Zoom lens and imaging apparatus
11774733 · 2023-10-03
Assignee
Inventors
Cpc classification
H04N23/55
ELECTRICITY
International classification
Abstract
The zoom lens includes, as lens groups, in order from the object side, only a first lens group having a positive power, a second lens group having a negative power, a third lens group having a positive power, a fourth lens group having a negative power, and a fifth lens group having a positive power. An aperture stop is disposed between a lens surface closest to the image side in the second lens group and a lens surface closest to the object side in the fourth lens group. During zooming, at least the first lens group, the second lens group, the third lens group, and the fourth lens group move. The first lens group consists of a negative lens, a positive lens, and a positive lens in order from the object side. The zoom lens satisfies predetermined conditional expressions.
Claims
1. A zoom lens comprising, as lens groups, only five lens groups consisting of, in order from an object side to an image side: a first lens group that has a positive refractive power; a second lens group that has a negative refractive power; a third lens group that has a positive refractive power; a fourth lens group that has a negative refractive power; and a fifth lens group that has a positive refractive power, wherein an aperture stop is disposed between a lens surface closest to the image side in the second lens group and a lens surface closest to the object side in the fourth lens group, wherein during zooming, by changing all distances between lens groups adjacent to each other in a direction of an optical axis, at least the first lens group, the second lens group, the third lens group, and the fourth lens group move along the optical axis, wherein the first lens group consists of, in order from the object side to the image side, a first lens having a negative refractive power, a second lens having a positive refractive power, and a third lens having a positive refractive power, wherein the third lens group consists of, in order from the object side to the image side, a third lens group front group having a positive refractive power and a third lens group rear group having a positive refractive power, wherein only the third lens group rear group moves in a direction intersecting with the optical axis for image blur correction, wherein a focal length of the first lens group is f1, a focal length of the fifth lens group is f5, a focal length of the fourth lens group is f4, a refractive index of the second lens at a d line is Nd2, a focal length of the third lens group rear group is f3R, a focal length of the third lens group front group is f3F, a lateral magnification of the third lens group rear group in a state where the object at infinity is in focus at a telephoto end is β3Rt, and a combined lateral magnification of the fourth lens group and the fifth lens group in the state where the object at infinity is in focus at the telephoto end is β45t, Conditional Expressions (1), (2), (3), (5), and (6) are satisfied, which are represented by
0.4<f1/f5<2 (1),
−0.7<f4/f5<−0.1 (2),
1.6<Nd2<2 (3),
0.1<f3R/f3F<0.9 (5) and
2<(1−β3Rt)×β45t<5 (6).
2. The zoom lens according to claim 1, wherein the third lens group rear group consists of one positive lens.
3. The zoom lens according to claim 2, wherein an Abbe number of the at least one positive lens in the third lens group rear group based on the d line is νd3Rp, Conditional Expression (7) is satisfied, which is represented by
65<νd3Rp<105 (7).
4. The zoom lens according to claim 3, wherein only the fourth lens group moves along the optical axis during focusing from an object at infinity to a close-range object.
5. The zoom lens according to claim 4, wherein a lateral magnification of the fourth lens group in a state where the object at infinity is in focus at a telephoto end is β4t, and a lateral magnification of the fifth lens group in the state where the object at infinity is in focus at the telephoto end is β5t, Conditional Expression (8) is satisfied, which is represented by
−7<(1−β4t.sup.2)×β5t.sup.2<−2.6 (8).
6. The zoom lens according to claim 5, wherein an average of the refractive index of the second lens at the d line and a refractive index of the third lens at the d line is NdG1p, Conditional Expression (13) is satisfied, which is represented by
1.63<NdG1p<1.9 (13).
7. The zoom lens according to claim 6, wherein a focal length of the second lens group is f2, and a focal length of the third lens group is f3, Conditional Expression (14) is satisfied, which is represented by
−1.3<f2/f3<−0.4 (14).
8. An imaging apparatus comprising the zoom lens according to claim 7.
9. A zoom lens comprising, as lens groups, only five lens groups consisting of, in order from an object side to an image side: a first lens group that has a positive refractive power; a second lens group that has a negative refractive power; a third lens group that has a positive refractive power; a fourth lens group that has a negative refractive power; and a fifth lens group that has a positive refractive power, wherein an aperture stop is disposed between a lens surface closest to the image side in the second lens group and a lens surface closest to the object side in the fourth lens group, wherein during zooming, by changing all distances between lens groups adjacent to each other in a direction of an optical axis, at least the first lens group, the second lens group, the third lens group, and the fourth lens group move along the optical axis, wherein the first lens group consists of, in order from the object side to the image side, a first lens having a negative refractive power, a second lens having a positive refractive power, and a third lens having a positive refractive power, wherein the entire third lens group or a part of the third lens group moves in a direction intersecting with the optical axis for image blur correction, wherein only the fourth lens group moves along the optical axis during focusing from an object at infinity to a close-range object, wherein a focal length of the first lens group is f1, a focal length of the fifth lens group is f5, a focal length of the fourth lens group is f4, a refractive index of the second lens at a d line is Nd2, a lateral magnification of the fourth lens group in a state where the object at infinity is in focus at a telephoto end is β4t, and a lateral magnification of the fifth lens group in the state where the object at infinity is in focus at the telephoto end is β5t, Conditional Expressions (1), (2), (3), and (8) are satisfied, which are represented by
0.4<f1/f5<2 (1),
−0.7<f4/f5<−0.1 (2),
1.6<Nd2<2 (3), and
−7<(1−β4t.sup.2)×β5t.sup.2<−2.6 (8).
10. The zoom lens according to claim 9, wherein the third lens group consists of, in order from the object side to the image side, a third lens group front group having a positive refractive power and a third lens group rear group having a positive refractive power, and wherein only the third lens group rear group moves in a direction intersecting with the optical axis for image blur correction.
11. The zoom lens according to claim 10, wherein a focal length of the third lens group rear group is f3R, and a focal length of the third lens group front group is f3F, Conditional Expression (5) is satisfied, which is represented by
0.1<f3R/f3F<0.9 (5).
12. The zoom lens according to claim 11, wherein a lateral magnification of the third lens group rear group in a state where the object at infinity is in focus at a telephoto end is β3Rt, and a combined lateral magnification of the fourth lens group and the fifth lens group in the state where the object at infinity is in focus at the telephoto end is β45t, Conditional Expression (6) is satisfied, which is represented by
2<(1−β3Rt)×β45t<5 (6).
13. The zoom lens according to claim 12, wherein the third lens group rear group consists of one positive lens.
14. The zoom lens according to claim 13, wherein an Abbe number of the at least one positive lens in the third lens group rear group based on the d line is νd3Rp, Conditional Expression (7) is satisfied, which is represented by
65<νd3Rp<105 (7).
15. The zoom lens according to claim 14, wherein an average of the refractive index of the second lens at the d line and a refractive index of the third lens at the d line is NdG1p, Conditional Expression (13) is satisfied, which is represented by
1.63<NdG1p<1.9 (13).
16. An imaging apparatus comprising the zoom lens according to claim 15.
Description
BRIEF DESCRIPTION OF THE DRAWINGS
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DESCRIPTION OF THE PREFERRED EMBODIMENTS
(37) Hereinafter, embodiments of the technology of the present disclosure will be described in detail with reference to the drawings.
(38)
(39) The zoom lens of the present disclosure comprises, as lens groups, only five lens groups consisting of, in order from an object side to an image side along the optical axis Z: a first lens group G1 that has a positive refractive power; a second lens group G2 that has a negative refractive power; a third lens group G3 that has a positive refractive power; a fourth lens group G4 that has a negative refractive power; and a fifth lens group G5 that has a positive refractive power. In the zoom lens of the present disclosure, an aperture stop St is disposed between a lens surface closest to the image side in the second lens group G2 and a lens surface closest to the object side in the fourth lens group G4. However, the aperture stop St shown in
(40) The zoom lens of the present disclosure employs arrangement of positive, negative, positive, and negative refractive powers in order from the object side to the image side. Since the refractive power arrangement of the lens system is symmetric with respect to the third lens group G3, it is possible to satisfactorily correct distortion and lateral chromatic aberration. Thereby, it is possible to ensure a wide angle of view at the wide-angle end.
(41) In the zoom lens of the present disclosure, during zooming, by changing all the distances between lens groups adjacent to each other in a direction of the optical axis, at least the first lens group G1, the second lens group G2, the third lens group G3, and the fourth lens group G4 move along the optical axis Z. In the example shown in
(42) The first lens group G1 consists of, in order from the object side to the image side, three lenses including a first lens L11 having a negative refractive power, a second lens L12 having a positive refractive power, and a third lens L13 having a positive refractive power. Since the first lens group G1 has the above-mentioned three-lens configuration, it becomes easy to satisfactorily correct spherical aberration and longitudinal chromatic aberration at the telephoto end, and field curvature and distortion at the wide-angle end. There is an advantage in achieving an increase in zoom ratio and an increase in angle of view at the wide-angle end. The first lens L11 and the second lens L12 may be cemented with each other. In such a configuration, there is a greater advantage in correcting longitudinal chromatic aberration at the telephoto end.
(43) For example, in the zoom lens of the example shown in
(44) The second lens group G2 can be configured to consist of, for example, three negative lenses and one positive lens. In such a configuration, the negative refractive power of the second lens group G2 can be shared by the three negative lenses, and thus, there is an advantage in correcting coma aberration and astigmatism. In addition, the second lens group G2 includes a negative lens and a positive lens, and thus it becomes easy to correct chromatic aberration. More specifically, the second lens group G2 may be configured to consist of a negative lens, a negative lens, a positive lens, and a negative lens in order from the object side to the image side.
(45) The third lens group G3 is preferably configured to have an image blur correction function. It is preferable that the entire third lens group G3 or a part of the third lens group G3 moves in a direction intersecting with the optical axis Z for image blur correction. That is, it is preferable that the entire third lens group G3 or a part of the third lens group G3 moves in a direction intersecting with the optical axis Z during image blur correction. Hereinafter, a lens group that moves during image blur correction will be referred to as a vibration reduction lens group.
(46) In order to reduce the size of the zoom lens having arrangement of positive, negative, positive, and negative refractive powers in order from the object side to the image side, there is an advantage in increasing the positive refractive power of the third lens group G3. In such a configuration, by providing the vibration reduction lens group in the third lens group G3, it becomes easy to ensure the refractive power of the vibration reduction lens group. As a result, it is possible to reduce the amount of movement of the vibration reduction lens group during image blur correction. Further, since the aperture stop St is disposed in the above range, the off-axis ray height in the third lens group G3 becomes low. By providing the vibration reduction lens group in the third lens group G3 having a low off-axis ray height, it is possible to reduce the diameter of the vibration reduction lens group. Thereby, it is possible to reduce the load on the driving system that drives the vibration reduction lens group, and thereby this configuration is able to contribute to reduction in size of the apparatus. In order to reduce the load on the driving system of the vibration reduction lens group, it is preferable that the vibration reduction lens group is only the entire third lens group G3 or only a part of the third lens group G3.
(47) In a case where the vibration reduction lens group is disposed in the third lens group G3, the third lens group G3 consists of a third lens group front group G3F having a positive refractive power and a third lens group rear group G3R having a positive refractive power in order from the object side to the image side. Thus, it is preferable that only the third lens group rear group G3R moves in a direction intersecting with the optical axis Z for image blur correction. With the above-mentioned configuration, the rays converged through the positive refractive power of the third lens group front group G3F can be made incident on the third lens group rear group G3R which is the vibration reduction lens group. Thus, it is possible to keep the diameter of the vibration reduction lens group small.
