Optical image capturing module including six lenses of −+−++−, +++−+−, +−−++− or −−+−+− refractive powers

11467379 · 2022-10-11

Assignee

Inventors

Cpc classification

International classification

Abstract

A six-piece optical image capturing system is disclosed. In order from an object side to an image side, the optical lens along the optical axis includes a first lens with refractive power; a second lens with refractive power; a third lens with refractive power; a fourth lens with refractive power; a fifth lens with refractive power, and a sixth lens with refractive power. At least one of the image-side surface and object-side surface of each of the six lens elements is aspheric. The optical lens of the optical image capturing system can increase aperture value and improve the imagining quality for use in compact cameras.

Claims

1. An optical image capturing system, from an object side to an image side, comprising: a first lens with refractive power; a second lens with refractive power; a third lens with refractive power; a fourth lens with refractive power; a fifth lens with refractive power; a sixth lens with refractive power; and an image plane for infrared light; wherein the optical image capturing system consists of the six lenses with refractive power, at least one lens among the first lens to the sixth lens has positive refractive power, focal lengths of the first lens through the sixth lens are f1, f2, f3, f4, f5 and f6, respectively, and a focal length of the optical image capturing system is f, an entrance pupil diameter of the optical image capturing system is denoted by HEP, an exit pupil diameter of image side of the sixth lens is denoted by HXP, a half maximum angle of view of the optical image capturing system is denoted by HAF, with a point on any surface of any one of the six lenses which crosses the optical axis defined as a starting point, a length of an outline curve from the starting point to a coordinate point of vertical height with a distance from the optical axis to ½ HXP on the surface along an outline of the surface is denoted by ARE, and the following conditions are satisfied:
0.5≤f/HEP≤1.8; 0 deg<HAF≤50 deg; and 0.9≤2(ARE/HXP)≤2.0.

2. The optical image capturing system according to claim 1, wherein a wavelength of the infrared light ranges from 700 nm to 1300 nm, and a first spatial frequency is denoted by SP1, and the following condition is satisfied:
SP1≤440 cycles/mm.

3. The optical image capturing system according to claim 1, wherein a wavelength of the infrared light ranges from 850 nm to 960 nm, and a first spatial frequency is denoted by SP1, and the following condition is satisfied:
SP1≤220 cycles/mm.

4. The optical image capturing system according to claim 1, wherein TV distortion for image formation in the optical image capturing system is denoted by TDT, a maximum height for image formation on the image plane perpendicular to an optical axis in the optical image capturing system is HOI, a lateral aberration of the longest operation wavelength of visible light of a positive tangential fan of the optical image capturing system passing through the margin of the entrance pupil and incident on the first image plane by 0.7 HOI is denoted by PLTA, a lateral aberration of the shortest operation wavelength of visible light of the positive tangential fan of the optical image capturing system passing through the margin of the entrance pupil and incident on the first image plane by 0.7 HOI is denoted by PSTA, a lateral aberration of the longest operation wavelength of visible light of a negative tangential fan of the optical image capturing system passing through the margin of the entrance pupil and incident on the first image plane by 0.7 HOI is denoted by NLTA, a lateral aberration of the shortest operation wavelength of visible light of a negative tangential fan of the optical image capturing system passing through the margin of the entrance pupil and incident on the first image plane by 0.7 HOI is denoted by NSTA, a lateral aberration of the longest operation wavelength of visible light of a sagittal fan of the optical image capturing system passing through the margin of the entrance pupil and incident on the first image plane by 0.7 HOI is denoted by SLTA, a lateral aberration of the shortest operation wavelength of visible light of the sagittal fan of the optical image capturing system passing through the margin of the entrance pupil and incident on the first image plane by 0.7 HOI is denoted by SSTA, and the following conditions are satisfied: the longest operation wavelength=960 nm; the shortest operation wavelength=850 nm; PLTA≤100 micrometers; PSTA≤100 micrometers; NLTA≤100 micrometers; NSTA≤100 micrometers; SLTA≤100 micrometers; and SSTA≤100 micrometers; |TDT|<100%.

5. The optical image capturing system according to claim 1, wherein an effective maximum radius of any surface of any one lens among the six lenses is denoted by EHD, and with a point on the any surface of any one lens of the six lenses which crosses the optical axis defined as a first starting point, the maximum effective half diameter position of the surface along the outline of the surface defined as a first final point, a length of outline curve from the first starting point to the first final point is denoted by ARS, and the following condition is satisfied:
0.9≤ARS/EHD≤2.0.

6. The optical image capturing system according to claim 1, wherein a distance between the first lens and the second lens on the optical axis is denoted by IN12, a distance between the third lens and the fourth lens on the optical axis is denoted by IN34, and the following condition is satisfied:
IN12>IN34.

7. The optical image capturing system according to claim 1, wherein a distance between the fourth lens and the fifth lens on the optical axis is denoted by IN45, a distance between the fifth lens and the sixth lens on the optical axis is denoted by IN56, and the following condition is satisfied:
IN56>IN45.

8. The optical image capturing system according to claim 1, wherein a distance between the third lens and the fourth lens on the optical axis is denoted by IN34, a distance between the fourth lens and the fifth lens on the optical axis is denoted by IN45, and the following condition is satisfied:
IN45>IN34.

9. The optical image capturing system according to claim 1, wherein a distance from the aperture to the image plane on the optical axis is denoted by InS, a distance on an optical axis from an object side of the first lens to the image plane is denoted by HOS and the following condition is satisfied:
0.2≤InS/HOS≤1.1.

10. An optical image capturing system, from an object side to an image side, comprising: a first lens with refractive power; a second lens with refractive power; a third lens with refractive power; a fourth lens with refractive power; a fifth lens with refractive power; a sixth lens with refractive power; and an image plane for infrared light; wherein the optical image capturing system consists of the six lenses with refractive power, at least one surface of at least one of the six lenses has at least one inflection point, at least one lens among the first lens to the sixth lens has positive refractive power, focal lengths of the first lens through the sixth lens are f1, f2, f3, f4, f5 and f6, respectively, and a focal length of the optical image capturing system is f, the entrance pupil diameter of the optical image capturing system is denoted by HEP, the exit pupil diameter of image side of the sixth lens is denoted by HXP, a half maximum angle of view of the optical image capturing system is denoted by HAF, with a point on any surface of any one of the six lenses which crosses the optical axis defined as a starting point, a length of an outline curve from the starting point to a coordinate point of vertical height with a distance from the optical axis to ½ HXP on the surface along an outline of the surface is denoted by ARE, and the following conditions are satisfied:
0.5≤f/HEP≤1.5; 0 deg<HAF≤50 deg; and 0.9≤2(ARE/HXP)≤2.0.

11. The optical image capturing system according to claim 10, wherein an effective maximum radius of any surface of any one lens among the six lenses is denoted by EHD, and with a point on the any surface of any one lens of the six lenses which crosses the optical axis defined as a first starting point, the maximum effective half diameter position of the surface along the outline of the surface defined as a first final point, a length of outline curve from the first starting point to the first final point is denoted by ARS, and the following condition is satisfied:
0.9≤ARS/EHD≤2.0.

12. The optical image capturing system according to claim 10, wherein a maximum height for image formation on the image plane perpendicular to the optical axis in the optical image capturing system is HOI, a distance on the optical axis from an object side of the first lens to the image plane is denoted by HOS and the following condition is satisfied:
0.5≤HOS/HOI≤6.

13. The optical image capturing system according to claim 10, further comprising an aperture stop, wherein the aperture stop is in front of an image side of the third lens.

14. The optical image capturing system according to claim 10, wherein an image-side surface of the second lens on the optical axis is a convex surface.

15. The optical image capturing system according to claim 10, wherein an object-side surface of the fifth lens on the optical axis is a convex surface.

16. The optical image capturing system according to claim 10, wherein an object-side surface of the fourth lens on the optical axis is a convex surface, and an image-side surface of the fourth lens on the optical axis is a convex surface.

17. The optical image capturing system according to claim 10, wherein an image-side surface of the fourth lens on the optical axis is a convex surface.

18. The optical image capturing system according to claim 10, wherein the following condition is satisfied:
0.5≤f/HEP≤1.4.

19. The optical image capturing system according to claim 10, wherein each of the first lens to the sixth lens is made of plastic.

20. An optical image capturing system, from an object side to an image side, comprising: a first lens with refractive power; a second lens with refractive power; a third lens with refractive power; a fourth lens with refractive power; a fifth lens with refractive power; a sixth lens with refractive power; and an image plane for infrared light; wherein the optical image capturing system consists of the six lenses with refractive power, at least one surface of each of at least two of the six lenses has at least one inflection point, at least one lens among the first lens to the sixth lens has positive refractive power, focal lengths of the first lens through the sixth lens are f1, f2, f3, f4, f5 and f6, respectively, and a focal length of the optical image capturing system is f, the entrance pupil diameter of the optical image capturing system is denoted by HEP, the exit pupil diameter of image side of the sixth lens is denoted by HXP, a half maximum angle of view of the optical image capturing system is denoted by HAF, with a point on any surface of any one of the six lenses which crosses the optical axis defined as a starting point, a length of an outline curve from the starting point to a coordinate point of vertical height with a distance from the optical axis to ½ HXP on the surface along an outline of the surface is denoted by ARE, and the following conditions are satisfied:
0.5≤f/HEP≤1.3; 0 deg<HAF≤45 deg; and 0.9≤2(ARE/HXP)≤2.0.

21. The optical image capturing system according to claim 20, wherein a distance on an optical axis from an object side of the first lens to the image plane is denoted by HOS and the following condition is satisfied:
0 mm<HOS≤20 mm.

22. The optical image capturing system according to claim 20, wherein a wavelength of the infrared light ranges from 850 nm to 960 nm, and a first spatial frequency is denoted by SP1, and the following condition is satisfied:
SP1≤220 cycles/mm.

23. The optical image capturing system according to claim 20, wherein each of the first lens to the sixth lens is made of plastic.

24. The optical image capturing system according to claim 20, wherein a distance between the first lens and the second lens on the optical axis is denoted by IN12, a distance between the third lens and the fourth lens on the optical axis is denoted by IN34, a distance between the fourth lens and the fifth lens on the optical axis is denoted by IN45, a distance between the fifth lens and the sixth lens on the optical axis is denoted by IN56, and the following conditions are satisfied:
IN12>IN34; IN45>IN34; and IN56>IN34.

25. The optical image capturing system according to claim 20, further comprising an aperture and an image sensor, wherein the image sensing device is disposed on the image plane and comprises at least 100 thousand pixels, a distance on the optical axis from the aperture stop to the image plane is denoted by InS, a distance on the optical axis from an object side of the first lens to the image plane is denoted by HOS, and the following condition is satisfied:
0.2≤InS/HOS≤1.1.

Description

BRIEF DESCRIPTION OF THE DRAWINGS

(1) The detailed structure, operating principle and effects of the present invention will now be described in more details hereinafter with reference to the accompanying drawings that show various embodiments of the present invention as follows.

(2) FIG. 1A is a schematic view of a conventional optical image capturing system.

(3) FIG. 1B is a curve diagram illustrating the spherical aberration, astigmatism and optical distortion of the conventional optical image capturing system in order from left to right.

(4) FIG. 1C shows the sagittal fan and the tangential fan of the conventional optical image capturing system and the lateral aberration diagram of the longest operation wavelength and the shortest operation wavelength passing thorough the margin of the aperture at 0.7 field of view.

(5) FIG. 2A is a schematic view of the optical image capturing system according to the second embodiment of the present invention.

(6) FIG. 2B is a curve diagram illustrating the spherical aberration, astigmatism and optical distortion of the optical image capturing system in order from left to right according to the second embodiment of the present invention.

(7) FIG. 2C shows the sagittal fan and the tangential fan of the optical image capturing system and the lateral aberration diagram of the longest operation wavelength and the shortest operation wavelength passing thorough the margin of the aperture at 0.7 field of view according to the second embodiment of the present invention.

(8) FIG. 3A is a schematic view of the optical image capturing system according to the third embodiment of the present invention.

(9) FIG. 3B is a curve diagram illustrating the spherical aberration, astigmatism and optical distortion of the optical image capturing system in order from left to right according to the third embodiment of the present invention.

(10) FIG. 3C shows the sagittal fan and the tangential fan of the optical image capturing system and the lateral aberration diagram of the longest operation wavelength and the shortest operation wavelength passing thorough the margin of the aperture at 0.7 field of view according to the third embodiment of the present invention.

(11) FIG. 4A is a schematic view of the optical image capturing system according to the fourth embodiment of the present invention.

(12) FIG. 4B is a curve diagram illustrating the spherical aberration, astigmatism and optical distortion of the optical image capturing system in order from left to right according to the fourth embodiment of the present invention.

(13) FIG. 4C shows the sagittal fan and the tangential fan of the optical image capturing system and the lateral aberration diagram of the longest operation wavelength and the shortest operation wavelength passing thorough the margin of the aperture at 0.7 field of view according to the fourth embodiment of the present invention.

(14) FIG. 5A is a schematic view of the optical image capturing system according to the fifth embodiment of the present invention.

(15) FIG. 5B is a curve diagram illustrating the spherical aberration, astigmatism and optical distortion of the optical image capturing system in order from left to right according to the fifth embodiment of the present invention.

(16) FIG. 5C shows the sagittal fan and the tangential fan of the optical image capturing system and the lateral aberration diagram of the longest operation wavelength and the shortest operation wavelength passing thorough the margin of the aperture at 0.7 field of view according to the fifth embodiment of the present invention.

(17) FIG. 6A is a schematic view of the optical image capturing system according to the sixth embodiment of the present invention.

(18) FIG. 6B is a curve diagram illustrating the spherical aberration, astigmatism and optical distortion of the optical image capturing system in order from left to right according to the sixth embodiment of the present invention.

(19) FIG. 6C shows the sagittal fan and the tangential fan of the optical image capturing system and the lateral aberration diagram of the longest operation wavelength and the shortest operation wavelength passing thorough the margin of the aperture at 0.7 field of view according to the sixth embodiment of the present invention.

DESCRIPTION OF THE PREFERRED EMBODIMENTS

(20) The advantages, features, and technical methods of the present invention are to be explained in detail with reference to the exemplary embodiments and the figures for the purpose of being more easily to be understood. Moreover, the present invention may be realized in different forms, and should not be construed as being limited to the embodiments set forth herein. Conversely, for a person skilled in the art, the embodiments provided shall make the present invention convey the scope more thoroughly, comprehensively, and completely. In addition, the present invention shall be defined only by the appended claims.

(21) 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, a fifth lens, a sixth lens, and an image plane. The optical image capturing system may further include an image sensing device, which is disposed on the image plane.

(22) The optical image capturing system may use three sets of infrared light wavelengths which are respectively 850 nm, 940 nm and 960 nm, wherein 960 nm is served as the primary reference wavelength and a reference wavelength for retrieving technical features.

(23) The optical image capturing system may use three sets of visible light wavelengths which are respectively 486.1 nm, 587.5 nm and 656.2 nm, wherein 587.5 nm is served as the primary reference wavelength and a reference wavelength for retrieving technical features. The optical image capturing system may also use five sets of wavelengths which are respectively 470 nm, 510 nm, 555 nm, 610 nm and 650 nm, wherein 555 nm is served as the primary reference wavelength and a reference wavelength for retrieving technical features.

(24) The ratio of the focal length f of the optical image capturing system to a focal length fp of each of lenses with positive refractive power is denoted by PPR. The ratio of the focal length f of the optical image capturing system to a focal length fn of each of lenses with negative refractive power is denoted by NPR. The sum of the PPR of all lenses with positive refractive power is ΣPPR. The sum of the NPR of all lenses with negative refractive power is ΣNPR. The control of the total refractive power and the total length of the optical image capturing system is favorable when following conditions are satisfied: 0.5≤ΣPPR/|ΣNPR|≤15. Preferably, the following relationship is satisfied: 1≤ΣPPR/|ΣNPR|≤3.0.

