Optical image capturing system
11579408 · 2023-02-14
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 negative 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; the image-side surface of the first lens is a concave surface on the optical axis; the object-side surface of the second lens is a concave surface on the optical axis, and the image-side surface of the second lens is a concave surface on the optical axis; wherein the optical image capturing system satisfies:
1.8≤f/HEP≤2.4;
40 deg<HAF≤45 deg; and
0.5≤SETP/STP<1; 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; ETP1, ETP2, and ETP3 are respectively a thickness of the first lens, the second lens, and the third lens at a height of a half of the entrance pupil diameter away from the optical axis; SETP is a sum of the aforementioned ETP1 to ETP3; TP1, TP2, and TP3 are respectively a thickness of the first lens, the second lens, and the third lens on the optical axis; STP is a sum of the aforementioned TP1 to TP3.
2. The optical image capturing system of claim 1, wherein the third lens has positive refractive power.
3. The optical image capturing system of claim 1, wherein the optical image capturing system further satisfies:
0.6≤f1/|f2|≤1.4; wherein f1 is a focal length of the first lens, and f2 is a focal length of the second lens.
4. The optical image capturing system of claim 1, wherein the optical image capturing system further satisfies:
0.2≤EIN/ETL<1; wherein ETL is a distance in parallel with the optical axis between a coordinate point at a height of a half of the entrance pupil diameter away from the optical axis on the object-side surface of the first lens and the image plane; EIN is a distance in parallel with the optical axis between the coordinate point at the height of a half of the entrance pupil diameter away from the optical axis on the object-side surface of the first lens and a coordinate point at a height of a half of the entrance pupil diameter away from the optical axis on the image-side surface of the third lens.
5. The optical image capturing system of claim 1, wherein the optical image capturing system further satisfies:
0.3≤SETP/EIN<1; wherein EIN is a distance in parallel with the optical axis between the coordinate point at the height of a half of the entrance pupil diameter away from the optical axis on the object-side surface of the first lens and a coordinate point at a height of a half of the entrance pupil diameter away from the optical axis on 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≤HOS≤1.6 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:
MTFE0≥0.2;
MTFE3≥0.01; and
MTFE7≥0.01; wherein MTFE0, MTFE3, and MTFE7 are respectively a value of modulation transfer function in a spatial frequency of 55 cycles/mm at the optical axis, 0.3 HOI, and 0.7 HOI on the image plane for visible light.
8. The optical image capturing system of claim 1, wherein the optical image capturing system further satisfies:
1.3≤f1/f3≤2.2; wherein f1 is a focal length of the first lens, and f3 is a focal length of the third 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; HOS is a distance between the 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 negative refractive power; a third lens having positive 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 to the third lenses 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 concave on the optical axis; the object-side surface of the third lens is convex on the optical axis, and the image-side surface of the third lens is concave on the optical axis; wherein the optical image capturing system satisfies:
1.8≤f/HEP≤2.4;
40 deg<HAF≤45 deg; and
0.2≤EIN/ETL<1; 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; ETL is a distance in parallel with the optical axis between a coordinate point at a height of a half of the entrance pupil diameter away from the optical axis on the object-side surface of the first lens and the image plane; EIN is a distance in parallel with the optical axis between the coordinate point at the height of a half of the entrance pupil diameter away from the optical axis on the object-side surface of the first lens and a coordinate point at a height of a half of the entrance pupil diameter away from the optical axis on the image-side surface of the third lens.
11. The optical image capturing system of claim 10, wherein the optical image capturing system further satisfies:
MTFQ0≥0.2;
MTFQ3≥0.01; and
MTFQ7≥0.01; wherein HOI is a maximum height for image formation perpendicular to the optical axis on the image plane; MTFQ0, MTFQ3, and MTFQ7 are respectively values of modulation transfer function in a spatial frequency of 110 cycles/mm at the optical axis, 0.3 HOI, and 0.7 HOI on an image plane for visible light.
12. The optical image capturing system of claim 10, wherein the object-side surface and the image-side surface of the second lens both have at least two inflection points.
13. The optical image capturing system of claim 10, wherein the optical image capturing system further satisfies:
TP2>TP1; and
TP2>TP3; 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; TP3 is a thickness of the third lens on the optical axis.
14. The optical image capturing system of claim 10, wherein the optical image capturing system further satisfies:
1.1≤TP2/TP3≤1.4; 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.
15. The optical image capturing system of claim 10, wherein the optical image capturing system further satisfies:
1.4≤HOS/f≤1.6; wherein HOS is a distance between an object-side surface of the first lens and the image plane on the optical axis.
16. The optical image capturing system of claim 10, wherein the optical image capturing system further satisfies:
1.4≤HOS/HOI≤1.6; wherein HOS is a distance between an object-side surface of the first lens and the image plane on the optical axis; HOI is a maximum height for image formation perpendicular to the optical axis on the image plane.
17. The optical image capturing system of claim 10, wherein the optical image capturing system further satisfies:
−1.0≤(R1−R2)/(R1+R2)≤−0.7; 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:
−1.5≤(R3−R4)/(R3+R4)≤−1.0; 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:
−0.2≤(R5−R6)/(R5+R6)≤−0.06; 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 negative refractive power; a third lens having positive 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 image-side surface of the first lens is concave on the optical axis; the object-side surface of the second lens is a concave surface on the optical axis, and the image-side surface of the second lens is a concave surface on the optical axis; each of the object-side surface and the image-side surface of the second lens has at least two inflection points thereon; wherein the optical image capturing system satisfies:
2.0≤f/HEP≤2.4;
42 deg≤HAF≤45 deg;
1.4≤HOS/HOI≤1.6; and
0.2≤EIN/ETL<1; 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 the 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; ETL is a distance in parallel with the optical axis between a coordinate point at a height of a half of the entrance pupil diameter away from the optical axis on the object-side surface of the first lens and the image plane; EIN is a distance in parallel with the optical axis between the coordinate point at the height of a half of the entrance pupil diameter away from the optical axis on the object-side surface of the first lens and a coordinate point at a height of a half of the entrance pupil diameter away from the optical axis on the image-side surface of the third lens.
