Optical image capturing system
11561366 · 2023-01-24
Assignee
Inventors
Cpc classification
H04N23/55
ELECTRICITY
International classification
Abstract
The invention discloses a three-piece optical lens for capturing image and a three-piece optical module for capturing image. In order from an object side to an image side, the optical lens along the optical axis comprises a first lens with positive refractive power; a second lens with refractive power; and a third lens with refractive power; and at least one of the image-side surface and object-side surface of each of the three lens elements are aspheric. The optical lens can increase aperture value and improve the imaging quality for use in compact cameras.
Claims
1. An optical image capturing system, in order along an optical axis from an object side to an image side, comprising: a first lens having positive refractive power; a second lens having positive refractive power; a third lens having refractive power; and an image plane; wherein the optical image capturing system having a total of the three lenses with refractive power; each lens among the first lens to the third lens has an object-side surface, which faces the object side, and an image-side surface, which faces the image side; wherein the optical image capturing system satisfies:
1≤f/HEP≤10;
0 deg<HAF≤40 deg; and
0.9≤2(ARE/HEP)≤2.0; wherein f is a focal length of the optical image capturing system; HEP is an entrance pupil diameter of the optical image capturing system; HAF is a half of a maximum view angle of the optical image capturing system; for any surface of any lens, ARE is a profile curve length measured from a start point where the optical axis passes therethrough, along a surface profile thereof, and finally to a coordinate point of a perpendicular distance where is a half of the entrance pupil diameter away from the optical axis.
2. The optical image capturing system of claim 1, wherein the third lens has negative refractive power.
3. The optical image capturing system of claim 1, wherein the image-side surface of the first lens is a convex surface.
4. The optical image capturing system of claim 1, wherein the optical image capturing system further satisfies:
PLTA≤100 μm;
PSTA≤100 μm;
NLTA≤100 μm;
NSTA≤100 μm;
SLTA≤100 μm;
SSTA≤100 μm; and
|TDT|<100%; wherein TDT is a TV distortion; HOI is a maximum height for image formation perpendicular to the optical axis on the image plane; PLTA is a transverse aberration at 0.7 HOI on the image plane in the positive direction of a tangential fan of the optical image capturing system after a longest operation wavelength passing through an edge of the aperture; PSTA is a transverse aberration at 0.7 HOI on the image plane in the positive direction of the tangential fan after a shortest operation wavelength passing through the edge of the aperture; NLTA is a transverse aberration at 0.7 HOI on the image plane in the negative direction of the tangential fan after the longest operation wavelength passing through the edge of the aperture; NSTA is a transverse aberration at 0.7 HOI on the image plane in the negative direction of the tangential fan after the shortest operation wavelength passing through the edge of the aperture; SLTA is a transverse aberration at 0.7 HOI on the image plane of a sagittal fan of the optical image capturing system after the longest operation wavelength passing through the edge of the aperture; SSTA is a transverse aberration at 0.7 HOI on the image plane of a sagittal fan after the shortest operation wavelength passing through the edge of the aperture.
5. The optical image capturing system of claim 1, wherein the optical image capturing system further satisfies:
0.9≤ARS/EHD≤2.0; wherein, for any surface of any lens, EHD is a maximum effective half diameter thereof, and ARS is a profile curve length measured from a start point where the optical axis passes therethrough, along a surface profile thereof, and finally to an end point of the maximum effective half diameter thereof.
6. The optical image capturing system of claim 1, wherein the optical image capturing system further satisfies:
0 mm<HOS≤1.5 mm; wherein HOS is a distance between an object-side surface of the first lens and the image plane on the optical axis.
7. The optical image capturing system of claim 1, wherein the optical image capturing system further satisfies:
0.05≤ARE31/TP3≤25; and
0.05≤ARE32/TP3≤25; wherein ARE31 is a profile curve length measured from a start point where the optical axis passes the object-side surface of the third lens, along a surface profile of the object-side surface of the third lens, and finally to a coordinate point of a perpendicular distance where is a half of the entrance pupil diameter away from the optical axis; ARE32 is a profile curve length measured from a start point where the optical axis passes the image-side surface of the third lens, along a surface profile of the image-side surface of the third lens, and finally to a coordinate point of a perpendicular distance where is a half of the entrance pupil diameter away from the optical axis; TP3 is a thickness of the third lens on the optical axis.
8. The optical image capturing system of claim 1, wherein the optical image capturing system further satisfies:
1.6≤f1/f2≤2.5; wherein f1 is a focal length of the first lens, and f2 is a focal length of the second lens.
9. The optical image capturing system of claim 1, further comprising an aperture, wherein the optical image capturing system further satisfies:
0.2≤InS/HOS≤1.1; wherein InS is a distance between the aperture and the image plane on the optical axis; HOS is a distance between an object-side surface of the first lens and the image plane on the optical axis.
10. An optical image capturing system, in order along an optical axis from an object side to an image side, comprising: a first lens having positive refractive power; a second lens having positive refractive power; a third lens having refractive power; and an image plane; wherein the optical image capturing system having a total of the three lenses with refractive power; at least a surface of each of at least one lens among the first lens to the third lens has at least an inflection point; each lens among the first lens to the third lens has an object-side surface, which faces the object side, and an image-side surface, which faces the image side; the object-side surface of the first lens is convex on the optical axis, and the image-side surface of the first lens is convex on the optical axis; wherein the optical image capturing system satisfies:
1≤f/HEP≤10;
0 deg<HAF≤40 deg; and
0.9≤2(ARE/HEP)≤2.0; wherein f is a focal length of the optical image capturing system; HEP is an entrance pupil diameter of the optical image capturing system; HAF is a half of a maximum view angle of the optical image capturing system; for any surface of any lens, ARE is a profile curve length measured from a start point where the optical axis passes therethrough, along a surface profile thereof, and finally to a coordinate point of a perpendicular distance where is a half of the entrance pupil diameter away from the optical axis.
11. The optical image capturing system of claim 10, wherein the optical image capturing system further satisfies:
0.9≤ARS/EHD≤2.0; wherein, for any surface of any lens, EHD is a maximum effective half diameter thereof, and ARS is a profile curve length measured from a start point where the optical axis passes therethrough, along a surface profile thereof, and finally to an end point of the maximum effective half diameter thereof.
12. The optical image capturing system of claim 10, wherein at least one surface of each of at least two lenses among the first lens to the third lens has at least an inflection point.
13. The optical image capturing system of claim 10, wherein the optical image capturing system further satisfies:
−2.5≤f1/f3≤−1; wherein f1 is a focal length of the first lens, and f3 is a focal length of the third lens.
14. The optical image capturing system of claim 10, wherein the optical image capturing system further satisfies:
−0.9≤f2/f3≤−0.7; wherein f2 is a focal length of the second lens, and f3 is a focal length of the third lens.
15. The optical image capturing system of claim 10, wherein the optical image capturing system further satisfies:
0.5≤TP1/TP2≤1; wherein TP1 is a thickness of the first lens on the optical axis; TP2 is a thickness of the second lens on the optical axis.
16. The optical image capturing system of claim 10, wherein the optical image capturing system further satisfies:
1.5≤TP2/TP3≤2.5; wherein TP2 is a thickness of the second lens on the optical axis; TP3 is a thickness of the third lens on the optical axis.
17. The optical image capturing system of claim 10, wherein the optical image capturing system further satisfies:
−2≤(R1−R2)/(R1+R2)≤−1; wherein R1 is a radius of curvature of the object-side surface of the first lens, and R2 is a radius of curvature of the image-side surface of the first lens.
18. The optical image capturing system of claim 10, wherein the optical image capturing system further satisfies:
0.2≤(R3−R4)/(R3+R4)≤0.4; wherein R3 is a radius of curvature of the object-side surface of the second lens, and R4 is a radius of curvature of the image-side surface of the second lens.
19. The optical image capturing system of claim 10, wherein the optical image capturing system further satisfies:
0.4≤(R5−R6)/(R5+R6)≤0.8; wherein R5 is a radius of curvature of the object-side surface of the third lens, and R6 is a radius of curvature of the image-side surface of the third lens.
20. An optical image capturing system, in order along an optical axis from an object side to an image side, comprising: a first lens having positive refractive power; a second lens having positive refractive power; a third lens having negative refractive power; and an image plane; wherein the optical image capturing system having a total of the three lenses having refractive power; each lens among the first lens to the third lens has an object-side surface, which faces the object side, and an image-side surface, which faces the image side; the object-side surface of the first lens is convex on the optical axis, and the image-side surface of the first lens is convex on the optical axis; each of the object-side surface and the image-side surface among the second lens to the third lens has at least an inflection point thereon; wherein the optical image capturing system satisfies:
1≤f/HEP≤2.4;
10 deg≤HAF≤40 deg;
0.9≤2(ARE/HEP)≤2.0; and
1≤HOS/HOI≤1.8; wherein f is a focal length of the optical image capturing system; HEP is an entrance pupil diameter of the optical image capturing system; HOS is a distance between an object-side surface of the first lens and the image plane on the optical axis; HAF is a half of a maximum view angle of the optical image capturing system; HOI is a maximum height for image formation perpendicular to the optical axis on the image plane; for any surface of any lens, ARE is a profile curve length measured from a start point where the optical axis passes therethrough, along a surface profile thereof, and finally to a coordinate point of a perpendicular distance where is a half of the entrance pupil diameter away from the optical axis.
21. The optical image capturing system of claim 20, wherein the optical image capturing system further satisfies:
0.9≤ARS/EHD≤2.0; wherein, for any surface of any lens, EHD is a maximum effective half diameter thereof, ARS is a profile curve length measured from a start point where the optical axis passes therethrough, along a surface profile thereof, and finally to an end point of the maximum effective half diameter thereof.
22. The optical image capturing system of claim 20, wherein the optical image capturing system further satisfies:
−2.5≤f1/f3≤−1; wherein f1 is a focal length of the first lens, and f3 is a focal length of the third lens.