(48) It should be noted that in the zoom lens having arrangement of positive, negative, positive and negative refractive powers in order from the object side to the image side, the third lens group G3 mainly takes charge of the convergence effect of the whole system. Thus, in order to achieve reduction in size, it is necessary to increase the refractive power of the three lens group G3. In a case where the refractive powers of the third lens group front group G3F and the third lens group rear group G3R are different from each other, it is difficult to ensure the refractive power of the third lens group G3 as a whole. Thus, this configuration is not preferable. Alternatively, the refractive power of the lens group on the image side from the third lens group G3 has to be increased. Thus, it is difficult to satisfactorily correct various aberrations such as spherical aberration. Thus, this configuration is not preferable. From the above situations, it is preferable to make the refractive powers of both the third lens group front group G3F and the third lens group rear group G3R positive.
(49) In a case where the third lens group G3 consists of the above-mentioned third lens group front group G3F and the third lens group rear group G3R and only the third lens group rear group G3R is used as the vibration reduction lens group, it is preferable that the third lens group rear group G3R consists of one positive lens. By composing the third lens group rear group G3R, which is a vibration reduction lens group, of a single lens, the vibration reduction lens group can be reduced in size and weight, and the load on the driving system of the vibration reduction lens group can be reduced. As a result, the actuator can be reduced in size, and thus the entire apparatus can be reduced in size.
(50) It is preferable that the third lens group front group G3F consists of two positive lenses and one negative lens. By forming the third lens group front group G3F configured as described above, it becomes easy to satisfactorily correct spherical aberration and chromatic aberration, even in a case where the refractive power of the third lens group front group G3F is increased for reduction in size, or even in a case where the refractive power of the third lens group front group G3F is increased in order to reduce the ray height of rays incident on the third lens group rear group G3R which is a vibration reduction lens group. Further, by not increasing the number of lenses in the third lens group front group G3F more than that in the above-mentioned configuration, there is an advantage in achieving reduction in size of the whole system.
(51) In the example shown in
(52) It is preferable that the fourth lens group G4 consists of one positive lens and one negative lens. In such a case, chromatic aberration generated in the fourth lens group G4 can be corrected satisfactorily. In addition, since the fourth lens group G4 consists of only two lenses, there is an advantage in achieving reduction in the size of the whole system. In a case where the fourth lens group G4 consists of only the two lenses, the two lenses may be cemented to each other, and there is a greater advantage in achieving reduction in size in the case of cementing the lenses.
(53) It is preferable that the fourth lens group G4 is configured to perform focusing by moving along the optical axis Z. That is, it is preferable that only the fourth lens group G4 of the five lens groups moves along the optical axis Z during focusing from the object at infinity to the close-range object. Hereinafter, the lens group that moves during focusing is referred to as a focusing lens group. In the example shown in
(54) The fourth lens group G4 is a group disposed between two lens groups, such as a third lens group G3 and a fifth lens group G5, having positive refractive powers, and therefore it becomes easy to reduce the outer lens diameter. By forming the fourth lens group G4 as a focusing lens group, it becomes easy to achieve reduction in size and weight of the focusing lens group. As a result, there is an advantage in achieving high-speed autofocusing, and it is possible to reduce the load on the driving system of the focusing lens group.
(55) For example, the fifth lens group G5 can be configured to consist of two positive lenses and one negative lens. In such as case, there is an advantage in satisfactorily correcting lateral chromatic aberration and field curvature. In the above case where the fifth lens group G5 consists of three lenses, the fifth lens group G5 may be configured to consist of, in order from the object side to the image side, a cemented lens, in which a positive lens and a negative lens are cemented in order from the object side, and a single lens which has a positive refractive power.
(56) Alternatively, the fifth lens group G5 can be configured to consist of one positive lens. In such a case, there is an advantage in reduction in size.
(57) The fifth lens group G5 may be configured to remain stationary with respect to the image plane Sim during zooming. By adopting a configuration in which the lens group disposed to be closest to the image side remains stationary during zooming, intrusion of dust and the like can be reduced.
(58) Alternatively, the fifth lens group G5 may be configured to move along the optical axis Z during zooming. In such a case, the degree of freedom of aberration correction increases, and the optical performance can be further improved.
(59) Next, a configuration relating to Conditional Expressions will be described. In the zoom lens of the present disclosure, assuming that a focal length of the first lens group G1 is f1 and a focal length of the fifth lens group G5 is f5, it is preferable to satisfy Conditional Expression (1). By not allowing the result of Conditional Expression (1) to be equal to or less than the lower limit value, the refractive power of the first lens group G1 can be prevented from becoming excessively strong. Thus, in particular, it becomes easy to satisfactorily correct the spherical aberration and the longitudinal chromatic aberration at the telephoto end. Alternatively, by not allowing the result of Conditional Expression (1) to be equal to or less than the lower limit value, the refractive power of the fifth lens group G5 can be prevented from becoming excessively weak. Thus, it is possible to prevent the incident angle of the off-axis principal rays incident on the imaging element disposed on the image plane Sim from becoming excessively large. As a result, it is possible to reduce shading. By not allowing the result of Conditional Expression (1) to be equal to or greater than the upper limit value, the refractive power of the first lens group G1 can be prevented from becoming excessively weak. Thus, it is possible to minimize the amount of movement of the first lens group G1 during zooming. As a result, it is possible to reduce the size of the lens system. Alternatively, by not allowing the result of Conditional Expression (1) to be equal to or greater than the upper limit value, the refractive power of the fifth lens group G5 can be prevented from becoming excessively strong. Thus, it becomes easy to satisfactorily correct field curvature and distortion at the wide-angle end. In addition, in a case of a configuration in which Conditional Expression (1-1) is satisfied, it is possible to obtain more favorable characteristics. In a case of a configuration in which Conditional Expression (1-2) is satisfied, it is possible to obtain further more favorable characteristics.
0.4<f1/f5<2 (1)
0.45<f1/f5<1.8 (1-1)
0.5<f1/f5<1.6 (1-2)
(60) In the zoom lens of the present disclosure, assuming that a focal length of the fourth lens group G4 is f4 and a focal length of the fifth lens group G5 is f5, Conditional Expression (2) is satisfied. By not allowing the result of Conditional Expression (2) to be equal to or less than the lower limit value, the refractive power of the fourth lens group G4 can be prevented from becoming excessively weaker than the refractive power of the fifth lens group G5. Thus, it becomes easy to suppress fluctuation in chromatic aberration during zooming while satisfactorily correcting astigmatism and field curvature. By not allowing the result of Conditional Expression (2) to be equal to or greater than the upper limit value, the refractive power of the fourth lens group G4 can be prevented from becoming excessively stronger than the refractive power of the fifth lens group G5. Thus, it becomes easy to satisfactorily correct spherical aberration. In addition, in a case of a configuration in which Conditional Expression (2-1) is satisfied, it is possible to obtain more favorable characteristics. In a case of a configuration in which Conditional Expression (2-2) is satisfied, it is possible to obtain further more favorable characteristics.
−0.7<f4/f5<−0.1 (2)
−0.64<f4/f5<−0.15 (2-1)
−0.58<f4/f5<−0.2 (2-2)
(61) In the zoom lens of the present disclosure, assuming that a refractive index of the second lens L12 at the d line is Nd2, Conditional Expression (3) is satisfied. By not allowing the result of Conditional Expression (3) to be equal to or less than the lower limit value, it becomes easy to achieve reduction in size of the lens system. By not allowing the result of Conditional Expression (3) to be equal to or greater than the upper limit value, it becomes easy to satisfactorily correct longitudinal chromatic aberration. In addition, in a case of a configuration in which Conditional Expression (3-1) is satisfied, it is possible to obtain more favorable characteristics. In a case of a configuration in which Conditional Expression (3-2) is satisfied, it is possible to obtain further more favorable characteristics.
1.6<Nd2<2 (3)
1.62<Nd2<1.96 (3-1)
1.63<Nd2<1.93 (3-2)
(62) It is preferable that the zoom lens of the present disclosure satisfies the following conditional expressions. Assuming that a back focal length at an air conversion distance in a state where an object at infinity is in focus at a wide-angle end is BFw, and a sum of a distance on the optical axis from a lens surface closest to the object side to a lens surface closest to the image side and the back focal length at the air conversion distance in the state where the object at infinity is in focus at the wide-angle end is TLw, it is preferable to satisfy Conditional Expression (4). By not allowing the result of Conditional Expression (4) to be equal to or less than the lower limit value, it becomes easy to ensure the back focal length necessary for the interchangeable lens camera or the like. By not allowing the result of Conditional Expression (4) to be equal to or greater than the upper limit value, the back focal length can be prevented from becoming excessively long, and a range where a lens can be disposed can be set to be increased in the total optical length. Therefore, it is possible to ensure the range of movement of each lens group during zooming. Thereby, the refractive power of each lens group can be prevented from becoming excessively strong. Thus, it becomes easy to ensure favorable optical performance by suppressing various aberrations. In addition, in a case of a configuration in which Conditional Expression (4-1) is satisfied, it is possible to obtain more favorable characteristics.
0.07<BFw/TLw<0.25 (4)
0.1<BFw/TLw<0.23 (4-1)
(63) The third lens group G3 consists of, in order from the object side to the image side, a third lens group front group G3F having a positive refractive power and a third lens group rear group G3R having a positive refractive power, and only the third lens group rear group G3R is the vibration reduction lens group. In such a configuration, the following is preferable. That is, assuming that a focal length of the third lens group rear group G3R is f3R and a focal length of the third lens group front group G3F is f3F, Conditional Expression (5) is satisfied. By not allowing the result of Conditional Expression (5) to be equal to or less than the lower limit value, the refractive power of the third lens group rear group G3R can be prevented from becoming excessively strong. By not allowing the result of Conditional Expression (5) to be equal to or greater than the upper limit value, the refractive power of the third lens group front group G3F can be prevented from becoming excessively strong. By setting f3R/f3F within the range of Conditional Expression (5), the positive refractive power of the third lens group G3 can be appropriately distributed to the third lens group front group G3F and the third lens group rear group G3R. Thus, it is possible to reduce the difference in the spherical aberration curve due to the wavelength during zooming. Further, it is possible to suppress the sensitivity of deterioration in performance due to assembly errors such as relative tilt between the third lens group front group G3F and the third lens group rear group G3R. Furthermore, the sensitivity of image blur correction can be set appropriately, and it is possible to satisfactorily suppress fluctuation in aberrations during image blur correction. In addition, in a case of a configuration in which Conditional Expression (5-1) is satisfied, it is possible to obtain more favorable characteristics.
0.1<f3R/f3F<0.9 (5)
0.15<f3R/f3F<0.8 (5-1)
(64) The third lens group G3 consists of, in order from the object side to the image side, a third lens group front group G3F having a positive refractive power and a third lens group rear group G3R having a positive refractive power, and only the third lens group rear group G3R is the vibration reduction lens group. In such a configuration, the following is preferable. That is, assuming that a lateral magnification of the third lens group rear group G3R in a state where an object at infinity is in focus at a telephoto end is β3Rt, and a combined lateral magnification of the fourth lens group G4 and the fifth lens group G5 in the state where the object at infinity is in focus at the telephoto end is β45t, Conditional Expression (6) is satisfied. (1−β3Rt)×β45t of Conditional Expression (6) indicates the amount of image movement on the image plane Sim, that is, the vibration reduction sensitivity with respect to the amount of movement of the vibration reduction lens group in the direction perpendicular to the optical axis Z. Conditional Expression (6) is an expression indicating a preferable range of the vibration reduction sensitivity. By not allowing the result of Conditional Expression (6) to be equal to or less than the lower limit value, it is possible to reduce the amount of movement of the vibration reduction lens group during image blur correction. Thereby, by suppressing an increase in the diameter of the vibration reduction lens group, it is possible to reduce the load on the driving system that drives the vibration reduction lens group. By not allowing the result of Conditional Expression (6) to be equal to or greater than the upper limit value, it is possible to suppress the sensitivity of deterioration in performance due to assembly errors such as relative tilt between the vibration reduction lens group and the lens group disposed on the object side and the image side. Further, in a case where the vibration reduction sensitivity becomes excessively high, a problem arises in that it may be difficult to stably perform image blur correction. However, by not allowing the result of Conditional Expression (6) to be equal to or greater than the upper limit value, such a problem can be prevented. In addition, in a case of a configuration in which Conditional Expression (6-1) is satisfied, it is possible to obtain more favorable characteristics.