(25) The optical image capturing system may further include an image sensing device which is disposed on an image plane. A half of a diagonal of an effective detection field of the image sensing device (imaging height or the maximum image height of the optical image capturing system) is HOI. The distance on the optical axis from the object side of the first lens to the image plane is HOS. The following relationships are satisfied: HOS/HOI≤50 and 0.5≤HOS/f≤150. Preferably, the following relationships is satisfied: 1≤HOS/HOI≤40 and 1≤HOS/f≤140. Hereby, the miniaturization of the optical image capturing system can be maintained effectively, so as to be carried by lightweight portable electronic devices.

(26) 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 image quality.

(27) Specifically, the disposition of the aperture may be a front aperture or a middle aperture in the optical image capturing module in the present invention. The front aperture is the aperture disposed between the shot object and the first lens. The middle aperture is the aperture disposed between the first lens and the image plane. If the aperture is the front aperture, a longer distance may be created between the exit pupil and the image plane in the optical image capturing module, so that more optical elements may be accommodated and the efficiency of image sensor elements receiving images may be increased. If the aperture is the middle aperture, the field of view of the system may be expended in such a way that the optical image capturing module has the advantages of a wide-angle lens. InS is defined as the distance from the aforementioned aperture to the image plane, which satisfies the following condition: 0.1≤InS/HOS≤1.1. Therefore, the features of the optical image capturing module maintained in miniaturization and having wide-angle may be attended simultaneously.

(28) 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 sixth lens is InTL. A total central thickness of all lenses with refractive power on the optical axis is ΣTP. The following relationship is satisfied: 0.1≤ΣTP/InTL≤0.9. Hereby, the contrast ratio for the image formation in the optical image capturing system and yield rate for manufacturing the lens can be given consideration simultaneously, and a proper back focal length is provided to dispose other optical components in the optical image capturing system.

(29) 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 relationship is satisfied: 0.001≤|R1/R2|≤25. Hereby, the first lens may have proper strength of the positive refractive power, so as to avoid the longitudinal spherical aberration from increasing too fast. Preferably, the following relationship may be satisfied: 0.01≤|R1/R2|<12.

(30) The curvature radius of the object side of the sixth lens is R11. The curvature radius of the image side of the sixth lens is R12. The following relationship is satisfied: −7<(R11−R12)/(R11+R12)<50. Hereby, the astigmatism generated by the optical image capturing system can be corrected beneficially.

(31) The distance between the first lens and the second lens on the optical axis is IN12. The following relationship is satisfied: IN12/f≤60. Hereby, the chromatic aberration of the lenses can be improved, such that the performance can be increased.

(32) The distance between the fifth lens and the sixth lens on the optical axis is IN56. The following relationship is satisfied: IN56/f≤3.0. Hereby, the chromatic aberration of the lenses can be improved, such that the performance can be increased.

(33) Central thicknesses of the first lens and the second lens on the optical axis are respectively denoted by TP1 and TP2. The following condition is satisfied: 0.1≤(TP1+IN12)/TP2≤10. Hereby, the sensitivity produced by the optical image capturing system can be controlled, and the performance can be increased.

(34) Central thicknesses of the fifth lens and the sixth lens on the optical axis are respectively denoted by TP5 and TP6, and a distance between the aforementioned two lenses on the optical axis is IN56. The following condition is satisfied: 0.1≤(TP6+IN56)/TP5≤15. Hereby, the sensitivity produced by the optical image capturing system can be controlled and the total height of the optical image capturing system can be reduced.

(35) Central thicknesses of the second lens, the third lens and the fourth lens on the optical axis are respectively denoted by TP2, TP3 and TP4. The distance between the second lens and the third lens on the optical axis is IN23. A distance between the third lens and the forth lens on the optical axis is IN34. A distance between the fourth lens and the fifth lens on the optical axis is IN45. The distance between an object side of the first lens and an image side of the sixth lens is InTL. The following relationship is satisfied: 0.1≤TP4/(IN34+TP4+IN45)<1. Hereby, 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.

(36) In the optical image capturing system of the first embodiment, a distance perpendicular to the optical axis between a critical point C61 on an object side of the sixth lens and the optical axis is HVT61. The distance perpendicular to the optical axis between a critical point C62 on an image side of the sixth lens and the optical axis is HVT62. The horizontal distance parallel to the optical axis from an intersection point where the object side of the sixth lens crosses the optical axis to the critical point C61 may be expressed as SGC61. The horizontal distance parallel to the optical axis from an intersection point where the image side of the sixth lens crosses the optical axis to the critical point C62 may be expressed as SGC62. The following relationships may be satisfied: 0 mm≤HVT61≤3 mm, 0 mm<HVT62≤6 mm, 0≤HVT61/HVT62, 0 mm≤|SGC61|≤0.5 mm; 0 mm<|SGC62|≤2 mm and 0<|SGC62|/(|SGC62|+TP6)≤0.9. Hereby, the aberration of the off-axis field of view can be corrected effectively.

(37) The following relationship is satisfied for the optical image capturing system of the present invention: 0.2≤HVT62/HOI≤0.9. Preferably, the following relationship may be satisfied: 0.3≤HVT62/HOI≤0.8. Hereby, the aberration at surrounding field of view for the optical image capturing system can be corrected beneficially.

(38) The following relationship is satisfied for the optical image capturing system of the present invention: 0≤HVT62/HOS≤0.5. Preferably, the following relationship may be satisfied: 0.2≤HVT62/HOS≤0.45. Hereby, the aberration at surrounding field of view for the optical image capturing system can be corrected beneficially.

(39) In the optical image capturing system of the present invention, the horizontal distance parallel to an optical axis from an inflection point on the object side of the sixth lens which is the first nearest to the optical axis to an intersection point where the object side of the sixth lens crosses the optical axis is denoted by SGI611. The horizontal distance parallel to an optical axis from an inflection point on the image side of the sixth lens which is the first nearest to the optical axis to an intersection point where the image side of the sixth lens crosses the optical axis is denoted by SGI621. The following relationships may be satisfied: 0<SGI611/(SGI611+TP6)≤0.9 and 0<SGI621/(SGI621+TP6)≤0.9. Preferably, the following relationships may be satisfied: 0.1≤SGI611/(SGI611+TP6)≤0.6 and 0.1≤SGI621/(SGI621+TP6)≤0.6.

(40) The horizontal distance parallel to the optical axis from the inflection point on the object side of the sixth lens which is the second nearest to the optical axis to an intersection point where the object side of the sixth lens crosses the optical axis is denoted by SGI612. The horizontal distance parallel to an optical axis from an inflection point on the image side of the sixth lens which is the second nearest to the optical axis to an intersection point where the image side of the sixth lens crosses the optical axis is denoted by SGI622. The following relationships may be satisfied: 0<SGI612/(SGI612+TP6)≤0.9 and 0<SGI622/(SGI622+TP6)≤0.9. Preferably, the following relationships may be satisfied: 0.1≤SGI612/(SGI612+TP6)≤0.6 and 0.1≤SGI622/(SGI622+TP6)≤0.6.

(41) The distance perpendicular to the optical axis between the inflection point on the object side of the sixth lens which is the first nearest to the optical axis and the optical axis is denoted by HIF611. The distance perpendicular to the optical axis between an intersection point where the image side of the sixth lens crosses the optical axis and an inflection point on the image side of the sixth lens which is the first nearest to the optical axis is denoted by HIF621. The following relationships may be satisfied: 0.001 mm≤|HIF611|≤5 mm and 0.001 mm≤|HIF621|≤5 mm. Preferably, the following relationships may be satisfied: 0.1 mm≤|HIF611|≤3.5 mm and 1.5 mm≤|HIF621|≤3.5 mm.

(42) The distance perpendicular to the optical axis between the inflection point on the object side of the sixth lens which is the second nearest to the optical axis and the optical axis is denoted by HIF612. The distance perpendicular to the optical axis between an intersection point where the image side of the sixth lens crosses the optical axis and an inflection point on the image side of the sixth lens which is the second nearest to the optical axis is denoted by HIF622. The following relationships may be satisfied: 0.001 mm≤|HIF612|≤5 mm and 0.001 mm≤|HIF622|≤5 mm. Preferably, the following relationships may be satisfied: 0.1 mm≤|HIF622|≤3.5 mm and 0.1 mm≤|HIF612|≤3.5 mm.

(43) The distance perpendicular to the optical axis between the inflection point on the object side of the sixth lens which is the third nearest to the optical axis and the optical axis is denoted by HIF613. The distance perpendicular to the optical axis between an intersection point where the image side of the sixth lens crosses the optical axis and an inflection point on the image side of the sixth lens which is the third nearest to the optical axis is denoted by HIF623. The following relationships are satisfied: 0.001 mm≤|HIF613|≤5 mm and 0.001 mm≤|HIF623|≤5 mm. Preferably, the following relationships may be satisfied: 0.1 mm≤|HIF623|≤3.5 mm and 0.1 mm≤|HIF613|≤3.5 mm.

(44) The distance perpendicular to the optical axis between the inflection point on the object side of the sixth lens which is the fourth nearest to the optical axis and the optical axis is denoted by HIF614. The distance perpendicular to the optical axis between an intersection point where the image side of the sixth lens crosses the optical axis and an inflection point on the image side of the sixth lens which is the fourth nearest to the optical axis is denoted by HIF624. The following relationships are satisfied: 0.001 mm≤|HIF614|≤5 mm and 0.001 mm≤|HIF624|≤5 mm. Preferably, the following relationships may be satisfied: 0.1 mm≤|HIF624|≤3.5 mm and 0.1 mm≤|HIF614|≤3.5 mm.

(45) 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.

(46) The equation for the aspheric surface as mentioned above 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)
wherein, z is the position value of the position along the optical axis at the height h where the surface apex is regarded as a reference; 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.

(47) In the optical image capturing module provided by the present disclosure, the material of the lens may be made of glass or plastic. Using plastic as the material for producing the lens may effectively reduce the cost of manufacturing. In addition, using glass as the material for producing the lens may control the heat effect and increase the designed space configured by the refractive power of the optical image capturing module. Moreover, the object side surface and the image side surface from the first lens to the sixth lens may be aspheric, which may obtain more control variables. Apart from eliminating the aberration, the number of lenses used may be reduced compared with that of traditional lenses used made by glass. Thus, the total height of the optical image capturing module may be reduced effectively.

(48) Furthermore, in the optical image capturing system provided by the present invention, when the surface of the lens is a convex surface, the surface of the lens adjacent to the optical axis is convex in principle, and when the surface of the lens is a concave surface, the surface of the lens adjacent to the optical axis is concave in principle.

(49) 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 has the characteristics of good aberration correction and good image quality. Thereby, the optical image capturing system expands the application aspect.

(50) The optical image capturing system of the present invention can further include a driving module based on the demand. The driving module may be coupled with the lens and enable the movement of the lens. The foregoing driving module 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 which lead to the out focus due to the vibration of the camera lens in the shooting process.

(51) At least one of the first lens, the second lens, the third lens, the fourth lens, the fifth lens and the sixth lens of the optical image capturing system of the present invention may further be designed as a light filtering element with a wavelength of less than 500 nm based on the demand. 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.

(52) The image plane of the optical image capturing system of the present invention may be a plane or a curved surface based on the design requirements. When the image plane is a curved surface (e.g. a spherical surface with curvature radius), the decrease of the required incident angle to focus rays on the image plane is helpful. In addition to the aid of the miniaturization of the length of the optical image capturing system (TTL), this configuration is helpful to elevate the relative illumination at the same time.

(53) The optical imaging system of the present invention can be applied to capture stereo image. The light with specific characteristics can be projected onto an object, reflected by the surface of the object, and then received and calculated by the lens of the optical imaging system, so as to obtain the distance between each position of the object and the lens, and then determine the information of the stereo image. At least one IR-cut filter can be used reduce interference for of the projected light in specific spectrum, to achieve more accurate measurements. The above-mentioned 3D sensing method of capturing stereo image may employ technology such as time-of-flight (TOF) or structured light, but the present invention is not limited thereto.

(54) According to the above embodiments, the specific embodiments with figures are presented in detail as below.

First Embodiment

(55) Please refer to FIGS. 1A to 1C. FIG. 1A is a schematic view of the optical image capturing system according to the first embodiment of the present invention. FIG. 1B is a curve diagram illustrating the spherical aberration, astigmatism and optical distortion of the optical image capturing system in order from left to right according to the first embodiment of the present invention. FIG. 1C shows the sagittal fan and the tangential fan of the optical image capturing system and the lateral aberration diagram of the longest operation wavelength and the shortest operation wavelength passing thorough the margin of the aperture at 0.7 field of view according to the first embodiment of the present invention. As shown in FIG. 1A, an optical image capturing system includes, in the order from the object side to the image side, a first lens 110, an aperture 100, a second lens 120, a third lens 130, a fourth lens 140, a fifth lens 150, a sixth lens 160, an IR-cut filter 180, an image plane 190, and an image sensor element 192.

(56) The first lens 110 has negative refractive power and is made of plastic. The object side 112 of the first lens 110 is a concave surface and the image side 114 of the first lens 110 is a concave surface, and the object side 112 and the image side 114 of are aspheric. The object side 112 has two inflection points. ARS11 denotes the arc length of the maximum effective half diameter of the object side surface of the first lens. ARS12 denotes the arc length of the maximum effective half diameter of the image side surface of the first lens. ARE11 denotes the arc length of half the entrance pupil diameter (HEP) of the object side surface of the first lens. ARE12 denotes the arc length of half the entrance pupil diameter (HEP) of the image side surface of the first lens. TP1 is the thickness of the first lens on the optical axis.

(57) SGI111 denotes a distance parallel to the optical axis from the inflection point on the object side surface of the first lens which is the nearest to the optical axis to an axial point on the object side surface of the first lens. SGI121 denotes a distance parallel to an optical axis from an inflection point on the image side surface of the first lens which is the nearest to the optical axis to an axial point on the image side surface of the first lens. The following conditions are satisfied: SGI111=−0.0031 mm; |SGI111|/(|SGI111|+TP1)=0.0016.

(58) SGI112 denotes the distance parallel to the optical axis from the inflection point on the object side surface of the first lens which is the second nearest to the optical axis to an axial point on the object side surface of the first lens. SGI122 denotes the distance parallel to an optical axis from an inflection point on the image side surface of the first lens which is the second nearest to the optical axis to an axial point on the image side surface of the first lens. The following conditions are satisfied: SGI112=1.3178 mm; |SGI112|/(|SGI112|+TP1)=0.4052.

(59) HIF111 denotes the distance perpendicular to the optical axis between the inflection point on the object side surface of the first lens which is the nearest to the optical axis and the optical axis. HIF121 denotes the distance perpendicular to the optical axis between an axial point on the image side surface of the first lens and an inflection point on the image side surface of the first lens which is the nearest to the optical axis. The following conditions are satisfied: HIF111=0.5557 mm; HIF111/HOI=0.1111.

(60) HIF112 denotes the distance perpendicular to the optical axis between the inflection point on the object side surface of the first lens which is the second nearest to the optical axis and the optical axis. HIF122 denotes the distance perpendicular to the optical axis between an axial point on the image side surface of the first lens and an inflection point on the image side surface of the first lens which is the second nearest to the optical axis. The following conditions are satisfied: HIF112=5.3732 mm; HIF112/HOI=1.0746.

(61) The second lens 120 has positive refractive power and is made of plastic. The object side 122 of the second lens 120 is a convex surface and the image side 124 of the second lens 120 is a convex surface, and the object side 122 and the image side 124 are aspheric. The object side 122 has one inflection point. ARS21 denotes the arc length of the maximum effective half diameter of the object side surface of the second lens. ARS22 denotes the arc length of the maximum effective half diameter of the image side surface of the second lens. ARE21 denotes an arc length of half the entrance pupil diameter (HEP) of the object side surface of the second lens. ARS22 denotes the arc length of half the entrance pupil diameter (HEP) of the image side surface of the second lens. TP2 is the thickness of the second lens on the optical axis.