23. The optical image capturing system of claim 20, wherein the optical image capturing system further satisfies:
−0.9≤f2/f3≤−0.7; wherein f2 is a focal length of the second lens, and f3 is a focal length of the third lens.
24. The optical image capturing system of claim 20, wherein the optical image capturing system further satisfies:
0.5≤TP1/TP2≤1; wherein TP1 is a thickness of the first lens on the optical axis; TP2 is a thickness of the second lens on the optical axis.
25. The optical image capturing system of claim 20, further comprising an aperture an image sensor, and a driving module, wherein the image sensor is disposed on the image plane; the driving module is coupled with the lenses to move the lenses; the optical image capturing system further satisfies:
0.2≤InS/HOS≤1.1; wherein InS is a distance between the aperture and the image plane.
Description
BRIEF DESCRIPTION OF THE SEVERAL VIEWS OF THE DRAWINGS
(1) The present invention will be best understood by referring to the following detailed description of some illustrative embodiments in conjunction with the accompanying drawings, in which
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DETAILED DESCRIPTION OF THE INVENTION
(20) An optical image capturing system of the present invention includes a first lens, a second lens, and a third lens from an object side to an image side. The optical image capturing system further is provided with an image sensor at an image plane.
(21) The optical image capturing system can also work in five wavelengths, including 470 nm, 510 nm, 555 nm, 610 nm, and 650 nm wherein 555 nm is the main reference wavelength, and is the reference wavelength for obtaining the technical characters. Referring to obtaining the values of lateral aberration while the longest operation wavelength and the shortest operation wavelength passing through the margin of the aperture, the longest operation wavelength is set as 650 nm, the main wavelength of light of the reference wavelength is set as 555 nm, and the shortest operation wavelength is set as 470 nm.
(22) The optical image capturing system of the present invention satisfies 0.5≤ΣPPR/|ΣNPR|≤4.5, and a preferable range is 1≤ΣPPR/|ΣNPR|3.8, where PPR is a ratio of the focal length f of the optical image capturing system to a focal length fp of each of lenses with positive refractive power; NPR is a ratio of the focal length f of the optical image capturing system to a focal length fn of each of lenses with negative refractive power; ΣPPR is a sum of the PPRs of each positive lens; and ΣNPR is a sum of the NPRs of each negative lens. It is helpful for control of an entire refractive power and an entire length of the optical image capturing system.
(23) The height of the optical image capturing system is denoted by HOS. When HOS/f is close to 1, it would help to manufacture a miniaturized optical image capturing system capable of providing images of hyper-rich pixels.
(24) A sum of the focal lengths fp of each lens with positive refractive power in the optical image capturing system is denoted by ΣPP, while a sum of each lens with negative refractive power in the optical image capturing system is denoted by ΣNP. In an embodiment, the optical image capturing system satisfies the condition: 0<ΣPP≤200; and f1/ΣPP≤0.85. Whereby, the focusing ability of the optical image capturing system could be controlled. Furthermore, the positive refractive power of the system could be properly distributed to suppress obvious aberration from happening too early. The first lens has positive refractive power, and an object-side surface thereof could be convex. Whereby, the strength of the positive refractive power of the first lens could be properly adjusted, which helps to shorten a total length of the optical image capturing system.
(25) The second lens could have negative refractive power, which helps to compensate the aberration generated by the first lens.
(26) The third lens could have positive refractive power, and an image-side surface thereof could be concave. Whereby, the positive refractive power of the first lens could be shard, and it would help to shorten the rear focal length to maintain miniature. In addition, at least a surface of third lens could have at least an inflection point, which could effectively suppress the incidence angle of light in the off-axis field of view, and further correct the aberration in the off-axis field of view. Preferably, an object-side surface and the image-side surface thereof both have at least an inflection point.
(27) The image sensor is provided on the image plane. The optical image capturing system of the present invention satisfies HOS/HOI≤3 and 0.5≤HOS/f≤3.0, and a preferable range is 1≤HOS/HOI≤2.5 and 1≤HOS/f≤2, where HOI is a half of a diagonal of an effective sensing area of the image sensor, i.e., the maximum image height, and HOS is a height of the optical image capturing system, i.e. a distance on the optical axis between the object-side surface of the first lens and the image plane. It is helpful for reduction of the size of the system for used in compact cameras.
(28) The optical image capturing system of the present invention further is provided with an aperture to increase image quality.
(29) In the optical image capturing system of the present invention, the aperture could be a front aperture or a middle aperture, wherein the front aperture is provided between the object and the first lens, and the middle is provided between the first lens and the image plane. The front aperture provides a long distance between an exit pupil of the system and the image plane, which allows more elements to be installed. The middle could enlarge a view angle of view of the system and increase the efficiency of the image sensor. The optical image capturing system satisfies 0.5≤InS/HOS≤1.1, where InS is a distance between the aperture and the image plane. Preferably, the optical image capturing system satisfies 0.6≤InS/HOS≤1. It is helpful for size reduction and wide angle.
(30) The optical image capturing system of the present invention satisfies 0.45≤ΣTP/InTL≤0.95, where InTL is a distance between the object-side surface of the first lens and the image-side surface of the third lens, and ΣTP is a sum of central thicknesses of the lenses on the optical axis. It is helpful for the contrast of image and yield rate of manufacture and provides a suitable back focal length for installation of other elements.
(31) The optical image capturing system of the present invention satisfies 0.1≤|R1/R2|≤3.0, and a preferable range is 0.1≤|R1/R2|≤2.0, where R1 is a radius of curvature of the object-side surface of the first lens, and R2 is a radius of curvature of the image-side surface of the first lens. It provides the first lens with a suitable positive refractive power to reduce the increase rate of the spherical aberration.
(32) The optical image capturing system of the present invention satisfies −200<(R5−R6)/(R5+R6)<30, where R5 is a radius of curvature of the object-side surface of the third lens, and R6 is a radius of curvature of the image-side surface of the third lens. It may modify the astigmatic field curvature.
(33) The optical image capturing system of the present invention satisfies 0<IN12/f≤0.30, where IN12 is a distance on the optical axis between the first lens and the second lens. Preferably, the optical image capturing system satisfies 0.01≤IN12/f≤0.2.5 It may correct chromatic aberration and improve the performance.
(34) The optical image capturing system of the present invention satisfies IN23/f≤0.25, where IN23 is a distance on the optical axis between the second lens and the third lens. It may correct chromatic aberration and improve the performance.
(35) The optical image capturing system of the present invention satisfies 2≤(TP1+IN12)/TP2≤10, where TP1 is a central thickness of the first lens on the optical axis, and TP2 is a central thickness of the second lens on the optical axis. It may control the sensitivity of manufacture of the system and improve the performance.
(36) The optical image capturing system of the present invention satisfies 1.0≤(TP3+IN23)/TP2≤10, where TP3 is a central thickness of the third lens on the optical axis, and IN23 is a distance between the second lens and the third lens. It may control the sensitivity of manufacture of the system and improve the performance.
(37) The optical image capturing system of the present invention satisfies 0.1≤TP1/TP2≤0.6; 0.1≤TP2/TP3≤0.6. It may fine tune and correct the aberration of the incident rays layer by layer, and reduce the height of the system.
(38) The optical image capturing system 10 of the first embodiment further satisfies −1 mm≤InRS31≤1 mm; −1 mm≤InRS32≤1 mm; 1 mm≤|InRS31|+|InRS32|≤2 mm; 0.01≤|InRS31|/TP3≤10; 0.01|InRS32|/TP3≤10, where InRS31 is a displacement from a point on the object-side surface of the third lens, which is passed through by the optical axis, to a point on the optical axis, where a projection of the maximum effective semi diameter of the object-side surface of the third lens ends (if the displacement on the optical axis moves towards the image side, then InRS31 is a positive value; if the displacement on the optical axis moves towards the object side, then InRS31 is a negative value); InRS32 is a displacement from a point on the image-side surface of the third lens, which is passed through by the optical axis, to a point on the optical axis, where a projection of the maximum effective semi diameter of the image-side surface of the third lens ends; and TP3 is a central thickness of the third lens on the optical axis. Whereby, a location of the maximum effective semi diameter between two surfaces of the third lens could be controlled, which helps to correct the aberration of the peripheral view field of the optical image capturing system, and to maintain miniature.
(39) The optical image capturing system of the present invention satisfies 0<SGI311/(SGI311+TP3)≤0.9; 0<SGI321/(SGI321+TP3)≤0.9, and it is preferable to satisfy 0.01<SGI311/(SGI311+TP3)≤0.7; 0.01<SGI321/(SGI321+TP3)≤0.7, where SGI311 is a displacement in parallel with the optical axis, from a point on the object-side surface of the third lens, through which the optical axis passes, to the inflection point on the object-side surface, which is the closest to the optical axis, and SGI321 is a displacement in parallel with the optical axis, from a point on the image-side surface of the third lens, through which the optical axis passes, to the inflection point on the image-side surface, which is the closest to the optical axis.
(40) The optical image capturing system of the present invention satisfies 0<SGI312/(SGI312+TP3)≤0.9; 0<SGI322/(SGI322+TP3)≤0.9, and it is preferable to satisfy 0.1≤SGI312/(SGI312+TP3)≤0.8; 0.1≤SGI322/(SGI322+TP3)≤0.8, where SGI312 is a displacement in parallel with the optical axis, from a point on the object-side surface of the third lens, through which the optical axis passes, to the inflection point on the object-side surface, which is the second closest to the optical axis, and SGI322 is a displacement in parallel with the optical axis, from a point on the image-side surface of the third lens, through which the optical axis passes, to the inflection point on the image-side surface, which is the second closest to the optical axis.