2<(1−β3Rt)×β45t<5 (6)
2.3<(1−P3Rt)×β45t<4.5 (6-1)
(65) The third lens group G3 consists of, in order from the object side to the image side, a third lens group front group G3F having a positive refractive power and a third lens group rear group G3R having a positive refractive power, and only the third lens group rear group G3R is the vibration reduction lens group. In such a configuration, the following is preferable. That is, assuming that Abbe number of at least one positive lens included in the third lens group rear group G3R based on the d line is νd3Rp, Conditional Expression (7) is satisfied. By not allowing the result of Conditional Expression (7) to be equal to or less than the lower limit value, it is possible to suppress fluctuation in chromatic aberration during image blur correction. By not allowing the result of Conditional Expression (7) to be equal to or greater than the upper limit value, the refractive index of the material composing the positive lens can be prevented from becoming excessively low, and the lens can be made thinner. Therefore, this configuration is able to contribute to reduction in size. In addition, in a case of a configuration in which Conditional Expression (7-1) is satisfied, it is possible to obtain more favorable characteristics. In a case of a configuration in which Conditional Expression (7-2) is satisfied, it is possible to obtain further more favorable characteristics.
65<νd3Rp<105 (7)
72<νd3Rp>100 (7-1)
80<νd3Rp>98 (7-2)
(66) In a configuration in which only the fourth lens group G4 is used as the focusing lens group, assuming that a lateral magnification of the fourth lens group G4 in a state where an object at infinity is in focus at a telephoto end is β4t, and a lateral magnification of the fifth lens group G5 in the state where the object at infinity is in focus at the telephoto end is β5t, it is preferable to satisfy Conditional Expression (8). (1−β4t.sup.2)×β5t.sup.2 of Conditional Expression (8) indicates the amount of focus shift, that is, the focus sensitivity with respect to the amount of movement of the fourth lens group G4 in the direction of the optical axis, which is the focusing lens group, at the telephoto end. Conditional Expression (8) is an expression indicating a preferable range of the focus sensitivity. By not allowing the result of Conditional Expression (8) to be equal to or less than the lower limit value, it is possible to suppress the sensitivity of deterioration in performance to the eccentric error of the fourth lens group G4. Further, by not allowing the result of Conditional Expression (8) to be equal to or less than the lower limit value, the refractive power of the fourth lens group G4 is easily prevented from becoming excessively strong. Thus, there is an advantage in satisfactorily correcting spherical aberration. By not allowing the result of Conditional Expression (8) to be equal to or greater than the upper limit value, the amount of movement of the fourth lens group G4 during focusing can be reduced, and the speed of autofocusing can be increased or the shortest imaging distance can be reduced. In addition, in a case of a configuration in which Conditional Expression (8-1) is satisfied, it is possible to obtain more favorable characteristics. In a case of a configuration in which Conditional Expression (8-2) is satisfied, it is possible to obtain further more favorable characteristics.
−7<(1−β4t.sup.2)×β5t.sup.2<−2.6 (8)
−6.5<(1−β4t.sup.2)×β5t.sup.2<−2.8 (8-1)
−6.2<(1−β4t.sup.2)×β5t.sup.2<−3 (8-2)
(67) In a configuration in which the fourth lens group G4 consists of one positive lens and one negative lens, assuming that an Abbe number of the negative lens of the fourth lens group G4 based on the d line is νd4n, and an Abbe number of the positive lens of the fourth lens group G4 based on the d line is νd4p, it is preferable to satisfy Conditional Expression (9). By not allowing the result of Conditional Expression (9) to be equal to or less than the lower limit value, the difference between the dispersion of the positive lens and the dispersion of the negative lens composing the fourth lens group G4 is prevented from becoming excessively small. As a result, it is possible to satisfactorily correct chromatic aberration, particularly, lateral chromatic aberration. By not allowing the result of Conditional Expression (9) to be equal to or greater than the upper limit value, the refractive index of the material used for the negative lens of the fourth lens group G4 can be prevented from becoming lower. Therefore, there is an advantage in satisfactorily correcting field curvature. In addition, in a case of a configuration in which Conditional Expression (9-1) is satisfied, it is possible to obtain more favorable characteristics.
5<νd4n−νd4p<26 (9)
7<νd4n−νd4p<24 (9-1)
(68) Assuming that a sum of the distance on the optical axis from the lens surface closest to the object side to the lens surface closest to the image side and the back focal length at the air conversion distance in a state where an object at infinity is in focus at a wide-angle end is TLw, and a maximum image height is Y, it is preferable to satisfy Conditional Expression (10). For example, the maximum image height Y is shown in
6<TLw/|Y|<8.6 (10)
6.2<TLw/|Y|<8 (10-1)
6.4<TLw/|Y|<7.6 (10-2)
(69) Assuming that a distance on the optical axis between the fourth lens group G4 and the fifth lens group G5 in a state where an object at infinity is in focus at a telephoto end is D45t, and a distance on the optical axis between the fourth lens group G4 and the fifth lens group G5 in the state where the object at infinity is in focus at the wide-angle end is D45w, it is preferable to satisfy Conditional Expression (11). By not allowing the result of Conditional Expression (11) to be equal to or less than the lower limit value, it is possible to satisfactorily suppress fluctuation in field curvature during zooming. By not allowing the result of Conditional Expression (11) to be equal to or greater than the upper limit value, it is possible to reduce fluctuation in chromatic aberration during zooming. In addition, in a case of a configuration in which Conditional Expression (11-1) is satisfied, it is possible to obtain more favorable characteristics.
2<D45t/D45w<13 (11)
3<D45t/D45w<12 (11-1)
(70) Assuming that a back focal length at an air conversion distance in a state where an object at infinity is in focus at a wide-angle end is BFw, a focal length of the zoom lens in the state where the object at infinity is in focus at the wide-angle end is fw, and a maximum half angle of view in the state where the object at infinity is in focus at the wide-angle end is ωw, it is preferable to satisfy Conditional Expression (12). For example,
0.5<BFw/(fw×tan|ωw|)<1.6 (12)
0.6<BFw/(fw×tan|ωw|)<1.5 (12-1)
0.7<BFw/(fw×tan|ωw|)<1.4 (12-2)
(71) Assuming that an average of a refractive index of the second lens L12 at the d line and a refractive index of the third lens L13 at the d line in the first lens group G1 is NdG1p, it is preferable to satisfy Conditional Expression (12). By not allowing the result of Conditional Expression (12) to be equal to or less than the lower limit value, it becomes easy to achieve reduction in size of the lens system. By not allowing the result of Conditional Expression (13) to be equal to or greater than the upper limit value, it becomes easy to satisfactorily correct longitudinal chromatic aberration. In addition, in a case of a configuration in which Conditional Expression (13-1) is satisfied, it is possible to obtain more favorable characteristics.
1.63<NdG1p<1.9 (13)
1.64<NdG1p<1.85 (13-1)
(72) Assuming that a focal length of the second lens group G2 is f2, and a focal length of the third lens group G3 is f3, it is preferable to satisfy Conditional Expression (14). By not allowing the result of Conditional Expression (14) to be equal to or less than the lower limit value, the amount of movement of the second lens group G2 during zooming can be reduced, or the second lens group G2 can be formed to have a strong zooming effect. By not allowing the result of Conditional Expression (14) to be equal to or greater than the upper limit value, in particular, it becomes easy to satisfactorily correct lateral chromatic aberration at the wide-angle end. In addition, in a case of a configuration in which Conditional Expression (14-1) is satisfied, it is possible to obtain more favorable characteristics.
−1.3<f2/f3<−0.4 (14)
−1.1<f2/f3<−0.5 (14-1)
(73) Assuming that a focal length of the first lens group G1 is f1, and a focal length of the second lens group G2 is f2, it is preferable to satisfy Conditional Expression (15). By not allowing the result of Conditional Expression (15) to be equal to or less than the lower limit value, the amount of movement of the first lens group G1 during zooming and the effective diameter of the lens closest to the object side are reduced. As a result, it becomes easy to achieve reduction in size of the whole system. By not allowing the result of Conditional Expression (15) to be equal to or greater than the upper limit value, it becomes easy to satisfactorily correct the spherical aberration and the longitudinal chromatic aberration at the telephoto end. In addition, in a case of a configuration in which Conditional Expression (15-1) is satisfied, it is possible to obtain more favorable characteristics. In a case of a configuration in which Conditional Expression (15-2) is satisfied, it is possible to obtain further more favorable characteristics.
−8<f1/f2<−3 (15)
−7.3<f1/f2<−3.5 (15-1)
−6.6<f1/f2<−4 (15-2)
(74) Assuming that a focal length of the third lens group G3 is f3 and a focal length of the fourth lens group G4 is f4, it is preferable to satisfy Conditional Expression (16). The third lens group G3 and the fourth lens group G4 are lens groups each of which has a relatively high ray height of the on-axis marginal rays. By satisfying Conditional Expression (16), the ratio between a positive refractive power of the third lens group G3 and a negative refractive power of the fourth lens group G4 can be appropriately set. Therefore, it is possible to satisfactorily correct spherical aberration. In addition, in a case of a configuration in which Conditional Expression (16-1) is satisfied, it is possible to obtain more favorable characteristics.
−0.9<f3/f4<−0.4 (16)
−0.8<f3/f4<−0.5 (16-1)
(75) Assuming that a focal length of the second lens group G2 is f2 and a focal length of the fourth lens group G4 is f4, it is preferable to satisfy Conditional Expression (17). By not allowing the result of Conditional Expression (17) to be equal to or less than the lower limit value, the refractive power of the second lens group G2 can be prevented from becoming excessively strong. Thus, it is possible to reduce fluctuation in distortion and fluctuation in field curvature during zooming. By not allowing the result of Conditional Expression (17) to be equal to or greater than the upper limit value, the refractive power of the fourth lens group G4 can be prevented from becoming excessively strong. Thus, it becomes easy to satisfactorily correct spherical aberration. In addition, in a case of a configuration in which Conditional Expression (17-1) is satisfied, it is possible to obtain more favorable characteristics.
