US20170227738A1

US20170227738A1 - Optical image capturing system

Info

Publication number: US20170227738A1
Application number: US15/174,234
Authority: US
Inventors: Chien-Hsun Lai; Yao-Wei Liu; Yeong-Ming Chang
Original assignee: Ability Opto Electronics Technology Co Ltd
Current assignee: Ability Opto Electronics Technology Co Ltd
Priority date: 2016-02-05
Filing date: 2016-06-06
Publication date: 2017-08-10
Anticipated expiration: 2036-06-06
Also published as: TWI638184B; CN107045181B; US9746645B1; CN107045181A; TW201728951A

Abstract

A six-piece optical lens for capturing image and a six-piece optical module for capturing image are provided. 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 can increase aperture value and improve the imagining quality for use in compact cameras.

Description

CROSS-REFERENCE TO RELATED APPLICATION

This application claims the benefit of Taiwan Patent Application No. 105104112, filed on Feb. 5, 2016, in the Taiwan Intellectual Property Office, the disclosure of which is incorporated herein in its entirety by reference.

BACKGROUND OF THE INVENTION

1. Field of the Invention
The present disclosure relates to an optical image capturing system, and more particularly to a compact optical image capturing system which can be applied to electronic products.
2. Description of the Related Art
In recent years, with the rise of portable electronic devices having camera functionalities, the demand for an optical image capturing system is raised gradually. The image sensing device of ordinary photographing camera is commonly selected from charge coupled device (CCD) or complementary metal-oxide semiconductor sensor (CMOS Sensor). In addition, as advanced semiconductor manufacturing technology enables the minimization of pixel size of the image sensing device, the development of the optical image capturing system directs towards the field of high pixels. Therefore, the requirement for high imaging quality is rapidly raised.
The traditional optical image capturing system of a portable electronic device comes with different designs, including a four-lens or a fifth-lens design. However, the requirement for the higher pixels and the requirement for a large aperture of an end user, like functionalities of micro filming and night view have been raised. The optical image capturing system in prior arts cannot meet the requirement of the higher order camera lens module.
Therefore, how to effectively increase quantity of incoming light of the optical lenses, and further improves imaging quality for the image formation, becomes a quite important issue.

SUMMARY OF THE INVENTION

The aspect of embodiment of the present disclosure directs to an optical image capturing system and an optical image capturing lens which use combination of refractive powers, convex and concave surfaces of six-piece optical lenses (the convex or concave surface in the disclosure denotes the change of geometrical shape of an object-side surface or an image-side surface of each lens with different height from an optical axis) to increase the quantity of incoming light of the optical image capturing system, and to improve imaging quality for image formation, so as to be applied to minimized electronic products.
The term and its definition to the lens element parameter in the embodiment of the present invention are shown as below for further reference.
The Lens Element Parameter Related to a Length or a Height in the Lens Element
A maximum height for image formation of the optical image capturing system is denoted by HOI. A height of the optical image capturing system is denoted by HOS. A distance from the object-side surface of the first lens element to the image-side surface of the sixth lens element is denoted by InTL. A distance from an aperture stop (aperture) to an image plane is denoted by InS. A distance from the first lens element to the second lens element is denoted by In12 (instance). A central thickness of the first lens element of the optical image capturing system on the optical axis is denoted by TP1 (instance).
The Lens Element Parameter Related to a Material in the Lens Element
An Abbe number of the first lens element in the optical image capturing system is denoted by NA1 (instance). A refractive index of the first lens element is denoted by Nd1 (instance).
The Lens Element Parameter Related to a View Angle in the Lens Element
A view angle is denoted by AF. Half of the view angle is denoted by HAF. A major light angle is denoted by MRA.
The Lens Element Parameter Related to Exit/Entrance Pupil in the Lens Element
An entrance pupil diameter of the optical image capturing system is denoted by HEP. An entrance pupil diameter of the optical image capturing system is denoted by HEP. A maximum effective half diameter position of any surface of single lens element means the vertical height between the effective half diameter (EHD) and the optical axis where the incident light of the maximum view angle of the system passes through the farthest edge of the entrance pupil on the EHD of the surface of the lens element. For example, the maximum effective half diameter position of the object-side surface of the first lens element is denoted as EHD 11. The maximum effective half diameter position of the image-side of the first lens element is denoted as EHD12. The maximum effective half diameter position of the object-side surface of the second lens element is denoted as EHD21. The maximum half effective half diameter position of the image-side surface of the second lens element is denoted as EHD22. The maximum effective half diameter position of any surfaces of the remaining lens elements of the optical image capturing system can be referred as mentioned above.
The Lens Element Parameter Related to an Arc Length of the Lens Element Shape and an Outline of Surface
A length of outline curve of the maximum effective half diameter position of any surface of a single lens element refers to a length of outline curve from an axial point on the surface of the lens element to the maximum effective half diameter position of the surface along an outline of the surface of the lens element and is denoted as ARS. For example, the length of outline curve of the maximum effective half diameter position of the object-side surface of the first lens element is denoted as ARS11. The length of outline curve of the maximum effective half diameter position of the image-side surface of the first lens element is denoted as ARS12. The length of outline curve of the maximum effective half diameter position of the object-side surface of the second lens element is denoted as ARS21. The length of outline curve of the maximum effective half diameter position of the image-side surface of the second lens element is denoted as ARS22. The lengths of outline curve of the maximum effective half diameter position of any surface of the other lens elements in the optical image capturing system are denoted in the similar way.
A length of outline curve of a half of an entrance pupil diameter (HEP) of any surface of a signal lens element refers to a length of outline curve of the half of the entrance pupil diameter (HEP) from an axial point on the surface of the lens element to a coordinate point of vertical height with a distance of the half of the entrance pupil diameter from the optical axis on the surface along the outline of the surface of the lens element and is denoted as ARE. For example, the length of the outline curve of the half of the entrance pupil diameter (HEP) of the object-side surface of the first lens element is denoted as ARE11. The length of the outline curve of the half of the entrance pupil diameter (HEP) of the image-side surface of the first lens element is denoted as ARE12. The length of the outline curve of the half of the entrance pupil diameter (HEP) of the object-side surface of the second lens element is denoted as ARE21. The length of the outline curve of the half of the entrance pupil diameter (HEP) of the image-side surface of the second lens element is denoted as ARE22. The lengths of outline curves of the half of the entrance pupil diameters (HEP) of any surface of the other lens elements in the optical image capturing system are denoted in the similar way.
The Lens Element Parameter Related to a Depth of the Lens Element Shape
A horizontal distance in parallel with an optical axis from a maximum effective half diameter position to an axial point on the object-side surface of the sixth lens element is denoted by InRS61 (a depth of the maximum effective half diameter). A horizontal distance in parallel with an optical axis from a maximum effective half diameter position to an axial point on the image-side surface of the sixth lens element is denoted by InRS62 (the depth of the maximum effective half diameter). The depths of the maximum effective half diameters (sinkage values) of object surfaces and image surfaces of other lens elements are denoted in the similar way.
The Lens Element Parameter Related to the Lens Element Shape
A critical point C is a tangent point on a surface of a specific lens element, and the tangent point is tangent to a plane perpendicular to the optical axis and the tangent point cannot be a crossover point on the optical axis. To follow the past, a distance perpendicular to the optical axis between a critical point C51 on the object-side surface of the fifth lens element and the optical axis is HVT51 (instance). A distance perpendicular to the optical axis between a critical point C52 on the image-side surface of the fifth lens element and the optical axis is HVT52 (instance). A distance perpendicular to the optical axis between a critical point C61 on the object-side surface of the sixth lens element and the optical axis is HVT61 (instance). A distance perpendicular to the optical axis between a critical point C62 on the image-side surface of the sixth lens element and the optical axis is HVT62 (instance). Distances perpendicular to the optical axis between critical points on the object-side surfaces or the image-side surfaces of other lens elements and the optical axis are denoted in the similar way described above.
The object-side surface of the sixth lens element has one inflection point IF611 which is nearest to the optical axis, and the sinkage value of the inflection point IF611 is denoted by SGI611. SGI611 is a horizontal shift distance in parallel with the optical axis from an axial point on the object-side surface of the sixth lens element to the inflection point which is nearest to the optical axis on the object-side surface of the sixth lens element. A distance perpendicular to the optical axis between the inflection point IF611 and the optical axis is HIF611 (instance). The image-side surface of the sixth lens element has one inflection point IF621 which is nearest to the optical axis and the sinkage value of the inflection point IF621 is denoted by SGI621 (instance). SGI621 is a horizontal shift distance in parallel with the optical axis from an axial point on the image-side surface of the sixth lens element to the inflection point which is nearest to the optical axis on the image-side surface of the sixth lens element. A distance perpendicular to the optical axis between the inflection point IF621 and the optical axis is HIF621 (instance).
The object-side surface of the sixth lens element has one inflection point IF612 which is the second nearest to the optical axis and the sinkage value of the inflection point IF612 is denoted by SGI612 (instance). SGI612 is a horizontal shift distance in parallel with the optical axis from an axial point on the object-side surface of the sixth lens element to the inflection point which is the second nearest to the optical axis on the object-side surface of the sixth lens element. A distance perpendicular to the optical axis between the inflection point IF612 and the optical axis is HIF612 (instance). The image-side surface of the sixth lens element has one inflection point IF622 which is the second nearest to the optical axis and the sinkage value of the inflection point IF622 is denoted by SGI622 (instance). SGI622 is a horizontal shift distance in parallel with the optical axis from an axial point on the image-side surface of the sixth lens element to the inflection point which is the second nearest to the optical axis on the image-side surface of the sixth lens element. A distance perpendicular to the optical axis between the inflection point IF622 and the optical axis is HIF622 (instance).
The object-side surface of the sixth lens element has one inflection point IF613 which is the third nearest to the optical axis and the sinkage value of the inflection point IF613 is denoted by SGI613 (instance). SGI613 is a horizontal shift distance in parallel with the optical axis from an axial point on the object-side surface of the sixth lens element to the inflection point which is the third nearest to the optical axis on the object-side surface of the sixth lens element. A distance perpendicular to the optical axis between the inflection point IF613 and the optical axis is HIF613 (instance). The image-side surface of the sixth lens element has one inflection point IF623 which is the third nearest to the optical axis and the sinkage value of the inflection point IF623 is denoted by SGI623 (instance). SGI623 is a horizontal shift distance in parallel with the optical axis from an axial point on the image-side surface of the sixth lens element to the inflection point which is the third nearest to the optical axis on the image-side surface of the sixth lens element. A distance perpendicular to the optical axis between the inflection point IF623 and the optical axis is HIF623 (instance).
The object-side surface of the sixth lens element has one inflection point IF614 which is the fourth nearest to the optical axis and the sinkage value of the inflection point IF614 is denoted by SGI614 (instance). SGI614 is a horizontal shift distance in parallel with the optical axis from an axial point on the object-side surface of the sixth lens element to the inflection point which is the fourth nearest to the optical axis on the object-side surface of the sixth lens element. A distance perpendicular to the optical axis between the inflection point IF614 and the optical axis is HIF614 (instance). The image-side surface of the sixth lens element has one inflection point IF624 which is the fourth nearest to the optical axis and the sinkage value of the inflection point IF624 is denoted by SGI624 (instance). SGI624 is a horizontal shift distance in parallel with the optical axis from an axial point on the image-side surface of the sixth lens element to the inflection point which is the fourth nearest to the optical axis on the image-side surface of the sixth lens element. A distance perpendicular to the optical axis between the inflection point IF624 and the optical axis is HIF624 (instance).
The inflection points on the object-side surfaces or the image-side surfaces of the other lens elements and the distances perpendicular to the optical axis thereof or the sinkage values thereof are denoted in the similar way described above.
The Lens Element Parameter Related to an Aberration
Optical distortion for image formation in the optical image capturing system is denoted by ODT. TV distortion for image formation in the optical image capturing system is denoted by TDT. Further, the range of the aberration offset for the view of image formation may be limited to 50%-100%. An offset of the spherical aberration is denoted by DFS. An offset of the coma aberration is denoted by DFC.
The lateral aberration of the stop is denoted as STA to assess the function of the specific optical image capturing system. The tangential fan or sagittal fan may be applied to calculate the STA of any view fields, and in particular, to calculate the STA of the max reference wavelength (e.g. 650 nm) and the minima reference wavelength (e.g. 470 nm) for serve as the standard of the optimal function. The aforementioned direction of the tangential fan can be further defined as the positive (overhead-light) and negative (lower-light) directions. The max operation wavelength, which passes through the STA, is defined as the image position of the specific view field, and the distance difference of two positions of image position of the view field between the max operation wavelength and the reference primary wavelength (e.g. wavelength of 555 nm), and the minimum operation wavelength, which passes through the STA, is defined as the image position of the specific view field, and STA of the max operation wavelength is defined as the distance between the image position of the specific view field of max operation wavelength and the image position of the specific view field of the reference primary wavelength (e.g. wavelength of 555 nm), and STA of the minimum operation wavelength is defined as the distance between the image position of the specific view field of the minimum operation wavelength and the image position of the specific view field of the reference primary wavelength (e.g. wavelength of 555 nm) are assessed the function of the specific optical image capturing system to be optimal. Both STA of the max operation wavelength and STA of the minimum operation wavelength on the image position of vertical height with a distance from the optical axis to 70% HOI (i.e. 0.7 HOI), which are smaller than 100 μm, are served as the sample. The numerical, which are smaller than 80 μm, are also served as the sample.
A maximum height for image formation on the image plane perpendicular to the optical axis in the optical image capturing system is denoted by HOI. A lateral aberration of the longest operation wavelength of a visible light of a positive direction tangential fan of the optical image capturing system passing through an edge of the entrance pupil and incident on the image plane by 0.7 HOI is denoted as PLTA. A lateral aberration of the shortest operation wavelength of a visible light of the positive direction tangential fan of the optical image capturing system passing through the edge of the entrance pupil and incident on the image plane by 0.7 HOI is denoted as PSTA. A lateral aberration of the longest operation wavelength of a visible light of a negative direction tangential fan of the optical image capturing system passing through the edge of the entrance pupil and incident on the image plane by 0.7 HOI is denoted as NLTA. A lateral aberration of the shortest operation wavelength of a visible light of a negative direction tangential fan of the optical image capturing system passing through the edge of the entrance pupil and incident on the image plane by 0.7 HOI is denoted as NSTA. A lateral aberration of the longest operation wavelength of a visible light of a sagittal fan of the optical image capturing system passing through the edge of the entrance pupil and incident on the image plane by 0.7 HOI is denoted as SLTA. A lateral aberration of the shortest operation wavelength of a visible light of the sagittal fan of the optical image capturing system passing through the edge of the entrance pupil and incident on the image plane by 0.7 HOI is denoted as SSTA.
The disclosure provides an optical image capturing system, an object-side surface or an image-side surface of the sixth lens element may have inflection points, such that the angle of incidence from each view field to the sixth lens element can be adjusted effectively and the optical distortion and the TV distortion can be corrected as well. Besides, the surfaces of the sixth lens element may have a better optical path adjusting ability to acquire better imaging quality.
The disclosure provides an optical image capturing system, in order from an object side to an image side, including a first, second, third, fourth, fifth, sixth lens elements and an image plane. The first lens element has refractive power. Focal lengths of the first through sixth lens elements are f1, f2, f3, f4, f5 and f6 respectively. A focal length of the optical image capturing system is f. An entrance pupil diameter of the optical image capturing system is HEP. A distance on an optical axis from an object-side surface of the first lens element to the image plane is HOS. A distance on the optical axis from the object-side surface of the first lens element to the image-side surface of the sixth lens element is InTL. A half of a maximum view angle of the optical image capturing system is HAF. A length of outline curve from an axial point on any surface of any one of the six lens elements to a coordinate point of vertical height with a distance of a half of the entrance pupil diameter from the optical axis on the surface along an outline of the surface is denoted as ARE. The following relations are satisfied: 1.0≦f/HEP≦10.0, 0 deg≦HAF≦150 deg and 0.9≦2(ARE/REP)≦1.5.
The disclosure provides another optical image capturing system, in order from an object side to an image side, including a first, second, third, fourth, fifth, six lens elements and an image plane. The first lens element has refractive power. The second lens element has refractive power. The third lens element has refractive power. The fourth lens element has refractive power. The fifth lens element has refractive power. The sixth lens element has refractive power. At least one lens element among the first through sixth lens elements has at least one inflection point on at least one surface thereof. At least one lens element among the first through third lens elements has positive refractive power, and at least one lens element among the fourth through sixth lens elements has positive refractive power. Focal lengths of the first through sixth lens elements are f1, f2, f3, f4, f5 and f6, respectively. A focal length of the optical image capturing system is f An entrance pupil diameter of the optical image capturing system is HEP. A distance on an optical axis from an object-side surface of the first lens element to the image plane is HOS. A distance on the optical axis from the object-side surface of the first lens element to the image-side surface of the sixth lens element is InTL A half of a maximum view angle of the optical image capturing system is HAF. A length of outline curve from an axial point on any surface of any one of the six lens elements to a coordinate point of vertical height with a distance of a half of the entrance pupil diameter from the optical axis on the surface along an outline of the surface is denoted as ARE. The following relations are satisfied: 1.0≦f/HEP≦10.0, 0 deg≦HAF≦150 deg and 0.9≦2(ARE/HEP)≦1.5.
The disclosure provides another optical image capturing system, in order from an object side to an image side, including a first, second, third, fourth, fifth, sixth lens elements and an image plane. Wherein, the optical image capturing system consists of the six lens elements with refractive power. The first lens element has positive refractive power. The second lens element has refractive power. The third lens element has refractive power. The fourth lens element has refractive power. The fifth lens element has refractive power. The sixth lens element has refractive power. At least one lens elements among the second through the sixth lens elements has positive refractive power. At least two lens elements among the first through the sixth lens elements respectively have at least one inflection point on at least one surface thereof. Focal lengths of the first through sixth lens elements are f1, f2, f3, f4, f5 and f6 respectively. A focal length of the optical image capturing system is f An entrance pupil diameter of the optical image capturing system is HEP. A distance on an optical axis from an object-side surface of the first lens element to the image plane is HOS. A distance on the optical axis from the object-side surface of the first lens element to the image-side surface of the sixth lens element is InTL A half of a maximum view angle of the optical image capturing system is HAF. A length of outline curve from an axial point on any surface of any one of the six lens elements to a coordinate point of vertical height with a distance of a half of the entrance pupil diameter from the optical axis on the surface along an outline of the surface is denoted as ARE. The following relations are satisfied: 1.0≦f/HEP≦3.5, 0 deg≦HAF≦150 deg and 0.9≦2(ARE/HEP)≦1.5.
The length of the outline curve of any surface of a signal lens element in the maximum effective half diameter position affects the functions of the surface aberration correction and the optical path difference in each view field. The longer outline curve may lead to a better function of aberration correction, but the difficulty of the production may become inevitable. Hence, the length of the outline curve of the maximum effective half diameter position of any surface of a signal lens element (ARS) has to be controlled, and especially, the ratio relations (ARS/TP) between the length of the outline curve of the maximum effective half diameter position of the surface (ARS) and the thickness of the lens element to which the surface belongs on the optical axis (TP) has to be controlled. For example, the length of the outline curve of the maximum effective half diameter position of the object-side surface of the first lens element is denoted as ARS11, and the thickness of the first lens element on the optical axis is TP1, and the ratio between both of them is ARS11/TP1. The length of the outline curve of the maximum effective half diameter position of the image-side surface of the first lens element is denoted as ARS12, and the ratio between ARS12 and TP1 is ARS12/TP1. The length of the outline curve of the maximum effective half diameter position of the object-side surface of the second lens element is denoted as ARS21, and the thickness of the second lens element on the optical axis is TP2, and the ratio between both of them is ARS21/TP2. The length of the outline curve of the maximum effective half diameter position of the image-side surface of the second lens element is denoted as ARS22, and the ratio between ARS22 and TP2 is ARS22/TP2. The ratio relations between the lengths of the outline curve of the maximum effective half diameter position of any surface of the other lens elements and the thicknesses of the lens elements to which the surfaces belong on the optical axis (TP) are denoted in the similar way.
The length of outline curve of half of an entrance pupil diameter of any surface of a single lens element especially affects the functions of the surface aberration correction and the optical path difference in each shared view field. The longer outline curve may lead to a better function of aberration correction, but the difficulty of the production may become inevitable. Hence, the length of outline curve of half of an entrance pupil diameter of any surface of a single lens element has to be controlled, and especially, the ratio relationship between the length of outline curve of half of an entrance pupil diameter of any surface of a single lens element and the thickness on the optical axis has to be controlled. For example, the length of outline curve of the half of the entrance pupil diameter of the object-side surface of the first lens element is denoted as ARE11, and the thickness of the first lens element on the optical axis is TP1, and the ratio thereof is ARE11/TP1. The length of outline curve of the half of the entrance pupil diameter of the image-side surface of the first lens element is denoted as ARE12, and the thickness of the first lens element on the optical axis is TP1, and the ratio thereof is ARE12/TP1. The length of outline curve of the half of the entrance pupil diameter of the object-side surface of the first lens element is denoted as ARE21, and the thickness of the second lens element on the optical axis is TP2, and the ratio thereof is ARE21/TP2. The length of outline curve of the half of the entrance pupil diameter of the image-side surface of the second lens element is denoted as ARE22, and the thickness of the second lens element on the optical axis is TP2, and the ratio thereof is ARE22/TP2. The ratio relationship of the remaining lens elements of the optical image capturing system can be referred as mentioned above.
The height of optical system (HOS) may be reduced to achieve the minimization of the optical image capturing system when the absolute value of f1 is larger than f6 (|f1|>f6).
When |f2|+|f3|+|f4|+|f5| and |f1|+|f6| are satisfied with above relations, at least one of the second through fifth lens elements may have weak positive refractive power or weak negative refractive power. The weak refractive power indicates that an absolute value of the focal length of a specific lens element is greater than 10. When at least one of the second through fifth lens elements has the weak positive refractive power, the positive refractive power of the first lens element can be shared, such that the unnecessary aberration will not appear too early. On the contrary, when at least one of the second through fifth lens elements has the weak negative refractive power, the aberration of the optical image capturing system can be corrected and fine tuned.
The sixth lens element may have negative refractive power and a concave image-side surface. Hereby, the back focal length is reduced for keeping the miniaturization, to miniaturize the lens element effectively. In addition, at least one of the object-side surface and the image-side surface of the sixth lens element may have at least one inflection point, such that the angle of incident with incoming light from an off-axis view field can be suppressed effectively and the aberration in the off-axis view field can be corrected further.