21. The optical image capturing system of claim 20, wherein the optical image capturing system further satisfies:
0.1≤ETP1/TP1≤1; wherein ETP1 is a thickness of the first lens at a height of a half of the entrance pupil diameter away from the optical axis; TP1 is a thickness of the first lens on the optical axis.
22. The optical image capturing system of claim 20, wherein the optical image capturing system further satisfies:
TP2>TP1; and
TP2>TP3; 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; TP3 is a thickness of the third lens on the optical axis.
23. The optical image capturing system of claim 20, wherein the optical image capturing system further satisfies:
1.3≤f1/f3≤2.2; wherein f1 is a focal length of the first 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:
IN12/IN23>1; wherein IN12 is a distance between the first lens and the second lens on the optical axis; IN23 is a distance between the second lens and the third 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 on the optical axis.
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 480 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. Preferably, the optical image capturing system satisfies the condition: 0<ΣPP≤150; and 0.01≤f1/ΣPP≤0.6. 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, 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 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 reduce the total height of the system.
(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 satisfies 0<SGI311/(SGI311+TP3)≤0.9; 0<SGI321/(SGI321+TP3)≤0.9, and preferably satisfies 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+A 16h.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 thickness of the first lens 110 on the optical axis is TP1, and a thickness of the first lens 110 at the height of a half of the entrance pupil diameter (HEP) is denoted by ETP1.
(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 second lens satisfies the condition: 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 thickness of the second lens 120 on the optical axis is TP2, and thickness of the second lens 120 at the height of a half of the entrance pupil diameter (HEP) is denoted by ETP2.
(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 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 closest to the optical axis. A thickness of the third lens 130 on the optical axis is TP3, and a thickness of the third lens 130 at the height of a half of the entrance pupil diameter (HEP) is denoted by ETP3.
(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 HIF312=0.8186 mm; HIF312/HOI=0.4568, where HIF321 is a distance perpendicular to the optical axis between the inflection point on the image-side surface of the third lens closest to the optical axis, and the optical axis.
(64) A distance in parallel with the optical axis between a coordinate point at a height of ½ HEP on the object-side surface of the first lens 110 and the image plane is ETL, and a distance in parallel with the optical axis between the coordinate point at the height of ½ HEP on the object-side surface of the first lens 110 and a coordinate point at a height of ½ HEP on the image-side surface of the third lens 130 is EIN, which satisfy: ETL=2.776 mm; EIN=1.952 mm; EIN/ETL=0.703.
(65) The optical image capturing system of the first embodiment satisfies: ETP1=0.430 mm; ETP2=0.370 mm; ETP3=0.586 mm. The sum of the aforementioned ETP1 to ETP3 is SETP, wherein SETP=1.385 mm. In addition, TP1=0.5132 mm; TP2=0.3363 mm; TP3=0.57 mm. The sum of the aforementioned TP1 to TP3 is STP, wherein STP=1.4194 mm; SETP/STP=0.97576.
(66) In order to enhance the ability of correcting aberration and to lower the difficulty of manufacturing at the same time, the ratio between the thickness (ETP) at the height of a half of the entrance pupil diameter (HEP) and the thickness (TP) of any lens on the optical axis (i.e., ETP/TP) in the optical image capturing system of the first embodiment is particularly controlled, which satisfies: ETP1/TP1=0.837; ETP2/TP2=1.100; ETP3/TP3=1.027.
(67) In order to enhance the ability of correcting aberration, lower the difficulty of manufacturing, and “slightly shortening” the length of the optical image capturing system at the same time, the ratio between the horizontal distance (ED) between two neighboring lenses at the height of a half of the entrance pupil diameter (HEP) and the parallel distance (IN) between these two neighboring lens on the optical axis (i.e., ED/IN) in the optical image capturing system of the first embodiment is particularly controlled, which satisfies: the horizontal distance between the first lens 110 and the second lens 120 at the height of a half of the entrance pupil diameter (HEP) is denoted by ED12, wherein ED12=0.223 mm; the horizontal distance between the second lens 120 and the third lens 130 at the height of a half of the entrance pupil diameter (HEP) is denoted by ED23, wherein ED23=0.344 mm. The sum of the aforementioned ED12 to ED23 is SED, wherein SED=0.567 mm.
(68) The horizontal distance between the first lens 110 and the second lens 120 on the optical axis is denoted by IN12, wherein IN12=0.407 mm, and the ratio therebetween ED12/IN12=0.547. The horizontal distance between the second lens 120 and the third lens 130 on the optical axis is denoted by IN23, wherein IN23=0.214 mm, and the ratio therebetween ED23/IN23=1.612.
