Optical image capturing system
10670831 ยท 2020-06-02
Assignee
Inventors
- Yeong-Ming Chang (Taichung, TW)
- Kuo-Yu Liao (Taichung, TW)
- Chien-Hsun Lai (Taichung, TW)
- Yao-Wei Liu (Taichung, TW)
Cpc classification
H04N25/00
ELECTRICITY
International classification
G02B13/00
PHYSICS
Abstract
An optical image capturing system is provided. In order from an object side to an image side, the optical image capturing system includes a first lens, a second lens, a third lens and a fourth lens. The first lens has a refractive power and the object side thereof may be convex. The second lens and the third lens have refractive power. The object side and the image side thereof may be aspheric. The fourth lens may have positive refractive power. The object side and the image side thereof are aspheric. At least one of sides of the fourth lens may have one inflection point. The four lenses have refractive power. When meeting some certain conditions, the optical image capturing system may have outstanding light-gathering ability and an adjustment ability about the optical path in order to elevate the image quality.
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 with refractive power; a second lens with positive refractive power; a third lens with refractive power; a fourth lens with refractive power; and an image plane, wherein the optical image capturing system comprises the four lenses with refractive power, at least one lens among the third lens to the fourth lens has positive refractive power, focal lengths of the four lenses are respectively expressed as f1, f2, f3 and f4, a focal length of the optical image capturing system is expressed as f, and an entrance pupil diameter of the optical image capturing system is expressed as HEP, a distance on the optical axis from an object side of the first lens to the image plane is expressed as HOS, a distance on the optical axis from the object side of the first lens to an image side of the fourth lens is expressed as InTL, a maximum effective diameter of the image side of the fourth lens is expressed as PhiA4, thicknesses of the first lens to the fourth lens at height of HEP parallel to the optical axis are respectively expressed as ETP1, ETP2, ETP3 and ETP4, a sum of ETP1 to ETP4 described above is expressed as SETP, thicknesses of the first lens to the fourth lens on the optical axis are respectively expressed as TP1, TP2, TP3 and TP4, a sum of TP1 to TP4 described above is expressed as STP, and the following conditions are satisfied: 1.2f/HEP10; 0.5HOS/f7, 0<PhiA4/InTL1.1 and 0.5SETP/STP<1.
2. The optical image capturing system of claim 1, wherein a distance on the optical axis between the first lens and the second lens is expressed as IN12, a distance on the optical axis between the second lens and the third lens is expressed as IN23, and the following condition is satisfied: IN23>IN12.
3. The optical image capturing system of claim 1, wherein a maximum image height perpendicular to the optical axis on the image plane is expressed as HOI, modulation transfer rates of visible light at a first spatial frequency of 55 cycles/mm at positions of the optical axis on the image plane, 0.3 HOI and 0.7 HOI on the image plane are respectively expressed as MTFE0, MTFE3 and MTFE7, and the following conditions are satisfied: MTFE00.3, MTFE30.2, and MTFE70.01.
4. The optical image capturing system of claim 1, wherein a half maximum angle of view of the optical image capturing system is expressed as HAF, and the following condition is satisfied: 0 deg<HAF50 deg.
5. The optical image capturing system of claim 1, wherein a horizontal distance parallel to the optical axis from a first coordinate point on the object side of the first lens at height of HEP to the image plane is expressed as ETL, a horizontal distance parallel to the optical axis from the first coordinate point on the object side of the first lens at height of HEP to a second coordinate point on the image side of the fourth lens at height of HEP is expressed as EIN, and the following condition is satisfied: 0.2EIN/ETL<1.
6. The optical image capturing system according of claim 1, wherein the thickness parallel to the optical axis of the first lens at height of HEP is expressed as ETP1, the thickness parallel to the optical axis of the second lens at height of HEP is expressed as ETP2, the thickness parallel to the optical axis of the third lens at height of HEP is expressed as ETP3, the thickness parallel to the optical axis of the fourth lens at height of HEP is expressed as ETP4, the sum of ETP1 through ETP4 described above is expressed as SETP, and the following condition is satisfied: 0.3SETP/EIN0.8.
7. The optical image capturing system of claim 1, wherein a horizontal distance parallel to the optical axis from a second coordinate point on the image side of the fourth lens at height of HEP to the image plane is expressed as EBL, a horizontal distance parallel to the optical axis from an intersection point where the image side of the fourth lens crosses the optical axis to the image plane is expressed as BL, and the following condition is satisfied: 0.2EBL/BL1.1.
8. The optical image capturing system of claim 1, wherein the optical image capturing system has a maximum image height HOI perpendicular to the optical axis on the image plane, and the following condition is satisfied: 0<PhiA4/2 HOI2.0.
9. The optical image capturing system of claim 1, further comprising an aperture stop, wherein a distance on the optical axis from the aperture stop to the image plane is expressed by InS, an image-sensing device is disposed in the image plane, the optical image capturing system has a maximum image height HOI perpendicular to the optical axis on the image plane, and the following conditions are satisfied: 0.2InS/HOS1.1, and 0.5<HOS/HOI15.
10. An optical image capturing system, in order along an optical axis from an object side to an image side, comprising: a first lens with refractive power; a second lens with positive refractive power; a third lens with refractive power; a fourth lens with refractive power; an image plane; and a first positioning element comprising a holder, wherein the holder is in a hollow shape and opaque, and comprises a cylinder and a basement connected with each other; the cylinder is configured to accommodate the first lens to the fourth lens; the basement is between the fourth lens and the image plane, an outer periphery of the basement is greater than an outer periphery of the cylinder, a maximum value of the minimum side length of the basement perpendicular to the optical axis is expressed as PhiD; wherein the optical image capturing system comprises four lenses with refractive power, at least one lens among the third lens to the fourth lens has positive refractive power, focal lengths of the four lenses of the optical image capturing system are respectively expressed as f1, f2, f3 and f4, a focal length of the optical image capturing system is expressed as f, an entrance pupil diameter of the optical image capturing system is expressed as HEP, a distance on the optical axis from an object side of the first lens to the image plane is expressed as HOS, a half maximum angle of view of the optical image capturing system is expressed as HAF, a maximum effective diameter of an image side of the fourth lens is expressed as PhiA4, a horizontal distance parallel to the optical axis from a first coordinate point on the object side of the first lens at height of HEP to the image plane is expressed as ETL, a horizontal distance parallel to the optical axis from the first coordinate point on the object side of the first lens at height of HEP to a second coordinate point on the image side of the fourth lens at height of HEP is expressed as EIN, and the following conditions are satisfied: 1.2f/HEP10; 0.5HOS/f7; 0 deg<HAF50 deg; 0 mm<PhiD2.0 mm; and 0.2EIN/ETL<1.
11. The optical image capturing system of claim 10, wherein the maximum effective diameter of the image side of the fourth lens HAF is expressed as PhiA4, and the following condition is satisfied: 0<PhiA4/InTL1.1.
12. The optical image capturing system of claim 10, wherein a distance on the optical axis between the first lens and the second lens is expressed as IN12, a distance on the optical axis between the second lens and the third lens is expressed as IN23, a distance on the optical axis between the third lens and the fourth lens is expressed as IN34, and the following conditions are satisfied: IN23>IN12 and IN23>IN34.
13. The optical image capturing system of claim 10, wherein an object side of the second lens on the optical axis is a convex surface and an image side of the second lens on the optical axis is a convex surface.
14. The optical image capturing system of claim 10, wherein thicknesses of the second lens, the third lens and the fourth lens on the optical axis are respectively expressed as TP2, TP3 and TP4, and the following conditions are satisfied: TP2>TP3 and TP2>TP4.
15. The optical image capturing system of claim 10, wherein the following condition is satisfied: 0<PhiA4/HEP3.0.
16. The optical image capturing system of claim 10, wherein the optical image capturing system has a maximum image height HOI perpendicular to the optical axis on the image plane, and the following condition is satisfied: 0<PhiA4/2HOI1.0.
17. The optical image capturing system of claim 10, wherein a horizontal distance parallel to the optical axis from a third coordinate point on an image side of the third lens at height of HEP to a fourth coordinate point on an object side of the fourth lens at height of HEP is expressed as ED34; a distance between the third lens and the fourth lens on the optical axis is expressed as IN34 and the following condition is satisfied: 0.5ED34/IN3410.
18. The optical image capturing system of claim 10, wherein a horizontal distance parallel to the optical axis from a fifth coordinate point on an image side of the second lens at height of HEP to a sixth coordinate point on an object side of the third lens at height of HEP is expressed as ED23; a distance between the second lens and the third lens on the optical axis is expressed as IN23 and the following condition is satisfied: 0.1ED23/IN235.
19. The optical image capturing system of claim 10, wherein a maximum image height perpendicular to the optical axis on the image plane is expressed as HOI, modulation transfer rates of visible light at a second spatial frequency of 110 cycles/mm at positions of the optical axis on the image plane, 0.3 HOI and 0.7 HOI on the image plane are respectively expressed as MTFQ0, MTFQ3 and MTFQ7, and the following conditions are satisfied: MTFQ00.3, MTFQ30.2, and MTFQ70.01.
20. An optical image capturing system, in order along an optical axis from an object side to an image side, comprising: a first lens with refractive power; a second lens with positive refractive power; a third lens with positive refractive power; a fourth lens with refractive power; an image plane; a first positioning element comprising a holder, wherein the holder is in a hollow shape and opaque, and comprises a cylinder and a basement connected with each other, and the cylinder is configured to accommodate the four lenses; the basement is between the fourth lens and the image plane; an outer periphery of the basement is greater than an outer periphery of the cylinder; and a maximum value of the minimum side length of the basement perpendicular to the optical axis is expressed as PhiD; and a second positioning element accommodated in the holder and comprising a positioning part and a connecting part, wherein the positioning part is in a hollow shape, and directly contacts and accommodates any one of the four lenses to arrange the four lenses on the optical axis; the connecting part is disposed outside the positioning part and directly contacts an inner periphery of the cylinder, and a maximum outer diameter of the connecting part on a plane perpendicular to the optical axis is expressed as PhiC; wherein the optical image capturing system comprises the four lenses with refractive power, at least one surface of at least one lens among the first lens to the fourth lens has at least one inflection point, focal lengths of the four lenses are respectively expressed as f1, f2, f3 and f4, a focal length of the optical image capturing system is expressed as f, and an entrance pupil diameter of the optical image capturing system is expressed as HEP, a distance on the optical axis from an object side of the first lens to the image plane is expressed as HOS, a half maximum angle of view of the optical image capturing system is expressed as HAF, a maximum effective diameter of an image side of the fourth lens is expressed as PhiA4, a horizontal distance parallel to the optical axis from a first coordinate point on the object side of the first lens at height of HEP to the image plane is expressed as ETL, a horizontal distance parallel to the optical axis from the first coordinate point on the object side of the first lens at height of HEP to a second coordinate point on the image side of the fourth lens at height of HEP is expressed as EIN, and the following conditions are satisfied: 1.2f/HEP10; 0.5HOS/f7; 0 deg<HAF50 deg; 0<PhiA4/InTL1.1; PhiC<PhiD; 0 mm<PhiD2.0 mm; and 0.2EIN/ETL<1.
21. The optical image capturing system of claim 20, wherein a distance on the optical axis between the first lens and the second lens is expressed as IN12, a distance on the optical axis between the second lens and the third lens is expressed as IN23, a distance on the optical axis between the third lens and the fourth lens is expressed as IN34, and the following conditions are satisfied: IN23>IN12 and IN23>IN34.
22. The optical image capturing system of claim 20, thicknesses of the second lens, the third lens and the fourth lens on the optical axis are respectively expressed as TP2, TP3 and TP4, and the following condition is satisfied: TP2>TP3 and TP2>TP4.
23. The optical image capturing system of claim 20, wherein the following condition is satisfied: 0 mm<PhiA41.5 mm.
24. The optical image capturing system of claim 20, wherein the optical image capturing system has a maximum image height HOI perpendicular to the optical axis on the image plane, a relative illumination on the maximum image height HOI of the optical image capturing system is expressed as RI, modulation transfer rates of visible light at a first spatial frequency of 55 cycles/mm at positions of the optical axis on the image plane, 0.3 HOI and 0.7 HOI on the image plane are respectively expressed as MTFE0, MTFE3 and MTFE7, and the following conditions are satisfied: MTFE00.3; MTFE30.2; MTFE70.1 and 10%RI<100%.
25. The optical image capturing system of claim 20, further comprising an aperture stop, an image-sensing device and a driving module, wherein the image-sensing device is disposed in the image plane, a distance on the optical axis from the aperture stop to the image plane is expressed as InS, the driving module is coupled with the four lenses to displace the four lenses, and the following condition is satisfied: 0.2InS/HOS1.1.