BRIEF DESCRIPTION OF THE DRAWINGS

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

FIG. 1A is a schematic view of the optical image capturing system according to the first embodiment of the present application.

FIG. 1B is longitudinal spherical aberration curves, astigmatic field curves, and an optical distortion grid of the optical image capturing system in the order from left to right according to the first embodiment of the present application.

FIG. 1C is a lateral aberration diagram of tangential fan, sagittal fan, the longest operation wavelength and the shortest operation wavelength passing through an edge of the entrance pupil and incident on the image plane by 0.7 HOI according to the first embodiment of the present application.

FIG. 2A is a schematic view of the optical image capturing system according to the second embodiment of the present application.

FIG. 2B is longitudinal spherical aberration curves, astigmatic field curves, and an optical distortion grid of the optical image capturing system in the order from left to right according to the second embodiment of the present application.

FIG. 2C is a lateral aberration diagram of tangential fan, sagittal fan, the longest operation wavelength and the shortest operation wavelength passing through an edge of the entrance pupil and incident on the image plane by 0.7 HOI according to the second embodiment of the present application.

FIG. 3A is a schematic view of the optical image capturing system according to the third embodiment of the present application.

FIG. 3B is longitudinal spherical aberration curves, astigmatic field curves, and an optical distortion grid of the optical image capturing system in the order from left to right according to the third embodiment of the present application.

FIG. 3C is a lateral aberration diagram of tangential fan, sagittal fan, the longest operation wavelength and the shortest operation wavelength passing through an edge of the entrance pupil and incident on the image plane by 0.7 HOI according to the third embodiment of the present application.

FIG. 4A is a schematic view of the optical image capturing system according to the fourth embodiment of the present application.

FIG. 4B is longitudinal spherical aberration curves, astigmatic field curves, and an optical distortion grid of the optical image capturing system in the order from left to right according to the fourth embodiment of the present application.

FIG. 4C is a lateral aberration diagram of tangential fan, sagittal fan, the longest operation wavelength and the shortest operation wavelength passing through an edge of the entrance pupil and incident on the image plane by 0.7 HOI according to the fourth embodiment of the present application.

FIG. 5A is a schematic view of the optical image capturing system according to the fifth embodiment of the present application.

FIG. 5B is longitudinal spherical aberration curves, astigmatic field curves, and an optical distortion grid of the optical image capturing system in the order from left to right according to the fifth embodiment of the present application.

FIG. 5C is a lateral aberration diagram of tangential fan, sagittal fan, the longest operation wavelength and the shortest operation wavelength passing through an edge of the entrance pupil and incident on the image plane by 0.7 HOI according to the fifth embodiment of the present application.

FIG. 6A is a schematic view of the optical image capturing system according to the sixth embodiment of the present application.

FIG. 6B is longitudinal spherical aberration curves, astigmatic field curves, and an optical distortion grid of the optical image capturing system in the order from left to right according to the sixth embodiment of the present application.

FIG. 6C is a lateral aberration diagram of tangential fan, sagittal fan, the longest operation wavelength and the shortest operation wavelength passing through an edge of the entrance pupil and incident on the image plane by 0.7 HOI according to the sixth embodiment of the present application.

FIG. 7A is a schematic view of the optical image capturing system according to the seventh embodiment of the present application.

FIG. 7B is longitudinal spherical aberration curves, astigmatic field curves, and an optical distortion grid of the optical image capturing system in the order from left to right according to the seventh embodiment of the present application.

FIG. 7C is a lateral aberration diagram of tangential fan, sagittal fan, the longest operation wavelength and the shortest operation wavelength passing through an edge of the entrance pupil and incident on the image plane by 0.7 HOI according to the seventh embodiment of the present application.

FIG. 8A is a schematic view of the optical image capturing system according to the eighth embodiment of the present application.

FIG. 8B is longitudinal spherical aberration curves, astigmatic field curves, and an optical distortion grid of the optical image capturing system in the order from left to right according to the eighth embodiment of the present application.

FIG. 8C is a lateral aberration diagram of tangential fan, sagittal fan, the longest operation wavelength and the shortest operation wavelength passing through an edge of the entrance pupil and incident on the image plane by 0.7 HOI according to the eighth embodiment of the present application.

FIG. 9A is a schematic view of the optical image capturing system according to the ninth embodiment of the present application.

FIG. 9B is longitudinal spherical aberration curves, astigmatic field curves, and an optical distortion grid of the optical image capturing system in the order from left to right according to the ninth embodiment of the present application.

FIG. 9C is a lateral aberration diagram of tangential fan, sagittal fan, the longest operation wavelength and the shortest operation wavelength passing through an edge of the entrance pupil and incident on the image plane by 0.7 HOI according to the ninth embodiment of the present application.

DETAILED DESCRIPTION OF THE PREFERRED EMBODIMENTS

Reference will now be made in detail to the exemplary embodiments of the present disclosure, examples of which are illustrated in the accompanying drawings. Therefore, it is to be understood that the foregoing is illustrative of exemplary embodiments and is not to be construed as limited to the specific embodiments disclosed, and that modifications to the disclosed exemplary embodiments, as well as other exemplary embodiments, are intended to be included within the scope of the appended claims. These embodiments are provided so that this disclosure will be thorough and complete, and will fully convey the inventive concept to those skilled in the art. The relative proportions and ratios of elements in the drawings may be exaggerated or diminished in size for the sake of clarity and convenience in the drawings, and such arbitrary proportions are only illustrative and not limiting in any way. The same reference numbers are used in the drawings and the description to refer to the same or like parts.
It will be understood that, although the terms ‘first’, ‘second’, ‘third’, etc., may be used herein to describe various elements, these elements should not be limited by these terms. The terms are used only for the purpose of distinguishing one component from another component. Thus, a first element discussed below could be termed a second element without departing from the teachings of embodiments. As used herein, the term “or” includes any and all combinations of one or more of the associated listed items.
An optical image capturing system, in order from an object side to an image side, includes a first, second, third, fourth, fifth and sixth lens elements with refractive power and an image plane. The optical image capturing system may further include an image sensing device which is disposed on an image plane.
The optical image capturing system may use three sets of wavelengths which are 486.1 nm, 587.5 nm and 656.2 nm, respectively, 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 470 nm, 510 nm, 555 nm, 610 nm and 650 nm, respectively, wherein 555 nm is served as the primary reference wavelength and a reference wavelength for retrieving technical features.
A ratio of the focal length f of the optical image capturing system to a focal length fp of each of lens elements with positive refractive power is PPR. A ratio of the focal length f of the optical image capturing system to a focal length fn of each of lens elements with negative refractive power is NPR. A sum of the PPR of all lens elements with positive refractive power is ΣPPR. A sum of the NPR of all lens elements with negative refractive powers is ΣNPR. It is beneficial to control the total refractive power and the total length of the optical image capturing system when following conditions are satisfied: 0.5≦ΣPPR/|ΣNPR|≦15. Preferably, the following relation may be satisfied: 1≦ΣPPR/|ΣNPR|≦3.0.
The optical image capturing system may further include an image sensing device which is disposed on an image plane. 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. A distance on the optical axis from the object-side surface of the first lens element to the image plane is HOS. The following relations are satisfied: HOS/HOI≦10 and 0.5≦HOS/f≦10. Preferably, the following relations may be satisfied: 1≦HOS/HOI≦5 and 1≦HOS/f≦7. Hereby, the miniaturization of the optical image capturing system can be maintained effectively, so as to be carried by lightweight portable electronic devices.
In addition, in the optical image capturing system of the disclosure, according to different requirements, at least one aperture stop may be arranged for reducing stray light and improving the imaging quality.
In the optical image capturing system of the disclosure, the aperture stop may be a front or middle aperture. The front aperture is the aperture stop between a photographed object and the first lens element. The middle aperture is the aperture stop between the first lens element and the image plane. If the aperture stop is the front aperture, a longer distance between the exit pupil and the image plane of the optical image capturing system can be formed, such that more optical elements can be disposed in the optical image capturing system and the efficiency of receiving images of the image sensing device can be raised. If the aperture stop is the middle aperture, the view angle of the optical image capturing system can be expended, such that the optical image capturing system has the same advantage that is owned by wide angle cameras. A distance from the aperture stop to the image plane is InS. The following relation is satisfied: 0.2≦InS/HOS≦1.1. Hereby, the miniaturization of the optical image capturing system can be maintained while the feature of the wild-angle lens element can be achieved.
In the optical image capturing system of the disclosure, a distance from the object-side surface of the first lens element to the image-side surface of the sixth lens element is InTL. A total central thickness of all lens elements with refractive power on the optical axis is ΣTP. The following relation is satisfied: 0.1≦ΣTP/InTL≦0.9. Hereby, contrast ratio for the image formation in the optical image capturing system and defect-free rate for manufacturing the lens element can be given consideration simultaneously, and a proper back focal length is provided to dispose other optical components in the optical image capturing system.
A curvature radius of the object-side surface of the first lens element is R1. A curvature radius of the image-side surface of the first lens element is R2. The following relation is satisfied: 0.001≦|R1/R21|≦20. Hereby, the first lens element may have proper strength of the positive refractive power, so as to avoid the longitudinal spherical aberration to increase too fast. Preferably, the following relation may be satisfied: 0.01≦|R1/R2|≦10.
A curvature radius of the object-side surface of the sixth lens element is R11. A curvature radius of the image-side surface of the sixth lens element is R12. The following relation is satisfied: −7<(R11−R12)/(R11+R12)<50. Hereby, the astigmatism generated by the optical image capturing system can be corrected beneficially.
A distance between the first lens element and the second lens element on the optical axis is IN12. The following relation is satisfied: IN12/f≦3.0. Hereby, the chromatic aberration of the lens elements can be improved, such that the performance can be increased.
A distance between the fifth lens element and the sixth lens element on the optical axis is IN56. The following relation is satisfied: IN56/f≦0.8. Hereby, the function of the lens elements can be improved.
Central thicknesses of the first lens element and the second lens element on the optical axis are TP1 and TP2, respectively. The following relation 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.
Central thicknesses of the fifth lens element and the sixth lens element on the optical axis are TP5 and TP6, respectively, and a distance between the aforementioned two lens elements on the optical axis is IN56. The following relation is satisfied: 0.1≦(TP6+IN56)/TP5≦10. 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.
Central thicknesses of the second lens element, the third lens element and the fourth lens element on the optical axis are TP2, TP3 and TP4, respectively. A distance between the second and the third lens elements on the optical axis is IN23, and a distance between the fourth and the fifth lens elements on the optical axis is IN45. A distance between an object-side surface of the first lens element and an image-side surface of sixth lens element is InTL. The following relation is satisfied: 0.1≦TP4/(IN34+TP4+IN45)<1. Hereby, the aberration generated by the process of moving the incident light can be adjusted slightly layer upon layer, and the total height of the optical image capturing system can be reduced.
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 surface of the sixth lens element and the optical axis is HVT61. A distance perpendicular to the optical axis between a critical point C62 on an image-side surface of the sixth lens element and the optical axis is HVT62. A distance in parallel with the optical axis from an axial point on the object-side surface of the sixth lens element to the critical point C61 is SGC61. A distance in parallel with the optical axis from an axial point on the image-side surface of the sixth lens element to the critical point C62 is SGC62. The following relations may be satisfied: 0 mm≦HVT61≦3 mm, 0 mm<HVT62≦6 mm, 0 ≦HVT61/HVT62, 0 mm 23 |SGC61|≦0.5 mm; 0 mm<|SGC62|≦2 mm, and 0<|SGC62|/(|SGC62|+TP6)≦0.9. Hereby, the aberration of the off-axis view field can be corrected effectively.
The following relation is satisfied for the optical image capturing system of the disclosure: 0.2≦HVT62/HOI≦0.9. Preferably, the following relation may be satisfied: 0.3≦HVT62/HOI≦0.8. Hereby, the aberration of surrounding view field for the optical image capturing system can be corrected beneficially.
The following relation is satisfied for the optical image capturing system of the disclosure: 0≦HVT62/HOS≦0.5. Preferably, the following relation may be satisfied: 0.2≦HVT62/HOS≦0.45. Hereby, the aberration of surrounding view field for the optical image capturing system can be corrected beneficially.
In the optical image capturing system of the disclosure, a distance in parallel with an optical axis from an inflection point on the object-side surface of the sixth lens element which is nearest to the optical axis to an axial point on the object-side surface of the sixth lens element is denoted by SGI611. A distance in parallel with an optical axis from an inflection point on the image-side surface of the sixth lens element which is nearest to the optical axis to an axial point on the image-side surface of the sixth lens element is denoted by SGI621. The following relations are satisfied: 0<SGI611/(SGI611+TP6)≦0.9 and 0<SGI621/(SGI621+TP6)≦0.9. Preferably, the following relations may be satisfied: 0.1≦SGI611/(SGI611+TP6)≦0.6 and 0.1≦SGI621/(SGI621+TP6)≦0.6.
A distance in parallel with the optical axis from the inflection point on the object-side surface of the sixth lens element which is the second nearest to the optical axis to an axial point on the object-side surface of the sixth lens element is denoted by SGI612. A distance in parallel with an optical axis from an inflection point on the image-side surface of the sixth lens element which is the second nearest to the optical axis to an axial point on the image-side surface of the sixth lens element is denoted by SGI622. The following relations are satisfied: 0<SGI612/(SGI612+TP6)≦0.9 and 0<SGI622/(SGI622+TP6)≦0.9. Preferably, the following relations may be satisfied: 0.1≦SGI612/(SGI612+TP6)≦0.6 and 0.1≦SGI622/(SGI622+TP6)≦0.6.
A distance perpendicular to the optical axis between the inflection point on the object-side surface of the sixth lens element which is the nearest to the optical axis and the optical axis is denoted by HIF611. A distance perpendicular to the optical axis between an axial point on the image-side surface of the sixth lens element and an inflection point on the image-side surface of the sixth lens element which is the nearest to the optical axis is denoted by HIF621. The following relations are satisfied: 0.001 mm≦|HIF611|≦5 mm and 0.001 mm ≦|HIF621|≦5 mm. Preferably, the following relations may be satisfied: 0.1 mm≦|HIF611|≦3.5 mm and 1.5 mm≦|HIF621|≦3.5 mm.
A distance perpendicular to the optical axis between the inflection point on the object-side surface of the sixth lens element which is the second nearest to the optical axis and the optical axis is denoted by HIF612. A distance perpendicular to the optical axis between an axial point on the image-side surface of the sixth lens element and an inflection point on the image-side surface of the sixth lens element which is the second nearest to the optical axis is denoted by HIF622. The following relations are satisfied: 0.001 mm≦|HIF612|≦5 mm and 0.001 mm≦|HIF622|≦5 mm. Preferably, the following relations may be satisfied: 0.1 mm≦|HIF622|≦3.5 mm and 0.1 mm≦|HIF612|≦3.5 mm.
A distance perpendicular to the optical axis between the inflection point on the object-side surface of the sixth lens element which is the third nearest to the optical axis and the optical axis is denoted by HIF613. A distance perpendicular to the optical axis between an axial point on the image-side surface of the sixth lens element and an inflection point on the image-side surface of the sixth lens element which is the third nearest to the optical axis is denoted by HIF623. The following relations are satisfied: 0.001 mm≦|HIF613|≦5 mm and 0.001 mm≦|HIF623|≦5 mm. Preferably, the following relations may be satisfied: 0.1 mm≦|HIF623|≦3.5 mm and 0.1 mm≦|HIF613|≦3.5 mm.
A distance perpendicular to the optical axis between the inflection point on the object-side surface of the sixth lens element which is the fourth nearest to the optical axis and the optical axis is denoted by HIF614. A distance perpendicular to the optical axis between an axial point on the image-side surface of the sixth lens element and an inflection point on the image-side surface of the sixth lens element which is the fourth nearest to the optical axis is denoted by HIF624. The following relations are satisfied: 0.001 mm≦|HIF614|≦5 mm and 0.001 mm≦|HIF624|≦5 mm. Preferably, the following relations may be satisfied: 0.1 mm≦|HIF624|≦3.5 mm and 0.1 mm≦|HIF614|≦3.5 mm.
In one embodiment of the optical image capturing system of the present disclosure, the chromatic aberration of the optical image capturing system can be corrected by alternatively arranging the lens elements with large Abbe number and small Abbe number.
The above Aspheric formula is:
z=ch ²/[1+[1−(k+1)c ² h ²]^0.5 ]+A4h ⁴ +A6h ⁶ +A8h ⁸ +A10h ¹⁰ +A12h ¹² +A14h ¹⁴ +A16h ¹⁶ +A18h ¹⁸ +A20h ²⁰+ (1),
where z is a position value of the position along the optical axis and at the height h which reference to the surface apex; k is the conic coefficient, c is the reciprocal of curvature radius, and A4, A6, A8, A10, Al2, A14, A16, A18, and A20 are high order aspheric coefficients.
The optical image capturing system provided by the disclosure, the lens elements may be made of glass or plastic material. If plastic material is adopted to produce the lens elements, the cost of manufacturing will be lowered effectively. If lens elements are made of glass, the heat effect can be controlled and the designed space arranged for the refractive power of the optical image capturing system can be increased. Besides, the object-side surface and the image-side surface of the first through sixth lens elements may be aspheric, so as to obtain more control variables. Comparing with the usage of traditional lens element made by glass, the number of lens elements used can be reduced and the aberration can be eliminated. Thus, the total height of the optical image capturing system can be reduced effectively.
In addition, in the optical image capturing system provided by the disclosure, if the lens element has a convex surface, the surface of the lens element adjacent to the optical axis is convex in principle. If the lens element has a concave surface, the surface of the lens element adjacent to the optical axis is concave in principle.
The optical image capturing system of the disclosure can be adapted to the optical image capturing system with automatic focus if required. With the features of a good aberration correction and a high quality of image formation, the optical image capturing system can be used in various application fields.
The optical image capturing system of the disclosure can include a driving module according to the actual requirements. The driving module may be coupled with the lens elements to enable the lens elements producing displacement. The 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 distortion frequency owing to the vibration of the lens while shooting.
At least one of the first, second, third, fourth, fifth and sixth lens elements of the optical image capturing system of the disclosure may further be designed as a light filtration element with a wavelength of less than 500 nm according to the actual requirement. The light filter element may be made by coating at least one surface of the specific lens element characterized of the filter function, and alternatively, may be made by the lens element per se made of the material which is capable of filtering short wavelength.
The image plane of the optical image capturing system according to the present application may be a plane or a curved surface based on the actual requirement. When the image plane is a curved surface such as a spherical surface with a radius of curvature, the angle of incidence which is necessary for focusing light on the image plane can be reduced. Hence, it not only contributes to shortening the length of the optical image capturing system, but also to promote the relative illuminance.
According to the above embodiments, the specific embodiments with figures are presented in detail as below.