(62) The horizontal distance parallel to the optical axis from an inflection point on the object side of the second lens that is the first nearest to the optical axis to the intersection point where the object side of the second lens crosses the optical axis is denoted by SGI211. The horizontal distance parallel to the optical axis from an inflection point on the image side of the second lens that is the first nearest to the optical axis to the intersection point where the image side of the second lens crosses the optical axis is denoted by SGI221. The following conditions are satisfied: SGI211=0.1069 mm, |SGI211|/(|SGI211|+TP2)=0.0412, SGI221=0 mm, and |SGI221|/(|SGI221|+TP2)=0.

(63) The perpendicular distance from the inflection point on the object side of the second lens that is the first nearest to the optical axis to the optical axis is denoted by HIF211. The distance perpendicular to the optical axis from the inflection point on the image side of the second lens that is the first nearest to the optical axis to the intersection point where the image side of the second lens crosses the optical axis is denoted by HIF221. The following conditions are satisfied: HIF211=1.1264 mm, HIF211/HOI=0.2253, HIF221=0 mm and HIF221/HOI=0.

(64) 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 convex surface, and the object side 132 and the image side 134 are both aspheric. The object side 132 has one inflection point, and the image side 134 has one inflection point. The length of the maximum effective half diameter outline curve of the object side of the third lens is denoted by ARS31. The length of the maximum effective half diameter outline curve of the image side of the third lens is denoted by ARS32. The length of the ½ entrance pupil diameter (HEP) outline curve of the object side of the third lens is denoted by ARE31. The length of the ½ entrance pupil diameter (HEP) outline curve of the image side of the third lens is denoted by ARS32. The thickness of the third lens on the optical axis is denoted by TP3.

(65) The distance parallel to the optical axis from an inflection point on the object side of the third lens that is the first nearest to the optical axis to an intersection point where the object side of the third lens crosses the optical axis is denoted by SGI311. The distance parallel to the optical axis from an inflection point on the image side of the third lens that is the first nearest to the optical axis to an intersection point where the image side of the third lens crosses the optical axis is denoted by SGI321. The following conditions are satisfied: SGI311=−0.3041 mm, |SGI311|/(|SGI311|+TP3)=0.4445, SGI321=−0.1172 mm and |SGI321|/(|SGI321|+TP3)=0.2357.

(66) The perpendicular distance between the inflection point on the object side of the third lens that is the first nearest to the optical axis and the optical axis is denoted by HIF311. The distance perpendicular to the optical axis between the inflection point on the image side of the third lens that is the first nearest to the optical axis and the intersection point where the image side of the third lens crosses the optical axis is denoted by HIF321. The following conditions are satisfied: HIF311=1.5907 mm, HIF311/HOI=0.3181, HIF321=1.3380 mm and HIF321/HOI=0.2676.

(67) 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 concave surface, and the object side 142 and the image side 144 of the fourth lens 140 are both aspheric. The object side 142 has two inflection points, and the image side 144 has one inflection point. The length of the maximum effective half diameter outline curve of the object side of the fourth lens is denoted by ARS41. The length of the maximum effective half diameter outline curve of the image side of the fourth lens is denoted by ARS42. The length of the ½ entrance pupil diameter (HEP) outline curve of the object side of the fourth lens is denoted by ARE41. The length of the ½ entrance pupil diameter (HEP) outline curve of the image side of the fourth lens is denoted by ARS42. The thickness of the fourth lens on the optical axis is denoted by TP4.

(68) 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 the intersection point where the object side of the fourth lens crosses the optical axis is denoted by SGI411. The horizontal distance parallel to 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 the intersection point where the image side of the fourth lens crosses the optical axis is denoted by SGI421. The following conditions are satisfied: SGI411=0.0070 mm, |SGI411|/(|SGI411|+TP4)=0.0056, SGI421=0.0006 mm and |SGI421|/(|SGI421|+TP4)=0.0005.

(69) 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 the intersection point where the object side of the fourth lens crosses the optical axis is denoted by SGI412. The horizontal distance parallel to 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 the intersection point where the image side of the fourth lens crosses the optical axis is denoted by SGI422. The following conditions are satisfied: SGI412=−0.2078 mm and |SGI412|/(|SGI412|+TP4)=0.1439.

(70) 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 is denoted by HIF411. The distance perpendicular to the optical axis between the inflection point on the image side of the fourth lens that is the first nearest to the optical axis and the intersection point where the image side of the fourth lens crosses the optical axis is denoted by HIF421. The following conditions are satisfied: HIF411=0.4706 mm, HIF411/HOI=0.0941, HIF421=0.1721 mm, and HIF421/HOI=0.0344.

(71) 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 is denoted by HIF412. The distance perpendicular to the optical axis between the inflection point on the image side of the fourth lens that is the second nearest to the optical axis and the intersection point where the image side of the fourth lens crosses the optical axis is denoted by HIF422. The following conditions are satisfied: HIF412=2.0421 mm and HIF412/HOI=0.4084.

(72) The fifth lens 150 has positive refractive power and is made of plastic. An object side 152 of the fifth lens 150 is a convex surface and an image side 154 of the fifth lens 150 is a convex surface, and the object side 152 and the image side 154 are both aspheric. The object side 152 has two inflection points and the image side 154 has one inflection point. The length of the maximum effective half diameter outline curve of the object side of the fifth lens is denoted by ARS51. The length of the maximum effective half diameter outline curve of the image side of the fifth lens is denoted by ARS52. The length of the ½ entrance pupil diameter (HEP) outline curve of the object side of the fifth lens is denoted by ARE51. The length of the ½ entrance pupil diameter (HEP) outline curve of the image side of the fifth lens is denoted by ARE52. The thickness of the fifth lens on the optical axis is denoted by TP5.

(73) The horizontal distance parallel to the optical axis from an inflection point on the object side of the fifth lens that is the first nearest to the optical axis to the intersection point where the object side of the fifth lens crosses the optical axis is denoted by SGI511. The horizontal distance parallel to the optical axis from an inflection point on the image side of the fifth lens that is the first nearest to the optical axis to the intersection point where the image side of the fifth lens crosses the optical axis is denoted by SGI521. The following conditions are satisfied: SGI511=0.00364 mm, |SGI511|/(|SGI511|+TP5)=0.00338, SGI521=−0.63365 mm, and |SGI521|/(|SGI521|+TP5)=0.37154.

(74) The horizontal distance parallel to the optical axis from an inflection point on the object side of the fifth lens that is the second nearest to the optical axis to the intersection point where the object side of the fifth lens crosses the optical axis is denoted by SGI512. The horizontal distance parallel to the optical axis from an inflection point on the image side of the fifth lens that is second nearest to the optical axis to the intersection point where the image side of the fifth lens crosses the optical axis is expressed as SGI522. The following conditions are satisfied: SGI512=−0.32032 mm and |SGI512|/(|SGI512|+TP5)=0.23009.

(75) The horizontal distance parallel to the optical axis from an inflection point on the object side of the fifth lens that is the third nearest to the optical axis to the intersection point where the object side of the fifth lens crosses the optical axis is denoted by SGI513. The horizontal distance parallel to the optical axis from an inflection point on the image side of the fifth lens that is the third nearest to the optical axis to the intersection point where the image side of the fifth lens crosses the optical axis is denoted by SGI523. The following conditions are satisfied: SGI513=0 mm, |SGI513|/(|SGI513|+TP5)=0, SGI523=0 mm and |SGI523|/(|SGI523|+TP5)=0.

(76) The horizontal distance parallel to the optical axis from an inflection point on the object side of the fifth lens that is the fourth nearest to the optical axis to the intersection point where the object side of the fifth lens crosses the optical axis is denoted by SGI514. The horizontal distance parallel to the optical axis from an inflection point on the image side of the fifth lens that is the fourth nearest to the optical axis to the intersection point where the image side of the fifth lens crosses the optical axis is denoted by SGI524. The following conditions are satisfied: SGI514=0 mm, |SGI514|/(|SGI514|+TP5)=0, SGI524=0 mm, and |SGI524|/(|SGI524|+TP5)=0.

(77) The perpendicular distance between the optical axis and the inflection point on the object side of the fifth lens that is the first nearest to the optical axis is denoted by HIF511. The perpendicular distance between the optical axis and the inflection point on the image side of the fifth lens that is the first nearest to the optical axis is denoted by HIF521. The following conditions are satisfied: HIF511=0.28212 mm, HIF511/HOI=0.05642, HIF521=2.13850 mm and HIF521/HOI=0.42770.

(78) The perpendicular distance between the inflection point on the object side of the fifth lens that is the second nearest to the optical axis and the optical axis is denoted by HIF512. The perpendicular distance between the inflection point on the image side of the fifth lens that is the second nearest to the optical axis and the optical axis is denoted by HIF522. The following conditions are satisfied: HIF512=2.51384 mm and HIF512/HOI=0.50277.

(79) The perpendicular distance between the inflection point on the object side of the fifth lens that is the third nearest to the optical axis and the optical axis is denoted by HIF513. The perpendicular distance between the inflection point on the image side of the fifth lens that is the third nearest to the optical axis and the optical axis is denoted by HIF523. The following conditions are satisfied: HIF513=0 mm, HIF513/HOI=0, HIF523=0 mm and HIF523/HOI=0.

(80) The perpendicular distance between the inflection point on the object side of the fifth lens that is the fourth nearest to the optical axis and the optical axis is denoted by HIF514. The perpendicular distance between the inflection point on the image side of the fifth lens that is the fourth nearest to the optical axis and the optical axis is denoted by HIF524. The following conditions are satisfied: HIF514=0 mm, HIF514/HOI=0, HIF524=0 mm and HIF524/HOI=0.

(81) The sixth lens 160 has negative refractive power and is made of plastic. An object side 162 of the sixth lens 160 is a concave surface and an image side 164 of the sixth lens 160 is a concave surface. The object side 162 has two inflection points and the image side 164 has one inflection point. Hereby, the angle of incidence from each field of view to the sixth lens can be adjusted effectively and the aberration of the optical image capturing system can be improved. The length of the maximum effective half diameter outline curve of the object side of the sixth lens is denoted by ARS61. The length of the maximum effective half diameter outline curve of the image side of the sixth lens is denoted by ARS62. The length of the ½ entrance pupil diameter (HEP) outline curve of the object side of the sixth lens is denoted by ARE61. The length of the ½ entrance pupil diameter (HEP) outline curve of the image side of the sixth lens is denoted by ARS62. The thickness of the sixth lens on the optical axis is denoted by TP6.

(82) The horizontal distance parallel to the optical axis from an inflection point on the object side of the sixth lens that is the first nearest to the optical axis to the intersection point where the object side of the sixth lens crosses the optical axis is denoted by SGI611. The horizontal distance parallel to the optical axis from an inflection point on the image side of the sixth lens that is the first nearest to the optical axis to the intersection point where the image side of the sixth lens crosses the optical axis is denoted by SGI621. The following conditions are satisfied: SGI611=−0.38558 mm, |SGI611|/(|SGI611|+TP6)=0.27212, SGI621=0.12386 mm and |SGI621|/(|SGI621|+TP6)=0.10722.

(83) The horizontal distance parallel to the optical axis from an inflection point on the object side of the sixth lens that is the second nearest to the optical axis to an intersection point where the object side of the sixth lens crosses the optical axis is denoted by SGI612. The horizontal distance parallel to the optical axis from an inflection point on the image side of the sixth lens that is the second nearest to the optical axis to the intersection point where the image side of the sixth lens crosses the optical axis is denoted by SGI622. The following conditions are satisfied: SGI612=−0.47400 mm, |SGI612|/(|SGI612|+TP6)=0.31488, SGI622=0 mm and |SGI622|/(|SGI622|+TP6)=0.

(84) The horizontal distance parallel to the optical axis from an inflection point on the object side of the sixth lens that is the second nearest to the optical axis to an intersection point where the object side of the sixth lens crosses the optical axis is denoted by SGI612. The horizontal distance parallel to the optical axis from an inflection point on the image side of the sixth lens that is the second nearest to the optical axis to the intersection point where the image side of the sixth lens crosses the optical axis is denoted by SGI622. The following conditions are satisfied: SGI612=−0.47400 mm, |SGI612|/(|SGI612|+TP6)=0.31488, SGI622=0 mm, and |SGI622|/(|SGI622|+TP6)=0.

(85) The perpendicular distance between the inflection point on the object side of the sixth lens that is the first nearest to the optical axis and the optical axis is denoted by HIF611. The perpendicular distance between the inflection point on the image side of the sixth lens that is the first nearest to the optical axis and the optical axis is denoted by HIF621. The following conditions are satisfied: HIF611=2.24283 mm, HIF611/HOI=0.44857, HIF621=1.07376 mm and HIF621/HOI=0.21475.

(86) The perpendicular distance between the inflection point on the object side of the sixth lens that is the second nearest to the optical axis and the optical axis is denoted by HIF612. The perpendicular distance between the inflection point on the image side of the sixth lens that is the second nearest to the optical axis and the optical axis is denoted by HIF622. The following conditions are satisfied: HIF612=2.48895 mm and HIF612/HOI=0.49779.

(87) The perpendicular distance between the inflection point on the object side of the sixth lens that is the third nearest to the optical axis and the optical axis is denoted by HIF613. The perpendicular distance between the inflection point on the image side of the sixth lens that is the third nearest to the optical axis and the optical axis is denoted by HIF623. The following conditions are satisfied: HIF613=0 mm, HIF613/HOI=0, HIF623=0 mm and HIF623/HOI=0.

(88) The perpendicular distance between the inflection point on the object side of the sixth lens that is fourth nearest to the optical axis and the optical axis is denoted by HIF614. The perpendicular distance between the inflection point on the image side of the sixth lens that is the fourth nearest to the optical axis and the optical axis is denoted by HIF624. The following conditions are satisfied: HIF614=0 mm, HIF614/HOI=0, HIF624=0 mm and HIF624/HOI=0.

(89) The IR-cut filter 180 is made of glass, and disposed between the sixth lens 160 and the image plane 190, and does not affect the focal length of the optical image capturing system.

(90) In the optical image capturing system of the first embodiment, the focal length of the optical image capturing system is denoted by f, the entrance pupil diameter of the optical image capturing system is denoted by HEP, and a half maximum angle of view of the optical image capturing system is denoted by HAF. The detailed parameters are shown as below: f=4.075 mm, f/HEP=1.4, HAF=50.001° and tan(HAF)=1.1918.

(91) In the optical image capturing system of the first embodiment, the focal length of the first lens is denoted by f1 and the focal length of the sixth lens is denoted by f6. The following conditions are satisfied: f1=−7.828 mm, |f/f1|=0.52060, f6=−4.886 mm and |f1|>|f6|.

(92) In the optical image capturing system of the first embodiment, focal lengths of the second lens to the fifth lens is denoted by f2, f3, f4 and f5, respectively. The following conditions are satisfied: |f2|+|f3|+|f4|+|f5|=95.50815 mm, |f1|+|f6|=12.71352 mm and |f2|+|f3|+|f4|+|f5|>|f1|+|f6|.

(93) The ratio of the focal length f of the optical image capturing system to the focal length fp of each of lens with positive refractive power is denoted by PPR. The ratio of the focal length f of the optical image capturing system to a focal length fn of each of lens with negative refractive power is denoted by NPR. In the optical image capturing system of the first embodiment, the sum of the PPR of all lenses with positive refractive power is ΣPPR=f/f2+f/f4+f/f5=1.63290. The sum of the NPR of all lenses with negative refractive powers is ΣNPR=|f/f1|+|f/f3|+|f/f6|=1.51305, ΣPPR/|ΣNPR|=1.07921. Simultaneously, the following conditions are also satisfied: |f/f2|=0.69101, |f/f3|=0.15834, |f/f4|=0.06883, |f/f5|=0.87305 and |f/f6|=0.83412.