Description
BRIEF DESCRIPTION OF THE DRAWINGS
(1) The structure, operating principle and effects of the present invention will be described in detail by way of various embodiments illustrated in the accompanying drawings.
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DETAILED DESCRIPTION OF THE PREFERRED EMBODIMENTS
(27) An optical image capturing system is provided, which includes, in the order from the object side to the image side, a first lens, a second lens, a third lens, a fourth lens with refractive power and an image plane. The optical image capturing system may further include an image-sensing device, which is disposed on the image plane.
(28) The optical image capturing system may use three sets of operation wavelengths, which are 486.1 nm, 587.5 nm and 656.2 nm, respectively, and 587.5 nm serves as the primary reference wavelength and is a reference wavelength to obtain technical features of the optical system. The optical image capturing system may also use five sets of wavelengths, which are 470 nm, 510 nm, 555 nm, 610 nm and 650 nm, respectively, and 555 nm serves as the primary reference wavelength and is a reference wavelength to obtain technical features of the optical system.
(29) The ratio of the focal length f of the optical image capturing system to a focal length fp of each lens with positive refractive power is PPR. The ratio of the focal length f of the optical image capturing system to a focal length fn of each lens with negative refractive power is NPR. The sum of the PPR of all lenses with positive refractive power is PPR. The sum of the NPR of all lenses with negative refractive power is NPR. The total refractive power and the total length of the optical image capturing system can be controlled easily when the following condition is satisfied: 0.5 PPR/|NPR|4.5; preferably, the following condition is satisfied: 0.9PPR/|NPR|3.5.
(30) The height of the optical image capturing system is expressed as HOS. When the value of HOS/f is approximately one, the configuration is beneficial for manufacturing the minimized optical image capturing system with high pixel for image formation.
(31) The sum of the fp of all lenses with positive refractive power of the optical image capturing system is PP. The sum of the fp of all lenses with negative refractive power of the optical image capturing system is NP. In one embodiment of the optical image capturing system, the following conditions are satisfied: 0<PP200 and f4/PP0.85; preferably, the following conditions are satisfied: 0<PP150 and 0.01f4/PP0.7. Hereby, it is favorable for controlling the ability of focusing for the optical image capturing system and for distributing appropriately the positive refractive power of the optical image capturing system such that an observable aberration is suppressed to occur too early.
(32) The optical image capturing system may further include an image-sensing device disposed on the image plane. The half diagonal of the effective detection field of the image-sensing device (image formation height or the maximum image height of the optical image capturing system) may be expressed as HOI. The distance on the optical axis from the object side of the first lens to the image plane may be expressed as HOS. The following conditions are satisfied: HOS/HOI15 and 0.5HOS/f20.0. Preferably, the following conditions may be satisfied: 1HOS/HOI10 and 1HOS/f15. Hereby, this configuration can keep the miniaturization of the optical image capturing system to collocate with a light and thin portable electronic product.
(33) In addition, in the optical image capturing system of the present invention, according to different requirements, at least one aperture may be arranged to reduce stray light and help elevate the image quality.
(34) In the optical image capturing system of the invention, the aperture may be a front or middle aperture. Wherein, the front aperture is the aperture between a photographed object and the first lens while the middle aperture is the aperture between the first lens and the image plane. In the case that the aperture is the front aperture, it can make the optical image capturing system generate a longer distance between the exit pupil and the image plane, such that the optical image capturing system can accommodate more optical elements and the efficiency of the image-sensing device in receiving image can be increased. In the case that the aperture is the middle aperture, it can expand the angle of view of the optical image capturing system, such that the optical image capturing system has the advantage of the camera lens with wide angle. The distance from the foregoing aperture to the image plane may be expressed as InS. The following condition is satisfied: 0.2InS/HOS1.1. Preferably, the following condition may be satisfied: 0.4InS/HOS1. Therefore, the optical image capturing system can be kept miniaturized and have a feature of wide angle of view.
(35) In the optical image capturing system of the present invention, the distance from the object side of the first lens to the image side of the fourth lens may be expressed as InTL. The sum of thicknesses of all lenses with refractive power on the optical axis may be expressed as TP. The following condition is satisfied: 0.2TP/InTL0.95. Preferably, the following conditions may be satisfied: 0.2TP/InTL0.9. Hereby, this configuration can keep the contrast ratio of the optical image capturing system and the yield rate about manufacturing lens at the same time, and provide the proper back focal length so as to accommodate other elements.
(36) The curvature radius of the object side of the first lens is R1. The curvature radius of the image side of the first lens is R2. The following condition is satisfied: 0.01|R1/R2|100. Preferably, the following condition is satisfied: 0.01|R1/R2|60.
(37) The curvature radius of the object side of the fourth lens is R7. The curvature radius of the image side of the fourth lens is R8. The following condition is satisfied: 200<(R7R8)/(R7+R8)<30. Hereby, this configuration is beneficial for correcting the astigmatism generated by the optical image capturing system.
(38) The distance between the first lens and the second lens on the optical axis is IN12, and the following condition is satisfied: 0<IN12/f5.0. Preferably, the following condition is satisfied: 0.01IN12/f4.0. Thereby, this configuration is helpful to improve the chromatic aberration of the lens in order to elevate the performance of the optical image capturing system.
(39) The distance between the second lens and the third lens on the optical axis is IN23, and the following condition is satisfied: 0<IN23/f5.0. Preferably, the following condition is satisfied: 0.01IN23/f3.0. Thereby, this configuration is helpful to improve the performance of the optical image capturing system.
(40) The distance between the third lens and the fourth lens on the optical axis is IN34, and the following condition is satisfied: 0<IN34/f5.0. Preferably, the following condition is satisfied: 0.001IN34/f3.0. Thereby, this configuration is helpful to improve the performance of the optical image capturing system.
(41) The central thicknesses of the first lens and the second lens on the optical axis are respectively TP1 and TP2, and the following condition is satisfied: 1(TP1+IN12)/TP220. With this configuration, the sensitivity of the optical image capturing system can be controlled, and performance of the optical image capturing system can be improved.
(42) The central thicknesses of the third lens and the fourth lens on the optical axis are respectively TP3 and TP4. The distance between the third lens and the fourth lens on the optical axis is IN34, and the following condition is satisfied: 0.2(TP4+IN34)/TP420. With this configuration, the sensitivity of the optical image capturing system can be controlled and the total height of the optical image capturing system can be reduced.
(43) The distance between the second lens and the third lens on the optical axis is IN23, and the sum of central thicknesses of the first lens through the fourth lens on the optical axis is TP, and the following condition is satisfied: 0.01IN23/(TP2+IN23+TP3)0.9. Preferably, the following condition is satisfied: 0.05IN23/(TP2+IN23+TP3)0.7. With this configuration, the aberration generated when the incident light is travelling inside the optical system can be corrected slightly layer upon layer, and the total height of the optical image capturing system can be reduced.
(44) In the optical image capturing system of the present invention, the horizontal distance parallel to the optical axis, which is measured from the intersection point where the object side of the fourth lens crosses the optical axis to the terminal point of the maximum effective half diameter on the object side of the fourth lens, may be expressed as InRS41. (When the horizontal distance is toward the image side, InRS41 is positive values. When the horizontal distance is toward the object side, InRS41 is a negative value.) The horizontal distance parallel to the optical axis, which is measured from the intersection point where the image side of the fourth lens crosses the optical axis to the terminal point of the maximum effective half diameter on the image side of the fourth lens, may be expressed as InRS42. The central thickness of the fourth lens is TP4. The following conditions are satisfied: 1 mmInRS411 mm, 1 mmInRS421 mm, 1 mm|InRS41|+|InRS42 |2 mm, 0.01|InRS41|/TP410, 0.01|InRS42|/TP410. Hereby, the control of the position of the maximum effective half diameter between the object side and the image side of the fourth lens is favorable for correcting aberration for peripheral field of view of the optical image capturing system and effectively keeping miniaturization of the optical image capturing system.
(45) In the optical image capturing system of the present invention, the horizontal distance parallel to the optical axis from an inflection point on the object side of the fourth lens that is the first nearest to the optical axis to an intersection point where the object side of the fourth lens crosses the optical axis may be expressed as SGI411. The horizontal distance in parallel with the optical axis from an inflection point on the image side of the fourth lens that is the first nearest to the optical axis to an intersection point where the image side of the fourth lens crosses the optical axis may be expressed as SGI421. The following conditions are satisfied: 0<SGI411/(SGI411+TP4)0.9 and 0<SGI421/(SGI421+TP4)0.9. Preferably, the following conditions are satisfied: 0.01<SGI411/(SGI411+TP4)0.7 and 0.01<SGI421/(SGI421+TP4)0.7.
(46) In the optical image capturing system of the present invention, the horizontal distance parallel to the optical axis from an inflection point on the object side of the fourth lens that is the second nearest to the optical axis to an intersection point where the object side of the fourth lens crosses the optical axis may be expressed as SGI412. The horizontal distance in parallel with the optical axis from an inflection point on the image side of the fourth lens that is the second nearest to the optical axis to an intersection point where the image side of the fourth lens crosses the optical axis may be expressed as SGI422. The following conditions are satisfied: 0<SGI412/(SGI412+TP4)0.9 and 0<SGI422/(SGI422+TP4)0.9. Preferably, the following conditions are satisfied: 0.1SGI412/(SGI412+TP4)0.8 and 0.1SGI422/(SGI422+TP4)0.8.
(47) The perpendicular distance between the inflection point on the object side of the fourth lens that is the first nearest to the optical axis and the optical axis may be expressed as HIF411. The perpendicular distance between an intersection point where the image side of the fourth lens crosses the optical axis and an inflection point on the image side of the fourth lens that is the first nearest to the optical axis may be expressed as HIF421. The following conditions are satisfied: 0.01HIF411/HOI0.9, and 0.01HIF421/HOI0.9. Preferably, the following conditions are satisfied: 0.09HIF411/HOI0.5 and 0.09HIF421/HOI0.5.
(48) The perpendicular distance between the inflection point on the object side of the fourth lens that is the second nearest to the optical axis and the optical axis may be expressed as HIF412. The perpendicular distance between an intersection point where the image side of the fourth lens crosses the optical axis and an inflection point on the image side of the fourth lens that is the second nearest to the optical axis may be expressed as HIF422. The following conditions are satisfied: 0.01HIF412/HOI0.9, and 0.01HIF422/HOI0.9. Preferably, the following conditions are satisfied: 0.09HIF412/HOI0.8 and 0.09HIF422/HOI0.8.
(49) The perpendicular distance between the inflection point on the object side of the fourth lens that is the third nearest to the optical axis and the optical axis may be expressed as HIF413. The perpendicular distance between an intersection point where the image side of the fourth lens crosses the optical axis and an inflection point on the image side of the fourth lens that is the third nearest to the optical axis may be expressed as HIF423. The following conditions are satisfied: 0.001 mm|HIF413|5 mm, and 0.001 mm|HIF423 |5 mm. Preferably, the following conditions are satisfied: 0.1 mm|HIF423 |3.5 mm and 0.1 mm|HIF413 |3.5 mm.
(50) The perpendicular distance between the inflection point on the object side of the fourth lens that is the fourth nearest to the optical axis and the optical axis may be expressed as HIF414. The perpendicular distance between an intersection point where the image side of the fourth lens crosses the optical axis and an inflection point on the image side of the fourth lens that is the fourth nearest to the optical axis may be expressed as HIF424. The following conditions are satisfied: 0.001 mm|HIF414|5 mm, and 0.001 mm|HIF424 |5 mm. Preferably, the following conditions are satisfied: 0.1 mm|HIF424 |3.5 mm and 0.1 mm|HIF414 |3.5 mm.
(51) In one embodiment of the optical image capturing system of the present invention, the chromatic aberration of the optical image capturing system can be corrected by alternatively arranging the lenses with large coefficient of dispersion and small coefficient of dispersion, and the chromatic aberration of the optical image capturing system can be corrected.
(52) The equation for the aforementioned 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)
(53) where z is a position value of the position along the optical axis and at the height h which reference to the surface apex; k is the conic coefficient, c is the reciprocal of curvature radius, and A4, A6, A8, A10, A12, A14, A16, A18, and A20 are high order aspheric coefficients.
(54) In the optical image capturing system provided by the present invention, the lens may be made of glass or plastic. If the lens is made of plastic, it can reduce the manufacturing cost as well as the weight of the lens effectively. If lens is made of glass, it can control the heat effect and increase the design space of the configuration of the lens with refractive power in the optical image capturing system. Besides, the object side and the image side of the first lens through fourth lens may be aspheric, which can gain more control variables and even reduce the number of the used lenses in contrast to traditional glass lens in addition to the use of reducing the aberration. Thus, the total height of the optical image capturing system can be reduced effectively.