The First Embodiment (Embodiment 1)

Please refer to FIG. 1A and FIG. 1B. FIG. 1A is a schematic view of the optical image capturing system according to the first embodiment of the present application, FIG. 1B is longitudinal spherical aberration curves, astigmatic field curves, and an optical distortion curve of the optical image capturing system in the order from left to right according to the first embodiment of the present application, and FIG. 1C is a lateral aberration diagram of tangential fan, sagittal fan, the longest operation wavelength and the shortest operation wavelength passing through an edge of the entrance pupil and incident on the image plane by 0.7 HOI according to the first embodiment of the present application. As shown in FIG. 1A, in order from an object side to an image side, the optical image capturing system includes a first lens element 110, an aperture stop 100, a second lens element 120, a third lens element 130, a fourth lens element 140, a fifth lens element 150, a sixth lens element 160, an IR-bandstop filter 180, an image plane 190, and an image sensing device 192.
The first lens element 110 has negative refractive power and it is made of plastic material. The first lens element 110 has a concave object-side surface 112 and a concave image-side surface 114, both of the object-side surface 112 and the image-side surface 114 are aspheric, and the object-side surface 112 has two inflection points. The length of outline curve of the maximum effective half diameter position of the object-side surface of the first lens element is denoted as ARS11. The length of outline curve of the maximum effective half diameter position of the image-side surface of the first lens element is denoted as ARS12. The length of outline curve of a half of an entrance pupil diameter (HEP) of the object-side surface of the first lens element is denoted as ARE11, and the length of outline curve of the half of the entrance pupil diameter (HEP) of the image-side surface of the first lens element is denoted as ARE12. The thickness of the first lens element on the optical axis is TP1.
A distance in parallel with an optical axis from an inflection point on the object-side surface of the first lens element which is nearest to the optical axis to an axial point on the object-side surface of the first lens element is denoted by SGI111. A distance in parallel with an optical axis from an inflection point on the image-side surface of the first lens element which is nearest to the optical axis to an axial point on the image-side surface of the first lens element is denoted by SGI121. The following relations are satisfied: SGI111=−0.0031 mm and |SGI111|/(SGI111|+TP1)=0.0016.
A distance in parallel with an optical axis from an inflection point on the object-side surface of the first lens element which is the second nearest to the optical axis to an axial point on the object-side surface of the first lens element is denoted by SGI112. A distance in parallel with an optical axis from an inflection point on the image-side surface of the first lens element which is the second nearest to the optical axis to an axial point on the image-side surface of the first lens element is denoted by SGI122. The following relations are satisfied: SGI112=1.3178 mm and |SGI112|/(|SGI112|+TP1)=0.4052.
A distance perpendicular to the optical axis from the inflection point on the object-side surface of the first lens element which is nearest to the optical axis to an axial point on the object-side surface of the first lens element is denoted by HIF111. A distance perpendicular to the optical axis from the inflection point on the image-side surface of the first lens element which is nearest to the optical axis to an axial point on the image-side surface of the first lens element is denoted by HIF121. The following relations are satisfied: HIF111=0.5557 mm and HIF111/HOI=0.1111.
A distance perpendicular to the optical axis from the inflection point on the object-side surface of the first lens element which is the second nearest to the optical axis to an axial point on the object-side surface of the first lens element is denoted by HIF112. A distance perpendicular to the optical axis from the inflection point on the image-side surface of the first lens element which is the second nearest to the optical axis to an axial point on the image-side surface of the first lens element is denoted by HIF121. The following relations are satisfied: HIF112=5.3732 mm and HIF112/HOI=1.0746.
The second lens element 120 has positive refractive power and it is made of plastic material. The second lens element 120 has a convex object-side surface 122 and a convex image-side surface 124, and both of the object-side surface 122 and the image-side surface 124 are aspheric. The object-side surface 122 has an inflection point. The length of outline curve of the maximum effective half diameter position of the object-side surface of the second lens element is denoted as ARS21, and the length of outline curve of the maximum effective half diameter position of the image-side surface of the second lens element is denoted as ARS22. The length of outline curve of a half of an entrance pupil diameter (HEP) of the object-side surface of the second lens element is denoted as ARE21, and the length of outline curve of the half of the entrance pupil diameter (HEP) of the image-side surface of the second lens element is denoted as ARE22. The thickness of the second lens element on the optical axis is TP2.
A distance in parallel with an optical axis from an inflection point on the object-side surface of the second lens element which is nearest to the optical axis to an axial point on the object-side surface of the second lens element is denoted by SGI211. A distance in parallel with an optical axis from an inflection point on the image-side surface of the second lens element which is nearest to the optical axis to an axial point on the image-side surface of the second lens element is denoted by SGI221. The following relations are satisfied: SGI211=0.1069 mm, |SGI211|/(|SGI211|+TP2)=0.0412, SGI221=0 mm and |SGI221|/(|SGI221|+TP2)=0.
A distance perpendicular to the optical axis from the inflection point on the object-side surface of the second lens element which is nearest to the optical axis to an axial point on the object-side surface of the second lens element is denoted by HIF211. A distance perpendicular to the optical axis from the inflection point on the image-side surface of the second lens element which is nearest to the optical axis to an axial point on the image-side surface of the second lens element is denoted by HIF221. The following relations are satisfied: HIF211=1.1264 mm, HIF211/HOI=0.2253, HIF221=0 mm and HIF221/HOI=0.
The third lens element 130 has negative refractive power and it is made of plastic material. The third lens element 130 has a concave object-side surface 132 and a convex image-side surface 134, and both of the object-side surface 132 and the image-side surface 134 are aspheric. The object-side surface 132 and the image-side surface 134 both have an inflection point. The length of outline curve of the maximum effective half diameter position of the object-side surface of the third lens element is denoted as ARS31, and the length of outline curve of the maximum effective half diameter position of the image-side surface of the third lens element is denoted as ARS32. The length of outline curve of a half of an entrance pupil diameter (HEP) of the object-side surface of the third lens element is denoted as ARE31, and the length of outline curve of the half of the entrance pupil diameter (HEP) of the image-side surface of the third lens element is denoted as ARE32. The thickness of the third lens element on the optical axis is TP3.
A distance in parallel with an optical axis from an inflection point on the object-side surface of the third lens element which is nearest to the optical axis to an axial point on the object-side surface of the third lens element is denoted by SGI311. A distance in parallel with an optical axis from an inflection point on the image-side surface of the third lens element which is nearest to the optical axis to an axial point on the image-side surface of the third lens element is denoted by SGI321. The following relations are satisfied: SGI311=−0.3041 mm, SGI311|/(|SGI311|+TP3)=0.4445, SGI321=−0.1172 mm and |SGI321|/(|SGI321|+TP3)=0.2357.
A distance perpendicular to the optical axis between the inflection point on the object-side surface of the third lens element which is nearest to the optical axis and the optical axis is denoted by HIF311. A distance perpendicular to the optical axis from the inflection point on the image-side surface of the third lens element which is nearest to the optical axis to an axial point on the image-side surface of the third lens element is denoted by HIF321. The following relations are satisfied: HIF311=1.5907 mm, HIF311/HOI=0.3181, HIF321=1.3380 mm and HIF321/HOI=0.2676.
The fourth lens element 140 has positive refractive power and it is made of plastic material. The fourth lens element 140 has a convex object-side surface 142 and a concave image-side surface 144, both of the object-side surface 142 and the image-side surface 144 are aspheric, the object-side surface 142 has two inflection points, and the image-side surface 144 has an inflection point. The length of outline curve of the maximum effective half diameter position of the object-side surface of the fourth lens element is denoted as ARS41, and the length of outline curve of the maximum effective half diameter position of the image-side surface of the fourth lens element is denoted as ARS42. The length of outline curve of a half of an entrance pupil diameter (HEP) of the object-side surface of the fourth lens element is denoted as ARE41, and the length of outline curve of the half of the entrance pupil diameter (HEP) of the image-side surface of the fourth lens element is denoted as ARE42. The thickness of the fourth lens element on the optical axis is TP4.
A distance in parallel with an optical axis from an inflection point on the object-side surface of the fourth lens element which is nearest to the optical axis to an axial point on the object-side surface of the fourth lens element is denoted by SGI411. A distance in parallel with an optical axis from an inflection point on the image-side surface of the fourth lens element which is nearest to the optical axis to an axial point on the image-side surface of the fourth lens element is denoted by SGI421. The following relations are satisfied: SGI411=0.0070 mm, |SGI411|/(|SGI411|+TP4)=0.0056, SGI421=0.0006 mm and |SGI421|/(SGI421|+TP4)=0.0005.
A distance in parallel with an optical axis from an inflection point on the object-side surface of the fourth lens element which is the second nearest to the optical axis to an axial point on the object-side surface of the fourth lens element is denoted by SGI412. A distance in parallel with an optical axis from an inflection point on the image-side surface of the fourth lens element which is the second nearest to the optical axis to an axial point on the image-side surface of the fourth lens element is denoted by SGI422. The following relations are satisfied: SGI412=−0.2078 mm and |SGI412|/(|SGI412|+TP4)=0.1439.
A distance perpendicular to the optical axis between the inflection point on the object-side surface of the fourth lens element which is nearest to the optical axis and the optical axis is denoted by HIF411. A distance perpendicular to the optical axis between the inflection point on the image-side surface of the fourth lens element which is nearest to the optical axis and the optical axis is denoted by HIF421. The following relations are satisfied: HIF411=0.4706 mm, HIF411/HOI=0.0941, HIF421=0.1721 mm and HIF421/HOI=0.0344.
A distance perpendicular to the optical axis between the inflection point on the object-side surface of the fourth lens element which is the second nearest to the optical axis and the optical axis is denoted by HIF412. A distance perpendicular to the optical axis between the inflection point on the image-side surface of the fourth lens element which is the second nearest to the optical axis and the optical axis is denoted by HIF422. The following relations are satisfied: HIF412=2.0421 mm and HIF412/HOI=0.4084.
The fifth lens element 150 has positive refractive power and it is made of plastic material. The fifth lens element 150 has a convex object-side surface 152 and a convex image-side surface 154, and both of the object-side surface 152 and the image-side surface 154 are aspheric. The object-side surface 152 has two inflection points and the image-side surface 154 has an inflection point. The length of outline curve of the maximum effective half diameter position of the object-side surface of the fifth lens element is denoted as ARS51, and the length of outline curve of the maximum effective half diameter position of the image-side surface of the fifth lens element is denoted as ARS52. The length of outline curve of a half of an entrance pupil diameter (HEP) of the object-side surface of the fifth lens element is denoted as ARE51, and the length of outline curve of the half of the entrance pupil diameter (HEP) of the image-side surface of the fifth lens element is denoted as ARE52. The thickness of the fifth lens element on the optical axis is TP5.
A distance in parallel with an optical axis from an inflection point on the object-side surface of the fifth lens element which is nearest to the optical axis to an axial point on the object-side surface of the fifth lens element is denoted by SGI511. A distance in parallel with an optical axis from an inflection point on the image-side surface of the fifth lens element which is nearest to the optical axis to an axial point on the image-side surface of the fifth lens element is denoted by SGI521. The following relations are satisfied: SGI511=0.00364 mm, |SGI511|/(|SGI511|+TP5)=0.00338, SGI521=−0.63365 mm and |SGI521|/(|SGI521|+TP5)=0.37154.
A distance in parallel with an optical axis from an inflection point on the object-side surface of the fifth lens element which is the second nearest to the optical axis to an axial point on the object-side surface of the fifth lens element is denoted by SGI512. A distance in parallel with an optical axis from an inflection point on the image-side surface of the fifth lens element which is the second nearest to the optical axis to an axial point on the image-side surface of the fifth lens element is denoted by SGI522. The following relations are satisfied: SGI512=−0.32032 mm and |SGI512|/(|SGI512|+TP5)=0.23009.
A distance in parallel with an optical axis from an inflection point on the object-side surface of the fifth lens element which is the third nearest to the optical axis to an axial point on the object-side surface of the fifth lens element is denoted by SGI513. A distance in parallel with an optical axis from an inflection point on the image-side surface of the fifth lens element which is the third nearest to the optical axis to an axial point on the image-side surface of the fifth lens element is denoted by SGI523. The following relations are satisfied: SGI513=0 mm, |SGI513|/(|SGI513|+TP5)=0, SGI523=0 mm and |SGI523|/(|SGI523|+TP5)=0.
A distance in parallel with an optical axis from an inflection point on the object-side surface of the fifth lens element which is the fourth nearest to the optical axis to an axial point on the object-side surface of the fifth lens element is denoted by SGI514. A distance in parallel with an optical axis from an inflection point on the image-side surface of the fifth lens element which is the fourth nearest to the optical axis to an axial point on the image-side surface of the fifth lens element is denoted by SGI524. The following relations are satisfied: SGI514=0 mm, |SGI514|/(|SGI514|+TP5)=0, SGI524=0 mm and |SGI524|/(|SGI524|+TP5)=0.
A distance perpendicular to the optical axis between the inflection point on the object-side surface of the fifth lens element which is nearest to the optical axis and the optical axis is denoted by HIF511. A distance perpendicular to the optical axis between the inflection point on the image-side surface of the fifth lens element which is nearest to the optical axis and the optical axis is denoted by HIF521. The following relations are satisfied: HIF511=0.28212 mm, HIF511/HOI=0.05642, HIF521=2.13850 mm and HIF521/HOI=0.42770.
A distance perpendicular to the optical axis between the inflection point on the object-side surface of the fifth lens element which is the second nearest to the optical axis and the optical axis is denoted by HIF512. A distance perpendicular to the optical axis between the inflection point on the image-side surface of the fifth lens element which is the second nearest to the optical axis and the optical axis is denoted by HIF522. The following relations are satisfied: HIF512=2.51384 mm and HIF512/HOI=0.50277.
A distance perpendicular to the optical axis between the inflection point on the object-side surface of the fifth lens element which is the third nearest to the optical axis and the optical axis is denoted by HIF513. A distance perpendicular to the optical axis between the inflection point on the image-side surface of the fifth lens element which is the third nearest to the optical axis and the optical axis is denoted by HIF523. The following relations are satisfied: HIF513=0 mm, HIF513/HOI=0, HIF523=0 mm and HIF523/HOI=0.
A distance perpendicular to the optical axis between the inflection point on the object-side surface of the fifth lens element which is the fourth nearest to the optical axis and the optical axis is denoted by HIF514. A distance perpendicular to the optical axis between the inflection point on the image-side surface of the fifth lens element which is the fourth nearest to the optical axis and the optical axis is denoted by HIF524. The following relations are satisfied: HIF514=0 mm, HIF514/HOI=0, HIF524=0 mm and HIF524/HOI=0.
The sixth lens element 160 has negative refractive power and it is made of plastic material. The sixth lens element 160 has a concave object-side surface 162 and a concave image-side surface 164, and the object-side surface 162 has two inflection points and the image-side surface 164 has an inflection point. Hereby, the angle of incident of each view field on the sixth lens element can be effectively adjusted and the spherical aberration can thus be improved. The length of outline curve of the maximum effective half diameter position of the object-side surface of the sixth lens element is denoted as ARS61, and the length of outline curve of the maximum effective half diameter position of the image-side surface of the sixth lens element is denoted as ARS62. The length of outline curve of a half of an entrance pupil diameter (HEP) of the object-side surface of the sixth lens element is denoted as ARE61, and the length of outline curve of the half of the entrance pupil diameter (HEP) of the image-side surface of the sixth lens element is denoted as ARE62. The thickness of the sixth lens element on the optical axis is TP6.
A distance in parallel with an optical axis from an inflection point on the object-side surface of the sixth lens element which is nearest to the optical axis to an axial point on the object-side surface of the sixth lens element is denoted by SGI611. A distance in parallel with an optical axis from an inflection point on the image-side surface of the sixth lens element which is nearest to the optical axis to an axial point on the image-side surface of the sixth lens element is denoted by SGI621. The following relations are satisfied: SGI611=−0.38558 mm, |SGI611|/(|SGI611|+TP6)=0.27212, SGI621=0.12386 mm and |SGI621|/(|SGI621|+TP6)=0.10722.
A distance in parallel with an optical axis from an inflection point on the object-side surface of the sixth lens element which is the second nearest to the optical axis to an axial point on the object-side surface of the sixth lens element is denoted by SGI612. A distance in parallel with an optical axis from an inflection point on the image-side surface of the sixth lens element which is the second nearest to the optical axis to an axial point on the image-side surface of the sixth lens element is denoted by SGI622. The following relations are satisfied: SGI612=−0.47400 mm, |SGI612|/(|SGI612|+TP6)=0.31488, SGI622=0 mm and |SGI622|/(|SGI622|+TP6)=0.
A distance perpendicular to the optical axis between the inflection point on the object-side surface of the sixth lens element which is nearest to the optical axis and the optical axis is denoted by HIF611. A distance perpendicular to the optical axis between the inflection point on the image-side surface of the sixth lens element which is nearest to the optical axis and the optical axis is denoted by HIF621. The following relations are satisfied: HIF611=2.24283 mm, HIF611/HOI=0.44857, HIF621=1.07376 mm and HIF621/HOI=0.21475.
A distance perpendicular to the optical axis between the inflection point on the object-side surface of the sixth lens element which is the second nearest to the optical axis and the optical axis is denoted by HIF612. A distance perpendicular to the optical axis between the inflection point on the image-side surface of the sixth lens element which is the second nearest to the optical axis and the optical axis is denoted by HIF622. The following relations are satisfied: HIF612=2.48895 mm and HIF612/HOI=0.49779.
A distance perpendicular to the optical axis between the inflection point on the object-side surface of the sixth lens element which is the third nearest to the optical axis and the optical axis is denoted by HIF613. A distance perpendicular to the optical axis between the inflection point on the image-side surface of the sixth lens element which is the third nearest to the optical axis and the optical axis is denoted by HIF623. The following relations are satisfied: HIF613=0 mm, HIF613/HOI=0, HIF623=0 mm and HIF623/HOI=0.
A distance perpendicular to the optical axis between the inflection point on the object-side surface of the sixth lens element which is the fourth nearest to the optical axis and the optical axis is denoted by HIF614. A distance perpendicular to the optical axis between the inflection point on the image-side surface of the sixth lens element which is the fourth nearest to the optical axis and the optical axis is denoted by HIF624. The following relations are satisfied: HIF614=0 mm, HIF614/HOI=0, HIF624=0 mm and HIF624/HOI=0.
The IR-bandstop filter 180 is made of glass material without affecting the focal length of the optical image capturing system and it is disposed between the sixth lens element 160 and the image plane 190.
In the optical image capturing system of the first embodiment, a focal length of the optical image capturing system is f, an entrance pupil diameter of the optical image capturing system is HEP, and half of a maximum view angle of the optical image capturing system is HAF. The detailed parameters are shown as below: f=4.075 mm, f/HEP=1.4, HAF=50.001° and tan(HAF)=1.1918.
In the optical image capturing system of the first embodiment, a focal length of the first lens element 110 is f1 and a focal length of the sixth lens element 160 is f6. The following relations are satisfied: f1=−7.828 mm, |f/f1|=0.52060, f6=−4.886 and |f1|>|f6|.
In the optical image capturing system of the first embodiment, focal lengths of the second lens element 120 to the fifth lens element 150 are f2, f3, f4 and f5, respectively. The following relations are satisfied: |f2|+|f3|+|f4|+|f5|=95.50815 mm, |f1|≠|f6 12.71352 mm and |f2|+|f3|+|f4|+|f5|>|f1|+f6
A ratio of the focal length f of the optical image capturing system to a focal length fp of each of lens elements with positive refractive power is PPR. A ratio of the focal length f of the optical image capturing system to a focal length fn of each of lens elements with negative refractive power is NPR. In the optical image capturing system of the first embodiment, a sum of the PPR of all lens elements with positive refractive power is ΣPPR=f/f1+f/f3+f/f5=1.63290. A sum of the NPR of all lens elements with negative refractive powers is ΣNPR=|f/f1+|f/f3|+|f/f6|=1.51305, ΣPPR/|ΣNPR|=1.07921. The following relations are also satisfied: f/f2|=0.69101, |f/f3|=0.15834, |f/f4|=0.06883, |f/f5=0.87305 and |f/f6|=0.83412.
In the optical image capturing system of the first embodiment, a distance from the object-side surface 112 of the first lens element to the image-side surface 164 of the sixth lens element is InTL. A distance from the object-side surface 112 of the first lens element to the image plane 190 is HOS. A distance from an aperture 100 to an image plane 190 is InS. Half of a diagonal length of an effective detection field of the image sensing device 192 is HOI. A distance from the image-side surface 164 of the sixth lens element to the image plane 190 is BFL. The following relations 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.
In the optical image capturing system of the first embodiment, a total central thickness of all lens elements with refractive power on the optical axis is ΣTP. The following relations are satisfied: ΣTP=8.13899 mm and ΣTP/InTL=0.52477. Hereby, contrast ratio for the image formation in the optical image capturing system and defect-free rate for manufacturing the lens element can be given consideration simultaneously, and a proper back focal length is provided to dispose other optical components in the optical image capturing system.
In the optical image capturing system of the first embodiment, a curvature radius of the object-side surface 112 of the first lens element is R1. A curvature radius of the image-side surface 114 of the first lens element is R2. The following relation is satisfied: |R1/R2|=8.99987. Hereby, the first lens element may have proper strength of the positive refractive power, so as to avoid the longitudinal spherical aberration to increase too fast.
In the optical image capturing system of the first embodiment, a curvature radius of the object-side surface 162 of the sixth lens element is R11. A curvature radius of the image-side surface 164 of the sixth lens element is R12. The following relation is satisfied: (R11−R12)/(R11+R12)=1.27780. Hereby, the astigmatism generated by the optical image capturing system can be corrected beneficially.
In the optical image capturing system of the first embodiment, a sum of focal lengths of all lens elements with positive refractive power is ΣPP. The following relations are satisfied: ΣPP=f2+f4+f5=69.770 mm and f5/(f2+f4+f5)=0.067. Hereby, it is favorable for allocating the positive refractive power of the first lens element 110 to other positive lens elements and the significant aberrations generated in the process of moving the incident light can be suppressed.
In the optical image capturing system of the first embodiment, a sum of focal lengths of all lens elements with negative refractive power is ΣNP. The following relations are satisfied: ΣNP=f1+f3+f6=−38.451 mm and f6/(f1+f3+f6)=0.127. Hereby, it is favorable for allocating the negative refractive power of the sixth lens element 160 to other negative lens elements and the significant aberrations generated in the process of moving the incident light can be suppressed.
In the optical image capturing system of the first embodiment, a distance between the first lens element 110 and the second lens element 120 on the optical axis is IN12. The following relations are satisfied: IN12=6.418 mm and IN12/f=1.57491. Hereby, the chromatic aberration of the lens elements can be improved, such that the performance can be increased.
In the optical image capturing system of the first embodiment, a distance between the fifth lens element 150 and the sixth lens element 160 on the optical axis is IN56. The following relations are satisfied: IN56=0.025 mm and IN56/f=0.00613. Hereby, the chromatic aberration of the lens elements can be improved, such that the performance can be increased.
In the optical image capturing system of the first embodiment, central thicknesses of the first lens element 110 and the second lens element 120 on the optical axis are TP1 and TP2, respectively. The following relations are satisfied: TP1=1.934 mm, TP2=2.486 mm and (TP1+IN12)/TP2=3.36005. Hereby, the sensitivity produced by the optical image capturing system can be controlled, and the performance can be increased.
In the optical image capturing system of the first embodiment, central thicknesses of the fifth lens element 150 and the sixth lens element 160 on the optical axis are TP5 and TP6, respectively, and a distance between the aforementioned two lens elements on the optical axis is IN56. The following relations are satisfied: TP5=1.072 mm, TP6=1.031 mm and (TP6+IN56)/TP5=0.98555. 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.
In the optical image capturing system of the first embodiment, a distance between the third lens element 130 and the fourth lens element 140 on the optical axis is IN34. A distance between the fourth lens element 140 and the fifth lens element 150 on the optical axis is IN45. The following relations are satisfied: IN34=0.401 mm, IN45=0.025 mm and TP4/(IN34+TP4+IN45)=0.74376. Hereby, the aberration generated by the process of moving the incident light can be adjusted slightly layer upon layer, and the total height of the optical image capturing system can be reduced.
In the optical image capturing system of the first embodiment, a distance in parallel with an optical axis from a maximum effective half diameter position to an axial point on the object-side surface 152 of the fifth lens element is InRS51. A distance in parallel with an optical axis from a maximum effective half diameter position to an axial point on the image-side surface 154 of the fifth lens element is InRS52. A central thickness of the fifth lens element 150 is TP5. The following relations are satisfied: InRS51=−0.34789 mm, InRS52=−0.88185 mm, |InRS51|/TP5=0.32458 and |InRS52 5|/=0.82276. Hereby, it is favorable for manufacturing and forming the lens element and for maintaining the minimization for the optical image capturing system.
In the optical image capturing system of the first embodiment, a distance perpendicular to the optical axis between a critical point C51 on the object-side surface 152 of the fifth lens element and the optical axis is HVT51. A distance perpendicular to the optical axis between a critical point C52 on the image-side surface 154 of the fifth lens element and the optical axis is HVT52. The following relations are satisfied: HVT51=0.515349 mm and HVT52=0 mm.
In the optical image capturing system of the first embodiment, a distance in parallel with an optical axis from a maximum effective half diameter position to an axial point on the object-side surface 162 of the sixth lens element is InRS61. A distance in parallel with an optical axis from a maximum effective half diameter position to an axial point on the image-side surface 164 of the sixth lens element is InRS62. A central thickness of the sixth lens element 160 is TP6. The following relations are satisfied: InRS61=−0.58390 mm, InRS62=0.41976 mm, |InRS61|/TP6=0.56616 and |InRS62 |/TP6=0.40700. Hereby, it is favorable for manufacturing and forming the lens element and for maintaining the minimization for the optical image capturing system.
In the optical image capturing system of the first embodiment, a distance perpendicular to the optical axis between a critical point C61 on the object-side surface 162 of the sixth lens element and the optical axis is HVT61. A distance perpendicular to the optical axis between a critical point C62 on the image-side surface 164 of the sixth lens element and the optical axis is HVT62. The following relations are satisfied: HVT61=0 mm and HVT62=0 mm.
In the optical image capturing system of the first embodiment, the following relation is satisfied: HVT51/HOI=0.1031. Hereby, the aberration of surrounding view field can be corrected.
In the optical image capturing system of the first embodiment, the following relation is satisfied: HVT51/HOS=0.02634. Hereby, the aberration of surrounding view field can be corrected.
In the optical image capturing system of the first embodiment, the second lens element 120, the third lens element 130 and the sixth lens element 160 have negative refractive power. An Abbe number of the second lens element is NA2. An Abbe number of the third lens element is NA3. An Abbe number of the sixth lens element is NA6. The following relation is satisfied: NA6/NA2≦1. Hereby, the chromatic aberration of the optical image capturing system can be corrected.
In the optical image capturing system of the first embodiment, TV distortion and optical distortion for image formation in the optical image capturing system are TDT and ODT, respectively. The following relations are satisfied: |TDT|=2.124% and |ODT|=5.076%.
In the optical image capturing system of the first embodiment, a lateral aberration of the longest operation wavelength of a visible light of a positive direction tangential fan of the optical image capturing system passing through an edge of the aperture and incident on the image plane by 0.7 view field is denoted as PLTA, which is 0.006 mm. A lateral aberration of the shortest operation wavelength of a visible light of the positive direction tangential fan of the optical image capturing system passing through the edge of the aperture and incident on the image plane by 0.7 view field is denoted as PSTA, which is 0.005 mm. A lateral aberration of the longest operation wavelength of a visible light of a negative direction tangential fan of the optical image capturing system passing through the edge of the aperture and incident on the image plane by 0.7 view field is denoted as NLTA, which is 0.004 mm. A lateral aberration of the shortest operation wavelength of a visible light of a negative direction tangential fan of the optical image capturing system passing through the edge of the aperture and incident on the image plane by 0.7 view field is denoted as NSTA, which is −0.007 mm. A lateral aberration of the longest operation wavelength of a visible light of a sagittal fan of the optical image capturing system passing through the edge of the aperture and incident on the image plane by 0.7 view field is denoted as SLTA, which is −0.003 mm. A lateral aberration of the shortest operation wavelength of a visible light of the sagittal fan of the optical image capturing system passing through the edge of the aperture and incident on the image plane by 0.7 view field is denoted as SSTA, which is 0.008 mm.
Please refer to the following Table 1 and Table 2.
The detailed data of the optical image capturing system of the first embodiment is as shown in Table 1.