0.2<f2/f4<0.8 (17)
0.3<f2/f4<0.7 (17-1)
(76) The third lens group G3 consists of, in order from the object side to the image side, a third lens group front group G3F having a positive refractive power and a third lens group rear group G3R having a positive refractive power, and only the third lens group rear group G3R is the vibration reduction lens group. In such a configuration, the following is preferable. That is, assuming that a focal length of the third lens group rear group G3R is f3R and a focal length of the third lens group G3 is f3, Conditional Expression (18) is satisfied. By not allowing the result of Conditional Expression (18) to be equal to or less than the lower limit value, the refractive power of the vibration reduction lens group can be prevented from becoming excessively strong. Thus, it is possible to suppress fluctuation in coma aberration and fluctuation in chromatic aberration in a case where the vibration reduction lens group moves. Further, the image blur correction stability can be prevented from being lowered due to the vibration reduction sensitivity that has become excessively high. By not allowing the result of Conditional Expression (18) to be equal to or greater than the upper limit value, the refractive power of the vibration reduction lens group can be prevented from becoming excessively weak. Thus, it is possible to reduce the amount of movement of the vibration reduction lens group during image blur correction. In addition, in a case of a configuration in which Conditional Expression (18-1) is satisfied, it is possible to obtain more favorable characteristics. In a case of a configuration in which Conditional Expression (18-2) is satisfied, it is possible to obtain further more favorable characteristics.
0.6<f3R/f3<1.8 (18)
0.7<f3R/f3<1.6 (18-1)
0.8<f3R/f3<1.4 (18-2)
(77) In a configuration in which only the fourth lens group G4 is used as the focusing lens group, assuming that a lateral magnification of the fourth lens group G4 in a state where an object at infinity is in focus at the wide-angle end is β4w, and a lateral magnification of the fifth lens group G5 in the state where the object at infinity is in focus at the wide-angle end is β5w, it is preferable to satisfy Conditional Expression (19). (1−β4w.sup.2)×β5w.sup.2 of Conditional Expression (19) indicates the amount of focus shift, that is, the focus sensitivity with respect to the amount of movement of the fourth lens group G4 in the direction of the optical axis, which is the focusing lens group, at the wide-angle end. Conditional Expression (19) is an expression indicating a preferable range of the focus sensitivity. By not allowing the result of Conditional Expression (19) to be equal to or less than the lower limit value, it is possible to suppress the sensitivity of deterioration in performance to the eccentric error of the fourth lens group G4. Further, by not allowing the result of Conditional Expression (19) to be equal to or less than the lower limit value, the refractive power of the fourth lens group G4 is easily prevented from becoming excessively strong. Thus, there is an advantage in satisfactorily correcting spherical aberration. By not allowing the result of Conditional Expression (19) to be equal to or greater than the upper limit value, the amount of movement of the fourth lens group G4 during focusing can be reduced. Therefore, this configuration is able to contribute to reduction in total optical length at the wide-angle end. In addition, it is possible to increase the speed of autofocusing. In addition, in a case of a configuration in which Conditional Expression (19-1) is satisfied, it is possible to obtain more favorable characteristics.
−3.1<(1−β4w.sup.2)×β5w.sup.2<−1.2 (19)
−2.8<(1−β4w.sup.2)×β5w.sup.2<−1.4 (19-1)
(78) Assuming that an Abbe number of the first lens in the first lens group G1 based on the d line is νd1, it is preferable to satisfy Conditional Expression (20). By not allowing the result of Conditional Expression (20) to be equal to or less than the lower limit value, in particular, it is possible to satisfactorily correct longitudinal chromatic aberration at the telephoto end. In addition, in a case where the Abbe number of the negative first lens increases and the difference between the Abbe number of the negative first lens and the Abbe number of the positive second lens decreases, it is necessary to make the refractive powers of the first lens and the second lens strong in order to correct longitudinal chromatic aberration. However, in a case where the refractive powers are made strong, spherical aberration and field curvature increase. By not allowing the result of Conditional Expression (20) to be equal to or greater than the upper limit value, in order to correct longitudinal chromatic aberration, the refractive powers of the first lens and the second lens can be prevented from becoming excessively strong. Thus, in particular, there is an advantage in satisfactorily correcting spherical aberration and field curvature on the telephoto side. In addition, in a case of a configuration in which Conditional Expression (20-1) is satisfied, it is possible to obtain more favorable characteristics.
15<νd1<26 (20)
16<νd1<25 (20-1)
(79) The fourth lens group G4 consists of at least one positive lens and at least one negative lens. In this configuration, assuming that an Abbe number of the positive lens in the fourth lens group G4 based on the d line is νd4p, it is preferable that the fourth lens group G4 has at least one positive lens that satisfies Conditional Expression (21). By not allowing the result of Conditional Expression (21) to be equal to or less than the lower limit value, it becomes easy to satisfactorily correct longitudinal chromatic aberration on the telephoto side, particularly, chromatic aberration on the short wavelength side. In addition, in a case where the Abbe number of the positive lens in the fourth lens group G4 increases and the difference between the Abbe number of the positive lens and the Abbe number of the negative lens in the fourth lens group G4 decreases, in order to correct longitudinal chromatic aberration, it is necessary to make both the refractive powers of these positive and negative lenses strong. However, in a case where the refractive powers are made strong, spherical aberration and coma aberration become large. By not allowing the result of Conditional Expression (21) to be equal to or greater than the upper limit value, the refractive power of each of the lenses composing the fourth lens group G4 can be prevented from becoming excessively strong. Thus, in particular, there is an advantage in satisfactorily correcting fifth or higher order spherical aberration and coma aberration on the telephoto side. In addition, in a case of a configuration in which Conditional Expression (21-1) is satisfied, it is possible to obtain more favorable characteristics.
15<νd4p<28 (21)
16<νd4p<26 (21-1)
(80) The above-mentioned preferred configurations and available configurations may be optional combinations, and it is preferable to selectively adopt the configurations in accordance with required specification. According to the technique of the present disclosure, it is possible to achieve a zoom lens that is reduced in size and has favorable optical performance while ensuring a wide angle of view and a high zoom ratio. It should be noted that the term “wide angle of view” described herein means that the maximum half angle of view at the wide-angle end is 40 degrees or more, and the term “high zoom ratio” means that the zoom ratio is 4 times or more.
(81) Next, numerical examples of the zoom lens of the present disclosure will be described.
Example 1
(82)
(83) Regarding the zoom lens of Example 1, Table 1 shows basic lens data, Table 2 shows specification and variable surface distances, and Table 3 shows aspheric surface coefficients thereof. In Table 1, the column of Sn shows surface numbers. The surface closest to the object side is the first surface, and the surface numbers increase one by one toward the image side. The column of R shows radii of curvature of the respective surfaces. The column of D shows surface distances on the optical axis between the respective surfaces and the surfaces adjacent to the image side. Further, the column of Nd shows a refractive index of each constituent element at the d line, the column of νd shows an Abbe number of each constituent element based on the d line, and the column of θgF shows a partial dispersion ratio of each constituent element between the g line and the F line.
(84) In Table 1, the sign of the radius of curvature of the surface convex toward the object side is positive and the sign of the radius of curvature of the surface convex toward the image side is negative. Table 1 also shows the optical member PP and the aperture stop St, and in a place of a surface number of a surface corresponding to the aperture stop St, the surface number and a term of (St) are noted. A value at the bottom place of D in Table 1 indicates a distance between the image plane Sim and the surface closest to the image side in the table. In Table 1, the variable surface distances, which are distances variable during zooming, are referenced by the reference signs DD[ ], and are written into places of D, where object side surface numbers of distances are noted in [ ].
(85) Table 2 shows values of the zoom ratio Zr, the focal length f, the F number FNo., the maximum total angle of view 2ω, and the variable surface distance during zooming. (°) in the place of 2ω indicates that the unit thereof is a degree. In Table 2, the values in the wide-angle end state, the middle focal length state, and the telephoto end state are shown in the columns denoted as “Wide-Angle End”, “Middle”, and “Telephoto End”, respectively. The values shown in Tables 1 and 2 are values in the case of using the d line as a reference in a state where the object at infinity is in focus.
(86) In Table 1, the reference sign * is attached to surface numbers of aspheric surfaces, and numerical values of the paraxial radius of curvature are written into the column of the radius of curvature of the aspheric surface. In Table 3, the row of Sn shows surface numbers of the aspheric surfaces, and the rows of KA and Am (m=3, 4, 5, . . . , 10) shows numerical values of the aspheric surface coefficients for each aspheric surface. The “E±n” (n: an integer) in numerical values of the aspheric surface coefficients of Table 3 indicates “×10.sup.±n”. KA and Am are the aspheric surface coefficients in the aspheric surface expression represented by the following expression.
Zd=C×h.sup.2/{1+(1−KA×C.sup.2×h.sup.2).sup.1/2}+ΣAm×h.sup.m
(87) Here, Zd is an aspheric surface depth (a length of a perpendicular from a point on an aspheric surface at height h to a plane that is perpendicular to the optical axis and contacts with the vertex of the aspheric surface),
(88) h is a height (a distance from the optical axis to the lens surface),
(89) C is an inverse of paraxial radius of curvature,
(90) KA and Am are aspheric surface coefficients, and
(91) Σ in the aspheric surface expression means the sum with respect to m.
(92) In data of each table, a degree is used as a unit of an angle, and mm (millimeter) is used as a unit of a length, but appropriate different units may be used since the optical system can be used even in a case where the system is enlarged or reduced in proportion. Further, each of the following tables shows numerical values rounded off to predetermined decimal places.
(93) TABLE-US-00001 TABLE 1 Example 1 Sn R D Nd vd θgF 1 147.65954 1.500 1.84666 23.78 0.62054 2 66.26836 5.470 1.75976 52.02 0.54640 3 413.58552 0.150 4 61.13525 4.830 1.74437 53.56 0.54443 5 210.90455 DD[5] *6 293.87219 1.500 1.80998 40.95 0.56644 *7 13.80754 8.421 8 −17.04404 0.700 1.66656 56.91 0.54500 9 −55.15886 0.705 10 117.74408 3.699 1.94595 17.98 0.65460 11 −39.74485 1.406 12 −20.28011 0.700 1.84700 22.65 0.62089 13 −30.35505 DD[13] 14(St) ∞ 0.500 *15 19.72898 4.886 1.68948 31.02 0.59874 *16 −228.86837 2.415 17 35.75828 0.700 1.85896 22.73 0.62844 18 11.37584 3.606 1.61800 63.33 0.54414 19 19.94929 1.600 *20 17.11541 5.718 1.49700 81.61 0.53887 *21 −22.47607 DD[21] 22 78.01772 2.000 1.85896 22.73 0.62844 23 −105.36171 0.610 1.80440 39.59 0.57297 24 20.27468 DD[24] 25 119.51326 3.106 1.61807 47.62 0.56442 26 −75.27031 1.300 1.81996 46.01 0.55579 27 120.38400 0.933 *28 −109.16204 3.553 1.58313 59.38 0.54237 *29 −31.21099 14.685 30 ∞ 2.850 1.51680 64.20 0.53430 31 ∞ 1.000
(94) TABLE-US-00002 TABLE 2 Example 1 Wide-angle Telephoto end Middle end Zr 1.000 2.215 4.713 f 16.504 36.548 77.783 FNo. 4.12 4.13 4.13 2ω(°) 87.2 40.8 19.8 DD[5] 0.800 14.741 35.652 DD[13] 19.488 6.274 1.188 DD[21] 2.496 3.840 2.495 DD[24] 3.861 17.125 31.386
(95) TABLE-US-00003 TABLE 3 Example 1 Sn 6 7 15 16 KA 1.0000000E+00 1.0000000E+00 1.0000000E+00 1.0000000E+00 A3 0.0000000E+00 0.0000000E+00 0.0000000E+00 0.0000000E+00 A4 −2.0156062E−05 −5.1708119E−05 −3.7833014E−05 −2.8854059E−05 A5 3.1332925E−06 3.8228839E−06 8.9432918E−06 1.2730218E−05 A6 1.0876565E−07 −1.1063845E−08 −1.8848688E−06 −3.2220609E−06 A7 −1.7774067E−08 −2.4210034E−08 8.0755296E−08 2.5722342E−07 A8 −2.0072742E−11 3.3662549E−09 1.2507349E−08 1.3197679E−08 A9 3.3457813E−11 −3.8954053E−11 −1.2306669E−09 −3.4051477E−09 A10 −3.6041271E−13 −1.1521318E−11 −1.3124899E−11 1.2147994E−10 Sn 20 21 28 29 KA 1.0000000E+00 1.0000000E+00 1.0000000E+00 1.0000000E+00 A3 0.0000000E+00 0.0000000E+00 0.0000000E+00 0.0000000E+00 A4 −3.8001832E−05 3.2816072E−05 9.9652891E−06 3.7008339E−05 A5 −1.4671735E−05 −1.2839953E−05 5.3568193E−06 −1.8060076E−06 A6 8.9777112E−06 7.3318923E−06 −5.3160786E−07 2.4328182E−07 A7 −2.5684771E−06 −1.9257261E−06 1.2498677E−08 −1.2493449E−09 A8 3.9432287E−07 2.7375207E−07 1.8271499E−09 −1.5154824E−09 A9 −3.1518780E−08 −2.0706246E−08 −1.7695720E−10 6.3461976E−11 A10 1.0102143E−09 6.3878265E−10 4.9789359E−12 −2.0584295E−15
(96)
(97)
(98) Symbols, meanings, description methods, and illustration methods of the respective data pieces according to Example 1 are the same as those in the following examples unless otherwise noted. Therefore, in the following description, repeated description will be omitted.
