Optical image capturing system
09726854 · 2017-08-08
Assignee
Inventors
Cpc classification
International classification
Abstract
The invention discloses a three-piece optical lens for capturing image and a three-piece optical module for capturing image, which include, along the optical axis in order from an object side to an image side, a first lens with positive refractive power having an object-side surface which can be convex; a second lens with refractive power; a third lens with refractive power; two surfaces of each of the three lenses can be both aspheric. The third lens can have positive refractive power, wherein an image-side surface thereof can be concave, and both surfaces thereof are aspheric; at least one surface of the third lens has an inflection point. The optical lens can increase aperture value and improve the imagining 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 refractive power; a third lens having refractive power; and an image plane; wherein the optical image capturing system consists of the three lenses with refractive power; at least two of the three lenses each has at least an inflection point on at least a surface thereof; the third lens has an object-side surface, which faces the object side, and an image-side surface, which faces the image side, and both the object-side surface and the image-side surface of the third lens are aspheric surfaces; wherein the optical image capturing system satisfies:
1.2≦f/HEP≦6.0; and
1.0≦HOS/f≦2.0; where f1, f2, and f3 are focal lengths of the first lens to the third lens, respectively; f is a focal length of the optical image capturing system; HEP is an entrance pupil diameter of the optical image capturing system; and HOS is a distance in parallel with the optical axis from an object-side surface of the first lens to the image plane.
2. The optical image capturing system of claim 1, wherein the optical image capturing system further satisfies:
0 deg<HAF≦70 deg;
|TDT|<60%; and
|ODT|<50%; where HAF is a half of a view angle of the optical image capturing system; TDT is a TV distortion; and ODT is an optical distortion.
3. The optical image capturing system of claim 1, wherein the third lens has at least an inflection point on each of the surfaces thereof.
4. The optical image capturing system of claim 1, wherein the third lens has positive refractive power.
5. The optical image capturing system of claim 1, wherein the optical image capturing system further satisfies:
0.5≦InTL/HOS≦0.9; where InTL is a distance in parallel with the optical axis between the object-side surface of the first lens and the image-side surface of the third lens.
6. The optical image capturing system of claim 1, wherein the optical image capturing system further satisfies:
0 mm<HIF≦5 mm; where HIF is a distance perpendicular to the optical axis between any inflection point and the optical axis.
7. The optical image capturing system of claim 6, wherein the optical image capturing system further satisfies:
0 mm<SGI≦1 mm; where PI is where the optical axis passes each surface of each lens among the first lens to the third lens, and SGI is a displacement in parallel from PI to one of the at least one inflection point on the relevant surface.
8. The optical image capturing system of claim 6, wherein the optical image capturing system further satisfies:
0<HIF/InTL≦5; where InTL is a distance in parallel with the optical axis between the object-side surface of the first lens and the image-side surface of the third lens.
9. The optical image capturing system of claim 8, further comprising an aperture and an image sensor on the image plane, wherein the optical image capturing system further satisfies:
0.5≦InS/HOS≦1.1; and
0<HIF/HOI≦0.9; where HOI is a half of a diagonal of an effective sensing area of the image sensor provided on the image plane, and InS is a distance in parallel with the optical axis between the aperture and the image plane.
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 refractive power, wherein at least one surface of the second lens has at least one inflection point thereon; a third lens having refractive power, wherein at least one surface of the third lens has at least one inflection point thereon; and an image plane; wherein the optical image capturing system consists of the three lenses with refractive power; the third lens has an object-side surface, which faces the object side, and an image-side surface, which faces the image side, and both the object-side surface and the image-side surface of the third lens are aspheric surfaces; wherein the optical image capturing system satisfies:
1.2≦f/HEP≦6.0;
1.0≦HOS/f≦2.0;
0.4≦| tan(HAF)|≦1.0;
|TDT|<60%; and
|ODT|≦50%; where f1, f2, and f3 are focal lengths of the first lens to the third lens, respectively; 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 in parallel with the optical axis between an object-side surface, which face the object side, of the first lens and the image plane; HAF is a half of a view angle of the optical image capturing system; TDT is a TV distortion; and ODT is an optical distortion.
11. The optical image capturing system of claim 10, wherein the object-side surface and the image-side surface of the third lens both have at least one inflection point thereon.
12. The optical image capturing system of claim 10, wherein at least one of the surfaces of the first lens and the second lens respectively has at least one inflection point thereon.
13. The optical image capturing system of claim 10, wherein the optical image capturing system further satisfies:
0 mm<HOS≦4.5 mm.
14. The optical image capturing system of claim 10, wherein the optical image capturing system further satisfies: 0 mm<InTL≦3.5 mm; where InTL is a distance in parallel with the optical axis between the object-side surface of the first lens and the image-side surface of the third lens.
15. The optical image capturing system of claim 10, wherein the optical image capturing system further satisfies:
2≦(TP1+IN12)/TP2≦10; where TP1 is a central thickness of the first lens on the optical axis, TP2 is a central thickness of the second lens on the optical axis, and IN12 is a distance on the optical axis between the first lens and the second lens.
16. The optical image capturing system of claim 10, wherein the optical image capturing system further 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 on the optical axis between the second lens and the third lens.
17. The optical image capturing system of claim 10, wherein the optical image capturing system further satisfies:
0<IN12/f≦0.3; where IN12 is a distance on the optical axis between the first lens and the second lens.
18. The optical image capturing system of claim 10, wherein the optical image capturing system further satisfies:
0<|f/f2|≦2.
19. The optical image capturing system of claim 10, wherein the optical image capturing system further satisfies:
0<|f/f1|≦2;
0.4<|f/f2|≦1.8; and
0<|f/f3|≦3.
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, wherein an image-side surface thereof, which faces the image side, is convex near the optical axis; at least one surface between an object-side surface, which faces the object side, and the image-side surface thereof has at least one inflection point thereon; a second lens having negative refractive power, wherein at least one surface between an object-side surface, which faces the object side, and an image-side surface, which faces the image side, thereof has at least one inflection point thereon; a third lens having refractive power, wherein at least one surface between an object-side surface, which faces the object side, and an image-side surface, which faces the image side, thereof has at least one inflection point thereon; and an image plane; wherein the optical image capturing system consists of the three lenses having refractive power; the object-side surface and the image-side surface of the third lens are aspheric surfaces; wherein the optical image capturing system satisfies:
1.2≦f/HEP≦3.0;
0.4≦| tan(HAF)|≦1.0;
1.0≦HOS/f≦2.0;
|TDT|<60%; and
|ODT|≦50%; where f1, f2, and f3 are focal lengths of the first lens to the third lens, respectively; 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 view angle of the optical image capturing system; HOS is a distance in parallel with the optical axis between an object-side surface, which face the object side, of the first lens and the image plane; TDT is a TV distortion; and ODT is an optical distortion.
