. In this case, the negative lens satisfying Conditional Expression (7) is preferably the L1n lens or a negative lens disposed adjacent to the image side of the L1n lens. Here, a refractive index with respect to the d line and an Abbe number based on the d line for the negative lens disposed between the L1nm lens and the L1p lens are denoted by NG1n and vG1n, respectively. By not causing a corresponding value of Conditional Expression (7) to be less than or equal to its lower limit value, a material other than a material having a low refractive index and a small Abbe number can be selected. Thus, it is facilitated to correct the lateral chromatic aberration at the wide angle end. By not causing the corresponding value of Conditional Expression (7) to be greater than or equal to its upper limit value, a material other than a material having a high refractive index and a large Abbe number can be selected. Thus, a material of which a specific gravity is not large can be selected, and weight reduction is facilitated.

[00032]$\begin{array}{cc}1.7<\mathrm{NG}1n+0.01\mathrm{vG}1n<2.16& \left(7\right)\end{array}$

[0125] In order to obtain more favorable characteristics, the lower limit value of Conditional Expression (7) is more preferably 1.72, further preferably 1.74, further preferably 1.76, further preferably 1.78, and further preferably 1.8. In order to obtain more favorable characteristics, the upper limit value of Conditional Expression (7) is more preferably 2.15, further preferably 2.14, further preferably 2.13, further preferably 2.12, and further preferably 2.11. For example, the negative lens satisfying Conditional Expression (7) more preferably satisfies Conditional Expression (7-1) below.

[00033]$\begin{array}{cc}1.74<\mathrm{NG}1n+0.01\mathrm{vG}1n<2.14& \left(7-1\right)\end{array}$

[0126] In a configuration in which the first lens group G1 includes the L1nm lens, the L1n lens, and the L1p lens, the L1n lens is disposed adjacent to the image side of the L1nm lens, and the L1p lens is disposed closer to the image side than the L1n lens, the variable magnification optical system preferably satisfies Conditional Expression (8) below. Here, a distance on the optical axis between the L1nm lens and the L1n lens is denoted by dm. For example, FIG. 2 illustrates the distance dm. By not causing a corresponding value of Conditional Expression (8) to be less than or equal to its lower limit value, intensity of stray light that is reflected by the surface of the L1n lens on the object side and then is reflected by a surface of the L1nm lens on the image side to be concentrated on the image plane Sim can be suppressed. By not causing the corresponding value of Conditional Expression (8) to be greater than or equal to its upper limit value, an increase in a diameter of the L1nm lens can be suppressed.

[00034]$\begin{array}{cc}0.01<\mathrm{dm}/\mathrm{dG}1<0.9& \left(8\right)\end{array}$

[0127] In order to obtain more favorable characteristics, the lower limit value of Conditional Expression (8) is more preferably 0.1, further preferably 0.15, further preferably 0.17, further preferably 0.19, and further preferably 0.2. In order to obtain more favorable characteristics, the upper limit value of Conditional Expression (8) is more preferably 0.8, further preferably 0.7, further preferably 0.65, further preferably 0.6, and further preferably 0.57.

[0128] The variable magnification optical system preferably satisfies Conditional Expression (9) below. Here, a focal length of the second lens group G2 is denoted by f2. By not causing a corresponding value of Conditional Expression (9) to be less than or equal to its lower limit value, a refractive power of the first lens group G1 is not excessively decreased, and a refractive power of the second lens group G2 is not excessively increased. Thus, an advantage of correcting the spherical aberration on a telephoto side is achieved. By not causing the corresponding value of Conditional Expression (9) to be greater than or equal to its upper limit value, the refractive power of the first lens group G1 is not excessively increased, and the refractive power of the second lens group G2 is not excessively decreased. Thus, an advantage of correcting the spherical aberration on a wide angle side is achieved. In addition, by not causing the corresponding value of Conditional Expression (9) to be greater than or equal to its upper limit value, it is facilitated to obtain a high magnification ratio without increasing a moving amount of the second lens group G2 having a magnification function. Thus, an advantage of size reduction of the total optical length is achieved.

[00035]$\begin{array}{cc}0.3<f2/.Math.f1.Math.<5& \left(9\right)\end{array}$

[0129] In order to obtain more favorable characteristics, the lower limit value of Conditional Expression (9) is more preferably 0.65, further preferably 0.7, further preferably 0.75, and further preferably 0.8. In order to obtain more favorable characteristics, the upper limit value of Conditional Expression (9) is more preferably 3, further preferably 2.8, further preferably 2.6, and further preferably 2.5. For example, the variable magnification optical system more preferably satisfies Conditional Expression (9-1) below.

[00036]$\begin{array}{cc}0.65<f2/.Math.f1.Math.<3& \left(9-1\right)\end{array}$

[0130] The variable magnification optical system preferably satisfies Conditional Expression (10) below. By not causing a corresponding value of Conditional Expression (10) to be less than or equal to its lower limit value, the refractive power of the first lens group G1 is not excessively decreased. Thus, a moving amount of the first lens group G1 during changing the magnification can be suppressed. By not causing the corresponding value of Conditional Expression (10) to be greater than or equal to its upper limit value, the refractive power of the first lens group G1 is not excessively increased. Thus, an advantage of suppressing fluctuations of aberrations during changing the magnification is achieved.

[00037]$\begin{array}{cc}0.45<\mathrm{fw}/.Math.f1.Math.<2& \left(10\right)\end{array}$

[0131] In order to obtain more favorable characteristics, the lower limit value of Conditional Expression (10) is more preferably 0.52, further preferably 0.58, further preferably 0.62, and further preferably 0.65. In order to obtain more favorable characteristics, the upper limit value of Conditional Expression (10) is more preferably 1.7, further preferably 1.5, further preferably 1.4, and further preferably 1.3.

[0132] In a configuration in which the first lens group G1 includes the L1nm lens, the variable magnification optical system preferably satisfies Conditional Expression (11) below. Here, a paraxial curvature radius of a surface of the L1nm lens on the object side is denoted by Rf. A paraxial curvature radius of the surface of the L1nm lens on the image side is denoted by Rr. Conditional Expression (11) defines a so-called shape factor of the L1nm lens. By not causing a corresponding value of Conditional Expression (11) to be less than or equal to its lower limit value, it is particularly facilitated to correct an astigmatism on the telephoto side. By not causing the corresponding value of Conditional Expression (11) to be greater than or equal to its upper limit value, it is facilitated to favorably correct the spherical aberration on the telephoto side.

[00038]$\begin{array}{cc}1<\left(\mathrm{Rf}+\mathrm{Rr}\right)/\left(\mathrm{Rf}-\mathrm{Rr}\right)<7& \left(11\right)\end{array}$

[0133] In order to obtain more favorable characteristics, the lower limit value of Conditional Expression (11) is more preferably 1.1, further preferably 1.15, further preferably 1.2, and further preferably 1.25. In order to obtain more favorable characteristics, the upper limit value of Conditional Expression (11) is more preferably 6, further preferably 5, further preferably 4.5, and further preferably 4.

[0134] In a configuration in which the vibration-proof group that moves in the direction intersecting with the optical axis Z during the image shake correction is disposed closer to the image side than the first lens group G1, the variable magnification optical system preferably satisfies Conditional Expression (12) below. Here, a focal length of the vibration-proof group is denoted by fois. By not causing a corresponding value of Conditional Expression (12) to be less than or equal to its lower limit value, a moving amount of the vibration-proof group during the image shake correction can be suppressed. Thus, an advantage of size reduction of the entire variable magnification optical system and size reduction of a vibration-proof unit is achieved. By not causing the corresponding value of Conditional Expression (12) to be greater than or equal to its upper limit value, a refractive power of the vibration-proof group is not excessively increased. Thus, an advantage of suppressing fluctuations of aberrations during the image shake correction is achieved.

[00039]$\begin{array}{cc}0.3<\mathrm{ft}/.Math.\mathrm{fois}.Math.<4& \left(12\right)\end{array}$

[0135] In order to obtain more favorable characteristics, the lower limit value of Conditional Expression (12) is more preferably 0.5, further preferably 0.6, further preferably 0.65, and further preferably 0.7. In order to obtain more favorable characteristics, the upper limit value of Conditional Expression (12) is more preferably 3.5, further preferably 3, further preferably 2.5, and further preferably 2.

[0136] In a configuration in which the variable magnification optical system includes the focusing lens group, the variable magnification optical system preferably satisfies Conditional Expression (13) below. Here, a focal length of the focusing lens group is denoted by ffoc. By not causing a corresponding value of Conditional Expression (13) to be less than or equal to its lower limit value, a refractive power of the focusing lens group is not excessively decreased. Thus, a moving amount of the focusing lens group during the focusing can be suppressed. By not causing the corresponding value of Conditional Expression (13) to be greater than or equal to its upper limit value, the refractive power of the focusing lens group is not excessively increased. Thus, an advantage of suppressing fluctuations of aberrations during the focusing is achieved.

[00040]$\begin{array}{cc}0.3<\mathrm{ft}/.Math.\mathrm{ffoc}.Math.<3& \left(13\right)\end{array}$

[0137] In order to obtain more favorable characteristics, the lower limit value of Conditional Expression (13) is more preferably 0.4, further preferably 0.5, further preferably 0.55, and further preferably 0.6. In order to obtain more favorable characteristics, the upper limit value of Conditional Expression (13) is more preferably 2.5, further preferably 2.2, further preferably 1.9, and further preferably 1.8.

[0138] In a configuration in which the variable magnification optical system includes the focusing lens group and an Lr lens disposed closer to the image side than the focusing lens group, the variable magnification optical system preferably satisfies Conditional Expression (14) below. Here, a refractive index with respect to the d line and an Abbe number based on the d line for the Lr lens are denoted by Nr and vr, respectively. By not causing a corresponding value of Conditional Expression (14) to be less than or equal to its lower limit value, a material other than a material having a low refractive index and a small Abbe number can be selected. Thus, it is facilitated to correct the lateral chromatic aberration at the wide angle end. By not causing the corresponding value of Conditional Expression (14) to be greater than or equal to its upper limit value, a material other than a material having a high refractive index and a large Abbe number can be selected. Thus, a material of which a specific gravity is not large can be selected, and weight reduction is facilitated.

[00041]$\begin{array}{cc}1.7<\mathrm{Nr}+0.01vr<2\text{.16}& \left(14\right)\end{array}$

[0139] In order to obtain more favorable characteristics, the lower limit value of Conditional Expression (14) is more preferably 1.72, further preferably 1.74, further preferably 1.76, further preferably 1.78, and further preferably 1.8. In order to obtain more favorable characteristics, the upper limit value of Conditional Expression (14) is more preferably 2.15, further preferably 2.14, further preferably 2.13, further preferably 2.12, and further preferably 2.11.

[0140] The variable magnification optical system preferably satisfies Conditional Expression (15) below. By not causing a corresponding value of Conditional Expression (15) to be less than or equal to its lower limit value, the refractive power of the first lens group G1 is not excessively decreased. Thus, the moving amount of the first lens group G1 during changing the magnification can be suppressed. By not causing the corresponding value of Conditional Expression (15) to be greater than or equal to its upper limit value, the refractive power of the first lens group G1 is not excessively increased. Thus, an advantage of suppressing fluctuations of aberrations during changing the magnification is achieved.

[00042]$\begin{array}{cc}1<\mathrm{ft}/.Math.f1.Math.<3.5& \left(15\right)\end{array}$

[0141] In order to obtain more favorable characteristics, the lower limit value of Conditional Expression (15) is more preferably 1.1, further preferably 1.2, and further preferably 1.3. In order to obtain more favorable characteristics, the upper limit value of Conditional Expression (15) is more preferably 3, further preferably 2.8, and further preferably 2.5.

[0142] The variable magnification optical system preferably satisfies Conditional Expression (16) below. By not causing a corresponding value of Conditional Expression (16) to be less than or equal to its lower limit value, the refractive power of the first lens group G1 is not excessively increased. Thus, an advantage of suppressing fluctuations of aberrations during changing the magnification is achieved. By not causing the corresponding value of Conditional Expression (16) to be greater than or equal to its upper limit value, the refractive power of the first lens group G1 is not excessively decreased. Thus, the moving amount of the first lens group G1 during changing the magnification can be suppressed, and an advantage of suppressing the distortion at the wide angle end is achieved.

[00043]$\begin{array}{cc}0.4<.Math.\mathrm{f1}.Math./{\left(\mathrm{fw}\mathrm{ft}\right)}^{1/2}<2.2& \left(16\right)\end{array}$

[0143] In order to obtain more favorable characteristics, the lower limit value of Conditional Expression (16) is more preferably 0.5, further preferably 0.55, and further preferably 0.6. In order to obtain more favorable characteristics, the upper limit value of Conditional Expression (16) is more preferably 1.8, further preferably 1.5, and further preferably 1.4.

[0144] The variable magnification optical system preferably satisfies Conditional Expression (17) below. By not causing a corresponding value of Conditional Expression (17) to be less than or equal to its lower limit value, the refractive power of the second lens group G2 is not excessively increased. Thus, the field curvature occurring in the second lens group G2 can be reduced, and an advantage of correcting aberrations during changing the magnification is achieved. By not causing the corresponding value of Conditional Expression (17) to be greater than or equal to its upper limit value, the refractive power of the second lens group G2 is not excessively decreased. Thus, the moving amount of the second lens group G2 during changing the magnification can be suppressed. Accordingly, an advantage of reducing the total optical length is achieved.

[00044]$\begin{array}{cc}0.4<f2/{\left(\mathrm{fw}\mathrm{ft}\right)}^{1/2}<3.5& \left(17\right)\end{array}$

[0145] In order to obtain more favorable characteristics, the lower limit value of Conditional Expression (17) is more preferably 0.6, further preferably 0.7, and further preferably 0.8. In order to obtain more favorable characteristics, the upper limit value of Conditional Expression (17) is more preferably 2.7, further preferably 2.2, and further preferably 1.8.

[0146] The variable magnification optical system preferably satisfies Conditional Expression (18) below. By not causing a corresponding value of Conditional Expression (18) to be less than or equal to its lower limit value, an advantage of securing strength of the first lens group G1 is achieved. By not causing the corresponding value of Conditional Expression (18) to be greater than or equal to its upper limit value, an advantage of weight reduction of the first lens group G1 is achieved.

[00045]$\begin{array}{cc}0.15<\mathrm{dG}1/\left(\mathrm{TLw}-\mathrm{Bfw}\right)<0.5& \left(18\right)\end{array}$

[0147] In order to obtain more favorable characteristics, the lower limit value of Conditional Expression (18) is more preferably 0.17, further preferably 0.18, and further preferably 0.19. In order to obtain more favorable characteristics, the upper limit value of Conditional Expression (18) is more preferably 0.4, further preferably 0.35, and further preferably 0.32.

[0148] The variable magnification optical system preferably satisfies Conditional Expression (19) below. Here, an open F-number in the state where the infinite distance object is focused on at the telephoto end is denoted by FNot. By not causing a corresponding value of Conditional Expression (19) to be less than or equal to its lower limit value, an advantage of high performance is achieved. By not causing the corresponding value of Conditional Expression (19) to be greater than or equal to its upper limit value, the refractive power of the first lens group G1 is not excessively decreased. Thus, the moving amount of the first lens group G1 during changing the magnification can be suppressed, and an advantage of suppressing the distortion at the wide angle end is achieved.

[00046]$\begin{array}{cc}1.5<.Math.f1.Math./\mathrm{ft}/\mathrm{FNot})<8& \left(19\right)\end{array}$

[0149] In order to obtain more favorable characteristics, the lower limit value of Conditional Expression (19) is more preferably 2, further preferably 2.3, and further preferably 2.5. In order to obtain more favorable characteristics, the upper limit value of Conditional Expression (19) is more preferably 7, further preferably 6.5, and further preferably 6.

[0150] The variable magnification optical system preferably satisfies Conditional Expression (20) below. By not causing a corresponding value of Conditional Expression (20) to be less than or equal to its lower limit value, the refractive power of the focusing lens group is not excessively decreased. Thus, the moving amount of the focusing lens group during the focusing can be suppressed. By not causing the corresponding value of Conditional Expression (20) to be greater than or equal to its upper limit value, the refractive power of the focusing lens group is not excessively increased. Thus, an advantage of suppressing fluctuations of aberrations during the focusing is achieved.

[00047]$\begin{array}{cc}0.1<\mathrm{fw}/.Math.\mathrm{ffoc}.Math.<2& \left(20\right)\end{array}$

[0151] In order to obtain more favorable characteristics, the lower limit value of Conditional Expression (20) is more preferably 0.16, further preferably 0.18, and further preferably 0.2. In order to obtain more favorable characteristics, the upper limit value of Conditional Expression (20) is more preferably 1.5, further preferably 1.2, and further preferably 1.

[0152] In a configuration in which the first lens group G1 includes the L1nm lens, the variable magnification optical system preferably satisfies Conditional Expression (21) below. Here, a refractive index with respect to the d line for the L1nm lens is denoted by N1nm. By not causing a corresponding value of Conditional Expression (21) to be less than or equal to its lower limit value, it is facilitated to provide the L1nm lens with a sufficient negative refractive power. Thus, an advantage of favorably correcting the distortion is achieved. By not causing the corresponding value of Conditional Expression (21) to be greater than or equal to its upper limit value, it is facilitated to configure the L1nm lens without using a material having high dispersion. Thus, an advantage of favorably correcting the lateral chromatic aberration is achieved.