(94) In the optical image capturing system of the first embodiment, the distance from the object side of the first lens to the image side of the sixth lens is denoted by InTL. The distance from the object side of the first lens to the image plane is denoted by HOS. The distance from the aperture to the image plane is denoted by InS. A half diagonal length of the effective detection field of the image sensing device is denoted by HOI. The distance from the image side of the sixth lens to the image plane is denoted by BFL. The following conditions are satisfied: InTL+BFL=HOS, HOS=19.54120 mm, HOI=5.0 mm, HOS/HOI=3.90824, HOS/f=4.7952, InS=11.685 mm, and InS/HOS=0.59794.

(95) In the optical image capturing system of the first embodiment, a total thickness of all lenses with refractive power on the optical axis is denoted by ΣTP. The following conditions are satisfied: ΣTP=8.13899 mm and ΣTP/InTL=0.52477. 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.

(96) In the optical image capturing system of the first embodiment, the curvature radius of the object side of the first lens is denoted by R1. The curvature radius of the image side of the first lens is denoted by R2. The following condition is satisfied: |R1/R2|=8.99987. Hereby, the first lens has a suitable magnitude of positive refractive power, so as to prevent the longitudinal spherical aberration from increasing too fast.

(97) In the optical image capturing system of the first embodiment, the curvature radius of the object side of the sixth lens is denoted by R11. The curvature radius of the image side of the sixth lens is denoted by R12. The following condition is satisfied: (R11−R12)/(R11+R12)=1.27780. Hereby, this configuration is beneficial for correcting the astigmatism generated by the optical image capturing system.

(98) In the optical image capturing system of the first embodiment, the sum of focal lengths of all lenses with positive refractive power is denoted by ΣPP. The following conditions are satisfied: ΣPP=f2+f4+f5=69.770 mm and f5/(f2+f4+f5)=0.067. Hereby, this configuration is helpful to distribute the positive refractive power of a single lens to other lens with positive refractive powers in an appropriate way, so as to suppress the generation of noticeable aberrations in the propagating process of the incident light in the optical image capturing system.

(99) In the optical image capturing system of the first embodiment, the sum of focal lengths of all lenses with negative refractive power is denoted by ΣNP. The following conditions are satisfied: ΣNP=f1+f3+f6=−38.451 mm and f6/(f1+f3+f6)=0.127. Hereby, this configuration is helpful to distribute the negative refractive power of the sixth lens to other lens with negative refractive powers in an appropriate way, so as to suppress the generation of noticeable aberrations in the propagating process of the incident light in the optical image capturing system.

(100) In the optical image capturing system of the first embodiment, the distance on the optical axis between the first lens and the second lens is denoted by IN12. The following conditions are satisfied: IN12=6.418 mm and IN12/f=1.57491. 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 of the first embodiment.

(101) In the optical image capturing system of the first embodiment, a distance on the optical axis between the fifth lens and the sixth lens is denoted by IN56. The following conditions are satisfied: IN56=0.025 mm and IN56/f=0.00613. 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 of the first embodiment.

(102) In the optical image capturing system of the first embodiment, the thicknesses of the first lens and the second lens on the optical axis is denoted by TP1 and TP2, respectively. The following conditions are satisfied: TP1=1.934 mm, TP2=2.486 mm and (TP1+IN12)/TP2=3.36005. Therefore, this configuration is helpful to control the sensitivity generated by the optical image capturing system and elevate the performance of the optical image capturing system of the first embodiment.

(103) In the optical image capturing system of the first embodiment, the thicknesses of the fifth lens and the sixth lens on the optical axis is denoted by TP5 and TP6, respectively, and the distance between the aforementioned two lenses on the optical axis is IN56. The following conditions are satisfied: TP5=1.072 mm, TP6=1.031 mm and (TP6+IN56)/TP5=0.98555. Therefore, this configuration is helpful to control the sensitivity generated by the optical image capturing system and reduce the total height of the optical image capturing system.

(104) In the optical image capturing system of the first embodiment, the distance on the optical axis between the third lens and the fourth lens is denoted by IN34. The distance on the optical axis between the fourth lens and the fifth lens is denoted by IN45. The following conditions are satisfied: IN34=0.401 mm, IN45=0.025 mm, and TP4/(IN34+TP4+IN45)=0.74376. 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.

(105) In the optical image capturing system of the first embodiment, a horizontal distance parallel to the optical axis from an intersection point where the object side 152 of the fifth lens crosses the optical axis to a maximum effective half diameter position on the object side 152 of the fifth lens is denoted by InRS51. The horizontal distance parallel to the optical axis from an intersection point where the image side 154 of the fifth lens crosses the optical axis to a maximum effective half diameter position on the image side 154 of the fifth lens is denoted by InRS52. The thickness of the fifth lens on the optical axis is denoted by TP5. The following conditions are satisfied: InRS51=−0.34789 mm, InRS52=−0.88185 mm, |InRS51|/TP5=0.32458 and |InRS52|/TP5=0.82276. Hereby, this configuration is favorable for manufacturing and forming of lens and keeps the miniaturization of the optical image capturing system effectively.

(106) In the optical image capturing system of the first embodiment, the perpendicular distance between a critical point on the object side of the fifth lens and the optical axis is denoted by HVT51. The perpendicular distance between a critical point on the image side of the fifth lens and the optical axis is denoted by HVT52. The following conditions are satisfied: HVT51=0.515349 mm and HVT52=0 mm.

(107) In the optical image capturing system of the first embodiment, a horizontal distance in parallel with the optical axis from an intersection point where the object side of the sixth lens crosses the optical axis to a maximum effective half diameter position on the object side of the sixth lens is denoted by InRS61. A distance parallel to the optical axis from an intersection point where the image side of the sixth lens crosses the optical axis to a maximum effective half diameter position on the image side of the sixth lens is denoted by InRS62. The thickness of the sixth lens is TP6. The following conditions are satisfied: InRS61=−0.58390 mm, InRS62=0.41976 mm, |InRS61|/TP6=0.56616, and |InRS62|/TP6=0.40700. Hereby, this configuration is favorable for manufacturing and forming of lens and keeps the miniaturization of the optical image capturing system effectively.

(108) In the optical image capturing system of the first embodiment, the perpendicular distance between a critical point on the object side of the sixth lens and the optical axis is denoted by HVT61. The perpendicular distance between a critical point on the image side of the sixth lens and the optical axis is denoted by HVT62. The following conditions are satisfied: HVT61=0 mm and HVT62=0 mm.

(109) In the optical image capturing system of the first embodiment, the following condition is satisfied: HVT51/HOI=0.1031. Therefore, this configuration is helpful to correct the aberration of surrounding field of view of the optical image capturing system.

(110) In the optical image capturing system of the first embodiment, the following condition is satisfied: HVT51/HOS=0.02634. Therefore, this configuration is helpful to correct the aberration of surrounding field of view of the optical image capturing system.

(111) In the optical image capturing system of the first embodiment, the second lens, the third lens and the sixth lens have negative refractive power. The coefficient of dispersion of the second lens is denoted by NA2. The coefficient of dispersion of the third lens is denoted by NA3. The coefficient of dispersion of the sixth lens is denoted by NA6. The following condition is satisfied: NA6/NA2≤1. Therefore, this configuration is helpful to correct the chromatic aberration of the optical image capturing system.

(112) In the optical image capturing system of the first embodiment, TV distortion and optical distortion for image formation in the optical image capturing system is denoted by TDT and ODT, respectively. The following conditions are satisfied: TDT=2.124% and ODT=5.076%.

(113) In the optical image capturing system of the first embodiment, a lateral aberration of the longest operation wavelength of visible light of a positive tangential fan diagram passing through a margin of the aperture and incident on the image plane at 0.7 field of view is denoted by PLTA and its value is 0.006 mm. A lateral aberration of the shortest operation wavelength of visible light of the positive tangential fan diagram passing through the margin of the aperture and incident on the image plane at 0.7 field of view is denoted by PSTA and its value is 0.005 mm. A lateral aberration of the longest operation wavelength of visible light of the negative tangential fan diagram passing through the margin of the aperture and incident on the image plane at 0.7 field of view is denoted by NLTA and its value is 0.004 mm. A lateral aberration of the shortest operation wavelength of visible light of the negative tangential fan diagram passing through the margin of the aperture and incident on the image plane at 0.7 field of view is denoted by NSTA and its value is −0.007 mm. A lateral aberration of the longest operation wavelength of visible light of a sagittal fan diagram passing through the margin of the aperture and incident on the image plane at 0.7 field of view is denoted by SLTA and its value is −0.003 mm. A lateral aberration of the shortest operation wavelength of visible light of the sagittal fan diagram passing through the margin of the aperture and incident on the image plane at 0.7 field of view is denoted by SSTA and its value is 0.008 mm.

(114) Please refer to table 1 and table 2

(115) TABLE-US-00001 TABLE 1 Lens Parameters for the First Embodiment f = 4.075 mm; f/HEP = 1.4; HAF = 50.000 deg Refractive Dispersion Focal Surface Curvature Radius Thickness(mm) Material index coefficient length 0 Object Plano Plano 1 Lens 1 −40.99625704 1.934 Plastic 1.515 56.55 −7.828 2 4.555209289 5.923 3 Aperture Plano 0.495 4 Lens 2 5.333427366 2.486 Plastic 1.544 55.96 5.897 5 −6.781659971 0.502 6 Lens 3 −5.697794287 0.380 Plastic 1.642 22.46 −25.738 7 −8.883957518 0.401 8 Lens 4 13.19225664 1.236 Plastic 1.544 55.96 59.205 9 21.55681832 0.025 10 Lens 8.987806345 1.072 Plastic 1.515 56.55 4.668 11 −3.158875374 0.025 12 Lens −29.46491425 1.031 Plastic 1.642 22.46 −4.886 13 3.593484273 2.412 14 IR-cut filter Plano 0.200 1.517 64.13 15 Plano 1.420 16 Image plane Plano Reference wavelength = 555 nm; Shield position: The clear aperture of the first surface is 5.800 mm. The clear aperture of the third surface is 1.570 mm. The clear aperture of the fifth surface is 1.950 mm.

(116) TABLE-US-00002 TABLE 2 Aspheric Coefficients Surface 1 2 4 5 6 7 8 k 4.310876E+01 −4.707622E+00  2.616025E+00  2.445397E+00  5.645686E+00 −2.117147E+01 −5.287220E+00 A4 7.054243E−03  1.714312E−02 −8.377541E−03 −1.789549E−02 −3.379055E−03 −1.370959E−02 −2.937377E−02 A6 −5.233264E−04  −1.502232E−04 −1.838068E−03 −3.657520E−03 −1.225453E−03  6.250200E−03  2.743532E−03 A8 3.077890E−05 −1.359611E−04  1.233332E−03 −1.131622E−03 −5.979572E−03 −5.854426E−03 −2.457574E−03 A10 −1.260650E−06   2.680747E−05 −2.390895E−03  1.390351E−03  4.556449E−03  4.049451E−03  1.874319E−03 A12 3.319093E−08 −2.017491E−06  1.998555E−03 −4.152857E−04 −1.177175E−03 −1.314592E−03 −6.013661E−04 A14 −5.051600E−10   6.604615E−08 −9.734019E−04  5.487286E−05  1.370522E−04  2.143097E−04  8.792480E−05 A16 3.380000E−12 −1.301630E−09  2.478373E−04 −2.919339E−06 −5.974015E−06 −1.399894E−05 −4.770527E−06 Surface 9 10 11 12 13 k  6.200000E+01 −2.114008E+01 −7.699904E+00 −6.155476E+01 −3.120467E−01 A4 −1.359965E−01 −1.263831E−01 −1.927804E−02 −2.492467E−02 −3.521844E−02 A6  6.628518E−02  6.965399E−02  2.478376E−03 −1.835360E−03  5.629654E−03 A8 −2.129167E−02 −2.116027E−02  1.438785E−03  3.201343E−03 −5.466925E−04 A10  4.396344E−03  3.819371E−03 −7.013749E−04 −8.990757E−04  2.231154E−05 A12 −5.542899E−04 −4.040283E−04  1.253214E−04  1.245343E−04  5.548990E−07 A14  3.768879E−05  2.280473E−05 −9.943196E−06 −8.788363E−06 −9.396920E−08 A16 −1.052467E−06 −5.165452E−07  2.898397E−07  2.494302E−07  2.728360E−09

(117) The values related to arc lengths can be obtained according to table 1 and table 2.

(118) TABLE-US-00003 First embodiment (Reference wavelength = 555 nm) ARE ½(HEP) ARE value ARE − ½(HEP) 2(ARE/HEP) % TP ARE/TP (%) 11 1.455 1.455 −0.00033 99.98% 1.934 75.23% 12 1.455 1.495 0.03957 102.72% 1.934 77.29% 21 1.455 1.465 0.00940 100.65% 2.486 58.93% 22 1.455 1.495 0.03950 102.71% 2.486 60.14% 31 1.455 1.486 0.03045 102.09% 0.380 391.02% 32 1.455 1.464 0.00830 100.57% 0.380 385.19% 41 1.455 1.458 0.00237 100.16% 1.236 117.95% 42 1.455 1.484 0.02825 101.94% 1.236 120.04% 51 1.455 1.462 0.00672 100.46% 1.072 136.42% 52 1.455 1.499 0.04335 102.98% 1.072 139.83% 61 1.455 1.465 0.00964 100.66% 1.031 142.06% 62 1.455 1.469 0.01374 100.94% 1.031 142.45% ARS EHD ARS value ARS − EHD (ARS/EHD)% TP ARS/TP (%) 11 5.800 6.141 0.341 105.88% 1.934 317.51% 12 3.299 4.423 1.125 134.10% 1.934 228.70% 21 1.664 1.674 0.010 100.61% 2.486 67.35% 22 1.950 2.119 0.169 108.65% 2.486 85.23% 31 1.980 2.048 0.069 103.47% 0.380 539.05% 32 2.084 2.101 0.017 100.83% 0.380 552.87% 41 2.247 2.287 0.040 101.80% 1.236 185.05% 42 2.530 2.813 0.284 111.22% 1.236 227.63% 51 2.655 2.690 0.035 101.32% 1.072 250.99% 52 2.764 2.930 0.166 106.00% 1.072 273.40% 61 2.816 2.905 0.089 103.16% 1.031 281.64% 62 3.363 3.391 0.029 100.86% 1.031 328.83%

(119) Table 1 is the detailed structure data to the first embodiment, wherein the unit of the curvature radius, the thickness, the distance, and the focal length is millimeters (mm). Surfaces 0-16 illustrate the surfaces from the object side to the image side. Table 2 is the aspheric coefficients of the first embodiment, wherein k is the conic coefficient in the aspheric surface formula. A1-A20 are aspheric surface coefficients from the first to the twentieth orders for each surface. In addition, the tables for each of the embodiments as follows correspond to the schematic views and the aberration graphs for each of the embodiments. The definitions of data in the tables are the same as those in table 1 and table 2 for the first embodiment. Therefore, similar description shall not be illustrated again. Furthermore, the definitions of element parameters in each of the embodiments are the same as those in the first embodiment.

Second Embodiment

(120) Please refer to FIGS. 2A to 2C. FIG. 2A is a schematic view of the optical image capturing system according to the second embodiment of the present invention. FIG. 2B is a curve diagram illustrating the spherical aberration, astigmatism and optical distortion of the optical image capturing system in order from left to right according to the second embodiment of the present invention. FIG. 2C shows the sagittal fan and the tangential fan of the optical image capturing system and the lateral aberration diagram of the longest operation wavelength and the shortest operation wavelength passing thorough the margin of the aperture at 0.7 field of view according to the second embodiment of the present invention. As shown in FIG. 2A, an optical image capturing system includes, in the order from the object side to the image side, an aperture 200, a first lens 210, a second lens 220, a third lens 230, a fourth lens 240, a fifth lens 250, a sixth lens 260, an IR-cut filter 280, an image plane 290, and an image sensor element 292.