21. The optical image capturing system of claim 20, wherein the optical image capturing system further satisfies:
0 mm<HIF≦5 mm; where HIF is a distance perpendicular to the optical axis between the inflection points and the optical axis.
22. The optical image capturing system of claim 21, wherein the optical image capturing system further satisfies:
2≦(TP1+IN12)TP2≦10; and
1.0≦(TP3+IN23)/TP2≦10; where TP1 is a central thickness of the first lens on the optical axis, TP2 is a central thickness of the second lens on the optical axis, TP3 is a central thickness of the third lens on the optical axis, IN12 is a distance on the optical axis between the first lens and the second lens and IN23 is a distance on the optical axis between the second lens and the third lens.
23. The optical image capturing system of claim 20, wherein the third lens has at least an inflection point on each surface thereof; and the optical image capturing system further satisfies:
1.5≦ΣPPR/ΣNPR|≦3.5; 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 fn 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.
24. The optical image capturing system of claim 23, further comprising an aperture and an image sensor on the image plane, wherein the optical image capturing system further satisfies:
0.45≦ΣTP/InTL≦0.95; where ΣTP is a sum of the central thicknesses of all the lenses with refractive power on the optical axis, and InTL is a distance in parallel with the optical axis between the object-side surface of the first lens and the image-side surface of the third lens.
25. The optical image capturing system of claim 23, further comprising an aperture and an image sensor on the image plane, wherein the optical image capturing system further satisfies:
0.5≦InS/HOS≦1.1; where InS is a distance in parallel with the optical axis 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 preferred 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 works in three wavelengths, including 486.1 nm, 587.5 nm, and 656.2 nm, wherein 587.5 mm is the main reference wavelength, and 555 nm is adopted as the main reference wavelength for extracting features.
(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 fn 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) HOS is a height of the optical image capturing system, and when the ratio of HOS/f approaches to 1, it is helpful for decrease of size and increase of imaging quality.
(24) In an preferred embodiment, the optical image capturing system of the present invention satisfies 0<ΣPP≦200 and f1/ΣPP≦0.85, and a preferable range is 0<ΣPP≦150 and 0.01≦f1/ΣPP≦0.6, where ΣPP is a sum of a focal length fp of each lens with positive refractive power, and ΣNP is a sum of a focal length fn of each lens with negative refractive power. It is helpful for control of focusing capacity of the system and redistribution of the positive refractive powers of the system to avoid the significant aberration in early time. The first lens has positive refractive power, and an object-side surface, which faces the object side, thereof can be convex. It may modify the positive refractive power of the first lens as well as shorten the entire length of the system.
(25) The second lens can have negative refractive power, which may correct the aberration of the first lens.
(26) The third lens can have positive refractive power, and an image-side surface thereof, which faces the image side, can be concave. It may share the positive refractive power of the first lens, and shorten a rear focal length to reduce the size of the system. In addition, the third lens is provided with at least an inflection point on at least a surface to reduce an incident angle of the light of an off-axis field of view and correct the aberration of the off-axis field of view. It is preferable that each surface, the object-side surface and the image-side surface, of the third lens has 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 height for image formation of the optical image capturing system, 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 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, and a preferable range is 0.6≦InS/HOS≦1, where InS is a distance between the aperture and the image plane. 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 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, and a preferable range is 0.01≦IN12/f≦0.25, where IN12 is a distance on the optical axis between the first lens and the second lens. It may correct chromatic aberration and improve the performance.
(34) 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.
(35) 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.
(36) The optical image capturing system of the present invention satisfies 0.1≦TP2/ΣTP≦0.9, and a preferable range is 0.01≦TP2/ΣTP≦0.3, where TP2 is a central thickness of the second lens on the optical axis, and ΣTP is a sum of the central thicknesses of all the lenses on the optical axis. It may finely correct the aberration of the incident rays and reduce the height of the system.
(37) The optical image capturing system of the present invention satisfies −1 mm≦InRS31≦1 mm; −1 mm≦InRS32≦1 mm; 1 mm<|InRS31|+|InRS32|≦2 mm; 0.01≦|InRS31|/TP3≦10; and 0.01≦|InRS32|/TP3≦10, where InRS31 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 a point at the maximum effective semi diameter of the object-side surface of the third lens, wherein InRS31 is positive while the displacement is toward the image side, and InRS31 is negative while the displacement is toward the object side; InRS32 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 a point at the maximum effective semi diameter of the image-side surface of the third lens; and TP3 is a central thickness of the third lens on the optical axis. It may control the positions of the maximum effective semi diameter on both surfaces of the third lens, correct the aberration of the peripheral field of view, and reduce the size.
(38) The optical image capturing system of the present invention satisfies 0<SGI311/(SGI311+TP3)≦0.9 and 0<SGI521/(SGI321+TP3)≦0.9, and a preferable range is 0.01<SGI311/(SGI311+TP3)≦0.7 and 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 an inflection point, which is the closest to the optical axis, on the object-side surface of the third lens; 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 an inflection point, which is the closest to the optical axis, on the image-side surface of the third lens, and TP3 is a thickness of the third lens on the optical axis.
(39) The optical image capturing system of the present invention satisfies 0<SGI312/(SGI312+TP3)≦0.9 and 0<SGI322/(SGI322+TP3)≦0.9, and a preferable range is 0.1SGI312/(SGI312+TP3)≦0.8 and 0.1SGI322/(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 an inflection point, which is the second closest to the optical axis, on the image-side surface of the third lens, and SGI322 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 an inflection point, which is the second closest to the optical axis, on the image-side surface of the third lens.
(40) The optical image capturing system of the present invention satisfies 0.01≦‘HIF311/HOI≦0.9 and 0.01≦HIF321/HOI≦0.9, and a preferable range is 0.09≦HIF311/HOI≦0.5 and 0.09≦HIF321/HOI≦0.5, where HIF311 is a distance perpendicular to the optical axis between the inflection point, which is the closest to the optical axis, on the object-side surface of the third lens and the optical axis, and HIF321 is a distance perpendicular to the optical axis between the inflection point, which is the closest to the optical axis, on the image-side surface of the third lens and the optical axis.