[00048]$\begin{array}{cc}1.42<N1\mathrm{nm}<1.8& \left(21\right)\end{array}$

[0153] In order to obtain more favorable characteristics, the lower limit value of Conditional Expression (21) is more preferably 1.43, further preferably 1.44, further preferably 1.45, further preferably 1.46, further preferably 1.47, and further preferably 1.48. In order to obtain more favorable characteristics, the upper limit value of Conditional Expression (21) is more preferably 1.75, further preferably 1.7, further preferably 1.65, further preferably 1.6, further preferably 1.55, and further preferably 1.52.

[0154] In a configuration in which the first lens group G1 includes the L1nm lens, the L1n lens, and the L1p lens, the L1n lens is disposed adjacent to the image side of the L1nm lens, and the L1p lens is disposed closer to the image side than the L1n lens, the variable magnification optical system preferably includes a negative lens satisfying Conditional Expression (22) below. In this case, the negative lens satisfying Conditional Expression (22) is preferably the L1n lens or a negative lens disposed adjacent to the image side of the L1n lens. Here, a refractive index with respect to the d line for the negative lens disposed between the L1nm lens and the L1p lens is denoted by NG1n. By not causing a corresponding value of Conditional Expression (22) to be less than or equal to its lower limit value, it is facilitated to provide the L1n lens or the negative lens disposed adjacent to the image side of the L1n lens with a sufficient negative refractive power. Thus, an advantage of favorably correcting the distortion is achieved. By not causing the corresponding value of Conditional Expression (22) to be greater than or equal to its upper limit value, it is facilitated to configure the L1n lens or the negative lens disposed adjacent to the image side of the L1n lens without using a material having high dispersion. Thus, an advantage of favorably correcting the lateral chromatic aberration is achieved.

[00049]$\begin{array}{cc}1.44<\mathrm{NG}1n<1.8& \left(22\right)\end{array}$

[0155] In order to obtain more favorable characteristics, the lower limit value of Conditional Expression (22) is more preferably 1.48, further preferably 1.51, and further preferably 1.53. In order to obtain more favorable characteristics, the upper limit value of Conditional Expression (22) is more preferably 1.7, further preferably 1.65, and further preferably 1.6.

[0156] In a configuration in which the variable magnification optical system includes the focusing lens group, the variable magnification optical system preferably satisfies Conditional Expression (23) below. Here, a thickness of the focusing lens group on the optical axis is denoted by Dfoc. The term thickness of the focusing lens group on the optical axis is a distance on the optical axis from a surface of the focusing lens group closest to the object side to a surface of the focusing lens group closest to the image side. For example, FIG. 2 illustrates the thickness Dfoc. By not causing a corresponding value of Conditional Expression (23) to be less than or equal to its lower limit value, the thickness of the focusing lens group is not excessively decreased. Thus, an advantage of securing strength of the focusing lens group is achieved. By not causing the corresponding value of Conditional Expression (23) to be greater than or equal to its upper limit value, the thickness of the focusing lens group is not excessively increased. Thus, an advantage of high-speed focusing is achieved.

[00050]$\begin{array}{cc}0.025<\mathrm{Dfoc}/\left(\mathrm{ft}\tan t\right)<0.4& \left(23\right)\end{array}$

[0157] In order to obtain more favorable characteristics, the lower limit value of Conditional Expression (23) is more preferably 0.027, further preferably 0.029, and further preferably 0.03. In order to obtain more favorable characteristics, the upper limit value of Conditional Expression (23) is more preferably 0.35, further preferably 0.3, and further preferably 0.25.

[0158] In a configuration in which the variable magnification optical system includes the focusing lens group, and the focusing lens group consists of one lens, the variable magnification optical system preferably satisfies Conditional Expression (24) below. Here, an Abbe number based on the d line for the lens constituting the focusing lens group is denoted by vfoc. By not causing a corresponding value of Conditional Expression (24) to be less than or equal to its lower limit value, an advantage of suppressing fluctuations of the chromatic aberration during the focusing is achieved. By not causing the corresponding value of Conditional Expression (24) to be greater than or equal to its upper limit value, a material that is easily obtainable can be used. Thus, an advantage of implementing a variable magnification optical system in which the spherical aberration and the astigmatism are suppressed is achieved.

[00051]$\begin{array}{cc}20<\mathrm{vfoc}<95& \left(24\right)\end{array}$

[0159] In order to obtain more favorable characteristics, the lower limit value of Conditional Expression (24) is more preferably 25, further preferably 34, further preferably 39, further preferably 43, further preferably 47, and further preferably 50. In order to obtain more favorable characteristics, the upper limit value of Conditional Expression (24) is more preferably 83, further preferably 78, further preferably 73, further preferably 68, further preferably 63, and further preferably 58.

[0160] The variable magnification optical system preferably satisfies Conditional Expression (25) below. Here, a maximum half angle of view in the state where the infinite distance object is focused on at the wide angle end is denoted by w. Here, ow is in degree units. By not causing a corresponding value of Conditional Expression (25) to be less than or equal to its lower limit value, an advantage of obtaining a wide angle is achieved. By not causing the corresponding value of Conditional Expression (25) to be greater than or equal to its upper limit value, an advantage of size reduction is achieved.

[00052]$\begin{array}{cc}40<w<70& \left(25\right)\end{array}$

[0161] In order to obtain more favorable characteristics, the lower limit value of Conditional Expression (25) is more preferably 44, further preferably 46, and further preferably 48. In order to obtain more favorable characteristics, the upper limit value of Conditional Expression (25) is more preferably 65, further preferably 60, and further preferably 56.

[0162] The variable magnification optical system preferably satisfies Conditional Expression (26) below. By not causing a corresponding value of Conditional Expression (26) to be less than or equal to its lower limit value, an advantage of implementing a high magnification ratio is achieved. By not causing the corresponding value of Conditional Expression (26) to be greater than or equal to its upper limit value, an advantage of suppressing fluctuations of aberrations during changing the magnification is achieved.

[00053]$\begin{array}{cc}1.5<\mathrm{ft}/\mathrm{fw}<3& \left(26\right)\end{array}$

[0163] In order to obtain more favorable characteristics, the lower limit value of Conditional Expression (26) is more preferably 1.6, further preferably 1.65, and further preferably 1.7. In order to obtain more favorable characteristics, the upper limit value of Conditional Expression (26) is more preferably 2.6, further preferably 2.3, and further preferably 2.1.

[0164] In a configuration in which the first lens group G1 includes the L1n lens, the variable magnification optical system preferably satisfies Conditional Expression (27) below. Here, a specific gravity of the L1n lens is denoted by pL1n. By not causing a corresponding value of Conditional Expression (27) to be less than or equal to its lower limit value, it is facilitated to use a material that is easily obtainable. By not causing the corresponding value of Conditional Expression (27) to be greater than or equal to its upper limit value, an advantage of weight reduction of the optical system is achieved.

[00054]$\begin{array}{cc}0.75<L1n<3.2& \left(27\right)\end{array}$

[0165] In order to obtain more favorable characteristics, the lower limit value of Conditional Expression (27) is more preferably 0.8, further preferably 0.82, further preferably 0.84, further preferably 0.86, further preferably 0.88, further preferably 0.9, and further preferably 0.92. In order to obtain more favorable characteristics, the upper limit value of Conditional Expression (27) is more preferably 2.9, further preferably 2.6, further preferably 2.4, further preferably 2.2, further preferably 2, further preferably 1.8, and further preferably 1.6.

[0166] In a configuration in which the first lens group G1 includes the L1n lens, and the Lin lens is a lens consisting of only resin, the variable magnification optical system preferably satisfies Conditional Expression (28) below. Here, a center thickness of the L1n lens is denoted by dL1n. A thickness of the L1n lens in a direction parallel to the optical axis Z at the position of the maximum effective diameter of a surface of the L1n lens on the image side is denoted by dL1nh. For example, FIG. 2 illustrates the center thickness dL1n and the thickness dL1nh. By not causing a corresponding value of Conditional Expression (28) to be less than or equal to its lower limit value, an advantage of correcting the chromatic aberration is achieved. By not causing the corresponding value of Conditional Expression (28) to be greater than or equal to its upper limit value, a decrease in formability of the L1n lens can be suppressed. Thus, an advantage in manufacturing is achieved. In addition, by not causing the corresponding value of Conditional Expression (28) to be greater than or equal to its upper limit value, an increase in a volume of the L1n lens can be suppressed. Thus, an advantage of weight reduction is achieved.

[00055]$\begin{array}{cc}1.1<\mathrm{dL}1\mathrm{nh}/\mathrm{dL}1n<10& \left(28\right)\end{array}$

[0167] In order to obtain more favorable characteristics, the lower limit value of Conditional Expression (28) is more preferably 1.2, further preferably 1.3, further preferably 1.35, and further preferably 1.4. In order to obtain more favorable characteristics, the upper limit value of Conditional Expression (28) is more preferably 5, further preferably 4, further preferably 3.5, and further preferably 3.

[0168] In a configuration in which the L2 nm lens is disposed closer to the image side than the L1n lens, the variable magnification optical system preferably satisfies Conditional Expression (29) below. Here, a specific gravity of the L2 nm lens is denoted by pL2 nm. By not causing a corresponding value of Conditional Expression (29) to be less than or equal to its lower limit value, it is facilitated to use a material that is easily obtainable. By not causing the corresponding value of Conditional Expression (29) to be greater than or equal to its upper limit value, an advantage of weight reduction of the optical system is achieved.

[00056]$\begin{array}{cc}0.75<L2\mathrm{nm}<3& \left(29\right)\end{array}$

[0169] In order to obtain more favorable characteristics, the lower limit value of Conditional Expression (29) is more preferably 0.8, further preferably 0.82, further preferably 0.84, further preferably 0.86, further preferably 0.88, further preferably 0.9, and further preferably 0.92. In order to obtain more favorable characteristics, the upper limit value of Conditional Expression (29) is more preferably 2.8, further preferably 2.6, further preferably 2.4, further preferably 2.2, further preferably 2, further preferably 1.8, and further preferably 1.6.

[0170] In a configuration in which the L2 nm lens is disposed closer to the image side than the L1n lens, and the L2 nm lens is a lens consisting of only resin, the variable magnification optical system preferably satisfies Conditional Expression (30) below. Here, a center thickness of the L2 nm lens is denoted by dL2 nm. A thickness of the L2 nm lens in a direction parallel to the optical axis Z at the position of the maximum effective diameter of a surface of the L2 nm lens on the image side is denoted by dL2nmh. By not causing a corresponding value of Conditional Expression (30) to be less than or equal to its lower limit value, an advantage of correcting the chromatic aberration is achieved. By not causing the corresponding value of Conditional Expression (30) to be greater than or equal to its upper limit value, a decrease in formability of the L2 nm lens can be suppressed. Thus, an advantage in manufacturing is achieved. In addition, by not causing the corresponding value of Conditional Expression (30) to be greater than or equal to its upper limit value, an increase in a volume of the L2 nm lens can be suppressed. Thus, an advantage of weight reduction is achieved.

[00057]$\begin{array}{cc}1.1<\mathrm{dL}2\mathrm{nm}h/\mathrm{dL}2\mathrm{nm}<10& \left(30\right)\end{array}$

[0171] In order to obtain more favorable characteristics, the lower limit value of Conditional Expression (30) is more preferably 1.13, further preferably 1.16, further preferably 1.18, and further preferably 1.2. In order to obtain more favorable characteristics, the upper limit value of Conditional Expression (30) is more preferably 5, further preferably 4, further preferably 3, and further preferably 2.5.

[0172] In a configuration in which the first lens group G1 includes the L1nm lens, the variable magnification optical system preferably satisfies Conditional Expression (31) below. Here, a focal length of the L1nm lens is denoted by fL1nm. By not causing a corresponding value of Conditional Expression (31) to be less than or equal to its lower limit value, the negative refractive power of the L1nm lens is not excessively decreased. Thus, a light quantity in an image edge part at the wide angle end can be secured without increasing the diameter of the L1nm lens. Accordingly, an advantage of size reduction is achieved. By not causing the corresponding value of Conditional Expression (31) to be greater than or equal to its upper limit value, the negative refractive power of the L1nm lens is not excessively increased. Thus, an advantage of correcting the field curvature and the distortion at the wide angle end is achieved.

[00058]$\begin{array}{cc}0.05<\mathrm{fw}/.Math.\mathrm{fL}1\mathrm{nm}.Math.<2& \left(31\right)\end{array}$

[0173] In order to obtain more favorable characteristics, the lower limit value of Conditional Expression (31) is more preferably 0.1, further preferably 0.15, further preferably 0.2, and further preferably 0.27. In order to obtain more favorable characteristics, the upper limit value of Conditional Expression (31) is more preferably 1.5, further preferably 1.1, further preferably 0.7, and further preferably 0.55.

[0174] In a configuration in which the variable magnification optical system includes the focusing lens group and the Lr lens disposed closer to the image side than the focusing lens group, the variable magnification optical system preferably satisfies Conditional Expression (32) below. Here, a specific gravity of the Lr lens is denoted by Lr. By not causing a corresponding value of Conditional Expression (32) to be less than or equal to its lower limit value, it is facilitated to use a material that is easily obtainable. By not causing the corresponding value of Conditional Expression (32) to be greater than or equal to its upper limit value, an advantage of weight reduction of the optical system is achieved.

[00059]$\begin{array}{cc}0.75<\mathrm{Lr}<3& \left(32\right)\end{array}$

[0175] In order to obtain more favorable characteristics, the lower limit value of Conditional Expression (32) is more preferably 0.8, further preferably 0.82, further preferably 0.84, further preferably 0.86, further preferably 0.88, further preferably 0.9, and further preferably 0.92. In order to obtain more favorable characteristics, the upper limit value of Conditional Expression (32) is more preferably 2.8, further preferably 2.6, further preferably 2.4, further preferably 2.2, further preferably 2, further preferably 1.8, and further preferably 1.6.

[0176] In a configuration in which the first lens group G1 includes the L1nm lens, the variable magnification optical system preferably satisfies Conditional Expression (33) below. Here, a center thickness of the L1nm lens is denoted by dL1nm. A thickness of the L1nm lens in a direction parallel to the optical axis Z at the position of the maximum effective diameter of the surface of the L1nm lens on the image side is denoted by dL1nmh. For example, FIG. 2 illustrates the center thickness dL1nm and the thickness dL1nmh. By not causing a corresponding value of Conditional Expression (33) to be less than or equal to its lower limit value, an advantage of suppressing the distortion at the wide angle end is achieved. By not causing the corresponding value of Conditional Expression (33) to be greater than or equal to its upper limit value, the center thickness of the L1nm lens is not excessively decreased. Thus, an advantage of securing strength of the L1nm lens is achieved.

[00060]$\begin{array}{cc}2<\mathrm{dL}1\mathrm{nm}h/\mathrm{dL}1\mathrm{nm}<12& \left(33\right)\end{array}$

[0177] In order to obtain more favorable characteristics, the lower limit value of Conditional Expression (33) is more preferably 3, further preferably 4, further preferably 5, and further preferably 5.5. In order to obtain more favorable characteristics, the upper limit value of Conditional Expression (33) is more preferably 10, further preferably 9, further preferably 8, and further preferably 7.5.

[0178] The above preferable configurations and available configurations can be combined with each other in any manner without inconsistency and are preferably employed appropriately selectively in accordance with required specifications.

[0179] For example, a preferable aspect of the variable magnification optical system according to the present disclosure consists of, in order from the object side to the image side, the first lens group G1 having a negative refractive power, the second lens group G2 having a positive refractive power, and the subsequent group GR including one or more lens groups, in which during changing the magnification, the first lens group G1 moves, and spacings between all adjacent lens groups change, one lens group included in the subsequent group GR is a focusing lens group that moves along the optical axis Z the during focusing, and Conditional Expressions (1), (2), (3), (4), and (5) are satisfied.

[0180] Next, examples of the variable magnification optical system according to the present disclosure will be described with reference to the drawings. Reference numerals provided to each lens and each group in a cross-sectional view of each example are independently used for each example in order to avoid complication of description and illustration caused by an increase in the number of digits of the reference numerals. Accordingly, even in a case where a common reference numeral is provided in the drawings of different examples, the common reference numeral does not necessarily indicate a common configuration.

Example 1

[0181] A configuration and a moving path of the variable magnification optical system of Example 1 are illustrated in FIG. 1, and its illustration method is described above. Thus, duplicate descriptions will be partially omitted here. The variable magnification optical system of Example 1 consists of, in order from the object side to the image side, the first lens group G1 having a positive refractive power, the second lens group G2 having a negative refractive power, and the third lens group G3 having a positive refractive power. The subsequent group GR consists of the third lens group G3. The first lens group G1 consists of four lenses including the lenses L11 to L14 in order from the object side to the image side. The second lens group G2 consists of the lens L21, the aperture stop St, and the lenses L22 and L23 in order from the object side to the image side. The third lens group G3 consists of one lens that is the lens L31. The lens L12 is a compound aspherical lens.

[0182] During changing the magnification from the wide angle end to the telephoto end, all lens groups move along the optical axis Z by changing their spacings with respect to their adjacent lens groups. The focusing lens group consists of the third lens group G3. During the focusing from the infinite distance object to the nearest object, the third lens group G3 moves to the object side, and other lens groups are fixed with respect to the image plane Sim. The vibration-proof group consists of the lens L21.

[0183] For the variable magnification optical system of Example 1, basic lens data is shown in Table 1, specifications and variable surface spacings are shown in Table 2, and aspherical coefficients are shown in Table 3.