(121) The first lens 210 has positive refractive power and is made of plastic. The object side 212 of the first lens 210 is a convex surface and the image side 214 of the first lens 210 is a concave surface, and the object side 212 and the image side 214 are aspheric. The object side 212 has one inflection points, and the image side 214 has two inflection points.

(122) The second lens 220 has negative refractive power and is made of plastic. The object side 212 of the second lens 220 is a concave surface and the image side 224 of the second lens 220 is a convex surface, and the object side 222 and the image side 224 are aspheric. The object side 222 has one inflection points, and the image side 224 has two inflection points.

(123) 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, and the object side 232 and the image side 234 are both aspheric. The object side 232 has two inflection points, and the image side 234 has two inflection points.

(124) The fourth lens 240 has negative refractive power and is made of plastic. An object side 242 of the fourth lens 240 is a convex surface and an image side 244 of the fourth lens 240 is a concave surface, and the object side 242 and the image side 244 of the fourth lens 240 are both aspheric. The object side 242 has one inflection point, and the image side 244 has one inflection point.

(125) The fifth lens 250 has positive refractive power and is made of plastic. An object side 252 of the fifth lens 250 is a convex surface and an image side 254 of the fifth lens 250 is a concave surface, and the object side 252 and the image side 254 are both aspheric. The object side 252 has one inflection point and the image side 254 has three inflection points.

(126) The sixth lens 260 has negative refractive power and is made of plastic. An object side 262 of the sixth lens 260 is a convex surface and an image side 264 of the sixth lens 260 is a concave surface, and the object side 262 and the image side 264 are both aspheric. The object side 262 has two inflection points and the image side 264 has one inflection point. Hereby, this configuration is beneficial to shorten the back focal length of the optical image capturing system so as to keep the optical image capturing system minimized. Furthermore, the incident angle of the off-axis rays can be effectively reduced, thereby further correcting the off-axis aberration.

(127) The IR-cut filter 280 is made of glass, and disposed between the sixth lens 260 and the image plane 290, and does not affect the focal length of the optical image capturing system.

(128) Please refer to table 3 and table 4

(129) TABLE-US-00004 TABLE 3 Lens Parameters for the Second Embodiment f = 8.535 mm; f/HEP = 0.900; HAF = 20.840 deg Refractive Dispersion Focal Surface Curvature Radius Thickness (mm) Material index coefficient length 0 Object 1E+18 1E+18 1 Aperture 1E+18 0.000 2 Lens 1 6.461107611 1.232 Plastic 1.661 20.39 18.6717 3 12.40683056 0.922 4 Lens 2 −27.11277128 1.767 Plastic 1.661 20.39 80.8068 5 −18.50717489 0.871 6 Lens 3 −13.1451833 0.740 Plastic 1.544 56.09 29.2257 7 −7.350236389 0.050 8 Lens 4 4.657128916 1.763 Plastic 1.544 56.09 −13.6478 9 2.482579979 0.880 10 Lens 5 3.64520872 1.587 Plastic 1.544 56.09 7.00619 11 65.81386432 1.345 12 Lens 6 30.90815247 1.018 Plastic 1.661 20.39 −11.6087 13 6.108847017 0.287 14 IR-cut filter 1E+18 0.215 BK_7 1.517 64.13 15 1E+18 0.984 16 Image plane 1E+18 0.016 Reference wavelength = 940 nm; Shield position: The clear aperture of the sixth surface is 4.495 mm. The clear aperture of the seventh surface is 4.496 mm. The clear aperture of the tenth surface is 3.500 mm. The clear aperture of the thirteenth surface is 3.300 mm.

(130) Table 4 is the aspheric coefficients of the second embodiment

(131) TABLE-US-00005 TABLE 4 Aspheric Coefficients Surface 2 3 4 5 6 7 8 k −5.413423E+00  −1.367076E+01 −4.399592E+00 3.459240E+00 −2.907024E+01 −1.987478E+01  −5.952043E−01  A4 6.344488E−04 −3.914899E−03 −4.984335E−03 −5.633763E−03  −7.209639E−03 2.346609E−03 1.213925E−03 A6 −1.188617E−04   3.398810E−04  9.351221E−04 1.306325E−03  2.176339E−03 −1.685381E−04  −4.984115E−04  A8 1.213143E−05 −1.893663E−05 −6.598803E−05 −1.203856E−04  −3.026713E−04 −1.363340E−05  2.366088E−05 A10 −1.275356E−06   1.719783E−06  3.222872E−06 6.565375E−06  2.573724E−05 3.089597E−06 7.567020E−07 A12 8.034150E−08 −1.216921E−07 −1.252157E−07 −2.406344E−07  −1.277364E−06 −1.287551E−07  −7.613454E−08  A14 −2.264549E−09   4.628093E−09  3.083285E−09 5.459738E−09  3.430150E−08 4.628624E−10 1.082529E−09 A16 2.200776E−11 −6.731543E−11 −3.172335E−11 −5.659393E−11  −3.930302E−10 3.448304E−11 2.710412E−12 A18 0.000000E+00  0.000000E+00  0.000000E+00 0.000000E+00  0.000000E+00 0.000000E+00 0.000000E+00 custom character 9 10 11 12 13 k −3.685211E+00 −4.740415E+00  3.880347E+01 7.629883E+01 −3.118108E+00  A4 −5.663211E−04 2.567170E−03 −3.047128E−03  −2.141173E−02  −1.569294E−02  A6  1.184151E−03 4.684468E−04 6.499484E−04 1.874208E−03 1.095788E−03 A8 −3.691551E−04 −1.892229E−04  8.453169E−05 −4.161893E−05  1.451359E−04 A10  4.076676E−05 4.351701E−05 −3.181849E−05  −5.121709E−06  −4.933765E−05  A12 −2.298783E−06 −6.952632E−06  3.558317E−06 6.862672E−07 6.262312E−06 A14  6.726912E−08 5.190046E−07 −2.045071E−07  −4.373721E−08  −3.963826E−07  A16 −8.164502E−10 −1.416218E−08  6.913686E−09 1.770992E−09 1.013644E−08 A18  0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00

(132) In the second embodiment, the aspheric surface formula is presented in the same way in the first embodiment. In addition, the definitions of parameters in following tables are the same as those in the first embodiment. Therefore, similar description shall not be illustrated again.

(133) The values stated as follows can be obtained according to table 3 and table 4.

(134) TABLE-US-00006 Second embodiment (Reference wavelength = 940 nm) |f/f1| |f/f2| |f/f3| |f/f4| |f/f5| |f/f6| 0.45710 0.10562 0.29203 0.62536 1.21818 0.73521 ΣPPR ΣNPR ΣPPR/|ΣNPR| IN12/f IN56/f TP4/(IN34 + TP4 + IN45) 2.59267 0.84083 3.08348 0.10808 0.15754 0.65475 |f1/f2| |f2/f3| (TP1 + IN12)/TP2 (TP6 + IN56)/TP5 0.23107 2.76492 1.21911 1.48890 HOS InTL HOS/HOI InS/HOS ODT % TDT % 13.40800  12.17460  4.06303 0.91134 1.38733 0.46004 HVT51 HVT52 HVT61 HVT62 HVT62/HOI HVT62/HOS 3.22075 0     0.63665 2.10327 0.63735 0.15687 TP2/TP3 TP3/TP4 InRS61 InRS62 |InRS61|/TP6 |InRS62|/TP6 2.38684 0.41989 −0.53241  0.08875 0.52312 0.08720 PSTA PLTA NSTA NLTA SSTA SLTA −0.043 mm 0.013 mm 0.034 mm 0.002 mm −0.115 mm −0.057 mm IN12 IN23 IN34 IN45 IN56  0.922 mm 0.871 mm 0.050 mm 0.880 mm  1.345 mm

(135) The values related to arc lengths can be obtained according to table 3 and table 4.

(136) TABLE-US-00007 Second embodiment (Reference wavelength = 940 nm) ARE ½(HXP) ARE value ARE − ½(HXP) 2(ARE/HXP) % TP ARE/TP (%) 11 4.692 4.866 0.174 103.70% 1.232 394.98% 12 4.564 4.702 0.138 103.02% 1.232 381.71% 21 4.672 4.698 0.026 100.57% 1.767 265.87% 22 4.692 4.751 0.059 101.26% 1.767 268.86% 31 4.495 4.554 0.059 101.32% 0.740 615.12% 32 4.496 4.525 0.029 100.65% 0.740 611.17% 41 4.248 4.613 0.365 108.60% 1.763 261.64% 42 4.024 4.222 0.198 104.93% 1.763 239.45% 51 3.500 3.673 0.173 104.95% 1.587 231.52% 52 3.203 3.271 0.068 102.13% 1.587 206.19% 61 3.323 3.406 0.083 102.50% 1.018 334.68% 62 3.300 3.307 0.007 100.20% 1.018 324.88% ARS EHD ARS value ARS − EHD (ARS/EHD)% TP ARS/TP (%) 11 4.700 4.876 0.176 103.73% 1.232 395.78% 12 4.564 4.702 0.138 103.02% 1.232 381.71% 21 4.672 4.698 0.026 100.57% 1.767 265.87% 22 4.823 4.906 0.082 101.71% 1.767 277.60% 31 4.495 4.554 0.059 101.32% 0.740 615.12% 32 4.496 4.525 0.029 100.65% 0.740 611.17% 41 4.248 4.613 0.365 108.60% 1.763 261.64% 42 4.024 4.222 0.198 104.93% 1.763 239.45% 51 3.500 3.673 0.173 104.95% 1.587 231.52% 52 3.203 3.271 0.068 102.13% 1.587 206.19% 61 3.323 3.406 0.083 102.50% 1.018 334.68% 62 3.300 3.307 0.007 100.20% 1.018 324.88%

(137) The values stated as follows can be obtained according to table 3 and table 4.

(138) TABLE-US-00008 Values Related to Inflection Point of Second Embodiment (Primary Reference Wavelength = 940 nm) HIF111 4.6333 HIF111/HOI 1.4040 SGI111 1.1595 |SGI111|/(|SGI111| + TP1) 0.4849 HIF121 1.4901 HIF121/HOI 0.4515 SGI121 0.0698 |SGI121|/(|SGI121| + TP1) 0.0536 HIF122 2.3285 HIF122/HOI 0.7056 SGI122 0.1267 |SGI122|/(|SGI122| + TP1) 0.0932 HIF211 2.0184 HIF211/HOI 0.6116 SGI211 −0.1094 |SGI211|/(|SGI211| + TP2) 0.0583 HIF221 2.0721 HIF221/HOI 0.6279 SGI221 −0.1508 |SGI221|/(|SGI221| + TP2) 0.0786 HIF222 3.2728 HIF222/HOI 0.9918 SGI222 −0.2851 |SGI222|/(|SGI222| + TP2) 0.1389 HIF311 1.8617 HIF311/HOI 0.5642 SGI311 −0.1460 |SGI311|/(|SGI311| + TP3) 0.1647 HIF312 4.1984 HIF312/HOI 1.2722 SGI312 −0.0378 |SGI312|/(|SGI312| + TP3) 0.0486 HIF321 1.9868 HIF321/HOI 0.6021 SGI321 −0.1859 |SGI321|/(|SGI321| + TP3) 0.2007 HIF322 4.0299 HIF322/HOI 1.2212 SGI322 −0.2351 |SGI322|/(|SGI322| + TP3) 0.2410 HIF411 3.7528 HIF411/HOI 1.1372 SGI411 1.3548 |SGI411|/(|SGI411| + TP4) 0.4345 HIF421 1.9610 HIF421/HOI 0.5942 SGI421 0.5936 |SGI421|/(|SGI421| + TP4) 0.2519 HIF511 2.2983 HIF511/HOI 0.6964 SGI511 0.6345 |SGI511|/(|SGI511| + TP5) 0.2857 HIF521 0.8879 HIF521/HOI 0.2691 SGI521 0.0044 |SGI521|/(|SGI521| + TP5) 0.0028 HIF522 0.8882 HIF522/HOI 0.2691 SGI522 0.0045 |SGI522|/(|SGI522| + TP5) 0.0028 HIF523 0.9267 HIF523/HOI 0.2808 SGI523 0.0047 |SGI523|/(|SGI523| + TP5) 0.0030 HIF611 0.3629 HIF611/HOI 0.1100 SGI611 0.0018 |SGI611|/(|SGI611| + TP6) 0.0017 HIF612 2.5487 HIF612/HOI 0.7723 SGI612 −0.3628 |SGI612|/(|SGI612| + TP6) 0.2628 HIF621 0.9988 HIF621/HOI 0.3027 SGI621 0.0661 |SGI621|/(|SGI621| + TP6) 0.0610

Third Embodiment

(139) Please refer to FIGS. 3A to 3 C. FIG. 3A is a schematic view of the optical image capturing system according to the third embodiment of the present invention. FIG. 3B is a curve diagram illustrating the spherical aberration, astigmatism and optical distortion of the optical image capturing system in order from left to right according to the third embodiment of the present invention. FIG. 3C shows the sagittal fan and the tangential fan of the optical image capturing system and the lateral aberration diagram of the longest operation wavelength and the shortest operation wavelength passing thorough the margin of the aperture at 0.7 field of view according to the third embodiment of the present invention. As shown in FIG. 3A, an optical image capturing system includes, in the order from the object side to the image side, a first lens 310, a second lens 320, an aperture 300, a third lens 330, a fourth lens 340, a fifth lens 350, a sixth lens 360, an IR-cut filter 380, an image plane 390, and an image sensor element 392.

(140) The first lens 310 has positive refractive power and is made of plastic. The object side 312 of the first lens 310 is a concave surface and the image side 314 of the first lens 310 is a convex surface. The object side 312 and the image side 314 are aspheric. The object side 312 has one inflection point, and the image side 314 has one inflection point.

(141) The second lens 320 has negative refractive power and is made of plastic. The object side 322 of the second lens 320 is a concave surface and the image side 324 of the second lens 320 is a convex surface, and the object side 322 and the image side 324 are aspheric. The object side 322 has one inflection point, and the image side 324 has one inflection point.

(142) The third lens 330 has negative refractive power and is made of plastic. An object side 332 of the third lens is a concave surface and an image side 334 of the third lens 330 is a concave surface, and the object side 332 and the image side 334 are both aspheric. The object side 332 has one inflection point, and the image side 334 has three inflection points.

(143) The fourth lens 340 has positive refractive power and is made of plastic. An object side 342 of the fourth lens 340 is a convex surface and an image side 344 of the fourth lens 340 is a concave surface, and the object side 342 and the image side 344 are both aspheric. The object side 342 has one inflection point, and the image side 344 has one inflection point.

(144) The fifth lens 350 has positive refractive power and is made of plastic. An object side 352 of the fifth lens 350 is a convex surface and an image side 354 of the fifth lens is a concave surface, and the object side 352 and the image side 354 are both aspheric. The object side 352 has two inflection points and the image side 354 has two inflection points.

(145) The sixth lens 360 has negative refractive power and is made of plastic. An object side 362 of the sixth lens 360 is a concave surface and an image side 364 of the sixth lens 360 is a concave surface, and the object side 362 and the image side 364 are both aspheric. The object side 362 has two inflection points and the image side 364 has one inflection point. Hereby, this configuration is beneficial to shorten the back focal length of the optical image capturing system so as to keep the optical image capturing system minimized. Furthermore, the incident angle of the off-axis rays can be effectively reduced, thereby further correcting the off-axis aberration.

(146) The IR-cut filter 380 is made of glass, and disposed between the sixth lens 360 and the image plane 390, and does not affect the focal length of the optical image capturing system.