TABLE 1

Data of the optical image capturing system
f = 5.709 mm, f/HEP = 1.9, HAF = 52.5 deg

						Focal
Surface #	Curvature Radius	Thickness	Material	Index	Abbe #	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	Ape. stop	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 5	8.987806345	1.072	Plastic	1.515	56.55	4.668
11		−3.158875374	0.025
12	Lens 6	−29.46491425	1.031	Plastic	1.642	22.46	−4.886
13		3.593484273	2.412
14	IR-bandstop	Plano	0.200		1.517	64.13
	filter
15		Plano	1.420
16	Image plane	Plano

Reference wavelength (d-line) = 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.

As for the parameters of the aspheric surfaces of the first embodiment, reference is made to Table 2.

TABLE 2

Aspheric Coefficients

Surface #

	1	2	4	5	6	7

k	4.310876E+01	−4.707622E+00	2.616025E+00	2.445397E+00	5.645686E+00	−2.117147E+01
A4	7.054243E−03	1.714312E−02	−8.377541E−03	−1.789549E−02	−3.379055E−03	−1.370959E−02
A6	−5.233264E−04	−1.502232E−04	−1.838068E−03	−3.657520E−03	−1.225453E−03	6.250200E−03
A8	3.077890E−05	−1.359611E−04	1.233332E−03	−1.131622E−03	−5.979572E−03	−5.854426E−03
A10	−1.260650E−06	2.680747E−05	−2.390895E−03	1.390351E−03	4.556449E−03	4.049451E−03
A12	3.319093E−08	−2.017491E−06	1.998555E−03	−4.152857E−04	−1.177175E−03	−1.314592E−03
A14	−5.051600E−10	6.604615E−08	−9.734019E−04	5.487286E−05	1.370522E−04	2.143097E−04
A16	3.380000E−12	−1.301630E−09	2.478373E−04	−2.919339E−06	−5.974015E−06	−1.399894E−05

Surface #

	8	9	10	11	12	13

k	−5.287220E+00	6.200000E+01	−2.114008E+01	−7.699904E+00	−6.155476E+01	−3.120467E−01
A4	−2.937377E−02	−1.359965E−01	−1.263831E−01	−1.927804E−02	−2.492467E−02	−3.521844E−02
A6	2.743532E−03	6.628518E−02	6.965399E−02	2.478376E−03	−1.835360E−03	5.629654E−03
A8	−2.457574E−03	−2.129167E−02	−2.116027E−02	1.438785E−03	3.201343E−03	−5.466925E−04
A10	1.874319E−03	4.396344E−03	3.819371E−03	−7.013749E−04	−8.990757E−04	2.231154E−05
A12	−6.013661E−04	−5.542899E−04	−4.040283E−04	1.253214E−04	1.245343E−04	5.548990E−07
A14	8.792480E−05	3.768879E−05	2.280473E−05	−9.943196E−06	−8.788363E−06	−9.396920E−08
A16	−4.770527E−06	−1.052467E−06	−5.165452E−07	2.898397E−07	2.494302E−07	2.728360E−09

The numerical related to the length of outline curve is shown according to table 1 and table 2.


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%

Table 1 is the detailed structure data to the first embodiment in FIG. 1A, 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 plane in the optical image capturing system. Table 2 is the aspheric coefficients of the first embodiment, wherein k is the conic coefficient in the aspheric surface formula, and A1-A20 are the first to the twentieth order aspheric surface coefficient. Besides, the tables in the following embodiments are referenced to the schematic view and the aberration graphs, respectively, and definitions of parameters in the tables are equal to those in the Table 1 and the Table 2, so the repetitious details will not be given here.

The Second Embodiment (Embodiment 2)

Please refer to FIG. 2A, FIG. 2B and FIG. 2C, FIG. 2A is a schematic view of the optical image capturing system according to the second embodiment of the present application, FIG. 2B is longitudinal spherical aberration curves, astigmatic field curves, and an optical distortion curve of the optical image capturing system in the order from left to right according to the second embodiment of the present application, and FIG. 2C is a lateral aberration diagram of tangential fan, sagittal fan, the longest operation wavelength and the shortest operation wavelength passing through an edge of the entrance pupil and incident on the image plane by 0.7 HOI according to the second embodiment of the present application. As shown in FIG. 2A, in order from an object side to an image side, the optical image capturing system includes an aperture stop 200, a first lens element 210, a second lens element 220, a third lens element 230, a fourth lens element 240, a fifth lens element 250, a sixth lens element 260, an IR-bandstop filter 280, an image plane 290, and an image sensing device 292.
The first lens element 210 has positive refractive power and it is made of plastic material. The first lens element 210 has a convex object-side surface 212 and a concave image-side surface 214, and both of the object-side surface 212 and the image-side surface 214 are aspheric. The object-side surface 212 has one inflection point and the image-side surface 214 has two inflection points.
The second lens element 220 has positive refractive power and it is made of plastic material. The second lens element 220 has a concave object-side surface 222 and a convex image-side surface 224, and both of the object-side surface 222 and the image-side surface 224 are aspheric. The object-side surface 222 has one inflection point.
The third lens element 230 has negative refractive power and it is made of plastic material. The third lens element 230 has a convex object-side surface 232 and a concave image-side surface 234, and both of the object-side surface 232 and the image-side surface 234 are aspheric and have one inflection point.
The fourth lens element 240 has positive refractive power and it is made of plastic material. The fourth lens element 240 has a convex object-side surface 242 and a concave image-side surface 244, and both of the object-side surface 242 and the image-side surface 244 are aspheric. The object-side surface 242 has two inflection points and the image-side surface 244 has one inflection point.
The fifth lens element 250 has positive refractive power and it is made of plastic material. The fifth lens element 250 has a concave object-side surface 252 and a convex image-side surface 254, and both of the object-side surface 252 and the image-side surface 254 are aspheric and have one inflection point.
The sixth lens element 260 has negative refractive power and it is made of plastic material. The sixth lens element 260 has a convex object-side surface 262 and a concave image-side surface 264. The object-side surface 262 and the image-side surface 264 both have an inflection point. Hereby, the back focal length is reduced to miniaturize the lens element effectively. In addition, the angle of incident with incoming light from an off-axis view field can be suppressed effectively and the aberration in the off-axis view field can be corrected further.
The IR-bandstop filter 280 is made of glass material without affecting the focal length of the optical image capturing system and it is disposed between the sixth lens element 260 and the image plane 290.
Please refer to the following Table 3 and Table 4.
The detailed data of the optical image capturing system of the second embodiment is as shown in Table 3.

TABLE 3

Data of the optical image capturing system
f = 5.707 mm; f/HEP = 1.6; HAF = 52.5 deg

						Focal
Surface #	Curvature Radius	Thickness	Material	Index	Abbe #	length

0	Object	1E+18	1E+18
1	Ape. stop	1E+18	−0.036
2	Lens 1	6.036213574	0.518	Plastic	1.545	55.96	19.801
3		13.24304845	0.000
4		1E+18	0.232
5	Lens 2	−62.64279364	0.844	Plastic	1.545	55.96	7.624
6		−3.923832597	0.102
7	Lens 3	70.09073414	0.375	Plastic	1.642	22.46	−9.627
8		5.713407208	0.425
9	Lens 4	5.410297655	0.560	Plastic	1.545	55.96	4185.470
10		5.224726374	0.665
11	Lens 5	−4.801579402	1.600	Plastic	1.545	55.96	5.637
12		−2.097031856	0.100
13	Lens 6	3.305317037	1.267	Plastic	1.642	22.46	−10.827
14		1.908023909	1.125
15	IR-bandstop	1E+18	0.500	BK_7	1.517	64.13
	filter
16		1E+18	1.120
17	Image plane	1E+18	0.000

Reference wavelength (d-line) = 555 nm; shield position: The clear aperture of the fourth surface is 1.775 mm. The clear aperture of the fourteenth surface is 5.700 mm.

As for the parameters of the aspheric surfaces of the second embodiment, reference is made to Table 4.

TABLE 4

Aspheric Coefficients

Surface #

	2	3	5	6	7	8	9

k	−6.314185E+01	0.000000E+00	0.000000E+00	0.000000E+00	0.000000E+00	−1.467947E+01	0.000000E+00
A4	3.066417E−02	−2.026618E−02	−1.198953E−02	1.131874E−02	−3.866908E−03	−1.152610E−02	−3.927873E−02
A6	−3.762153E−02	3.044264E−03	−1.876255E−03	−9.448153E−03	1.826628E−03	7.676436E−03	1.542999E−02
A8	2.535718E−02	−8.016835E−03	9.863063E−04	3.731846E−03	−5.681795E−03	−4.225298E−03	−7.616286E−03
A10	−1.245126E−02	5.577652E−03	1.133218E−05	−9.048450E−04	3.611902E−03	1.272060E−03	2.166137E−03
A12	3.593934E−03	−2.047977E−03	−8.343584E−06	8.306695E−05	−1.290856E−03	−2.433736E−04	−3.449169E−04
A14	−5.657961E−04	4.019777E−04	0.000000E+00	0.000000E+00	2.302359E−04	2.697043E−05	2.978784E−05
A16	3.889798E−05	−3.091256E−05	0.000000E+00	0.000000E+00	−1.575421E−05	−1.264532E−06	−1.085498E−06
A18	1.181643E−09	0.000000E+00	0.000000E+00	0.000000E+00	0.000000E+00	0.000000E+00	0.000000E+00
A20	0.000000E+00	0.000000E+00	0.000000E+00	0.000000E+00	0.000000E+00	0.000000E+00	0.000000E+00

Surface #

	10	11	12	13	14

k	0.000000E+00	−3.962856E+00	−1.579952E+00	−1.865914E+00	−9.290915E−01
A4	−2.578269E−02	2.833879E−03	9.325784E−04	−9.773955E−03	−4.021916E−02
A6	8.299765E−03	9.883642E−04	−3.914018E−03	−3.299692E−03	4.526607E−03
A8	−3.230507E−03	−1.364585E−03	8.656147E−04	1.102619E−03	−3.708414E−04
A10	7.545547E−04	6.138207E−04	−9.875330E−05	−1.547388E−04	1.915900E−05
A12	−9.969535E−05	−1.190701E−04	6.901586E−06	1.148136E−05	−5.972630E−07
A14	5.774231E−06	9.469514E−06	−2.460903E−07	−4.394548E−07	1.019700E−08
A16	−7.830634E−08	−2.401092E−07	7.458309E−09	6.786033E−09	−7.357219E−11

In the second embodiment, the presentation of the aspheric surface formula is similar to that in the first embodiment. Besides, the definitions of parameters in following tables are equal to those in the first embodiment, so the repetitious details will not be given here.
The following contents may be deduced from Table 3 and Table 4.