(69) The horizontal distance in parallel with the optical axis between a coordinate point at the height of ½ HEP on the image-side surface of the third lens 130 and image surface is denoted by EBL, wherein EBL=0.823 mm. The horizontal distance in parallel with the optical axis between the point on the image-side surface of the third lens 130 where the optical axis passes through and the image plane is denoted by BL, wherein BL=0.871 mm. The optical image capturing system of the first embodiment satisfies: EBL/BL=0.9449. The horizontal distance in parallel with the optical axis between the coordinate point at the height of ½ HEP on the image-side surface of the third lens 130 and the infrared rays filter 190 is denoted by EIR, wherein EIR=0.063 mm. The horizontal distance in parallel with the optical axis between the point on the image-side surface of the third lens 130 where the optical axis passes through and the infrared rays filter 190 is denoted by PIR, wherein PIR=0.114 mm, and it satisfies: EIR/PIR=0.555.
(70) The infrared rays filter 170 is made of glass and between the third lens 130 and the image plane 180. The infrared rays filter 190 gives no contribution to the focal length of the system.
(71) 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.
(72) The parameters of the lenses of the first 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.
(73) 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.
(74) 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.
(75) 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.
(76) 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.
(77) 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.
(78) 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.
(79) 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 f1, f3 are the focal lengths of the first lens and the third lens, and 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.
(80) The optical image capturing system 10 of the first embodiment further satisfies ΣNP=f2=−5.2251 mm, where f2 is the focal length of the second lens, 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.
(81) 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.
(82) 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.
(83) The optical image capturing system 10 of the first 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 lower the total height of the system.
(84) 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 fine tune and correct the aberration of the incident rays layer by layer, and reduce the height of the system.
(85) The optical image capturing system 10 of the first embodiment further satisfies TP2/ΣTP=0.2369, where ΣTP is a sum of 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.
(86) 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 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 ends; InRS32 is a displacement from a point on the image-side surface 134 of the third lens 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 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.
(87) 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 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 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. Whereby, it is helpful to correct the off-axis view field aberration.
(88) 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.
(89) 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.
(90) 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.
(91) 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.
(92) For the optical image capturing system of the first embodiment, the values of MTF in the spatial frequency of 55 cycles/mm at the optical axis, 0.3 field of view, and 0.7 field of view on an image plane for visible light are respectively denoted by MTFE0, MTFE3, and MTFE7, wherein MTFE0 is around 0.86, MTFE3 is around 0.84, and MTFE7 is around 0.77; the values of MTF in the spatial frequency of 110 cycles/mm at the optical axis, 0.3 field of view, and 0.7 field of view on an image plane for visible light are respectively denoted by MTFQ0, MTFQ3, and MTFQ7, wherein MTFQ0 is around 0.63, MTFQ3 is around 0.6, and MTFQ7 is around 0.48; the values of modulation transfer function (MTF) in the half spatial frequency at the optical axis, 0.3 field of view, and 0.7 field of view on an image plane for visible light are respectively denoted by MTFH0, MTFH3, and MTFH7, wherein MTFH0 is around 0.36, MTFH3 is around 0.35, and MTFH7 is around 0.175.
(93) The parameters of the lenses of the first embodiment are listed in Table 1 and Table 2.
(94) TABLE-US-00001 TABLE 1 f = 2.42952 mm; f/HEP = 2.02; HAF 35.87 deg; tan(HAF) = 0.7231 Focal Thickness Refractive Abbe length Surface Radius of curvature (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 nm; the position of blocking light: the clear aperture of the first surface is 0.640 mm.
(95) 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
(96) The figures related to the profile curve lengths obtained based on Table 1 and Table 2 are listed in the following table:
(97) TABLE-US-00003 First embodiment (Reference wavelength: 555 nm) ARE 1/2(HEP) ARE value ARE − 1/2(HEP) 2(ARE/HEP) % TP ARE/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 EHD ARS value ARS − EHD (ARS/EHD)% TP ARS/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%
(98) 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
(99) As shown in
(100) 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 concave aspheric surface. The image-side surface 214 has an inflection point.
(101) 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 concave aspheric surface. The object-side surface 222 has an inflection point, and the image-side surface 224 has two inflection points.
(102) 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 234 both have an inflection point.
(103) 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.
(104) The parameters of the lenses of the second embodiment are listed in Table 3 and Table 4.
(105) TABLE-US-00004 TABLE 3 f = 1.0576 mm; f/HEP = 2.23; HAF = 43.5006 deg Focal Thickness Refractive Abbe length Surface Radius of curvature (mm) (mm) Material index number (mm) 0 Object 1E+18 600 1 Aperture/1.sup.st 0.779569455 0.221 plastic 1.535 56.274 1.63083 lens 2 6.460655013 0.168 3 2.sup.nd lens −1.306228036 0.287 plastic 1.535 56.274 −2.28393 4 21.19482978 0.111 5 3.sup.rd lens 0.319967501 0.243 plastic 1.642 22.456 1.16598 6 0.389557202 0.130 7 Infrared 1E+18 0.145 BK7_SCHOTT 1.517 64.198 rays filter 8 1E+18 0.275 9 Image 1E+18 0.000 plane Reference wavelength: 555 nm; the position of blocking light: none.