(55) Furthermore, in the optical image capturing system provided by the present invention, when the surface of lens is a convex surface, the surface of that lens is a convex surface in the vicinity of the optical axis in principle. When the surface of lens is a concave surface, the surface of that lens is a concave surface in the vicinity of the optical axis in principle.
(56) In addition, in the optical image capturing system of the present invention, according to different requirements, at least one aperture may be arranged for reducing stray light and improving the imaging quality.
(57) The optical image capturing system of the present invention can be applied to the optical image capturing system with automatic focus based on the demand and have the characteristics of good aberration correction and good image quality. Thereby, the optical image capturing system can expand the application aspect.
(58) The optical image capturing system of the present invention may include a driving module upon demand, the driving module couples with the four lenses to displace the lenses. The driving module described above may be the voice coil motor (VCM) which is applied to move the lens to focus, or may be the optical image stabilization (OIS) which is applied to reduce the frequency the optical system is out of focus owing to the vibration of the lens during photo or video shooting.
(59) At least one lens of the first lens, the second lens, the third lens and the fourth lens may be a light filtering element for light with wavelength of less than 500 nm, depending on the design requirements. The light filtering element may be made by coating film on at least one surface of that lens with certain filtering function, or forming that lens with material that can filter light with short wavelength.
(60) According to the above embodiments, the specific embodiments with figures are presented in detail as below.
The First Embodiment
(61) Please refer to
(62) The first lens 110 has negative refractive power and is made of a glass material. The first lens 110 has a convex object side 112 and the first lens 110 has a concave image side 114. Both of the object side 112 and the image side 114 of the first lens 110 are aspheric. The thickness of the first lens 110 on the optical axis is TP1. The thickness of the first lens 110 at the height of entrance pupil diameter (HEP) may be expressed as ETP1.
(63) The horizontal distance parallel to the optical axis from an inflection point on the object side 112 of the first lens 110 that is the nearest to the optical axis to the intersection point where the object side 112 of the first lens 110 crosses the optical axis may be expressed as SGI111. The horizontal distance parallel to the optical axis from an inflection point on the image side 114 of the first lens 110 that is the nearest to the optical axis to the intersection point where the image side 114 of the first lens 110 crosses the optical axis may be expressed as SGI121. The following conditions are satisfied: SGI111=0 mm, SGI121=0 mm, |SGI111|/(|SGI111|+TP1)=0 and |SGI121|/(|SGI121|+TP1)=0.
(64) The perpendicular distance between the optical axis and the inflection point on the object side 112 of the first lens 110 that is the nearest to the optical axis is expressed as HIF111. The perpendicular distance between the optical axis and the inflection point on the image side 114 of the first lens 110 that is the nearest to the optical axis may be expressed as HIF121. The following conditions are satisfied: HIF111=0 mm, HIF121=0 mm, HIF111/HOI=0, HIF121/HOI=0.
(65) The second lens 120 has positive refractive power and is made of plastic. An object side 122 of the second lens 120 is a concave surface and an image side 124 of the second lens 120 is a convex surface. Both of the object side 122 and the image side 124 of the second lens 120 are aspheric. The object side 122 of the second lens 120 has one inflection point. The thickness of the second lens 120 on the optical axis is TP2. The thickness of the second lens 120 at the height of entrance pupil diameter (HEP) may be expressed as ETP2.
(66) The horizontal distance parallel to the optical axis from an inflection point on the object side 122 of the second lens 120 that is the nearest to the optical axis to an intersection point where the object side 122 of the second lens 120 crosses the optical axis may be expressed as SGI211. The horizontal distance parallel to the optical axis from an inflection point on the image side 124 of the second lens 120 that is the nearest to the optical axis to the intersection point where the image side 124 of the second lens 120 crosses the optical axis is expressed as SGI221. The following conditions are satisfied: SGI211=0.13283 mm and SGI211/(SGI211+TP2)=0.05045.
(67) The perpendicular distance between the inflection point on the object side 122 of the second lens 120 that is the nearest to the optical axis and the optical axis may be expressed as HIF211. The perpendicular distance between the inflection point on the image side 124 of the second lens 120 that is the nearest to the optical axis and the optical axis may be expressed as HIF221. The following conditions are satisfied: HIF211=2.10379 mm and HIF211/HOI=0.69478.
(68) The third lens 130 has negative refractive power and is made of plastic. An object side 132 of the third lens 130 is a concave surface and an image side 134 of the third lens 130 is a concave surface. Both of the object side 132 and the image side 134 of the third lens 130 are aspheric. The image side 134 of the third lens 130 has one inflection point. The thickness of the third lens 130 on the optical axis is TP3. The thickness of the third lens 130 at the height of entrance pupil diameter (HEP) may be expressed as ETP3.
(69) The horizontal distance parallel to the optical axis from an inflection point on the object side 132 of the third lens 130 that is the nearest to the optical axis to an intersection point where the object side 132 of the third lens 130 crosses the optical axis may be expressed as SGI311. The horizontal distance parallel to the optical axis from an inflection point on the image side 134 of the third lens 130 that is the nearest to the optical axis to the intersection point where the image side 134 of the third lens 130 crosses the optical axis may be expressed as SGI321. The following conditions are satisfied: SGI321=0.01218 mm and |SGI321|/(|SGI321|+TP3)=0.03902.
(70) The perpendicular distance between the inflection point on the object side 132 of the third lens 130 that is the nearest to the optical axis and the optical axis may be expressed as HIF311. The perpendicular distance between the inflection point on the image side 134 of the third lens 130 that is the nearest to the optical axis and the optical axis is expressed as HIF321. The following conditions are satisfied: HIF321=0.84373 mm and HIF321/HOI=0.27864.
(71) The fourth lens 140 has positive refractive power and is made of plastic. An object side 142 of the fourth lens 140 is a convex surface and an image side 144 of the fourth lens 140 is a convex surface. Both of the object side 142 and the image side 144 of the fourth lens 140 are aspheric. The image side 144 of the fourth lens 140 has one inflection point. The thickness of the fourth lens 140 on the optical axis is TP4. The thickness of the fourth lens 140 at the height of entrance pupil diameter (HEP) may be expressed as ETP4.
(72) The horizontal distance parallel to the optical axis from an inflection point on the object side 142 of the fourth lens 140 that is the first nearest to the optical axis to an intersection point where the object side 142 of the fourth lens 140 crosses the optical axis may be expressed as SGI411. The horizontal distance parallel to the optical axis from an inflection point on the image side 144 of the fourth lens 140 that is the first nearest to the optical axis to the intersection point where the image side 144 of the fourth lens 140 crosses the optical axis may be expressed as SGI421. The following conditions are satisfied: SGI411=0 mm, SGI421=0.41627 mm, |SGI411|/(|SGI411|+TP4)=0 and |SGI421|/(|SGI421|+TP4)=0.25015.
(73) The horizontal distance parallel to the optical axis from an inflection point on the object side 142 of the fourth lens 140 that is the second nearest to the optical axis to an intersection point where the object side 142 of the fourth lens 140 crosses the optical axis may be expressed as SGI412. The following conditions are satisfied: SGI412=0 mm and |SGI412|/(|SGI412|+TP4)=0.
(74) The perpendicular distance between the inflection point on the object side 142 of the forth lens 140 that is the first nearest to the optical axis and the optical axis may be expressed as HIF411. The perpendicular distance between the inflection point on the image side 144 of the fourth lens 140 that is the first nearest to the optical axis and the optical axis may be expressed as HIF421. The following conditions are satisfied: HIF411=0 mm, HIF421=1.55079 mm, HIF411/HOI=0 and HIF421/HOI=0.51215.
(75) The perpendicular distance between the inflection point on the object side 142 of the fourth lens 140 that is the second nearest to the optical axis and the optical axis may be expressed as HIF412. The following conditions are satisfied: HIF412=0 mm and HIF412/HOI=0.
(76) The distance parallel to the optical axis between the coordinate point of the object side 112 of the first lens 110 at a height of HEP and the image plane 180 may be expressed as ETL. The distance parallel to the optical axis between the coordinate point of the object side 112 of the first lens 110 at a height of HEP and the coordinate point of the image side 144 of the fourth lens 140 at a height of HEP may be expressed as EIN. The following conditions may be satisfied: ETL=18.744 mm, EIN=12.339 mm and EIN/ETL=0.658.
(77) The first embodiment meets the following conditions: ETP1=0.949 mm; ETP2=2.483 mm; ETP3=0.345 mm; ETP4=1.168 mm. The sum of ETP1 to ETP4 described above is expressed as SETP; SETP=4.945 mm. TP1=0.918 mm; TP2=2.500 mm; TP3=0.300 mm; TP4=1.248 mm; the sum of TP1 to TP4 described above is expressed as STP; STP=4.966 mm; and SETP/STP=0.996.
(78) The first embodiment particularly controls the ratio relationship (ETP/TP) between the thickness (ETP) of each lens at a height of entrance pupil diameter (HEP) and the thickness (TP) of the lens to which the surface belongs on the optical axis in order to achieve a balance between manufacturability and capability of aberration correction. The following relationships may be satisfied: ETP1/TP1=1.034, ETP2/TP2=0.993, ETP3/TP3=1.148 and ETP4/TP4=0.936.
(79) The first embodiment controls the horizontal distance between each two adjacent lenses at a height of entrance pupil diameter (HEP) to achieve a balance between the degree of miniaturization for the length of the optical image capturing system HOS, the manufacturability and the capability of aberration correction. The ratio relationship (ED/IN) of the horizontal distance (ED) between the two adjacent lens at the height of entrance pupil diameter (HEP) to the horizontal distance (IN) on the optical axis between the two adjacent lens is particularly controlled. The following relationships are satisfied: the horizontal distance parallel to the optical axis between the first lens 110 and the second lens 120 at a height of entrance pupil diameter (HEP) may be expressed as ED12=4.529 mm. The horizontal distance parallel to the optical axis between the second lens 120 and the third lens 130 at a height of entrance pupil diameter (HEP) may be expressed as ED23=2.735 mm. The horizontal distance parallel to the optical axis between the third lens 130 and the fourth lens 140 at a height of entrance pupil diameter (HEP) may be expressed as ED34=0.131 mm.
(80) The horizontal distance on the optical axis between the first lens 110 and the second lens 120 may be expressed as IN12=4.571 mm and ED12/IN12=0.991. The horizontal distance on the optical axis between the second lens 120 and the third lens 130 may be expressed as IN23=2.752 mm and ED23/IN23=0.994. The horizontal distance on the optical axis between the third lens 130 and the fourth lens 140 may be expressed as IN34=0.094 mm and ED34/IN34=1.387.
(81) The horizontal distance parallel to the optical axis between a coordinate point on the image side 144 of the fourth lens 140 at the height of HEP and the image plane 180 may be expressed as EBL=6.405 mm. The horizontal distance parallel to the optical axis between an intersection point where the image side 144 of the fourth lens 140 crosses the optical axis and the image plane 180 may be expressed as BL=6.3642 mm. The embodiment of the present invention may meet the following relationship: EBL/BL=1.00641. In the first embodiment, the distance parallel to the optical axis between the coordinate point on the image side 144 of the fourth lens 140 at the height of HEP and the infrared filter 170 may be expressed as EIR=0.065 mm. The distance parallel to the optical axis between the intersection point where the image side 144 of the fourth lens 140 crosses the optical axis and the infrared filter 170 may be expressed as PIR=0.025 mm. The following relationship is satisfied: EIR/PIR=2.631.
(82) The infrared filter 170 is made of glass. The infrared filter 170 is disposed between the fourth lens 140 and the image plane 180, and does not affect the focal length of the optical image capturing system 10.
(83) In the optical image capturing system 10 of the first embodiment, the focal length of the optical image capturing system 10 may be expressed as f. The entrance pupil diameter of the optical image capturing system 10 may be expressed as HEP. A half maximum angle of view of the optical image capturing system 10 may be expressed as HAF. The detailed parameters are shown as below: f=2.6841 mm, f/HEP=2.7959, HAF=70 deg. and tan(HAF)=2.7475.
(84) In the optical image capturing system 10 of the first embodiment, the focal length of the first lens 110 may be expressed as f1. The focal length of the fourth lens 140 may be expressed as f4. The following conditions are satisfied: f1=5.4534 mm, f/f1 |=0.4922, f4=2.7595 mm and |f1/f4 |=1.9762.
(85) In the optical image capturing system 10 of the first embodiment, focal lengths of the second lens 120 to the third lens 130 may be respectively expressed as f2 and f3. The following conditions are satisfied: |f2|+|f3|=13.2561 mm, |f1|+|f4|=8.2129 mm and |f2|+|f3|>|f1|+f4|.