[0184] The table of the basic lens data is described as follows. A column of Sn shows surface numbers in a case where the number is increased by one at a time toward the image side from the surface closest to the object side as a first surface. A column of R shows a curvature radius of each surface. A column of D shows a surface spacing on the optical axis between each surface and its adjacent surface on the image side. A column of Nd shows a refractive index of each lens with respect to the d line. A column of vd shows an Abbe number of each lens based on the d line. A column of g, F shows a partial dispersion ratio of each constituent between a g line and an F line. A column of ED shows an effective diameter of each surface. A column of NG1L+0.01vG1L shows the corresponding value of Conditional Expression (4) for each lens. The columns of ED and NG1L+0.01vG1L show values for only relevant surfaces and lenses.

[0185] In a case where refractive indexes of a lens with respect to the g line, the F line, and a C line are denoted by Ng, NF, and NC, respectively, and a partial dispersion ratio of the lens between the g line and the F line is denoted by g, F, g, F is defined as the following expression.

[00061]$g,F=\left(\mathrm{Ng}-\mathrm{NF}\right)/\left(\mathrm{NF}-\mathrm{NC}\right)$

[0186] The terms d line, C line, F line, and g line described in the present specification mean bright lines. A wavelength of the d line is 587.56 nanometers (nm). A wavelength of the C line is 656.27 nanometers (nm). A wavelength of the F line is 486.13 nanometers (nm). A wavelength of the g line is 435.84 nanometers (nm).

[0187] In the table of the basic lens data, a sign of the curvature radius of the surface having a convex shape toward the object side is positive, and a sign of the curvature radius of the surface having a convex shape toward the image side is negative. In Table 1, a field of the surface number of the surface corresponding to the aperture stop St has the surface number and a text (St). A value in the lowermost field of the column of D in the table is a spacing between a surface closest to the image side in the table and the image plane Sim. A symbol DD[ ] is used for the variable surface spacings during changing the magnification. A surface number on the object side of the spacing is provided inside [ ] and is described in the column of the surface spacings.

[0188] Table 2 shows a magnification ratio Zr, a focal length f, a back focus Bf, an open F-number FNo., a maximum full angle of view 2, and variable surface spacings based on the d line. In a case where the variable magnification optical system is a zoom lens, the magnification ratio is synonymous with a zoom magnification. In fields of 2, [] indicates degree units. In Table 2, each value in the wide angle end state, a middle focal length state, and the telephoto end state is shown in columns denoted by Wide, Middle, and Tele, respectively.

[0189] In the basic lens data, surface numbers of aspherical surfaces are marked with *, and values of paraxial curvature radiuses are described in fields of the curvature radiuses of the aspherical surfaces. In Table 3, the column of Sn shows the surface numbers of the aspherical surfaces, and columns of KA and Am show numerical values of the aspherical coefficients for each aspherical surface. Here, m of Am is an integer greater than or equal to 3 and varies depending on the surface. For example, for the fifth surface of Example 1, m=4, 6, 8, and 10 is established. In the numerical values of the aspherical coefficients in Table 3, En (n: integer) means 10+n. KA and Am are aspherical coefficients in an aspheric equation represented by the following expression.

[00062]$\mathrm{Zd}=C{h}^2/\left\{1+{\left(1-\mathrm{KA}{C}^2{h}^2\right)}^{1/2}\right\}+.Math.\mathrm{Am}{h}^m$ [0190] where [0191] Zd: a depth of an aspherical surface (a length of a perpendicular line drawn from a point on the aspherical surface having a height h to a plane that is in contact with an aspherical surface apex and that is perpendicular to the optical axis Z) [0192] h: a height (a distance from the optical axis Z to the lens surface) [0193] C: a reciprocal of the paraxial curvature radius [0194] KA and Am: aspherical coefficients [0195] in the aspheric equation means a sum total with respect to m.

[0196] In the data of each table, a degree unit is used for angles, and a millimeter unit is used for lengths. However, since the optical system can also be proportionally enlarged or proportionally reduced to be used, other appropriate units can also be used. In addition, numerical values rounded to predetermined digits are described in each table shown below.

TABLE-US-00001 TABLE 1 Example 1 NG1L + Sn R D Nd d g, F ED 0.01 G1L 1 225.6446 3.0000 1.48749 70.24 0.53007 2.18989 2 204.7120 0.0500 3 156.7462 1.0001 1.75500 52.32 0.54757 2.27820 4 13.1971 0.1000 1.51876 54.04 0.55927 *5 12.4255 6.1714 22.74 *6 88.0876 0.6231 1.53409 55.87 0.55858 22.43 2.09279 *7 97.9671 3.2678 21.56 8 26.5916 2.5000 1.80518 25.42 0.61616 2.05938 9 78.8988 DD[9] 10 34.2076 2.5000 1.75500 52.32 0.54757 11 43.7324 2.3426 12 (St) 0.0500 13 16.4283 1.5639 1.43875 94.66 0.53402 14 52.2578 1.8051 15 32.2346 0.4954 1.84666 23.78 0.62054 16 37.4243 DD[16] *17 16.5693 2.6591 1.53409 55.87 0.55858 *18 11.1108 DD[18]

TABLE-US-00002 TABLE 2 Example 1 Wide Middle Tele Zr 1.0 1.4 1.8 f 14.65 20.72 26.38 Bf 20.66 23.74 29.00 FNo. 5.15 5.97 6.59 2[] 97.4 68.2 54.6 DD[9] 23.87 10.70 2.52 DD[16] 8.81 12.75 12.76 DD[18] 20.66 23.74 29.00

TABLE-US-00003 TABLE 3 Example 1 Sn 5 6 7 KA 1.0000000E+00 1.0000000E+00 1.0000000E+00 A4 4.0349758E05 8.5452165E05 6.0208060E05 A6 8.4465208E08 3.7294703E06 3.6012803E06 A8 3.3396531E09 2.6378718E08 2.4922830E08 A10 2.2208075E11 6.3253528E11 4.9413143E11 Sn 17 18 KA 1.0000000E+00 1.0000000E+00 A4 2.1555952E04 5.6523145E05 A6 1.3739246E06 4.8666335E07 A8 2.0564140E07 6.9913046E08 A10 6.9480074E10 1.6107487E11

[0197] FIG. 4 illustrates each aberration diagram of the variable magnification optical system of Example 1 in the state where the infinite distance object is focused on. In FIG. 4, a spherical aberration, an astigmatism, a distortion, and a lateral chromatic aberration are illustrated in this order from the left. In FIG. 4, aberrations in the wide angle end state are illustrated in an upper part denoted by Wide, aberrations in the middle focal length state are illustrated in a middle part denoted by Middle, and aberrations in the telephoto end state are illustrated in a lower part denoted by Tele. In the spherical aberration diagram, aberrations on the d line, the C line, and the F line are illustrated by a solid line, a long broken line, and a short broken line, respectively. In the astigmatism diagram, an aberration on the d line in a sagittal direction is illustrated by a solid line, and an aberration on the d line in a tangential direction is illustrated by a short broken line. In the distortion diagram, an aberration on the d line is illustrated by a solid line. In the lateral chromatic aberration diagram, aberrations on the C line and the F line are illustrated by a long broken line and a short broken line, respectively. In the spherical aberration diagram, the value of the open F-number is shown after FNo.=. In other aberration diagrams, the value of the maximum half angle of view is shown after =.

[0198] Symbols, meanings, description methods, and illustration methods of each data related to Example 1 are basically the same for the following examples unless otherwise specified. Thus, duplicate descriptions will be omitted below.

Example 2

[0199] A configuration and a moving path of a variable magnification optical system of Example 2 are illustrated in FIG. 5. The variable magnification optical system of Example 2 consists of, in order from the object side to the image side, the first lens group G1 having a positive refractive power, the second lens group G2 having a negative refractive power, and the third lens group G3 having a positive refractive power. The subsequent group GR consists of the third lens group G3. The first lens group G1 consists of three lenses including the lenses L11 to L13 in order from the object side to the image side. The second lens group G2 consists of the lens L21, the aperture stop St, and lenses L22 to L24 in order from the object side to the image side. The third lens group G3 consists of one lens that is the lens L31. The lens L11 is a compound aspherical lens.

[0200] During changing the magnification from the wide angle end to the telephoto end, all lens groups move along the optical axis Z by changing their spacings with respect to their adjacent lens groups. The focusing lens group consists of the third lens group G3. During the focusing from the infinite distance object to the nearest object, the third lens group G3 moves to the object side, and other lens groups are fixed with respect to the image plane Sim. The vibration-proof group consists of the lens L21.

[0201] For the variable magnification optical system of Example 2, basic lens data is shown in Table 4, specifications and variable surface spacings are shown in Table 5, aspherical coefficients are shown in Table 6, and each aberration diagram is illustrated in FIG. 6.

TABLE-US-00004 TABLE 4 Example 2 NG1L + Sn R D Nd d g, F ED 0.01 G1L 1 63.5646 0.9998 1.75500 52.32 0.54757 2.27820 2 13.6046 0.1000 1.51876 54.04 0.55927 *3 12.8339 8.0407 23.00 *4 57.4271 0.6134 1.53409 55.87 0.55858 22.64 2.09279 *5 86.1806 2.1969 21.42 6 29.0825 2.4530 1.80518 25.42 0.61616 2.05938 7 81.6358 DD[7] 8 21.3209 2.5002 1.64000 60.08 0.53704 9 307.5563 4.9665 10 (St) 2.2159 11 23.5669 2.1243 1.43875 94.66 0.53402 12 42.1695 0.0501 13 22.2438 1.5035 2.00330 28.27 0.59802 14 54.7310 0.1552 15 26.3701 0.4989 1.84666 23.78 0.62054 16 13.7741 DD[16] *17 13.6908 3.0447 1.53409 55.87 0.55858 *18 10.0899 DD[18]

TABLE-US-00005 TABLE 5 Example 2 Wide Middle Tele Zr 1.0 1.4 1.8 f 14.15 20.01 25.47 Bf 18.97 24.67 27.98 FNo. 5.16 5.91 6.73 2[] 100.6 73.6 58.6 DD[7] 20.11 7.25 1.50 DD[16] 7.51 7.64 11.34 DD[18] 18.97 24.67 27.98

TABLE-US-00006 TABLE 6 Example 2 Sn 3 4 5 KA 1.0000000E+00 1.0000000E+00 1.0000000E+00 A4 1.4144228E06 7.1608890E05 8.4320691E05 A6 4.0237638E07 3.1754587E06 3.9763276E06 A8 1.4771692E09 2.0972651E08 2.7712795E08 A10 2.4999494E11 6.3029066E11 6.9669402E11 Sn 17 18 KA 1.0000000E+00 1.0000000E+00 A4 3.0312463E04 1.1704879E04 A6 3.6724154E07 1.3119162E06 A8 1.1031744E08 3.9493446E08 A10 1.0668581E09 6.9261491E10

Example 3

[0202] A configuration and a moving path of a variable magnification optical system of Example 3 are illustrated in FIG. 7. The variable magnification optical system of Example 3 consists of, in order from the object side to the image side, the first lens group G1 having a positive refractive power, the second lens group G2 having a negative refractive power, and the third lens group G3 having a negative refractive power. The subsequent group GR consists of the third lens group G3. The first lens group G1 consists of three lenses including the lenses L11 to L13 in order from the object side to the image side. The second lens group G2 consists of the lens L21, the aperture stop St, and lenses L22 to L25 in order from the object side to the image side. The third lens group G3 consists of one lens that is the lens L31.

[0203] During changing the magnification from the wide angle end to the telephoto end, all lens groups move along the optical axis Z by changing their spacings with respect to their adjacent lens groups. The focusing lens group consists of the third lens group G3. During the focusing from the infinite distance object to the nearest object, the third lens group G3 moves to the image side, and other lens groups are fixed with respect to the image plane Sim. The vibration-proof group consists of the lens L21.

[0204] For the variable magnification optical system of Example 3, basic lens data is shown in Table 7, specifications and variable surface spacings are shown in Table 8, aspherical coefficients are shown in Table 9, and each aberration diagram is illustrated in FIG. 8.

TABLE-US-00007 TABLE 7 Example 3 NG1L + Sn R D Nd d g, F ED 0.01 G1L 1 28.7557 0.9998 1.48749 70.24 0.53007 2.18989 2 14.9180 5.1212 23.81 *3 67.5307 1.5924 1.54436 56.03 0.56178 23.45 2.10466 *4 10.6538 6.3817 18.05 *5 65.7745 3.5923 1.66121 20.35 0.66162 1.86471 *6 44.6192 DD[6] *7 72.8305 1.4005 1.54436 56.03 0.56178 *8 13.7318 0.0498 9 (St) 5.0068 10 7.7442 1.7598 1.43875 94.66 0.53402 11 312.6557 0.4500 1.76385 48.49 0.55898 12 10.5120 4.8210 13 17.5355 4.7602 1.52841 76.45 0.53954 14 8.7599 0.7502 1.72916 54.68 0.54451 *15 13.3586 DD[15] 16 81.3638 0.7498 1.81600 46.62 0.55682 17 14.5664 DD[17]

TABLE-US-00008 TABLE 8 Example 3 Wide Middle Tele Zr 1.0 1.4 1.7 f 13.40 18.95 22.78 Bf 22.56 24.68 26.09 FNo. 5.12 5.59 5.93 2[] 102.8 73.8 62.2 DD[6] 22.21 9.53 4.35 DD[15] 1.46 3.01 4.01 DD[17] 22.56 24.68 26.09

TABLE-US-00009 TABLE 9 Example 3 Sn 3 4 5 6 KA 1.0000000E+00 1.0000000E+00 1.0000000E+00 1.0000000E+00 A4 4.3733536E05 4.8505410E06 1.4179706E04 1.2747392E04 A6 9.9772455E07 1.2096654E06 1.2463577E06 1.0039121E06 A8 4.9400215E09 2.8986034E08 1.6206553E08 1.0187453E08 A10 0.0000000E+00 1.6417486E10 1.9092893E10 1.7909059E11 Sn 7 8 15 KA 1.0000000E+00 1.0000000E+00 1.0000000E+00 A4 3.5017847E04 2.4506721E04 1.1469235E04 A6 8.7598411E06 9.2559332E06 5.8915653E07 A8 1.9675551E07 2.9448744E07 1.1854134E08 A10 2.7924194E08 2.5936909E08 1.9541000E10

Example 4

[0205] A configuration and a moving path of a variable magnification optical system of Example 4 are illustrated in FIG. 9. The variable magnification optical system of Example 4 consists of, in order from the object side to the image side, the first lens group G1 having a positive refractive power, the second lens group G2 having a negative refractive power, and the third lens group G3 having a negative refractive power. The subsequent group GR consists of the third lens group G3. The first lens group G1 consists of three lenses including the lenses L11 to L13 in order from the object side to the image side. The second lens group G2 consists of the lens L21, the aperture stop St, and lenses L22 to L26 in order from the object side to the image side. The third lens group G3 consists of one lens that is the lens L31.

[0206] During changing the magnification from the wide angle end to the telephoto end, all lens groups move along the optical axis Z by changing their spacings with respect to their adjacent lens groups. The focusing lens group consists of the third lens group G3. During the focusing from the infinite distance object to the nearest object, the third lens group G3 moves to the image side, and other lens groups are fixed with respect to the image plane Sim. The vibration-proof group consists of the lens L21.

[0207] For the variable magnification optical system of Example 4, basic lens data is shown in Table 10, specifications and variable surface spacings are shown in Table 11, aspherical coefficients are shown in Table 12, and each aberration diagram is illustrated in FIG. 10.

TABLE-US-00010 TABLE 10 Example 4 NG1L + Sn R D Nd d g, F ED 0.01 G1L 1 39.5006 0.9998 1.48749 70.24 0.53007 2.18989 2 15.5248 4.3677 24.16 *3 111.6829 2.0343 1.54436 56.03 0.56178 23.90 2.10466 *4 9.7455 6.8303 17.42 *5 897.0953 2.9563 1.66121 20.35 0.66162 1.86471 *6 98.0427 DD[6] *7 49.7201 2.6334 1.54436 56.03 0.56178 *8 12.9781 7.4724 9 (St) 0.9510 10 9.4687 3.8322 1.43875 94.66 0.53402 11 9.7447 0.4939 1.88300 39.22 0.57288 12 16.6413 1.6938 13 21.5045 2.6096 1.60342 38.03 0.58356 14 9.5635 0.0501 15 81.4308 2.7263 1.52841 76.45 0.53954 16 7.6117 0.4998 1.72916 54.68 0.54451 *17 34.1103 DD[17] 18 478.4077 0.4947 1.81600 46.62 0.55682 19 16.0067 DD[19]

TABLE-US-00011 TABLE 11 Example 4 Wide Middle Tele Zr 1.0 1.4 1.9 f 13.39 18.94 25.45 Bf 25.77 28.05 28.90 FNo. 5.15 5.87 6.59 2[] 102.6 74.4 56.6 DD[6] 20.95 9.31 1.17 DD[17] 1.26 3.07 5.71 DD[19] 25.77 28.05 28.90

TABLE-US-00012 TABLE 12 Example 4 Sn 3 4 5 6 KA 1.0000000E+00 1.0000000E+00 1.0000000E+00 1.0000000E+00 A4 1.1262202E04 3.1126466E05 2.4898899E04 2.2590078E04 A6 1.1520767E06 6.6982695E07 1.3418263E06 1.0207478E06 A8 4.7554445E09 3.5239180E08 1.6631813E08 1.1625818E08 A10 0.0000000E+00 1.3703850E10 1.9110746E10 2.5814616E11 Sn 7 8 17 KA 1.0000000E+00 1.0000000E+00 1.0000000E+00 A4 2.9302824E04 2.0076066E04 8.6766715E05 A6 3.4185996E06 1.9502984E06 5.9211452E07 A8 1.1454678E08 1.1606462E08 1.1963056E08 A10 3.5670603E09 1.7431155E09 1.9541000E10

Example 5

[0208] A configuration and a moving path of a variable magnification optical system of Example 5 are illustrated in FIG. 11. The variable magnification optical system of Example 5 consists of, in order from the object side to the image side, the first lens group G1 having a negative refractive power, the second lens group G2 having a positive refractive power, the third lens group G3 having a positive refractive power, and a fourth lens group G4 having a negative refractive power. The subsequent group GR consists of two lens groups including the third lens group G3 and the fourth lens group G4. The first lens group G1 consists of three lenses including the lenses L11 to L13 in order from the object side to the image side. The second lens group G2 consists of three lenses including the lenses L21 to L23 and the aperture stop St in order from the object side to the image side. The third lens group G3 consists of one lens that is the lens L31. The fourth lens group G4 consists of one lens that is a lens L41.