(106) TABLE-US-00005 TABLE 4 Coefficients of the aspheric surfaces Surface 1 2 3 4 5 6 k 2.918070E−01 −2.999999E+03 1.770967E+00 1.999932E+03 −4.985105E+00 −1.967704E+00 A4 −4.160586E−01 −5.392042E−01 −4.016587E+00 −2.259288E+01 −8.971496E−01 −3.025409E+00 A6 −1.840493E+01 5.259615E+01 1.895487E+02 4.728239E+02 −8.411090E+00 1.556627E+00 A8 1.132121E+03 −4.669603E+03 −9.225795E+03 −8.245185E+03 −1.619327E+02 2.482046E+01 A10 −2.871599E+04 1.682734E+05 2.524188E+05 1.002710E+05 2.023554E+03 −8.698177E+01 A12 7.595495E+02 −3.338456E+06 −4.355235E+06 −8.344093E+05 −9.525760E+03 9.511815E+01 A14 7.590501E+06 3.687760E+07 4.741031E+07 4.707166E+06 2.304638E+04 8.428642E+01 A16 3.547147E+07 −2.036147E+08 −3.120346E+08 −1.740156E+07 −2.847454E+04 −3.313826E+02 A18 −3.043264E+09 3.367051E+08 1.134802E+09 3.852498E+07 1.423777E+04 3.285770E+02 A20 2.340159E+10 7.660644E+08 −1.757817E+09 −3.878246E+07 0.000000E+00 −1.148981E+02
(107) 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.
(108) The exact parameters of the second embodiment based on Table 3 and Table 4 are listed in the following table:
(109) TABLE-US-00006 Second embodiment (Reference wavelength: 555 nm) MTFE0 MTFE3 MTFE7 MTFQ0 MTFQ3 MTFQ7 0.91 0.9 0.85 0.74 0.72 0.55 ETP1 ETP2 ETP3 ETP1/TP1 ETP2/TP2 ETP3/TP3 0.187 0.311 0.226 0.841 0.996 1.013 ETL EBL EIN EIR PIR SETP 1.545 0.491 1.054 0.071 0.134 0.724 EIN/ETL SETP/EIN EIR/PIR EBL/BL BL STP 0.682 0.687 0.528 0.8869 0.5536 0.757 ED12 ED23 ED12/IN12 ED23/IN23 SED SETP/STP 0.142 0.188 0.819 1.972 0.330 0.956 |f/f1| |f/f2| |f/f3| |f1/f2| |f2/f3| TP1/TP2 0.66244 0.46803 0.89672 1.41538 0.52193 0.71458 ΣPPR ΣNPR ΣPPR/|ΣNPR| IN12/f IN23/f TP2/TP3 1.55916 0.46803 3.33134 0.16399 0.09035 1.39739 TP2/(IN12 + TP2 + IN23) (TP1 + IN12)/TP2 (TP3 + IN23)/TP2 0.53671 1.02225 1.02225 HOS InTL HOS/HOI InS/HOS ODT % TDT % 1.58000 1.02636 1.53696 0.97780 2.98368 1.31824 HVT21 HVT22 HVT31 HVT32 HVT32/HOI HVT32/HOS 0 0.011783 0.355057 0.518263 0.50415 0.32801 TP1 TP2 TP3 (R1 − R2)/ (R3 − R4)/ (R5 − R6)/ (R1 + R2) (R3 + R4) (R5 + R6) 0.227 0.3116 0.2230 −0.8242 −1.0313 −0.0810
(110) The results of the equations of the second embodiment based on Table 3 and Table 4 are listed in the following table:
(111) TABLE-US-00007 Values related to the inflection points of the second embodiment (Reference wavelength: 555 nm) HIF121 0.1050 HIF121/HOI 0.1021 SGI121 0.0006 |SGI121|/(|SGI121| + TP1) 0.0025 HIF211 0.3035 HIF211/HOI 0.2952 SGI211 −0.060811 |SGI211|/(|SGI211| + TP2) 0.2145 HIF221 0.0068 HIF221/HOI 0.0066 SGI221 0.000000 |SGI221|/(|SGI221| + TP2) 0.0000 HIF222 0.3767 HIF222/HOI 0.3664 SGI222 −0.126391 |SGI222|/(|SGI222| + TP2) 0.3621 HIF311 0.1855 HIF311/HOI 0.1804 SGI311 0.0425346 |SGI311|/(|SGI311| + TP3) 0.1604 HIF321 0.2328 HIF321/HOI 0.2265 SGI32I 0.0611559 |SGI321|/(|SGI321| + TP3) 0.2155
Third Embodiment
(112) As shown in
(113) 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 concave aspheric surface. The image-side surface 314 has an inflection point.
(114) 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, and an image-side surface 324 thereof, which faces the image side, is a concave aspheric surface. The object-side surface 322 has an inflection point, and the image-side surface 324 has two inflection points.
(115) The third lens 330 has positive 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 has two inflection points, and the image-side surface 334 has an inflection point.
(116) 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.
(117) The parameters of the lenses of the third embodiment are listed in Table 5 and Table 6.
(118) TABLE-US-00008 TABLE 5 f = 1.0577 mm; f/HEP = 2.23; HAF = 43.50 deg Focal Thickness Refractive Abbe length Surface Radius of curvature (mm) (mm) Material index number (mm) 0 Object 1E+18 600 1 Aperture/1.sup.st 0.779569455 0.221 plastic 1.535 56.274 1.63083 lens 2 6.460655013 0.168 3 2.sup.nd lens −1.306228036 0.287 plastic 1.535 56.274 −2.28393 4 21.19482978 0.111 5 3.sup.rd lens 0.319967501 0.243 plastic 1.642 22.456 1.16598 6 0.389557202 0.130 7 Infrared 1E+18 0.145 BK7_SCHOTT 1.517 64.198 rays filter 8 1E+18 0.275 9 Image 1E+18 0.000 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.