(41) The optical image capturing system of the present invention satisfies 0.01≤HIF311/HOI≤0.9; 0.01≤HIF321/HOI≤0.9, and it is preferable to satisfy 0.09≤HIF311/HOI≤0.5; 0.09≤HIF321/HOI≤0.5, where HIF311 is a distance perpendicular to the optical axis between the inflection point on the object-side surface of the third lens, which is the closest to the optical axis, and the optical axis; HIF321 is a distance perpendicular to the optical axis between the inflection point on the image-side surface of the third lens, which is the closest to the optical axis, and the optical axis.
(42) The optical image capturing system of the present invention satisfies 0.01≤HIF312/HOI≤0.9; 0.01≤HIF322/HOI≤0.9, and it is preferable to satisfy 0.09≤HIF312/HOI≤0.8; 0.09≤HIF322/HOI≤0.8, where HIF312 is a distance perpendicular to the optical axis between the inflection point on the object-side surface of the third lens, which is the second closest to the optical axis, and the optical axis; HIF322 is a distance perpendicular to the optical axis between the inflection point on the image-side surface of the third lens, which is the second closest to the optical axis, and the optical axis.
(43) The optical image capturing system of the present invention satisfies 0.001 mm≤|HIF313|≤5 mm; 0.001 mm≤|HIF323|≤5 mm, and it is preferable to satisfy 0.1 mm≤|HIF323|≤3.5 mm; 0.1 mm≤|HIF313|≤3.5 mm, where HIF313 is a distance perpendicular to the optical axis between the inflection point on the object-side surface of the third lens, which is the third closest to the optical axis, and the optical axis; HIF323 is a distance perpendicular to the optical axis between the inflection point on the image-side surface of the third lens, which is the third closest to the optical axis, and the optical axis.
(44) The optical image capturing system of the present invention satisfies 0.001 mm≤|HIF314|≤5 mm; 0.001 mm≤|HIF324|≤5 mm, and it is preferable to satisfy 0.1 mm≤|HIF324|≤3.5 mm; 0.1 mm≤|HIF314|≤3.5 mm, where HIF314 is a distance perpendicular to the optical axis between the inflection point on the object-side surface of the third lens, which is the fourth closest to the optical axis, and the optical axis; HIF324 is a distance perpendicular to the optical axis between the inflection point on the image-side surface of the third lens, which is the fourth closest to the optical axis, and the optical axis.
(45) In an embodiment, the lenses of high Abbe number and the lenses of low Abbe number are arranged in an interlaced arrangement that could be helpful for correction of aberration of the system.
(46) An equation of aspheric surface is
z=ch.sup.2/[1+[1−(k+1)c.sup.2h.sup.2].sup.0.5]+A4h.sup.4+A6h.sup.6+A8h.sup.8+A10h.sup.10+A12h.sup.12+A14h.sup.14+A16h.sup.16+A18h.sup.18+A20h.sup.20+ (1)
(47) where z is a depression of the aspheric surface; k is conic constant; c is reciprocal of the radius of curvature; and A4, A6, A8, A10, A12, A14, A16, A18, and A20 are high-order aspheric coefficients.
(48) In the optical image capturing system, the lenses could be made of plastic or glass. The plastic lenses may reduce the weight and lower the cost of the system, and the glass lenses may control the thermal effect and enlarge the space for arrangement of the refractive power of the system. In addition, the opposite surfaces (object-side surface and image-side surface) of the first to the third lenses could be aspheric that can obtain more control parameters to reduce aberration. The number of aspheric glass lenses could be less than the conventional spherical glass lenses, which is helpful for reduction of the height of the system.
(49) When the lens has a convex surface, which means that the surface is convex around a position, through which the optical axis passes, and when the lens has a concave surface, which means that the surface is concave around a position, through which the optical axis passes.
(50) In addition, the optical image capturing system of the present invention could be further provided with at least an stop as required, which could reduce stray light to improve the imaging quality.
(51) In the optical image capturing system of the present invention, the aperture could be a front aperture or a middle aperture, wherein the front aperture is provided between the object and the first lens, and the middle is provided between the first lens and the image plane. The front aperture provides a long distance between an exit pupil of the system and the image plane, which allows more elements to be installed. The middle could enlarge a view angle of view of the system and increase the efficiency of the image sensor.
(52) The optical image capturing system of the present invention could be applied in a dynamic focusing optical system. It is superior in the correction of aberration and high imaging quality so that it could be allied in lots of fields.
(53) The optical image capturing system of the present invention could further include a driving module to meet different demands, wherein the driving module can be coupled with the lenses to move the lenses. The driving module can be a voice coil motor (VCM), which is used to move the lens for focusing, or can be an optical image stabilization (OIS) component, which is used to lower the possibility of having the problem of image blurring which is caused by subtle movements of the lens while shooting.
(54) To meet different requirements, at least one lens among the first lens to the third lens of the optical image capturing system of the present invention can be a light filter, which filters out light of wavelength shorter than 500 nm. Such effect can be achieved by coating on at least one surface of the lens, or by using materials capable of filtering out short waves to make the lens.
(55) To meet different requirements, the image plane of the optical image capturing system in the present invention can be either flat or curved. If the image plane is curved (e.g., a sphere with a radius of curvature), the incidence angle required for focusing light on the image plane can be decreased, which is not only helpful to shorten the length of the system (TTL), but also helpful to increase the relative illuminance.
(56) We provide several embodiments in conjunction with the accompanying drawings for the best understanding, which are:
First Embodiment
(57) As shown in
(58) The first lens 110 has positive refractive power and is made of plastic. An object-side surface 112 thereof, which faces the object side, is a convex aspheric surface, and an image-side surface 114 thereof, which faces the image side, is a concave aspheric surface. A profile curve length of the maximum effective half diameter of an object-side surface of the first lens 110 is denoted by ARS11, and a profile curve length of the maximum effective half diameter of the image-side surface of the first lens 110 is denoted by ARS12. A profile curve length of a half of an entrance pupil diameter (HEP) of the object-side surface of the first lens 110 is denoted by ARE11, and a profile curve length of a half of the entrance pupil diameter (HEP) of the image-side surface of the first lens 110 is denoted by ARE12. A thickness of the first lens 110 on the optical axis is TP1.
(59) The second lens 120 has negative refractive power and is made of plastic. An object-side surface 122 thereof, which faces the object side, is a concave aspheric surface, and an image-side surface 124 thereof, which faces the image side, is a convex aspheric surface. The image-side surface 124 has an inflection point. The second lens satisfies SGI221=−0.1526 mm; |SGI221|/(|SGI221|+TP2)=0.2292, where SGI221 is a displacement in parallel with the optical axis from a point on the image-side surface of the second lens, through which the optical axis passes, to the inflection point on the image-side surface closest to the optical axis. A profile curve length of the maximum effective half diameter of an object-side surface of the second lens 120 is denoted by ARS21, and a profile curve length of the maximum effective half diameter of the image-side surface of the second lens 120 is denoted by ARS22. A profile curve length of a half of an entrance pupil diameter (HEP) of the object-side surface of the second lens 120 is denoted by ARE21, and a profile curve length of a half of the entrance pupil diameter (HEP) of the image-side surface of the second lens 120 is denoted by ARS22. A thickness of the second lens 120 on the optical axis is TP2.
(60) The second lens satisfies HIF221=0.5606 mm; HIF221/HOI=0.3128, where a displacement perpendicular to the optical axis from a point on the image-side surface of the second lens, through which the optical axis passes, to the inflection point closest to the optical axis is denoted by HIF221.
(61) The third lens 130 has positive refractive power and is made of plastic. An object-side surface 132, which faces the object side, is a convex aspheric surface, and an image-side surface 134, which faces the image side, is a concave aspheric surface. The object-side surface 132 has two inflection points, and the image-side surface 134 has an inflection point. The third lens 130 satisfies SGI311=0.0180 mm; SGI321=0.0331 mm; |SGI311|/(|SGI311|+TP3)=0.0339; |SGI321|/(|SGI321|+TP3)=0.0605, where SGI311 is a displacement in parallel with the optical axis, from a point on the object-side surface of the third lens, through which the optical axis passes, to the inflection point on the object-side surface, which is the closest to the optical axis, and SGI321 is a displacement in parallel with the optical axis, from a point on the image-side surface of the third lens, through which the optical axis passes, to the inflection point on the image-side surface, which is the closest to the optical axis. A profile curve length of the maximum effective half diameter of an object-side surface of the third lens 130 is denoted by ARS31, and a profile curve length of the maximum effective half diameter of the image-side surface of the third lens 130 is denoted by ARS32. A profile curve length of a half of an entrance pupil diameter (HEP) of the object-side surface of the third lens 130 is denoted by ARE31, and a profile curve length of a half of the entrance pupil diameter (HEP) of the image-side surface of the third lens 130 is denoted by ARS32. A thickness of the third lens 130 on the optical axis is TP3.
(62) The third lens 130 satisfies SGI312=−0.0367 mm; |SGI312|/(|SGI312|+TP3)=0.0668, where SGI312 is a displacement in parallel with the optical axis, from a point on the object-side surface of the third lens, through which the optical axis passes, to the inflection point on the object-side surface second closest to the optical axis.
(63) The third lens 130 further satisfies HIF311=0.2298 mm; HIF321=0.3393 mm; HIF311/HOI=0.1282; HIF321/HOI=0.1893, where HIF311 is a distance perpendicular to the optical axis between the inflection point on the object-side surface of the third lens, which is the closest to the optical axis, and the optical axis; HIF321 is a distance perpendicular to the optical axis between the inflection point on the image-side surface of the third lens, which is the closest to the optical axis, and the optical axis.
(64) The third lens 130 satisfies HIF312=0.8186 mm; HIF312/HOI=0.4568, where HIF312 is a distance perpendicular to the optical axis between the inflection point on the object-side surface of the third lens second closest to the optical axis and the optical axis.
(65) The infrared rays filter 170 is made of glass and between the third lens 130 and the image plane 180. The infrared rays filter 170 gives no contribution to the focal length of the system.