Example 2
(99)
(100) TABLE-US-00004 TABLE 4 Example 2 Sn R D Nd νd θgF 1 131.57797 1.500 1.84699 22.65 0.62089 2 67.55520 5.403 1.71053 55.97 0.54269 3 425.49740 0.150 4 58.77808 4.988 1.71727 55.64 0.54270 5 201.80604 DD[5] *6 416.64637 1.500 1.77322 44.08 0.56460 *7 13.41082 8.329 8 −17.23302 0.700 1.70216 49.39 0.55742 9 −56.24107 0.710 10 105.60952 3.078 1.94595 17.98 0.65460 11 −41.31604 1.393 12 −20.80363 0.700 1.84699 22.65 0.62089 13 −31.68401 DD[13] 14(St) ∞ 0.500 *15 18.85186 5.206 1.68948 31.02 0.59874 *16 −116.01791 2.093 17 62.51501 0.600 1.84573 22.71 0.62065 18 12.14801 3.609 1.58163 61.86 0.54174 19 23.68045 1.600 *20 16.74149 5.994 1.49700 81.61 0.53887 *21 −21.09500 DD[21] 22 68.81562 2.112 1.85896 22.73 0.62844 23 −77.49432 0.610 1.80440 39.59 0.57297 24 17.95124 DD[24] *25 116.14419 4.604 1.58313 59.38 0.54237 *26 −38.32872 0.150 27 −139.21760 1.500 1.74841 53.16 0.54494 28 34.13398 4.468 1.48749 70.24 0.53007 29 −517.25402 12.405 30 ∞ 2.850 1.51680 64.20 0.53430 31 ∞ 1.000
(101) TABLE-US-00005 TABLE 5 Example 2 Wide-angle Telephoto end Middle end Zr 1.000 2.215 4.713 f 16.499 36.538 77.761 FNo. 4.12 4.13 4.13 2ω(°) 87.0 41.0 20.0 DD[5] 0.800 14.215 35.151 DD[13] 19.731 6.650 2.034 DD[21] 2.499 4.314 3.105 DD[24] 4.241 17.050 31.033
(102) TABLE-US-00006 TABLE 6 Example 2 Sn 6 7 15 16 KA 1.0000000E+00 1.0000000E+00 1.0000000E+00 1.0000000E+00 A3 0.0000000E+00 0.0000000E+00 0.0000000E+00 0.0000000E+00 A4 −1.4966116E−05 −4.8836895E−05 −2.2251192E−05 −8.4475879E−07 A5 2.4803547E−06 3.1121405E−06 6.3217095E−06 7.2024578E−06 A6 1.0988494E−07 1.3659886E−07 −1.6604772E−06 −2.0575753E−06 A7 −1.3252893E−08 −4.1764770E−08 1.4695868E−07 2.0514768E−07 A8 −1.5742775E−10 2.8763475E−09 4.4767350E−09 5.4178092E−09 A9 2.7322906E−11 1.8816394E−10 −1.3614374E−09 −2.2676798E−09 A10 −1.9198265E−13 −1.8097317E−11 3.9609326E−11 9.1845861E−11 Sn 20 21 25 26 KA 1.0000000E+00 1.0000000E+00 1.0000000E+00 1.0000000E+00 A3 0.0000000E+00 0.0000000E+00 0.0000000E+00 0.0000000E+00 A4 −4.5120903E−05 3.1124682E−05 1.3940193E−05 3.7240038E−05 A5 −1.5053854E−05 −1.0787545E−05 1.8917020E−06 −3.0716491E−06 A6 9.0451192E−06 6.7602758E−06 −7.5934360E−08 2.0095116E−07 A7 −2.6021055E−06 −1.8891461E−06 1.1141342E−08 3.8494441E−08 A8 3.9769025E−07 2.7813451E−07 −1.1552052E−09 −4.0348499E−09 A9 −3.1214244E−08 −2.1199576E−08 −5.8037554E−11 −7.9733250E−11 A10 9.7019543E−10 6.4468762E−10 7.6219560E−12 1.3365832E−11
Example 3
(103)
(104) TABLE-US-00007 TABLE 7 Example 3 Sn R D Nd νd θgF 1 127.23794 1.500 1.95906 17.47 0.65993 2 68.36118 5.188 1.88300 40.76 0.56679 3 353.42458 0.150 4 51.05060 5.536 1.61014 60.76 0.54217 5 176.82084 DD[5] *6 197.67080 1.500 1.83268 39.67 0.57242 *7 12.65278 8.030 8 −16.65132 0.700 1.70054 56.20 0.54325 9 −64.65678 0.526 10 88.26127 3.078 1.94595 17.98 0.65460 11 −40.30466 1.695 12 −18.46617 0.700 1.79664 25.42 0.61156 13 −29.44876 DD[13] 14(St) ∞ 0.500 *15 19.22635 6.000 1.68948 31.02 0.59874 *16 −52.94274 1.415 17 66.22177 0.600 1.84693 22.65 0.62088 18 11.65503 5.166 1.51822 64.30 0.53826 19 47.46314 1.600 *20 17.59201 6.000 1.41390 100.82 0.53373 *21 −21.14694 DD[21] 22 61.73120 2.000 1.95906 17.47 0.65993 23 −178.94136 0.610 1.80440 39.59 0.57297 24 16.61010 DD[24] *25 202.68635 4.726 1.58313 59.38 0.54237 *26 −31.31369 0.877 27 −104.68838 1.500 1.85883 30.00 0.59793 28 32.17344 4.796 1.59827 46.77 0.56598 29 −259.27698 9.888 30 ∞ 2.850 1.51680 64.20 0.53430 31 ∞ 1.000
(105) TABLE-US-00008 TABLE 8 Example 3 Wide-angle Telephoto end Middle end Zr 1.000 2.215 4.713 f 16.489 36.516 77.714 FNo. 4.13 4.13 4.13 2ω(°) 86.2 40.8 20.0 DD[5] 0.800 12.911 31.637 DD[13] 17.932 7.217 2.961 DD[211 2.496 3.982 3.292 DD[24] 5.645 20.110 33.038
(106) TABLE-US-00009 TABLE 9 Example 3 Sn 6 7 15 16 KA 1.0000000E+00 1.0000000E+00 1.0000000E+00 1.0000000E+00 A3 0.0000000E+00 0.0000000E+00 0.0000000E+00 0.0000000E+00 A4 −1.7395978E−05 −5.3566161E−05 −2.7226806E−05 1.0020418E−06 A5 2.4371987E−06 3.5906409E−06 6.4928718E−06 7.3657138E−06 A6 1.0344411E−07 3.6976701E−08 −1.6697118E−06 −2.0833633E−06 A7 −1.2677658E−08 −4.6667222E−08 1.4480647E−07 2.0462468E−07 A8 −1.3209070E−10 2.5670020E−09 4.5420622E−09 5.1012960E−09 A9 2.7741079E−11 4.6681502E−10 −1.3619176E−09 −2.2513360E−09 A10 −3.0574453E−13 −3.5875113E−11 4.0475784E−11 9.4398056E−11 Sn 20 21 25 26 KA 1.0000000E+00 1.0000000E+00 1.0000000E+00 1.0000000E+00 A3 0.0000000E+00 0.0000000E+00 0.0000000E+00 0.0000000E+00 A4 −3.0824782E−05 3.9383615E−05 1.8948283E−05 4.9627909E−05 A5 −1.5396547E−05 −1.2125492E−05 2.1106325E−06 −3.1509149E−06 A6 8.9851464E−06 6.7627679E−06 −7.6404143E−08 2.0026483E−07 A7 −2.6039940E−06 −1.8805572E−06 1.2442486E−08 3.8679839E−08 A8 3.9904814E−07 2.7760299E−07 −1.2366207E−09 −3.9954683E−09 A9 −3.1272708E−08 −2.1241901E−08 −5.9605050E−11 −7.8251033E−11 A10 9.4962207E−10 6.2918187E−10 7.8724492E−12 1.3297708E−11
Example 4
(107)
(108) TABLE-US-00010 TABLE 10 Example 4 Sn R D Nd νd θgF 1 140.15920 1.500 1.92286 18.90 0.64960 2 76.57562 4.600 1.77250 49.60 0.55212 3 338.17154 0.150 4 61.25862 4.716 1.77423 47.35 0.55640 5 190.24297 DD[5] *6 416.65153 1.500 1.80998 40.95 0.56644 *7 14.54810 8.214 8 −19.31908 0.700 1.67439 37.17 0.58327 9 −115.85599 0.150 10 98.21866 4.473 1.94595 17.98 0.65460 11 −36.04825 1.330 12 −21.47670 0.700 1.83667 23.17 0.61902 13 −30.19670 DD[13] 14(St) ∞ 0.500 *15 16.81445 5.001 1.68948 31.02 0.59874 *16 −245.46598 0.174 17 34.32449 0.700 1.85896 22.73 0.62844 18 11.10736 3.010 1.61800 63.33 0.54414 19 16.22876 1.600 *20 17.65941 5.267 1.49700 81.61 0.53887 *21 −22.39316 DD[21] 22 130.93020 2.000 1.84666 23.78 0.62054 23 −90.34011 0.610 1.80440 39.59 0.57297 24 18.86350 DD[24] 25 120.70098 3.000 1.77357 50.62 0.54837 26 −99.45133 1.310 1.76574 43.54 0.56641 27 123.89655 0.974 *28 −101.34788 3.778 1.58313 59.38 0.54237 *29 −27.87020 14.622 30 ∞ 2.850 1.51680 64.20 0.53430 31 ∞ 1.000
(109) TABLE-US-00011 TABLE 11 Example 4 Wide-angle Telephoto end Middle end Zr 1.000 2.215 4.713 f 16.529 36.603 77.900 FNo. 4.12 4.12 4.12 2ω(°) 85.0 40.6 19.6 DD[5] 0.800 12.423 37.532 DD[13] 22.958 6.937 1.196 DD[21] 2.498 3.950 3.020 DD[24] 3.826 18.352 28.365
(110) TABLE-US-00012 TABLE 12 Example 4 Sn 6 7 15 16 KA 1.0000000E+00 1.0000000E+00 1.0000000E+00 1.0000000E+00 A3 0.0000000E+00 0.0000000E+00 0.0000000E+00 0.0000000E+00 A4 −2.1573661E−05 −3.9022740E−05 −4.8405706E−05 −4.4169435E−05 A5 3.4921030E−06 1.1943667E−06 8.8946671E−06 1.5305559E−05 A6 8.2025268E−08 4.2655315E−07 −2.1312271E−06 −3.5539537E−06 A7 −1.5931433E−08 −3.3045461E−08 9.2082608E−08 2.3009141E−07 A8 −3.1506580E−11 4.3607644E−10 1.3166819E−08 1.4786052E−08 A9 3.3946573E−11 1.1452099E−10 −1.3579324E−09 −3.5116072E−09 A10 −6.0576814E−13 −3.0153512E−12 −4.2184579E−11 1.2094256E−10 Sn 20 21 28 29 KA 1.0000000E+00 1.0000000E+00 1.0000000E+00 1.0000000E+00 A3 0.0000000E+00 0.0000000E+00 0.0000000E+00 0.0000000E+00 A4 −5.2874727E−05 2.3466953E−05 −4.1957056E−06 2.5963740E−05 A5 −7.3734243E−06 −8.3472818E−06 4.6862198E−06 −1.8441578E−06 A6 8.6426532E−06 7.1763170E−06 −4.8423437E−07 1.9590948E−07 A7 −2.6160163E−06 −1.9596690E−06 1.4614956E−08 2.5074796E−09 A8 3.9003698E−07 2.7207633E−07 2.0827550E−09 −1.3312155E−09 A9 −3.0978989E−08 −2.0482438E−08 −1.8838102E−10 8.4706074E−11 A10 1.0991537E−09 7.1873611E−10 5.3234032E−12 −9.1069571E−13