Second embodiment (Primary reference wavelength = 555 nm)

\| f/f1 \|	\| f/f2 \|	\| f/f3 \|	\| f/f4 \|	\| f/f5 \|	\| f/f6 \|
0.28819	0.74848	0.59276	0.00136	1.01232	0.52707
Σ PPR	Σ NPR	Σ PPR/\| Σ NPR \|	IN12/f	IN56/f	TP4/(IN34 + TP4 + IN45)
1.89464	1.27555	1.48535	0.04071	0.01752	0.33957

\| f1/f2 \|	\| f2/f3 \|	(TP1 + IN12)/TP2	(TP6 + IN56)/TP5
2.59720	0.79195	0.88920	0.85415

HOS	InTL	HOS/HOI	InS/HOS	ODT %	TDT %
9.43340	6.68886	1.25779	0.99620	1.58367	0.34800
HVT51	HVT52	HVT61	HVT62	HVT62/HOI	HVT62/HOS
0	0	2.57427	3.75430	0.50057	0.39798
HVT21	HVT22	HVT31	HVT32	HVT41	HVT42
0.000	0.000	0.830	1.890	1.409	1.830
TP2/TP3	TP3/TP4	InRS61	InRS62	\| InRS61 \|/TP6	\| InRS62 \|/TP6
2.25128	0.66932	−0.52259	−0.39924	0.41258	0.31520
PLTA	PSTA	NLTA	NSTA	SLTA	SSTA
0.019 mm	−0.010 mm	0.028 mm	−0.027 mm	−0.008 mm	−0.009 mm

The numerical related to the length of outline curve is shown according to table 3 and table 4.


Second embodiment (Reference wavelength = 555 nm)

ARE	1/2(HEP)	ARE value	ARE − 1/2(HEP)	2(ARE/HEP) %	TP	ARE/TP (%)

11	1.778	1.786	0.008	100.45%	0.518	344.46%
12	1.777	1.790	0.013	100.74%	0.518	345.23%
21	1.783	1.789	0.005	100.31%	0.844	211.88%
22	1.783	1.860	0.076	104.28%	0.844	220.27%
31	1.783	1.795	0.012	100.66%	0.375	478.70%
32	1.783	1.791	0.008	100.43%	0.375	477.59%
41	1.783	1.787	0.004	100.22%	0.560	319.00%
42	1.783	1.790	0.007	100.40%	0.560	319.56%
51	1.783	1.810	0.026	101.47%	1.600	113.10%
52	1.783	1.974	0.190	110.67%	1.600	123.35%
61	1.783	1.817	0.033	101.87%	1.267	143.42%
62	1.783	1.880	0.097	105.42%	1.267	148.42%

ARS	EHD	ARS value	ARS − EHD	(ARS/EHD) %	TP	ARS/TP (%)

11	1.778	1.786	0.008	100.45%	0.518	344.46%
12	1.777	1.790	0.013	100.74%	0.518	345.23%
21	1.870	1.875	0.005	100.27%	0.844	222.09%
22	2.027	2.163	0.136	106.69%	0.844	256.22%
31	2.147	2.224	0.077	103.60%	0.375	593.13%
32	2.547	2.564	0.017	100.68%	0.375	683.82%
41	2.682	2.706	0.024	100.90%	0.560	482.97%
42	2.807	3.011	0.204	107.26%	0.560	537.36%
51	2.828	3.029	0.201	107.12%	1.600	189.30%
52	3.011	3.646	0.635	121.08%	1.600	227.85%
61	4.150	4.559	0.409	109.84%	1.267	359.92%
62	5.700	6.526	0.826	114.49%	1.267	515.22%

The following contents may be deduced from Table 3 and Table 4.


Related inflection point values of second embodiment
(Primary reference wavelength: 555 nm)

HIF111	0.9263	HIF111/HOI	0.1235	SGI111	0.0633	\|SGI111\|/(\|SGI111\| + TP1)	0.1089
HIF121	0.5556	HIF121/HOI	0.0741	SGI121	0.0098	\|SGI121\|/(\|SGI121\| + TP1)	0.0185
HIF122	1.7094	HIF122/HOI	0.2279	SGI122	−0.0905	\|SGI122\|/(\|SGI122\| + TP1)	0.1486
HIF211	1.5295	HIF211/HOI	0.2039	SGI211	−0.0793	\|SGI211\|/(\|SGI211\| + TP2)	0.0859
HIF311	0.5335	HIF311/HOI	0.0711	SGI311	0.0017	\|SGI311\|/(\|SGI311\| + TP3)	0.0046
HIF321	1.1734	HIF321/HOI	0.1564	SGI321	0.0947	\|SGI321\|/(\|SGI321\| + TP3)	0.2016
HIF411	0.7870	HIF411/HOI	0.1049	SGI411	0.0452	\|SGI411\|/(\|SGI411\| + TP4)	0.0746
HIF412	2.2060	HIF412/HOI	0.2941	SGI412	−0.0385	\|SGI412\|/(\|SGI412\| + TP4)	0.0643
HIF421	1.0624	HIF421/HOI	0.1417	SGI421	0.0842	\|SGI421\|/(\|SGI421\| + TP4)	0.1306
HIF521	2.4161	HIF521/HOI	0.3221	SGI521	−1.3792	\|SGI521\|/(\|SGI521\| + TP5)	0.4630
HIF611	1.2374	HIF611/HOI	0.1650	SGI611	0.1951	\|SGI611\|/(\|SGI611\| + TP6)	0.1335
HIF621	1.3949	HIF621/HOI	0.1860	SGI621	0.3911	\|SGI621\|/(\|SGI621\| + TP6)	0.2359

The Third Embodiment (Embodiment 3)

Please refer to FIG. 3A, FIG. 3B and FIG. 3C, FIG. 3A is a schematic view of the optical image capturing system according to the third embodiment of the present application, FIG. 3B is longitudinal spherical aberration curves, astigmatic field curves, and an optical distortion curve of the optical image capturing system in the order from left to right according to the third embodiment of the present application, and FIG. 3C is a lateral aberration diagram of tangential fan, sagittal fan, the longest operation wavelength and the shortest operation wavelength passing through an edge of the entrance pupil and incident on the image plane by 0.7 HOI according to the third embodiment of the present application. As shown in FIG. 3A, in order from an object side to an image side, the optical image capturing system includes an aperture stop 300, a first lens element 310, a second lens element 320, a third lens element 330, a fourth lens element 340, a fifth lens element 350, a sixth lens element 360, an IR-bandstop filter 380, an image plane 390, and an image sensing device 392.
The first lens element 310 has positive refractive power and it is made of plastic material. The first lens element 310 has a convex object-side surface 312 and a concave image-side surface 314, and both of the object-side surface 312 and the image-side surface 314 are aspheric and have one inflection point.
The second lens element 320 has negative refractive power and it is made of plastic material. The second lens element 320 has a convex object-side surface 322 and a concave image-side surface 324, and both of the object-side surface 322 and the image-side surface 324 are aspheric and have one inflection point.
The third lens element 330 has negative refractive power and it is made of plastic material. The third lens element 330 has a convex object-side surface 332 and a concave image-side surface 334, and both of the object-side surface 332 and the image-side surface 334 are aspheric and have two inflection points.
The fourth lens element 340 has positive refractive power and it is made of plastic material. The fourth lens element 340 has a convex object-side surface 342 and a concave image-side surface 344, and both of the object-side surface 342 and the image-side surface 344 are aspheric and have two inflection points.
The fifth lens element 350 has positive refractive power and it is made of plastic material. The fifth lens element 350 has a concave object-side surface 352 and a convex image-side surface 354, and both of the object-side surface 352 and the image-side surface 354 are aspheric and have one inflection point.
The sixth lens element 360 has negative refractive power and it is made of plastic material. The sixth lens element 360 has a convex object-side surface 362 and a concave image-side surface 364. The object-side surface 362 and the image-side surface 364 both have one inflection point. Hereby, the back focal length is reduced to miniaturize the lens element effectively. In addition, the angle of incident with incoming light from an off-axis view field can be suppressed effectively and the aberration in the off-axis view field can be corrected further.
The IR-bandstop filter 380 is made of glass material without affecting the focal length of the optical image capturing system and it is disposed between the sixth lens element 360 and the image plane 390.
Please refer to the following Table 5 and Table 6.
The detailed data of the optical image capturing system of the third embodiment is as shown in Table 5.

TABLE 5

Data of the optical image capturing system
f = 6.243 mm; f/HEP = 1.6; HAF = 50 deg

						Focal
Surface#	Curvature Radius	Thickness	Material	Index	Abbe #	length

0	Object	1E+18	1E+18
1	Ape. stop	1E+18	−0.010
2	Lens 1	7.271057662	1.035	Plastic	1.545	55.96	16.789
3		33.32928602	0.000
4		1E+18	0.616
5	Lens 2	14.08987335	0.375	Plastic	1.642	22.46	−23.103
6		7.18049011	0.157
7	Lens 3	18.47477706	0.780	Plastic	1.545	55.96	−55.105
8		11.27777829	0.178
9	Lens 4	4.951165365	0.927	Plastic	1.545	55.96	11.812
10		19.87269999	0.794
11	Lens 5	−5.46880598	1.600	Plastic	1.545	55.96	3.927
12		−1.700151029	0.100
13	Lens 6	3.414823576	1.007	Plastic	1.642	22.46	−4.849
14		1.446290142	1.549
15	IR-bandstop	1E+18	0.500	BK_7	1.517	64.13
	filter
16		1E+18	1.120
17	Image plane	1E+18	0.000

Reference wavelength (d-line) = 555 nm; shield position: The clear aperture of the fourth surface is 1.970 mm.

As for the parameters of the aspheric surfaces of the third embodiment, reference is made to Table 6.

TABLE 6

Aspheric Coefficients

Surface #	2	3	5	6	7	8	9

k	−1.460957E+01	0.000000E+00	0.000000E+00	−1.565098E+01	0.000000E+00	0.000000E+00	−3.409466E−01
A4	9.644842E−03	−6.110283E−03	−1.550167E−02	−1.769357E−03	1.254246E−03	−1.809760E−02	−1.661466E−02
A6	−1.058531E−02	−4.933595E−04	−1.368995E−04	−2.820005E−03	5.041540E−04	1.059257E−03	−1.228381E−03
A8	7.827041E−03	1.388126E−04	−2.051631E−03	4.824916E−04	−1.038601E−03	5.045390E−04	1.032988E−03
A10	−3.516323E−03	−2.220587E−04	1.637192E−03	9.935436E−05	3.702266E−04	−2.486326E−04	−2.894210E−04
A12	8.877810E−04	8.657235E−05	−5.904673E−04	−5.114667E−05	−7.333307E−05	3.879171E−05	3.643262E−05
A14	−1.167598E−04	−1.673947E−05	1.013616E−04	6.810588E−06	7.035409E−06	−2.866746E−06	−2.012345E−06
A16	5.999381E−06	1.144677E−06	−7.179409E−06	−3.204984E−07	−2.446854E−07	9.608257E−08	3.907432E−08
A18	1.181645E−09	0.000000E+00	0.000000E+00	0.000000E+00	0.000000E+00	0.000000E+00	0.000000E+00
A20	0.000000E+00	0.000000E+00	0.000000E+00	0.000000E+00	0.000000E+00	0.000000E+00	0.000000E+00

Surface #	10	11	12	13	14

k	0.000000E+00	8.280738E−01	−1.338062E+00	−1.991639E+01	−4.463550E+00
A4	−5.475098E−03	−8.025133E−03	2.002636E−02	8.708716E−03	1.172766E−06
A6	−1.473030E−03	−6.341900E−04	−8.252725E−03	−2.091124E−03	−1.920364E−04
A8	3.253684E−04	4.964465E−04	1.944194E−03	2.499413E−04	9.486614E−06
A10	−5.268586E−05	−1.749933E−04	−3.377086E−04	−2.070370E−05	−1.975383E−07
A12	2.927109E−06	3.122181E−05	3.718866E−05	1.050923E−06	1.004622E−09
A14	1.218964E−07	−2.389000E−06	−2.099656E−06	−2.875814E−08	1.261128E−11
A16	−1.046565E−08	6.516900E−08	4.600067E−08	3.224861E−10	−7.226270E−14
A18	0.000000E+00	0.000000E+00	0.000000E+00	0.000000E+00	0.000000E+00
A20	0.000000E+00	0.000000E+00	0.000000E+00	0.000000E+00	0.000000E+00

The presentation of the aspheric surface formula in the third embodiment is similar to that in the first embodiment. Besides, the definitions of parameters in following tables are equal to those in the first embodiment so the repetitious details will not be given here.
The following contents may be deduced from Table 5 and Table 6.
The numerical related to the length of outline curve is shown according to table 5 and table 6.


Third embodiment (Reference wavelength = 555 nm)

ARE	1/2(HEP)	ARE value	ARE − 1/2(HEP)	2(ARE/HEP) %	TP	ARE/TP (%)

11	1.951	1.966	0.015	100.78%	1.035	189.91%
12	1.951	1.960	0.009	100.46%	1.035	189.32%
21	1.951	1.979	0.028	101.46%	0.375	527.86%
22	1.951	1.956	0.005	100.26%	0.375	521.65%
31	1.951	1.953	0.002	100.10%	0.780	250.38%
32	1.951	1.956	0.005	100.27%	0.780	250.81%
41	1.951	1.960	0.009	100.46%	0.927	211.54%
42	1.951	1.954	0.003	100.16%	0.927	210.91%
51	1.951	2.039	0.088	104.51%	1.600	127.44%
52	1.951	2.219	0.268	113.74%	1.600	138.70%
61	1.951	1.988	0.037	101.91%	1.007	197.47%
62	1.951	2.089	0.138	107.05%	1.007	207.44%

ARS	EHD	ARS value	ARS − EHD	(ARS/EHD) %	TP	ARS/TP (%)

11	1.959	1.974	0.015	100.78%	1.035	190.69%
12	1.986	1.996	0.011	100.53%	1.035	192.83%
21	2.128	2.219	0.091	104.26%	0.375	591.74%
22	2.602	2.655	0.052	102.01%	0.375	707.87%
31	2.693	2.722	0.029	101.09%	0.780	348.98%
32	2.862	3.032	0.170	105.95%	0.780	388.78%
41	3.177	3.246	0.068	102.15%	0.927	350.31%
42	3.324	3.521	0.197	105.93%	0.927	380.04%
51	3.433	3.757	0.324	109.43%	1.600	234.84%
52	3.619	4.415	0.797	122.01%	1.600	275.95%
61	4.819	5.187	0.368	107.63%	1.007	515.18%
62	6.304	6.878	0.574	109.11%	1.007	683.12%

The following contents may be deduced from Table 5 and Table 6.


Related inflection point values of third embodiment (Primary reference wavelength: 555 nm)

HIF111	1.5631	HIF111/HOI	0.2084	SGI111	0.1594	\|SGI111\|/(\|SGI111\| + TP1)	0.1334
HIF121	0.6175	HIF121/HOI	0.0823	SGI121	0.0048	\|SGI121\|/(\|SGI121\| + TP1)	0.0046
HIF211	0.6014	HIF211/HOI	0.0802	SGI211	0.0108	\|SGI211\|/(\|SGI211\| + TP2)	0.0279
HIF221	1.0747	HIF221/HOI	0.1433	SGI221	0.0690	\|SGI221\|/(\|SGI221\| + TP2)	0.1554
HIF311	1.3349	HIF311/HOI	0.1780	SGI311	0.0493	\|SGI311\|/(\|SGI311\| + TP3)	0.0595
HIF312	2.5843	HIF312/HOI	0.3446	SGI312	−0.0657	\|SGI312\|/(\|SGI312\| + TP3)	0.0777
HIF321	0.6691	HIF321/HOI	0.0892	SGI321	0.0163	\|SGI321\|/(\|SGI321\| + TP3)	0.0205
HIF322	2.6722	HIF322/HOI	0.3563	SGI322	−0.4418	\|SGI322\|/(\|SGI322\| + TP3)	0.3616
HIF411	1.0300	HIF411/HOI	0.1373	SGI411	0.0887	\|SGI411\|/(\|SGI411\| + TP4)	0.0874
HIF412	2.6951	HIF412/HOI	0.3593	SGI412	−0.0437	\|SGI412\|/(\|SGI412\| + TP4)	0.0450
HIF421	0.7648	HIF421/HOI	0.1020	SGI421	0.0126	\|SGI421\|/(\|SGI421\| + TP4)	0.0134
HIF422	2.8734	HIF422/HOI	0.3831	SGI422	−0.4829	\|SGI422\|/(\|SGI422\| + TP4)	0.3426
HIF511	2.4077	HIF511/HOI	0.3210	SGI511	−0.8235	\|SGI511\|/(\|SGI511\| + TP5)	0.3398
HIF521	2.5316	HIF521/HOI	0.3375	SGI521	−1.5688	\|SGI521\|/(\|SGI521\| + TP5)	0.4951
HIF611	1.8639	HIF611/HOI	0.2485	SGI611	0.3295	\|SGI611\|/(\|SGI611\| + TP6)	0.2466
HIF621	1.7917	HIF621/HOI	0.2389	SGI621	0.6264	\|SGI621\|/(\|SGI621\| + TP6)	0.3835

The Fourth Embodiment (Embodiment 4)

Please refer to FIG. 4A, FIG. 4B and FIG. 4C, FIG. 4A is a schematic view of the optical image capturing system according to the fourth embodiment of the present application, FIG. 4B is longitudinal spherical aberration curves, astigmatic field curves, and an optical distortion curve of the optical image capturing system in the order from left to right according to the fourth embodiment of the present application, and FIG. 4C is a lateral aberration diagram of tangential fan, sagittal fan, the longest operation wavelength and the shortest operation wavelength passing through an edge of the entrance pupil and incident on the image plane by 0.7 HOI according to the fourth embodiment of the present application. As shown in FIG. 4A, in order from an object side to an image side, the optical image capturing system includes an aperture stop 400, a first lens element 410, a second lens element 420, a third lens element 430, a fourth lens element 440, a fifth lens element 450, a sixth lens element 460, an IR-bandstop filter 480, an image plane 490, and an image sensing device 492.
The first lens element 410 has positive refractive power and it is made of plastic material. The first lens element 410 has a convex object-side surface 412 and a concave image-side surface 414, and both of the object-side surface 412 and the image-side surface 414 are aspheric and have one inflection point.
The second lens element 420 has negative refractive power and it is made of plastic material. The second lens element 420 has a convex object-side surface 422 and a concave image-side surface 424, and both of the object-side surface 422 and the image-side surface 424 are aspheric and have one inflection point.
The third lens element 430 has negative refractive power and it is made of plastic material. The third lens element 430 has a convex object-side surface 432 and a concave image-side surface 434, and both of the object-side surface 432 and the image-side surface 434 are aspheric and have two inflection points.
The fourth lens element 440 has positive refractive power and it is made of plastic material. The fourth lens element 440 has a convex object-side surface 442 and a concave image-side surface 444, and both of the object-side surface 442 and the image-side surface 444 are aspheric and have two inflection points.
The fifth lens element 450 has positive refractive power and it is made of plastic material. The fifth lens element 450 has a concave object-side surface 452 and a convex image-side surface 454, and both of the object-side surface 452 and the image-side surface 454 are aspheric and have one inflection point.
The sixth lens element 460 has negative refractive power and it is made of plastic material. The sixth lens element 460 has a convex object-side surface 462 and a concave image-side surface 464. The object-side surface 462 and the image-side surface 464 both have one inflection point. Hereby, the back focal length is reduced to miniaturize the lens element effectively. In addition, the angle of incident with incoming light from an off-axis view field can be suppressed effectively and the aberration in the off-axis view field can be corrected further.
The IR-bandstop filter 480 is made of plastic material without affecting the focal length of the optical image capturing system and it is disposed between the sixth lens element 460 and the image plane 490.
Please refer to the following Table 7 and Table 8.
The detailed data of the optical image capturing system of the fourth embodiment is as shown in Table 7.