(66) The optical image capturing system 10 of the first embodiment has the following parameters, which are f=2.42952 mm; f/HEP=2.02; and HAF=35.87 degrees; and tan(HAF)=0.7231, where f is a focal length of the system; HAF is a half of the maximum field angle; and HEP is an entrance pupil diameter.
(67) The parameters of the lenses of the first embodiment are f1=2.27233 mm; |f/f1|=1.0692; f3=7.0647 mm; f3; and |f1/f3|=0.3216, where f1 is a focal length of the first lens 110; and f3 is a focal length of the third lens 130.
(68) The first embodiment further satisfies f2=−5.2251 mm; and |f2|>|f1|, where f2 is a focal length of the second lens 120, and f3 is a focal length of the third lens 130.
(69) The optical image capturing system 10 of the first embodiment further satisfies ΣPPR=f/f1+f/f3=1.4131; ΣNPR=f/f2=0.4650; ΣPPR/|ΣNPR|=3.0391; |f/f3|=0.3439; |f1/f2|=0.4349; |f2/f3|=0.7396, where PPR is a ratio of a focal length f of the optical image capturing system to a focal length fp of each of the lenses with positive refractive power; and NPR is a ratio of a focal length fn of the optical image capturing system to a focal length fn of each of lenses with negative refractive power.
(70) The optical image capturing system 10 of the first embodiment further satisfies InTL+InB=HOS; HOS=2.9110 mm; HOI=1.792 mm; HOS/HOI=1.6244; HOS/f=1.1982; InTL/HOS=0.7008; InS=2.25447 mm; and InS/HOS=0.7745, where InTL is a distance between the object-side surface 112 of the first lens 110 and the image-side surface 134 of the third lens 130; HOS is a height of the image capturing system, i.e. a distance between the object-side surface 112 of the first lens 110 and the image plane 180; InS is a distance between the aperture 100 and the image plane 180; HOI is a half of a diagonal of an effective sensing area of the image sensor 190, i.e., the maximum image height; and InB is a distance between the image-side surface 134 of the third lens 130 and the image plane 180.
(71) The optical image capturing system 10 of the first embodiment further satisfies ΣTP=1.4198 mm; and ΣTP/InTL=0.6959, where ΣTP is a sum of the thicknesses of the lenses 110-130 with refractive power. It is helpful for the contrast of image and yield rate of manufacture and provides a suitable back focal length for installation of other elements.
(72) The optical image capturing system 10 of the first embodiment further satisfies |R1/R2|=0.3849, where R1 is a radius of curvature of the object-side surface 112 of the first lens 110, and R2 is a radius of curvature of the image-side surface 114 of the first lens 110. It provides the first lens with a suitable positive refractive power to reduce the increase rate of the spherical aberration.
(73) The optical image capturing system 10 of the first embodiment further satisfies (R5−R6)/(R5+R6)=−0.0899, where R5 is a radius of curvature of the object-side surface 132 of the third lens 130, and R6 is a radius of curvature of the image-side surface 134 of the third lens 130. It may modify the astigmatic field curvature.
(74) The optical image capturing system 10 of the first embodiment further satisfies ΣPP=f1+f3=9.3370 mm; and f1/(f1+f3)=0.2434, where ΣPP is a sum of the focal lengths fp of each lens with positive refractive power. It is helpful to share the positive refractive power of the first lens 110 to the other positive lens to avoid the significant aberration caused by the incident rays.
(75) The optical image capturing system 10 of the first embodiment further satisfies ΣNP=f2=−5.2251 mm, where ΣNP is a sum of the focal length fn of each lens with negative refractive power. It is helpful to avoid the significant aberration caused by the incident rays.
(76) The optical image capturing system 10 of the first embodiment further satisfies IN12=0.4068 mm; IN12/f=0.1674, where IN12 is a distance on the optical axis between the first lens 110 and the second lens 120. It may correct chromatic aberration and improve the performance.
(77) The optical image capturing system 10 of the first embodiment further satisfies TP1=0.5132 mm; TP2=0.3363 mm; and (TP1+IN12)/TP2=2.7359, where TP1 is a central thickness of the first lens 110 on the optical axis, and TP2 is a central thickness of the second lens 120 on the optical axis. It may control the sensitivity of manufacture of the system and improve the performance.
(78) The optical image capturing system 10 of the first embodiment further satisfies (TP3+IN23)/TP2=2.3308, where TP3 is a central thickness of the third lens 130 on the optical axis, and IN23 is a distance on the optical axis between the first lens 110 and the second lens 120. It may control the sensitivity of manufacture of the system and lower the total height of the system.
(79) The optical image capturing system 10 of the first embodiment further satisfies TP2/(IN12+TP2+IN23)=0.35154; TP1/TP2=1.52615; TP2/TP3=0.58966. It may control the sensitivity of manufacture of the system and lower the total height of the system.
(80) The optical image capturing system of the present invention satisfies TP2/ΣTP=0.2369, where ΣTP is a sum of central thicknesses of the first lens 110 to the third lens 130 on the optical axis. It may fine tune and correct the aberration of the incident rays, and reduce the height of the system.
(81) The optical image capturing system 10 of the first embodiment further satisfies InRS31=−0.1097 mm; InRS32=−0.3195 mm; |InRS31|+|InRS32|=0.42922 mm; |InRS31|/TP3=0.1923; and |InRS32|/TP3=0.5603, where InRS31 is a displacement from a point on the object-side surface 132 of the third lens 130 passed through by the optical axis to a point on the optical axis where a projection of the maximum effective semi diameter of the object-side surface 132 of the third lens 130 ends; InRS32 is a displacement from a point on the image-side surface 134 of the third lens 130 passed through by the optical axis to a point on the optical axis where a projection of the maximum effective semi diameter of the image-side surface 134 of the third lens 130 ends; and TP3 is a central thickness of the third lens 130 on the optical axis. It is helpful for manufacturing and shaping of the lenses and is helpful to reduce the size.
(82) The optical image capturing system 10 of the first embodiment further satisfies HVT31=0.4455 mm; HVT32=0.6479 mm; HVT31/HVT32=0.6876, where HVT31 is a distance perpendicular to the optical axis between the critical point C31 on the object-side surface 132 of the third lens and the optical axis; and HVT32 is a distance perpendicular to the optical axis between the critical point C32 on the image-side surface 134 of the third lens and the optical axis.
(83) The optical image capturing system 10 of the first embodiment satisfies HVT32/HOI=0.3616. It is helpful for correction of the aberration of the peripheral view field of the optical image capturing system.
(84) The optical image capturing system 10 of the first embodiment satisfies HVT32/HOS=0.2226. It is helpful for correction of the aberration of the peripheral view field of the optical image capturing system.
(85) The second lens 120 and the third lens 130 have negative refractive power. The optical image capturing system 10 of the first embodiment further satisfies |NA1−NA2|=33.5951; NA3/NA2=2.4969, where NA1 is an Abbe number of the first lens 110; NA2 is an Abbe number of the second lens 120; and NA3 is an Abbe number of the third lens 130. It may correct the aberration of the optical image capturing system.
(86) The optical image capturing system 10 of the first embodiment further satisfies |TDT|=1.2939%; |ODT|=1.4381%, where TDT is TV distortion; and ODT is optical distortion.
(87) For the third lens 130 of the optical image capturing system 10 in the first embodiment, a transverse aberration at 0.7 field of view in the positive direction of the tangential fan after the longest operation wavelength passing through the edge of the aperture 100 is denoted by PLTA, and is 0.0028 mm (pixel size is 1.12 μm); a transverse aberration at 0.7 field of view in the positive direction of the tangential fan after the shortest operation wavelength passing through the edge of the aperture 100 is denoted by PSTA, and is 0.0163 mm (pixel size is 1.12 μm); a transverse aberration at 0.7 field of view in the negative direction of the tangential fan after the longest operation wavelength passing through the edge of the aperture 100 is denoted by NLTA, and is 0.0118 mm (pixel size is 1.12 μm); a transverse aberration at 0.7 field of view in the negative direction of the tangential fan after the shortest operation wavelength passing through the edge of the aperture 100 is denoted by NSTA, and is −0.0019 mm (pixel size is 1.12 μm); a transverse aberration at 0.7 field of view of the sagittal fan after the longest operation wavelength passing through the edge of the aperture 100 is denoted by SLTA, and is −0.0103 mm (pixel size is 1.12 μm); a transverse aberration at 0.7 field of view of the sagittal fan after the shortest operation wavelength passing through the edge of the aperture 100 is denoted by SSTA, and is 0.0055 mm (pixel size is 1.12 μm).
(88) The parameters of the lenses of the first embodiment are listed in Table 1 and Table 2.