Example 5
(111)
(112) TABLE-US-00013 TABLE 13 Example 5 Sn R D Nd νd θgF 1 276.64953 1.500 2.10420 17.02 0.66311 2 106.19860 4.552 1.89190 37.13 0.57813 3 −1677.82377 0.150 4 56.33140 4.817 1.77250 49.60 0.55212 5 155.87618 DD[5] *6 149.55316 1.500 1.80998 40.95 0.56644 *7 13.57868 8.395 8 −17.68901 0.700 1.70300 52.38 0.55070 9 −54.91943 0.875 10 105.03887 3.591 1.94595 17.98 0.65460 11 −46.32614 1.558 12 −20.64389 0.700 1.78880 28.43 0.60092 13 −30.18069 DD[13] 14(St) ∞ 0.500 *15 19.33407 5.075 1.68948 31.02 0.59874 *16 −182.20393 1.728 17 41.69835 0.700 1.77830 23.91 0.62490 18 10.65894 4.233 1.59410 60.47 0.55516 19 20.25219 1.600 *20 16.23382 6.000 1.43875 94.66 0.53402 *21 −20.10236 DD[21] 22 77.20179 2.000 1.85896 22.73 0.62844 23 −120.80822 0.610 1.80440 39.59 0.57297 24 19.96950 DD[24] 25 198.83439 3.010 1.95375 32.32 0.59056 26 −77.70704 1.300 2.00100 29.14 0.59974 27 173.84906 1.124 *28 −63.29840 3.294 1.58313 59.38 0.54237 *29 −27.70698 14.724 30 ∞ 2.850 1.51680 64.20 0.53430 31 ∞ 1.000
(113) TABLE-US-00014 TABLE 14 Example 5 Wide-angle Telephoto end Middle end Zr 1.000 2.215 4.713 f 16.494 36.526 77.736 FNo. 4.12 4.13 4.13 2ω(°) 86.6 40.8 19.8 DD[5] 0.800 12.774 34.757 DD[13] 19.916 6.256 1.433 DD[211 2.494 3.934 2.492 DD[24] 3.953 18.598 32.685
(114) TABLE-US-00015 TABLE 15 Example 5 Sn 6 7 15 16 KA 1.0000000E+00 1.0000000E+00 1.0000000E+00 1.0000000E+00 A3 0.0000000E+00 0.0000000E+00 0.0000000E+00 0.0000000E+00 A4 −2.3655363E−05 −5.3728186E−05 −3.4165966E−05 −2.5732809E−05 A5 2.8434972E−06 3.8702629E−06 9.0520891E−06 1.4563115E−05 A6 1.2915494E−07 −1.1307658E−07 −1.7407849E−06 −3.3956346E−06 A7 −1.5994964E−08 −1.5080856E−08 6.7458682E−08 2.5664612E−07 A8 −1.1375601E−10 3.5036777E−09 1.2063751E−08 1.4397885E−08 A9 2.9945832E−11 −1.2107170E−10 −1.1489145E−09 −3.3702215E−09 A10 −1.9862184E−13 −6.5028915E−12 −6.5171513E−12 1.1861303E−10 Sn 20 21 28 29 KA 1.0000000E+00 1.0000000E+00 1.0000000E+00 1.0000000E+00 A3 0.0000000E+00 0.0000000E+00 0.0000000E+00 0.0000000E+00 A4 −4.4280271E−05 4.4114101E−05 9.3389749E−06 4.0215836E−05 A5 −1.5653598E−05 −1.5431545E−05 6.7261449E−06 −8.4851556E−07 A6 9.0540750E−06 7.7459060E−06 −6.0563648E−07 1.9487091E−07 A7 −2.5669171E−06 −1.9405480E−06 1.1966300E−08 −3.1052206E−10 A8 3.9472318E−07 2.7266272E−07 1.6794483E−09 −1.8555477E−09 A9 −3.1668403E−08 −2.0784346E−08 −1.5723829E−10 8.6125504E−11 A10 1.0098062E−09 6.4383577E−10 4.7559789E−12 −1.2615438E−13
Example 6
(115)
(116) TABLE-US-00016 TABLE 16 Sn R D Nd νd θgF 1 195.53115 1.500 1.85896 22.73 0.62844 2 86.76544 5.023 1.72720 55.14 0.54272 3 1574.16747 0.150 4 59.25939 4.789 1.74873 53.13 0.54497 5 176.68922 DD[5] 6 95.14642 0.900 1.73147 54.85 0.54289 7 11.67452 8.554 *8 −22.02773 1.500 1.69350 53.20 0.54661 *9 −73.73379 0.863 10 181.48116 2.290 1.95906 17.47 0.65993 11 −90.14539 DD[11] 12(St) ∞ 0.500 *13 18.98763 5.806 1.68948 31.02 0.59874 *14 −103.40755 0.150 15 46.67854 0.600 1.84700 22.65 0.62089 16 12.35452 2.337 1.59597 60.18 0.54388 17 16.67564 1.600 *18 16.37080 5.591 1.49700 81.61 0.53887 *19 −18.28048 DD[19] 20 115.11383 2.111 1.89286 20.36 0.63944 21 −72.73789 0.610 1.73800 32.33 0.59005 22 17.38170 DD[22] *23 −194.24953 5.000 1.58313 59.38 0.54237 *24 −35.49614 15.307 25 ∞ 2.850 1.51680 64.20 0.53430 26 ∞ 1.000
(117) TABLE-US-00017 TABLE 17 Example 6 Wide-angle Telephoto end Middle end Zr 1.000 2.068 4.124 f 16.494 34.108 68.018 FNo. 4.12 4.12 4.12 2ω(°) 86.8 43.4 22.8 DD[5] 0.800 15.581 36.540 DD[11] 19.977 6.249 1.786 DD[19] 2.498 4.682 3.255 DD[22] 7.702 15.844 28.468
(118) TABLE-US-00018 TABLE 18 Example 6 Sn 8 9 13 14 KA 1.0000000E+00 1.0000000E+00 1.0000000E+00 1.0000000E+00 A3 0.0000000E+00 0.0000000E+00 0.0000000E+00 0.0000000E+00 A4 4.7373189E−05 2.5192973E−05 −6.3293482E−05 −5.7886884E−05 A5 −9.6054676E−06 −1.0829721E−05 6.7008866E−06 1.9094374E−06 A6 −4.9995523E−07 −2.8512812E−07 −2.2724721E−06 −1.6043189E−06 A7 1.8214891E−07 1.8202868E−07 1.5488404E−07 2.4076072E−07 A8 −8.7603437E−09 −9.8345504E−09 1.0364797E−08 −8.6072636E−09 A9 −1.0127774E−09 −1.0026794E−09 −2.2613856E−09 −2.7327284E−09 A10 6.8101188E−11 7.7857893E−11 4.1839797E−12 1.7631883E−10 Sn 18 19 23 24 KA 1.0000000E+00 1.0000000E+00 1.0000000E+00 1.0000000E+00 A3 0.0000000E+00 0.0000000E+00 0.0000000E+00 0.0000000E+00 A4 −5.6626742E−05 2.3149554E−05 −2.4360205E−05 −7.3443391E−06 A5 −1.7898609E−05 −3.4762525E−06 4.8569381E−06 −9.4393343E−07 A6 9.0631618E−06 5.4719541E−06 −1.8355027E−07 4.6339658E−07 A7 −2.5725642E−06 −1.9400684E−06 −6.6976288E−09 −2.2416225E−08 A8 4.0370075E−07 3.0286510E−07 9.8021940E−10 −1.6054852E−09 A9 −3.1983972E−08 −2.1697419E−08 −4.8407130E−11 1.6800329E−10 A10 8.8530237E−10 4.7630221E−10 1.0659909E−12 −3.9963385E−12
Example 7
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(120) TABLE-US-00019 TABLE 19 Example 7 Sn R D Nd νd θgF 1 113.64101 1.500 1.84666 23.78 0.62054 2 58.14689 4.447 1.71345 55.83 0.54270 3 211.06714 0.150 4 51.16998 4.623 1.75865 52.14 0.54625 5 183.59726 DD[5] *6 416.72917 1.500 1.80139 45.45 0.55814 *7 12.09655 5.782 8 −29.29465 0.710 1.84701 43.30 0.56102 9 416.72918 3.417 1.87068 21.47 0.62537 10 −22.00226 0.936 *11 −24.17670 1.200 1.83135 33.60 0.58952 *12 −47.50496 DD[12] 13(St) ∞ 0.500 *14 17.67089 5.666 1.68948 31.02 0.59874 *15 −46.67564 0.150 16 77.29506 0.600 1.84700 22.65 0.62089 17 12.52123 2.313 1.54544 63.25 0.54027 18 17.13631 1.600 *19 16.87557 5.634 1.49700 81.61 0.53887 *20 −17.56029 DD[20] 21 233.79674 1.952 1.89286 20.36 0.63944 22 −55.17846 0.610 1.73800 32.33 0.59005 23 18.48020 DD[23] 24 −92.29233 4.722 1.68005 57.50 0.54262 25 −31.83840 DD[25] 26 ∞ 2.850 1.51680 64.20 0.53430 27 ∞ 1.000
(121) TABLE-US-00020 TABLE 20 Example 7 Wide-angle Telephoto end Middle end Zr 1.000 2.068 4.124 f 16.500 34.120 68.042 FNo. 4.12 4.12 4.12 2ω(°) 85.8 43.4 22.8 DD[5] 0.800 15.662 30.734 DD[121 17.213 6.756 1.182 DD[20] 2.497 4.102 2.872 DD[23] 6.364 15.608 26.540 DD[251 16.346 15.900 20.967
(122) TABLE-US-00021 TABLE 21 Example 7 Sn 6 7 11 12 KA 1.0000000E+00 1.0000000E+00 1.0000000E+00 1.0000000E+00 A3 0.0000000E+00 0.0000000E+00 0.0000000E+00 0.0000000E+00 A4 1.8091328E−05 −1.2314959E−05 −2.5016662E−04 −2.4329153E−04 A5 5.1803351E−06 1.5867207E−05 −5.0108301E−06 −4.8645063E−06 A6 −1.9803780E−07 −1.0912822E−06 3.7868352E−06 3.6275866E−06 A7 −3.7487095E−08 −2.6542143E−08 −2.8809156E−08 −2.4969052E−08 A8 1.2484754E−09 1.7170655E−08 −2.7839049E−08 −3.0653783E−08 A9 9.2233607E−11 −8.6841684E−11 −6.3320407E−11 4.3472503E−11 A10 −3.3072791E−12 −6.4486092E−11 5.4737239E−11 9.5255312E−11 Sn 14 15 19 20 KA 1.0000000E+00 1.0000000E+00 1.0000000E+00 1.0000000E+00 A3 0.0000000E+00 0.0000000E+00 0.0000000E+00 0.0000000E+00 A4 −8.0910133E−05 −5.5923151E−05 −6.0529074E−05 2.8994012E−05 A5 1.0582953E−05 1.0415673E−05 −1.2842890E−05 −2.9594968E−06 A6 −2.2364914E−06 −3.5019710E−06 8.0452982E−06 5.2756847E−06 A7 −6.6409847E−08 3.2795082E−07 −2.4875696E−06 −1.9390444E−06 A8 3.4546021E−08 4.0349678E−09 4.0134090E−07 3.0612004E−07 A9 −1.2577609E−09 −4.4216452E−09 −3.2658987E−08 −2.1920891E−08 A10 −2.3812027E−10 2.0147480E−10 9.8120085E−10 4.9326041E−10
Example 8