[0209] During changing the magnification from the wide angle end to the telephoto end, all lens groups move along the optical axis Z by changing their spacings with respect to their adjacent lens groups. The focusing lens group consists of the third lens group G3. During the focusing from the infinite distance object to the nearest object, the third lens group G3 moves to the object side, and other lens groups are fixed with respect to the image plane Sim. The vibration-proof group consists of three lenses including the lenses L21 to L23.

[0210] For the variable magnification optical system of Example 5, basic lens data is shown in Table 13, specifications and variable surface spacings are shown in Table 14, aspherical coefficients are shown in Table 15, and each aberration diagram is illustrated in FIG. 12.

TABLE-US-00013 TABLE 13 Example 5 NG1L + Sn R D Nd d g, F ED 0.01 G1L 1 41.9272 0.9998 1.75500 52.32 0.54757 2.27820 2 15.0602 7.0210 25.70 *3 254.7104 2.5000 1.54436 56.03 0.56178 25.35 2.10466 *4 13.8159 1.7827 21.47 5 21.8371 2.3090 1.95906 17.47 0.65993 2.13376 6 33.4734 DD[6] *7 10.3948 1.6036 1.66121 20.35 0.66162 *8 18.2077 1.2913 9 34.1509 0.4938 2.00272 19.32 0.64514 10 11.8031 0.3508 11 18.4388 2.0135 1.72916 54.68 0.54451 12 29.0621 3.1669 13 (St) DD[13] 14 77.0127 3.2501 1.43875 94.66 0.53402 15 15.6899 DD[15] *16 25.2836 3.0000 1.54436 56.03 0.56178 *17 264.3575 DD[17]

TABLE-US-00014 TABLE 14 Example 5 Wide Middle Tele Zr 1.0 1.4 2.1 f 12.36 17.48 25.95 Bf 17.13 21.69 22.58 FNo. 5.11 5.76 6.72 2[] 107.0 79.6 55.2 DD[6] 25.21 13.22 3.05 DD[13] 14.14 11.77 9.97 DD[15] 1.36 3.77 10.55 DD[17] 17.13 21.69 22.58

TABLE-US-00015 TABLE 15 Example 5 Sn 3 4 16 17 KA 1.0000000E+00 1.0000000E+00 1.0000000E+00 1.0000000E+00 A4 3.6033378E05 6.6795711E06 3.9122941E05 1.1591373E04 A6 2.1999331E07 3.6427945E07 1.0989111E06 6.0773125E07 A8 4.8822084E10 3.2165712E10 3.8622431E08 1.3493986E08 A10 1.0589209E12 5.4220809E12 4.6690187E10 1.0966094E10 A12 1.4071535E15 3.9724374E15 2.4619952E12 4.8517534E13 Sn 7 8 KA 1.0000000E+00 1.0000000E+00 A4 1.4050995E05 5.6135431E05 A6 7.4115657E07 4.2733355E07 A8 1.7581017E08 1.2037813E08 A10 8.7649421E10 3.1110738E10

Example 6

[0211] A configuration and a moving path of a variable magnification optical system of Example 6 are illustrated in FIG. 13. The variable magnification optical system of Example 6 consists of, in order from the object side to the image side, the first lens group G1 having a negative refractive power, the second lens group G2 having a positive refractive power, the third lens group G3 having a positive refractive power, and the fourth lens group G4 having a negative refractive power. The subsequent group GR consists of two lens groups including the third lens group G3 and the fourth lens group G4. The first lens group G1 consists of four lenses including the lenses L11 to L14 in order from the object side to the image side. The second lens group G2 consists of three lenses including the lenses L21 to L23 and the aperture stop St in order from the object side to the image side. The third lens group G3 consists of one lens that is the lens L31. The fourth lens group G4 consists of one lens that is the lens L41. The lens L12 is a compound aspherical lens.

[0212] During changing the magnification from the wide angle end to the telephoto end, the fourth lens group G4 is fixed with respect to the image plane Sim, and other lens groups move along the optical axis Z by changing their spacings with respect to their adjacent lens groups. The focusing lens group consists of the third lens group G3. During the focusing from the infinite distance object to the nearest object, the third lens group G3 moves to the object side, and other lens groups are fixed with respect to the image plane Sim. The vibration-proof group consists of three lenses including the lenses L21 to L23. In FIG. 13, a lens group that is fixed with respect to the image plane Sim during changing the magnification is illustrated by a straight dotted line in an up-down direction instead of a solid line arrow of the moving path. This illustration method related to the lens group that is fixed with respect to the image plane Sim during changing the magnification also applies to the following examples.

[0213] For the variable magnification optical system of Example 6, basic lens data is shown in Table 16, specifications and variable surface spacings are shown in Table 17, aspherical coefficients are shown in Table 18, and each aberration diagram is illustrated in FIG. 14.

TABLE-US-00016 TABLE 16 Example 6 NG1L + Sn R D Nd d g, F ED 0.01 G1L 1 30.9515 0.9998 1.65160 58.54 0.53901 2.23700 2 15.0603 4.2253 26.31 3 24.0499 0.6490 1.64000 60.08 0.53704 2.24080 4 12.1907 0.1000 1.51876 54.04 0.55927 *5 12.2218 6.1419 *6 78.9960 1.1189 1.54436 56.03 0.56178 21.05 2.10466 *7 16.8044 0.7480 20.03 8 27.0672 1.8998 1.95906 17.47 0.65993 2.13376 9 43.5278 DD[9] *10 9.6945 2.2560 1.66121 20.35 0.66162 *11 20.9241 0.2602 12 57.4672 1.4169 2.00272 19.32 0.64514 13 11.3095 0.2376 14 16.7101 1.5083 1.72916 54.68 0.54451 15 24.3191 2.3063 16 (St) DD[16] 17 125.5293 3.2095 1.43875 94.66 0.53402 18 15.7059 DD[18] *19 21.1372 3.0000 1.54436 56.03 0.56178 *20 52.2299 17.0300

TABLE-US-00017 TABLE 17 Example 6 Wide Middle Tele Zr 1.0 1.4 2.2 f 11.38 16.09 25.03 Bf 17.03 17.03 17.03 FNo. 5.11 5.86 6.96 2 [] 111.0 82.2 55.4 DD[9] 21.67 12.01 1.90 DD[16] 11.65 14.69 9.57 DD[18] 1.29 5.31 15.99

TABLE-US-00018 TABLE 18 Example 6 Sn 5 6 7 KA 1.0000000E+00 1.0000000E+00 1.0000000E+00 A4 1.5349362E05 7.9562570E06 5.1201558E05 A6 2.1763740E07 1.9020094E07 3.8333535E07 A8 1.4083218E10 3.2570118E09 1.5249139E09 A10 8.7175931E13 3.5023109E11 1.2541753E11 A12 1.7117746E14 1.7793642E13 4.2603422E14 Sn 10 11 KA 1.0000000E+00 1.0000000E+00 A4 2.0693933E05 9.3486498E05 A6 2.0028603E07 7.2501884E07 A8 2.9531644E08 4.8399286E08 A10 2.1111292E11 3.5882195E09 Sn 19 20 KA 1.0000000E+00 1.0000000E+00 A4 3.3136192E05 1.1658830E04 A6 7.5953225E07 1.3146276E07 A8 3.5954715E08 9.2076502E09 A10 5.4638274E10 1.2984352E10 A12 3.4392209E12 7.2127433E13

Example 7

[0214] A configuration and a moving path of a variable magnification optical system of Example 7 are illustrated in FIG. 15. The variable magnification optical system of Example 7 consists of, in order from the object side to the image side, the first lens group G1 having a negative refractive power, the second lens group G2 having a positive refractive power, the third lens group G3 having a positive refractive power, and the fourth lens group G4 having a negative refractive power. The subsequent group GR consists of two lens groups including the third lens group G3 and the fourth lens group G4. The first lens group G1 consists of four lenses including the lenses L11 to L14 in order from the object side to the image side. The second lens group G2 consists of three lenses including the lenses L21 to L23 and the aperture stop St in order from the object side to the image side. The third lens group G3 consists of two lenses including lenses L31 and L32 in order from the object side to the image side. The fourth lens group G4 consists of one lens that is the lens L41.

[0215] During changing the magnification from the wide angle end to the telephoto end, all lens groups move along the optical axis Z by changing their spacings with respect to their adjacent lens groups. The focusing lens group consists of the third lens group G3. During the focusing from the infinite distance object to the nearest object, the third lens group G3 moves to the object side, and other lens groups are fixed with respect to the image plane Sim. The vibration-proof group consists of three lenses including the lenses L21 to L23.

[0216] For the variable magnification optical system of Example 7, basic lens data is shown in Table 19, specifications and variable surface spacings are shown in Table 20, aspherical coefficients are shown in Table 21, and each aberration diagram is illustrated in FIG. 16.

TABLE-US-00019 TABLE 19 Example 7 NG1L + Sn R D Nd d g, F ED 0.01 G1L 1 28.1549 1.0074 1.65160 58.54 0.53901 2.23700 2 15.0603 4.6440 26.60 3 24.5707 0.6467 1.64000 60.08 0.53704 2.24080 4 11.7364 6.5085 *5 91.3532 0.8749 1.54436 56.03 0.56178 20.75 2.10466 *6 21.3895 0.6649 20.04 7 42.9233 1.7135 1.95906 17.47 0.65993 2.13376 8 89.9532 DD[8] *9 9.5846 1.7024 1.66121 20.35 0.66162 *10 18.0273 0.1888 11 29.5851 0.7465 2.00272 19.32 0.64514 12 10.7466 0.3099 13 18.7253 1.7718 1.72916 54.68 0.54451 14 26.1858 0.3979 15 (St) DD[15] 16 225.8891 3.2600 1.49700 81.54 0.53748 17 9.6927 0.7499 1.90525 35.04 0.58486 18 12.1780 DD[18] *19 20.8224 2.7458 1.54436 56.03 0.56178 *20 62.0097 DD[20]

TABLE-US-00020 TABLE 20 Example 7 Wide Middle Tele Zr 1.0 1.4 2.3 f 11.36 16.06 26.12 Bf 17.53 21.76 18.93 FNo. 5.11 5.73 6.63 2 [] 111.6 84.8 53.4 DD[8] 23.17 12.46 0.67 DD[15] 12.70 11.40 9.84 DD[18] 1.25 3.15 14.19 DD[20] 17.53 21.76 18.93

TABLE-US-00021 TABLE 21 Example 7 Sn 5 6 19 20 KA 1.0000000E+00 1.0000000E+00 1.0000000E+00 1.0000000E+00 A4 5.9755217E06 4.4705476E05 6.9220809E05 1.4805795E04 A6 6.1678896E08 2.2801537E07 7.9362784E07 1.9672505E07 A8 2.9075639E09 7.8969626E10 3.7402804E08 9.4639577E09 A10 3.5816906E11 8.9221503E12 6.1379722E10 1.5122740E10 A12 1.8225297E13 5.3187853E14 3.9212122E12 8.6798362E13 Sn 9 10 KA 1.0000000E+00 1.0000000E+00 A4 1.6138717E05 6.2618362E05 A6 1.2522888E07 7.4092425E07 A8 3.5149200E08 2.0139856E08 A10 4.4555075E10 1.2338528E09

Example 8

[0217] A configuration and a moving path of a variable magnification optical system of Example 8 are illustrated in FIG. 17. The variable magnification optical system of Example 8 consists of, in order from the object side to the image side, the first lens group G1 having a negative refractive power, the second lens group G2 having a positive refractive power, the third lens group G3 having a positive refractive power, and the fourth lens group G4 having a negative refractive power. The subsequent group GR consists of two lens groups including the third lens group G3 and the fourth lens group G4. The first lens group G1 consists of four lenses including the lenses L11 to L14 in order from the object side to the image side. The second lens group G2 consists of three lenses including the lenses L21 to L23 and the aperture stop St in order from the object side to the image side. The third lens group G3 consists of one lens that is the lens L31. The fourth lens group G4 consists of one lens that is the lens L41.

[0218] During changing the magnification from the wide angle end to the telephoto end, the fourth lens group G4 is fixed with respect to the image plane Sim, and other lens groups move along the optical axis Z by changing their spacings with respect to their adjacent lens groups. The focusing lens group consists of the third lens group G3. During the focusing from the infinite distance object to the nearest object, the third lens group G3 moves to the object side, and other lens groups are fixed with respect to the image plane Sim. The vibration-proof group consists of three lenses including the lenses L21 to L23.

[0219] For the variable magnification optical system of Example 8, basic lens data is shown in Table 22, specifications and variable surface spacings are shown in Table 23, aspherical coefficients are shown in Table 24, and each aberration diagram is illustrated in FIG. 18.

TABLE-US-00022 TABLE 22 Example 8 NG1L + Sn R D Nd d g, F ED 0.01 G1L 1 58.0502 2.9855 1.48749 70.24 0.53007 2.18989 2 122.3975 0.0500 3 54.6086 1.0000 1.75500 52.32 0.54757 2.27820 4 11.4381 8.3925 21.02 *5 77.3072 1.1512 1.54436 56.03 0.56178 20.65 2.10466 *6 28.2014 0.5001 19.85 7 25.6954 1.9524 1.95906 17.47 0.65993 2.13376 8 42.0031 DD[8] *9 9.8684 1.7710 1.66121 20.35 0.66162 *10 13.7826 0.3581 11 30.5666 2.0501 2.00272 19.32 0.64514 12 11.7395 0.1585 13 14.7771 1.8124 1.72916 54.68 0.54451 14 30.4967 2.2790 15 (St) DD[15] 16 41.0204 2.5005 1.43875 94.66 0.53402 17 28.8036 DD[17] *18 15.8489 3.0000 1.54436 56.03 0.56178 *19 19.9697 16.7300

TABLE-US-00023 TABLE 23 Example 8 Wide Middle Tele Zr 1.0 1.4 2.3 f 11.73 16.58 26.97 Bf 16.73 16.73 16.73 FNo. 5.11 5.85 7.43 2 [] 110.0 81.0 50.2 DD[8] 20.84 10.93 1.65 DD[15] 12.49 12.43 9.86 DD[17] 1.49 7.15 19.40

TABLE-US-00024 TABLE 24 Example 8 Sn 5 6 18 19 KA 1.0000000E+00 1.0000000E+00 1.0000000E+00 1.0000000E+00 A4 2.8964777E05 6.1246923E05 3.2980077E04 3.4349034E04 A6 9.9230973E08 2.5957763E08 6.7804200E07 7.7831456E07 A8 1.0287633E10 6.1825164E10 4.0067226E08 1.5671603E08 A10 1.0082632E11 1.0949247E11 4.7546341E10 9.3739793E11 A12 8.5746587E14 1.4831158E13 2.1384872E12 1.2606162E13 Sn 9 10 KA 1.0000000E+00 1.0000000E+00 A4 2.8895245E06 7.3488641E05 A6 6.9658700E07 1.6492673E06 A8 7.0862634E08 4.9045973E08 A10 2.2426313E09 1.5099422E09

Example 9

[0220] A configuration and a moving path of a variable magnification optical system of Example 9 are illustrated in FIG. 19. The variable magnification optical system of Example 9 consists of, in order from the object side to the image side, the first lens group G1 having a negative refractive power, the second lens group G2 having a positive refractive power, the third lens group G3 having a positive refractive power, and the fourth lens group G4 having a negative refractive power. The subsequent group GR consists of two lens groups including the third lens group G3 and the fourth lens group G4. The first lens group G1 consists of three lenses including the lenses L11 to L13 in order from the object side to the image side. The second lens group G2 consists of one lens that is the lens L21. The third lens group G3 consists of the aperture stop St and five lenses including lenses L31 to L35 in order from the object side to the image side. The fourth lens group G4 consists of one lens that is the lens L41.

[0221] During changing the magnification from the wide angle end to the telephoto end, all lens groups move along the optical axis Z by changing their spacings with respect to their adjacent lens groups. The focusing lens group consists of the fourth lens group G4. During the focusing from the infinite distance object to the nearest object, the fourth lens group G4 moves to the image side, and other lens groups are fixed with respect to the image plane Sim. The vibration-proof group consists of the second lens group G2.

[0222] For the variable magnification optical system of Example 9, basic lens data is shown in Table 25, specifications and variable surface spacings are shown in Table 26, aspherical coefficients are shown in Table 27, and each aberration diagram is illustrated in FIG. 20.