TABLE 7

Data of the optical image capturing system
f = 6.243 mm; f/HEP = 1.7; HAF = 50.000 deg

						Focal
Surface #	Curvature Radius	Thickness	Material	Index	Abbe #	length

0	Object	1E+18	1E+18
1	Ape. stop	1E+18	−0.010
2	Lens 1	8.057802026	1.109	Plastic	1.545	55.96	16.125
3		89.95557525	0.000
4		1E+18	0.596
5	Lens 2	14.03878719	0.375	Plastic	1.642	22.46	−27.295
6		7.742481371	0.172
7	Lens 3	24.46403815	0.780	Plastic	1.545	55.96	−29.781
8		9.660902729	0.178
9	Lens 4	4.862669783	0.939	Plastic	1.545	55.96	10.905
10		24.66159883	0.778
11	Lens 5	−5.406092341	1.600	Plastic	1.545	55.96	3.847
12		−1.671423627	0.100
13	Lens 6	3.393740844	0.995	Plastic	1.642	22.46	−4.650
14	r	1.411726001	1.547
15	IR-band stop	1E+18	0.500	BK_7	1.517	64.13
	filter
16		1E+18	1.120
17	Image plane	1E+18	0.000

Reference wavelength(d-line) = 555 nm; shield position: The clear aperture of the fourth surface is 1.970 mm.

As for the parameters of the aspheric surfaces of the fourth embodiment, reference is made to Table 8.

TABLE 8

Aspheric Coefficients

Surface #	2	3	5	6	7	8	9

k	−1.212279E+01	0.000000E+00	0.000000E+00	−1.446121E+01	0.000000E+00	0.000000E+00	−3.304797E−01
A4	8.889870E−03	−6.388825E−03	−1.117168E−02	5.558050E−03	4.307259E−03	−2.009111E−02	−1.672097E−02
A6	−1.429395E−02	−2.128624E−03	−5.143083E−03	−9.574147E−03	−1.580444E−03	2.229712E−03	3.388259E−04
A8	1.237155E−02	1.437273E−03	5.532378E−04	3.818339E−03	−1.297741E−04	−1.714790E−04	2.289282E−05
A10	−6.330313E−03	−8.215944E−04	8.513703E−04	−9.071892E−04	1.482849E−04	−1.322103E−05	−3.420685E−06
A12	1.830506E−03	2.508048E−04	−4.751372E−04	1.290354E−04	−4.706618E−05	−3.386546E−06	−3.073654E−06
A14	−2.786497E−04	−4.108904E−05	9.904292E−05	−1.068103E−05	5.962959E−06	7.879694E−07	5.661977E−07
A16	1.707379E−05	2.625075E−06	−8.037240E−06	3.878597E−07	−2.532473E−07	−2.736893E−08	−2.457669E−08
A18	1.181645E−09	0.000000E+00	0.000000E+00	0.000000E+00	0.000000E+00	0.000000E+00	0.000000E+00
A20	0.000000E+00	0.000000E+00	0.000000E+00	0.000000E+00	0.000000E+00	0.000000E+00	0.000000E+00

Surface #	10	11	12	13	14

k	0.000000E+00	7.412582E−01	−1.356689E+00	−1.991639E+01	−4.381017E+00
A4	−4.679401E−03	−8.516700E−03	2.101072E−02	8.590919E−03	−1.061157E−04
A6	−3.425368E−04	−3.112180E−04	−9.028322E−03	−2.104724E−03	−1.899345E−04
A8	−1.679399E−04	6.840615E−04	2.206748E−03	2.548177E−04	9.138860E−06
A10	3.457439E−05	−2.492236E−04	−3.777988E−04	−2.168604E−05	−1.641025E−07
A12	−4.219821E−06	4.073403E−05	4.023812E−05	1.136011E−06	−2.162088E−10
A14	3.346933E−07	−2.926407E−06	−2.214484E−06	−3.201766E−08	3.188460E−11
A16	−9.918082E−09	7.668857E−08	4.774192E−08	3.683801E−10	−1.851126E−13
A18	0.000000E+00	0.000000E+00	0.000000E+00	0.000000E+00	0.000000E+00
A20	0.000000E+00	0.000000E+00	0.000000E+00	0.000000E+00	0.000000E+00

The presentation of the aspheric surface formula in the fourth embodiment is similar to that in the first embodiment. Besides the definitions of parameters in following tables are equal to those in the first embodiment so the repetitious details will not be given here.
The following contents may be deduced from Table 7 and Table 8.


Fourth embodiment (Primary reference wavelength: 555 nm)

\| f/f1 \|	\| f/f2 \|	\| f/f3 \|	\| f/f4 \|	\| f/f5 \|	\| f/f6 \|
0.38720	0.22874	0.20964	0.57252	1.62301	1.34275
Σ PPR	Σ NPR	Σ PPR/\| Σ NPR \|	IN12/f	IN56/f	TP4/(IN34 + TP4 + IN45)
2.79237	1.57148	1.77690	0.09554	0.01602	0.49529

\| f1/f2 \|	\| f2/f3 \|	(TP1 + IN12)/TP2	(TP6 + IN56)/TP5
0.59075	0.91652	4.54867	0.68420

HOS	InTL	HOS/HOI	InS/HOS	ODT %	TDT %
10.78940	7.62242	1.43859	0.99907	1.63645	1.41452
HVT51	HVT52	HVT61	HVT62	HVT62/HOI	HVT62/HOS
0	0	3.12999	4.39748	0.58633	0.40757
HVT21	HVT22	HVT31	HVT32	HVT41	HVT42
1.027	1.856	1.834	1.291	1.884	1.286
TP2/TP3	TP3/TP4	InRS61	InRS62	\| InRS61 \|/TP6	\| InRS62 \|/TP6
0.48077	0.83095	−0.27212	0.63171	0.27357	0.63507
PLTA	PSTA	NLTA	NSTA	SLTA	SSTA
−0.012 mm	−0.002 mm	−0.002 mm	−0.016mm	0.001 mm	−0.007 mm

The numerical related to the length of outline curve is shown according to table 7 and table 8.


Fourth embodiment (Reference wavelength = 555 nm)

ARE	1/2(HEP)	ARE value	ARE − 1/2(HEP)	2(ARE/HEP) %	TP	ARE/TP (%)

11	1.836	1.846	0.010	100.53%	1.109	166.41%
12	1.836	1.844	0.008	100.43%	1.109	166.24%
21	1.836	1.851	0.015	100.82%	0.375	493.69%
22	1.836	1.841	0.005	100.27%	0.375	490.97%
31	1.836	1.837	0.001	100.06%	0.780	235.56%
32	1.836	1.838	0.002	100.12%	0.780	235.70%
41	1.836	1.846	0.010	100.54%	0.939	196.68%
42	1.836	1.837	0.001	100.05%	0.939	195.72%
51	1.836	1.901	0.065	103.55%	1.600	118.84%
52	1.836	2.067	0.231	112.58%	1.600	129.21%
61	1.836	1.869	0.033	101.78%	0.995	187.89%
62	1.836	1.965	0.129	107.00%	0.995	197.53%

ARS	EHD	ARS value	ARS − EHD	(ARS/EHD) %	TP	ARS/TP (%)

11	1.866	1.875	0.010	100.51%	1.109	169.04%
12	1.975	1.992	0.017	100.87%	1.109	179.55%
21	2.116	2.213	0.097	104.57%	0.375	590.09%
22	2.607	2.658	0.052	101.98%	0.375	708.91%
31	2.725	2.748	0.023	100.84%	0.780	352.34%
32	2.886	3.068	0.181	106.29%	0.780	393.33%
41	3.161	3.240	0.079	102.50%	0.939	345.18%
42	3.308	3.517	0.209	106.30%	0.939	374.62%
51	3.418	3.734	0.316	109.24%	1.600	233.35%
52	3.607	4.396	0.789	121.87%	1.600	274.77%
61	4.787	5.171	0.384	108.02%	0.995	519.88%
62	6.304	6.902	0.598	109.49%	0.995	693.86%

The following contents may be deduced from Table 7 and Table 8.


Related inflection point values of fourth embodiment (Primary reference wavelength: 555 nm)

HIF111	1.4607	HIF111/HOI	0.1948	SGI111	0.1242	\|SGI111\|/(\|SGI111\| + TP1)	0.1007
HIF121	0.3640	HIF121/HOI	0.0485	SGI121	0.0006	\|SGI121\|/(\|SGI121\| + TP1)	0.0006
HIF211	0.6203	HIF211/HOI	0.0827	SGI211	0.0118	\|SGI211\|/(\|SGI211\| + TP2)	0.0305
HIF221	1.0750	HIF221/HOI	0.1433	SGI221	0.0682	\|SGI221\|/(\|SGI221\| + TP2)	0.1539
HIF311	1.3173	HIF311/HOI	0.1756	SGI311	0.0403	\|SGI311\|/(\|SGI311\| + TP3)	0.0492
HIF312	2.5200	HIF312/HOI	0.3360	SGI312	−0.0536	\|SGI312\|/(\|SGI312\| + TP3)	0.0643
HIF321	0.7040	HIF321/HOI	0.0939	SGI321	0.0210	\|SGI321\|/(\|SGI321\| + TP3)	0.0262
HIF322	2.7033	HIF322/HOI	0.3604	SGI322	−0.4428	\|SGI322\|/(\|SGI322\| + TP3)	0.3621
HIF411	1.0713	HIF411/HOI	0.1428	SGI411	0.0975	\|SGI411\|/(\|SGI411\| + TP4)	0.0941
HIF412	2.8052	HIF412/HOI	0.3740	SGI412	−0.0589	\|SGI412\|/(\|SGI412\| + TP4)	0.0591
HIF421	0.7875	HIF421/HOI	0.1050	SGI421	0.0107	\|SGI421\|/(\|SGI421\| + TP4)	0.0112
HIF422	2.9333	HIF422/HOI	0.3911	SGI422	−0.5212	\|SGI422\|/(\|SGI422\| + TP4)	0.3570
HIF511	2.4453	HIF511/HOI	0.3260	SGI511	−0.8279	\|SGI511\|/(\|SGI511\| + TP5)	0.3410
HIF521	2.5304	HIF521/HOI	0.3374	SGI521	−1.5662	\|SGI521\|/(\|SGI521\| + TP5)	0.4947
HIF611	1.8333	HIF611/HOI	0.2444	SGI611	0.3205	\|SGI611\|/(\|SGI611\| + TP6)	0.2437
HIF621	1.7635	HIF621/HOI	0.2351	SGI621	0.6226	\|SGI621\|/(\|SGI621\| + TP6)	0.3849

The Fifth Embodiment (Embodiment 5)

Please refer to FIG. 5A, FIG. 5B and FIG. 5C, FIG. 5A is a schematic view of the optical image capturing system according to the fifth embodiment of the present application, FIG. 5B is longitudinal spherical aberration curves, astigmatic field curves, and an optical distortion curve of the optical image capturing system in the order from left to right according to the fifth embodiment of the present application, and FIG. 5C is a lateral aberration diagram of tangential fan, sagittal fan, the longest operation wavelength and the shortest operation wavelength passing through an edge of the entrance pupil and incident on the image plane by 0.7 HOI according to the fifth embodiment of the present application. As shown in FIG. 5A, in order from an object side to an image side, the optical image capturing system includes an aperture stop 500, a first lens element 510, a second lens element 520, a third lens element 530, a fourth lens element 540, a fifth lens element 550, a sixth lens element 560, an IR-bandstop filter 580, an image plane 590, and an image sensing device 592.
The first lens element 510 has positive refractive power and it is made of plastic material. The first lens element 510 has a convex object-side surface 512 and a convex image-side surface 514, and both of the object-side surface 512 and the image-side surface 514 are aspheric. The object-side surface 512 has one inflection point.
The second lens element 520 has negative refractive power and it is made of plastic material. The second lens element 520 has a convex object-side surface 522 and a concave image-side surface 524, and both of the object-side surface 522 and the image-side surface 524 are aspheric and have one inflection point.
The third lens element 530 has negative refractive power and it is made of plastic material. The third lens element 530 has a convex object-side surface 532 and a concave image-side surface 534, and both of the object-side surface 532 and the image-side surface 534 are aspheric. The object-side surface 532 has two inflection points and the image-side surface 534 has one inflection point.
The fourth lens element 540 has positive refractive power and it is made of plastic material. The fourth lens element 540 has a convex object-side surface 542 and a convex image-side surface 544, and both of the object-side surface 542 and the image-side surface 544 are aspheric. The object-side surface 542 has two inflection points and the image-side surface 544 has three inflection points.
The fifth lens element 550 has positive refractive power and it is made of plastic material. The fifth lens element 550 has a concave object-side surface 552 and a convex image-side surface 554, and both of the object-side surface 552 and the image-side surface 554 are aspheric. The object-side surface 552 has two inflection points and the image-side surface 554 has one inflection point.
The sixth lens element 560 has negative refractive power and it is made of plastic material. The sixth lens element 560 has a convex object-side surface 562 and a concave image-side surface 564. The object-side surface 562 and the image-side surface 564 both have one inflection point. Hereby, the back focal length is reduced to miniaturize the lens element effectively. In addition, the angle of incident with incoming light from an off-axis view field can be suppressed effectively and the aberration in the off-axis view field can be corrected further.
The IR-bandstop filter 580 is made of glass material without affecting the focal length of the optical image capturing system and it is disposed between the sixth lens element 560 and the image plane 590.
Please refer to the following Table 9 and Table 10.
The detailed data of the optical image capturing system of the fifth embodiment is as shown in Table 9.

TABLE 9

Data of the optical image capturing system
f = 6.818 mm; f/HEP = 1.8; HAF = 40.001 deg

						Focal
Surface #	Curvature Radius	Thickness	Material	Index	Abbe #	length

0	Object	1E+18	1E+18
1	Ape. stop	1E+18	−0.010
2	Lens 1	12.61363216	1.468	Plastic	1.545	55.96	16.924
3		−33.19428616	0.000
4		1E+18	0.394
5	Lens 2	4.994073177	0.420	Plastic	1.642	22.46	−31.850
6		3.88771629	0.443
7	Lens 3	25.05729556	1.324	Plastic	1.545	55.96	−36.812
8		10.94794859	0.302
9	Lens 4	5.77490198	1.092	Plastic	1.545	55.96	9.159
10		−34.95858179	0.543
11	Lens 5	−5.010271189	1.600	Plastic	1.545	55.96	5.482
12		−2.085758115	0.100
13	Lens 6	3.658544308	1.181	Plastic	1.642	22.46	−5.937
14		1.636828358	1.533
15	IR-bandstop	1E+18	0.500	BK_7	1.517	64.13
	filter
16		1E+18	1.100
17	Image plane	1E+18	0.000

Reference wavelength (d-line) = 555 nm; shield position: The clear aperture of the fourteenth surface is 2.325 mm. The clear aperture of the twelfth surface is 4.084 mm.

As for the parameters of the aspheric surfaces of the fifth embodiment, reference is made to Table 10.

TABLE 10

Aspheric Coefficients

Surface #	2	3	5	6	7	8	9

k	−2.154002E+01	0.000000E+00	0.000000E+00	−4.877941E+00	0.000000E+00	0.000000E+00	1.542058E−01
A4	4.958444E−04	−9.901071E−03	−2.294751E−02	−9.256067E−03	−8.129537E−03	−1.828150E−02	−7.586452E−03
A6	−8.716566E−04	2.443343E−03	2.116273E−03	1.687624E−03	2.272044E−03	1.992326E−03	9.152177E−04
A8	3.438924E−04	−1.176230E−03	−8.755789E−04	−6.707035E−04	−2.817394E−04	−5.181004E−04	−4.082013E−04
A10	−1.067811E−04	3.430926E−04	1.776432E−04	1.492238E−04	6.078560E−06	1.145120E−04	5.370310E−05
A12	1.427377E−05	−6.163727E−05	−1.963764E−05	−1.882012E−05	−2.387619E−06	−1.524611E−05	−3.156241E−06
A14	−2.319405E−07	5.906200E−06	1.294723E−06	1.149004E−06	5.106288E−07	1.020588E−06	9.194652E−08
A16	−1.050969E−07	−2.442890E−07	−1.039606E−07	−2.507641E−08	−2.373370E−08	−2.614053E−08	−1.127932E−09
A18	1.181645E−09	0.000000E+00	0.000000E+00	0.000000E+00	0.000000E+00	0.000000E+00	0.000000E+00
A20	0.000000E+00	0.000000E+00	0.000000E+00	0.000000E+00	0.000000E+00	0.000000E+00	0.000000E+00

Surface #	10	11	12	13	14

k	0.000000E+00	3.395539E−01	−1.467261E+00	−1.317909E+01	−3.753660E+00
A4	−2.252289E−03	−5.942015E−03	9.537452E−03	5.447313E−03	−5.851852E−04
A6	3.631823E−03	3.936144E−03	−2.147519E−03	−1.757850E−03	−3.292009E−04
A8	−1.058610E−03	−7.608715E−04	3.200007E−04	1.736378E−04	2.983171E−05
A10	1.349943E−04	8.169447E−05	−4.142294E−05	−1.083374E−05	−1.302089E−06
A12	−9.431293E−06	−4.717340E−06	3.915725E−06	4.276187E−07	3.053732E−08
A14	3.528420E−07	1.420139E−07	−1.836973E−07	−9.549953E−09	−3.640074E−10
A16	−5.472551E−09	−1.789984E−09	3.184595E−09	9.172003E−11	1.689614E−12
A18	0.000000E+00	0.000000E+00	0.000000E+00	0.000000E+00	0.000000E+00
A20	0.000000E+00	0.000000E+00	0.000000E+00	0.000000E+00	0.000000E+00

The presentation of the aspheric surface formula in the fifth embodiment is similar to that in the first embodiment. Besides the definitions of parameters in following tables are equal to those in the first embodiment so the repetitious details will not be given here.
The following contents may be deduced from Table 9 and Table 10.
The numerical related to the length of outline curve is shown according to table 9 and table 10.


Fifth embodiment (Reference wavelength = 555 nm)

ARE	½(HEP)	ARE value	ARE − ½(HEP)	2(ARE/HEP) %	TP	ARE/TP (%)

11	2.114	2.118	0.004	100.18%	1.468	144.26%
12	2.114	2.136	0.022	101.04%	1.468	145.50%
21	2.114	2.129	0.015	100.72%	0.420	506.88%
22	2.114	2.140	0.027	101.26%	0.420	509.61%
31	2.114	2.113	−0.00048	99.98%	1.324	159.59%
32	2.114	2.123	0.00894	100.42%	1.324	160.30%
41	2.114	2.130	0.01591	100.75%	1.092	195.02%
42	2.114	2.113	−0.00047	99.98%	1.092	193.52%
51	2.114	2.169	0.055	102.61%	1.600	135.56%
52	2.114	2.330	0.217	110.25%	1.600	145.65%
61	2.114	2.152	0.039	101.83%	1.181	182.26%
62	2.114	2.270	0.157	107.41%	1.181	192.27%

ARS	EHD	ARS value	ARS − EHD	(ARS/EHD)%	TP	ARS/TP (%)

11	2.143	2.148	0.004	100.20%	1.468	146.30%
12	2.320	2.365	0.045	101.94%	1.468	161.12%
21	2.430	2.521	0.091	103.73%	0.420	600.15%
22	2.975	3.037	0.061	102.06%	0.420	723.02%
31	3.078	3.103	0.026	100.84%	1.324	234.36%
32	3.392	3.720	0.329	109.70%	1.324	280.97%
41	3.888	3.954	0.065	101.68%	1.092	362.06%
42	3.985	4.161	0.176	104.42%	1.092	381.09%
51	4.061	4.191	0.130	103.19%	1.600	261.94%
52	4.084	4.660	0.576	114.11%	1.600	291.26%
61	4.797	5.161	0.364	107.58%	1.181	437.01%
62	6.550	7.064	0.514	107.85%	1.181	598.23%

The following contents may be deduced from Table 9 and Table 10.