(119) TABLE-US-00009 TABLE 6 Coefficients of the aspheric surfaces Surface 1 2 3 4 5 6 k 5.717625E−01 −3.000000E+03 1.766978E+00 1.999934E+03 −5.530533E+00 −1.948468E+00 A4 −1.509806E+00 −4.539370E−01 −4.127643E+00 −2.133442E+01 −3.126988E−01 −3.211140E+00 A6 2.058119E+02 9.209261E+01 9.378121E+01 4.295869E+02 −1.284660E+01 9.777001E+00 A8 −2.128788E+04 −9.004593E+03 −2.932718E+03 −7.056496E+03 −8.138875E+01 −4.728936E+01 A10 1.255318E+06 4.099585E+05 5.503580E+04 7.561472E+04 1.369299E+03 2.491390E+02 A12 −4.501370E+07 −1.098444E+07 −7.731349E+05 −4.912567E+05 −7.129247E+03 −8.732997E+02 A14 9.911286E+08 1.793730E+08 8.209026E+06 1.697282E+06 1.909213E+04 1.848545E+03 A16 −1.303864E+10 −1.751959E+09 −5.747948E+07 −1.600776E+06 −2.664135E+04 −2.297098E+03 A18 9.372651E+10 9.400664E+09 2.325770E+08 −6.548629E+06 1.542011E+04 1.543021E+03 A20 −2.823476E+11 −2.128997E+10 −4.120081E+08 1.479761E+07 0.000000E+00 −4.314608E+02
(120) 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.
(121) The exact parameters of the third embodiment based on Table 5 and Table 6 are listed in the following table:
(122) TABLE-US-00010 Third embodiment (Reference wavelength: 555 nm) MTFE0 MTFE3 MTFE7 MTFQ0 MTFQ3 MTFQ7 0.91 0.89 0.83 0.74 0.7 0.56 ETP1 ETP2 ETP3 ETP1/TP1 ETP2/TP2 ETP3/TP3 0.186 0.287 0.244 0.843 1.003 1.001 ETL EBL EIN EIR PIR SETP 1.545 0.492 1.053 0.072 0.130 0.717 EIN/ETL SETP/EIN EIR/PIR EBL/BL BL STP 0.682 0.681 0.553 0.8945 0.5500 0.751 ED12 ED23 ED12/IN12 ED23/IN23 SED SETP/STP 0.136 0.200 0.809 1.795 0.336 0.955 |f/f1| |f/f2| |f/f3| |f1/f2| |f2/f3| TP1/TP2 0.64857 0.46311 0.90713 1.40047 0.51051 0.77030 ΣPPR ΣNPR ΣPPR/|ΣNPR| IN12/f IN23/f TP2/TP3 1.55570 0.46311 3.35928 0.15873 0.10520 1.17819 TP2/(IN12 + TP2 + IN23) (TP1 + IN12)/TP2 (TP3 + IN23)/TP3 0.50667 1.23686 1.23686 HOS InTL HOS/HOI InS/HOS ODT % TDT % 1.58000 1.03004 1.53696 0.97758 2.87255 1.25542 HVT21 HVT22 HVT31 HVT32 HVT32/HOI HVT32/HOS 0.00000 0.02373 0.36951 0.52751 0.51314 0.33387 TP1 TP2 TP3 (R1 − R2)/ (R3 − R4)/ (R5 − R6)/ (R1 + R2) (R3 + R4) (R5 + R6) 0.2208 0.2867 0.2433 −0.7847 −1.1314 −0.0981
(123) The results of the equations of the third embodiment based on Table 5 and Table 6 are listed in the following table:
(124) TABLE-US-00011 Values related to the inflection points of the third embodiment (Reference wavelength: 555 nm) HIF111 0.1125 HIF111/HOI 0.1094 SGI111 0.000801 |SGI111|/(|SGI111| + TP1) 0.0036 HIF112 0.2906 HIF112/HOI 0.2827 SGI112 −0.0023 |SGI112|/(|SGI112| + TP1) 0.0103 HIF211 0.3009 HIF211/HOI 0.2927 SGI211 −0.0587 |SGI211|/(|SGI211| + TP2) 0.2100 HIF221 0.0136 HIF221/HOI 0.0133 SGI221 0.000004 |SGI221|/(|SGI221| + TP2) 0.0000 HIF222 0.3699 HIF222/HOI 0.3599 SGI222 −0.1144 |SGI222|/(|SGI222| + TP2) 0.3413 HIF311 0.1927 HIF311/HOI 0.1874 SGI311 0.04302 |SGI311|/(|SGI311| + TP3) 0.1630 HIF321 0.2435 HIF321/HOI 0.2369 SGI321 0.060427 |SGI321|/(|SGI321| + TP3) 0.2148
Fourth Embodiment
(125) As shown in
(126) 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 concave aspheric surface. The image-side surface 414 has an inflection point.
(127) 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 concave aspheric surface. The object-side surface 422 has an inflection point, and the image-side surface 424 has two inflection points.
(128) The third lens 430 has positive 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 has two inflection points, and the image-side surface 434 has an inflection point.
(129) 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.
(130) The parameters of the lenses of the fourth embodiment are listed in Table 7 and Table 8.
(131) TABLE-US-00012 TABLE 7 f = 1.0953 mm; f/HEP = 2.3; HAF = 42.4998 deg Focal Thickness Refractive Abbe length Surface Radius of curvature (mm) (mm) Material index number (mm) 0 Object 1E+18 600 1 Aperture/1.sup.st 0.718182674 0.227 plastic 1.535 56.274 1.58545 lens 2 4.110210434 0.182 3 2.sup.nd lens −1.305274811 0.281 plastic 1.535 56.274 −2.28425 4 21.45173323 0.111 5 3.sup.rd lens 0.310060865 0.229 plastic 1.642 22.456 1.25812 6 0.355657848 0.129 7 Infrared 1E+18 0.145 BK7_SCHOTT 1.517 64.198 rays filter 8 1E+18 0.275 9 Image 1E+18 0.000 plane Reference wavelength: 555 nm; the position of blocking light: none.