TABLE-US-00025 TABLE 25 Example 9 NG1L + Sn R D Nd d g, F ED 0.01 G1L 1 51.2932 1.0002 1.48749 70.24 0.53007 2.18989 2 12.4999 4.9263 23.52 *3 45.8716 1.6767 1.54436 56.03 0.56178 23.09 2.10466 *4 10.7063 5.7315 18.61 *5 19.3149 3.2097 1.66121 20.35 0.66162 1.86471 *6 25.4331 DD[6] *7 20.4673 2.2304 1.54436 56.03 0.56178 *8 10.6539 DD[8] 9 (St) 4.9167 10 11.1434 2.9303 1.43875 94.66 0.53402 11 10.2336 0.4761 1.88300 39.22 0.57288 12 603.1516 1.7041 13 288.4823 2.0725 1.60342 38.03 0.58356 14 11.0389 0.0502 15 60.2318 2.0098 1.52841 76.45 0.53954 16 16.6380 0.4998 1.72916 54.68 0.54451 *17 37.7346 DD[17] 18 135.5969 0.4412 1.77535 50.31 0.55042 19 15.7746 DD[19]

TABLE-US-00026 TABLE 26 Example 9 Wide Middle Tele Zr 1.0 1.4 2.1 f 12.22 17.28 25.67 Bf 25.48 29.15 36.13 FNo. 5.16 5.80 6.96 2 [] 108.6 79.8 57.2 DD[6] 20.48 9.46 1.86 DD[8] 5.25 4.33 1.87 DD[17] 0.77 1.64 2.43 DD[19] 25.48 29.15 36.13

TABLE-US-00027 TABLE 27 Example 9 Sn 3 4 5 6 KA 1.0000000E+00 1.0000000E+00 1.0000000E+00 1.0000000E+00 A4 2.4609490E04 1.6579350E04 2.2817861E04 2.3758865E04 A6 1.2458317E06 6.5067691E07 7.9652574E08 4.9091030E07 A8 2.8181619E09 2.0117588E08 9.4334848E09 7.1129287E09 A10 0.0000000E+00 2.7063806E11 6.7249834E11 1.9223715E11 Sn 7 8 17 KA 1.0000000E+00 1.0000000E+00 1.0000000E+00 A4 4.1132025E04 2.5549446E04 1.4348698E04 A6 5.4718127E06 3.6337742E06 9.3304013E07 A8 2.0173520E08 2.4117375E09 2.0844378E09 A10 6.4383003E09 3.5250322E09 1.9541000E10

Example 10

[0223] A configuration and a moving path of a variable magnification optical system of Example 10 are illustrated in FIG. 21. The variable magnification optical system of Example 10 consists of, in order from the object side to the image side, the first lens group G1 having a negative refractive power, the second lens group G2 having a positive refractive power, the third lens group G3 having a negative refractive power, and the fourth lens group G4 having a positive refractive power. The subsequent group GR consists of two lens groups including the third lens group G3 and the fourth lens group G4. The first lens group G1 consists of three lenses including the lenses L11 to L13 in order from the object side to the image side. The second lens group G2 consists of the lens L21, the aperture stop St, and the lenses L22 to L25 in order from the object side to the image side. The third lens group G3 consists of one lens that is the lens L31. The fourth lens group G4 consists of one lens that is the lens L41.

[0224] During changing the magnification from the wide angle end to the telephoto end, all lens groups move along the optical axis Z by changing their spacings with respect to their adjacent lens groups. The focusing lens group consists of the third lens group G3. During the focusing from the infinite distance object to the nearest object, the third lens group G3 moves to the image side, and other lens groups are fixed with respect to the image plane Sim. The vibration-proof group consists of the lens L21.

[0225] For the variable magnification optical system of Example 10, basic lens data is shown in Table 28, specifications and variable surface spacings are shown in Table 29, aspherical coefficients are shown in Table 30, and each aberration diagram is illustrated in FIG. 22.

TABLE-US-00028 TABLE 28 Example 10 NG1L + Sn R D Nd d g, F ED 0.01 G1L 1 34.6204 0.9999 1.48749 70.24 0.53007 2.18989 2 12.5001 4.6865 22.61 *3 29.3939 1.1770 1.53409 55.87 0.55858 22.27 2.09279 *4 9.9200 8.0358 17.92 *5 26.4469 3.4807 1.66121 20.35 0.66162 1.86471 *6 29.2948 DD[6] *7 110.5349 1.6024 1.53409 55.87 0.55858 *8 16.5423 8.7802 9 (St) 1.3360 10 11.6956 3.2887 1.43875 94.66 0.53402 11 6.6643 0.4944 1.88300 39.22 0.57288 12 19.7261 2.8563 1.62004 36.26 0.58800 13 7.8036 1.6138 *14 37.7165 0.7502 1.43875 94.66 0.53402 *15 55.8885 DD[15] 16 74.2464 0.4959 1.85150 40.78 0.56958 17 14.4958 DD[17] 18 28.6513 1.4378 1.48749 70.24 0.53007 19 23.6233 DD[19]

TABLE-US-00029 TABLE 29 Example 10 Wide Middle Tele Zr 1.0 1.4 1.9 f 12.86 18.19 24.05 Bf 18.88 14.61 14.29 FNo. 5.15 6.00 6.64 2 [] 105.2 76.8 58.6 DD[6] 21.70 10.32 1.27 DD[15] 3.58 5.49 9.03 DD[17] 4.90 11.76 10.94 DD[19] 18.88 14.61 14.29

TABLE-US-00030 TABLE 30 Example 10 Sn 3 4 5 6 KA 1.0000000E+00 1.0000000E+00 1.0000000E+00 1.0000000E+00 A4 5.0921846E05 1.3240384E05 1.3351261E04 1.2424635E04 A6 4.3327815E07 5.5524520E07 9.6003628E07 4.5058342E07 A8 1.0017594E08 1.4917513E08 3.1246901E09 4.6203345E09 A10 4.4859494E11 1.2182318E10 1.0283004E10 1.0505720E11 Sn 7 8 14 15 KA 1.0000000E+00 1.0000000E+00 1.0000000E+00 1.0000000E+00 A4 2.5777300E04 2.1547724E04 2.2894507E05 2.0034505E04 A6 2.6113718E06 1.6646947E06 2.4271520E06 2.8651768E06 A8 2.5110334E08 6.2767732E08 1.1525576E07 1.1327398E07 A10 3.7004710E09 1.9842423E09 1.2049261E08 1.2568097E08

Example 11

[0226] A configuration and a moving path of a variable magnification optical system of Example 11 are illustrated in FIG. 23. The variable magnification optical system of Example 11 consists of, in order from the object side to the image side, the first lens group G1 having a negative refractive power, the second lens group G2 having a positive refractive power, the third lens group G3 having a negative refractive power, and the fourth lens group G4 having a positive refractive power. The subsequent group GR consists of two lens groups including the third lens group G3 and the fourth lens group G4. The first lens group G1 consists of three lenses including the lenses L11 to L13 in order from the object side to the image side. The second lens group G2 consists of the lens L21, the aperture stop St, and the lenses L22 to L26 in order from the object side to the image side. The third lens group G3 consists of one lens that is the lens L31. The fourth lens group G4 consists of one lens that is the lens L41.

[0227] During changing the magnification from the wide angle end to the telephoto end, all lens groups move along the optical axis Z by changing their spacings with respect to their adjacent lens groups. The focusing lens group consists of the third lens group G3. During the focusing from the infinite distance object to the nearest object, the third lens group G3 moves to the image side, and other lens groups are fixed with respect to the image plane Sim. The vibration-proof group consists of the lens L21.

[0228] For the variable magnification optical system of Example 11, basic lens data is shown in Table 31, specifications and variable surface spacings are shown in Table 32, aspherical coefficients are shown in Table 33, and each aberration diagram is illustrated in FIG. 24.

TABLE-US-00031 TABLE 3 Example 11 NG1L + Sn R D Nd d g, F ED 0.01 G1L 1 54.8432 0.9998 1.48749 70.24 0.53007 2.18989 2 12.4999 4.7588 21.87 *3 60.3447 1.5025 1.53409 55.87 0.55858 21.50 2.09279 *4 9.5469 6.0342 16.91 *5 55.7358 2.7498 1.66121 20.35 0.66162 1.86471 *6 168.6312 DD[6] *7 339.9584 2.0002 1.53409 55.87 0.55858 *8 17.7508 7.8068 9 (St) 0.7416 10 9.9305 2.7307 1.43875 94.66 0.53402 11 9.9354 0.4918 1.88300 39.22 0.57288 12 33.6210 1.4243 13 30.9337 2.7498 1.60342 38.03 0.58356 14 10.0997 0.0498 15 56.6205 2.5585 1.52841 76.45 0.53954 16 7.6603 0.5002 1.72916 54.68 0.54451 *17 32.3471 DD[17] 18 104.2153 0.4932 1.77535 50.31 0.55042 19 13.6890 DD[19] 20 21.8770 1.7502 1.48749 70.24 0.53007 21 16.5444 DD[21]

TABLE-US-00032 TABLE 32 Example 11 Wide Middle Tele Zr 1.0 1.4 1.9 f 12.21 17.27 23.68 Bf 18.88 19.81 16.46 FNo. 5.16 5.87 6.93 2 [] 108.6 79.4 60.6 DD[6] 18.61 7.76 1.39 DD[17] 1.23 2.88 4.54 DD[19] 4.88 6.04 12.93 DD[21] 18.88 19.81 16.46

TABLE-US-00033 TABLE 33 Example 11 Sn 3 4 5 6 KA 1.0000000E+00 1.0000000E+00 1.0000000E+00 1.0000000E+00 A4 1.5877090E04 6.6891819E05 2.4561559E04 2.4428915E04 A6 1.1277355E06 5.0349980E07 9.7111551E07 1.0468202E06 A8 3.6422008E09 1.2516224E08 7.9864755E09 1.5049568E08 A10 0.0000000E+00 1.1669958E10 1.2245401E10 5.2599700E11 Sn 7 8 17 KA 1.0000000E+00 1.0000000E+00 1.0000000E+00 A4 1.4300874E04 1.1721099E04 1.2895451E04 A6 1.2583880E07 1.4729359E07 2.9329475E07 A8 3.8842063E09 3.6461431E08 7.2870323E09 A10 4.8701887E10 1.7166805E09 1.9541000E10

Example 12

[0229] A configuration and a moving path of a variable magnification optical system of Example 12 are illustrated in FIG. 25. The variable magnification optical system of Example 12 consists of, in order from the object side to the image side, the first lens group G1 having a negative refractive power, the second lens group G2 having a positive refractive power, the third lens group G3 having a negative refractive power, and the fourth lens group G4 having a positive refractive power. The subsequent group GR consists of two lens groups including the third lens group G3 and the fourth lens group G4. The first lens group G1 consists of three lenses including the lenses L11 to L13 in order from the object side to the image side. The second lens group G2 consists of the lens L21, the aperture stop St, and lenses L22 to L27 in order from the object side to the image side. The third lens group G3 consists of one lens that is the lens L31. The fourth lens group G4 consists of one lens that is the lens L41.

[0230] During changing the magnification from the wide angle end to the telephoto end, all lens groups move along the optical axis Z by changing their spacings with respect to their adjacent lens groups. The focusing lens group consists of the third lens group G3. During the focusing from the infinite distance object to the nearest object, the third lens group G3 moves to the image side, and other lens groups are fixed with respect to the image plane Sim. The vibration-proof group consists of the lens L21.

[0231] For the variable magnification optical system of Example 12, basic lens data is shown in Table 34, specifications and variable surface spacings are shown in Table 35, aspherical coefficients are shown in Table 36, and each aberration diagram is illustrated in FIG. 26.

TABLE-US-00034 TABLE 34 Example 12 NG1L + Sn R D Nd d g, F ED 0.01 G1L 1 60.2744 0.9998 1.48749 70.24 0.53007 2.18989 2 12.5181 4.7818 22.19 *3 67.4008 1.3431 1.53409 55.87 0.55858 21.93 2.09279 *4 10.1077 5.4298 17.32 *5 24.9590 2.9265 1.66121 20.35 0.66162 1.86471 *6 29.5738 DD[6] *7 33.4320 1.4759 1.53409 55.87 0.55858 *8 36.7163 11.4232 9 (St) 0.7800 10 23.1240 1.6283 1.43875 94.66 0.53402 11 95.0148 0.1000 12 15.5560 3.5092 1.43875 94.66 0.53402 13 7.9835 0.6146 1.88300 39.22 0.57288 14 23.8173 3.2011 1.64769 33.79 0.59393 15 9.5009 0.0498 16 101.0289 0.6098 1.52841 76.45 0.53954 17 19.6123 1.7449 1.60342 38.03 0.58356 *18 50.9593 DD[18] 19 46.3738 0.4641 2.00100 29.14 0.59974 20 14.9109 DD[20] 21 20.3593 2.1810 1.48749 70.24 0.53007 22 12.5785 DD[22]

TABLE-US-00035 TABLE 35 Example 12 Wide Middle Tele Zr 1.0 1.4 2.3 f 12.36 17.48 28.42 Bf 18.16 19.09 28.35 FNo. 4.12 5.02 6.76 2 [] 107.6 82.4 54.6 DD[6] 19.01 10.52 1.55 DD[18] 1.29 2.14 3.45 DD[20] 4.89 10.34 14.96 DD[22] 18.16 19.09 28.35

TABLE-US-00036 TABLE 36 Example 12 Sn 3 4 5 6 KA 1.0000000E+00 1.0000000E+00 1.0000000E+00 1.0000000E+00 A4 7.3832725E05 3.4777524E05 2.9653522E04 3.0391279E04 A6 1.6016039E07 2.0864297E07 7.7688148E07 4.9976964E07 A8 2.3350858E09 1.3147514E08 6.4926116E09 1.0218913E08 A10 0.0000000E+00 1.2037335E10 1.0794603E10 2.2298397E11 Sn 7 8 18 KA 1.0000000E+00 1.0000000E+00 1.0000000E+00 A4 3.6669886E05 3.2797319E05 1.3752563E04 A6 3.2617785E07 5.0050357E07 3.5325374E07 A8 6.2280553E09 1.2096583E08 2.0783381E08 A10 4.1526666E10 4.5940436E10 1.9541000E10

Example 13

[0232] A configuration and a moving path of a variable magnification optical system of Example 13 are illustrated in FIG. 27. The variable magnification optical system of Example 13 consists of, in order from the object side to the image side, the first lens group G1 having a negative refractive power, the second lens group G2 having a positive refractive power, the third lens group G3 having a negative refractive power, and the fourth lens group G4 having a negative refractive power. The subsequent group GR consists of two lens groups including the third lens group G3 and the fourth lens group G4. The first lens group G1 consists of three lenses including the lenses L11 to L13 in order from the object side to the image side. The second lens group G2 consists of the lens L21, the aperture stop St, and the lenses L22 to L25 in order from the object side to the image side. The third lens group G3 consists of one lens that is the lens L31. The fourth lens group G4 consists of one lens that is the lens L41.

[0233] During changing the magnification from the wide angle end to the telephoto end, all lens groups move along the optical axis Z by changing their spacings with respect to their adjacent lens groups. The focusing lens group consists of the third lens group G3. During the focusing from the infinite distance object to the nearest object, the third lens group G3 moves to the image side, and other lens groups are fixed with respect to the image plane Sim. The vibration-proof group consists of the lens L21.

[0234] For the variable magnification optical system of Example 13, basic lens data is shown in Table 37, specifications and variable surface spacings are shown in Table 38, aspherical coefficients are shown in Table 39, and each aberration diagram is illustrated in FIG. 28.

TABLE-US-00037 TABLE 37 Example 13 NG1L + Sn R D Nd d g, F ED 0.01 G1L 1 42.4976 0.9470 1.48749 70.24 0.53007 2.18989 2 12.5000 5.2567 22.10 *3 57.8420 1.2831 1.53409 55.87 0.55858 21.91 2.09279 *4 10.2605 6.2241 17.65 *5 43.0964 3.0937 1.66121 20.35 0.66162 1.86471 *6 129.4942 DD[6] *7 29.9826 2.0002 1.49700 81.54 0.53748 *8 13.1221 6.2360 9 (St) 2.7836 10 10.9139 3.7600 1.43875 94.66 0.53402 11 8.7511 0.4732 1.88300 39.22 0.57288 12 29.0559 2.7601 1.60342 38.03 0.58356 13 9.8636 2.6764 *14 33.8392 0.7501 1.53409 55.87 0.55858 *15 125.7765 DD[15] 16 53.1115 0.4900 1.77535 50.31 0.55042 17 15.3592 DD[17] 18 18.4120 0.9998 1.48749 70.24 0.53007 19 21.3727 DD[19]

TABLE-US-00038 TABLE 38 Example 13 Wide Middle Tele Zr 1.0 1.4 1.9 f 12.86 18.19 24.44 Bf 13.92 15.61 26.92 FNo. 5.16 5.95 6.87 2 [] 106.0 78.0 60.2 DD[6] 17.60 7.54 1.19 DD[15] 1.19 2.22 3.76 DD[17] 10.53 12.81 5.62 DD[19] 13.92 15.61 26.92

TABLE-US-00039 TABLE 39 Example 13 Sn 3 4 5 6 KA 1.0000000E+00 1.0000000E+00 1.0000000E+00 1.0000000E+00 A4 1.1974923E04 1.0065031E04 6.7253122E05 1.0648038E04 A6 1.1184244E06 5.4455344E07 1.3729278E06 1.4050329E06 A8 3.4939609E09 2.1617484E08 1.0758193E09 1.1420789E08 A10 0.0000000E+00 3.0446393E11 5.7244838E12 5.2707175E11 Sn 7 8 14 15 KA 1.0000000E+00 1.0000000E+00 1.0000000E+00 1.0000000E+00 A4 2.7876711E04 1.8924951E04 2.3857464E05 1.3158512E04 A6 3.8709538E08 3.9396139E08 4.9126277E08 1.1534650E06 A8 6.4462637E08 2.6355724E08 3.7660767E08 2.5538765E08 A10 1.5535226E09 1.7688698E09 1.0355652E09 5.7863146E10

Example 14

[0235] A configuration and a moving path of a variable magnification optical system of Example 14 are illustrated in FIG. 29. The variable magnification optical system of Example 14 consists of, in order from the object side to the image side, the first lens group G1 having a negative refractive power, the second lens group G2 having a positive refractive power, the third lens group G3 having a negative refractive power, and the fourth lens group G4 having a negative refractive power. The subsequent group GR consists of two lens groups including the third lens group G3 and the fourth lens group G4. The first lens group G1 consists of three lenses including the lenses L11 to L13 in order from the object side to the image side. The second lens group G2 consists of the lens L21, the aperture stop St, and the lenses L22 to L26 in order from the object side to the image side. The third lens group G3 consists of one lens that is the lens L31. The fourth lens group G4 consists of one lens that is the lens L41.