(89) TABLE-US-00001 TABLE 1 f = 2.42952 mm; f/HEP = 2.02; HAF = 35.87 deg; tan(HAF) = 0.7231 Radius of curvature Thickness Refractive Abbe Focal length Surface (mm) (mm) Material index number (mm) 0 Object plane 600 1 1.sup.st lens 0.848804821 0.513 plastic 1.535 56.070 2.273 2 2.205401548 0.143 3 Aperture plane 0.263 4 2.sup.nd lens −1.208297825 0.336 plastic 1.643 22.470 −5.225 5 −2.08494476 0.214 6 3.sup.rd lens 1.177958479 0.570 plastic 1.544 56.090 7.012 7 1.410696843 0.114 8 Infrared plane 0.210 BK7_SCHOTT rays filter 9 plane 0.550 10 Image plane 0.000 plane Reference wavelength: 555 mm; the position of blocking light: the clear aperture of the first surface is 0.640 mm
(90) TABLE-US-00002 TABLE 2 Coefficients of the aspheric surfaces Surface 1 2 4 5 6 7 k 1.22106E−01 1.45448E+01 8.53809E−01 4.48992E−01 −1.44104E+01 −3.61090E+00 A4 −6.43320E−04 −9.87186E−02 −7.81909E−01 −1.69310E+00 −7.90920E−01 −5.19895E−01 A6 −2.58026E−02 2.63247E+00 −8.49939E−01 5.85139E+00 4.98290E−01 4.24519E−01 A8 1.00186E+00 −5.88099E+01 3.03407E+01 −1.67037E+01 2.93540E−01 −3.12444E−01 A10 −4.23805E+00 5.75648E+02 −3.11976E+02 2.77661E+01 −3.15288E−01 1.42703E−01 A12 9.91922E+00 −3.00096E+03 1.45641E+03 −5.46620E+00 −9.66930E−02 −2.76209E−02 A14 −1.17917E+01 7.91934E+03 −2.89774E+03 −2.59816E+01 1.67006E−01 −3.11872E−03 A16 8.87410E+00 −8.51578E+03 1.35594E+03 1.43091E+01 −4.43712E−02 1.34499E−03 A18 0.00000E+00 0.00000E+00 0.00000E+00 0.00000E+00 0.00000E+00 0.00000E+00 A20 0.00000E+00 0.00000E+00 0.00000E+00 0.00000E+00 0.00000E+00 0.00000E+00
(91) The figures related to the profile curve lengths obtained based on Table 1 and Table 2 are listed in the following table:
(92) TABLE-US-00003 First embodiment (Reference wavelength: 555 nm) ARE ARE − 2(ARE/ ARE/ ARE ½(HEP) value ½(HEP) HEP) % TP TP (%) 11 0.604 0.678 0.074 112.28% 0.513 132.12% 12 0.506 0.511 0.005 101.08% 0.513 99.66% 21 0.509 0.552 0.043 108.36% 0.336 164.03% 22 0.604 0.640 0.036 106.04% 0.336 190.42% 31 0.604 0.606 0.002 100.28% 0.570 106.18% 32 0.604 0.607 0.003 100.50% 0.570 106.41% ARS ARS − (ARS/ ARS/ ARS EHD value EHD EHD)% TP TP (%) 11 0.640 0.736 0.096 114.97% 0.513 143.37% 12 0.506 0.511 0.005 101.08% 0.513 99.66% 21 0.509 0.552 0.043 108.36% 0.336 164.03% 22 0.710 0.758 0.048 106.79% 0.336 225.48% 31 1.091 1.111 0.020 101.83% 0.570 194.85% 32 1.340 1.478 0.138 110.32% 0.570 259.18%
(93) The detail parameters of the first embodiment are listed in Table 1, in which the unit of the radius of curvature, thickness, and focal length are millimeter, and surface 0-10 indicates the surfaces of all elements in the system in sequence from the object side to the image side. Table 2 is the list of coefficients of the aspheric surfaces, in which A1-A20 indicate the coefficients of aspheric surfaces from the first order to the twentieth order of each aspheric surface. The following embodiments have the similar diagrams and tables, which are the same as those of the first embodiment, so we do not describe it again.
Second Embodiment
(94) As shown in
(95) The first lens 210 has positive refractive power and is made of plastic. An object-side surface 212 thereof, which faces the object side, is a convex aspheric surface, and an image-side surface 214 thereof, which faces the image side, is a convex aspheric surface.
(96) The second lens 220 has positive refractive power and is made of plastic. An object-side surface 222 thereof, which faces the object side, is a concave aspheric surface, and an image-side surface 224 thereof, which faces the image side, is a convex aspheric surface. The object-side surface 222 and the image-side surface 224 both have an inflection point.
(97) The third lens 230 has negative refractive power and is made of plastic. An object-side surface 232, which faces the object side, is a convex aspheric surface, and an image-side surface 234, which faces the image side, is a concave aspheric surface. The object-side surface 232 and the image-side surface 234 both have an inflection point.
(98) The infrared rays filter 270 is made of glass and between the third lens 230 and the image plane 280. The infrared rays filter 270 gives no contribution to the focal length of the system.
(99) The parameters of the lenses of the second embodiment are listed in Table 3 and Table 4.
(100) TABLE-US-00004 TABLE 3 f = 0.9994 mm; f/HEP = 2.0414; HAF = 38.8126 deg Radius of curvature Thickness Refractive Abbe Focal length Surface (mm) (mm) Material index number (mm) 0 Object 1E+18 600 1 1E+18 0.000 2 1.sup.st lens 0.727726867 0.219 plastic 1.535 55.688 1.176 3 −4.260379542 −0.010 4 Aperture 1E+18 0.174 5 2.sup.nd lens −0.424865845 0.281 plastic 1.535 55.688 0.555 6 −0.215521363 0.018 7 3.sup.rd lens 2.013813486 0.145 plastic 1.671 19.233 −0.659 8 0.354866619 0.091 9 Infrared 1E+18 0.145 BK7_SCHOTT 1.517 64.137 rays filter 10 Image 1E+18 0.382 plane Reference wavelength: 555 nm; the position of blocking light: the clear aperture of the first surface is 0.279 mm; the clear aperture of the sixth surface is 0.394 mm.
(101) TABLE-US-00005 TABLE 4 Coefficients of the aspheric surfaces Surface 2 3 5 6 7 8 k −1.800681E+00 −6.992924E+02 −1.403136E+01 −4.656570E+00 −2.260879E+02 −9.700554E+00 A4 2.677063E−01 −5.396646E+00 −1.866688E+01 −2.070022E+01 −2.031115E+00 −4.405551E+00 A6 −1.317500E+02 1.812408E+02 1.555455E+02 4.621414E+02 4.529216E+00 3.366285E+01 A8 8.239498E+03 −7.428431E+03 6.331536E+03 −7.915026E+03 −1.562223E+02 −2.414420E+02 A10 −2.491739E+05 2.561140E+05 −3.443620E+05 8.611598E+04 8.160027E+02 1.042740E+03 A12 3.810196E+06 −6.429725E+06 7.038025E+06 −5.683536E+05 3.964910E+02 −2.332303E+03 A14 −2.855733E+07 9.096302E+07 −5.829145E+07 2.295657E+06 6.281934E+03 1.883332E+03 A16 8.303720E+07 −5.167201E+08 7.899108E+06 −5.219291E+06 −6.812604E+03 −1.935801E+03 A18 0.000000E+00 0.000000E+00 2.342135E+09 3.996043E+06 −1.776870E+06 1.072431E+04 A20 0.000000E+00 0.000000E+00 −7.817283E+09 1.008407E+07 7.235509E+06 −1.123293E+04
(102) An equation of the aspheric surfaces of the second embodiment is the same as that of the first embodiment, and the definitions are the same as well.
(103) The exact parameters of the second embodiment based on Table 3 and Table 4 are listed in the following table:
(104) TABLE-US-00006 Second embodiment (Reference wavelength: 555 nm) |f/f1| |f/f2| |f/f3| |f1/f2| |f2/f3| TP1/TP2 0.84976 1.80068 1.51548 0.47191 1.18820 0.78118 ΣPPR ΣNPR ΣPPR/|ΣNPR| IN12/f IN23/f TP2/TP3 2.36524 1.80068 1.31352 0.16344 0.01785 1.93665 TP2/(IN12 + TP2 + IN23) (TP1 + IN12)/TP2 (TP3 + IN23)/TP2 0.60774 0.57990 0.57990 HOS InTL HOS/HOI InS/HOS ODT % TDT % 1.44450 0.82607 1.76159 0.85529 2.02164 1.46166 HVT21 HVT22 HVT31 HVT32 HVT32/HOI HVT32/HOS 0 0 0.186513 0.334112 0.40745 0.23130 f2/f3 CT1/CT2 CT2/CT3 (R1 − R2)/(R1 + R2) (R3 − R4)/(R3 + R4) (R5 − R6)/(R5 + R6) −0.8416 0.7812 1.9366 −1.4120 0.3269 0.7004 PLTA PSTA NLTA NSTA SLTA SSTA −0.006 mm −0.002 mm 0.018 mm 0.009 mm 0.005 mm 0.008 mm
(105) The results of the equations of the second embodiment based on Table 3 and Table 4 are listed in the following table:
(106) TABLE-US-00007 Values related to the inflection points of the second embodiment (Reference wavelength: 555 nm) HIF211 0.2337 HIF211/HOI 0.2850 SGI211 −0.0700 |SGI211|/(|SGI211| + TP2) 0.2420 HIF221 0.2918 HIF221/HOI 0.3559 SGI221 −0.1555 |SGI221|/(|SGI221| + TP2) 0.4149 HIF311 0.1024 HIF311/HOI 0.1249 SGI311 0.0021 |SGI311|/(|SGI311| + TP3) 0.0094 HIF321 0.1426 HIF321/HOI 0.1739 SGI321 0.0209 |SGI321|/(|SGI321| + TP3) 0.0870
(107) The figures related to the profile curve lengths obtained based on Table 3 and Table 4 are listed in the following table:
(108) TABLE-US-00008 Second embodiment (Reference wavelength: 555 nm) ARE ARE − 2(ARE/ ARE/ ARE ½(HEP) value ½(HEP) HEP) % TP TP (%) 11 0.245 0.249 0.00349 101.42% 0.219 113.40% 12 0.230 0.229 −0.00018 99.92% 0.219 104.66% 21 0.245 0.260 0.01529 106.24% 0.281 92.79% 22 0.245 0.275 0.03010 112.28% 0.281 98.07% 31 0.245 0.245 −0.00007 99.97% 0.145 169.10% 32 0.245 0.249 0.00358 101.46% 0.145 171.62% ARS ARS − (ARS/ ARS/ ARS EHD value EHD EHD)% TP TP (%) 11 0.268 0.273 0.00425 101.59% 0.219 124.28% 12 0.230 0.229 −0.00018 99.92% 0.219 104.66% 21 0.267 0.284 0.01771 106.64% 0.281 101.34% 22 0.394 0.466 0.07183 118.23% 0.281 165.96% 31 0.405 0.418 0.01358 103.35% 0.145 288.66% 32 0.519 0.535 0.01554 102.99% 0.145 369.08%
Third Embodiment
(109) As shown in
(110) The first lens 310 has positive refractive power and is made of plastic. An object-side surface 312 thereof, which faces the object side, is a convex aspheric surface, and an image-side surface 314 thereof, which faces the image side, is a convex aspheric surface. The object-side surface 312 has an inflection point.