(132) TABLE-US-00013 TABLE 8 Coefficients of the aspheric surfaces Surface 1 2 3 4 5 6 k 2.702252E−01 −2.999999E+03 1.770967E+00 1.999932E+03 −4.578355E+00 −1.744236E+00 A4 −3.587532E+00 3.444059E+00 −3.743426E+00 −2.068017E+01 −1.137341E+00 −3.435431E+00 A6 5.807481E+02 −2.019969E+02 5.572537E+01 3.931522E+02 −8.417735E+00 −8.173717E−01 A8 −5.429580E+04 7.633276E+03 −1.314119E+03 −6.375004E+03 −1.785762E+02 6.140583E+01 A10 2.930171E+06 −2.287826E+05 −3.866137E+03 6.965306E+04 2.187413E+03 −2.918409E+02 A12 −9.668570E+07 4.949607E+06 6.339473E+05 −4.938511E+05 −9.984590E+03 7.457833E+02 A14 1.975046E+09 −7.310324E+07 −1.258722E+07 2.233818E+06 2.316126E+04 −1.156374E+03 A16 −2.433536E+10 6.858689E+08 1.227990E+08 −6.318723E+06 −2.718920E+04 1.063430E+03 A18 1.655225E+11 −3.644226E+09 −6.056450E+08 1.101192E+07 1.281033E+04 −5.204120E+02 A20 −4.769146E+11 8.301263E+09 1.201664E+09 −1.002504E+07 0.000000E+00 1.004081E+02
(133) 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.
(134) The exact parameters of the fourth embodiment based on Table 7 and Table 8 are listed in the following table:
(135) TABLE-US-00014 Fourth embodiment (Reference wavelength: 555 nm) MTFE0 MTFE3 MTFE7 MTFQ0 MTFQ3 MTFQ7 0.9 0.89 0.85 0.75 0.72 0.56 ETP1 ETP2 ETP3 ETP1/TP1 ETP2/TP2 ETP3/TP3 0.189 0.282 0.233 0.831 1.004 1.017 ETL EBL EIN EIR PIR SETP 1.539 0.483 1.056 0.063 0.129 0.704 EIN/ETL SETP/EIN EIR/PIR EBL/BL BL STP 0.686 0.667 0.485 0.8798 0.5490 0.737 ED12 ED23 ED12/IN12 ED23/IN23 SED SETP/STP 0.143 0.209 0.787 1.872 0.352 0.955 |f/f1| |f/f2| |f/f3| |f1/f2| |f2/f3| TP1/TP2 0.69082 0.47948 0.87055 1.44076 0.55078 0.80905 ΣPPR ΣNPR ΣPPR/|ΣNPR| IN12/f IN23/f TP2/TP3 1.56137 0.47948 3.25636 0.16632 0.10178 1.22954 TP2/(IN12 + TP2 + IN23) (TP1 + IN12)/TP2 (TP3 + IN23)/TP2 0.48916 1.20978 1.20978 HOS InTL HOS/HOI InS/HOS ODT % TDT % 1.58000 1.03102 1.53696 0.97384 2.94761 1.25713 HVT21 HVT22 HVT31 HVT32 HVT32/HOI HVT32/HOS 0.00000 0.02395 0.34770 0.50331 0.48960 0.31855 TP1 TP2 TP3 (R1 − R2)/ (R3 − R4)/ (R5 − R6)/ (R1 + R2) (R3 + R4) (R5 + R6) 0.2275 0.2812 0.2287 −0.7025 −1.1296 −0.0685
(136) The results of the equations of the fourth embodiment based on Table 7 and Table 8 are listed in the following table:
(137) TABLE-US-00015 Values related to the inflection points of the fourth embodiment (Reference wavelength: 555 nm) HIF111 0.1366 HIF111/HOI 0.1329 SGI111 0.00193 |SGI111|/(|SGI111| + TP1) 0.0084 HIF211 0.3211 HIF211/HOI 0.3123 SGI211 −0.07716 |SGI211|/(|SGI211| + TP2) 0.2533 HIF221 0.0138 HIF221/HOI 0.0134 SGI221 0.000004 |SGI221|/(|SGI221| + TP2) 0.0000 HIF222 0.3722 HIF222/HOI 0.3620 SGI222 −0.1214 |SGI222|/(|SGI222| + TP2) 0.3479 HIF311 0.1847 HIF311/HOI 0.1796 SGI311 0.042064 |SGI311|/(|SGI311| + TP3) 0.1560 HIF312 0.5786 HIF312/HOI 0.5628 SGI312 −0.0104 |SGI312|/(|SGI312| + TP3) 0.0435 HIF321 0.2280 HIF321/HOI 0.2218 SGI321 0.059163 |SGI321|/(|SGI321| + TP3) 0.2064
Fifth Embodiment
(138) As shown in
(139) 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 concave aspheric surface. The image-side surface 514 has an inflection point.
(140) The second lens 520 has negative 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 concave aspheric surface. The object-side surface 522 has an inflection point, and the image-side surface 524 has two inflection points.
(141) The third lens 530 has positive 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.
(142) 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.
(143) The parameters of the lenses of the fifth embodiment are listed in Table 9 and Table 10.