(41) The optical image capturing system of the present invention satisfies 0.01≦HIF312/HOI≦0.9 and 0.01≦HIF322/HOI≦0.9, and a preferable range is 0.09≦HIF312/HOI≦0.8 and 0.09≦HIF322/HOI≦0.8, where HIF312 is a distance perpendicular to the optical axis between the inflection point, which is the second the closest to the optical axis, on the object-side surface of the third lens and the optical axis, and HIF322 is a distance perpendicular to the optical axis between the inflection point, which is the second the closest to the optical axis, on the image-side surface of the third lens and the optical axis.
(42) In an preferred 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.
(43) 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)
(44) where z is a depression of the aspheric surface; k is conic constant; c is reciprocal of radius of curvature; and A4, A6, A8, A10, A12, A14, A16, A18, and A20 are high-order aspheric coefficients.
(45) 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 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 that is helpful for reduction of the height of the system.
(46) 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.
(47) The optical image capturing system of the present invention further is provided with a diaphragm to increase image quality.
(48) In the optical image capturing system, the diaphragm could be a front diaphragm or a middle diaphragm, wherein the front diaphragm is provided between the object and the first lens, and the middle is provided between the first lens and the image plane. The front diaphragm provides a long distance between an exit pupil of the system and the image plane, which allows more elements to be installed. The middle diaphragm could enlarge a view angle of view of the system and increase the efficiency of the image sensor. The middle diaphragm is helpful for size reduction and wide angle.
(49) The optical image capturing system of the present invention could be applied in dynamic focusing optical system. It is superior in correction of aberration and high imaging quality so that it could be allied in lots of fields.
(50) We provide several preferred embodiments in conjunction with the accompanying drawings for the best understanding, which are:
First Preferred Embodiment
(51) As shown in
(52) 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.
(53) 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, and the image-side surface 124 has an inflection point. The second lens 120 satisfies SGI221=−0.1526 mm and |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, which is the closest to the optical axis.
(54) The second lens further satisfies HIF221=0.5606 mm and HIF221/HOI=0.3128, where HIF221 is 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, which is the closest to the optical axis.
(55) 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 and |SGI311|/(|SGI311|+TP3)=0.0339 and |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.
(56) The third lens 130 satisfies SGI312=−0.0367 mm; |SGI312|/(|SGI312|+TP3)=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, which is the second closest to the optical axis.
(57) The third lens 130 further satisfies HIF311=0.2298 mm; HIF321=0.3393 mm; HIF311/HOI=0.1282; and 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, and 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.
(58) The third lens 130 further 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, which is the second the closest to the optical axis, and the optical axis.
(59) 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.
(60) The optical image capturing system of the first preferred 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.
(61) The parameters of the lenses of the first preferred embodiment are f1=2.27233 mm; |f/f1|=1.0692; f3=7.0647 mm; |f1|≦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.
(62) The first preferred 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.
(63) The optical image capturing system of the first preferred 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.
(64) The optical image capturing system of the first preferred 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 height for image formation of the optical image capturing system, 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.
(65) The optical image capturing system of the first preferred 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 of manufacture, and provides a suitable back focal length for installation of other elements.
(66) The optical image capturing system of the first preferred 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.
(67) The optical image capturing system of the first preferred 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.
(68) The optical image capturing system of the first preferred 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.
(69) The optical image capturing system of the first preferred embodiment further satisfies ΣNP=f2=−5.2251 mm, where f2 is a focal length of the second lens 120, and ΣNP is a sum of the focal lengths fn of each lens with negative refractive power. It is helpful to avoid the significant aberration caused by the incident rays.
(70) The optical image capturing system of the first preferred embodiment further satisfies IN12=0.4068 mm and 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.
(71) The optical image capturing system of the first preferred 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.
(72) The optical image capturing system of the first preferred embodiment further satisfies (TP3+IN23)/TP2=2.3308, where IN23 is a distance on the optical axis between the second lens 120 and the third lens 130. It may control the sensitivity of manufacture of the system and improve the performance.
(73) The optical image capturing system of the first preferred embodiment further satisfies TP2/ΣTP=0.2369, where TP2 is a thickness on the optical axis of the second lens 120, and ΣTP is a sum of the central thicknesses of all the lenses with refractive power on the optical axis. It may finely correct the aberration of the incident rays and reduce the height of the system.
(74) The optical image capturing system of the first preferred 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 in parallel with the optical axis from a point on the object-side surface 132 of the third lens, through which the optical axis passes, to a point at the maximum effective semi diameter of the object-side surface 132 of the third lens 130; InRS32 is a displacement in parallel with the optical axis from a point on the image-side surface 134 of the third lens, through which the optical axis passes, to a point at the maximum effective semi diameter of the image-side surface 134 of the third lens 130; 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.
(75) The optical image capturing system of the first preferred embodiment further satisfies HVT31=0.4455 mm; HVT32=0.6479 mm; and HVT31/HVT32=0.6876, wherein a distance perpendicular to the optical axis between a critical point C31 on the object-side surface 132 of the third lens 130 and the optical axis is HVT31; a distance perpendicular to the optical axis between a critical point C32 on the image-side surface 134 of the third lens 130 and the optical axis is HVT32. It is helpful to correct the aberration of the off-axis field of view.
(76) The optical image capturing system of the first preferred embodiment further satisfies HVT32/HOI=0.3616. It is helpful to correct the aberration of the peripheral field of view.
(77) The optical image capturing system of the first preferred embodiment further satisfies HVT32/HOS=0.2226. It is helpful to correct the aberration of the peripheral field of view.
(78) The second lens 120 and the third lens 130 of the optical image capturing system of the first preferred embodiment have negative refractive power, and the optical image capturing system further satisfies |NA1−NA2|=33.5951; and 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 system.
(79) The optical image capturing system of the first preferred embodiment further satisfies |TDT|=1.2939% and |ODT|=1.4381%, where TDT is TV distortion; and ODT is optical distortion.
(80) The parameters of the lenses of the first preferred embodiment are listed in Table 1 and Table 2.
(81) 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 0.849 0.513 plastic 1.535 56.070 2.273 2 2.205 0.143 3 Aperture plane 0.263 4 2.sup.nd lens −1.208 0.336 plastic 1.643 22.470 −5.225 5 −2.085 0.214 6 3.sup.rd lens 1.178 0.570 plastic 1.544 56.090 7.012 7 1.411 0.114 8 Filter plane 0.210 BK7_SCHOTT 9 plane 0.550 10 Image plane plane 0.000 Reference wavelength: 555 nm; the clear aperture of the first surface is 0.640 mm.
(82) 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
(83) The detail parameters of the first preferred embodiment are listed in Table 1, in which the unit of 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 preferred embodiments have the similar diagrams and tables, which are the same as those of the first preferred embodiment, so we do not describe it again.