(147) Please refer to table 5 and table 6

(148) TABLE-US-00009 TABLE 5 Lens Parameters for the Third Embodiment f = 6.569 mm; f/HEP = 0.920; HAF = 26.708 deg Refractive Dispersion Focal Surface Curvature Radius Thickness(mm) Material index coefficient length 0 Object 1E+18 1E+18 1 Lens 1 −286.176153 1.236 Plastic 1.661 20.39 11.8795 2 −7.721287201 0.946 3 Lens 2 −2.51806736 1.228 Plastic 1.544 56.09 −37.3509 4 −3.367674383 0.110 5 Aperture 1E+18 0.150 6 Lens 3 −31.19752491 1.499 Plastic 1.544 56.09 −31.848 7 39.93185327 0.050 8 Lens 4 2.46771561 1.424 Plastic 1.636 23.89 13.2024 9 2.69998434 0.939 10 Lens 8.215038525 2.000 Plastic 1.661 20.39 8.97916 11 −19.92889146 1.670 12 Lens −20.04039353 0.578 Plastic 1.661 20.39 −15.4323 13 21.39485723 0.184 14 IR-cut filter 1E+18 0.215 BK_7 1.517 64.13 15 1E+18 1.000 16 Image plane 1E+18 0.000 Reference wavelength = 940 nm; Shield position: The clear aperture of the first surface is 4.800 mm. The clear aperture of the seventh surface is 4.320 mm. The clear aperture of the thirteenth surface is 2.895 mm.

(149) Table 6 is the aspheric coefficients of the third embodiment

(150) TABLE-US-00010 TABLE 6 Aspheric Coefficients Surface 1 2 3 4 6 7 8 k −8.999995E+01 1.513467E+00 −4.423597E+00  −1.246043E+00  −8.735500E+01 7.593712E+01 −1.043847E+00 A4 −2.232222E−03 2.824364E−03 −4.049923E−03  3.873651E−04 −4.552374E−03 −4.156709E−03  −6.036640E−03 A6 −3.177984E−04 −8.809813E−04  2.045406E−04 5.315927E−04  1.753877E−03 3.123805E−04  8.994058E−04 A8  2.837004E−05 1.309364E−04 7.054000E−06 −1.001653E−04  −2.515427E−04 3.377953E−05 −1.395808E−04 A10  2.296343E−07 −1.068233E−05  2.566288E−07 1.124267E−05  2.548258E−05 −6.288601E−06   2.175766E−05 A12 −9.193339E−08 5.946634E−07 −5.524263E−08  −6.637517E−07  −1.630905E−06 4.301172E−07 −2.582705E−06 A14  3.439785E−09 −1.913068E−08  2.089660E−09 1.952121E−08  5.744753E−08 −1.571968E−08   1.653099E−07 A16 −4.110632E−11 2.616075E−10 −2.523023E−11  −2.240810E−10  −8.539584E−10 2.330868E−10 −4.242923E−09 A18  0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00  0.000000E+00 0.000000E+00  0.000000E+00 Surface 9 10 11 12 13 k −5.185989E+00  −8.986136E+01  −3.046190E+01   4.544671E+01 1.113374E+01 A4 2.225092E−02 1.896790E−02 7.056785E−03 −2.098379E−03 −3.289258E−03  A6 −4.744928E−03  −5.191707E−03  −2.106317E−03  −7.333804E−04 −6.167365E−04  A8 1.011327E−03 1.708666E−03 1.619938E−03 −6.657548E−05 7.932477E−05 A10 −1.411197E−04  −3.280140E−04  −4.973992E−04   1.278747E−04 2.534089E−05 A12 1.014399E−05 3.718913E−05 8.619483E−05 −3.044980E−05 −7.529364E−06  A14 −3.614530E−07  −2.300525E−06  −7.264910E−06   3.054921E−06 7.501540E−07 A16 5.173364E−09 5.796564E−08 2.242319E−07 −1.131000E−07 −2.684113E−08  A18 0.000000E+00 0.000000E+00 0.000000E+00  0.000000E+00 0.000000E+00

(151) In the third embodiment, the aspheric surface formula is presented in the same way in the first embodiment. In addition, the definitions of parameters in following tables are the same as those in the first embodiment. Therefore, similar description shall not be illustrated again.

(152) The values stated as follows can be obtained according to table 5 and table 6.

(153) TABLE-US-00011 Third embodiment (Reference wavelength = 940 nm) |f/f1| |f/f2| |f/f3| |f/f4| |f/f5| |f/f6| 0.55294 0.17586 0.20625 0.49753 0.73154 0.42564 ΣPPR ΣNPR ΣPPR/|ΣNPR| IN12/f IN56/f TP4/(IN34 + TP4 + IN45) 1.98825 0.60150 3.30548 0.14398 0.25424 0.58993 |f1/f2| |f2/f3| (TP1 + IN12)/TP2 (TP6 + IN56)/TP5 0.31805 1.17279 1.77675 1.12417 HOS InTL HOS/HOI InS/HOS ODT % TDT % 12.84390  11.83170  3.89209 0.72589 −0.43781  0.29288 HVT51 HVT52 HVT61 HVT62 HVT62/HOI HVT62/HOS 0     1.31747 0     1.69760 0.51442 0.13217 TP2/TP3 TP3/TP4 InRS61 InRS62 |InRS61|/TP6 |InRS62|/TP6 0.81960 1.05219 −0.40797  −0.05910  0.70543 0.10218 PSTA PLTA NSTA NLTA SSTA SLTA 0.024 mm 0.057 mm 0.040 mm −0.002 mm 0.069 mm 0.069 mm IN12 IN23 IN34 IN45 IN56 0.946 mm 0.260 mm 0.050 mm  0.939 mm 1.670 mm

(154) The values related to arc lengths can be obtained according to table 5 and table 6.

(155) TABLE-US-00012 Third embodiment (Reference wavelength = 940 nm) ARE ½(HXP) ARE value ARE − ½(HXP) 2(ARE/HXP) % TP ARE/TP (%) 11 3.832 3.902 0.070 101.82% 1.236 315.59% 12 3.832 3.951 0.119 103.10% 1.236 319.57% 21 3.832 4.152 0.320 108.35% 1.228 338.09% 22 3.832 4.164 0.332 108.67% 1.228 339.07% 31 3.832 3.907 0.075 101.96% 1.499 260.75% 32 3.832 3.836 0.004 100.11% 1.499 256.02% 41 3.650 4.299 0.649 117.79% 1.424 301.89% 42 3.637 4.083 0.446 112.26% 1.424 286.67% 51 3.425 3.819 0.394 111.50% 2.000 190.96% 52 2.934 3.208 0.274 109.34% 2.000 160.41% 61 2.895 2.940 0.044 101.53% 0.578 508.31% 62 3.069 3.073 0.004 100.14% 0.578 531.43% ARS EHD ARS value ARS − EHD (ARS/EHD)% TP ARS/TP (%) 11 4.800 4.901 0.101 102.11% 1.236 396.43% 12 4.578 4.738 0.160 103.49% 1.236 383.22% 21 4.669 5.079 0.410 108.78% 1.228 413.54% 22 4.503 4.847 0.344 107.64% 1.228 394.66% 31 4.315 4.449 0.133 103.09% 1.499 296.86% 32 4.320 4.341 0.021 100.48% 1.499 289.71% 41 3.650 4.299 0.649 117.79% 1.424 301.89% 42 3.637 4.083 0.446 112.26% 1.424 286.67% 51 3.425 3.819 0.394 111.50% 2.000 190.96% 52 2.934 3.208 0.274 109.34% 2.000 160.41% 61 2.895 2.940 0.044 101.53% 0.578 508.31% 62 3.069 3.073 0.004 100.14% 0.578 531.43%

(156) The values stated as follows can be obtained according to table 5 and table 6.

(157) TABLE-US-00013 Values Related to Inflection Point of Third Embodiment (Primary Reference Wavelength = 940 nm) HIF111 3.5555 HIF111/HOI 1.0774 SGI111 −0.4467 |SGI111|/(|SGI111| + TP1) 0.2654 HIF121 2.9552 HIF121/HOI 0.8955 SGI121 −0.5840 |SGI121|/(|SGI121| + TP1) 0.3208 HIF211 2.5690 HIF211/HOI 0.7785 SGI211 −0.9403 |SGI211|/(|SGI211| + TP2) 0.4336 HIF221 2.7051 HIF221/HOI 0.8197 SGI221 −0.9505 |SGI221|/(|SGI221| + TP2) 0.4363 HIF311 1.4581 HIF311/HOI 0.4418 SGI311 −0.0405 |SGI311|/(|SGI311| + TP3) 0.0263 HIF321 0.7738 HIF321/HOI 0.2345 SGI321 0.0061 |SGI321|/(|SGI321| + TP3) 0.0041 HIF322 1.9265 HIF322/HOI 0.5838 SGI322 0.0104 |SGI322|/(|SGI322| + TP3) 0.0069 HIF323 3.4178 HIF323/HOI 1.0357 SGI323 0.0751 |SGI323|/(|SGI323| + TP3) 0.0477 HIF411 3.0644 HIF411/HOI 0.9286 SGI411 1.6243 |SGI411|/(|SGI411| + TP4) 0.5328 HIF421 2.4357 HIF421/HOI 0.7381 SGI421 1.0737 |SGI421|/(|SGI421| + TP4) 0.4299 HIF511 2.8810 HIF511/HOI 0.8730 SGI511 0.9749 |SGI511|/(|SGI511| + TP5) 0.3277 HIF512 3.3851 HIF512/HOI 1.0258 SGI512 1.3562 |SGI512|/(|SGI512| + TP5) 0.4041 HIF521 0.8081 HIF521/HOI 0.2449 SGI521 −0.0135 |SGI521|/(|SGI521| + TP5) 0.0067 HIF522 2.7532 HIF522/HOI 0.8343 SGI522 0.5681 |SGI522|/(|SGI522| + TP5) 0.2212 HIF611 2.5218 HIF611/HOI 0.7642 SGI611 −0.2935 |SGI611|/(|SGI611| + TP6) 0.3366 HIF612 2.6492 HIF612/HOI 0.8028 SGI612 −0.3276 |SGI612|/(|SGI612| + TP6) 0.3616 HIF621 0.9687 HIF621/HOI 0.2936 SGI621 0.0187 |SGI621|/(|SGI621| + TP6) 0.0314

Fourth Embodiment

(158) Please refer to FIGS. 4A to 4C. FIG. 4A is a schematic view of the optical image capturing system according to the fourth embodiment of the present invention. FIG. 4B is a curve diagram illustrating the spherical aberration, astigmatism and optical distortion of the optical image capturing system in order from left to right according to the fourth embodiment of the present invention. FIG. 4C shows the sagittal fan and the tangential fan of the optical image capturing system and the lateral aberration diagram of the longest operation wavelength and the shortest operation wavelength passing thorough the margin of the aperture at 0.7 field of view according to the fourth embodiment of the present invention. As shown in FIG. 4A, an optical image capturing system includes, in the order from the object side to the image side, a first lens 410, an aperture 400, a second lens 420, a third lens 430, a fourth lens 440, a fifth lens 450, a sixth lens 460, an IR-cut filter 480, an image plane 490, and an image sensor element 492.

(159) The first lens 410 has negative refractive power and is made of plastic. The object side 412 of the first lens 410 is a concave surface and the image side 414 of the first lens 410 is a convex surface, and the object side 412 and the image side 414 are aspheric. The object side 412 has one inflection point, and the image side 414 has one inflection point.

(160) The second lens 420 has positive refractive power and is made of plastic. The object side 422 of the second lens 420 is a convex surface and the image side 424 of the second lens 420 is a convex surface, and the object side 422 and the image side 424 are aspheric. The object side 422 has one inflection point.

(161) 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, and the object side 432 and the image side 434 are both aspheric. The object side 432 has two inflection points.

(162) The fourth lens 440 has positive refractive power and is made of plastic. An object side 442 of the fourth lens 440 is a convex surface and an image side 444 of the fourth lens 440 is a concave surface, and the object side 442 and the image side 444 are both aspheric. The object side 442 has one inflection point, and the image side 444 has one inflection point.

(163) The fifth lens 450 has positive refractive power and is made of plastic. An object side 452 of the fifth lens 450 is a convex surface and an image side 454 of the fifth lens 450 is a convex surface, and the object side 452 and the image side 454 are both aspheric. The object side 452 has one inflection point and the image side 454 has one inflection point.

(164) The sixth lens 460 has negative refractive power and is made of plastic. An object side 462 of the sixth lens 460 is a convex surface and an image side 464 of the sixth lens 460 is a concave surface, and the object side 462 and the image side 464 are both aspheric. The object side 462 has one inflection point and the image side 464 has two inflection points. Hereby, this configuration is beneficial to shorten the back focal length of the optical image capturing system so as to keep the optical image capturing system minimized. Furthermore, the incident angle of the off-axis rays can be effectively reduced, thereby further correcting the off-axis aberration.

(165) The IR-cut filter 480 is made of glass, and disposed between the sixth lens 460 and the image plane 490, and does not affect the focal length of the optical image capturing system.

(166) Please refer to table 7 and table 8

(167) TABLE-US-00014 TABLE 7 Lens Parameters for the Fourth Embodiment f = 5.519 mm; f/HEP = 0.900; HAF = 30.884 deg Refractive Dispersion Focal Surface Curvature Radius Thickness(mm) Material index coefficient length 0 Object 1E+18 1E+18 1 −3.937866915 0.723 2 Lens 1 −4.908985924 0.466 Plastic 1.661 20.39 −43.2187 3 Aperture 1E+18 −0.041 4 Lens 2 12.83038777 1.587 Plastic 1.544 56.09 10.2596 5 −9.369468102 0.523 6 Lens 3 −2.802869661 1.647 Plastic 1.544 56.09 −13.3697 7 −5.518273782 0.051 8 Lens 4 2.79905515 1.694 Plastic 1.636 23.89 9.21497 9 4.152141218 1.749 10 Lens 23.75143267 1.461 Plastic 1.636 23.89 9.25734 11 −7.522604497 0.669 12 Lens 2.304576898 0.500 Plastic 1.661 20.39 −17.3989 13 1.751594301 0.756 14 IR-cut filter 1E+18 0.215 BK_7 1.517 64.13 15 1E+18 1.000 16 Image plane 1E+18 0.000 17 1E+18 0.000 Reference wavelength = 940 nm; Shield position: The clear aperture of the first surface is 4.500 mm. The clear aperture of the seventh surface is 4.227 mm. The clear aperture of the thirteenth surface is 3.179 mm.

(168) Table 8 is the aspheric coefficients of the fourth embodiment

(169) TABLE-US-00015 TABLE 8 Aspheric Coefficients Surface 1 3 4 5 6 7 8 k −6.969663E+00  −1.455843E+01  1.089611E+01 −8.771852E+00 −4.861907E+00 2.166921E−01 −8.879591E−01 A4 1.241311E−02 1.923792E−02 8.552337E−03 −1.041222E−02 −1.082072E−03 4.822054E−03 −7.444203E−03 A6 −1.376522E−03  −2.175868E−03  −4.070408E−03   2.482913E−03  1.613321E−03 −6.472117E−04   7.578004E−04 A8 6.479285E−05 2.826074E−04 1.034926E−03 −2.731003E−04 −2.961102E−04 3.282688E−05 −1.079206E−04 A10 2.400101E−06 −4.629218E−05  −1.726774E−04   2.112799E−05  3.395635E−05 1.532163E−06  8.767416E−06 A12 −4.698208E−07  5.522059E−06 1.681616E−05 −1.713063E−06 −2.324017E−06 −2.672699E−07  −3.709301E−07 A14 2.294090E−08 −3.556002E−07  −9.230758E−07   9.482883E−08  8.516977E−08 1.339047E−08  7.241891E−09 A16 −3.827857E−10  9.321811E−09 2.152569E−08 −2.136795E−09 −1.307674E−09 −2.546122E−10  −4.484248E−11 A18 0.000000E+00 0.000000E+00 0.000000E+00  0.000000E+00  0.000000E+00 0.000000E+00  0.000000E+00 Surface 9 10 11 12 13 k −6.869961E+00  −8.998805E+01  1.534144E+00 −2.010337E+00  −1.887541E+00 A4 9.897360E−03 4.238466E−03 −5.472651E−03  −5.218653E−02  −4.841193E−02 A6 −1.360599E−03  4.823535E−04 5.092556E−03 9.247086E−03  1.094720E−02 A8 6.871040E−05 −2.285842E−04  −1.439924E−03  −1.347384E−03  −1.899082E−03 A10 −2.893877E−06  5.647977E−05 2.703547E−04 1.219546E−04  2.266739E−04 A12 1.485536E−07 −7.397567E−06  −3.039073E−05  −5.479416E−06  −1.731271E−05 A14 −5.303933E−09  5.091571E−07 1.904514E−06 6.825375E−08  7.777792E−07 A16 7.620834E−11 −1.446630E−08  −5.001011E−08  2.163542E−09 −1.564610E−08 A18 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00  0.000000E+00

(170) In the fourth embodiment, the aspheric surface formula is presented in the same way in the first embodiment. In addition, the definitions of parameters in following tables are the same as those in the first embodiment. Therefore, similar description shall not be illustrated again.