[0236] During changing the magnification from the wide angle end to the telephoto end, all lens groups move along the optical axis Z by changing their spacings with respect to their adjacent lens groups. The focusing lens group consists of the third lens group G3. During the focusing from the infinite distance object to the nearest object, the third lens group G3 moves to the image side, and other lens groups are fixed with respect to the image plane Sim. The vibration-proof group consists of the lens L21.

[0237] For the variable magnification optical system of Example 14, basic lens data is shown in Table 40, specifications and variable surface spacings are shown in Table 41, aspherical coefficients are shown in Table 42, and each aberration diagram is illustrated in FIG. 30.

TABLE-US-00040 TABLE 40 Example 14 NG1L + Sn R D Nd d g, F ED 0.01 G1L 1 38.0063 1.4847 1.48749 70.24 0.53007 2.18989 2 12.5889 5.9423 22.41 *3 124.6995 1.6631 1.54436 56.03 0.56178 21.92 2.10466 *4 9.6067 5.8857 16.99 *5 58.4420 2.7579 1.66121 20.35 0.66162 1.86471 *6 222.1949 DD[6] *7 73.5027 2.4999 1.54436 56.03 0.56178 *8 14.4329 6.9965 9 (St) 2.2789 10 10.6602 3.7354 1.43875 94.66 0.53402 11 8.6940 0.4883 1.88300 39.22 0.57288 12 37.1113 1.4517 13 38.7637 2.4030 1.60342 38.03 0.58356 14 9.3570 0.0498 15 92.9511 2.4658 1.52841 76.45 0.53954 16 7.7275 0.5000 1.72916 54.68 0.54451 *17 27.2595 DD[17] 18 35.8231 0.4648 1.77535 50.31 0.55042 19 14.4853 DD[19] 20 13.6641 0.9998 1.48749 70.24 0.53007 21 16.4636 DD[21]

TABLE-US-00041 TABLE 41 Example 14 Wide Middle Tele Zr 1.0 1.4 1.9 f 12.21 17.27 23.69 Bf 10.96 13.55 22.61 FNo. 5.16 5.81 6.74 2 [] 108.6 79.4 60.4 DD[6] 18.65 7.66 0.96 DD[17] 1.02 4.25 7.91 DD[19] 14.16 12.10 4.82 DD[21] 10.96 13.55 22.61

TABLE-US-00042 TABLE 42 Example 14 Sn 3 4 5 6 KA 1.0000000E+00 1.0000000E+00 1.0000000E+00 1.0000000E+00 A4 1.4352238E04 1.8003658E05 2.8775269E04 2.8073833E04 A6 1.2621186E06 2.1692614E07 1.0412130E06 7.8421313E07 A8 4.3160907E09 3.3328091E08 1.0930508E08 1.3066798E08 A10 0.0000000E+00 3.4281449E11 1.6329655E10 3.8094602E11 Sn 7 8 17 KA 1.0000000E+00 1.0000000E+00 1.0000000E+00 A4 2.9330193E04 2.1988579E04 9.0665436E05 A6 1.9971326E06 1.6966843E06 9.5780100E07 A8 1.6088401E08 9.3827963E09 1.6353750E08 A10 3.0850278E09 2.5648487E09 1.9541000E10

Example 15

[0238] A configuration and a moving path of a variable magnification optical system of Example 15 are illustrated in FIG. 31. The variable magnification optical system of Example 15 consists of, in order from the object side to the image side, the first lens group G1 having a negative refractive power, the second lens group G2 having a positive refractive power, the third lens group G3 having a negative refractive power, and the fourth lens group G4 having a negative refractive power. The subsequent group GR consists of two lens groups including the third lens group G3 and the fourth lens group G4. The first lens group G1 consists of three lenses including the lenses L11 to L13 in order from the object side to the image side. The second lens group G2 consists of the aperture stop St and six lenses including the lenses L21 to L26 in order from the object side to the image side. The third lens group G3 consists of one lens that is the lens L31. The fourth lens group G4 consists of two lenses including lenses L41 and L42 in order from the object side to the image side.

[0239] During changing the magnification from the wide angle end to the telephoto end, all lens groups move along the optical axis Z by changing their spacings with respect to their adjacent lens groups. The focusing lens group consists of the third lens group G3. During the focusing from the infinite distance object to the nearest object, the third lens group G3 moves to the image side, and other lens groups are fixed with respect to the image plane Sim. The vibration-proof group consists of the lens L21.

[0240] For the variable magnification optical system of Example 15, basic lens data is shown in Table 43, specifications and variable surface spacings are shown in Table 44, aspherical coefficients are shown in Table 45, and each aberration diagram is illustrated in FIG. 32.

TABLE-US-00043 TABLE 43 Example 15 NG1L + Sn R D Nd d g, F ED 0.01 G1L 1 77.0103 1.0000 1.48749 70.24 0.53007 2.18989 2 12.5109 4.7920 21.77 *3 73.9593 1.3596 1.53409 55.87 0.55858 21.57 2.09279 *4 10.7314 5.8080 17.82 *5 23.8312 3.1314 1.66121 20.35 0.66162 1.86471 *6 58.9120 DD[6] 7 (St) 0.7000 *8 155.8595 2.7969 1.53409 55.87 0.55858 *9 17.0033 5.7694 10 816.0146 2.5099 1.43875 94.66 0.53402 11 10.1445 0.4500 1.72916 54.68 0.54451 12 31.2710 0.0500 13 10.5952 3.9759 1.48749 70.24 0.53007 14 20.3428 2.0656 15 63.8046 5.7597 1.60311 60.64 0.54148 16 6.6391 0.5000 1.88300 39.22 0.57288 *17 14.9640 DD[17] 18 24.4068 0.5486 1.75500 52.32 0.54757 19 15.6287 DD[19] 20 28.5535 3.9999 1.95906 17.47 0.65993 21 16.4197 1.0100 1.88300 39.22 0.57288 22 121.0649 DD[22]

TABLE-US-00044 TABLE 44 Example 15 Wide Middle Tele Zr 1.0 1.4 1.9 f 12.32 17.42 23.90 Bf 11.01 13.15 18.77 FNo. 5.15 5.78 6.71 2 [] 108.4 81.4 62.0 DD[6] 18.70 8.48 2.32 DD[17] 1.42 1.17 1.64 DD[19] 8.00 11.09 11.40 DD[22] 11.01 13.15 18.77

TABLE-US-00045 TABLE 45 Example 15 Sn 3 4 5 6 KA 1.0000000E+00 1.0000000E+00 1.0000000E+00 1.0000000E+00 A4 6.2841854E05 7.3787961E05 1.3794522E04 1.2667846E04 A6 8.8224365E08 7.2201427E08 6.4957653E07 5.5173294E07 A8 1.4707419E09 1.8400991E09 6.4727460E10 3.3088719E09 A10 0.0000000E+00 1.5314617E11 3.9113094E11 5.6679484E12 Sn 8 9 17 KA 1.0000000E+00 1.0000000E+00 1.0000000E+00 A4 9.6088192E05 3.2872390E05 6.2296419E05 A6 2.2402146E07 6.8967354E07 5.5167392E07 A8 7.5748695E08 1.5022311E07 4.9347515E09 A10 2.0123997E09 5.0288045E09 1.9541000E10

Example 16

[0241] A configuration and a moving path of a variable magnification optical system of Example 16 are illustrated in FIG. 33. The variable magnification optical system of Example 16 consists of, in order from the object side to the image side, the first lens group G1 having a negative refractive power, the second lens group G2 having a positive refractive power, the third lens group G3 having a positive refractive power, the fourth lens group G4 having a negative refractive power, and a fifth lens group G5 having a positive refractive power. The subsequent group GR consists of three lens groups including the third lens group G3, the fourth lens group G4, and the fifth lens group G5. The first lens group G1 consists of three lenses including the lenses L11 to L13 in order from the object side to the image side. The second lens group G2 consists of one lens that is the lens L21. The third lens group G3 consists of the aperture stop St and five lenses including the lenses L31 to L35 in order from the object side to the image side. The fourth lens group G4 consists of one lens that is the lens L41. The fifth lens group G5 consists of one lens that is a lens L51.

[0242] During changing the magnification from the wide angle end to the telephoto end, all lens groups move along the optical axis Z by changing their spacings with respect to their adjacent lens groups. The focusing lens group consists of the fourth lens group G4. During the focusing from the infinite distance object to the nearest object, the fourth lens group G4 moves to the image side, and other lens groups are fixed with respect to the image plane Sim. The vibration-proof group consists of the second lens group G2.

[0243] For the variable magnification optical system of Example 16, basic lens data is shown in Table 46, specifications and variable surface spacings are shown in Table 47, aspherical coefficients are shown in Table 48, and each aberration diagram is illustrated in FIG. 34.

TABLE-US-00046 TABLE 46 Example 16 NG1L + Sn R D Nd d g, F ED 0.01 G1L 1 107.9316 1.0001 1.48749 70.24 0.53007 2.18989 2 12.4999 3.3191 21.60 *3 29.6661 1.0554 1.53409 55.87 0.55858 21.45 2.09279 *4 9.7183 7.5555 17.66 *5 51.1177 2.7490 1.66121 20.35 0.66162 1.86471 *6 39.0384 DD[6] *7 210.6221 2.0002 1.53409 55.87 0.55858 *8 16.4519 DD[8] 9 (St) 0.0500 10 9.0618 3.7600 1.43875 94.66 0.53402 11 9.8676 0.6251 1.95375 32.32 0.59056 12 16.2074 0.0502 13 14.3570 3.2006 1.71736 29.52 0.60483 14 10.6426 0.8317 15 881.5853 2.5099 1.49700 81.54 0.53748 16 8.7400 0.5001 1.80400 46.53 0.55775 *17 22.8093 DD[17] 18 32.0621 0.4426 1.77535 50.31 0.55042 19 15.0724 DD[19] 20 78.1026 1.7502 1.48749 70.24 0.53007 21 46.5828 DD[21]

TABLE-US-00047 TABLE 47 Example 16 Wide Middle Tele Zr 1.0 1.4 1.9 f 12.28 17.37 23.83 Bf 14.97 19.85 17.98 FNo. 4.64 5.33 6.24 2 [] 108.6 79.2 60.0 DD[6] 19.52 8.10 0.83 DD[8] 8.63 8.98 7.09 DD[17] 1.29 2.58 4.66 DD[19] 6.36 3.56 8.27 DD[21] 14.97 19.85 17.98

TABLE-US-00048 TABLE 48 Example 16 Sn 3 4 5 6 KA 1.0000000E+00 1.0000000E+00 1.0000000E+00 1.0000000E+00 A4 1.6777015E04 1.1992882E04 9.3602490E05 9.6608503E05 A6 2.2957206E06 2.1330736E06 1.6179738E06 1.4574428E06 A8 1.3277977E08 3.1526966E08 1.2503161E08 8.4062370E09 A10 0.0000000E+00 2.8343686E10 1.7378989E10 2.5478204E13 Sn 7 8 17 KA 1.0000000E+00 1.0000000E+00 1.0000000E+00 A4 1.8431456E04 1.4402061E04 1.7152636E04 A6 2.9637152E06 3.2736086E06 1.7650740E06 A8 4.2666330E08 9.7442379E08 3.1550724E08 A10 2.2698593E09 3.1564561E09 1.9541000E10

Example 17

[0244] A configuration and a moving path of a variable magnification optical system of Example 17 are illustrated in FIG. 35. The variable magnification optical system of Example 17 consists of, in order from the object side to the image side, the first lens group G1 having a negative refractive power, the second lens group G2 having a positive refractive power, the third lens group G3 having a positive refractive power, the fourth lens group G4 having a negative refractive power, and the fifth lens group G5 having a positive refractive power. The subsequent group GR consists of three lens groups including the third lens group G3, the fourth lens group G4, and the fifth lens group G5. The first lens group G1 consists of three lenses including the lenses L11 to L13 in order from the object side to the image side. The second lens group G2 consists of one lens that is the lens L21. The third lens group G3 consists of the aperture stop St and five lenses including the lenses L31 to L35 in order from the object side to the image side. The fourth lens group G4 consists of one lens that is the lens L41. The fifth lens group G5 consists of one lens that is the lens L51.

[0245] During changing the magnification from the wide angle end to the telephoto end, all lens groups move along the optical axis Z by changing their spacings with respect to their adjacent lens groups. The focusing lens group consists of the fourth lens group G4. During the focusing from the infinite distance object to the nearest object, the fourth lens group G4 moves to the image side, and other lens groups are fixed with respect to the image plane Sim. The vibration-proof group consists of the second lens group G2.

[0246] For the variable magnification optical system of Example 17, basic lens data is shown in Table 49, specifications and variable surface spacings are shown in Table 50, aspherical coefficients are shown in Table 51, and each aberration diagram is illustrated in FIG. 36.

TABLE-US-00049 TABLE 49 Example 17 NG1L + Sn R D Nd d g, F ED 0.01 G1L 1 52.7167 0.9998 1.48749 70.24 0.53007 2.18989 2 12.5000 4.9355 23.50 *3 51.2284 1.7717 1.54436 56.03 0.56178 23.09 2.10466 *4 11.1388 5.2755 18.61 *5 17.7873 3.5871 1.66121 20.35 0.66162 1.86471 *6 23.5115 DD[6] *7 23.4204 2.3410 1.54436 56.03 0.56178 *8 10.6133 DD[8] 9 (St) 4.0300 10 11.5345 2.7887 1.43875 94.66 0.53402 11 10.9243 0.4837 1.88300 39.22 0.57288 12 649.1500 2.0179 13 126.4172 2.0090 1.65412 39.68 0.57378 14 11.2655 0.0574 15 106.4768 2.3769 1.52841 76.45 0.53954 16 11.2543 0.4999 1.72916 54.68 0.54451 *17 36.2178 DD[17] 18 89.6103 0.4754 1.77535 50.31 0.55042 19 16.6187 DD[19] 20 115.8088 1.5264 1.51680 64.20 0.53430 21 41.1177 DD[21]

TABLE-US-00050 TABLE 50 Example 17 Wide Middle Tele Zr 1.0 1.4 2.1 f 12.22 17.29 25.67 Bf 16.19 18.06 22.50 FNo. 5.16 5.81 7.07 2 [] 108.6 79.4 57.2 DD[6] 19.91 8.93 1.88 DD[8] 4.92 3.28 0.24 DD[17] 0.83 2.00 2.79 DD[19] 6.94 8.36 11.68 DD[21] 16.19 18.06 22.50

TABLE-US-00051 TABLE 51 Example 17 Sn 3 4 5 6 KA 1.0000000E+00 1.0000000E+00 1.0000000E+00 1.0000000E+00 A4 2.4217097E04 1.5532071E04 2.3248836E04 2.3986047E04 A6 1.2216001E06 6.0333283E07 7.6012719E08 3.1843532E07 A8 3.1880085E09 1.8864786E08 7.4608966E09 5.6916655E09 A10 0.0000000E+00 1.9453327E11 5.2900039E11 1.3581954E11 Sn 7 8 17 KA 1.0000000E+00 1.0000000E+00 1.0000000E+00 A4 4.1515322E04 2.5106257E04 1.2726560E04 A6 6.2834472E06 3.9302514E06 8.4938501E07 A8 3.5115942E08 2.9342254E08 4.6135685E09 A10 8.4925832E09 4.6394777E09 1.9541000E10

Example 18

[0247] A configuration and a moving path of a variable magnification optical system of Example 18 are illustrated in FIG. 37. The variable magnification optical system of Example 18 consists of, in order from the object side to the image side, the first lens group G1 having a negative refractive power, the second lens group G2 having a positive refractive power, the third lens group G3 having a positive refractive power, the fourth lens group G4 having a negative refractive power, and the fifth lens group G5 having a negative refractive power. The subsequent group GR consists of three lens groups including the third lens group G3, the fourth lens group G4, and the fifth lens group G5. The first lens group G1 consists of four lenses including the lenses L11 to L14 in order from the object side to the image side. The second lens group G2 consists of one lens that is the lens L21. The third lens group G3 consists of the aperture stop St and five lenses including the lenses L31 to L35 in order from the object side to the image side. The fourth lens group G4 consists of one lens that is the lens L41. The fifth lens group G5 consists of one lens that is the lens L51.