Second Preferred Embodiment
(84) As shown in
(85) 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. The object-side surface 212 and the image-side surface 214 both have an inflection point thereon.
(86) The second lens 220 has negative 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 has two inflection points thereon, and the image-side surface 224 has an inflection point thereon.
(87) The third lens 230 has positive 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 both have an inflection point thereon.
(88) 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.
(89) The optical image capturing system of the second preferred embodiment has the following parameters, which are |f2|=2.578 mm; |f1|=2.229 mm; and |f2|>|f1|, where f1 is a focal length of the first lens 210; f2 is a focal length of the second lens 220.
(90) The optical image capturing system of the second preferred embodiment further satisfies TP2=0.246 mm and TP3=1.019 mm, where TP2 is a thickness of the second lens 220 on the optical axis, and TP3 is a thickness of the third lens 230 on the optical axis.
(91) In the second preferred embodiment, the first and the third lenses 210, 230 are positive lenses, and their focal lengths are f1 and f3 respectively. The optical image capturing system of the second preferred embodiment further satisfies ΣPP=f1+f3=6.4340 mm and f1/(f1+f3)=0.3465, where ΣPP is a sum of the focal lengths of each positive lens. It is helpful to share the positive refractive power of the first lens 210 to the other positive lens to avoid the significant aberration caused by the incident rays.
(92) The optical image capturing system of the second preferred embodiment further satisfies ΣNP=f2, where f2 is the focal length of the second lens 220, and ΣNP is a sum of the focal lengths of each negative lens.
(93) The parameters of the lenses of the second preferred embodiment are listed in Table 3 and Table 4.
(94) TABLE-US-00003 TABLE 3 f = 2.890 mm; f/HEP = 2.0; HAF = 37.719 deg; tan(HAF) = 0.7734 Radius of curvature Thickness Refractive Abbe Focal length Surface (mm) (mm) Material index number (mm) 0 Object plane 3000 1 Aperture plane 0.18471 2 1st lens 1.96112 1.36240 plastic 1.544 56.09 2.229 3 −2.42064 0.35147 4 2nd lens −0.43695 0.24588 plastic 1.642 22.46 −2.578 5 −0.72279 0.02500 6 3rd lens 1.24811 1.01922 plastic 1.584 29.88 4.204 7 1.79857 0.21136 8 Filter plane 0.20000 BK7 SCHOTT 1.517 64.13 9 plane 0.69998 10 Image Plane plane Reference wavelength: 555 nm. The clear aperture of the third surface is 1.110 mm
(95) TABLE-US-00004 TABLE 4 Coefficients of the aspheric surfaces Surface 2 3 4 5 6 7 k = 1.999500E+00 −1.711779E+01 −1.578645E+00 −2.574140E+00 −1.024639E+00 −6.391695E+00 A4 = −7.040308E−02 −2.744906E−01 1.257956E+00 8.830679E−02 −7.849222E−01 −1.080665E−01 A6 = −2.516059E−02 4.445355E−01 −5.316955E+00 7.891750E−01 2.209649E+00 1.037669E−01 A8 = 3.310587E−01 −2.478247E+00 1.425303E+01 −5.503768E+00 −7.113635E+00 −1.093230E−01 A10 = −2.630399E+00 6.406820E+00 −2.471204E+01 1.822070E+01 1.677083E+01 7.697947E−02 A12 = 8.497080E+00 −8.477846E+00 3.058120E+01 −3.282984E+01 −2.655152E+01 −3.522739E−02 A14 = −1.551853E+01 5.803627E+00 −2.838166E+01 3.505794E+01 2.730574E+01 1.007019E−02 A16 = 1.615594E+01 −1.613880E+00 1.873782E+01 −2.234012E+01 −1.748340E+01 −1.709963E−03 A18 = −9.074807E+00 −1.669564E−01 −7.512852E+00 7.856329E+00 6.329043E+00 1.544873E−04 A20 = 2.170072E+00 1.361150E−01 1.326683E+00 −1.165153E+00 −9.911257E−01 −5.759900E−06
(96) An equation of the aspheric surfaces of the second preferred embodiment is the same as that of the first preferred embodiment, and the definitions are the same as well.
(97) The exact parameters of the second preferred embodiment (with 555 nm as the main reference wavelength) based on Table 3 and Table 4 are listed in the following table:
(98) TABLE-US-00005 Second preferred embodiment (Reference wavelength: 555 nm) InRS31 InRS32 HVT31 HVT32 |ODT|% |TDT|% −0.00365 −0.01563 0.83447 1.20870 1.53684 0.46217 |f/f1| |f/f2| |f/f3| |f1/f3| |f1/f2| |f2/f3| 1.29612 1.12107 0.68728 1.88587 1.15614 1.63117 ΣPPR/ ΣPPR ΣNPR |ΣNPR| ΣPP ΣNP f1/ΣPP 1.98340 1.12107 1.76919 6.43398 −2.57759 0.34652 InTL HOS HOS/HOI InS/HOS InTL/HOS ΣTP/InTL 4.11529 3.00396 1.81450 1.04488 0.72995 0.87468 |InRS31|/TP3 |InRS32|/TP3 HVT32/HOI HVT32/HOS 0.0036 0.0153 0.5329 0.2937 (TP1 + IN12)/ (TP3 + IN23)/ IN12/f TP2 TP2 TP2/ΣTP 0.12163 4.24695 4.24695 0.09358
(99) The exact parameters related to inflection points of the second preferred embodiment (with main reference wavelength as 555 nm) based on Table 3 and Table 4 are listed in the following table:
(100) TABLE-US-00006 Values related to the inflection points of the second preferred embodiment HIF111 0.6979 HIF111/HOI 0.3077 SGI111 0.1172 |SGI111|/(|SGI111| + TP1) 0.0792 HIF121 1.1001 HIF121/HOI 0.4850 SGI121 −0.4675 |SGI121|/(|SGI121| + TP1) 0.2555 HIF211 0.6041 HIF211/HOI 0.2663 SGI211 −0.2859 |SGI211|/(|SGI211| + TP2) 0.5376 HIF212 0.5690 HIF212/HOI 0.2509 SGI212 −0.1911 |SGI212|/(|SGI212| + TP2) 0.4373 HIF221 0.5517 HIF221/HOI 0.2432 SGI221 −0.1649 |SGI221|/(|SGI221| + TP2) 0.4014 HIF311 0.4219 HIF311/HOI 0.1860 SGI311 0.0540 |SGI311|/(|SGI311| + TP3) 0.1801 HIF321 0.6163 HIF321/HOI 0.2717 SGI321 0.0810 |SGI321|/(|SGI321| + TP3) 0.2479 (Reference wavelength: 555 nm)
Third Preferred Embodiment
(101) As shown in
(102) 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 two inflection points thereon.