(86) The ratio of the focal length f of the optical image capturing system 10 to the focal length fp of each of lenses with positive refractive power may be expressed as PPR. The ratio of the focal length f of the optical image capturing system 10 to a focal length fn of each of lenses with negative refractive power may be expressed as NPR. In the optical image capturing system 10 of the first embodiment, the sum of the PPR of all lenses with positive refractive power is PPR=|f/f2|+|f/f4|=1.25394. The sum of the NPR of all lenses with negative refractive power is NPR=|f/f1|+|f/f2|=1.21490, PPR/|NPR|=1.03213. Simultaneously, the following conditions are also satisfied: |f/f1|=0.49218, |f/f2|=0.28128, |f/f3|=0.72273, |f/f4|=0.97267.
(87) In the optical image capturing system 10 of the first embodiment, the distance from the object side 112 of the first lens 110 to the image side 144 of the fourth lens 140 may be expressed as InTL. The distance from the object side 112 of the first lens 110 to the image plane 180 may be expressed as HOS. The distance from the aperture 100 to the image plane 180 may be expressed as InS. A half diagonal length of the effective detection field of the image-sensing device 190 may be expressed as HOI. The distance from the image side 144 of the fourth lens 140 to the image plane 180 may be expressed as InB. The following conditions are satisfied: InTL+InB=HOS, HOS=18.74760 mm, HOI=3.088 mm, HOS/HOI=6.19141, HOS/f=6.9848, InTL/HOS=0.6605, InS=8.2310 mm and InS/HOS=0.4390.
(88) In the optical image capturing system 10 of the first embodiment, a total thickness of all lenses with refractive power on the optical axis may be expressed as TP. The following conditions are satisfied: TP=4.9656 mm and TP/InTL=0.4010. Hereby, this configuration can keep the contrast ratio of the optical image capturing system and the yield rate about manufacturing lens at the same time, and provide the proper back focal length to accommodate other elements.
(89) In the optical image capturing system 10 of the first embodiment, the curvature radius of the object side 112 of the first lens 110 may be expressed as R1. The curvature radius of the image side 114 of the first lens 110 may be expressed as R2. The following condition is satisfied: |R1/R2|=9.6100. Hereby, the first lens 110 has a suitable magnitude of positive refractive power to prevent the longitudinal spherical aberration from increasing too fast.
(90) In the optical image capturing system 10 of the first embodiment, the curvature radius of the object side 142 of the fourth lens 140 may be expressed as R7. The curvature radius of the image side 144 of the fourth lens 140 may be expressed as R8. The following condition is satisfied: (R7R8)/(R7+R8)=35.5932. Hereby, this configuration is beneficial for correcting the astigmatism generated by the optical image capturing system.
(91) In the optical image capturing system 10 of the first embodiment, the sum of focal lengths of all lenses with positive refractive power may be expressed as PP. The following conditions are satisfied: PP=12.30183 mm and f4/PP=0.22432. Hereby, this configuration is helpful to distribute the positive refractive power of the fourth lens 140 to other lenses with positive refractive power in an appropriate way to suppress the generation of noticeable aberrations in the propagating process of the incident light in the optical image capturing system 10.
(92) In the optical image capturing system 10 of the first embodiment, the sum of focal lengths of all lenses with negative refractive power may be expressed as NP. The following conditions are satisfied: NP=14.6405 mm and f1/NP=0.59488. Hereby, this configuration is helpful to distribute the negative refractive power of the fourth lens to other lenses with negative refractive power in an appropriate way to suppress the generation of noticeable aberrations in the propagating process of the incident light in the optical image capturing system 10.
(93) In the optical image capturing system 10 of the first embodiment, the distance on the optical axis between the first lens 110 and the second lens 120 may be expressed as IN12. The following conditions are satisfied: IN12=4.5709 mm and IN12/f=1.70299. Therefore, this configuration is helpful to improve the chromatic aberration of the lens in order to elevate the performance of the optical image capturing system 10 of the first embodiment.
(94) In the optical image capturing system 10 of the first embodiment, the distance on the optical axis between the second lens 120 and the third lens 130 may be expressed as IN23. The following conditions are satisfied: IN23=2.7524 mm and IN23/f=1.02548. Therefore, this configuration is helpful to improve the chromatic aberration of the lens in order to elevate the performance of the optical image capturing system 10 of the first embodiment.
(95) In the optical image capturing system 10 of the first embodiment, the distance on the optical axis between the third lens 130 and the fourth lens 140 may be expressed as IN34. The following conditions are satisfied: IN34=0.0944 mm and IN34/f=0.03517. Therefore, this configuration is helpful to improve the chromatic aberration of the lens in order to elevate the performance of the optical image capturing system 10 of the first embodiment.
(96) In the optical image capturing system 10 of the first embodiment, the thicknesses of the first lens 110 and the second lens 120 on the optical axis may be expressed respectively as TP1 and TP2. The following conditions are satisfied: TP1=0.9179 mm, TP2=2.5000 mm, TP1/TP2=0.36715 and (TP1+IN12)/TP2=2.19552. Therefore, this configuration is helpful to control the sensitivity generated by the optical image capturing system 10 and elevate the performance of the optical image capturing system 10 of the first embodiment.
(97) In the optical image capturing system 10 of the first embodiment, the thicknesses of the third lens 130 and the fourth lens 140 on the optical axis may respectively be expressed as TP3 and TP4 and the distance between the aforementioned two lenses on the optical axis is IN34. The following conditions are satisfied: TP3=0.3 mm, TP4=1.2478 mm, TP3/TP4=0.24043 and (TP4+IN34)/TP3=4.47393. Therefore, this configuration is helpful to control the sensitivity generated by the optical image capturing system 10 and elevate the performance of the optical image capturing system 10 of the first embodiment.
(98) In the optical image capturing system 10 of the first embodiment, the following conditions are satisfied: IN23/(TP2+IN23+TP3)=0.49572. Therefore, this configuration is helpful to slightly correct the aberration of the propagating process of the incident light layer by layer and decrease the total height of the optical image capturing system.
(99) In the optical image capturing system 10 of the first embodiment, the horizontal distance parallel to the optical axis from a maximum effective diameter position on the object side 142 of the fourth lens 140 to the intersection point where the object side 142 of the fourth lens 140 crosses the optical axis may be expressed as InRS41. The horizontal distance parallel to the optical axis from a maximum effective diameter position on the image side 144 of the fourth lens 140 to an intersection point where the image side 144 of the fourth lens 140 crosses the optical axis may be expressed as InRS42. The thickness of the fourth lens 140 on the optical axis may be expressed as TP4. The following conditions are satisfied: InRS41=0.2955 mm, InRS42=0.4940 mm, |InRS41|+|InRS42|=0.7894 mm, |InRS41|/TP4=0.23679, and |InRS42|/TP4=0.39590. Hereby, the configuration is favorable to the manufacturing and forming of the lens and maintaining the minimization for the optical image capturing system 10.
(100) In the optical image capturing system 10 of the first embodiment, the perpendicular distance between a critical point C41 on the object side 142 of the fourth lens 140 and the optical axis may be expressed as HVT41. The perpendicular distance between a critical point C42 on the image side 144 of the fourth lens 140 and the optical axis may be expressed as HVT42. The following conditions are satisfied: HVT41=0 mm, HVT42=0 mm.
(101) In the optical image capturing system 10 of the first embodiment, the following condition is satisfied: HVT42/HOI=0.
(102) In the optical image capturing system 10 of the first embodiment, the following condition is satisfied: HVT42/HOS=0.
(103) In the optical image capturing system 10 of the first embodiment, the coefficient of dispersion of the first lens 110 may be expressed as NA1. The coefficient of dispersion of the second lens 120 may be expressed as NA2. The coefficient of dispersion of the third lens 130 may be expressed as NA3. The coefficient of dispersion of the fourth lens 140 may be expressed as NA4. The following condition is satisfied: |NA1NA2|=0.0351. Hereby, this configuration is helpful to correct the chromatic aberration of the optical image capturing system.
(104) In the optical image capturing system 10 of the first embodiment, TV distortion and optical distortion for image formation in the optical image capturing system 10 may be respectively expressed as TDT and ODT. The following conditions are satisfied: TDT=37.4846% and ODT=55.3331%.
(105) In the optical image capturing system 10 of the present embodiment, the modulation transfer rates (values of MTF) for the visible light at the quarter spatial frequency of 110 cycles/mm at positions of the optical axis, 0.3 HOI and 0.7 HOI on the image plane 180 are respectively denoted as MTFQ0, MTFQ3 and MTFQ7. The following conditions are satisfied: MTFQ0 is about 0.65, MTFQ3 is about 0.52 and MTFQ7 is about 0.42. The modulation transfer rates (values of MTF) for the visible light at the spatial frequency of 55 cycles/mm at positions of the optical axis, 0.3 HOI and 0.7 HOI on the image plane 180 are denoted as MTFE0, MTFE3 and MTFE7 respectively. The following conditions are satisfied: MTFE0 is about 0.84, MTFE3 is about 0.76 and MTFE7 is about 0.69. In the optical image capturing system 10 of the present embodiment, when the operation wavelength 850 nm focuses on image plane 180, the modulation transfer rates (MTF values) with the spatial frequency of 55 cycles/mm where the images are at the optical axis, 0.3 field of view and 0.7 field of view are respectively expressed as MTFI0, MTFI3 and MTFI7. The following conditions are satisfied: MTFI0 is about 0.83, MTFI3 is about 0.79 and MTFI7 is about 0.65.
(106) Please refer to
(107) Please refer to
(108) The optical image capturing system of this embodiment includes a second positioning element 720. The second positioning element 720 is accommodated in the holder 714 of the first positioning element 710, and comprises a positioning part 722 and a connecting part 724. The positioning part 722 is in a hollow shape and has a third through hole 7241 and a fourth through hole 7242 formed on the two opposite ends on the optical axis. The third through hole 7241 is connected with the positioning part 722, and the fourth through hole 7242 is connected with the basement 7142. The positioning part 722 directly contacts with any one of the lenses of this embodiment and generates the positioning effect of accommodating the lens and arranging the lens on the optical axis. The connecting part 724 is disposed outside the positioning part 722 and can directly combine with the cylinder 7141, so that the second positioning element 720 can be accommodated in the holder 714 of the first positioning element 710. The optical image capturing system has function of adjusting and positioning the focal length in optical axis direction. The maximum outer diameter of the connecting part 724 on the plane perpendicular to the optical axis is expressed as PhiC, and PhiC=2.85 mm. The maximum diameter of the inner hole of the fourth through hole 7242 is expressed as Phi4. The connecting part 724 may possess the thread and make the second positioning element 720 be engaged with the holder 714 of the first positioning element 710.
(109) Any one of lenses of this embodiment can be indirectly disposed in the first positioning element 710 by the second positioning element 720, and disposed closer to the third through hole 7241 than the image-sensing device, and face the image-sensing device.
(110) In this embodiment, the lens nearest to the image plane 780 is the fourth lens 740, a maximum effective diameter of the image side 744 of the fourth lens 740 is expressed as PhiA4, and the following condition is satisfied: PhiA4=a double of EHD42=1.767 mm. The image side 744 of the fourth lens 740 is aspheric. Cutoff points of the maximum effective diameter include cutoff points of the aspheric surface. The ineffective half diameter (IHD) of image side 744 of the fourth lens 740 is a surface section extended from the cutoff points of the maximum effective half diameter of the same surface in a direction away from the optical axis. In this embodiment, the lens which is the nearest to the image plane 780 is the fourth lens 140. The maximum diameter of the image side 744 of the fourth lens 740 is expressed as PhiB, and the following condition is satisfied: PhiB=a double of (a maximum EHD 42+a maximum IHD)=PhiA4+a double of a (maximum IHD)=2.167 mm.
(111) In this embodiment, the maximum effective diameter of the image side 744 of the fourth lens 740 which is the nearest to the image plane 780 (that is, the image space), also called optical exit pupil, is expressed as PhiA4. The pupil magnification ratio of the optical image capturing system is expressed as PMR. The following condition is satisfied: PMR=PhiA4/HEP=1.84337. A ratio to pupil and image is expressed as PMMR, and the following condition is satisfied: PMMR=PhiA4/ImgH=0.58355. A condensed ratio is expressed as PSMR, and the following condition is satisfied: PSMR=PhiA4/InTL=0.14269.
(112) Table 1 and Table 2 below should be incorporated into the reference of the first embodiment.