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(124) TABLE-US-00022 TABLE 22 Example 8 Sn R D Nd νd θgF 1 116.96901 1.500 1.84666 23.78 0.62054 2 62.11394 4.708 1.65474 58.76 0.54248 3 393.92446 0.150 4 50.08602 4.780 1.68308 57.35 0.54263 5 195.33798 DD[5] *6 416.66645 1.500 1.80139 45.45 0.55814 *7 11.69322 6.093 8 −31.71325 0.700 1.78877 49.12 0.55057 9 57.59597 4.182 1.78199 25.90 0.60989 10 −21.59297 0.613 *11 −27.18976 1.200 1.85135 40.10 0.56954 *12 −55.92124 DD[12] 13(St) ∞ 0.500 *14 15.27381 5.029 1.68948 31.02 0.59874 *15 −58.57788 0.710 16 135.18908 0.600 1.79459 25.27 0.61188 17 9.93672 2.231 1.53610 63.61 0.53967 18 16.62362 1.600 *19 14.45534 4.452 1.49700 81.61 0.53887 *20 −17.34341 DD[20] 21 1369.27629 1.999 1.89286 20.36 0.63944 22 −36.54413 0.610 1.73800 32.33 0.59005 23 17.08005 DD[23] 24 −96.75442 4.883 1.51599 53.22 0.55385 25 −28.74283 DD[25] 26 ∞ 2.850 1.51680 64.20 0.53430 27 ∞ 1.000
(125) TABLE-US-00023 TABLE 23 Example 8 Wide-angle Telephoto end Middle end Zr 1.000 2.215 4.713 f 16.495 36.528 77.740 FNo. 3.61 4.79 5.72 2ω(°) 86.4 41.2 20.2 DD[5] 0.800 12.570 32.398 DD[12] 19.269 5.515 1.182 DD[20] 2.498 4.663 3.260 DD[23] 7.924 17.849 29.971 DD[25] 14.660 15.418 17.415
(126) TABLE-US-00024 TABLE 24 Example 8 Sn 6 7 11 12 KA 1.0000000E+00 1.0000000E+00 1.0000000E+00 1.0000000E+00 A3 0.0000000E+00 0.0000000E+00 0.0000000E+00 0.0000000E+00 A4 −5.3370017E−05 −9.2240206E−05 −2.1397479E−04 −2.0580119E−04 A5 1.2857344E−05 2.4601542E−05 −4.8937900E−06 −7.8781394E−06 A6 2.7493740E−09 −1.0854913E−06 3.2921030E−06 3.5195188E−06 A7 −9.9469272E−08 −1.2258560E−07 9.0515517E−09 5.6459044E−08 A8 2.5543665E−09 2.5391244E−08 −2.1559518E−08 −3.4837612E−08 A9 2.4298503E−10 3.1239151E−10 −4.2937320E−10 −5.6547589E−10 A10 −9.4647334E−12 −1.1498912E−10 1.1400081E−11 1.2284443E−10 Sn 14 15 19 20 KA 1.0000000E+00 1.0000000E+00 1.0000000E+00 1.0000000E+00 A3 0.0000000E+00 0.0000000E+00 0.0000000E+00 0.0000000E+00 A4 −5.8998224E−05 −4.3126794E−05 −1.0850211E−04 1.1213377E−05 A5 8.9478792E−07 3.1985514E−06 2.2247176E−06 1.0635823E−05 A6 −1.1123416E−06 −2.4298590E−06 6.0320674E−06 3.6812248E−06 A7 4.0793820E−08 3.6302388E−07 −2.5907002E−06 −2.0738128E−06 A8 1.0171003E−08 −1.9800330E−08 4.3938268E−07 3.4144147E−07 A9 −2.3885984E−09 −4.7031909E−09 −3.2513951E−08 −2.1331256E−08 A10 −1.2813731E−10 3.1586098E−10 7.8340797E−10 2.8684695E−10
Example 9
(127)
(128) TABLE-US-00025 TABLE 25 Example 9 Sn R D Nd νd θgF 1 63.32268 1.500 1.84666 23.78 0.62054 2 39.15094 5.253 1.73001 51.57 0.55042 3 96.46578 0.150 4 42.55067 4.863 1.78112 49.89 0.54941 5 132.53932 DD[5] *6 416.72918 1.500 1.80139 45.45 0.55814 *7 10.83401 6.151 8 −37.04296 0.710 1.84700 43.30 0.56102 9 416.72918 3.122 1.86858 21.57 0.62497 10 −25.51502 0.550 *11 −33.55142 1.200 1.84701 43.30 0.56102 *12 −85.47266 DD[12] 13(St) ∞ 0.500 *14 18.30004 4.910 1.68948 31.02 0.59874 *15 −60.60573 0.150 16 68.05349 0.600 1.84064 23.16 0.61917 17 12.81549 2.135 1.52740 52.31 0.55580 18 17.34604 1.600 *19 17.58352 5.629 1.49700 81.61 0.53887 *20 −16.81802 DD[20] 21 216.54557 1.882 1.85896 22.73 0.62844 22 −59.49832 0.610 1.73800 32.33 0.59005 23 19.04753 DD[23] 24 −112.34760 4.008 1.67878 53.85 0.55001 25 −30.30405 DD[25] 26 ∞ 2.850 1.51680 64.20 0.53430 27 ∞ 1.000
(129) TABLE-US-00026 TABLE 26 Example 9 Wide-angle Telephoto end Middle end Zr 1.000 2.068 4.124 f 16.524 34.170 68.141 FNo. 4.12 4.12 4.12 2ω(°) 84.8 43.8 23.0 DD[5] 0.800 12.584 23.745 DD[12] 17.648 8.336 1.165 DD[20] 3.540 4.468 3.155 DD[23] 6.481 17.463 24.384 DD[25] 16.802 16.887 26.509
(130) TABLE-US-00027 TABLE 27 Example 9 Sn 6 7 11 12 KA 1.0000000E+00 1.0000000E+00 1.0000000E+00 1.0000000E+00 A3 0.0000000E+00 0.0000000E+00 0.0000000E+00 0.0000000E+00 A4 1.2483959E−05 −2.1822112E−05 −2.4682274E−04 −2.4670708E−04 A5 5.1148046E−06 1.2567627E−05 −5.2400186E−06 −5.6908412E−06 A6 −1.7791453E−07 −4.9607841E−07 3.9026046E−06 3.7077117E−06 A7 −3.8805889E−08 −1.4624386E−08 −9.7211739E−09 1.3124815E−11 A8 1.5642458E−09 1.1750599E−08 −2.8850749E−08 −3.1460097E−08 A9 7.1751179E−11 −1.7414577E−10 1.3812847E−11 4.0932415E−11 A10 −3.3762849E−12 −1.0037514E−11 6.7087029E−11 8.9012201E−11 Sn 14 15 19 20 KA 1.0000000E+00 1.0000000E+00 1.0000000E+00 1.0000000E+00 A3 0.0000000E+00 0.0000000E+00 0.0000000E+00 0.0000000E+00 A4 −8.6565866E−05 −8.0561004E−05 −7.6341409E−05 1.0148045E−05 A5 9.8877771E−06 1.2318453E−05 −1.3773755E−05 1.0168377E−07 A6 −2.1362462E−06 −3.7643994E−06 8.4739468E−06 4.9693136E−06 A7 −8.2316639E−08 3.1662448E−07 −2.5212635E−06 −1.9345842E−06 A8 3.3253841E−08 5.3583168E−09 3.9874662E−07 3.0330134E−07 A9 −1.3565995E−09 −4.4399578E−09 −3.2945861E−08 −2.2069840E−08 A10 −2.3862198E−10 1.9520412E−10 9.7946305E−10 4.8729525E−10
Example 10
(131)
(132) TABLE-US-00028 TABLE 28 Example 10 Sn R D Nd νd θgF 1 110.51724 1.500 1.84666 23.78 0.62054 2 55.36877 5.023 1.64850 53.02 0.55487 3 315.13587 0.150 4 53.12546 4.604 1.72818 52.65 0.54819 5 223.06908 DD[5] *6 416.61482 1.500 1.80139 45.45 0.55814 *7 12.08307 5.872 8 −31.48789 0.700 1.79921 48.08 0.55222 9 67.98488 4.020 1.79300 25.35 0.61163 10 −21.48315 0.651 *11 −24.95184 1.200 1.85135 40.10 0.56954 *12 −53.43944 DD[12] 13(St) ∞ 0.500 *14 15.38319 4.983 1.68948 31.02 0.59874 *15 −56.10848 0.854 16 193.00748 0.600 1.81718 25.31 0.61244 17 10.21793 2.123 1.53291 63.71 0.53949 18 16.53024 1.768 *19 14.54004 4.814 1.53775 74.70 0.53936 *20 −17.19165 DD[20] 21 −893.74776 2.227 1.89286 20.36 0.63944 22 −33.66060 0.610 1.73800 32.33 0.59005 23 16.84692 DD[23] 24 −76.65356 4.390 1.51600 59.57 0.54486 25 −26.95790 DD[25] 26 ∞ 2.850 1.51680 64.20 0.53430 27 ∞ 1.000
(133) TABLE-US-00029 TABLE 29 Example 10 Wide-angle Telephoto end Middle end Zr 1.000 2.215 4.713 f 16.503 36.546 77.777 FNo. 3.61 4.84 5.77 2ω(°) 87.0 41.4 20.2 DD[5] 0.800 12.167 32.605 DD[12] 19.040 5.621 1.169 DD[20] 2.499 4.521 3.573 DD[23] 8.190 19.285 30.369 DD[25] 14.585 14.988 16.619
(134) TABLE-US-00030 TABLE 30 Example 10 Sn 6 7 11 12 KA 1.0000000E+00 1.0000000E+00 1.0000000E+00 1.0000000E+00 A3 0.0000000E+00 0.0000000E+00 0.0000000E+00 0.0000000E+00 A4 −5.0917286E−05 −8.8075470E−05 −2.1379959E−04 −2.0413890E−04 A5 1.2781851E−05 2.4829902E−05 −5.0991835E−06 −7.8919736E−06 A6 −3.2468558E−09 −1.1836899E−06 3.3263984E−06 3.5371433E−06 A7 −9.9764766E−08 −1.0715768E−07 1.9812913E−08 5.5232556E−08 A8 2.5347225E−09 2.4607403E−08 −2.2830503E−08 −3.4472923E−08 A9 2.4339282E−10 2.5218920E−10 −4.3353828E−10 −5.6005695E−10 A10 −9.2161232E−12 −1.1775357E−10 1.1269996E−11 1.2018373E−10 Sn 14 15 19 20 KA 1.0000000E+00 1.0000000E+00 1.0000000E+00 1.0000000E+00 A3 0.0000000E+00 0.0000000E+00 0.0000000E+00 0.0000000E+00 A4 −5.6765193E−05 −4.4655190E−05 −1.0074194E−04 2.4509451E−05 A5 −1.3128489E−06 4.8343020E−07 −5.3553740E−08 7.1248534E−06 A6 −1.0972584E−06 −2.4736241E−06 5.6518125E−06 3.5612444E−06 A7 2.8407847E−08 3.5501580E−07 −2.5162466E−06 −2.0291991E−06 A8 1.0487077E−08 −1.9909438E−08 4.3729982E−07 3.4086074E−07 A9 −2.7278899E−09 −4.5520823E−09 −3.2450348E−08 −2.1485957E−08 A10 −1.2685596E−10 3.1668339E−10 7.6894063E−10 2.8683412E−10
Example 11
(135)