(103) The second lens 320 has negative refractive power, and is made of plastic. An object-side surface 322 thereof, which faces the object side, is a concave aspheric surface; while 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 thereon.
(104) The third lens 330 has positive refractive power, and is made of plastic. An object-side surface 332, which faces the object side, is a convex aspheric surface, and an image-side surface 334, 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 thereon.
(105) The infrared rays filter 370 is made of glass, and between the third lens 330 and the image plane 380. The infrared rays filter 370 gives no contribution to the focal length of the system.
(106) The parameters of the lenses of the third preferred embodiment are |f2|=2.250 mm, and |f1|=2.275 mm, where f1 is a focal length of the first lens 310; f2 is a focal length of the second lens 320.
(107) The optical image capturing system of the third preferred embodiment further satisfies TP2=0.227 mm and TP3=1.258 mm, where TP2 is a thickness of the second lens 320 on the optical axis, and TP3 is a thickness of the third lens 330 on the optical axis.
(108) In the third preferred embodiment, the first and the third lenses 310, 330 are positive lenses, and their focal lengths are f1 and f3 respectively. The optical image capturing system of the third preferred embodiment further satisfies ΣPP=f1+f3=5.4556 mm and f1/(f1+f3)=0.4170, where ΣPP is a sum of the focal lengths of each positive lens. It is helpful to share the positive refractive power of the first lens 310 to the other positive lens to avoid the significant aberration caused by the incident rays.
(109) The optical image capturing system of the third preferred embodiment further satisfies ΣNP=f2, where ΣNP is a sum of the focal lengths of each negative lens.
(110) The parameters of the lenses of the third preferred embodiment are listed in Table 5 and Table 6.
(111) TABLE-US-00007 TABLE 5 f = 2.890 mm; f/HEP = 2.0; HAF = 37.774 deg; tan(HAF) = 0.7750 Radius of curvature Thickness Refractive Abbe Focal length Surface (mm) (mm) Material index number (mm) 0 Object plane 3000 1 Aperture plane 0.05562 2 1st lens 1.94827 1.04553 plastic 1.544 56.09 2.275 3 −2.77382 0.44058 4 2nd lens −0.48591 0.22683 plastic 1.642 22.46 −2.250 5 −0.86286 0.02500 6 3rd lens 1.28374 1.25802 plastic 1.544 56.09 3.181 7 3.22060 0.14841 8 Filter plane 0.20000 BK7 SCHOTT 1.517 64.13 9 plane 0.70000 10 Image Plane plane Reference wavelength: 555 nm
(112) TABLE-US-00008 TABLE 6 Coefficients of the aspheric surfaces Surface 2 3 4 5 6 7 k = −5.320008E−01 −2.101338E+01 −1.698864E+00 −3.307848E+00 −8.812530E−01 −6.252920E+00 A4 = −3.794593E−02 −2.814876E−01 1.163520E+00 9.972548E−02 −9.218401E−01 −5.377781E−02 A6 = −1.000084E−01 3.104407E−01 −6.985543E+00 −8.875827E−01 2.344987E+00 6.903268E−02 A8 = 2.538634E−01 −1.947994E+00 2.599786E+01 2.208030E+00 −6.553070E+00 −2.007965E−01 A10 = −5.603208E−01 6.743885E+00 −5.536522E+01 3.494286E+00 1.461331E+01 2.644627E−01 A12 = 3.047353E−01 −1.253974E+01 7.308179E+01 −1.926670E+01 −2.299762E+01 −1.946507E−01 A14 = 0.000000E+00 1.348572E+01 −6.141638E+01 3.231738E+01 2.409654E+01 8.578779E−02 A16 = 0.000000E+00 −8.451553E+00 3.220641E+01 −2.855493E+01 −1.594975E+01 −2.258594E−02 A18 = 0.000000E+00 2.861288E+00 −9.648076E+00 1.354546E+01 6.029039E+00 3.280813E−03 A20 = 0.000000E+00 −4.028677E−01 1.261637E+00 −2.731459E+00 −9.938363E−01 −2.027371E−04
(113) An equation of the aspheric surfaces of the third preferred embodiment is the same as that of the first preferred embodiment, and the definitions are the same as well.
(114) The exact parameters of the third preferred embodiment (with 555 nm as the main reference wavelength) based on Table 5 and Table 6 are listed in the following table:
(115) TABLE-US-00009 Third preferred embodiment (Reference wavelength: 555 nm) InRS31 InRS32 HVT31 HVT32 |ODT|% |TDT|% −0.00989 −0.31808 0.79831 1.10241 1.50788 0.33871 |f/f1| |f/f2| |f/f3| |f1/f3| |f1/f2| |f2/f3| 1.27032 1.28453 0.90844 1.39835 0.98893 1.41400 ΣPPR/ ΣPPR ΣNPR |ΣNPR| ΣPP ΣNP f1/ΣPP 2.17876 1.28453 1.69614 5.45564 −2.24957 0.41695 InTL HOS HOS/HOI InS/HOS InTL/HOS ΣTP/InTL 4.04438 2.99597 1.78324 1.01375 0.74077 0.84459 |InRS31|/TP3 |InRS32|/TP3 HVT32/HOI HVT32/HOS 0.0079 0.2528 0.4861 0.2726 (TP1 + IN12)/ (TP3 + IN23)/ IN12/f TP2 TP2 TP2/ΣTP 0.15247 5.65631 5.65631 0.08964
(116) The exact parameters related to inflection points of the third preferred embodiment (with main reference wavelength as 555 nm) based on Table 5 and Table 6 are listed in the following table:
(117) TABLE-US-00010 Values related to the inflection points of the third preferred embodiment HIF111 0.6147 HIF111/HOI 0.2710 SGI111 0.0891 |SGI111|/(|SGI111| + TP1) 0.0785 HIF112 0.4812 HIF112/HOI 0.2122 SGI112 0.0566 |SGI112|/(|SGI112| + TP1) 0.0514 HIF211 0.5127 HIF211/HOI 0.2261 SGI211 −0.2042 |SGI211|/(|SGI211| + TP2) 0.1634 HIF221 0.5140 HIF221/HOI 0.2266 SGI221 −0.1288 |SGI221|/(|SGI221| + TP2) 0.1096 HIF311 0.3677 HIF311/HOI 0.1621 SGI311 0.0401 |SGI311|/(|SGI311| + TP3) 0.0309 HIF321 0.6246 HIF321/HOI 0.2754 SGI321 0.0509 |SGI321|/(|SGI321| + TP3) 0.0389 (Reference wavelength: 555 nm)
Fourth Preferred Embodiment
(118) As shown in
(119) 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 thereon.