(144) TABLE-US-00016 TABLE 9 f = 1.0077 mm; f/HEP = 2.200; HAF = 44.9812 deg Focal Thickness Refractive Abbe length Surface Radius of curvature (mm) (mm) Material index number (mm) 0 Object 1E+18 600 1 Aperture/1.sup.st 0.901601422 0.220 plastic 1.535 56.274 1.68333 lens 2 608.0161404 0.193 3 2.sup.nd lens −0.816737522 0.246 plastic 1.535 56.274 −1.26919 4 4.51635853 0.077 5 3.sup.rd lens 0.258379841 0.220 plastic 1.642 22.456 0.772968 6 0.355657848 0.165 7 Infrared 1E+18 0.145 BK7_SCHOTT 1.517 64.198 rays filter 8 1E+18 0.275 9 Image 1E+18 0.001 plane Reference wavelength: 555 nm; the position of blocking light: none.
(145) TABLE-US-00017 TABLE 10 Coefficients of the aspheric surfaces Surface 1 2 3 4 5 6 k −1.441365E+00 −9.000000E+01 −9.175909E−02 9.000000E+01 −4.174137E+00 −2.392267E+00 A4 4.861627E−02 −1.825279E+00 −2.617207E−01 −3.087289E+01 −4.094549E+00 −3.471642E+00 A6 −4.832064E+00 5.065922E+01 −4.897160E+01 5.339334E+02 2.042859E+01 6.813258E+00 A8 0.000000E+00 −1.219259E+03 1.248014E+02 −6.935820E+03 −2.547068E+02 1.589243E+00 A10 0.000000E+00 1.507684E+04 5.343538E+03 5.875481E+04 1.946982E+03 −3.099968E+01 A12 0.000000E+00 −6.885452E+04 −2.570360E+04 −3.114639E+05 −7.334305E+03 5.215833E+01 A14 0.000000E+00 0.000000E+00 0.000000E+00 9.677157E+05 1.347760E+04 −3.751596E+01 A16 0.000000E+00 0.000000E+00 0.000000E+00 −1.328589E+06 −9.848253E+03 9.411820E+00 A18 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00 A20 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00
(146) 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.
(147) The exact parameters of the fifth embodiment based on Table 9 and Table 10 are listed in the following table:
(148) TABLE-US-00018 Fifth embodiment (Reference wavelength: 555 nm) MTFE0 MTFE3 MTFE7 MTFQ0 MTFQ3 MTFQ7 0.88 0.8 0.8 0.73 0.52 0.49 ETP1 ETP2 ETP3 ETP1/TP1 ETP2/TP2 ETP3/TP3 0.189 0.247 0.216 0.860 1.006 0.980 ETL EBL EIN EIR PIR SETP 1.513 0.529 0.984 0.108 0.165 0.652 EIN/ETL SETP/EIN EIR/PIR EBL/BL BL STP 0.650 0.663 0.656 0.9029 0.5859 0.686 ED12 ED23 ED12/IN12 ED23/IN23 SED SETP/STP 0.157 0.174 0.815 2.275 0.331 0.951 |f/f1| |f/f2| |f/f3| |f1/f2| |f2/f3| TP1/TP2 0.59863 0.79397 1.30368 0.75398 0.60902 0.89524 ΣPPR ΣNPR ΣPPP/|ΣNPR| IN12/f IN23/f TP2/TP3 1.90231 0.79397 2.39595 0.19123 0.07608 1.11702 TP2/(IN12 + TP2 + IN23) (TP1 + IN12)/TP2 (TP3 + IN23)/TP2 0.47707 1.20721 1.20721 HOS InTL HOS/HOI InS/HOS ODT % TDT % 1.54105 0.95511 1.49908 0.98158 2.69660 0.50343 HVT21 HVT22 HVT31 HVT32 HVT32/HOI HVT32/HOS 0.00000 0.04348 0.36252 0.50476 0.49101 0.32754 TP1 TP2 TP3 (R1 − R2)/ (R3 − R4)/ (R5 − R6)/ (R1 + R2) (R3 + R4) (R5 + R6) 0.2200 0.2457 0.2200 −0.9970 −1.4415 −0.1584
(149) The results of the equations of the fifth embodiment based on Table 9 and Table 10 are listed in the following table:
(150) TABLE-US-00019 Values related to the inflection points of the fifth embodiment (Reference wavelength: 555 nm) HIF111 0.0087 HIF111/HOI 0.0085 SGI111 0.00000 |SGI111|/(|SGI111| + TP1) 0.000000 HIF211 0.2719 HIF211/HOI 0.2645 SGI211 −0.05635 |SGI211|/(|SGI211| + TP2) 0.2039 HIF221 0.0248 HIF221/HOI 0.0242 SGI221 0.000057 |SGI221|/(|SGI221| + TP2) 0.0003 HIF222 0.3413 HIF222/HOI 0.3320 SGI222 −0.1182 |SGI222|/(|SGI222| + TP2) 0.3495 HIF311 0.1661 HIF311/HOI 0.1616 SGI311 0.039557 |SGI311|/(|SGI311| + TP3) 0.1524 HIF321 0.2165 HIF321/HOI 0.2106 SGI321 0.052151 |SGI321|/(|SGI321| + TP3) 0.1916
Sixth Embodiment
(151) As shown in
(152) 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 concave aspheric surface. The image-side surface 614 has an inflection point.
(153) 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 concave aspheric surface. The object-side surface 622 has an inflection point, and the image-side surface 624 has two inflection points.
(154) 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.