(171) The values stated as follows can be obtained according to table 7 and table 8.

(172) TABLE-US-00016 Fourth embodiment (Reference wavelength = 940 nm) |f/f1| |f/f2| |f/f3| |f/f4| |f/f5| |f/f6| 0.12771 0.53796 0.41282 0.59894 0.59620 0.31722 ΣPPR ΣNPR ΣPPR/|ΣNPR| IN12/f IN56/f TP4/(IN34 + TP4 + IN45) 1.73567 0.85518 2.02960 0.07700 0.12115 0.48484 |f1/f2| |f2/f3| (TP1 + IN12)/TP2 (TP6 + IN56)/TP5 4.21251 0.76738 0.72387 0.79968 HOS InTL HOS/HOI InS/HOS ODT % TDT % 12.86240  11.02920  3.89770 0.90754 −0.32521  0.31600 HVT51 HVT52 HVT61 HVT62 HVT62/HOI HVT62/HOS 0     2.39538 1.77451 2.72908 0.82699 0.21218 TP2/TP3 TP3/TP4 InRS61 InRS62 |InRS61|/TP6 |InRS62|/TP6 0.96315 0.97251 −0.08735  0.60284 0.17470 1.20568 PSTA PLTA NSTA NLTA SSTA SLTA −0.052 mm 0.015 mm 0.025 mm 0.008 mm −0.038 mm 0.011 mm IN12 IN23 IN34 IN45 IN56  0.425 mm 0.523 mm 0.051 mm 1.749 mm  0.669 mm

(173) The values related to arc lengths can be obtained according to table 7 and table 8.

(174) TABLE-US-00017 Fourth embodiment (Reference wavelength = 940 nm) ARE ½(HXP) ARE value ARE − ½(HXP) 2(ARE/HXP)% TP ARE/TP (%) 11 3.162 3.183 0.021 100.67% 0.723 439.95% 12 3.162 3.224 0.062 101.97% 0.723 445.66% 21 3.162 3.211 0.049 101.56% 1.587 202.40% 22 3.162 3.236 0.074 102.34% 1.587 203.94% 31 3.162 3.254 0.092 102.92% 1.647 197.55% 32 3.162 3.314 0.153 104.82% 1.647 201.20% 41 3.162 3.493 0.331 110.48% 1.694 206.23% 42 3.162 3.313 0.151 104.78% 1.694 195.58% 51 3.162 3.296 0.134 104.24% 1.461 225.53% 52 3.112 3.204 0.092 102.97% 1.461 219.26% 61 3.032 3.149 0.117 103.85% 0.500 629.73% 62 3.162 3.245 0.083 102.63% 0.500 648.95% ARS EHD ARS value ARS − EHD (ARS/EHD)% TP ARS/TP (%) 11 4.500 4.696 0.196 104.36% 0.723 649.16% 12 3.274 3.351 0.077 102.34% 0.723 463.14% 21 3.222 3.291 0.068 102.12% 1.587 207.41% 22 3.615 3.775 0.159 104.41% 1.587 237.92% 31 4.013 4.109 0.095 102.38% 1.647 249.43% 32 4.227 4.665 0.437 110.35% 1.647 283.17% 41 4.100 4.598 0.498 112.16% 1.694 271.48% 42 4.022 4.180 0.159 103.95% 1.694 246.81% 51 3.395 3.586 0.190 105.60% 1.461 245.35% 52 3.112 3.204 0.092 102.97% 1.461 219.26% 61 3.032 3.149 0.117 103.85% 0.500 629.73% 62 3.179 3.262 0.083 102.61% 0.500 652.35%

(175) The values stated as follows can be obtained according to table 7 and table 8.

(176) TABLE-US-00018 Values Related to Inflection Point of Fourth Embodiment (Primary Reference Wavelength = 940 nm) HIF111 1.1631 HIF111/HOI 0.3524 SGI111 −0.1343 |SGI111|/(|SGI111| + TP1) 0.1566 HIF121 0.8100 HIF121/HOI 0.2455 SGI121 −0.0539 |SGI121|/(|SGI121| + TP1) 0.0693 HIF211 1.9632 HIF211/HOI 0.5949 SGI211 0.1824 |SGI211|/(|SGI211| + TP2) 0.1031 HIF311 1.5923 HIF311/HOI 0.4825 SGI311 −0.3519 |SGI311|/(|SGI311| + TP3) 0.1760 HIF312 3.6547 HIF312/HOI 1.1075 SGI312 −0.6698 |SGI312|/(|SGI312| + TP3) 0.2891 HIF411 3.0631 HIF411/HOI 0.9282 SGI411 1.2987 |SGI411|/(|SGI411| + TP4) 0.4340 HIF421 2.2207 HIF421/HOI 0.6729 SGI421 0.5619 |SGI421|/(|SGI421| + TP4) 0.2491 HIF511 3.2155 HIF511/HOI 0.9744 SGI511 0.7182 |SGI511|/(|SGI511| + TP5) 0.3295 HIF521 1.5541 HIF521/HOI 0.4709 SGI521 −0.1572 |SGI521|/(|SGI521| + TP5) 0.0971 HIF611 0.8846 HIF611/HOI 0.2681 SGI611 0.1359 |SGI611|/(|SGI611| + TP6) 0.2137 HIF621 1.0848 HIF621/HOI 0.3287 SGI621 0.2590 |SGI621|/(|SGI621| + TP6) 0.3412 HIF622 2.9049 HIF622/HOI 0.8803 SGI622 0.6041 |SGI622|/(|SGI622| + TP6) 0.5471

Fifth Embodiment

(177) Please refer to FIGS. 5A to 5C. FIG. 5A is a schematic view of the optical image capturing system according to the fifth embodiment of the present invention. FIG. 5B is a curve diagram illustrating the spherical aberration, astigmatism and optical distortion of the optical image capturing system in order from left to right according to the fifth embodiment of the present invention. FIG. 5C shows the sagittal fan and the tangential fan of the optical image capturing system and the lateral aberration diagram of the longest operation wavelength and the shortest operation wavelength passing thorough the margin of the aperture at 0.7 field of view according to the fifth embodiment of the present invention. As shown in FIG. 5A, an optical image capturing system includes, in the order from the object side to the image side, a first lens 510, an aperture 500, a second lens 520, a third lens 530, a fourth lens 540, a fifth lens 550, a sixth lens 560, an IR-cut filter 580, an image plane 590, and an image sensor element 592.

(178) The first lens 510 has negative refractive power and is made of plastic. The object side 512 of the first lens 510 is a concave surface and the image side 514 of the first lens 510 is a convex surface, and the object side 512 and the image side 514 are aspheric. The object side 512 has one inflection point, and the image side 514 has one inflection point.

(179) The second lens 520 has negative refractive power and is made of plastic. The object side 522 of the second lens 520 is a convex surface and the image side 524 of the second lens 520 is a convex surface, and the object side 522 and the image side 524 are aspheric. The object side 522 has one inflection point.

(180) 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, and the object side 532 and the image side 534 are both aspheric. The object side 532 has two inflection points.

(181) The fourth lens 540 has negative refractive power and is made of plastic. An object side 542 of the fourth lens 540 is a convex surface and an image side 544 of the fourth lens 540 is a concave surface, and the object side 542 and the image side 544 are both aspheric. The object side 542 has two inflection points.

(182) The fifth lens 550 has positive refractive power and is made of plastic. An object side 552 of the fifth lens 550 is a convex surface and an image side 554 of the fifth lens 550 is a convex surface, and the object side 552 and the image side 554 are both aspheric. The object side 552 has one inflection point, and the image side 554 has one inflection point.

(183) The sixth lens 560 has negative refractive power and is made of plastic. An object side 562 of the sixth lens 560 is a convex surface and an image side 564 of the sixth lens is a concave surface, and the object side 562 and the image side 564 are both aspheric. The object side 562 has one inflection point and the image side 564 has two inflection points.

(184) The IR-cut filter 580 is made of glass, and disposed between the sixth lens 560 and the image plane 590, and does not affect the focal length of the optical image capturing system.

(185) Please refer to table 9 and table 10

(186) TABLE-US-00019 TABLE 9 Lens Parameters for the Fifth Embodiment f = 4.522 mm; f/HEP = 0.900; HAF = 36.125 deg Refractive Dispersion Focal Surface Curvature Radius Thickness(mm) Material index coefficient length 0 Object 1E+18 1E+18 1 Lens 1 2.918997565 1.354 Plastic 1.544 56.09 −21.815 2 1.959071692 6.657 3 Aperture 1E+18 0.225 4 Lens 2 −19.64643378 1.304 Plastic 1.544 56.09 −75.376 5 −38.76953601 0.050 6 Lens 3 4.610565171 1.382 Plastic 1.584 29.89 9.884 7 21.16447886 0.050 8 Lens 4 2.678449966 1.392 Plastic 1.544 56.09 −45.311 9 1.973954394 0.697 10 Lens 18.64683181 1.126 Plastic 1.661 20.39 3.225 11 −2.315703079 0.289 12 Lens −4.762447368 2.000 Plastic 1.661 20.39 −10.200 13 −19.51834935 1.008 14 IR-cut filter 1E+18 0.215 BK_7 1.517 64.13 15 1E+18 1.000 16 Image plane 1E+18 0.000 Reference wavelength = 940 nm; Shield position: The clear aperture of the first surface is 4.400 mm. The clear aperture of the seventh surface is 3.353 mm. The clear aperture of the thirteenth surface is 2.790 mm.

(187) Table 10 is the aspheric coefficients of the fifth embodiment

(188) TABLE-US-00020 TABLE 10 Aspheric Coefficients Surface 1 2 4 5 6 7 8 k −1.275092E+00 −7.403754E−01  −3.498661E+01 3.741510E+01 −3.616875E+00  3.124138E+01 −2.886070E+00 A4  4.642533E−03 4.991233E−03 −4.120990E−03 −1.837062E−02  7.444101E−03 2.254389E−02 −2.128325E−03 A6 −1.952056E−04 −3.387053E−04   3.518346E−03 5.556347E−03 9.075395E−05 −2.933699E−03  −1.817658E−03 A8  2.875992E−05 6.332146E−05 −1.026013E−03 −1.484944E−03  −6.788300E−04  −7.122424E−04   3.445056E−04 A10 −2.109577E−06 1.630235E−06  1.773226E−04 2.727064E−04 1.450625E−04 2.201529E−04 −1.221565E−05 A12 −8.027248E−08 −3.709948E−06  −1.731433E−05 −2.879848E−05  −1.447219E−05  −2.435646E−05  −1.246849E−06 A14  9.572475E−09 3.692845E−07  9.028272E−07 1.629838E−06 7.402495E−07 1.280245E−06  9.782015E−08 A16 −1.971050E−10 −1.099990E−08  −1.967182E−08 −3.853274E−08  −1.568701E−08  −2.667580E−08  −1.701189E−09 A18  0.000000E+00 0.000000E+00  0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00  0.000000E+00 Surface 9 10 11 12 13 k −3.739847E+00  −8.999743E+01 −7.607959E+00 −4.860651E+01 −9.000000E+01  A4 5.311735E−03 −7.850892E−03 −2.534851E−03  3.815571E−02 1.755141E−02 A6 −4.686162E−03   8.536982E−03  1.018637E−02 −4.187939E−03 −3.496749E−03  A8 1.025143E−03 −2.287956E−03 −2.696109E−03 −4.367907E−04 1.275265E−03 A10 −1.564739E−04   2.655727E−04  3.226481E−04  2.212842E−04 −2.492447E−04  A12 1.478364E−05 −1.448777E−05 −1.903174E−05 −3.450517E−05 2.700923E−05 A14 −7.404087E−07   3.205417E−07  5.035851E−07  2.590540E−06 −1.707855E−06  A16 1.502071E−08 −6.963677E−10 −4.137214E−09 −8.113306E−08 5.078612E−08 A18 0.000000E+00  0.000000E+00  0.000000E+00  0.000000E+00 0.000000E+00

(189) In the fifth embodiment, the aspheric surface formula is presented in the same way in the first embodiment. In addition, the definitions of parameters in following tables are the same as those in the first embodiment. Therefore, similar description shall not be illustrated again.

(190) The values stated as follows can be obtained according to table 9 and table 10.

(191) TABLE-US-00021 Fifth embodiment (Reference wavelength = 940 nm) |f/f1| |f/f2| |f/f3| |f/f4| |f/f5| |f/f6| 0.20731 0.06000 0.45754 0.09981 1.40221 0.44338 ΣPPR ΣNPR ΣPPR/|ΣNPR| IN12/f IN56/f TP4/(IN34 + TP4 + IN45) 1.70933 0.96091 1.77886 1.52175 0.06385 0.65064 |f1/f2| |f2/f3| (TP1 + IN12)/TP2 (TP6 + IN56)/TP5 0.28941 7.62592 6.31476 2.03207 HOS InTL HOS/HOI InS/HOS ODT % TDT % 18.61720  16.52690  5.64158 0.56966 −1.08673  1.06245 HVT51 HVT52 HVT61 HVT62 HVT62/HOI HVT62/HOS 0     2.00353 0.97652 0.89437 0.27102 0.04804 TP2/TP3 TP3/TP4 InRS61 InRS62 |InRS61|/TP6 |InRS62|/TP6 0.94407 0.99241 0.46931 0.52238 0.23466 0.26119 PSTA PLTA NSTA NLTA SSTA SLTA −0.001 mm 0.023 mm −0.053 mm −0.059 mm 0.008 mm 0.026 mm IN12 IN23 IN34 IN45 IN56  6.882 mm 0.050 mm  0.050 mm  0.697 mm 0.289 mm

(192) The values related to arc lengths can be obtained according to table 9 and table 10.

(193) TABLE-US-00022 Fifth embodiment (Reference wavelength = 940 nm) ARE ½(HXP) ARE value ARE − ½(HXP) 2(ARE/HXP) % TP ARE/TP (%) 11 2.586 2.962 0.376 114.56% 1.354 218.69% 12 2.586 3.484 0.898 134.74% 1.354 257.21% 21 2.586 2.588 0.002 100.08% 1.304 198.39% 22 2.586 2.616 0.031 101.19% 1.304 200.59% 31 2.586 2.682 0.096 103.72% 1.382 194.11% 32 2.586 2.611 0.026 101.00% 1.382 189.02% 41 2.586 2.711 0.126 104.87% 1.392 194.76% 42 2.586 2.706 0.120 104.65% 1.392 194.35% 51 2.586 2.597 0.011 100.44% 1.126 230.57% 52 2.586 2.619 0.034 101.30% 1.126 232.54% 61 2.586 2.658 0.073 102.82% 2.000 132.92% 62 2.586 2.670 0.084 103.25% 2.000 133.48% ARS EHD ARS value ARS − EHD (ARS/EHD)% TP ARS/TP (%) 11 4.400 5.617 1.217 127.65% 1.354 414.69% 12 3.516 5.285 1.769 150.32% 1.354 390.18% 21 3.275 3.316 0.040 101.23% 1.304 254.22% 22 3.255 3.292 0.037 101.13% 1.304 252.41% 31 3.351 3.466 0.116 103.45% 1.382 250.89% 32 3.353 3.380 0.027 100.79% 1.382 244.62% 41 3.350 3.559 0.209 106.24% 1.392 255.64% 42 3.347 3.484 0.137 104.09% 1.392 250.29% 51 3.269 3.290 0.021 100.63% 1.126 292.10% 52 3.085 3.140 0.055 101.77% 1.126 278.80% 61 2.931 3.015 0.085 102.89% 2.000 150.76% 62 2.790 2.916 0.127 104.54% 2.000 145.80%

(194) The values stated as follows can be obtained according to table 9 and table 10.