Related inflection point values of fifth embodiment (Primary reference wavelength: 555 nm)

HIF111	1.5224	HIF111/HOI	0.2030	SGI111	0.0825	\|SGI111\|/(\|SGI111\| + TP1)	0.0532
HIF211	0.9218	HIF211/HOI	0.1229	SGI211	0.0702	\|SGI211\|/(\|SGI211\| + TP2)	0.1431
HIF221	1.3161	HIF221/HOI	0.1755	SGI221	0.1792	\|SGI221\|/(\|SGI221\| + TP2)	0.2991
HIF311	0.8311	HIF311/HOI	0.1108	SGI311	0.0106	\|SGI311\|/(\|SGI311\| + TP3)	0.0079
HIF312	2.8758	HIF312/HOI	0.3834	SGI312	−0.1202	\|SGI312\|/(\|SGI312\| + TP3)	0.0832
HIF321	0.6832	HIF321/HOI	0.0911	SGI321	0.0175	\|SGI321\|/(\|SGI321\| + TP3)	0.0131
HIF411	1.4222	HIF411/HOI	0.1896	SGI411	0.1496	\|SGI411\|/(\|SGI411\| + TP4)	0.1205
HIF412	3.1615	HIF412/HOI	0.4215	SGI412	0.0530	\|SGI412\|/(\|SGI412\| + TP4)	0.0463
HIF421	0.9548	HIF421/HOI	0.1273	SGI421	−0.0128	\|SGI421\|/(\|SGI421\| + TP4)	0.0116
HIF422	1.7158	HIF422/HOI	0.2288	SGI422	−0.0241	\|SGI422\|/(\|SGI422\| + TP4)	0.0216
HIF423	3.5691	HIF423/HOI	0.4759	SGI423	−0.5229	\|SGI423\|/(\|SGI423\| + TP4)	0.3238
HIF511	2.3490	HIF511/HOI	0.3132	SGI511	−0.5182	\|SGI511\|/(\|SGI511\| + TP5)	0.2446
HIF512	3.8501	HIF512/HOI	0.5134	SGI512	−0.6690	\|SGI512\|/(\|SGI512\| + TP5)	0.2948
HIF521	2.6311	HIF521/HOI	0.3508	SGI521	−1.3016	\|SGI521\|/(\|SGI521\| + TP5)	0.4486
HIF611	1.5772	HIF611/HOI	0.2103	SGI611	0.2546	\|SGI611\|/(\|SGI611\| + TP6)	0.1774
HIF621	1.7352	HIF621/HOI	0.2314	SGI621	0.5962	\|SGI621\|/(\|SGI621\| + TP6)	0.3355

The Sixth Embodiment (Embodiment 6)

Please refer to FIG. 6A, FIG. 6B and FIG. 6C, FIG. 6A is a schematic view of the optical image capturing system according to the sixth Embodiment of the present application, FIG. 6B is longitudinal spherical aberration curves, astigmatic field curves, and an optical distortion curve of the optical image capturing system in the order from left to right according to the sixth Embodiment of the present application, and FIG. 6C is a lateral aberration diagram of tangential fan, sagittal fan, the longest operation wavelength and the shortest operation wavelength passing through an edge of the entrance pupil and incident on the image plane by 0.7 HOI according to the sixth embodiment of the present application. As shown in FIG. 6A, in order from an object side to an image side, the optical image capturing system includes an aperture stop 600, a first lens element 610, a second lens element 620, a third lens element 630, a fourth lens element 640, a fifth lens element 650, a sixth lens element 660, an IR-bandstop filter 680, an image plane 690, and an image sensing device 692.
The first lens element 610 has positive refractive power and it is made of plastic material. The first lens element 610 has a convex object-side surface 612 and a concave image-side surface 614, and both of the object-side surface 612 and the image-side surface 614 are aspheric and have one inflection point.
The second lens element 620 has negative refractive power and it is made of plastic material. The second lens element 620 has a convex object-side surface 622 and a concave image-side surface 624, and both of the object-side surface 622 and the image-side surface 624 are aspheric and have an inflection point.
The third lens element 630 has negative refractive power and it is made of plastic material. The third lens element 630 has a concave object-side surface 632 and a concave image-side surface 634, and both of the object-side surface 632 and the image-side surface 634 are aspheric. The object-side surface 632 has three inflection points and the image-side surface 634 has two inflection points.
The fourth lens element 640 has positive refractive power and it is made of plastic material. The fourth lens element 640 has a convex object-side surface 642 and a convex image-side surface 644, and both of the object-side surface 642 and the image-side surface 644 are aspheric. The object-side surface 642 has three inflection points and the image-side surface 644 has two inflection points.
The fifth lens element 650 has positive refractive power and it is made of plastic material. The fifth lens element 650 has a concave object-side surface 652 and a convex image-side surface 654, and both of the object-side surface 652 and the image-side surface 654 are aspheric and have one inflection point.
The sixth lens element 660 has negative refractive power and it is made of plastic material. The sixth lens element 660 has a convex object-side surface 662 and a concave image-side surface 664. The object-side surface 662 and the image-side surface 664 both have one inflection point. Hereby, the back focal length is reduced to miniaturize the lens element effectively. In addition, the angle of incident with incoming light from an off-axis view field can be suppressed effectively and the aberration in the off-axis view field can be corrected further.
The IR-bandstop filter 680 is made of plastic material without affecting the focal length of the optical image capturing system and it is disposed between the sixth lens element 660 and the image plane 690.
Please refer to the following Table 11 and Table 12.
The detailed data of the optical image capturing system of the sixth Embodiment is as shown in Table 11.

TABLE 11

Data of the optical image capturing system
f = 6.818 mm; f/HEP = 1.7; HAF = 47.500 deg

						Focal
Surface #	Curvature Radius	Thickness	Material	Index	Abbe #	length

0	Object	1E+18	1E+18
1	Ape. stop	1E+18	−0.208
2	Lens 1	6.264577482	1.030	Plastic	1.545	55.96	18.199
3		15.95420025	0.000
4		1E+18	0.539
5	Lens 2	6.539818499	0.420	Plastic	1.642	22.46	−28.382
6		4.701842187	0.316
7	Lens 3	−55.08955165	0.804	Plastic	1.545	55.96	−40.879
8		37.74867922	0.100
9	Lens 4	5.151705426	1.084	Plastic	1.545	55.96	8.081
10		−28.56269891	1.071
11	Lens 5	−3.798094812	1.600	Plastic	1.545	55.96	5.451
12		−1.917611538	0.100
13	Lens 6	4.340492538	1.237	Plastic	1.642	22.46	−5.891
14		1.802984477	1.422
15	IR-bandstop	1E+18	0.500	BK_7	1.517	64.13
	filter
16		1E+18	1.100
17	Image plane	1E+18	0.000

Reference wavelength (d-line) = 555 nm; shield position: The clear aperture of the fourth surface is 2.250 mm. The clear aperture of the fourteenth surface is 6.350 mm.

As for the parameters of the aspheric surfaces of the sixth Embodiment, reference is made to Table 12.

TABLE 12

Aspheric Coefficients

Surface #	2	3	5	6	7	8	9

k	−3.955429E+00	0.000000E+00	0.000000E+00	−1.342063E+01	0.000000E+00	0.000000E+00	−5.515447E−01
A4	1.662411E−03	−8.130280E−03	−2.571481E−02	−1.128980E−03	1.060999E−02	−1.232767E−02	−1.616212E−02
A6	−3.313249E−04	2.373055E−03	−1.385310E−03	−6.085644E−03	−5.528894E−03	−2.417219E−03	2.320539E−03
A8	−1.155642E−04	−1.795080E−03	1.016030E−03	2.663015E−03	2.608940E−03	4.934894E−04	−1.579033E−03
A10	1.758470E−04	7.469418E−04	−4.111754E−04	−7.190347E−04	−7.611866E−04	1.762668E−04	4.839010E−04
A12	−8.432801E−05	−1.897586E−04	1.161136E−04	1.191082E−04	1.184948E−04	−6.598018E−05	−7.342250E−05
A14	1.743503E−05	2.525790E−05	−1.802905E−05	−1.118093E−05	−9.827191E−06	7.306262E−06	5.415816E−06
A16	−1.411008E−06	−1.464132E−06	9.482279E−07	4.408408E−07	3.455075E−07	−2.698999E−07	−1.534863E−07
A18	1.181645E−09	0.000000E+00	0.000000E+00	0.000000E+00	0.000000E+00	0.000000E+00	0.000000E+00
A20	0.000000E+00	0.000000E+00	0.000000E+00	0.000000E+00	0.000000E+00	0.000000E+00	0.000000E+00

Surface #	10	11	12	13	14

k	0.000000E+00	5.446828E−02	−1.204464E+00	−1.991995E+01	−4.215265E+00
A4	−5.362487E−03	−1.121884E−02	1.198927E−02	8.763047E−03	−4.425719E−04
A6	4.117621E−03	3.703769E−03	−3.250735E−03	−2.476974E−03	−2.630633E−04
A8	−2.031325E−03	−6.058662E−04	5.896183E−04	3.091503E−04	2.287113E−05
A10	4.086486E−04	−2.024576E−05	−9.039620E−05	−2.569637E−05	−1.089153E−06
A12	−4.384614E−05	1.549633E−05	8.911511E−06	1.313381E−06	3.060474E−08
A14	2.478512E−06	−1.379098E−06	−4.488463E−07	−3.671390E−08	−4.734783E−10
A16	−5.720281E−08	3.830907E−08	8.920949E−09	4.263517E−10	3.083431E−12
A18	0.000000E+00	0.000000E+00	0.000000E+00	0.000000E+00	0.000000E+00
A20	0.000000E+00	0.000000E+00	0.000000E+00	0.000000E+00	0.000000E+00

In the sixth Embodiment, the presentation of the aspheric surface formula is similar to that in the first embodiment. Besides, the definitions of parameters in following tables are equal to those in the first embodiment, so the repetitious details will not be given here.
The following contents may be deduced from Table 11 and Table 12.


Sixth Embodiment (Primary reference wavelength: 555 nm)

\| f/f1 \|	\| f/f2 \|	\| f/f3 \|	\| f/f4 \|	\| f/f5 \|	\| f/f6 \|
0.37463	0.24021	0.16678	0.84363	1.25064	1.15739
Σ PPR	Σ NPR	Σ PPR/\| Σ NPR \|	IN12/f	IN56/f	TP4/(IN34 + TP4 + IN45)
2.46890	1.56438	1.57820	0.07905	0.01467	0.48068

\| f1/f2 \|	\| f2/f3 \|	(TP1 + IN12)/TP2	(TP6 + IN56)/TP5
0.64121	0.69428	3.73517	0.83548

HOS	InTL	HOS/HOI	InS/HOS	ODT %	TDT %
11.32350	8.30152	1.50980	0.98160	1.60072	1.04747
HVT51	HVT52	HVT61	HVT62	HVT62/HOI	HVT62/HOS
0	0	2.94083	4.33781	0.57837	0.38308
HVT21	HVT22	HVT31	HVT32	HVT41	HVT42
1.214	1.887	0.000	0.693	1.820	0.000
TP2/TP3	TP3/TP4	InRS61	InRS62	\| InRS61 \|/TP6	\| InRS62 \|/TP6
0.52215	0.74186	−0.45017	0.64189	0.36399	0.51901
PLTA	PSTA	NLTA	NSTA	SLTA	SSTA
0.002 mm	0.008 mm	−0.007 mm	−0.025 mm	0.004 mm	−0.006 mm

The numerical related to the length of outline curve is shown according to table 11 and table 12.


Sixth embodiment (Reference wavelength = 555 nm)

ARE	½(HEP)	ARE value	ARE − ½(HEP)	2(ARE/HEP) %	TP	ARE/TP (%)

11	2.005	2.034	0.029	101.45%	1.030	197.53%
12	2.005	2.008	0.003	100.16%	1.030	195.01%
21	2.005	2.032	0.027	101.34%	0.420	483.83%
22	2.005	2.015	0.010	100.50%	0.420	479.81%
31	2.005	2.005	0.00000	100.00%	0.804	249.29%
32	2.005	2.021	0.016	100.81%	0.804	251.30%
41	2.005	2.014	0.009	100.43%	1.084	185.73%
42	2.005	2.014	0.009	100.44%	1.084	185.75%
51	2.005	2.146	0.141	107.02%	1.600	134.12%
52	2.005	2.253	0.248	112.38%	1.600	140.83%
61	2.005	2.036	0.031	101.54%	1.237	164.63%
62	2.005	2.130	0.125	106.22%	1.237	172.22%

ARS	EHD	ARS value	ARS − EHD	(ARS/EHD)%	TP	ARS/TP (%)

11	2.075	2.106	0.031	101.49%	1.030	204.50%
12	2.242	2.265	0.023	101.02%	1.030	219.89%
21	2.294	2.426	0.131	105.73%	0.420	577.50%
22	2.729	2.799	0.070	102.58%	0.420	666.49%
31	2.822	2.869	0.048	101.68%	0.804	356.71%
32	2.982	3.153	0.171	105.72%	0.804	391.96%
41	3.225	3.334	0.110	103.40%	1.084	307.52%
42	3.415	3.670	0.256	107.49%	1.084	338.50%
51	3.500	4.076	0.576	116.45%	1.600	254.74%
52	3.745	4.765	1.020	127.24%	1.600	297.83%
61	4.728	5.138	0.411	108.68%	1.237	415.45%
62	6.350	6.823	0.473	107.46%	1.237	551.71%

The following contents may be deduced from Table 11 and Table 12.


Related inflection point values of sixth embodiment (Primary reference wavelength: 555 nm)

HIF111	1.8428	HIF111/HOI	0.2457	SGI111	0.2625	\|SGI111\|/(\|SGI111\| + TP1)	0.2031
HIF121	0.8909	HIF121/HOI	0.1188	SGI121	0.0204	\|SGI121\|/(\|SGI121\| + TP1)	0.0195
HIF211	0.6985	HIF211/HOI	0.0931	SGI211	0.0312	\|SGI211\|/(\|SGI211\| + TP2)	0.0691
HIF221	1.0303	HIF221/HOI	0.1374	SGI221	0.0938	\|SGI221\|/(\|SGI221\| + TP2)	0.1825
HIF311	0.4218	HIF311/HOI	0.0562	SGI311	−0.0013	\|SGI311\|/(\|SGI311\| + TP3)	0.0016
HIF312	1.6162	HIF312/HOI	0.2155	SGI312	0.0093	\|SGI312\|/(\|SGI312\| + TP3)	0.0114
HIF313	2.7371	HIF313/HOI	0.3650	SGI313	−0.1806	\|SGI313\|/(\|SGI313\| + TP3)	0.1834
HIF321	0.4079	HIF321/HOI	0.0544	SGI321	0.0019	\|SGI321\|/(\|SGI321\| + TP3)	0.0023
HIF322	2.7006	HIF322/HOI	0.3601	SGI322	−0.5342	\|SGI322\|/(\|SGI322\| + TP3)	0.3991
HIF411	1.0557	HIF411/HOI	0.1408	SGI411	0.0901	\|SGI411\|/(\|SGI411\| + TP4)	0.0767
HIF412	2.8647	HIF412/HOI	0.3820	SGI412	−0.1390	\|SGI412\|/(\|SGI412\| + TP4)	0.1136
HIF413	3.1910	HIF413/HOI	0.4255	SGI413	−0.3048	\|SGI413\|/(\|SGI413\| + TP4)	0.2194
HIF421	2.9806	HIF421/HOI	0.3974	SGI421	−0.6816	\|SGI421\|/(\|SGI421\| + TP4)	0.3860
HIF422	3.3860	HIF422/HOI	0.4515	SGI422	−0.9684	\|SGI422\|/(\|SGI422\| + TP4)	0.4718
HIF511	2.5984	HIF511/HOI	0.3464	SGI511	−1.2017	\|SGI511\|/(\|SGI511\| + TP5)	0.4289
HIF521	2.9497	HIF521/HOI	0.3933	SGI521	−1.9425	\|SGI521\|/(\|SGI521\| + TP5)	0.5483
HIF611	1.7038	HIF611/HOI	0.2272	SGI611	0.2552	\|SGI611\|/(\|SGI611\| + TP6)	0.1710
HIF621	1.7911	HIF621/HOI	0.2388	SGI621	0.5736	\|SGI621\|/(\|SGI621\| + TP6)	0.3168

The Seventh Embodiment (Embodiment 7)

Please refer to FIG. 7A, FIG. 7B and FIG. 7C, FIG. 7A is a schematic view of the optical image capturing system according to the seventh Embodiment of the present application, FIG. 7B is longitudinal spherical aberration curves, astigmatic field curves, and an optical distortion curve of the optical image capturing system in the order from left to right according to the seventh Embodiment of the present application, and FIG. 7C is a lateral aberration diagram of tangential fan, sagittal fan, the longest operation wavelength and the shortest operation wavelength passing through an edge of the entrance pupil and incident on the image plane by 0.7 HOI according to the seventh embodiment of the present application. As shown in FIG. 7A, in order from an object side to an image side, the optical image capturing system includes an aperture stop 700, a first lens element 710, a second lens element 720, a third lens element 730, a fourth lens element 740, a fifth lens element 750, a sixth lens element 760, an IR-bandstop filter 780, an image plane 790, and an image sensing device 792.
The first lens element 710 has positive refractive power and it is made of plastic material. The first lens element 710 has a convex object-side surface 712 and a concave image-side surface 714, and both of the object-side surface 712 and the image-side surface 714 are aspheric. The object-side surface 712 has one inflection point and the image-side surface 714 has two inflection points.
The second lens element 720 has positive refractive power and it is made of plastic material. The second lens element 720 has a convex object-side surface 722 and a convex image-side surface 724, and both of the object-side surface 722 and the image-side surface 724 are aspheric. The object-side surface 722 has two inflection points.
The third lens element 730 has negative refractive power and it is made of plastic material. The third lens element 730 has a convex object-side surface 732 and a concave image-side surface 734, and both of the object-side surface 732 and the image-side surface 734 are aspheric and have one inflection point.
The fourth lens element 740 has negative refractive power and it is made of plastic material. The fourth lens element 740 has a convex object-side surface 742 and a concave image-side surface 744, and both of the object-side surface 742 and the image-side surface 744 are aspheric. The object-side surface 742 has three inflection points and the image-side surface 744 has two inflection points.
The fifth lens element 750 has positive refractive power and it is made of plastic material. The fifth lens element 750 has a concave object-side surface 752 and a convex image-side surface 754, and both of the object-side surface 752 and the image-side surface 754 are aspheric and have one inflection point.
The sixth lens element 760 has negative refractive power and it is made of plastic material. The sixth lens element 760 has a convex object-side surface 762 and a concave image-side surface 764. The object-side surface 762 and the image-side surface 764 both have one inflection point. Hereby, the back focal length is reduced to miniaturize the lens element effectively. In addition, the angle of incident with incoming light from an off-axis view field can be suppressed effectively and the aberration in the off-axis view field can be corrected further.
The IR-bandstop filter 780 is made of glass material without affecting the focal length of the optical image capturing system and it is disposed between the sixth lens element 760 and the image plane 790.
Please refer to the following Table 13 and Table 14.
The detailed data of the optical image capturing system of the seventh Embodiment is as shown in Table 13.