(113) TABLE-US-00001 TABLE 1 Lens Parameter for the First Embodiment f(focal length) = 2.6841 mm; f/HEP = 2.7959; HAF(half angle of view) = 70 deg; tan(HAF) = 2.7475 Surface Thickness No. Curvature Radius (mm) Material 0 Object Plane Infinity 1 First Lens 31.98102785 0.918 Glass 2 3.327880578 4.571 3 Second Lens 15.2556818 2.500 Plastic 4 4.681543531 2.528 5 Aperture Plane 0.225 6 Third Lens 2.453543123 0.300 Plastic 7 127.8664454 0.094 8 Fourth Lens 2.697747363 1.248 Plastic 9 2.853715061 0.725 10 Infrared filter Plane 2.000 BK7_SCHOTT 11 Plane 3.640 12 Image Plane Plane Surface No. Refractive Index Coefficient of Dispersion Focal Length 0 1 1.688 50.26 5.453 2 3 1.642 22.46 9.542 4 5 6 1.642 22.46 3.714 7 8 1.544 56.09 2.759 9 10 1.517 64.13 11 12 Reference Wavelength = 555 nm. Shield Position: the 3rd surface with effective aperture radius = 3.0 mm
(114) TABLE-US-00002 TABLE 2 Aspheric Coefficients of the First Embodiment Aspheric Coefficients Surface No. 3 4 6 k 2.918829E+01 3.214789E+00 1.504539E+01 A4 9.004096E04 9.725260E06 8.890018E05 A6 2.391364E04 8.096303E05 1.166688E02 A8 2.421089E05 7.787465E07 5.720942E04 A10 1.716292E06 3.517517E07 8.305770E04 A12 0.000000E+00 0.000000E+00 0.000000E+00 Surface No. 7 8 9 k 2.970417E+01 1.613370E+01 1.145951E+00 A4 3.634454E02 9.587367E03 4.742020E03 A6 3.060142E02 3.693991E03 1.232422E03 A8 8.833265E03 8.653836E04 3.333400E04 A10 1.362695E03 7.093620E05 2.583094E06 A12 0.000000E+00 0.000000E+00 0.000000E+00
(115) Table 1 is the detailed structure data to the first embodiment in
The Second Embodiment
(116) Please refer to
(117) The first lens 210 has negative refractive power and is made of plastic. An object side 212 of the first lens 210 is a convex surface and an image side 214 of the first lens 210 is a concave surface. Both of the object side 212 and the image side 214 of the first lens 210 are aspheric. Both of the object side 212 and the image side 214 of the first lens 210 has one inflection point.
(118) The second lens 220 has positive refractive power and is made of plastic. An object side 222 of the second lens 220 is a convex surface and an image side 224 of the second lens 220 is a convex surface. Both of the object side 222 and the image side 224 of the second lens 220 are aspheric. The object side 222 of the second lens 220 has one inflection point.
(119) The third lens 230 has positive refractive power and is made of plastic. An object side 232 of the third lens 230 is a concave surface and an image side 234 of the third lens 230 is a convex surface. Both of the object side 232 and the image side 234 of the third lens 230 are aspheric. Both of the object side 232 and the image side 234 of the third lens 230 has one inflection point.
(120) The fourth lens 240 has negative refractive power and is made of plastic. An object side 242 of the fourth lens 240 is convex a surface and an image side 244 of the fourth lens 240 is a concave surface. Both of the object side 242 and the image side 244 of the fourth lens 240 are aspheric. Both of the object side 242 and the image side 244 of the fourth lens 240 has one inflection point.
(121) The infrared filter 270 is made of glass. The infrared filter 270 is disposed between the fourth lens 240 and the image plane 280, and does not affect the focal length f of the optical image capturing system 20.
(122) In the optical image capturing system 20 of the second embodiment, both of the second lens 220 and the third lens 230 have positive refractive power. The focal lengths of the second lens 220 and the third lens 230 are respectively expressed as f2 and f3. The sum of the fp of all lenses with positive refractive power of the optical image capturing system 20 is PP, and the following condition is satisfied: PP=f2+f3. Hereby, this configuration is helpful to distribute the positive refractive power of the single lens to other lenses with positive refractive power in an appropriate way to suppress the generation of noticeable aberrations in the propagating process of the incident light in the optical image capturing system 20.
(123) In the optical image capturing system 20 of the second embodiment, a sum of the focal lengths of all lenses with negative refractive power is NP, and the following condition is satisfied: NP=f1+f3.
(124) Please refer to the following Table 3 and Table 4.
(125) The detailed data of the optical image capturing system 20 of the second Embodiment is as shown in Table 3.
(126) TABLE-US-00003 TABLE 3 Lens Parameter for the Second Embodiment f(focal length) = 1.323 mm; f/HEP = 1.8; HAF(half angle of view) = 37.5 deg; tan(HAF) = 0.7673 Surface Thickness No. Curvature Radius (mm) Material 0 Object Plane Infinity 1 First Lens 2.815155869 0.175 Plastic 2 1.16843349 0.051 3 Aperture Plane 0.066 4 Second Lens 0.599339272 0.450 Plastic 5 1.411016917 0.133 6 Third Lens 0.317760089 0.187 Plastic 7 0.356324528 0.050 8 Fourth Lens 1.400960481 0.238 Plastic 9 0.686143826 0.219 10 Infrared filter Plane 0.210 BK7_SCHOTT 11 Plane 0.31 12 Image Plane Plane Surface No. Refractive Index Coefficient of Dispersion Focal Length 0 1 1.515 56.55 4.014 2 3 4 1.544 55.96 0.837 5 6 1.642 22.46 5.004 7 8 1.642 22.46 2.390 9 10 1.517 64.13 11 12 Reference Wavelength = 555 nm; Shield Position: the 1st surface with effective aperture radius = 0.43 mm; the 5th surface with effective aperture radius = 0.390 mm.
(127) TABLE-US-00004 TABLE 4 Aspheric Coefficients of the Second Embodiment Aspheric Coefficients Surface No. 1 2 4 5 k 2.100896E+01 3.117650E+01 6.594072E01 5.749340E+00 A4 1.034815E+00 1.247743E+00 2.144582E+00 5.564182E01 A6 1.467293E+01 3.933644E+01 2.397809E+01 5.601046E+01 A8 4.846220E+02 1.049222E+03 1.466540E+03 7.715029E+02 A10 7.102825E+03 1.234792E+04 4.393327E+04 8.580555E+03 A12 5.884002E+04 5.356074E+04 7.002153E+05 6.735915E+04 A14 2.820526E+05 1.558329E+05 6.248007E+06 2.902619E+05 A16 7.245452E+05 2.134561E+06 2.912419E+07 5.267012E+05 A18 7.701193E+05 5.176547E+06 5.535295E+07 1.326747E+05 A20 1.874256E+01 0.000000E+00 0.000000E+00 0.000000E+00 Surface No. 6 7 8 9 k 1.293538E+00 1.778968E+00 9.958872E02 9.720777E+00 A4 5.280891E+00 7.147752E+00 2.668792E+00 6.993487E01 A6 4.929357E+01 1.152802E+02 1.053723E+02 9.822777E+00 A8 5.524670E+02 1.188148E+03 1.164018E+03 9.374187E+01 A10 2.181848E+04 6.205622E+03 7.629138E+03 4.377047E+02 A12 2.298819E+05 2.212051E+04 3.098893E+04 1.160682E+03 A14 1.176507E+06 6.949962E+04 7.777603E+04 1.720966E+03 A16 3.006163E+06 1.681686E+05 1.168351E+05 1.259258E+03 A18 3.050941E+06 1.906600E+05 9.146103E+04 3.228384E+02 A20 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00
(128) In the second embodiment, the presentation of the aspheric surface equation is similar to that in the first embodiment. Furthermore, the definitions of parameters in following tables are similar to those in the first embodiment, so the repetitive details will not be given here.
(129) The following values for the conditions can be obtained from the data in Table 3 and Table 4.
(130) TABLE-US-00005 Second Embodiment (Primary Reference Wavelength = 555 nm) ETP1 ETP2 ETP3 ETP4 ED12/ED23 SED 0.178 0.299 0.223 0.269 1.948 0.426 ETP1/TP1 ETP2/TP2 ETP3/TP3 ETP4/TP4 ED23/ED34 SETP 1.018 0.664 1.193 1.128 0.493 0.969 ETL EBL EIN EIR PIR STP 2.085 0.691 1.395 0.171 0.219 1.050 EIN/ETL SETP/EIN EIR/PIR EBL/BL BL SETP/STP 0.669 0.695 0.777 0.9344 0.7395 0.922 ED12 ED23 ED34 ED12/IN12 ED23/IN23 ED34/IN34 0.167 0.086 0.174 1.428 0.645 3.473 InRS41 InRS42 HVT41 HVT42 ODT % TDT % 0.02448 0.00545 0.30907 0.42296 1.30002 0.70606 |f/f1| |f/f2| |f/f3| |f/f4| |f1/f2| |f2/f3| 0.32944 1.58025 0.26432 0.55346 4.79676 0.16726 PPR/ PPR NPR |NPR| PP NP f1/PP 1.84456 0.88290 2.08922 5.84043 6.40396 0.68735 f4/NP IN12/f IN23/f IN34/f TP3/f TP4/f 0.37314 0.08827 0.10034 0.03781 0.14140 0.18018 InTL HOS HOS/HOI InS/HOS InTL/HOS TP/InTL 1.34974 2.08923 2.03232 0.89196 0.64605 0.77815 (TP1 + IN12)/ (TP4 + IN34)/ TP2 TP3 TP1/TP2 TP3/TP4 IN23/(TP2 + IN23 + TP3) 0.64830 1.54164 0.38889 0.78476 0.17240 |InRS41|/ |InRS42|/ TP4 TP4 HVT42/HOI HVT42/HOS PhiA4/InTL PhiA4/HOI 0.1027 0.0229 0.4114 0.2024 1.0372 0.6809 PhiA4 PhiB PhiC PhiD RI9 PhiA4/HEP 1.4 mm 1.8 mm 2.2 mm 2.5 mm 50% 1.9055 MTFE0 MTFE3 MTFE7 MTFQ0 MTFQ3 MTFQ7 0.92 0.9 0.85 0.83 0.77 0.67
(131) The following values for the conditions can be obtained from the data in Table 3 and Table 4.
(132) TABLE-US-00006 Values Related to Inflection Point of Second Embodiment (Primary Reference Wavelength = 555 nm) HIF111 0.1522 HIF111/ 0.1481 SGI111 0.0034 |SGI111|/ 0.0192 HOI (|SGI111| + TP1) HIF121 0.1456 HIF121/ 0.1417 SGI121 0.0074 |SGI121|/ 0.0408 HOI (|SGI121| + TP1) HIF211 0.2328 HIF211/ 0.2264 SGI211 0.0389 |SGI211|/ 0.0796 HOI (|SGI211| + TP2) HIF311 0.2617 HIF311/ 0.2546 SGI311 0.0900 |SGI311|/ 0.3249 HOI (|SGI311| + TP3) HIF321 0.2495 HIF321/ 0.2427 SGI321 0.0673 |SGI321|/ 0.2646 HOI (|SGI321| + TP3) HIF411 0.1827 HIF411/ 0.1778 SGI411 0.0122 |SGI411|/ 0.0486 HOI (|SGI411| + TP4) HIF421 0.2076 HIF421/ 0.2020 SGI421 0.0250 |SGI421|/ 0.0950 HOI (|SGI421| + TP4)
The Third Embodiment
(133) Please refer to
(134) The first lens 310 has positive refractive power and is made of plastic. An object side 312 of the first lens 310 is a convex surface and an image side 314 of the first lens 310 is a concave surface. Both of the object side 312 and the image side 314 of the first lens 310 are aspheric. Both of the object side 312 and the image side 314 of the first lens 310 has one inflection point.
(135) The second lens 320 has positive refractive power and is made of plastic. An object side 322 of the second lens 320 is a convex surface and an image side 324 of the second lens 320 is a convex surface. Both of the object side 322 and the image side 324 of the second lens 320 are aspheric. Both of the object side 322 and the image side 324 of the second lens 320 have one inflection point.
(136) The third lens 330 has positive refractive power and is made of plastic. An object side 332 of the third lens 330 is a concave surface and an image side 334 of the third lens 330 is a convex surface. Both of the object side 332 and the image side 334 of the third lens 330 are aspheric. Both of the object side 332 and the image side 334 of the third lens 330 has one inflection point.
(137) The fourth lens 340 has negative refractive power and is made of plastic. An object side 342 of the fourth lens 340 is convex a surface and an image side 344 of the fourth lens 340 is a concave surface. Both of the object side 342 and the image side 344 of the fourth lens 340 are aspheric. Both of the object side 342 and the image side 344 of the fourth lens 340 has one inflection point.
(138) The infrared filter 370 is made of glass. The infrared filter 370 is disposed between the fourth lens 340 and the image plane 380, and does not affect the focal length of the optical image capturing system 30.
(139) In the optical image capturing system 30 of the third embodiment, the first lens 310, the second lens 320 and the third lens 330 have positive refractive power. The focal lengths of the first lens 310, the second lens 320 and the third lens 330 are respectively expressed as f1, f2 and f3. The sum of the fp of all lenses with positive refractive power of the optical image capturing system 30 is PP, and the following condition is satisfied: PP=f1+f2+f3. Hereby, this configuration is helpful to distribute the positive refractive power of the single lens to other lenses with positive refractive power in an appropriate way to suppress the generation of noticeable aberrations in the propagating process of the incident light in the optical image capturing system 30.