(155) 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.
(156) The parameters of the lenses of the sixth embodiment are listed in Table 11 and Table 12.
(157) TABLE-US-00020 TABLE 11 f = 1.0075 mm; f/HEP = 2.000; HAF = 44.9818 deg Focal Thickness Refractive Abbe length Surface Radius of curvature (mm) (mm) Material index number (mm) 0 Object 1E+18 600 1 Aperture/1.sup.st 0.883933193 0.220 plastic 1.535 56.274 1.68251 lens 2 39.46822555 0.189 3 2.sup.nd lens −0.839925856 0.253 plastic 1.535 56.274 −1.30107 4 4.557558979 0.076 5 3.sup.rd lens 0.259925188 0.220 plastic 1.642 22.456 0.784187 6 0.355657848 0.163 7 Infrared 1E+18 0.145 BK7_SCHOTT 1.517 64.198 rays filter 8 1E+18 0.274 9 Image 1E+18 0.001 plane Reference wavelength: 555 nm; the position of blocking light: none.
(158) TABLE-US-00021 TABLE 12 Coefficients of the aspheric surfaces Surface 1 2 3 4 5 6 k −1.441365E+00 −9.000000E+01 −9.175909E−02 9.000000E+01 −4.174137E+00 −2.392267E+00 A4 4.861627E−02 −1.825279E+00 −2.617207E−01 −3.087289E+01 −4.094549E+00 −3.471642E+00 A6 −4.832064E+00 5.065922E+01 −4.897160E+01 5.339334E+02 2.042859E+01 6.813258E+00 A8 0.000000E+00 −1.219259E+03 1.248014E+02 −6.935820E+03 −2.547068E+02 1.589243E+00 A10 0.000000E+00 1.507684E+04 5.343538E+03 5.875481E+04 1.946982E+03 −3.099968E+01 A12 0.000000E+00 −6.885452E+04 −2.570360E+04 −3.114639E+05 −7.334305E+03 5.215833E+01 A14 0.000000E+00 0.000000E+00 0.000000E+00 9.677157E+05 1.347760E+04 −3.751596E+01 A16 0.000000E+00 0.000000E+00 0.000000E+00 −1.328589E+06 −9.848253E+03 9.411820E+00 A18 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00 A20 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00
(159) 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.
(160) The exact parameters of the sixth embodiment based on Table 11 and Table 12 are listed in the following table:
(161) TABLE-US-00022 Sixth embodiment (Reference wavelength: 555 nm) MTFE0 MTFE3 MTFE7 MTFQ0 MTFQ3 MTFQ7 0.88 0.79 0.78 0.72 0.5 0.45 ETP1 ETP2 ETP3 ETP1/TP1 ETP2/TP2 ETP3/TP3 0.189 0.254 0.216 0.860 1.006 0.980 ETL EBL EIN EIR PIR SETP 1.513 0.526 0.987 0.106 0.163 0.659 EIN/ETL SETP/EIN EIR/PIR EBL/BL BL STP 0.652 0.668 0.650 0.9022 0.5830 0.693 ED12 ED23 ED12/IN12 ED23/IN23 SED SETP/STP 0.154 0.173 0.811 2.291 0.327 0.952 |f/f1| |f/f2| |f/f3| |f1/f2| |f2/f3| TP1/TP2 0.59879 0.77434 1.28473 0.77329 0.60272 0.86987 ΣPPR ΣNPR ΣPPR/|ΣNPR| IN12/f IN23/f TP2/TP3 1.88352 0.77434 2.43242 0.18800 0.07517 1.14959 TP2/(IN12 + TP2 + IN23) (TP1 + IN12)/TP2 (TP3 + IN23)/TP2 0.48821 1.16930 1.16930 HOS InTL HOS/HOI InS/HOS ODT % TDT % 1.54103 0.95804 1.49906 0.97740 3.03681 0.55808 HVT21 HVT22 HVT31 HVT32 HVT32/HOI HVT32/HOS 0.00000 0.04297 0.36167 0.50526 0.49150 0.32787 TP1 TP2 TP3 (R1 − R2)/ (R3 − R4)/ (R5 − R6)/ (R1 + R2) (R3 + R4) (R5 + R6) 0.2200 0.2529 0.2200 −0.9562 −1.4519 −0.1555
(162) The results of the equations of the sixth embodiment based on Table 11 and Table 12 are listed in the following table:
(163) TABLE-US-00023 Values related to the inflection points of the sixth embodiment (Reference wavelength: 555 nm) HIF111 0.0348 HIF111/HOI 0.0339 SGI111 0.000013 |SGI111|/(|SGI111| + TP1) 0.0001 HIF211 0.2772 HIF211/HOI 0.2697 SGI211 −0.05628 |SGI211|/(|SGI211| + TP2) 0.2037 HIF212 0.3704 HIF212/HOI 0.3603 SGI212 −0.0851 |SGI212|/(|SGI212| + TP2) 0.2789 HIF221 0.0245 HIF221/HOI 0.0238 SGI221 0.000055 |SGI221|/(|SGI221| + TP2) 0.0002 HIF222 0.3452 HIF222/HOI 0.3358 SGI222 −0.1176 |SGI222|/(|SGI222| + TP2) 0.3483 HIF311 0.1621 HIF311/HOI 0.1577 SGI311 0.037287 |SGI311|/(|SGI311| + TP3) 0.1449 HIF321 0.2138 HIF321/HOI 0.2080 SGI321 0.0503 |SGI321|/(|SGI321| + TP3) 0.1861
(164) 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.