(120) The second lens 420 has negative 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 thereon.
(121) The third lens 430 has positive refractive power, and is made of plastic. An object-side surface 432, which faces the object side, is a convex aspheric surface, and an image-side surface 434, which faces the image side, is a concave aspheric surface. The object-side surface 432 and the image-side surface 434 both have one inflection point thereon.
(122) 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.
(123) The optical image capturing system of the fourth preferred embodiment has the following parameters, which are |f2|=2.629 mm; |f1|=2.450 mm; and |f2|>|f1|, where f1 is a focal length of the first lens 410; f2 is a focal length of the second lens 420.
(124) The optical image capturing system of the fourth preferred embodiment further satisfies TP2=0.215 mm and TP3=1.444 mm, where TP2 is a thickness of the second lens 420 on the optical axis, and TP3 is a thickness of the third lens 430 on the optical axis.
(125) In the fourth preferred embodiment, the first and the third lenses 410, 430 are positive lenses, and their focal lengths are f1 and f3 respectively. The optical image capturing system of the fourth preferred embodiment further satisfies ΣPP=f1+f3=5.70439 mm and f1/(f1+f3)=0.42948, where ΣPP is a sum of the focal lengths of each positive lens. It is helpful to share the positive refractive power of the first lens 410 to the other positive lens to avoid the significant aberration caused by the incident rays.
(126) The optical image capturing system of the fourth preferred embodiment further satisfies ΣNP=f2, where f2 is a focal length of the second lens 420, and ΣNP is a sum of the focal lengths of each negative lens.
(127) The parameters of the lenses of the fourth preferred embodiment are listed in Table 7 and Table 8.
(128) TABLE-US-00011 TABLE 7 f = 2.890 mm; f/HEP = 1.8; HAF = 37.761 deg; tan(HAF) = 0.7746 Radius of curvature Thickness Refractive Abbe Focal length Surface (mm) (mm) Material index number (mm) 0 Object plane 3000 1 Aperture plane 0.025 2 1st lens 2.998988 0.893 plastic 1.544 56.09 2.450 3 −2.159869 0.682 4 2nd lens −0.401292 0.215 plastic 1.642 22.46 −2.629 5 −0.635803 0.025 6 3rd lens 1.397267 1.444 plastic 1.544 56.09 3.254 7 4.156130 0.115 8 Filter plane 0.200 BK7 SCHOTT 1.517 64.13 9 plane 0.700 10 Image Plane plane Reference wavelength: 555 nm. The clear aperture of the third surface is 1.060 mm
(129) TABLE-US-00012 TABLE 8 Coefficients of the aspheric surfaces Surface 2 3 4 5 6 7 k = 1.362696E+00 −1.607824E+01 −1.779113E+00 −3.128736E+00 −1.005235E−01 −2.890826E+00 A4 = −1.061802E−01 −3.186043E−01 7.275449E−01 −2.388256E−01 −6.439017E−01 −7.999813E−02 A6 = 1.443026E−01 3.892705E−01 −2.157641E+00 2.301212E+00 1.331801E+00 9.268036E−03 A8 = −1.855754E+00 −1.650198E+00 6.151816E+00 −8.689047E+00 −2.924987E+00 5.818126E−02 A10 = 1.030755E+01 6.535161E+00 −9.764070E+00 2.353544E+01 4.925219E+00 −7.513945E−02 A12 = −3.800603E+01 −1.658255E+01 8.106311E+00 −4.084789E+01 −5.939244E+00 4.408450E−02 A14 = 8.939147E+01 2.569899E+01 −2.403390E+00 4.443919E+01 4.868202E+00 −1.422997E−02 A16 = −1.287995E+02 −2.370893E+01 −1.223613E+00 −2.949477E+01 −2.564171E+00 2.510706E−03 A18 = 1.029344E+02 1.195833E+01 1.147289E+00 1.095734E+01 7.802818E−01 −2.131331E−04 A20 = −3.486733E+01 −2.541992E+00 −2.557074E−01 −1.749401E+00 −1.043312E−01 5.517283E−06
(130) An equation of the aspheric surfaces of the fourth preferred embodiment is the same as that of the first preferred embodiment, and the definitions are the same as well.
(131) The exact parameters of the fourth preferred embodiment (with 555 nm as the main reference wavelength) based on Table 7 and Table 8 are listed in the following table:
(132) TABLE-US-00013 Fourth preferred embodiment (Reference wavelength: 555 nm) InRS31 InRS32 HVT31 HVT32 |ODT|% |TDT|% 0.08248 −0.37336 1.06345 1.15309 1.50942 0.87655 |f/f1| |f/f2| |f/f3| |f1/f3| |f1/f2| |f2/f3| 1.17960 1.09942 0.88798 1.32840 1.07292 1.23811 ΣPPR/ (TP1 + (TP3 + ΣPPR ΣNPR |ΣNPR| IN12)/TP2 IN23)/TP2 TP2/ΣTP 2.06758 1.09942 1.88061 6.82402 6.82402 0.08435 ΣPP ΣNP f1/ΣPP IN12/f 5.70439 −2.62858 0.42948 0.23610 InTL HOS HOS/HOI InS/HOS InTL/HOS ΣTP/InTL 4.27500 3.26002 1.88492 0.98888 0.76258 0.78303 |InRS31|/TP3 |InRS32|/TP3 HVT32/HOI HVT32/HOS 0.0571 0.2585 0.50842 0.26973
(133) The exact parameters related to inflection points of the fourth preferred embodiment (with main reference wavelength as 555 nm) based on Table 7 and Table 8 are listed in the following table:
(134) TABLE-US-00014 Values related to the inflection points of the fourth preferred embodiment HIF111 0.47168 HIF111/HOI 0.20797 SGI111 0.03221 |SGI111|/(|SGI111| + TP1) 0.03481 HIF211 0.46060 HIF211/HOI 0.20309 SGI211 −0.19705 |SGI211|/(|SGI211| + TP2) 0.47785 HIF221 0.47369 HIF221/HOI 0.20886 SGI221 −0.14125 |SGI221|/(|SGI221| + TP2) 0.39614 HIF311 0.51240 HIF311/HOI 0.22593 SGI311 0.06736 |SGI311|/(|SGI311| + TP3) 0.04456 HIF321 0.57077 HIF321/HOI 0.25166 SGI321 0.03111 |SGI321|/(|SGI321| + TP3) 0.02108 (Reference wavelength: 555 nm)
Fifth Preferred Embodiment
(135) As shown in
(136) The first lens 510 has positive refractive power, and is made of plastic. An object-side surface 512 thereof, which faces the object side, is a convex aspheric surface, and an image-side surface 514 thereof, which faces the image side, is a concave aspheric surface.