(140) In the optical image capturing system 30 of the third embodiment, a sum of the focal lengths of all lenses with negative refractive power is NP, and the following condition is satisfied: NP=f4.
(141) Please refer to the following Table 5 and Table 6.
(142) The detailed data of the optical image capturing system 30 of the third embodiment is as shown in Table 5.
(143) TABLE-US-00007 TABLE 5 Lens Parameter for the Third Embodiment f (focal length) = 1.3310 mm; f/HEP = 2.0; HAF (half angle of view) = 37.5170 deg; tan(HAF) = 0.7678 Surface Thickness No. Curvature Radius (mm) Material 0 Object Plane Infinity 1 First Lens 0.83935305 0.175 Plastic 2 0.779262354 0.085 3 Aperture Plane 0.050 4 Second Lens 0.623234619 0.285 Plastic 5 11.00170615 0.123 6 Third Lens 0.364938387 0.175 Plastic 7 0.410676892 0.050 8 Fourth Lens 1.0692297 0.175 Plastic 9 0.820249597 0.138 10 Infrared filter Plane 0.210 BK7_SCHOTT 11 Plane 0.442 12 Image Plane Plane Surface No. Refractive Index Coefficient of Dispersion Focal Length 0 1 1.584 29.88 238.535 2 3 4 1.545 55.96 1.089 5 6 1.642 22.46 10.040 7 8 1.642 22.46 7.515 9 10 1.517 64.13 11 12 Reference Wavelength = 555 nm; Shield Position: the 1st surface with effective aperture radius = 0.370 mm; the 5th surface with effective aperture radius = 0.350 mm.
(144) TABLE-US-00008 TABLE 6 Aspheric Coefficients of the third embodiment Aspheric Coefficients Surface No. 1 2 4 5 k 1.559670E+01 3.285895E+01 3.283737E01 2.715604E+01 A4 2.960488E+00 5.065976E+00 7.176660E01 3.614461E01 A6 8.781953E+01 1.155499E+02 5.059534E+01 7.045897E+01 A8 2.168917E+03 1.873961E+02 2.209574E+03 1.490315E+03 A10 3.808808E+04 4.119672E+04 6.239210E+04 2.783463E+04 A12 4.172494E+05 9.858251E+05 9.875788E+05 2.549608E+05 A14 2.731712E+06 1.068435E+07 9.081709E+06 1.110874E+06 A16 9.752197E+06 5.730864E+07 4.401602E+07 2.625091E+06 A18 1.459442E+07 1.229646E+08 8.582584E+07 4.104192E+06 A20 1.874089E+01 0.000000E+00 0.000000E+00 0.000000E+00 Surface No. 6 7 8 9 k 1.097425E+00 1.384866E+00 9.000000E+01 1.042971E+01 A4 2.214305E+00 4.780890E+00 5.438650E+00 5.344102E+00 A6 8.731178E+01 1.414294E+02 9.066051E+01 5.295146E+01 A8 2.841182E+03 1.711255E+03 1.364068E+03 4.481013E+02 A10 5.162307E+04 9.272611E+03 1.266697E+04 2.489477E+03 A12 5.492447E+05 4.055356E+04 7.011162E+04 8.594433E+03 A14 3.054910E+06 7.073760E+05 2.041429E+05 1.680325E+04 A16 7.919499E+06 2.992540E+06 2.001005E+05 1.520673E+04 A18 6.822180E+06 4.349295E+06 1.771508E+05 2.609779E+03 A20 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00
(145) In the third embodiment, the presentation of the aspheric surface formula is similar to that in the first embodiment. Furthermore, the definitions of parameters in following tables are equal to those in the first embodiment, so the repetitious details will not be given here.
(146) The following values for the conditions can be obtained from the data in Table 5 and Table 6
(147) TABLE-US-00009 Third Embodiment (Primary Reference Wavelength = 555 nm) ETP1 ETP2 ETP3 ETP4 ED12/ED23 SED 0.162 0.193 0.186 0.197 3.763 0.351 ETP1/TP1 ETP2/TP2 ETP3/TP3 ETP4/TP4 ED23/ED34 SETP 0.926 0.679 1.062 1.126 0.272 0.738 ETL EBL EIN EIR PIR STP 2.085 0.691 1.395 0.171 0.219 0.810 EIN/ETL SETP/EIN EIR/PIR EBL/BL BL SETP/STP 0.669 0.695 0.777 0.8747 0.79 0.912 ED12 ED23 ED34 ED12/IN12 ED23/IN23 ED34/IN34 0.157 0.042 0.153 1.164 0.339 3.061 InRS41 InRS42 HVT41 HVT42 ODT % TDT % 0.06700 0.09200 0.20300 0.29700 1.30000 0.60800 |f/f1| |f/f2| |f/f3| |f/f4| |f1/f2| |f2/f3| 0.00558 1.22222 0.13257 0.17711 219.04040 0.10847 PPR/ PPR NPR |NPR| PP NP f1/PP 1.36037 0.17711 7.68084 249.66400 7.51500 0.95542 f4/NP IN12/f IN23/f IN34/f TP3/f TP4/f 0.14491 0.10143 0.09241 0.03757 0.13148 0.13148 InTL HOS HOS/HOI InS/HOS InTL/HOS TP/InTL 1.11700 1.90700 1.85506 0.86418 0.58574 0.72516 (TP1 + IN12)/ (TP4 + IN34)/ TP2 TP3 TP1/TP2 TP3/TP4 IN23/(TP2 + IN23 + TP3) 1.08772 1.28571 0.61404 1.00000 0.21098 |InRS41|/ |InRS42|/ TP4 TP4 HVT42/HOI HVT42/HOS PhiA4/InTL PhiA4/HOI 0.3829 0.5257 0.2889 0.1557 1.0743 0.5837 PhiA4 PhiB PhiC PhiD RI9 PhiA4/HEP 1.2 mm 1.6 mm 2.0 mm 2.3 mm 50% 1.8032 MTFE0 MTFE3 MTFE7 MTFQ0 MTFQ3 MTFQ7 0.9 0.86 0.8 0.76 0.65 0.54
(148) The following values for the conditional expressions can be obtained from the data in Table 5 and Table 6.
(149) TABLE-US-00010 Values Related to Inflection Point of Third Embodiment (Primary Reference Wavelength = 555 nm) HIF111 0.2660 HIF111/ 0.2588 SGI111 0.0370 |SGI111|/ 0.1745 HOI (|SGI111| + TP1) HIF121 0.1940 HIF12/ 0.1887 SGI121 0.0200 |SGI121|/ 0.1026 HOI (|SGI121| + TP1) HIF211 0.2270 HIF211/ 0.2208 SGI211 0.0380 |SGI211|/ 0.1176 HOI (|SGI211| + TP2) HIF221 0.3430 HIF221/ 0.3337 SGI221 0.0490 |SGI221|/ 0.1467 HOI (|SGI221| + TP2) HIF311 0.2590 HIF311/ 0.2519 SGI311 0.0860 |SGI311|/ 0.3295 HOI (|SGI311| + TP3) HIF321 0.2470 HIF321/ 0.2403 SGI321 0.0730 |SGI321|/ 0.2944 HOI (|SGI321| + TP3) HIF411 0.0950 HIF411/ 0.0924 SGI411 0.0030 |SGI411|/ 0.0169 HOI (|SGI411| + TP4) HIF421 0.1440 HIF421/ 0.1401 SGI421 0.0100 |SGI421|/ 0.0541 HOI (|SGI421| + TP4)
The Fourth Embodiment
(150) Please refer to
(151) The first lens 410 has positive refractive power and is made of plastic. An object side 412 of the first lens 410 is a convex surface and an image side 414 of the first lens 410 is a concave surface. Both of the object side 412 and the image side 414 of the first lens 410 are aspheric. Both of the object side 412 and the image side 414 of the first lens 410 has one inflection point.
(152) The second lens 420 has positive refractive power and is made of plastic. An object side 422 of the second lens 420 is a convex surface and an image side 424 of the second lens 420 is a convex surface. Both of the object side 422 and the image side 424 of the second lens 420 are aspheric. The object side 422 of the second lens 420 has one inflection point.
(153) The third lens 430 has negative refractive power and is made of plastic. An object side 432 of the third lens 430 is a concave surface and an image side 434 of the third lens 430 is a convex surface. Both of the object side 432 and the image side 434 of the third lens 430 are aspheric. Both of the object side 432 and the image side 434 of the third lens 430 has one inflection point.
(154) The fourth lens 440 has positive refractive power and is made of plastic. An object side 442 of the fourth lens 440 is convex a surface and an image side 444 of the fourth lens 440 is a concave surface. Both of the object side 442 and the image side 444 of the fourth lens 440 are aspheric. Both of the object side 442 and the image side 444 of the fourth lens 440 has one inflection point.
(155) The infrared filter 470 is made of glass. The infrared filter 470 is disposed between the fourth lens 440 and the image plane 480, and does not affect the focal length of the optical image capturing system 40.
(156) In the optical image capturing system 40 of the fourth embodiment, the first lens 410, the second lens 420 and the fourth lens 440 have positive refractive power. The focal lengths of the first lens 410, the second lens 420 and the fourth lens 440 are respectively expressed as f1, f2 and f4. The sum of the fp of all lenses with positive refractive power of the optical image capturing system 40 is PP, and the following condition is satisfied: PP=f1+f2+f4. Hereby, this configuration is helpful to distribute the positive refractive power of the single lens to other lenses with positive refractive power in an appropriate way to suppress the generation of noticeable aberrations in the propagating process of the incident light in the optical image capturing system 40.
(157) In the optical image capturing system 40 of the fourth embodiment, the focal length of the third lens 430 are expressed as f3, a sum of the focal lengths of all lenses with negative refractive power is NP, and the following condition is satisfied: NP=f3.
(158) Please refer to the following Table 7 and Table 8.
(159) TABLE-US-00011 TABLE 7 Lens Parameter for the Fourth Embodiment f (focal length) = 1.3290 mm; f/HEP = 2.0; HAF (half angle of view) = 37.5150 deg; tan(HAF) = 0.7677 Surface Thickness No. Curvature Radius (mm) Material 0 Object Plane Infinity 1 First Lens 0.796358327 0.175 Plastic 2 0.752894203 0.095 3 Aperture Plane 0.050 4 Second Lens 0.69002414 0.289 Plastic 5 5.470145447 0.127 6 Third Lens 0.375226684 0.175 Plastic 7 0.480949837 0.050 8 Fourth Lens 0.634776701 0.175 Plastic 9 0.628050498 0.130 10 Infrared filter Plane 0.210 BK7_SCHOTT 11 Plane 0.446 12 Image Plane Plane Surface No. Refractive Index Coefficient of Dispersion Focal Length 0 1 1.584 29.88 47.93 2 3 4 1.545 55.96 1.14 5 6 1.642 22.46 7.54 7 8 1.642 22.46 9.92 9 10 1.517 64.13 11 12 Reference Wavelength = 555 nm; Shield Position: the 1st surface with effective aperture radius = 0.390 mm; the 5th surface with effective aperture radius = 0.350 mm.
(160) TABLE-US-00012 TABLE 8 Aspheric Coefficients of the fourth embodiment Aspheric Coefficients Surface No. 1 2 4 5 k 1.559070E+01 3.277696E+01 1.338964E01 2.644155E+01 A4 3.931058E+00 6.407587E+00 7.455663E01 3.112638E01 A6 1.040453E+02 1.208225E+02 4.905075E+01 7.316173E+01 A8 2.548788E+03 4.252993E+01 2.152711E+03 1.536768E+03 A10 4.367449E+04 4.938506E+04 6.180943E+04 3.005936E+04 A12 4.647813E+05 1.098966E+06 9.823348E+05 3.189116E+05 A14 2.944070E+06 1.140707E+07 9.044375E+06 1.714189E+06 A16 1.013712E+07 5.908647E+07 4.382259E+07 4.420446E+06 A18 1.459442E+07 1.229646E+08 8.582584E+07 4.104192E+06 A20 1.874407E+01 0.000000E+00 0.000000E+00 0.000000E+00 Surface No. 6 7 8 9 k 9.444825E01 8.569895E01 2.727253E+01 1.028315E+01 A4 1.474769E+00 7.584700E+00 4.999799E+00 3.743632E+00 A6 2.913984E+01 2.026719E+02 6.751631E+01 2.859772E+01 A8 1.861605E+02 2.697091E+03 9.280684E+02 2.281186E+02 A10 1.107176E+03 1.921504E+04 7.954824E+03 1.278101E+03 A12 8.405416E+04 1.663989E+04 3.875688E+04 4.522034E+03 A14 9.804138E+05 5.393357E+05 8.940373E+04 9.165264E+03 A16 4.316120E+06 2.803448E+06 2.453740E+04 9.062636E+03 A18 6.822180E+06 4.349295E+06 1.771508E+05 2.609779E+03 A20 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00
(161) In the fourth embodiment, the presentation of the aspheric surface formula is similar to that in the first embodiment. Furthermore, the definitions of parameters in following tables are equal to those in the first embodiment, so the repetitious details will not be given here.