[0248] During changing the magnification from the wide angle end to the telephoto end, all lens groups move along the optical axis Z by changing their spacings with respect to their adjacent lens groups. The focusing lens group consists of the fourth lens group G4. During the focusing from the infinite distance object to the nearest object, the fourth lens group G4 moves to the image side, and other lens groups are fixed with respect to the image plane Sim. The vibration-proof group consists of the second lens group G2.

[0249] For the variable magnification optical system of Example 18, basic lens data is shown in Table 52, specifications and variable surface spacings are shown in Table 53, aspherical coefficients are shown in Table 54, and each aberration diagram is illustrated in FIG. 38.

TABLE-US-00052 TABLE 52 Example 18 NG1L + Sn R D Nd d g, F ED 0.01 G1L 1 77.0925 3.0000 1.75500 52.32 0.54757 2.27820 2 354.1374 0.0500 3 152.7158 0.9998 1.51680 64.20 0.53430 2.15880 4 12.4999 5.8467 21.95 *5 187.5760 1.5963 1.54436 56.03 0.56178 21.41 2.10466 *6 10.8190 4.4844 17.22 *7 20.8810 3.7713 1.66121 20.35 0.66162 1.86471 *8 31.5660 DD[8] *9 24.7294 2.4718 1.54436 56.03 0.56178 *10 10.7807 DD[10] 11 4.7075 (St) 12 11.6866 3.6476 1.43875 94.66 0.53402 13 8.8436 0.4870 1.88300 39.22 0.57288 14 267.2920 1.2121 15 116.3163 2.4521 1.60342 38.03 0.58356 16 10.3308 0.0498 17 32.7417 2.2208 1.52841 76.45 0.53954 18 14.2566 0.4998 1.72916 54.68 0.54451 *19 33.5592 DD[19] 20 381.0956 0.4342 1.77535 50.31 0.55042 21 13.0792 DD[21] 22 11.4008 0.9998 1.48749 70.24 0.53007 23 13.9341 DD[23]

TABLE-US-00053 TABLE 53 Example 18 Wide Middle Tele Zr 1.0 1.4 2.1 f 12.26 17.34 25.74 Bf 12.91 20.92 30.11 FNo. 5.15 5.84 7.06 2 [] 108.4 81.2 58.0 DD[8] 17.55 8.11 1.78 DD[10] 4.17 2.95 0.01 DD[19] 0.08 1.04 1.76 DD[21] 11.54 7.45 5.84 DD[23] 12.91 20.92 30.11

TABLE-US-00054 TABLE 54 Example 18 Sn 5 6 7 8 KA 1.0000000E+00 1.0000000E+00 1.0000000E+00 1.0000000E+00 A4 1.7672566E04 7.0721380E05 2.3354429E04 2.2587478E04 A6 1.3524715E06 2.3166618E07 1.0335805E07 4.8332442E07 A8 2.6415974E09 2.0733995E08 8.4848505E09 8.7439855E09 A10 0.0000000E+00 7.7103234E11 6.0438959E11 2.1374773E12 Sn 9 10 19 KA 1.0000000E+00 1.0000000E+00 1.0000000E+00 A4 3.8825691E04 2.2515159E04 1.2915608E04 A6 4.8832035E06 3.6869311E06 7.4747940E07 A8 3.5311225E08 2.5756266E08 4.5460297E09 A10 5.5641473E09 3.8154995E09 1.9541000E10

Example 19

[0250] A configuration and a moving path of a variable magnification optical system of Example 19 are illustrated in FIG. 39. The variable magnification optical system of Example 19 consists of, in order from the object side to the image side, the first lens group G1 having a negative refractive power, the second lens group G2 having a positive refractive power, the third lens group G3 having a negative refractive power, the fourth lens group G4 having a positive refractive power, and the fifth lens group G5 having a positive refractive power. The subsequent group GR consists of three lens groups including the third lens group G3, the fourth lens group G4, and the fifth lens group G5. The first lens group G1 consists of three lenses including the lenses L11 to L13 in order from the object side to the image side. The second lens group G2 consists of the lens L21, the aperture stop St, and the lenses L22 to L24 in order from the object side to the image side. The third lens group G3 consists of one lens that is the lens L31. The fourth lens group G4 consists of one lens that is the lens L41. The fifth lens group G5 consists of one lens that is the lens L51.

[0251] During changing the magnification from the wide angle end to the telephoto end, the fifth lens group G5 is fixed with respect to the image plane Sim, and other lens groups move along the optical axis Z by changing their spacings with respect to their adjacent lens groups. The focusing lens group consists of the third lens group G3. During the focusing from the infinite distance object to the nearest object, the third lens group G3 moves to the image side, and other lens groups are fixed with respect to the image plane Sim. The vibration-proof group consists of the lens L21.

[0252] For the variable magnification optical system of Example 19, basic lens data is shown in Table 55, specifications and variable surface spacings are shown in Table 56, aspherical coefficients are shown in Table 57, and each aberration diagram is illustrated in FIG. 40.

TABLE-US-00055 TABLE 55 Example 19 NG1L + Sn R D Nd d g, F ED 0.01 G1L 1 31.6978 2.3375 1.77535 50.31 0.55042 2.27845 2 13.0007 7.0841 23.64 3 74.6114 0.6249 1.80400 46.53 0.55775 2.26930 4 22.2594 3.0000 *5 17.1985 2.5663 1.66121 20.35 0.66162 1.86471 *6 25.2829 DD[6] 7 33.8706 2.3497 1.77535 50.31 0.55042 8 59.5180 1.4999 9 (St) 3.7499 10 21.3144 3.7599 1.497 81.54 0.53748 11 10.0930 0.7000 1.95375 32.32 0.59056 12 36.5657 1.5362 *13 694.2627 2.6262 1.54436 56.03 0.56178 *14 11.3668 DD[14] 15 1701.5868 1.2498 1.755 52.32 0.54757 16 10.5550 DD[16] *17 34.5615 1.0002 1.66121 20.35 0.66162 *18 21.6811 DD[18] 19 65.6032 1.9762 1.48749 70.24 0.53007 20 10.4000

TABLE-US-00056 TABLE 56 Example 19 Wide Middle Tele Zr 1.0 1.5 2.2 f 13.52 20.05 29.74 Bf 10.40 10.40 10.40 FNo. 4.61 5.12 5.65 2 [] 102.2 69.2 47.0 DD[6] 29.64 13.67 1.60 DD[14] 1.94 3.53 6.51 DD[16] 3.44 3.16 3.33 DD[18] 7.51 9.53 9.60

TABLE-US-00057 TABLE 57 Example 19 Sn 5 6 13 14 KA 1.0000000E+00 1.0000000E+00 1.0000000E+00 1.0000000E+00 A4 3.3614432E05 4.7555765E05 1.1374329E04 4.8118646E05 A6 5.4657374E10 2.5790496E07 1.9066192E06 2.2282568E06 A8 1.1519429E09 1.6590025E09 1.2682754E07 1.1011527E07 A10 1.4673234E11 4.2867523E12 4.3172848E09 3.2591354E09 Sn 17 18 KA 1.0000000E+00 1.0000000E+00 A4 2.6435091E04 2.2915341E04 A6 2.4866697E06 2.7876554E07 A8 1.6305953E08 5.9005483E08 A10 1.5353388E09 2.3247486E09 A12 1.39564E14

Example 20

[0253] A configuration and a moving path of a variable magnification optical system of Example 20 are illustrated in FIG. 41. The variable magnification optical system of Example 20 consists of, in order from the object side to the image side, the first lens group G1 having a negative refractive power, the second lens group G2 having a positive refractive power, the third lens group G3 having a negative refractive power, the fourth lens group G4 having a negative refractive power, and the fifth lens group G5 having a positive refractive power. The subsequent group GR consists of three lens groups including the third lens group G3, the fourth lens group G4, and the fifth lens group G5. The first lens group G1 consists of three lenses including the lenses L11 to L13 in order from the object side to the image side. The second lens group G2 consists of the lens L21, the aperture stop St, and the lenses L22 to L24 in order from the object side to the image side. The third lens group G3 consists of one lens that is the lens L31. The fourth lens group G4 consists of one lens that is the lens L41. The fifth lens group G5 consists of one lens that is the lens L51.

[0254] During changing the magnification from the wide angle end to the telephoto end, all lens groups move along the optical axis Z by changing their spacings with respect to their adjacent lens groups. The focusing lens group consists of the third lens group G3. During the focusing from the infinite distance object to the nearest object, the third lens group G3 moves to the image side, and other lens groups are fixed with respect to the image plane Sim. The vibration-proof group consists of the lens L21.

[0255] For the variable magnification optical system of Example 20, basic lens data is shown in Table 58, specifications and variable surface spacings are shown in Table 59, aspherical coefficients are shown in Table 60, and each aberration diagram is illustrated in FIG. 42.

TABLE-US-00058 TABLE 58 Example 20 NG1L + Sn R D Nd d g, F ED 0.01 G1L 1 32.0985 0.9998 1.77535 50.31 0.55042 2.27845 2 14.2821 6.6926 24.54 3 117.5809 0.7500 1.65160 58.54 0.53901 2.23700 4 18.7159 3.0000 *5 406.9518 2.3872 1.66121 20.35 0.66162 1.86471 *6 64.5994 DD[6] 7 46.8649 2.3694 1.77535 50.31 0.55042 8 63.0004 0.9947 9 (St) 3.3182 10 21.1088 2.5098 1.49700 81.54 0.53748 11 11.1502 0.7000 1.95375 32.32 0.59056 12 27.9015 0.7557 *13 34.3608 3.4384 1.54436 56.03 0.56178 *14 8.3490 DD[14] 15 92.4971 0.8750 1.64000 60.08 0.53704 16 9.7688 DD[16] *17 214.9332 0.9998 1.54436 56.03 0.56178 *18 15.3397 DD[18] 19 36.6521 2.5458 1.48749 70.24 0.53007 20 DD[20]

TABLE-US-00059 TABLE 59 Example 20 Wide Middle Tele Zr 1.0 1.5 2.2 f 13.23 19.62 29.10 Bf 10.36 15.36 34.66 FNo. 5.10 6.29 7.51 2 [] 103.4 74.8 52.0 DD[6] 27.02 16.79 6.80 DD[14] 0.05 0.09 0.25 DD[16] 4.97 3.82 1.78 DD[18] 7.45 12.08 2.08 DD[20] 10.36 15.36 34.66

TABLE-US-00060 TABLE 60 Example 20 Sn 5 6 13 14 KA 1.0000000E+00 1.0000000E+00 1.0000000E+00 1.0000000E+00 A4 8.2147757E06 1.2315091E05 3.4526260E04 3.2304968E04 A6 6.8056375E07 6.8281505E07 1.1789116E05 1.5594896E05 A8 1.3110760E09 2.5455416E09 5.1003799E08 1.1877028E07 A10 1.0185620E11 6.1687528E12 1.9605880E08 8.3499544E09 Sn 17 18 KA 1.0000000E+00 1.0000000E+00 A4 2.2672203E04 4.8793273E06 A6 4.4082312E06 5.6498262E06 A8 5.6236586E07 4.1816205E07 A10 1.0692935E08 6.6632442E09 A12 1.3956400E14

[0256] Tables 61 to 64 show the corresponding values of Conditional Expressions (1) to (3) and (5) to (33) of the variable magnification optical systems of Examples 1 to 20. Preferable ranges of the conditional expressions may be set using the corresponding values of the examples shown in Tables 61 to 64 as the upper limits and the lower limits of the conditional expressions. The corresponding value of Conditional Expression (4) for the lenses of the first lens group G1 is shown in the column of NG1L+0.01vG1L of the basic lens data, as described above. Thus, the corresponding value is not shown in Tables 61 to 64.

TABLE-US-00061 TABLE 61 Expression Example Example Example Example Example Number 1 2 3 4 5 (1) TLw/(ft tan t) 5.9834 5.4609 6.0884 6.4674 6.4588 (2) Bfw/(ft tan t) 1.5174 1.3272 1.6417 1.8806 1.2627 (3) (fw TLw)/ft.sup.2 1.7151 1.7025 2.1604 1.8322 1.6083 (5) Dsum/(TLw Bfw) 0.4626 0.5325 0.6126 0.7442 0.4225 (6) dG1/|f1| 0.5735 0.5735 0.9232 0.8971 0.8452 (7) NG1n + 0.01 G1n 2.0928 2.0928 2.1047 2.1047 2.1047 (8) dm/dG1 0.3693 0.5582 0.2895 0.2541 0.4805 (9) f2/|f1| 0.9571 1.0003 0.8808 0.8808 1.5253 (10) fw/|f1| 0.5027 0.5633 0.6994 0.6989 0.7149 (11) (Rf + Rr)/(Rf Rr) 1.1722 1.5060 3.1561 2.2950 2.1211 (12) ft/|fois| 1.0233 0.8151 0.7389 0.8255 0.9840 (13) ft/|ffoc| 0.4886 0.4590 1.0424 1.1646 0.8642 (14) Nr + 0.01 r 2.1047 (15) ft/|f1| 0.9052 1.0140 1.1890 1.3283 1.5009 (16) |f1|/(fw ft).sup.1/2 1.4824 1.3231 1.0966 1.0379 0.9654 (17) f2/(fw ft).sup.1/2 1.4188 1.3235 0.9659 0.9142 1.4725 (18) dG1(/TLw Bfw) 0.2748 0.2438 0.2895 0.2735 0.2073 (19) |f1|/(ft/FNot) 7.2800 6.6369 4.9875 4.9611 4.4774 (20) fw/|ffoc| 0.2713 0.2550 0.6132 0.6127 0.4116 (21) N1nm 1.7550 1.7550 1.4875 1.4875 1.7550 (22) NG1n 1.5341 1.5341 1.5444 1.5444 1.5444 (23) Dfoc/(ft tan t) 0.1953 0.2130 0.0546 0.0361 0.2396 (24) foc 55.87 55.87 46.62 46.62 94.66 (25) w 48.7 50.3 51.4 51.3 53.5 (26) ft/fw 1.8 1.8 1.7 1.9 2.1 (27) L1n 1.01 1.01 1.04 1.04 1.04 (28) dL1nh/dL1n 3.21457 3.74633 2.6683 2.86536 2.6512 (29) L2nm (30) dL2nmh/dL2nm (31) fw/|fL1nm| 0.8014 0.6443 0.2057 0.2517 0.3907 (32) Lr (33) dL1nmh/dL1nm 6.4876 6.6923 4.3569 4.8810 6.2072

TABLE-US-00062 TABLE 62 Expression Example Example Example Example Example Number 6 7 8 9 10 (1) TLw/(ft tan t) 7.5144 6.2863 7.7761 6.1344 6.6756 (2) Bfw/(ft tan t) 1.2959 1.3344 1.3242 1.8206 1.3989 (3) (fw TLw)/ft.sup.2 1.7937 1.3751 1.5843 1.5922 2.0032 (5) Dsum/(TLw Bfw) 0.3681 0.4294 0.3676 0.5611 0.5762 (6) dG1/|f1| 0.9567 0.9805 1.0020 1.0333 1.1609 (7) NG1n + 0.01 G1n 2.1047 2.1047 2.1047 2.1047 2.0928 (8) dm/dG1 0.2660 0.2892 0.5235 0.2978 0.2550 (9) f2/|f1| 1.5015 1.4460 1.4945 2.3603 1.1396 (10) fw/|f1| 0.6854 0.6935 0.7332 0.7632 0.8123 (11) (Rf + Rr)/(Rf Rr) 2.8954 3.3002 1.5299 1.6444 2.1302 (12) ft/|fois| 1.0040 1.028 1.1279 1.6793 0.6642 (13) ft/|ffoc| 0.6633 0.8221 0.6917 1.4103 1.1326 (14) Nr + 0.01 r 2.1047 2.1047 2.1047 2.1047 (15) ft/|f1| 1.5076 1.5947 1.6857 1.6033 1.5190 (16) |f1|/(fw ft).sup.1/2 0.9837 0.9509 0.8995 0.9040 0.9003 (17) f2/(fw ft).sup.1/2 1.4771 1.3750 1.3443 2.1338 1.0260 (18) dG1(/TLw Bfw) 0.1944 0.2469 0.1967 0.2740 0.2581 (19) |f1|/(ft/FNot) 4.6166 4.1576 4.4076 4.3412 4.3712 (20) fw/|ffoc| 0.3016 0.3575 0.3008 0.6714 0.6056 (21) N1nm 1.6516 1.6516 1.7550 1.4875 1.4875 (22) NG1n 1.5444 1.5444 1.5444 1.5444 1.5341 (23) Dfoc/(ft tan t) 0.2442 0.3052 0.1979 0.0315 0.0367 (24) foc 94.66 94.66 50.31 40.78 (25) w 55.5 55.8 55 54.3 52.6 (26) ft/fw 2.2 2.3 2.3 2.1 1.9 (27) L1n 3.06 3.06 1.04 1.04 1.01 (28) dL1nh/dL1n 2.80229 3.18721 3.82753 (29) L2nm 1.04 1.04 (30) dL2nmh/dL2nm 1.9353 1.2343 (31) fw/|fL1nm| 0.2465 0.2217 0.6060 0.3574 0.3157 (32) Lr 1.04 1.04 1.04 (33) dL1nmh/dL1nm 5.7972 5.6214 6.9170 7.8984 6.2766