(137) 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 image-side surface 524 has two inflection points.
(138) 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 has three inflection points thereon, and the image-side surface 534 has an inflection point thereon.
(139) 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.
(140) The parameters of the lenses of the fifth preferred embodiment are |f2|=1.387 mm; |f1|=1.452 mm; and |f2|<|f1|, where f1 is a focal length of the first lens 510; f2 is a focal length of the second lens 520.
(141) The optical image capturing system of the fifth preferred embodiment further satisfies TP2=0.242 mm and TP3=0.294 mm, where TP2 is a thickness of the second lens 520 on the optical axis, and TP3 is a thickness of the third lens 530 on the optical axis.
(142) In the fifth preferred embodiment, the first and the second lenses 510, 520 are positive lenses, and their focal lengths are f1 and f2 respectively. The optical image capturing system of the fifth preferred embodiment further satisfies ΣPP=f1+f2=2.83947 mm and f1/(f1+f2)=0.51149, where ΣPP is a sum of the focal lengths of each positive lens. It is helpful to share the positive refractive power of the first lens 510 to the other positive lens to avoid the significant aberration caused by the incident rays.
(143) The optical image capturing system of the fifth preferred embodiment further satisfies ΣNP=f3, where ΣNP is a sum of the focal lengths of each negative lens.
(144) The parameters of the lenses of the fifth preferred embodiment are listed in Table 9 and Table 10.
(145) TABLE-US-00015 TABLE 9 f = 1.340 mm; f/HEP = 2.46; HAF = 38.834 deg; tan(HAF) = 0.8050 Radius of curvature Thickness Refractive Abbe Focal length Surface (mm) (mm) Material index number (mm) 0 Object plane 600 1 plane 0.102 2 Aperture plane −0.08312 3 1.sup.st lens 0.49281 0.29050 plastic 1.535 56.05 1.452 4 1.06545 0.21304 5 2.sup.nd lens −0.96594 0.24240 plastic 1.535 56.05 1.387 6 −0.45709 0.03527 7 3.sup.rd lens 16.05009 0.29395 plastic 1.535 56.05 −1.254 8 0.64146 0.10900 9 Filter plane 0.21 10 plane 0.237 11 Image plane plane 0 Reference wavelength: 555 nm
(146) TABLE-US-00016 TABLE 10 Coefficients of the aspheric surfaces Surface 3 4 5 6 7 8 k = 2.01824E−02 9.55965E+00 −4.41020E+01 −1.23809E+01 −1.53530E+04 −6.45641E+00 A4 = 2.73779E−01 9.36063E−01 −3.97557E+00 −9.99887E+00 −2.47339E+00 −2.76537E+00 A6 = −1.74068E+01 6.83878E+00 2.79159E+01 1.81093E+02 1.54556E+01 1.48443E+01 A8 = 1.22816E+03 −9.31427E+02 1.39349E+03 −2.00026E+03 −5.09297E+01 −6.18536E+01 A10 = −3.35987E+04 3.32362E+04 −5.27979E+04 1.50954E+04 1.29379E+02 1.67430E+02 A12 = 4.95528E+05 −5.79704E+05 7.72144E+05 −7.06870E+04 −2.55156E+02 −2.67187E+02 A14 = −3.90842E+06 4.95867E+06 −5.01063E+06 1.84693E+05 2.71245E+02 1.81948E+02 A16 = 1.30544E+07 −1.63270E+07 3.64087E+06 −2.22351E+05 −6.02299E+01 9.99102E+01 A18 = 0.00000E+00 0.00000E+00 1.14092E+08 3.64341E+04 −6.24963E+01 −2.46729E+02 A20 = 0.00000E+00 0.00000E+00 −4.19185E+08 8.63213E+04 −2.79496E+00 1.15666E+02
(147) An equation of the aspheric surfaces of the fifth preferred embodiment is the same as that of the first preferred embodiment, and the definitions are the same as well.
(148) The exact parameters of the fifth preferred embodiment (with 555 nm as the main reference wavelength) based on Table 9 and Table 10 are listed in the following table:
(149) TABLE-US-00017 Fifth preferred embodiment (Reference wavelength: 555 nm) InRS31 InRS32 HVT31 HVT32 |ODT|% |TDT|% −0.03679 −0.04875 0.07573 0.45922 0.81360 0.57628 |f/f1| |f/f2| |f/f3| |f1/f3| |f1/f2| |f2/f3| 0.92259 0.96600 1.06842 0.86351 0.95506 0.90414 ΣPPR/ (TP1 + (TP3 + ΣPPR ΣNPR |ΣNPR| IN12)/TP2 IN23)/TP2 TP2/ΣTP 1.88859 1.06842 1.76764 1.35819 1.35819 0.29316 ΣPP ΣNP f1/ΣPP IN12/f 2.83947 −1.2541 0.51149 0.15899 InTL HOS HOS/HOI InS/HOS InTL/HOS ΣTP/InTL 1.63116 1.07516 1.50754 0.94904 0.65914 0.76905 |InRS31|/TP3 |InRS32|/TP3 HVT32/HOI HVT32/HOS 0.12516 0.16586 0.42441 0.28153
(150) The exact parameters related to inflection points of the fifth preferred embodiment (with main reference wavelength as 555 nm) based on Table 9 and Table 10 are listed in the following table:
(151) TABLE-US-00018 Values related to the inflection points of the fifth preferred embodiment HIF221 0.261825 HIF221/HOI 0.241982 SGI221 −0.0633236 |SGI221|/(|SGI221| + TP2) 0.20713 HIF222 0.415454 HIF222/HOI 0.383969 SGI222 −0.113198 |SGI222|/(|SGI222| + TP2) 0.318336 HIF311 0.04297 HIF311/HOI 0.039713 SGI311 0.000048 |SGI311|/(|SGI311| + TP3) 0.000163 HIF312 0.358423 HIF312/HOI 0.33126 SGI312 −0.0163614 |SGI312|/(|SGI312| + TP3) 0.052725 HIF313 0.538607 HIF313/HOI 0.497788 SGI313 −0.0314042 |SGI313|/(|SGI313| + TP3) 0.096522 HIF321 0.202546 HIF321/HOI 0.187196 SGI321 0.0247325 |SGI321|/(|SGI321| + TP3) 0.077608 (Reference wavelength: 555 nm)
Sixth Preferred Embodiment
(152) As shown in
(153) The first lens 610 has positive refractive power, and is made of plastic. An object-side surface 612 thereof, which faces the object side, is a convex aspheric surface, and an image-side surface 614 thereof, which faces the image side, is a convex aspheric surface. The object-side surface 612 has an inflection point thereon.