(111) The second lens 320 has positive refractive power and is made of plastic. An object-side surface 322 thereof, which faces the object side, is a concave aspheric surface, and an image-side surface 324 thereof, which faces the image side, is a convex aspheric surface. The object-side surface 322 and the image-side surface 324 both have an inflection point.
(112) The third lens 330 has negative refractive power and is made of plastic. An object-side surface 332 thereof, which faces the object side, is a convex aspheric surface, and an image-side surface 334 thereof, which faces the image side, is a concave aspheric surface. The object-side surface 332 and the image-side surface 334 both have an inflection point.
(113) The infrared rays filter 370 is made of glass and between the third lens 330 and the image plane 380. The infrared rays filter 390 gives no contribution to the focal length of the system.
(114) The parameters of the lenses of the third embodiment are listed in Table 5 and Table 6.
(115) TABLE-US-00009 TABLE 5 f = 1.0044 mm; f/HEP = 2.2900; HAF = 38.9681 deg Radius of curvature Thickness Refractive Abbe Focal length Surface (mm) (mm) Material index number (mm) 0 Object 1E+18 600 1 1E+18 0.000 2 1.sup.st lens 0.832964003 0.178 plastic 1.535 56.049 1.219 3 −2.814919865 −0.011 4 Aperture 1E+18 0.192 5 2.sup.nd lens −0.417824581 0.293 plastic 1.535 56.049 0.512 6 −0.206205191 0.027 7 3.sup.rd lens 2.866406055 0.141 plastic 1.671 19.233 −0.608 8 0.35317029 0.091 9 Infrared 1E+18 0.145 BK7_SCHOTT 1.517 64.137 rays filter 10 Image 1E+18 0.399 plane Reference wavelength: 555 nm; the position of blocking light: the clear aperture of the first surface is 0.270 mm; the clear aperture of the sixth surface is 0.397 mm.
(116) TABLE-US-00010 TABLE 6 Coefficients of the aspheric surfaces Surface 2 3 5 6 7 8 k 3.772566E−02 2.482659E+01 −3.098837E+00 −4.311736E+00 −1.049793E+02 −1.109668E+01 A4 1.208005E+00 −2.896627E+00 −8.069277E+00 −2.168556E+01 −4.912998E+00 −5.429717E+00 A6 −1.089570E+02 8.479110E+01 −1.040864E+02 4.560235E+02 2.819338E+01 4.029712E+01 A8 4.350349E+03 −6.099807E+03 8.963435E+03 −7.777411E+03 −1.404312E+02 −2.521708E+02 A10 −1.822628E+05 2.477301E+05 −3.224346E+05 8.680706E+04 4.589767E+02 1.002381E+03 A12 4.309733E+06 −5.903811E+06 6.697130E+06 −5.845315E+05 −1.705293E+03 −2.214136E+03 A14 −4.914249E+07 7.627264E+07 −6.315750E+07 2.294314E+06 −6.215813E+03 1.748449E+03 A16 2.118351E+08 −4.153807E+08 −5.057425E+07 −4.241519E+06 1.370716E+05 1.874210E+02 A18 0.000000E+00 0.000000E+00 5.400457E+09 1.160409E+06 −5.778384E+05 8.991064E+03 A20 0.000000E+00 0.000000E+00 −2.786234E+10 1.649246E+06 7.660832E+05 −1.983525E+04
(117) An equation of the aspheric surfaces of the third embodiment is the same as that of the first embodiment, and the definitions are the same as well.
(118) The exact parameters of the third embodiment based on Table 5 and Table 6 are listed in the following table:
(119) TABLE-US-00011 Third embodiment (Reference wavelength: 555 nm) |f/f1| |f/f2| |f/f3| |f1/f2| |f2/f3| TP1/TP2 0.82387 1.96308 1.65130 0.41968 1.18881 0.60675 ΣPPR ΣNPR ΣPPR/|ΣNPR| IN12/f IN23/f TP2/TP3 2.47516 1.96308 1.26086 0.17978 0.02683 2.08144 TP2/(IN12 + TP2 + IN23) (TP1 + IN12)/TP2 (TP3 + IN23)/TP3 0.58550 0.57236 0.57236 HOS InTL HOS/HOI InS/HOS ODT % TDT % 1.45456 0.81936 1.77385 0.88557 −1.60044 2.40923 HVT21 HVT22 HVT31 HVT32 HVT32/HOI HVT32/HOS 0 0 0.13641 0.304956 0.37190 0.20966 f2/f3 CT1/CT2 CT2/CT3 (R1 − R2)/(R1 + R2) (R3 − R4)/(R3 + R4) (R5 − R6)/(R5 + R6) −0.8412 0.6067 2.0814 −1.8405 0.3391 0.7806 PLTA PSTA NLTA NSTA SLTA SSTA −0.002 mm 0.002 mm 0.003 mm −0.006 mm 0.001 mm 0.004 mm
(120) The results of the equations of the third embodiment based on Table 5 and Table 6 are listed in the following table:
(121) TABLE-US-00012 Values related to the inflection points of the third embodiment (Reference wavelength: 555 nm) HIF111 0.2123 HIF111/HOI 0.2589 SGI111 0.025231 |SGI111|/(|SGI111| + TP1) 0.1242 HIF211 0.2348 HIF211/HOI 0.2864 SGI211 −0.0769 |SGI211|/(|SGI211| + TP2) 0.3018 HIF221 0.2878 HIF221/HOI 0.3510 SGI221 −0.1615 |SGI221|/(|SGI221| + TP2) 0.4760 HIF311 0.0760 HIF311/HOI 0.0927 SGI311 0.0008 |SGI311|/(|SGI311| + TP3) 0.0047 HIF321 0.1279 HIF321/HOI 0.1560 SGI321 0.017061 |SGI321|/(|SGI321| + TP3) 0.0875
(122) The figures related to the profile curve lengths obtained based on Table 5 and Table 6 are listed in the following table:
(123) TABLE-US-00013 Third embodiment (Reference wavelength: 555 nm) ARE ARE − 2(ARE/ ARE/ ARE ½(HEP) value ½(HEP) HEP) % TP TP (%) 11 0.220 0.221 0.00138 100.63% 0.178 124.27% 12 0.211 0.212 0.00061 100.29% 0.178 119.00% 21 0.220 0.232 0.01273 105.79% 0.293 79.27% 22 0.220 0.245 0.02486 111.32% 0.293 83.41% 31 0.220 0.219 −0.00056 99.75% 0.141 155.57% 32 0.220 0.222 0.00214 100.97% 0.141 157.48% ARS ARS − (ARS/ ARS/ ARS EHD value EHD EHD)% TP TP (%) 11 0.254 0.256 0.00175 100.69% 0.178 143.70% 12 0.211 0.212 0.00061 100.29% 0.178 119.00% 21 0.256 0.276 0.02000 107.80% 0.293 94.26% 22 0.397 0.471 0.07368 118.56% 0.293 160.57% 31 0.416 0.425 0.00978 102.35% 0.141 302.11% 32 0.507 0.518 0.01037 102.04% 0.141 367.50%
Fourth Embodiment
(124) As shown in
(125) The first lens 410 has positive refractive power and is made of plastic. An object-side surface 412 thereof, which faces the object side, is a convex aspheric surface, and an image-side surface 414 thereof, which faces the image side, is a convex aspheric surface. The object-side surface 412 has an inflection point.
(126) The second lens 420 has positive refractive power and is made of plastic. An object-side surface 422 thereof, which faces the object side, is a concave aspheric surface, and an image-side surface 424 thereof, which faces the image side, is a convex aspheric surface. The object-side surface 422 and the image-side surface 424 both have an inflection point.
(127) The third lens 430 has negative refractive power and is made of plastic. An object-side surface 432 thereof, which faces the object side, is a convex aspheric surface, and an image-side surface 434 thereof, which faces the image side, is a concave aspheric surface. The object-side surface 432 and the image-side surface 434 both have an inflection point.
(128) The infrared rays filter 470 is made of glass and between the third lens 430 and the image plane 480. The infrared rays filter 470 gives no contribution to the focal length of the system.
(129) The parameters of the lenses of the fourth embodiment are listed in Table 7 and Table 8.
(130) TABLE-US-00014 TABLE 7 f = 1.0060 mm; f/HEP = 2.2006; HAF = 38.7174 deg Radius of curvature Thickness Refractive Abbe Focal length Surface (mm) (mm) Material index number (mm) 0 Object 1E+18 600 1 1E+18 0.000 2 1.sup.st lens 0.770326386 0.220 plastic 1.535 55.688 1.152 3 −2.823671437 −0.012 4 Aperture 1E+18 0.189 5 2.sup.nd lens −0.386310067 0.273 plastic 1.535 55.688 0.712 6 −0.239522122 0.027 7 3.sup.rd lens 0.862101725 0.140 plastic 1.671 19.233 −0.864 8 0.325857965 0.091 9 Infrared 1E+18 0.145 BK7_SCHOTT 1.517 64.137 rays filter 10 Image 1E+18 0.375 plane Reference wavelength: 555 nm; the position of blocking light: the clear aperture of the first surface is 0.274 mm.