(195) TABLE-US-00023 Values Related to Inflection Point of Fifth Embodiment (Primary Reference Wavelength = 940 nm) HIF111 3.2695 HIF111/HOI 0.9907 SGI111 2.0680 |SGI111|/(|SGI111| + TP1) 0.6042 HIF121 2.7956 HIF121/HOI 0.8472 SGI121 2.4516 |SGI121|/(|SGI121| + TP1) 0.6441 HIF211 1.2875 HIF211/HOI 0.3901 SGI211 −0.0419 |SGI211|/(|SGI211| + TP2) 0.0311 HIF221 2.2188 HIF221/HOI 0.6724 SGI221 −0.2406 |SGI221|/(|SGI221| + TP2) 0.1557 HIF311 1.9187 HIF311/HOI 0.5814 SGI311 0.4111 |SGI311|/(|SGI311| + TP3) 0.2293 HIF321 1.7163 HIF321/HOI 0.5201 SGI321 0.1760 |SGI321|/(|SGI321| + TP3) 0.1130 HIF322 3.2114 HIF322/HOI 0.9732 SGI322 0.2971 |SGI322|/(|SGI322| + TP3) 0.1770 HIF411 1.6720 HIF411/HOI 0.5067 SGI411 0.4126 |SGI411|/(|SGI411| + TP4) 0.2286 HIF412 1.9802 HIF412/HOI 0.6001 SGI412 0.5283 |SGI412|/(|SGI412| + TP4) 0.2751 HIF413 3.0608 HIF413/HOI 0.9275 SGI413 0.9891 |SGI413|/(|SGI413| + TP4) 0.4154 HIF421 1.3937 HIF421/HOI 0.4223 SGI421 0.3844 |SGI421|/(|SGI421| + TP4) 0.2164 HIF511 1.9069 HIF511/HOI 0.5778 SGI511 0.1263 |SGI511|/(|SGI511| + TP5) 0.1008 HIF512 2.6997 HIF512/HOI 0.8181 SGI512 0.2120 |SGI512|/(|SGI512| + TP5) 0.1584 HIF521 0.9685 HIF521/HOI 0.2935 SGI521 −0.1598 |SGI521|/(|SGI521| + TP5) 0.1242 HIF611 0.5083 HIF611/HOI 0.1540 SGI611 −0.0217 |SGI611|/(|SGI611| + TP6) 0.0107 HIF612 2.3690 HIF612/HOI 0.7179 SGI612 0.2989 |SGI612|/(|SGI612| + TP6) 0.1300

Sixth Embodiment

(196) Please refer to FIGS. 6A to 6C. FIG. 6A is a schematic view of the optical image capturing system according to the sixth embodiment of the present invention. FIG. 6B is a curve diagram illustrating the spherical aberration, astigmatism and optical distortion of the optical image capturing system in order from left to right according to the sixth embodiment of the present invention. FIG. 6C shows the sagittal fan and the tangential fan of the optical image capturing system and the lateral aberration diagram of the longest operation wavelength and the shortest operation wavelength passing thorough the margin of the aperture at 0.7 field of view according to the sixth embodiment of the present invention. As shown in FIG. 6A, an optical image capturing system includes, in the order from the object side to the image side, a first lens 610, a second lens 620, an aperture 600, a third lens 630, a fourth lens 640, a fifth lens 650, a sixth lens 660, an IR-cut filter 680, an image plane 690, and an image sensor element 692.

(197) The first lens 610 has negative refractive power and is made of plastic. The object side 612 of the first lens 610 is a concave surface and the image side 614 of the first lens 610 is a convex surface, and the object side 612 and the image side 614 are aspheric. The object side 612 has one inflection point, and the image side 614 has one inflection point.

(198) The second lens 620 has positive refractive power and is made of plastic. The object side 622 of the second lens 620 is a convex surface and the image side 624 of the second lens 620 is a convex surface, and the object side 622 and the image side 624 are aspheric. The object side 622 has two inflection points, and the image side 624 has one inflection point.

(199) The third lens 630 has negative 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, and the object side 632 and the image side 634 are both aspheric. The object side 632 has one inflection point.

(200) The fourth lens 640 has positive refractive power and is made of plastic. An object side 642 of the fourth lens 640 is a convex surface and an image side 644 of the fourth lens 640 is a concave surface, and the object side 642 and the image side 644 are both aspheric. The object side 642 has one inflection point, and the image side 644 has one inflection point.

(201) The fifth lens 650 has positive refractive power and is made of plastic. An object side 652 of the fifth lens 650 is a convex surface and an image side 654 of the fifth lens 650 is a convex surface, and the object side 652 and the image side 654 are both aspheric. The object side 652 has three inflection points and the image side 654 has one inflection point.

(202) The sixth lens 660 has negative refractive power and is made of plastic. An object side 662 of the sixth lens 660 is a convex surface and an image side 664 of the sixth lens 660 is a concave surface, and the object side 662 and the image side 664 are both aspheric. The object side 662 has two inflection points and the image side 664 has one inflection point. Hereby, this configuration is beneficial to shorten the back focal length of the optical image capturing system so as to keep the optical image capturing system minimized. Furthermore, the incident angle of the off-axis rays can be effectively reduced, thereby further correcting the off-axis aberration.

(203) The IR-cut filter 680 is made of glass, and disposed between the sixth lens 660 and the image plane 690, and does not affect the focal length of the optical image capturing system.

(204) Please refer to table 11 and table 12

(205) TABLE-US-00024 TABLE 11 Lens Parameters for the Sixth Embodiment f = 2.958 mm; f/HEP = 1.3; HAF = 46.473 deg Refractive Dispersion Focal Surface Curvature Radius Thickness (mm) Material index coefficient length 0 Object 1E+18 1E+18 1 Lens 1 −4.778122093 0.574 Plastic 1.515 56.550 −12.258 2 −20.30540012 1.514 3 Lens 2 13.68643365 0.522 Plastic 1.661 20.361 7.729 4 −8.140069207 0.518 5 Aperture 1E+18 0.224 6 Lens 3 −4.043733904 0.682 Plastic 1.584 29.878 −8.615 7 −21.38167424 0.025 8 Lens 4 1.947332344 0.724 Plastic 1.661 20.361 4.198 9 5.447128864 0.659 10 Lens 308.5151418 0.657 Plastic 1.661 20.361 7.024 11 −4.752049977 0.802 12 Lens 2.06513071 0.533 Plastic 1.661 20.361 −16.036 13 1.552109778 0.399 14 IR-cut filter 1E+18 0.215 BK_7 1.517 64.13 15 1E+18 0.750 16 Image plane 1E+18 0.000 Reference wavelength = 940 nm;

(206) Table 12 is the aspheric coefficients of the sixth embodiment

(207) TABLE-US-00025 TABLE 12 Aspheric Coefficients Surface 1 2 3 4 6 7 8 k −1.932350E+01  −8.795381E−11 −1.339115E−08 −1.860006E−16 −3.940199E+01  −2.024047E−09 −5.567190E−01 A4 5.441288E−02  7.763323E−02 −2.077136E−02 −1.194118E−03 5.464584E−02 −1.662518E−02 −9.263937E−02 A6 −1.463470E−02  −6.900056E−03  1.099115E−02  7.235714E−03 −2.476914E−02   2.139731E−03  6.033064E−02 A8 3.318055E−03 −5.737079E−03 −1.756699E−02 −1.598910E−02 7.141143E−03 −2.333704E−03 −5.303441E−02 A10 −5.150632E−04   3.655718E−03  9.246463E−03  1.202495E−02 5.329923E−03  1.936731E−03  2.830659E−02 A12 5.188912E−05 −9.241939E−04 −2.142049E−03 −4.299524E−03 −5.723602E−03  −1.121521E−03 −9.735852E−03 A14 −3.086854E−06   1.081532E−04  2.362891E−04  8.226381E−04 1.950489E−03  3.280029E−04  1.833919E−03 A16 8.555478E−08 −4.804939E−06 −1.023662E−05 −6.393218E−05 −2.424491E−04  −4.106117E−05 −1.347107E−04 A18 0.000000E+00  0.000000E+00  0.000000E+00  0.000000E+00 0.000000E+00  0.000000E+00  0.000000E+00 Surface 9 10 11 12 13 k −2.396111E+01  −9.000000E+01  −1.248902E+00 −5.984900E+00 −1.234090E+00 A4 1.903889E−02 −2.467762E−02  −5.380630E−02 −9.800732E−02 −1.691635E−01 A6 −2.620294E−02  7.778569E−03  3.723336E−02 −7.952685E−03  5.834099E−02 A8 1.984446E−02 6.368310E−03 −7.709948E−03  1.989718E−02 −1.625619E−02 A10 −1.787847E−02  −1.075954E−02  −5.007019E−03 −9.649540E−03  3.026395E−03 A12 8.307480E−03 5.237243E−03  3.818504E−03  2.204722E−03 −3.675353E−04 A14 −1.869723E−03  −1.051592E−03  −8.891963E−04 −2.401215E−04  2.664175E−05 A16 1.695027E−04 7.458111E−05  6.999627E−05  1.021040E−05 −8.639928E−07 A18 0.000000E+00 0.000000E+00  0.000000E+00  0.000000E+00  0.000000E+00

(208) In the sixth embodiment, the aspheric surface formula is presented in the same way in the first embodiment. In addition, the definitions of parameters in following tables are the same as those in the first embodiment. Therefore, similar description shall not be illustrated again.

(209) The values stated as follows can be obtained according to table 11 and table 12.

(210) TABLE-US-00026 Sixth embodiment (Reference wavelength = 940 nm) |f/f1| |f/f2| |f/f3| |f/f4| |f/f5| |f/f6| 0.24135 0.38278 0.34342 0.70473 0.42116 0.18448 ΣPPR ΣNPR ΣPPR/|ΣNPR| IN12/f IN56/f TP4/(IN34 + TP4 + IN45) 1.36725 0.91068 1.50135 0.51188 0.27122 0.51424 |f1/f2| |f2/f3| (TP1 + IN12)/TP2 (TP6 + IN56)/TP5 1.58597 0.89716 3.99985 2.03168 HOS InTL HOS/HOI InS/HOS ODT % TDT % 8.59672 7.43567 2.60507 0.63601 6.01101 1.08488 HVT51 HVT52 HVT61 HVT62 HVT62/HOI HVT62/HOS 0.182725 1.84489 0.96642 1.33837 0.40557 0.15568 TP2/TP3 TP3/TP4 InRS61 InRS62 |InRS61|/TP6 |InRS62|/TP6 0.76580 0.94196 −0.73879  −0.69863  1.38584 1.31051 PSTA PLTA NSTA NLTA SSTA SLTA 0.0002 mm −0.003 mm 0.006 mm −0.002 mm 0.0003 mm 0.0004 mm IN12 IN23 IN34 IN45 IN56  1.514 mm  0.742 mm 0.025 mm  0.659 mm  0.802 mm

(211) The values related to arc lengths can be obtained according to table 11 and table 12.

(212) TABLE-US-00027 Sixth embodiment (Reference wavelength = 940 nm) ARE ½(HEP) ARE value ARE − ½(HEP) 2(ARE/HEP) % TP ARE/TP (%) 11 1.220 1.221 0.00111 100.09% 0.574 212.64% 12 1.220 1.231 0.01047 100.86% 0.574 214.27% 21 1.220 1.220 0.00013 100.01% 0.522 233.71% 22 1.220 1.225 0.00486 100.40% 0.522 234.62% 31 1.220 1.222 0.00131 100.11% 0.682 179.15% 32 1.220 1.223 0.00306 100.25% 0.682 179.40% 41 1.220 1.252 0.03209 102.63% 0.724 173.00% 42 1.220 1.225 0.00440 100.36% 0.724 169.18% 51 1.220 1.221 0.00057 100.05% 0.657 185.74% 52 1.220 1.242 0.02155 101.77% 0.657 188.93% 61 1.220 1.229 0.00823 100.67% 0.533 230.46% 62 1.220 1.243 0.02221 101.82% 0.533 233.08% ARS EHD ARS value ARS − EHD (ARS/EHD)% TP ARS/TP (%) 11 3.135 3.805 0.66966 121.36% 0.574 662.39% 12 2.496 3.024 0.52748 121.13% 0.574 526.43% 21 2.287 2.297 0.01032 100.45% 0.522 439.94% 22 1.896 1.934 0.03751 101.98% 0.522 370.31% 31 1.698 1.703 0.00488 100.29% 0.682 249.79% 32 1.830 1.906 0.07593 104.15% 0.682 279.43% 41 1.841 1.880 0.03952 102.15% 0.724 259.72% 42 1.849 1.870 0.02096 101.13% 0.724 258.27% 51 1.869 1.876 0.00629 100.34% 0.657 285.33% 52 1.944 1.985 0.04113 102.12% 0.657 302.02% 61 2.168 2.506 0.33840 115.61% 0.533 470.09% 62 2.750 3.309 0.55914 120.33% 0.533 620.74%

(213) The values stated as follows can be obtained according to table 11 and table 12.

(214) TABLE-US-00028 Values Related to Inflection Point of Sixth Embodiment (Primary Reference Wavelength = 940 nm) HIF111 0.5325 HIF111/HOI 0.1614 SGI111 −0.0241 |SGI111|/(|SGI111| + TP1) 0.0403 HIF121 0.2315 HIF121/HOI 0.0702 SGI121 −0.0011 |SGI121|/(|SGI121| + TP1) 0.0019 HIF211 0.5758 HIF211/HOI 0.1745 SGI211 0.0101 |SGI211|/(|SGI211| + TP2) 0.0189 HIF212 1.5657 HIF212/HOI 0.4745 SGI212 −0.0414 |SGI212|/(|SGI212| + TP2) 0.0735 HIF221 1.2790 HIF221/HOI 0.3876 SGI221 −0.1061 |SGI221|/(|SGI221| + TP2) 0.1689 HIF311 0.4980 HIF311/HOI 0.1509 SGI311 −0.0241 |SGI311|/(|SGI311| + TP3) 0.0342 HIF411 0.9341 HIF411/HOI 0.2831 SGI411 0.1795 |SGI411|/(|SGI411| + TP4) 0.1987 HIF421 0.8515 HIF421/HOI 0.2580 SGI421 0.0621 |SGI421|/(|SGI421| + TP4) 0.0790 HIF511 0.1051 HIF511/HOI 0.0319 SGI511 0.0000 |SGI511|/(|SGI511| + TP5) 0.0000 HIF512 1.4898 HIF512/HOI 0.4515 SGI512 −0.0669 |SGI512|/(|SGI512| + TP5) 0.0924 HIF513 1.7356 HIF513/HOI 0.5260 SGI513 −0.0989 |SGI513|/(|SGI513| + TP5) 0.1308 HIF521 1.3148 HIF521/HOI 0.3984 SGI521 −0.2291 |SGI521|/(|SGI521| + TP5) 0.2585 HIF611 0.5219 HIF611/HOI 0.1582 SGI611 0.0541 |SGI611|/(|SGI611| + TP6) 0.0921 HIF612 2.0351 HIF612/HOI 0.6167 SGI612 −0.5717 |SGI612|/(|SGI612| + TP6) 0.5175 HIF621 0.6504 HIF621/HOI 0.1971 SGI621 0.1086 |SGI621|/(|SGI621| + TP6) 0.1692

(215) The above description is merely illustrative rather than restrictive. Any equivalent modification or alteration without departing from the spirit and scope of the present invention should be included in the appended claims.