(162) The following values for the conditions can be obtained from the data in Table 7 and Table 8.
(163) TABLE-US-00013 Fourth Embodiment (Primary Reference Wavelength = 555 nm) ETP1 ETP2 ETP3 ETP4 ED12/ED23 SED 0.165 0.200 0.190 0.192 2.891 0.369 ETP1/TP1 ETP2/TP2 ETP3/TP3 ETP4/TP4 ED23/ED34 SETP 0.941 0.692 1.088 1.096 0.308 0.747 ETL EBL EIN EIR PIR STP 1.869 0.753 1.116 0.096 0.130 0.814 EIN/ETL SETP/EIN EIR/PIR EBL/BL BL SETP/STP 0.597 0.670 0.742 0.9568 0.787 0.918 ED12 ED23 ED34 ED12/IN12 ED23/IN23 ED34/IN34 0.149 0.052 0.168 1.028 0.408 3.356 InRS41 InRS42 HVT41 HVT42 ODT % TDT % 0.04300 0.06200 0.26100 0.34000 1.30500 0.49200 |f/f1| |f/f2| |f/f3| |f/f4| |f1/f2| |f2/f3| 0.02773 1.16477 0.17617 0.13399 42.00876 0.15125 PPR/ PPR NPR |NPR| PP NP f1/PP 1.32648 0.17617 7.52969 58.99200 7.54400 0.81252 f4/NP IN12/f IN23/f IN34/f TP3/f TP4/f 0.15125 0.10910 0.09556 0.03762 0.13168 0.13168 InTL HOS HOS/HOI InS/HOS InTL/HOS TP/InTL 1.13600 1.92300 1.87062 0.85959 0.59074 0.71655 (TP1 + IN12)/ (TP4 + IN34)/ TP2 TP3 TP1/TP2 TP3/TP4 IN23/(TP2 + IN23 + TP3) 1.10727 1.28571 0.60554 1.00000 0.21489 |InRS41|/ |InRS42|/ TP4 TP4 HVT42/HOI HVT42/HOS PhiA4/InTL PhiA4/HOI 0.2457 0.3543 0.3307 0.1768 1.1004 0.6080 PhiA4 PhiB PhiC PhiD RI9 PhiA4/HEP 1.25 mm 1.65 mm 2.05 mm 2.35 mm 50% 1.8811 MTFE0 MTFE3 MTFE7 MTFQ0 MTFQ3 MTFQ7 0.9 0.87 0.84 0.75 0.68 0.58
(164) The following values for the conditions can be obtained from the data in Table 7 and Table 8
(165) TABLE-US-00014 Values Related to Inflection Point of Fourth Embodiment (Primary Reference Wavelength = 555 nm) HIF111 0.3010 HIF111/ 0.2928 SGI111 0.0510 |SGI111|/ 0.2257 HOI (|SGI111| + TP1) HIF121 0.2200 HIF121/ 0.2140 SGI121 0.0280 |SGI121|/ 0.1379 HOI (|SGI121| + TP1) HIF211 0.2190 HIF211/ 0.2130 SGI211 0.0320 |SGI211|/ 0.0997 HOI (|SGI211| + TP2) HIF311 0.2600 HIF311/ 0.2529 SGI311 0.0870 |SGI311|/ 0.3321 HOI (|SGI311| + TP3) HIF321 0.2570 HIF321/ 0.2500 SGI321 0.0750 |SGI321|/ 0.3000 HOI (|SGI321| + TP3) HIF411 0.1210 HIF411/ 0.1177 SGI411 0.0090 |SGI411|/ 0.0489 HOI (|SGI411| + TP4) HIF421 0.1620 HIF421/ 0.1576 SGI421 0.0160 |SGI421|/ 0.0838 HOI (|SGI421| + TP4)
The Fifth Embodiment
(166) Please refer to
(167) The first lens 510 has negative refractive power and is made of plastic. An object side 512 of the first lens 510 is a convex surface and an image side 514 of the first lens 510 is a concave surface. Both of the object side 512 and the image side 514 of the first lens 510 are aspheric. The object side 512 of the first lens 510 has one inflection point.
(168) The second lens 520 has positive refractive power and is made of plastic. An object side 522 of the second lens 520 is a convex surface and an image side 524 of the second lens 520 is a convex surface. Both of the object side 522 and the image side 524 of the second lens 520 are aspheric.
(169) The third lens 530 has positive refractive power and is made of plastic. An object side 532 of the third lens 530 is a concave surface and an image side 534 of the third lens 530 is a convex surface. Both of the object side 532 and the image side 534 of the third lens 530 are aspheric. The image side 534 of the third lens 530 has one inflection point.
(170) The fourth lens 540 has negative refractive power and is made of plastic. An object side 542 of the fourth lens 540 is convex a surface and an image side 544 of the fourth lens 540 is a concave surface. Both of the object side 542 and the image side 544 of the fourth lens 540 are aspheric. Both of the object side 542 and the image side 544 of the fourth lens 540 has one inflection point.
(171) The infrared filter 570 is made of glass. The infrared filter 570 is disposed between the fourth lens 540 and the image plane 580, and does not affect the focal length of the optical image capturing system 50.
(172) In the optical image capturing system 50 of the fifth embodiment, the second lens 520 and the third lens 530 have positive refractive power. The focal lengths of the second lens 520 and the third lens 530 are respectively expressed as f2 and f3. The sum of the fp of all lenses with positive refractive power of the optical image capturing system 50 is PP, and the following condition is satisfied: PP=f2+f3. Hereby, this configuration is helpful to distribute the positive refractive power of the single lens to other lenses with positive refractive power in an appropriate way to suppress the generation of noticeable aberrations in the propagating process of the incident light in the optical image capturing system 50.
(173) In the optical image capturing system 50 of the fifth embodiment, a sum of the focal lengths of all lenses with negative refractive power is NP, and the following condition is satisfied: NP=f1+f4.
(174) Please refer to the following Table 9 and Table 10.
(175) TABLE-US-00015 TABLE 9 Lens Parameter for the Fifth Embodiment F (focal length) = 1.038 mm; f/HEP = 2.0; HAF (half angle of view) = 40.2351 deg; tan(HAF) = 0.8461 Surface Thickness No. Curvature Radius (mm) Material 0 Object 1E+18 600 1 First Lens 1.318838134 0.151 Plastic 2 1.199785426 0.080 3 Aperture 1E+18 0.033 4 Second Lens 0.888008072 0.266 Plastic 5 0.836283021 0.021 6 1E+18 0.195 7 Third Lens 0.230724801 0.179 Plastic 8 0.252833943 0.023 9 Fourth Lens 0.961626482 0.161 Plastic 10 0.584762783 0.141 11 Infrared filter 1E+18 0.145 BK7_SCHOTT 12 1E+18 0.336 13 1E+18 0.000 14 Image Plane 1E+18 0.000 Surface No. Refractive Index Coefficient of Dispersion Focal Length 0 1 1.661 20.364 40.448 2 3 4 1.545 55.961 0.834 5 6 7 1.545 55.961 2.594 8 9 1.661 20.364 2.697 10 11 1.517 64.13 12 13 14 Reference Wavelength = 555 nm; Shield Position: the 6th surface with effective aperture radius = 0.261 mm; the 10th surface with effective aperture radius = 0.510 mm.
(176) TABLE-US-00016 TABLE 10 Aspheric Coefficients of the fifth embodiment Aspheric Coefficients Surface No. 1 2 4 5 k 1.931550E+01 5.944256E01 2.899251E+00 1.652042E01 A4 4.751055E02 1.985239E01 2.378219E+00 4.531571E+00 A6 7.369787E01 1.141525E+00 3.409528E+02 4.125321E+02 A8 1.464233E+01 1.320343E+02 2.653552E+04 3.976522E+04 A10 3.898305E+01 1.845076E+03 1.305270E+06 2.168067E+06 A12 1.163348E+03 1.337007E+04 4.201857E+07 7.185274E+07 A14 2.325617E+04 4.098113E+04 8.838875E+08 1.461296E+09 A16 1.646115E+05 4.413052E+06 1.172744E+10 1.772179E+10 A18 0.000000E+00 0.000000E+00 8.871474E+10 1.171847E+11 A20 0.000000E+00 0.000000E+00 2.903080E+11 3.238002E+11 Surface No. 7 8 9 10 k 2.129767E+00 3.535712E+00 2.991367E+02 1.652397E+00 A4 9.144793E+00 3.994793E+01 3.470143E+00 1.319941E+01 A6 1.078446E+03 1.892532E+03 1.603843E+02 1.852286E+02 A8 9.151087E+04 6.900259E+04 6.615281E+03 2.230679E+03 A10 4.008615E+06 1.677337E+06 1.514333E+05 1.958918E+04 A12 1.079904E+08 2.670001E+07 2.187693E+06 1.240236E+05 A14 1.835847E+09 2.744293E+08 2.010551E+07 5.484178E+05 A16 1.919580E+10 1.747522E+09 1.140136E+08 1.594466E+06 A18 1.123167E+11 6.253395E+09 3.628560E+08 2.709933E+06 A20 2.802708E+11 9.593353E+09 4.954465E+08 2.019570E+06
(177) In the fifth embodiment, the presentation of the aspheric surface formula is similar to that in the first embodiment. Furthermore, the definitions of parameters in following tables are equal to those in the first embodiment, so the repetitious details will not be given here.
(178) The following values for the conditional expressions can be obtained from the data in Table 9 and Table 10:
(179) TABLE-US-00017 Fifth Embodiment (Primary Reference Wavelength = 555 nm) ETP1 ETP2 ETP3 ETP4 ED12/ED23 SED 0.164 0.169 0.198 0.183 0.795 0.290 ETP1/TP1 ETP2/TP2 ETP3/TP3 ETP4/TP4 ED23/ED34 SETP 1.085 0.637 1.107 1.140 0.443 0.714 ETL EBL EIN EIR PIR STP 1.601 0.597 1.004 0.116 0.141 0.756 EIN/ETL SETP/EIN EIR/PIR EBL/BL BL SETP/STP 0.627 0.711 0.822 0.9603 0.6217 0.945 ED12 ED23 ED34 ED12/IN12 ED23/IN23 ED34/IN34 0.057 0.072 0.161 1.187 0.412 7.032 InRS41 InRS42 HVT41 HVT42 ODT % TDT % 0.05607 0.05495 0.19248 0.29032 4.66088 1.96699 |f/f1| |f/f2| |f/f3| |f/f4| |f1/f2| |f2/f3| 0.02566 1.24493 0.40010 0.38484 48.51187 0.32138 PPR/ PPR NPR |NPR| PP NP f1/PP 1.67069 0.38484 4.34120 37.01941 2.69714 1.09260 f4/NP IN12/f IN23/f IN34/f TP3/f TP4/f 1.00000 0.04615 0.16743 0.02211 0.17254 0.15490 InTL HOS HOS/HOI InS/HOS InTL/HOS TP/InTL 1.00103 1.62276 1.74490 0.85739 0.61687 0.75561 (TP1 + IN12)/ (TP4 + IN34)/ TP2 TP3 TP1/TP2 TP3/TP4 IN23/(TP2 + IN23 + TP3) 0.74891 1.02590 0.56852 1.11389 0.28102 |InRS41|/ |InRS42|/ TP4 TP4 HVT42/HOI HVT42/HOS PhiA4/InTL PhiA4/HOI 0.3488 0.3418 0.3122 0.1789 1.0189 1.0968 PhiA4 PhiB PhiC PhiD RI9 PhiA4/HEP 1.02 mm 1.4026 mm 1.4026 mm 1.8 mm 55% 0.5197 MTFE0 MTFE3 MTFE7 MTFQ0 MTFQ3 MTFQ7 0.89 0.88 0.87 0.75 0.73 0.7
(180) The following values for the conditional expressions can be obtained from the data in Table 9 and Table 10:
(181) TABLE-US-00018 Values Related to Inflection Point of Fifth Embodiment (Primary Reference Wavelength = 555 nm) HIF111 0.3482 HIF111/ 0.3744 SGI111 0.0368 |SGI111|/ 0.1960 HOI (|SGI111| + TP1) HIF321 0.2908 HIF321/ 0.3126 SGI321 0.1685 |SGI321|/ 0.4848 HOI (|SGI321| + TP3) HIF411 0.0872 HIF411/ 0.0937 SGI411 0.0026 |SGI411|/ 0.0160 HOI (|SGI411| + TP4) HIF421 0.1344 HIF421/ 0.1445 SGI421 0.0119 |SGI421|/ 0.0689 HOI (|SGI421| + TP4)
(182) The numerical data related to the length of the outline curve is shown according to table 9 and table 10
(183) TABLE-US-00019 Fifth Embodiment (Primary Reference Wavelength = 555 nm) ARE (HEP) ARE value ARE (HEP) 2(ARE/HEP) % TP ARE/TP(%) 11 0.260 0.260 0.00028 100.11% 0.151 172.33% 12 0.260 0.263 0.00278 101.07% 0.151 173.99% 21 0.260 0.264 0.00438 101.68% 0.266 99.52% 22 0.260 0.267 0.00685 102.64% 0.266 100.45% 31 0.260 0.312 0.05237 120.15% 0.179 174.35% 32 0.260 0.300 0.04057 115.61% 0.179 167.77% 41 0.260 0.259 0.00067 99.74% 0.161 161.22% 42 0.260 0.260 0.00049 100.19% 0.161 161.94% ARS EHD ARS value ARS EHD (ARS/EHD) % TP ARS/TP(%) 11 0.357 0.360 0.002 100.61% 0.151 238.18% 12 0.275 0.280 0.005 101.83% 0.151 185.36% 21 0.264 0.270 0.006 102.18% 0.266 101.62% 22 0.267 0.274 0.008 102.85% 0.266 103.35% 31 0.269 0.326 0.057 121.22% 0.179 181.76% 32 0.335 0.407 0.072 121.54% 0.179 227.25% 41 0.389 0.410 0.021 105.32% 0.161 255.08% 42 0.510 0.532 0.022 104.39% 0.161 331.12%
The Sixth Embodiment
(184) Please refer to
(185) The first lens 610 has negative refractive power and is made of plastic. An object side 612 of the first lens 610 is a convex surface and an image side 614 of the first lens 610 is a concave surface. Both of the object side 612 and the image side 614 of the first lens 610 are aspheric.