TABLE-US-00063 TABLE 63 Expression Example Example Example Example Example Number 11 12 13 14 15 (1) TLw/(ft tan t) 5.9940 5.9046 5.8567 6.2995 5.9438 (2) Bfw/(ft tan t) 1.3644 1.2380 0.9825 0.7949 0.7667 (3) (fw TLw)/ft.sup.2 1.8060 1.3254 1.7864 1.8897 1.8410 (5) Dsum/(TLw Bfw) 0.6141 0.6320 0.5754 0.5543 0.6218 (6) dG1/|f1| 1..1499 1.2048 1.0158 1.2875 0.9011 (7) NG1n + 0.01 G1n 2.0928 2.0928 2.0928 2.1047 2.0928 (8) dm/dG1 0.2966 0.3089 0.3128 0.3351 0.2978 (9) f2/|f1| 1.0932 1.2489 1.0091 1.3053 1.0181 (10) fw/|f1| 0.8750 0.9619 0.7774 0.8865 0.6900 (11) (Rf + Rr)/(Rf Rr) 1.5904 1.5242 1.8334 1.9906 1.3879 (12) ft/|fois| 0.7482 0.8611 0.5410 0.7288 0.6735 (13) ft/|ffoc| 1.5202 2.5309 0.8720 0.7481 0.4041 (14) Nr + 0.01 r (15) ft/|f1| 1.6970 2.2118 1.4774 1.7200 1.3385 (16) |f1|/(fw ft).sup.1/2 0.8206 0.6856 0.9331 0.8099 1.0406 (17) f2/(fw ft).sup.1/2 0.8971 0.8562 0.9416 1.0571 1.0595 (18) dG1(/TLw Bfw) 0.2505 0.2262 0.2434 0.2337 0.2164 (19) |f1|/(ft/FNot) 4.0836 3.0564 4.6500 3.9187 5.0132 (20) fw/|ffoc| 0.7839 1.1007 0.4588 0.3856 0.2083 (21) N1nm 1.4875 1.4875 1.4875 1.4875 1.4875 (22) NG1n 1.5341 1.5341 1.5341 1.5444 1.5341 (23) Dfoc/(ft tan t) 0.0356 0.0316 0.0346 0.0337 0.0382 (24) foc 50.31 29.14 50.31 50.31 52.32 (25) w 543 53.8 53 54.3 54.2 (26) ft/fw 1.9 2.3 1.9 1.9 1.9 (27) L1n 1.01 1.01 1.01 1.04 1.01 (28) dL1nh/dL1n 3.42962 3.73911 3.86018 3.18201 3.46205 (29) L2nm (30) dL2nmh/dL2nm (31) fw/|fL1nm| 0.3648 0.3788 0.3504 0.3102 0.4000 (32) Lr (33) dL1nmh/dL1nm 6.3683 6.6903 6.5016 4.4810 6.5890

TABLE-US-00064 TABLE 64 Expression Example Example Example Example Example Number 16 17 18 19 20 (1) TLw/(ft tan t) 5.9724 5.9994 5.9701 6.8818 5.7906 (2) Bfw/(ft tan t) 1.0881 1.1568 0.9048 0.8042 0.7299 (3) (fw TLw)/ft.sup.2 1.7769 1.5571 1.5762 1.3603 1.2840 (5) Dsum/(TLw Bfw) 0.4673 0.5190 0.5387 0.4588 0.4502 (6) dG1/|f1| 1.0417 1.0113 1.3839 0.7366 0.6504 (7) NG1n + 0.01 G1n 2.0928 2.1047 2.1047 2.2693 2.2370 (8) dm/dG1 0.2117 0.2979 0.2961 0.4537 0.4839 (9) f2/|f1| 2.2120 2.0443 2.3159 0.7262 0.4961 (10) fw/|f1| 0.8158 0.7458 0.8592 0.6378 0.6222 (11) (Rf + Rr)/(Rf Rr) 1.2620 1.6216 1.1783 2.3907 2.6033 (12) ft/|fois| 0.7157 0.7664 0.7789 1.0565 0.8317 (13) ft/|ffoc| 1.8095 1.4225 1.4728 2.1134 2.1148 (14) Nr + 0.01 r (15) ft/|f1| 1.5832 1.5667 1.8038 1.4031 1.3686 (16) |f1|/(fw ft).sup.1/2 0.8799 0.9251 0.8033 1.0571 1.0837 (17) f2/(fw ft).sup.1/2 1.9463 1.8912 1.8603 0.7677 0.5377 (18) dG1(/TLw Bfw) 0.2333 0.2445 0.2733 0.1987 0.1925 (19) |f1|/(ft/FNot) 3.9414 4.5127 3.9139 4.0269 5.4875 (20) fw/|ffoc| 0.9325 0.6772 0.7015 0.9608 0.9615 (21) N1nm 1.4875 1.4875 1.5168 1.7754 1.7754 (22) NG1n 1.5341 1.5444 1.5444 1.8040 1.6516 (23) Dfoc/(ft tan t) 0.0322 0.0340 0.0304 0.0966 0.0617 (24) foc 50.31 50.31 50.31 52.32 60.08 (25) w 54.3 54.3 54.2 51.1 51.7 (26) ft/fw 1.9 2.1 2.1 2.2 2.2 (27) L1n 1.01 1.04 1.04 4.46 3.24 (28) dL1nh/dL1n 4.10934 3.00672 3.05394 (29) L2nm (30) dL2nmh/dL2nm (31) fw/|fL1nm| 0.4220 0.3606 0.4643 0.4496 0.3889 (32) Lr 1.23 1.04 (33) dL1nmh/dL1nm 6.7013 7.9166 7.1314 3.2727 5.481

[0257] The variable magnification optical systems of Examples 1 to 20 maintain high optical performance by favorably correcting various aberrations in the entire magnification range, while being configured to have a small size and a low weight.

[0258] Next, an imaging apparatus according to the embodiment of the present disclosure will be described. FIGS. 43 and 44 illustrate external views of a camera 30 that is the imaging apparatus according to one embodiment of the present disclosure. FIG. 43 illustrates a perspective view of the camera 30 seen from a front surface side, and FIG. 44 illustrates a perspective view of the camera 30 seen from a rear surface side. The camera 30 is a so-called mirrorless type digital camera on which an interchangeable lens 20 can be attachably and detachably mounted. The interchangeable lens 20 is configured to include a variable magnification optical system 1 according to one embodiment of the present disclosure accommodated in a lens barrel.

[0259] The camera 30 comprises a camera body 31. A shutter button 32 and a power button 33 are provided on an upper surface of the camera body 31. In addition, an operating part 34, an operating part 35, and a display unit 36 are provided on a rear surface of the camera body 31. The display unit 36 can display a captured image and an image within an angle of view before being captured.

[0260] An imaging aperture on which light from an imaging target is incident is provided in a center portion of a front surface of the camera body 31. A mount 37 is provided at a position corresponding to the imaging aperture, and the interchangeable lens 20 is mounted on the camera body 31 through the mount 37.

[0261] An imaging element 38 is provided in the camera body 31. The imaging element 38 outputs an imaging signal corresponding to a subject image formed by the interchangeable lens 20. For example, a charge coupled device (CCD) or a complementary metal oxide semiconductor (CMOS) is used as the imaging element 38. A signal processing circuit (not illustrated), a recording medium (not illustrated), and the like are provided in the camera body 31. The signal processing circuit generates an image by processing the imaging signal output from the imaging element 38. The generated image is recorded on the recording medium. In the camera 30, a static image or a video can be captured by pressing the shutter button 32, and image data obtained by this capturing is recorded on the recording medium.

[0262] While the disclosed technology has been described above using the embodiment and the examples, the disclosed technology is not limited to the embodiment and the examples, and various modifications can be made. For example, the curvature radius, the surface spacing, the refractive index, the Abbe number, and the aspherical coefficient of each lens are not limited to the values shown in each example and may have other values.

[0263] In addition, the imaging apparatus according to the embodiment of the present disclosure is not limited to the above example and can have various aspects of, for example, a camera of a type other than a mirrorless type, a film camera, a video camera, and a security camera.

[0264] The following appendixes are further disclosed with respect to the embodiment and the examples described above.

Appendix 1

[0265] A variable magnification optical system consisting of, in order from an object side to an image side, a first lens group having a negative refractive power, a second lens group having a positive refractive power, and a subsequent group including one or more lens groups, in which during changing magnification, the first lens group moves, and spacings between all adjacent lens groups change, one lens group included in the subsequent group is a focusing lens group that moves along an optical axis during focusing, and in a case where a sum of a back focus of an entire system as an air conversion distance and a distance on the optical axis from a lens surface of the first lens group closest to the object side to a lens surface of the subsequent group closest to the image side in a state where an infinite distance object is focused on at a wide angle end is denoted by TLw, a focal length of the entire system in a state where the infinite distance object is focused on at a telephoto end is denoted by ft, a maximum half angle of view in the state where the infinite distance object is focused on at the telephoto end is denoted by ot, the back focus of the entire system as the air conversion distance in the state where the infinite distance object is focused on at the wide angle end is denoted by Bfw, a focal length of the entire system in the state where the infinite distance object is focused on at the wide angle end is denoted by fw, a refractive index with respect to a d line and an Abbe number based on the d line for any lens included in the first lens group are denoted by NG1L and vG1L, respectively, and a sum total of thicknesses of all lens groups on the optical axis is denoted by Dsum, Conditional Expressions (1), (2), (3), (4), and (5) are satisfied, which are represented by

[00063]$\begin{array}{cc}4.5<\mathrm{TLw}/\left(\mathrm{ft}\tan t\right)<8& \left(1\right)\end{array}$$\begin{array}{cc}0.4<\mathrm{Bfw}/\left(\mathrm{ft}\tan t\right)<3& \left(2\right)\end{array}$$\begin{array}{cc}0.9<\left(\mathrm{fw}\mathrm{TLw}\right)/{\mathrm{ft}}^2<3.2& \left(3\right)\end{array}$$\begin{array}{cc}1.6<\mathrm{NG}1L+0.01\mathrm{vG}1L<2.3& \left(4\right)\end{array}$$\begin{array}{cc}0.1<\mathrm{Dsum}/\left(\mathrm{TLw}-\mathrm{Bfw}\right)<0.8.& \left(5\right)\end{array}$

Appendix 2

[0266] The variable magnification optical system according to Appendix 1, in which Conditional Expression (1-1) is satisfied, which is represented by

[00064]$\begin{array}{cc}5.4<\mathrm{TLw}/\left(\mathrm{ft}\tan t\right)<7.& \left(1-1\right)\end{array}$

Appendix 3

[0267] The variable magnification optical system according to Appendix 1 or 2, in which Conditional Expression (2-1) is satisfied, which is represented by

[00065]$\begin{array}{cc}0.55<\mathrm{Bfw}/\left(\mathrm{ft}\tan t\right)<2.& \left(2-1\right)\end{array}$

Appendix 4

[0268] The variable magnification optical system according to any one of Appendixes 1 to 3, in which Conditional Expression (4-1) is satisfied, which is represented by

[00066]$\begin{array}{cc}1.82<\mathrm{NG}1L+0.01\mathrm{vG}1L<1.91.& \left(4-1\right)\end{array}$

Appendix 5

[0269] The variable magnification optical system according to any one of Appendixes 1 to 4, in which in a case where a thickness of the first lens group on the optical axis is denoted by dG1, and a focal length of the first lens group is denoted by f1, Conditional Expression (6) is satisfied, which is represented by

[00067]$\begin{array}{cc}0.4<\mathrm{dG}1/.Math.f1.Math.<2.& \left(6\right)\end{array}$

Appendix 6

[0270] The variable magnification optical system according to Appendix Note 5, in which Conditional Expression (6-1) is satisfied, which is represented by

[00068]$\begin{array}{cc}0.55<\mathrm{dG}1/.Math.f1.Math.<1.65.& \left(6-1\right)\end{array}$

Appendix 7

[0271] The variable magnification optical system according to Appendix 5, in which Conditional Expression (6-2) is satisfied, which is represented by

[00069]$\begin{array}{cc}0.75<\mathrm{dG}1/.Math.f1.Math.<1.35.& \left(6-2\right)\end{array}$

Appendix 8

[0272] The variable magnification optical system according to any one of Appendixes 1 to 7, in which the first lens group includes an L1nm lens that is a non-cemented negative meniscus lens having a convex surface toward the object side, an L1n lens that is a non-cemented negative lens having a concave surface toward the image side, and an L1p lens that is a positive lens, the L1n lens is disposed adjacent to the image side of the L1nm lens, and the L1p lens is disposed closer to the image side than the L1n lens.

Appendix 9

[0273] The variable magnification optical system according to Appendix 8, in which in a case where a refractive index with respect to a d line and an Abbe number based on the d line for a negative lens disposed between the L1nm lens and the L1p lens are denoted by NG1n and vG1n, respectively, the variable magnification optical system includes a negative lens satisfying Conditional Expression (7) represented by

[00070]$\begin{array}{cc}1.7<\mathrm{NG}1n+0.01\mathrm{vG}1n<2.16,& \left(7\right)\end{array}$ [0274] the negative lens satisfying Conditional Expression (7) is the L1n lens or a negative lens disposed adjacent to the image side of the L1n lens.

Appendix 10

[0275] The variable magnification optical system according to Appendix 9, in which the negative lens satisfying Conditional Expression (7) satisfies Conditional Expression (7-1) represented by

[00071]$\begin{array}{cc}1.74<\mathrm{NG}1n+0.01G1n<2.14.& \left(7-1\right)\end{array}$

Appendix 11

[0276] The variable magnification optical system according to any one of Appendixes 8 to 10, in which in a case where a distance on the optical axis between the L1nm lens and the L1n lens is denoted by dm, and a thickness of the first lens group on the optical axis is denoted by dG1, Conditional Expression (8) is satisfied, which is represented by

[00072]$\begin{array}{cc}0.01<dm/\mathrm{dG}1<0.9.& \left(8\right)\end{array}$

Appendix 12

[0277] The variable magnification optical system according to any one of Appendixes 8 to 11, in which a surface of the L1n lens on the object side is an aspherical surface in which a refractive power at a position of a maximum effective diameter is shifted in a positive direction compared to a refractive power in a paraxial region.

Appendix 13

[0278] The variable magnification optical system according to Appendix 12, in which the surface of the L1n lens on the object side has a concave shape in the paraxial region and has a convex shape in an edge part including the position of the maximum effective diameter.

Appendix 14

[0279] The variable magnification optical system according to any one of Appendixes 1 to 13, in which in a case where a focal length of the second lens group is denoted by f2, and a focal length of the first lens group is denoted by f1, Conditional Expression (9) is satisfied, which is represented by

[00073]$\begin{array}{cc}0.3<f2/.Math.f1.Math.<5.& \left(9\right)\end{array}$

Appendix 15

[0280] The variable magnification optical system according to Appendix 14, in which Conditional Expression (9-1) is satisfied, which is represented by

[00074]$\begin{array}{cc}0.65<f2/.Math.f1.Math.<3.& \left(9-1\right)\end{array}$

Appendix 16

[0281] The variable magnification optical system according to any one of Appendixes 1 to 15, in which the first lens group includes a positive lens having a convex surface toward the object side, closest to the object side.

Appendix 17

[0282] The variable magnification optical system according to any one of Appendixes 1 to 16, in which the first lens group consists of four or less lenses.

Appendix 18

[0283] The variable magnification optical system according to any one of Appendixes 1 to 17, in which in a case where a focal length of the first lens group is denoted by f1, Conditional Expression (10) is satisfied, which is represented by

[00075]$\begin{array}{cc}0.45<\mathrm{fw}/.Math.f1.Math.<2.& \left(10\right)\end{array}$

Appendix 19

[0284] The variable magnification optical system according to any one of Appendixes 1 to 18, in which the first lens group includes an L1nm lens that is a non-cemented negative meniscus lens having a convex surface toward the object side, and in a case where a paraxial curvature radius of a surface of the L1nm lens on the object side is denoted by Rf, and a paraxial curvature radius of a surface of the L1nm lens on the image side is denoted by Rr, Conditional Expression (11) is satisfied, which is represented by

[00076]$\begin{array}{cc}1<\left(Rf+\mathrm{Rr}\right)/\left(\mathrm{Rf}-Rr\right)<7.& \left(11\right)\end{array}$

Appendix 20

[0285] The variable magnification optical system according to any one of Appendixes 1 to 19, in which a vibration-proof group that moves in a direction intersecting with the optical axis during image shake correction is disposed closer to the image side than the first lens group, and in a case where a focal length of the vibration-proof group is denoted by fois, Conditional Expression (12) is satisfied, which is represented by

[00077]$\begin{array}{cc}0.3<ft/.Math.\mathrm{fois}.Math.<4.& \left(12\right)\end{array}$

Appendix 21

[0286] The variable magnification optical system according to any one of Appendixes 1 to 20, in which in a case where a focal length of the focusing lens group is denoted by ffoc, Conditional Expression (13) is satisfied, which is represented by

[00078]$\begin{array}{cc}0.3<ft/.Math.\mathrm{ffoc}.Math.<3.& \left(13\right)\end{array}$

Appendix 22

[0287] The variable magnification optical system according to any one of Appendixes 1 to 21, in which an Lr lens is disposed closer to the image side than the focusing lens group, and in a case where a refractive index with respect to a d line and an Abbe number based on the d line for the Lr lens are denoted by Nr and vr, respectively, Conditional Expression (14) is satisfied, which is represented by

[00079]$\begin{array}{cc}1.7<Nr+0.01r<2\text{.16}.& \left(14\right)\end{array}$

Appendix 23

[0288] An imaging apparatus comprising the variable magnification optical system according to any one of Appendixes 1 to 22.