(154) The second lens 620 has negative 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 thereon.
(155) The third lens 630 has positive 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 thereon.
(156) 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.
(157) The parameters of the lenses of the sixth preferred embodiment are |f2|=1.706 mm; |f1|=1.791 mm; and |f2|<|f1|, where f1 is a focal length of the first lens 610; f2 is a focal length of the second lens 620.
(158) The optical image capturing system of the sixth preferred embodiment further satisfies TP2=0.338 mm and TP3=0.646 mm, where TP2 is a thickness of the second lens 620 on the optical axis, and TP3 is a thickness of the third lens 630 on the optical axis.
(159) In the sixth preferred embodiment, the first and the third lenses 610, 630 are positive lenses, and their focal lengths are f1 and f3 respectively. The optical image capturing system of the sixth preferred embodiment further satisfies ΣPP=f1+f3=4.0907 mm and f1/(f1+f3)=0.4377, where ΣPP is a sum of the focal lengths of each positive lens. It is helpful to share the positive refractive power of the first lens 610 to the other positive lens to avoid the significant aberration caused by the incident rays.
(160) The optical image capturing system of the sixth preferred embodiment further satisfies ΣNP=f2, where ΣNP is a sum of the focal lengths of each negative lens.
(161) The parameters of the lenses of the sixth preferred embodiment are listed in Table 11 and Table 12.
(162) TABLE-US-00019 TABLE 11 f = 2.334 mm; f/HEP = 1.8; HAF = 43.934 deg; tan(HAF) = 0.9635 Radius of curvature Thickness Refractive Abbe Focal length Surface (mm) (mm) Material index number (mm) 0 Object plane 6000 1 Aperture plane 0.245 2 1st lens 2.273980 1.187 plastic 1.544 56.09 1.791 3 −1.398300 0.234 4 2nd lens −0.424004 0.338 plastic 1.642 22.46 −1.706 5 −0.903506 0.025 6 3rd lens 0.863493 0.646 plastic 1.642 22.46 2.300 7 1.450258 0.326 8 Filter plane 0.300 1.517 64.13 9 plane 0.700 10 Image Plane plane Reference wavelength: 555 nm. The clear aperture of the third surface is 0.980 mm
(163) TABLE-US-00020 TABLE 12 Coefficients of the aspheric surfaces Surface 2 3 4 5 6 7 k = −5.793298E+01 −1.047222E+01 −2.214799E+00 −1.609407E+00 −1.279016E+00 −5.974452E+00 A4 = 5.680888E−01 −3.906179E−01 7.450205E−01 3.279455E−01 −7.661874E−01 7.677749E−02 A6 = −2.795876E+00 −2.002429E−01 −6.574821E+00 −8.799316E−01 1.625831E+00 −1.684057E−01 A8 = 1.063340E+01 −6.185052E−01 2.106066E+01 4.139075E−01 −2.860513E+00 1.039362E−01 A10 = −2.849055E+01 4.623426E+00 −3.528569E+01 3.660140E+00 3.247167E+00 −1.815849E−02 A12 = 4.688333E+01 −7.602169E+00 3.509519E+01 −8.188023E+00 −2.233218E+00 −1.486964E−02 A14 = −4.319063E+01 5.161391E+00 −2.125517E+01 7.720120E+00 8.403317E−01 9.981753E−03 A16 = 1.663827E+01 −1.295352E+00 7.457267E+00 −3.562241E+00 −1.320160E−01 −2.377427E−03 A18 = 0.000000E+00 0.000000E+00 −1.193774E+00 6.639228E−01 −6.379427E−04 2.051198E−04 A20 =
(164) An equation of the aspheric surfaces of the sixth preferred embodiment is the same as that of the first preferred embodiment, and the definitions are the same as well.
(165) The exact parameters of the sixth preferred embodiment (with 555 nm as the main reference wavelength) based on Table 11 and Table 12 are listed in the following table:
(166) TABLE-US-00021 Sixth preferred embodiment (Reference wavelength: 555 nm) InRS31 InRS32 HVT31 HVT32 |ODT|% |TDT|% 0.17395 0.14969 1.06733 1.32084 1.08812 0.25449 |f/f1| |f/f2| |f/f3| |f1/f3| |f1/f2| |f2/f3| 1.30350 1.36818 1.01473 1.28457 0.95272 1.34831 ΣPPR/ (TP1 + (TP3 + ΣPPR ΣNPR |ΣNPR| IN12)/TP2 IN23)/TP2 TP2/ΣTP 2.31823 1.36818 1.69439 1.98672 1.98672 0.15560 ΣPP ΣNP f1/ΣPP IN12/f 4.09066 −1.70591 0.43772 0.10018 InTL HOS HOS/HOI InS/HOS InTL/HOS ΣTP/InTL 3.75481 2.42939 1.65556 1.06530 0.64701 0.89346 |InRS31|/TP3 |InRS32|/TP3 HVT32/HOI HVT32/HOS 0.2693 0.2317 0.58238 0.35177
(167) The exact parameters related to inflection points of the sixth preferred embodiment (with main reference wavelength as 555 nm) based on Table 11 and Table 12 are listed in the following table:
(168) TABLE-US-00022 Values related to the inflection points of the sixth preferred embodiment HIF111 0.5566 HIF111/HOI 0.2454 SGI111 0.0630 |SGI111|/(|SGI111| + TP1) 0.0504 HIF211 0.6152 HIF211/HOI 0.2713 SGI211 −0.3185 |SGI211|/(|SGI211| + TP2) 0.4853 HIF221 0.6419 HIF221/HOI 0.2830 SGI221 −0.1904 |SGI221|/(|SGI221| + TP2) 0.3606 HIF311 0.5698 HIF311/HOI 0.2512 SGI311 0.1351 |SGI311|/(|SGI311| + TP3) 0.1730 HIF321 0.7070 HIF321/HOI 0.3117 SGI321 0.1430 |SGI321|/(|SGI321| + TP3) 0.1813 (Reference wavelength: 555 nm)
(169) It must be pointed out that the preferred embodiments described above are only some preferred 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.