(186) The second lens 620 has positive refractive power and is made of plastic. An object side 622 of the second lens 620 is a convex surface and an image side 624 of the second lens 620 is a convex surface. Both of the object side 622 and the image side 624 of the second lens 620 are aspheric. The image side 624 of the second lens 620 has one inflection point.
(187) The third lens 630 has positive refractive power and is made of plastic. An object side 632 of the third lens 630 is a concave surface and an image side 634 of the third lens 630 is a convex surface. Both of the object side 632 and the image side 634 of the third lens 630 are aspheric. Both of the object side 632 and the image side 634 of the third lens 630 has one inflection point.
(188) The fourth lens 640 has negative refractive power and is made of plastic. An object side 642 of the fourth lens 640 is convex a surface and an image side 644 of the fourth lens 640 is a concave surface. Both of the object side 642 and the image side 644 of the fourth lens 640 are aspheric. Both of the object side 642 and the image side 644 of the fourth lens 640 has one inflection point.
(189) The infrared filter 670 is made of glass. The infrared filter 670 is disposed between the fourth lens 640 and the image plane 680, and does not affect the focal length of the optical image capturing system 60.
(190) In the optical image capturing system 60 of the sixth embodiment, the second lens 620 and the third lens 630 have positive refractive power. The focal lengths of the second lens 620 and the third lens 630 are respectively expressed as f2 and f3. The sum of the fp of all lenses with positive refractive power of the optical image capturing system 60 is PP, and the following condition is satisfied: PP=f2+f3. Hereby, this configuration is helpful to distribute the positive refractive power of the single lens to other lenses with positive refractive power in an appropriate way to suppress the generation of noticeable aberrations in the propagating process of the incident light in the optical image capturing system 60.
(191) In the optical image capturing system 60 of the sixth embodiment, a sum of the focal lengths of all lenses with negative refractive power is NP, and the following condition is satisfied: NP=f1+f4.
(192) Please refer to the following Table 11 and Table 12.
(193) TABLE-US-00020 TABLE 11 Lens Parameter for the Sixth Embodiment f (focal length) = 0.9946 mm; f/HEP = 2.0; HAF (half angel of view) = 41.2533 deg; tan(HAF) = 0.8771 Surface Thickness No. Curvature Radius (mm) Material 0 Object 1E+18 600 1 First Lens 7.46846478 0.151 Plastic 2 4.317793429 0.088 3 Aperture 1E+18 0.028 4 Second Lens 0.935843227 0.239 Plastic 5 0.933344075 0.010 6 1E+18 0.157 7 Third Lens 0.322918565 0.227 Plastic 8 0.210895065 0.023 9 Fourth Lens 4.506707493 0.150 Plastic 10 0.414840736 0.090 11 Infrared filter 1E+18 0.145 BK7_SCHOTT 12 1E+18 0.388 13 1E+18 0.000 14 Image Plane 1E+18 0.000 Surface No. Refractive Index Coefficient of Dispersion Focal Length 0 1 1.661 20.364 15.642 2 3 4 1.545 55.961 0.896 5 6 7 1.545 55.961 0.648 8 9 1.661 20.364 0.695 10 11 1.517 64.13 12 13 14 Reference Wavelength = 555 nm; Shield Position: the 6th surface with effective aperture radius = 0.265 mm.
(194) TABLE-US-00021 TABLE 12 Aspheric Coefficients of the fifth embodiment Aspheric Coefficients Surface No. 1 2 4 5 k 2.572381E+02 2.223058E+02 1.904462E+00 2.099831E+00 A4 4.569267E01 1.680923E+00 1.808880E+00 2.384445E+00 A6 1.346296E+00 9.798959E+00 1.079205E+02 2.286660E+01 A8 2.121674E+01 2.674219E+01 5.449604E+03 5.307268E+03 A10 6.617868E+01 4.885509E+02 1.968503E+05 2.435205E+05 A12 6.722692E+02 5.965613E+03 4.181697E+06 4.972932E+06 A14 1.036815E+04 1.437029E+05 4.660329E+07 4.795142E+07 A16 6.804141E+04 8.308662E+05 2.112434E+08 1.745943E+08 A18 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 Surface No. 7 8 9 10 k 1.545752E+00 4.669869E+00 3.643159E+01 1.345056E+01 A4 5.986753E+00 2.322068E+01 4.368014E+00 4.463185E+00 A6 5.532782E+01 4.773595E+02 1.821189E+01 3.295984E+01 A8 7.180106E+03 7.713606E+03 2.098946E+02 2.343704E+02 A10 3.046991E+05 8.493639E+04 7.784101E+02 1.007289E+03 A12 6.619474E+06 5.844502E+05 1.003698E+02 2.254853E+03 A14 6.258719E+07 2.371643E+06 3.542943E+03 1.303148E+03 A16 1.680202E+07 4.384066E+06 4.678203E+04 4.409045E+02 A18 3.817877E+09 1.181835E+06 1.299365E+06 1.202425E+04 A20 1.909590E+10 1.795783E+06 7.031548E+06 2.133442E+04
(195) In the sixth embodiment, the presentation of the aspheric surface formula is similar to that in the first embodiment. Furthermore, the definitions of parameters in following tables are equal to those in the first embodiment, so the repetitious details will not be given here.
(196) The following values for the conditional expressions can be obtained from the data in Table 11 and Table 12:
(197) TABLE-US-00022 Sixth Embodiment (Primary Reference Wavelength = 555 nm) ETP1 ETP2 ETP3 ETP4 ED12/ED23 SED 0.163 0.160 0.209 0.190 0.739 0.322 ETP1/TP1 ETP2/TP2 ETP3/TP3 ETP4/TP4 ED23/ED34 SETP 1.079 0.668 0.919 1.271 0.774 0.721 ETL EBL EIN EIR PIR STP 1.633 0.589 1.043 0.057 0.090 0.767 EIN/ETL SETP/EIN EIR/PIR EBL/BL BL SETP/STP 0.639 0.691 0.635 0.9466 0.6222 0.941 ED12 ED23 ED34 ED12/IN12 ED23/IN23 ED34/IN34 0.078 0.106 0.137 1.294 0.638 5.978 InRS41 InRS42 HVT41 HVT42 ODT % TDT % 0.08490 0.03269 0.11758 0.30304 4.94835 2.97889 |f/f1| |f/f2| |f/f3| |f/f4| |f1/f2| |f2/f3| 0.06358 1.11017 1.53450 1.43093 17.45990 1.38222 PPR/ PPR NPR |NPR| PP NP f1/PP 2.70825 1.43093 1.89264 14.09806 0.69506 1.10952 f4/NP IN12/f IN23/f IN34/f TP3/f TP4/f 1.00000 0.06098 0.16739 0.02309 0.22858 0.15043 InTL HOS HOS/HOI InS/HOS InTL/HOS TP/InTL 1.01692 1.63914 1.76252 0.85399 0.62040 0.75407 (TP1 + IN12)/ (TP4 + IN34)/ TP2 TP3 TP1/TP2 TP3 TP4 IN23/(TP2 + IN23 + TP3) 0.88517 0.75909 0.63138 1.51957 0.26308 |InRS41|/ |InRS42|/ TP4 TP4 HVT42/HOI HVT42/HOS PhiA4/InTL PhiA4/HOI 0.5675 0.2185 0.3258 0.1849 1.0129 1.1075 PhiA4 PhiB PhiC PhiD RI9 PhiA4/HEP 1.030 mm 1.4026 mm 1.4026 mm 1.8 mm 50% 2.0712 MTFE0 MTFE3 MTFE7 MTFQ0 MTFQ3 MTFQ7 0.9 0.89 0.88 0.78 0.74 0.7
(198) The following values for the conditional expressions can be obtained from the data in Table 11 and Table 12:
(199) TABLE-US-00023 Values Related to Inflection Point of Sixth Embodiment (Primary Reference Wavelength = 555 nm) HIF221 0.2508 HIF221/ 0.2696 SGI221 0.0441 |SGI221|/ 0.1557 HOI (|SGI221 + TP2) HIF311 0.2356 HIF311/ 0.2533 SGI311 0.0934 |SGI311|/ 0.2913 HOI (|SGI311| + TP3) HIF321 0.2839 HIF321/ 0.3053 SGI321 0.1545 |SGI321|/ 0.4046 HOI (|SGI321| + TP3) HIF411 0.0669 HIF411/ 0.0719 SGI411 0.0004 |SGI411|/ 0.0027 HOI (|SGI411| + TP4) HIF421 0.1329 HIF421/ 0.1429 SGI421 0.0157 |SGI421|/ 0.0952 HOI (|SGI421| + TP4)
(200) The numerical data related to the length of the outline curve is shown according to table 11 and table 12.
(201) TABLE-US-00024 Sixth Embodiment (Primary Reference Wavelength = 555 nm) ARE (HEP) ARE value ARE (HEP) 2(ARE/HEP) % TP ARE/TP(%) 11 0.249 0.249 0.00011 100.05% 0.151 165.11% 12 0.249 0.250 0.00126 100.51% 0.151 165.87% 21 0.249 0.252 0.00349 101.40% 0.239 105.66% 22 0.249 0.254 0.00542 102.18% 0.239 106.47% 31 0.249 0.276 0.02654 110.66% 0.227 121.20% 32 0.249 0.283 0.03437 113.80% 0.227 124.65% 41 0.249 0.249 0.00044 100.18% 0.150 166.73% 42 0.249 0.251 0.00239 100.96% 0.150 168.03% ARS EHD ARS value ARS EHD (ARS/EHD) % TP ARS/TP(%) 11 0.376 0.377 0.001 100.25% 0.151 250.12% 12 0.284 0.287 0.003 101.19% 0.151 190.21% 21 0.258 0.261 0.003 101.28% 0.239 109.19% 22 0.269 0.276 0.007 102.53% 0.239 115.45% 31 0.276 0.308 0.032 111.50% 0.227 135.60% 32 0.339 0.404 0.065 119.09% 0.227 177.65% 41 0.382 0.407 0.025 106.58% 0.150 272.33% 42 0.515 0.531 0.017 103.21% 0.150 355.13%
(202) Although the present invention is disclosed via the aforementioned embodiments, those embodiments do not serve to limit the scope of the present invention. A person skilled in the art may perform various alterations and modifications to the present invention without departing from the spirit and the scope of the present invention. Hence, the scope of the present invention should be defined by the following appended claims.
(203) Despite the fact that the present invention is specifically presented and illustrated with reference to the exemplary embodiments thereof, it should be obvious to a person skilled in the art that, various modifications to the forms and details of the present invention may be performed without departing from the scope and spirit of the present invention defined by the following claims and equivalents thereof.