(131) TABLE-US-00015 TABLE 8 Coefficients of the aspheric surfaces Surface 2 3 5 6 7 8 k −4.453205E+00 8.666831E+01 −9.745885E+00 −4.018050E+00 −1.364895E+02 −9.556921E+00 A4 −2.137429E−01 −6.404665E+00 −1.511289E+01 −2.152573E+01 −5.411161E+00 −5.937930E+00 A6 −4.120952E+01 2.774083E+02 −7.763955E+01 4.550446E+02 3.233613E+01 4.579964E+01 A8 5.136848E+03 −7.825239E+03 9.953576E+03 −7.730333E+03 −1.152236E+02 −2.670342E+02 A10 −2.262997E+05 1.824968E+05 −3.201198E+05 8.668565E+04 2.408465E+02 9.629067E+02 A12 4.393813E+06 −5.758541E+06 6.593271E+06 −5.773985E+05 −2.076896E+03 −2.099876E+03 A14 −3.971757E+07 1.204100E+08 −6.521355E+07 2.273431E+06 −6.990328E+03 2.131671E+03 A16 1.360585E+08 −9.359677E+08 −2.988393E+07 −4.629013E+06 1.272635E+05 1.236986E+02 A18 0.000000E+00 0.000000E+00 5.408610E+09 1.455364E+06 −5.202241E+05 −2.793754E+03 A20 0.000000E+00 0.000000E+00 −2.753335E+10 1.537597E+07 1.095592E+06 6.572292E+03
(132) An equation of the aspheric surfaces of the fourth embodiment is the same as that of the first embodiment, and the definitions are the same as well.
(133) The exact parameters of the fourth embodiment based on Table 7 and Table 8 are listed in the following table:
(134) TABLE-US-00016 Fourth embodiment (Reference wavelength: 555 nm) |f/f1| |f/f2| |f/f3| |f1/f2| |f2/f3| TP1/TP2 0.87318 1.41315 1.16395 0.61790 1.21410 0.80485 ΣPPR ΣNPR ΣPPR/|ΣNPR| IN12/f IN23/f TP2/TP3 2.03713 1.41315 1.44155 0.17554 0.02666 1.95028 TP2/(IN12 + TP2 + IN23) (TP1 + IN12)/TP2 (TP3 + IN23)/TP2 0.57303 0.61100 0.61100 HOS InTL HOS/HOI InS/HOS ODT % TDT % 1.44716 0.83617 1.76483 0.85645 2.41996 1.28326 HVT21 HVT22 HVT31 HVT32 HVT32/HOI HVT32/HOS 0 0 0.166775 0.315705 0.3850 0.2182 f2/f3 CT1/CT2 CT2/CT3 (R1 − R2)/(R1 + R2) (R3 − R4)/(R3 + R4) (R5 − R6)/(R5 + R6) −0.8237 −1.3330 0.8049 1.9503 −1.7503 0.2345 PLTA PSTA NLTA NSTA SLTA SSTA −0.004 mm 0 mm 0.010 mm 0.001 mm −0.003 mm 0 mm
(135) The results of the equations of the fourth embodiment based on Table 7 and Table 8 are listed in the following table:
(136) TABLE-US-00017 Values related to the inflection points of the fourth embodiment (Reference wavelength: 555 nm) HIF111 0.2338 HIF111/HOI 0.2851 SGI111 0.031226 |SGI111|/(|SGI111| + TP1) 0.1244 HIF211 0.2286 HIF211/HOI 0.2788 SGI211 −0.07301 |SGI211|/(|SGI211| + TP2) 0.2494 HIF221 0.2731 HIF221/HOI 0.3330 SGI221 −0.14124 |SGI221|/(|SGI221| + TP2) 0.3913 HIF311 0.0791 HIF311/HOI 0.0965 SGI311 0.002744 |SGI311|/(|SGI311| + TP3) 0.0123 HIF321 0.1285 HIF321/HOI 0.1567 SGI321 0.01862 |SGI321|/(|SGI321| + TP3) 0.0781
(137) The figures related to the profile curve lengths obtained based on Table 7 and Table 8 are listed in the following table:
(138) TABLE-US-00018 Fourth embodiment (Reference wavelength: 555 nm) ARE ARE − 2(ARE/ ARE/ ARE ½(HEP) value ½(HEP) HEP) % TP TP (%) 11 0.229 0.230 0.00151 100.66% 0.220 104.88% 12 0.217 0.218 0.00078 100.36% 0.220 99.12% 21 0.229 0.243 0.01396 106.10% 0.273 88.97% 22 0.229 0.255 0.02567 111.21% 0.273 93.26% 31 0.229 0.228 −0.00077 99.66% 0.140 163.00% 32 0.229 0.231 0.00244 101.07% 0.140 165.30% ARS ARS − (ARS/ ARS/ ARS EHD value EHD EHD)% TP TP (%) 11 0.266 0.268 0.00228 100.86% 0.220 122.09% 12 0.217 0.218 0.00078 100.36% 0.220 99.12% 21 0.262 0.281 0.01918 107.32% 0.273 102.95% 22 0.344 0.404 0.05991 117.42% 0.273 147.88% 31 0.427 0.445 0.01740 104.07% 0.140 317.62% 32 0.538 0.560 0.02205 104.10% 0.140 400.29%
Fifth Embodiment
(139) As shown in
(140) The first lens 510 has positive refractive power and is made of plastic. An object-side surface 512, which faces the object side, is a convex aspheric surface, and an image-side surface 514, which faces the image side, is a convex aspheric surface. The object-side surface 512 has an inflection point.
(141) The second lens 520 has positive refractive power and is made of plastic. An object-side surface 522 thereof, which faces the object side, is a concave aspheric surface, and an image-side surface 524 thereof, which faces the image side, is a convex aspheric surface. The object-side surface 522 and the image-side surface 524 both have an inflection point.
(142) The third lens 530 has negative refractive power and is made of plastic. An object-side surface 532, which faces the object side, is a convex aspheric surface, and an image-side surface 534, which faces the image side, is a concave aspheric surface. The object-side surface 532 has an inflection point, and the image-side surface 534 has an inflection point.
(143) The infrared rays filter 570 is made of glass and between the third lens 530 and the image plane 580. The infrared rays filter 570 gives no contribution to the focal length of the system.
(144) The parameters of the lenses of the fifth embodiment are listed in Table 9 and Table 10.
(145) TABLE-US-00019 TABLE 9 f = 0.9906 mm; f/HEP = 2.2004; HAF = 39.3625 deg Radius of curvature Thickness Refractive Abbe Focal length Surface (mm) (mm) Material index number (mm) 0 Object 1E+18 600 1 1E+18 0.000 2 1.sup.st lens 0.755560397 0.220 plastic 1.535 55.69 1.164 3 −3.24140231 −0.012 4 Aperture 1E+18 0.170 5 2.sup.nd lens −0.385118635 0.269 plastic 1.567 37.32 0.655 6 −0.237712279 0.027 7 3.sup.rd lens 1.219426548 0.141 plastic 1.661 20.37 −0.831 8 0.363399746 0.091 9 Infrared 1E+18 0.145 BK7_SCHOTT 1.517 64.14 rays filter 10 Image 1E+18 0.395 plane Reference wavelength: 555 nm; the position of blocking light: the clear aperture of the first surface is 0.254 mm.
(146) TABLE-US-00020 TABLE 10 Coefficients of the aspheric surfaces Surface 2 3 5 6 7 8 k −8.631669E−01 1.163816E+02 −1.422326E+01 −3.900128E+00 −3.887160E+02 −1.101600E+01 A4 6.436758E−01 −5.315387E+00 −2.455783E+01 −2.061046E+01 −3.063321E+00 −4.563956E+00 A6 −1.596018E+02 2.397679E+02 1.760403E+02 4.541373E+02 2.279800E+01 3.798765E+01 A8 8.206267E+03 −9.011746E+03 7.924923E+03 −7.925713E+03 −1.605901E+02 −2.538782E+02 A10 −2.409029E+05 2.309418E+05 −3.556752E+05 8.742615E+04 4.024252E+02 1.006696E+03 A12 3.815874E+06 −5.724754E+06 6.763793E+06 −5.637757E+05 −1.022838E+03 −2.139985E+03 A14 −3.058215E+07 1.150791E+08 −5.777439E+07 2.305535E+06 1.137147E+04 1.678984E+03 A16 9.651955E+07 −1.019396E+09 4.515604E+07 −6.075618E+06 5.001461E+04 −7.132659E+02 A18 0.000000E+00 0.000000E+00 3.016566E+09 −8.395059E+06 −1.233233E+06 5.324760E+03 A20 0.000000E+00 0.000000E+00 −1.714271E+10 1.332777E+08 3.972734E+06 −4.700860E+03
(147) An equation of the aspheric surfaces of the fifth embodiment is the same as that of the first embodiment, and the definitions are the same as well.