(136) TABLE-US-00031 TABLE 31 Example 11 Sn R D Nd νd θgF 1 128.24623 1.500 1.84666 23.78 0.62054 2 66.35400 5.420 1.72916 54.67 0.54503 3 370.23098 0.150 4 60.85319 4.910 1.69680 55.53 0.54404 5 218.25042 DD[5] *6 294.10562 2.000 1.80780 40.89 0.56949 *7 13.29231 8.380 8 −17.12196 0.700 1.61800 63.39 0.54015 9 −108.18599 0.150 10 89.95607 3.620 1.92287 20.88 0.63943 11 −33.23372 1.450 12 −19.01017 0.700 1.84667 23.79 0.61771 13 −27.63008 DD[13] 14(St) ∞ 1.100 *15 16.62717 4.510 1.68893 31.16 0.60397 *16 −416.39974 1.640 17 50.66171 0.700 1.84667 23.79 0.61771 18 10.88100 3.750 1.61800 63.39 0.54015 19 19.23257 1.600 *20 16.53927 5.890 1.49710 81.56 0.53859 *21 −20.80043 DD[21] 22 87.20800 2.000 1.85896 22.73 0.62844 23 −87.20800 0.610 1.80440 39.59 0.57297 24 20.15648 DD[24] 25 398.56925 3.300 1.51680 64.20 0.53430 26 −46.61600 1.200 1.69350 53.35 0.54844 27 ∞ 0.511 *28 −83.44813 3.690 1.58313 59.46 0.54067 *29 −29.56019 14.614 30 ∞ 2.850 1.51680 64.20 0.53430 31 ∞ 1.000
(137) TABLE-US-00032 TABLE 32 Example 11 Wide-angle Telephoto end Middle end Zr 1.000 2.215 4.713 f 16.497 36.533 77.751 FNo. 4.12 4.12 4.13 2ω(°) 87.2 40.4 19.8 DD[5] 0.800 16.301 36.160 DD[13] 20.010 6.315 0.948 DD[21] 2.400 3.974 2.502 DD[24] 4.010 15.227 30.211
(138) TABLE-US-00033 TABLE 33 Example 11 Sn 6 7 15 16 KA 1.0000000E+00 1.0000000E+00 1.0000000E+00 1.0000000E+00 A3 0.0000000E+00 0.0000000E+00 0.0000000E+00 0.0000000E+00 A4 −2.8490089E−05 −7.0282771E−05 −2.6026370E−05 −5.2519720E−06 A5 3.4001978E−06 5.3460017E−06 8.9327675E−06 1.1905465E−05 A6 8.6025369E−08 −3.5251621E−08 −2.0288251E−06 −2.8991687E−06 A7 −1.5881372E−08 −6.1941991E−08 1.4984851E−07 2.5206330E−07 A8 4.6954316E−11 6.3478737E−09 8.9124018E−09 1.1490979E−08 A9 2.5563829E−11 4.1329015E−11 −1.6175571E−09 −3.0037271E−09 A10 −2.8828379E−13 −2.5970681E−11 3.8219433E−11 1.0930036E−10 Sn 20 21 28 29 KA 1.0000000E+00 1.0000000E+00 1.0000000E+00 1.0000000E+00 A3 0.0000000E+00 0.0000000E+00 0.0000000E+00 0.0000000E+00 A4 −5.1646523E−05 3.0888509E−05 2.2349857E−05 4.5879069E−05 A5 −1.3212713E−05 −1.1362506E−05 5.5598856E−06 −1.7722904E−06 A6 9.0512974E−06 7.4686715E−06 −8.5821407E−07 2.7031166E−07 A7 −2.6426652E−06 −2.0164295E−06 1.4544149E−08 −3.9980318E−08 A8 3.9970349E−07 2.7982876E−07 3.8678891E−09 4.4104943E−10 A9 −3.0895564E−08 −1.9958501E−08 −1.9921474E−10 2.3673571E−10 A10 9.5538736E−10 5.7836273E−10 −3.5162202E−14 −1.1877867E−11
(139) Table 34 shows values corresponding to Conditional Expressions (1) to (21) of the zoom lenses of Examples 1 to 11. In Examples 1 to 11, the d line is set as the reference wavelength. Table 34 shows the values on the d line basis.
(140) TABLE-US-00034 TABLE 34 Expression Conditional Example Example Example Example Example Example number expression 1 2 3 4 5 6 (1) f1/f5 0.837 0.719 0.621 1.422 0.936 1.247 (2) f4/f5 −0.342 −0.267 −0.250 −0.442 −0.381 −0.423 (3) Nd2 1.760 1.711 1.883 1.773 1.892 1.727 (4) BFw/TLw 0.168 0.147 0.123 0.169 0.169 0.184 (5) f3R/f3F 0.387 0.365 0.682 0.374 0.434 0.227 (6) (1-β3Rt) × β45t 3.079 3.247 2.711 2.752 2.946 3.103 (7) νd3Rp 81.61 81.61 100.82 81.61 94.66 81.61 (8) (1-β4t.sup.2) × β5t.sup.2 −4.038 −4.494 −4.694 −4.374 −4.084 −3.845 (9) νd4n-νd4p 16.86 16.86 22.12 15.81 16.86 11.97 (10) TLw/|Y| 7.339 7.327 7.326 7.291 7.343 6.974 (11) D45t/D45w 8.129 7.315 5.852 7.414 8.267 3.696 (12) BFw/(fw × tan|ωw|) 1.117 0.979 0.829 0.844 1.135 1.166 (13) NdG1p 1.752 1.714 1.747 1.773 1.832 1.738 (14) f2/f3 −0.771 −0.758 −0.663 −0.940 −0.773 −0.895 (15) f1/f2 −5.727 −5.845 −6.204 −5.021 −5.559 −5.447 (16) f3/f4 −0.554 −0.609 −0.604 −0.682 −0.572 −0.604 (17) f2/f4 0.427 0.461 0.401 0.641 0.442 0.541 (18) f3R/f3 1.020 1.003 1.247 1.075 1.058 0.975 (19) (1-β4w.sup.2) × β5w.sup.2 −1.648 −1.869 −1.867 −1.991 −1.620 −1.966 (20) νd1 23.78 22.65 17.47 18.90 17.02 22.73 (21) νd4p 22.73 22.73 17.47 23.78 22.73 20.36 Expression Conditional number expression Example 7 Example 8 Example 9 Example 10 Example 11 (1) f1/f5 1.153 1.022 1.080 1.026 0.961 (2) f4/f5 −0.436 −0.338 −0.513 −0.318 −0.370 (3) Nd2 1.713 1.655 1.730 1.649 1.729 (4) BFw/TLw 0.204 0.182 0.207 0.182 0.168 (5) f3R/f3F 0.297 0.250 0.236 0.193 0.336 (6) (1-β3Rt) × β45t 3.095 3.655 3.044 4.033 3.140 (7) νd3Rp 81.61 81.61 81.61 74.70 81.56 (8) (1-β4t.sup.2) × β5t.sup.2 −3.953 −5.538 −3.407 −5.997 −4.069 (9) νd4n-νd4p 11.97 11.97 9.60 11.97 16.86 (10) TLw/|Y| 6.627 6.765 6.702 6.766 7.338 (11) D45t/D45w 4.170 3.782 3.762 3.708 10.876 (12) BFw/(fw × tan|ωw|) 1.255 1.133 1.304 1.115 1.117 (13) NdG1p 1.736 1.669 1.756 1.688 1.713 (14) f2/f3 −0.831 −0.853 −0.743 −0.856 −0.804 (15) f1/f2 −5.351 −5.313 −4.769 −5.469 −5.612 (16) f3/f4 -0.594 −0.666 −0.594 −0.689 −0.575 (17) f2/f4 0.494 0.569 0.442 0.590 0.462 (18) f3R/f3 1.019 0.954 1.001 0.902 0.982 (19) (1-β4w.sup.2) × β5w.sup.2 −1.962 −2.553 −1.809 −2.743 −1.709
(141) As can be seen from the above data, the zoom lenses of Examples 1 to 11 each have a wide angle of view as a maximum half angle of view of 42 degrees or more at the wide-angle end and a high zoom ratio as a zoom ratio of 4 times or more. With such a configuration, reduction in size is achieved, and various aberrations are satisfactorily suppressed. As a result, high optical performance is achieved.
(142) Next, an imaging apparatus according to an embodiment of the present disclosure will be described.
(143) The camera 30 comprises a camera body 31, and a shutter button 32 and a power button 33 are provided on an upper surface of the camera body 31. Further, an operation section 34, an operation section 35, and a display section 36 are provided on a rear surface of the camera body 31. The display section 36 is capable of displaying a captured image and an image within an angle of view before imaging.
(144) An imaging aperture, through which light from an imaging target is incident, is provided at the center on the front surface of the camera body 31. A mount 37 is provided at a position corresponding to the imaging aperture. The interchangeable lens 20 is mounted on the camera body 31 with the mount 37 interposed therebetween.
(145) In the camera body 31, there are provided an imaging element, a signal processing circuit, a storage medium, and the like. The imaging element such as a charge coupled device (CCD) or a complementary metal oxide semiconductor (CMOS) outputs a captured image signal based on a subject image which is formed through the interchangeable lens 20. The signal processing circuit generates an image through processing of the captured image signal which is output from the imaging element. The storage medium stores the generated image. The camera 30 is able to capture a still image or a moving image by pressing the shutter button 32, and is able to store image data, which is obtained through imaging, in the storage medium.
(146) The technology of the present disclosure has been hitherto described through embodiments and examples, but the technology of the present disclosure is not limited to the above-mentioned embodiments and examples, and may be modified into various forms. For example, values such as the radius of curvature, the surface distance, the refractive index, the Abbe number, and the aspheric surface coefficient of each lens are not limited to the values shown in the numerical examples, and different values may be used therefor.
(147) Further, the imaging apparatus according to the embodiment of the present disclosure is not limited to the above example, and may be modified into various forms such as a camera other than the mirrorless type, a film camera, and a video camera.