(148) The exact parameters of the fifth embodiment based on Table 9 and Table 10 are listed in the following table:
(149) TABLE-US-00021 Fifth embodiment (Reference wavelength: 555 nm) |f/f1| |f/f2| |f/f3| |f1/f2| |f2/f3| TP1/TP2 0.85108 1.51292 1.19264 0.56254 1.26855 0.81754 ΣPPR ΣNPR ΣPPR/|ΣNPR| IN12/f IN23/f TP2/TP3 2.04371 1.51292 1.35084 0.15995 0.02713 1.91277 TP2/(IN12 + TP2 + IN23) (TP1 + IN12)/TP2 (TP3 + IN23)/TP2 0.59206 0.62272 0.62272 HOS InTL HOS/HOI InS/HOS ODT % TDT % 1.44608 0.81477 1.76351 0.85625 2.11322 0.73818 HVT21 HVT22 HVT31 HVT32 HVT32/HOI HVT32/HOS 0 0 0.173202 0.34031 0.4150 0.2353 f2/f3 CT1/CT2 CT2/CT3 (R1 − R2)/(R1 + R2) (R3 − R4)/(R3 + R4) (R5 − R6)/(R5 + R6) −0.7883 −1.4013 0.8175 1.9128 −1.6079 0.2367 PLTA PSTA NLTA NSTA SLTA SSTA −0.037 mm −0.032 mm 0.009 nun 0.004 mm −0.018 mm −0.014 nun
(150) The results of the equations of the fifth embodiment based on Table 9 and Table 10 are listed in the following table:
(151) TABLE-US-00022 Values related to the inflection points of the fifth embodiment (Reference wavelength: 555 nm) HIF111 0.2366 HIF111/HOI 0.2885 SGI111 0.0334 |SGI111|/(|SGI111| + TP1) 0.1318 HIF211 0.2226 HIF211/HOI 0.2715 SGI211 −0.0727 |SGI211|/(|SGI211| + TP2) 0.2485 HIF221 0.2816 HIF221/HOI 0.3434 SGI221 −0.1490 |SGI221|/(|SGI221| + TP2) 0.4039 HIF311 0.0777 HIF311/HOI 0.0947 SGI311 0.0018 |SGI311|/(|SGI311| + TP3) 0.0081 HIF321 0.1382 HIF321/HOI 0.1685 SGI321 0.0191 |SGI321|/(|SGI321| + TP3) 0.0798
(152) The figures related to the profile curve lengths obtained based on Table 9 and Table 10 are listed in the following table:
(153) TABLE-US-00023 Fifth embodiment (Reference wavelength: 555 nm) ARE ARE − 2(ARE/ ARE/ ARE ½(HEP) value ½(HEP) HEP) % TP TP (%) 11 0.225 0.228 0.00221 100.98% 0.220 103.53% 12 0.211 0.212 0.00030 100.14% 0.220 96.25% 21 0.225 0.241 0.01555 106.90% 0.269 89.60% 22 0.225 0.250 0.02502 111.10% 0.269 93.12% 31 0.225 0.225 −0.00037 99.84% 0.141 160.06% 32 0.225 0.228 0.00266 101.18% 0.141 162.22% ARS ARS − (ARS/ ARS/ ARS EHD value EHD EHD)% TP TP (%) 11 0.250 0.252 0.00278 101.11% 0.220 114.74% 12 0.211 0.212 0.00030 100.14% 0.220 96.25% 21 0.250 0.271 0.02016 108.05% 0.269 100.58% 22 0.336 0.397 0.06125 118.23% 0.269 147.72% 31 0.426 0.438 0.01116 102.62% 0.141 311.23% 32 0.537 0.551 0.01420 102.65% 0.141 391.72%
Sixth Embodiment
(154) As shown in
(155) The first lens 610 has positive refractive power and is made of plastic. An object-side surface 612, which faces the object side, is a convex aspheric surface, and an image-side surface 614, which faces the image side, is a convex aspheric surface. The object-side surface 612 has an inflection point.
(156) The second lens 620 has positive refractive power and is made of plastic. An object-side surface 622 thereof, which faces the object side, is a concave aspheric surface, and an image-side surface 624 thereof, which faces the image side, is a convex aspheric surface. The object-side surface 622 and the image-side surface 624 both have an inflection point.
(157) The third lens 630 has negative refractive power and is made of plastic. An object-side surface 632, which faces the object side, is a convex aspheric surface, and an image-side surface 634, which faces the image side, is a concave aspheric surface. The object-side surface 632 and the image-side surface 634 both have an inflection point.
(158) The infrared rays filter 670 is made of glass and between the third lens 630 and the image plane 680. The infrared rays filter 670 gives no contribution to the focal length of the system.
(159) The parameters of the lenses of the sixth embodiment are listed in Table 11 and Table 12.
(160) TABLE-US-00024 TABLE 11 f = 0.9906 mm; f/HEP = 2.2004; HAF = 39.3625 deg Radius of curvature Thickness Refractive Abbe Focal length Surface (mm) (mm) Material index number (mm) 0 Object 1E+18 600 1 1E+18 0.000 2 1.sup.st lens 0.769102954 0.220 plastic 1.535 56.05 1.164 3 −3.046925625 −0.012 4 Aperture 1E+18 0.172 5 2.sup.nd lens −0.36535734 0.261 plastic 1.535 56.05 0.655 6 −0.225615434 0.027 7 3.sup.rd lens 1.531166685 0.156 plastic 1.681 18.15 −0.831 8 0.404291934 0.091 9 Infrared 1E+18 0.145 glass 1.517 64.14 rays filter 10 Image 1E+18 0.387 plane Reference wavelength: 555 nm; the position of blocking light: the clear aperture of the first surface is 0.248 mm.
(161) TABLE-US-00025 TABLE 12 Coefficients of the aspheric surfaces Surface 2 3 5 6 7 8 k −1.119534E+00 6.294409E+01 −1.351619E+01 −3.613406E+00 −8.737135E+02 −1.301283E+01 A4 8.339102E−01 −5.688205E+00 −2.547838E+01 −2.060370E+01 −2.716688E+00 −4.611446E+00 A6 −1.672885E+02 2.446196E+02 1.928442E+02 4.550234E+02 1.954882E+01 3.833127E+01 A8 8.366265E+03 −8.682428E+03 8.071724E+03 −7.924582E+03 −1.514013E+02 −2.550315E+02 A10 −2.405572E+05 2.311054E+05 −3.544213E+05 8.761490E+04 4.698151E+02 1.013026E+03 A12 3.786031E+06 −5.929954E+06 6.762406E+06 −5.613619E+05 −1.163807E+03 −2.139003E+03 A14 −3.047081E+07 1.111258E+08 −5.807419E+07 2.331151E+06 1.043366E+04 1.552384E+03 A16 9.731367E+07 −8.988330E+08 3.727936E+07 −6.360894E+06 4.109810E+04 −6.354913E+02 A18 0.000000E+00 0.000000E+00 2.952325E+09 −8.604448E+06 −1.226384E+06 6.433356E+03 A20 0.000000E+00 0.000000E+00 −1.558206E+10 1.289231E+08 4.140658E+06 −6.787073E+03
(162) An equation of the aspheric surfaces of the sixth embodiment is the same as that of the first embodiment, and the definitions are the same as well.
(163) The exact parameters of the sixth embodiment based on Table 11 and Table 12 are listed in the following table:
(164) TABLE-US-00026 Sixth embodiment (Reference wavelength: 555 nm) |f/f1| |f/f2| |f/f3| |f1/f2| |f2/f3| TP1/TP2 0.85108 1.51292 1.19264 0.56254 1.26855 0.81754 ΣPPR ΣNPR ΣPPR/|ΣNPR| IN12/f IN23/f TP2/TP3 2.04371 1.51292 1.35084 0.15995 0.02713 1.91277 TP2/(IN12 + TP2 + IN23) (TP1 + IN12)/TP2 (TP3 + IN23)/TP2 0.59206 0.62272 0.62272 HOS InTL HOS/HOI InS/HOS ODT % TDT % 1.44608 0.81477 1.76351 0.85625 2.11322 0.73818 HVT21 HVT22 HVT31 HVT32 HVT32/HOI HVT32/HOS 0 0 0.173202 0.34031 0.4150 0.2353 f2/f3 CT1/CT2 CT2/CT3 (R1 − R2)/(R1 + R2) (R3 − R4)/(R3 + R4) (R5 − R6)/(R5 + R6) −0.7883 0.8175 1.9128 −1.6079 0.2367 0.5408 PLTA PSTA NLTA NSTA SLTA SSTA −0.023 mm −0.019 mm 0.008 mm 0.001 mm −0.008 mm −0.005 mm
(165) The results of the equations of the sixth embodiment based on Table 11 and Table 12 are listed in the following table:
(166) TABLE-US-00027 Values related to the inflection points of the sixth embodiment (Reference wavelength: 555 nm) HIF111 0.2366 HIF111/HOI 0.2885 SGI111 0.0334 |SGI111|/(|SGI111| + TP1) 0.1318 HIF211 0.2226 HIF211/HOI 0.2715 SGI211 −0.0727 |SGI211|/(|SGI211| + TP2) 0.2485 HIF221 0.2816 HIF221/HOI 0.3434 SGI221 −0.1490 |SGI221|/(|SGI221| + TP2) 0.4039 HIF311 0.0777 HIF311/HOI 0.0947 SGI311 0.0018 |SGI311|/(|SGI311| + TP3) 0.0081 HIF321 0.1382 HIF321/HOI 0.1685 SGI321 0.0191 |SGI321|/(|SGI321| + TP3) 0.0798
(167) The figures related to the profile curve lengths obtained based on Table 11 and Table 12 are listed in the following table:
(168) TABLE-US-00028 Sixth embodiment (Reference wavelength: 555 nm) ARE ARE − 2(ARE/ ARE/ ARE ½(HEP) value ½(HEP) HEP) % TP TP (%) 11 0.224 0.226 0.00155 100.69% 0.220 102.57% 12 0.210 0.211 0.00061 100.29% 0.220 95.79% 21 0.224 0.239 0.01481 106.61% 0.261 91.42% 22 0.224 0.250 0.02556 111.41% 0.261 95.54% 31 0.224 0.223 −0.00091 99.59% 0.156 143.10% 32 0.224 0.225 0.00144 100.64% 0.156 144.61% ARS ARS − (ARS/ ARS/ ARS EHD value EHD EHD)% TP TP (%) 11 0.242 0.245 0.00298 101.23% 0.220 111.44% 12 0.210 0.211 0.00061 100.29% 0.220 95.79% 21 0.248 0.268 0.01975 107.95% 0.261 102.64% 22 0.328 0.388 0.05974 118.19% 0.261 148.61% 31 0.407 0.414 0.00718 101.77% 0.156 265.51% 32 0.511 0.522 0.01083 102.12% 0.156 334.84%
(169) It must be pointed out that the embodiments described above are only some embodiments of the present invention. All equivalent structures which employ the concepts disclosed in this specification and the appended claims should fall within the scope of the present invention.