TABLE 13

Data of the optical image capturing system
f = 6.784 mm; f/HEP = 1.6; HAF = 47.500 deg

						Focal
Surface#	Curvature Radius	Thickness	Material	Index	Abbe #	length

0	Object	1E+18	1E+18
1	Ape. stop	1E+18	−0.010
2	Lens 1	9.656225234	0.475	Plastic	1.545	55.96	59.167
3		13.53100951	0.000
4		1E+18	0.203
5	Lens 2	22.14992328	1.201	Plastic	1.545	55.96	7.525
6		−4.951127921	0.100
7	Lens 3	10.41079669	0.494	Plastic	1.642	22.46	−11.106
8		4.174542195	0.737
9	Lens 4	11.85909599	1.182	Plastic	1.545	55.96	−114.889
10		9.623066067	0.704
11	Lens 5	−9.607836797	1.600	Plastic	1.545	55.96	4.230
12		−1.972174838	0.100
13	Lens 6	4.941644881	1.316	Plastic	1.584	29.88	−5.313
14		1.724333133	1.355
15	IR-bandstop	1E+18	0.500	BK_7	1.517	64.13
	filter
16		1E+18	1.100
17	Image plane	1E+18	0.000

Reference wavelength (d-line) = 555 nm: shield position: The clear aperture of the fourth surface is 2.175 mm. The clear aperture of the fourteenth surface is 6.326 mm.

As for the parameters of the aspheric surfaces of the seventh Embodiment, reference is made to Table 14.

TABLE 14

Aspheric Coefficients

Surface #

	2	3	5	6	7	8	9

k	−4.767497E+01	0.000000E+00	0.000000E+00	0.000000E+00	0.000000E+00	−1.434629E−01	0.000000E+00
A4	−1.205654E−03	−2.176181E−02	−1.543736E−02	7.810373E−03	−1.101912E−03	−1.580139E−02	−1.133483E−02
A6	−4.991279E−03	−1.552467E−03	−4.929412E−03	−7.692406E−03	−2.565976E−03	4.177300E−03	1.343996E−03
A8	2.587823E−03	2.325533E−03	4.496228E−03	3.053873E−03	1.034234E−03	−1.213702E−03	−4.169603E−04
A10	−9.584951E−04	−9.804232E−04	−1.771065E−03	−8.123019E−04	−3.320625E−04	2.032102E−04	1.238789E−04
A12	2.082758E−04	2.638642E−04	4.217027E−04	1.262713E−04	5.812530E−05	−1.984420E−05	−1.861365E−05
A14	−2.400825E−05	−4.120887E−05	−5.838048E−05	−1.062970E−05	−4.886865E−06	1.074114E−06	1.339987E−06
A16	1.202013E−06	2.856742E−06	3.502747E−06	3.584180E−07	1.571676E−07	−2.520141E−08	−3.709268E−08
A18	1.181645E−09	0.000000E+00	0.000000E+00	0.000000E+00	0.000000E+00	0.000000E+00	0.000000E+00
A20	0.000000E+00	0.000000E+00	0.000000E+00	0.000000E+00	0.000000E+00	0.000000E+00	0.000000E+00

Surface #

	10	11	12	13	14

k	0.000000E+00	−6.451209E+01	−1.652298E+00	−3.630342E+01	−4.416116E+00
A4	−8.337260E−03	−8.406998E−03	1.087671E−02	7.601202E−03	−2.223484E−03
A6	1.259292E−03	3.651241E−03	−2.774985E−03	−2.638282E−03	−2.223763E−05
A8	−3.780144E−04	−8.693153E−04	3.451970E−04	3.615988E−04	7.146473E−06
A10	6.968561E−05	1.310075E−04	−2.062412E−05	−3.110969E−05	−4.454250E−07
A12	−8.334539E−06	−1.221276E−05	9.275343E−07	1.639827E−06	1.385414E−08
A14	4.951674E−07	5.781129E−07	−5.338105E−08	−4.771654E−08	−2.237470E−10
A16	−1.085109E−08	−1.008507E−08	1.833187E−09	5.801795E−10	1.437973E−12
A18	0.000000E+00	0.000000E+00	0.000000E+00	0.000000E+00	0.000000E+00
A20	0.000000E+00	0.000000E+00	0.000000E+00	0.000000E+00	0.000000E+00

In the seventh Embodiment, the presentation of the aspheric surface formula is similar to that in the first embodiment. Besides, the definitions of parameters in following tables are equal to those in the first embodiment, so the repetitious details will not be given here.
The following contents may be deduced from Table 13 and Table 14.
The numerical related to the length of outline curve is shown according to table 13 and table 14.


Seventh embodiment (Reference wavelength = 555 nm)

ARE	½(HEP)	ARE value	ARE − ½(HEP)	2(ARE/HEP) %	TP	ARE/TP (%)

11	2.120	2.124	0.004	100.20%	0.475	447.59%
12	2.120	2.134	0.013	100.64%	0.475	449.53%
21	2.120	2.140	0.019	100.92%	1.201	178.16%
22	2.120	2.225	0.105	104.94%	1.201	185.26%
31	2.120	2.124	0.004	100.17%	0.494	430.11%
32	2.120	2.160	0.040	101.90%	0.494	437.55%
41	2.120	2.121	0.001	100.06%	1.182	179.41%
42	2.120	2.123	0.003	100.15%	1.182	179.59%
51	2.120	2.130	0.010	100.48%	1.600	133.14%
52	2.120	2.342	0.222	110.45%	1.600	146.35%
61	2.120	2.138	0.018	100.85%	1.316	162.43%
62	2.120	2.248	0.128	106.02%	1.316	170.76%

ARS	EHD	ARS value	ARS − EHD	(ARS/EHD)%	TP	ARS/TP (%)

11	2.120	2.124	0.004	100.20%	0.475	447.59%
12	2.150	2.164	0.013	100.62%	0.475	455.91%
21	2.181	2.203	0.023	101.03%	1.201	183.48%
22	2.500	2.766	0.266	110.62%	1.201	230.31%
31	2.926	2.942	0.016	100.55%	0.494	595.85%
32	3.322	3.379	0.056	101.69%	0.494	684.28%
41	3.373	3.379	0.006	100.19%	1.182	285.82%
42	3.561	3.919	0.358	110.05%	1.182	331.45%
51	3.582	3.747	0.165	104.62%	1.600	234.21%
52	3.693	4.185	0.493	113.34%	1.600	261.59%
61	4.629	4.905	0.276	105.96%	1.316	372.61%
62	6.326	6.940	0.614	109.71%	1.316	527.23%

The following contents may be deduced from Table 13 and Table 14.


Related inflection point values of seventh embodiment (Primary reference wavelength:
555 nm)

HIF111	0.9020	HIF111/HOI	0.1203	SGI111	0.0359	\|SGI111\|/(\|SGI111\| + TP1)	0.0703
HIF121	0.5279	HIF121/HOI	0.0704	SGI121	0.0086	\|SGI121\|/(\|SGI121\| + TP1)	0.0178
HIF122	1.9429	HIF122/HOI	0.2591	SGI122	−0.1015	\|SGI122\|/(\|SGI122\| + TP1)	0.1762
HIF211	0.4671	HIF211/HOI	0.0623	SGI211	0.0041	\|SGI211\|/(\|SGI211\| + TP2)	0.0034
HIF212	2.1689	HIF212/HOI	0.2892	SGI212	−0.1926	\|SGI212\|/(\|SGI212\| + TP2)	0.1382
HIF311	1.2164	HIF311/HOI	0.1622	SGI311	0.0637	\|SGI311\|/(\|SGI311\| + TP3)	0.1143
HIF321	1.7408	HIF321/HOI	0.2321	SGI321	0.2853	\|SGI321\|/(\|SGI321\| + TP3)	0.3662
HIF411	0.8591	HIF411/HOI	0.1146	SGI411	0.0254	\|SGI411\|/(\|SGI411\| + TP4)	0.0211
HIF412	2.7683	HIF412/HOI	0.3691	SGI412	−0.0285	\|SGI412\|/(\|SGI412\| + TP4)	0.0235
HIF413	3.1776	HIF413/HOI	0.4237	SGI413	−0.0658	\|SGI413\|/(\|SGI413\| + TP4)	0.0527
HIF421	1.1897	HIF421/HOI	0.1586	SGI421	0.0595	\|SGI421\|/(\|SGI421\| + TP4)	0.0479
HIF422	3.4820	HIF422/HOI	0.4643	SGI422	−0.7115	\|SGI422\|/(\|SGI422\| + TP4)	0.3757
HIF511	3.3676	HIF511/HOI	0.4490	SGI511	−0.6502	\|SGI511\|/(\|SGI511\| + TP5)	0.2890
HIF521	2.4501	HIF521/HOI	0.3267	SGI521	−1.1489	\|SGI521\|/(\|SGI521\| + TP5)	0.4180
HIF611	1.4904	HIF611/HOI	0.1987	SGI611	0.1632	\|SGI611\|/(\|SGI611\| + TP6)	0.1103
HIF621	1.6371	HIF621/HOI	0.2183	SGI621	0.4986	\|SGI621\|/(\|SGI621\| + TP6)	0.2747

The Eighth Embodiment (Embodiment 8)

Please refer to FIG. 8A, FIG. 8B and FIG. 8C, FIG. 8A is a schematic view of the optical image capturing system according to the eighth Embodiment of the present application, FIG. 8B is longitudinal spherical aberration curves, astigmatic field curves, and an optical distortion curve of the optical image capturing system in the order from left to right according to the eighth Embodiment of the present application, and FIG. 8C is a lateral aberration diagram of tangential fan, sagittal fan, the longest operation wavelength and the shortest operation wavelength passing through an edge of the entrance pupil and incident on the image plane by 0.7 HOI according to the eighth embodiment of the present application. As shown in FIG. 8A, in order from an object side to an image side, the optical image capturing system includes an aperture stop 800, a first lens element 810, a second lens element 820, a third lens element 830, a fourth lens element 840, a fifth lens element 850, a sixth lens element 860, an IR-bandstop filter 880, an image plane 890, and an image sensing device 892.
The first lens element 810 has positive refractive power and it is made of plastic material. The first lens element 810 has a convex object-side surface 812 and a concave image-side surface 814, and both of the object-side surface 812 and the image-side surface 814 are aspheric. The object-side surface 812 has one inflection point and the image-side surface 814 has two inflection points.
The second lens element 820 has positive refractive power and it is made of plastic material. The second lens element 820 has a convex object-side surface 822 and a convex image-side surface 824, and both of the object-side surface 822 and the image-side surface 824 are aspheric. The object-side surface 822 has two inflection points.
The third lens element 830 has negative refractive power and it is made of plastic material. The third lens element 830 has a convex object-side surface 832 and a concave image-side surface 834, and both of the object-side surface 832 and the image-side surface 834 are aspheric and have one inflection point.
The fourth lens element 840 has negative refractive power and it is made of plastic material. The fourth lens element 840 has a convex object-side surface 842 and a concave image-side surface 844, and both of the object-side surface 842 and the image-side surface 844 are aspheric. The object-side surface 842 has three inflection points and the image-side surface 844 has two inflection points.
The fifth lens element 850 has positive refractive power and it is made of plastic material. The fifth lens element 850 has a concave object-side surface 852 and a convex image-side surface 854, and both of the object-side surface 852 and the image-side surface 854 are aspheric and have one inflection point.
The sixth lens element 860 has negative refractive power and it is made of plastic material. The sixth lens element 860 has a convex object-side surface 862 and a concave image-side surface 864. The object-side surface 862 and the image-side surface 864 both have one inflection point. Hereby, the back focal length is reduced to miniaturize the lens element effectively. In addition, the angle of incident with incoming light from an off-axis view field can be suppressed effectively and the aberration in the off-axis view field can be corrected further.
The IR-bandstop filter 880 is made of glass material without affecting the focal length of the optical image capturing system and it is disposed between the sixth lens element 860 and the image plane 890.
Please refer to the following Table 15 and Table 16.
The detailed data of the optical image capturing system of the eighth Embodiment is as shown in Table 15.

TABLE 15

Data of the optical image capturing system
f = 6.785 mm; f/HEP = 1.7; HAF = 47.500 deg

						Focal
Surface#	Curvature Radius	Thickness	Material	Index	Abbe #	length

0	Object	1E+18	1E+18
1	Ape. stop	1E+18	−0.010
2	Lens 1	10.49087026	0.454	Plastic	1.545	55.96	80.014
3		13.59281462	0.000
4		1E+18	0.176
5	Lens 2	20.5319139	1.181	Plastic	1.545	55.96	7.016
6		−4.61686553	0.100
7	Lens 3	12.11328642	0.501	Plastic	1.642	22.46	−10.157
8		4.193648186	0.742
9	Lens 4	12.35855952	1.200	Plastic	1.545	55.96	−92.185
10		9.582943835	0.784
11	Lens 5	−13.55756689	1.600	Plastic	1.545	55.96	4.045
12		−1.979145474	0.100
13	Lens 6	4.705842882	1.241	Plastic	1.584	29.88	−4.977
14		1.627219798	1.379
15	IR-bandstop	1E+18	0.500	BK_7	1.517	64.13
	filter
16		1E+18	1.100
17	Image plane	1E+18	0.000

Reference wavelength (d-line) = 555 nm; shield position: The clear aperture of the fourth surface is 2.100 mm. The clear aperture of the fourteenth surface is 6.290 mm.

As for the parameters of the aspheric surfaces of the eighth Embodiment, reference is made to Table 16.

TABLE 16

Aspheric Coefficients

Surface #

	2	3	5	6	7	8	9

k	−8.828012E+01	0.000000E+00	0.000000E+00	0.000000E+00	0.000000E+00	−2.885527E−01	0.000000E+00
A4	3.237687E−03	−2.186999E−02	−1.567146E−02	6.959914E−03	−5.027136E−03	−1.925885E−02	−1.360758E−02
A6	−9.801711E−03	−3.875537E−03	−7.940353E−03	−8.207280E−03	−9.207729E−04	5.730929E−03	2.548596E−03
A8	5.762744E−03	3.604661E−03	6.407662E−03	3.737301E−03	7.929380E−04	−1.626828E−03	−8.160928E−04
A10	−2.323918E−03	−1.325276E−03	−2.491240E−03	−1.126530E−03	−3.579275E−04	2.755241E−04	2.064328E−04
A12	5.624199E−04	3.424241E−04	6.191214E−04	1.957850E−04	7.194741E−05	−2.799142E−05	−2.989527E−05
A14	−7.350847E−05	−5.701191E−05	−9.397936E−05	−1.839156E−05	−6.551883E−06	1.618737E−06	2.217955E−06
A16	4.113587E−06	4.529291E−06	6.402167E−06	6.999294E−07	2.223407E−07	−4.139242E−08	−6.502355E−08
A18	1.181645E−09	0.000000E+00	0.000000E+00	0.000000E+00	0.000000E+00	0.000000E+00	0.000000E+00
A20	0.000000E+00	0.000000E+00	0.000000E+00	0.000000E+00	0.000000E+00	0.000000E+00	0.000000E+00

Surface #

	10	11	12	13	14

k	0.000000E+00	−6.451209E+01	−1.573394E+00	−3.630342E+01	−4.274656E+00
A4	−1.246432E−02	−6.628177E−03	1.091744E−02	4.147275E−03	−3.110823E−03
A6	2.193888E−03	1.218044E−03	−2.840972E−03	−1.756710E−03	1.042138E−04
A8	−5.082530E−04	−8.837098E−05	3.318933E−04	2.443338E−04	−1.766573E−06
A10	7.344567E−05	−5.680332E−06	−1.181012E−05	−2.115011E−05	−8.025068E−08
A12	−7.281263E−06	1.588577E−06	−4.562742E−07	1.113133E−06	5.111085E−09
A14	3.807608E−07	−1.751285E−07	3.281386E−08	−3.208345E−08	−1.093296E−10
A16	−7.329969E−09	7.033691E−09	−4.234044E−11	3.830741E−10	8.021502E−13
A18	0.000000E+00	0.000000E+00	0.000000E+00	0.000000E+00	0.000000E+00
A20	0.000000E+00	0.000000E+00	0.000000E+00	0.000000E+00	0.000000E+00

In the eighth Embodiment, the presentation of the aspheric surface formula is similar to that in the first embodiment. Besides, the definitions of parameters in following tables are equal to those in the first embodiment, so the repetitious details will not be given here.
The following contents may be deduced from Table 15 and Table 16.


Eighth Embodiment (Primary reference wavelength: 555 nm)

\| f/f1 \|	\| f/f2 \|	\| f/f3 \|	\| f/f4 \|	\| f/f5 \|	\| f/f6 \|
0.08480	0.96708	0.66807	0.07361	1.67758	1.36344
Σ PPR	Σ NPR	Σ PPR/\| Σ NPR \|	IN12/f	IN56/f	TP4/(IN34 + TP4 + IN45)
1.83599	2.99859	0.61229	0.02597	0.01474	0.44008

\| f1/f2 \|	\| f2/f3 \|	(TP1 + IN12)/TP2	(TP6 + IN56)/TP5
11.40378	0.69080	0.53371	0.83828

HOS	InTL	HOS/HOI	InS/HOS	ODT %	TDT %
11.05960	8.08060	1.47461	0.99910	1.42917	0.482455
HVT51	HVT52	HVT61	HVT62	HVT62/HOI	HVT62/HOS
0	3.61297	2.64512	4.40776	0.58770	0.39855
HVT21	HVT22	HVT31	HVT32	HVT41	HVT42
1.327	1.894	2.448	1.039	2.375	0.000
TP2/TP3	TP3/TP4	InRS61	InRS62	\| InRS61 \|/TP6	\| InRS62 \|/TP6
2.35736	0.41774	−0.49054	0.42815	0.39520	0.34494
PLTA	PSTA	NLTA	NSTA	SLTA	SSTA
−0.007 mm	−0.010 mm	0.022 mm	−0.010 mm	−0.025 mm	−0.009 mm

The numerical related to the length of outline curve is shown according to table 15 and table 16.


Eighth embodiment (Primary reference wavelength = 555 nm)

ARE	½(HEP)	ARE value	ARE − ½(HEP)	2(ARE/HEP) %	TP	ARE/TP (%)

11	1.996	1.998	0.002	100.11%	0.454	439.77%
12	1.996	2.006	0.010	100.50%	0.454	441.49%
21	1.996	2.012	0.016	100.79%	1.181	170.26%
22	1.996	2.090	0.094	104.73%	1.181	176.91%
31	1.996	1.997	0.001	100.06%	0.501	398.44%
32	1.996	2.027	0.031	101.58%	0.501	404.50%
41	1.996	1.996	0.00036	100.02%	1.200	166.38%
42	1.996	1.997	0.001	100.07%	1.200	166.46%
51	1.996	2.005	0.009	100.44%	1.600	125.29%
52	1.996	2.194	0.199	109.96%	1.600	137.15%
61	1.996	2.010	0.014	100.70%	1.241	161.90%
62	1.996	2.118	0.122	106.12%	1.241	170.63%

ARS	EHD	ARS value	ARS − EHD	(ARS/EHD)%	TP	ARS/TP (%)

11	1.997	1.999	0.002	100.11%	0.454	439.99%
12	2.056	2.066	0.010	100.51%	0.454	454.77%
21	2.096	2.117	0.021	100.99%	1.181	179.16%
22	2.403	2.661	0.258	110.72%	1.181	225.19%
31	2.803	2.820	0.017	100.59%	0.501	562.70%
32	3.230	3.278	0.047	101.46%	0.501	653.98%
41	3.279	3.293	0.014	100.44%	1.200	274.51%
42	3.486	3.873	0.386	111.08%	1.200	322.79%
51	3.523	3.749	0.226	106.41%	1.600	234.33%
52	3.671	4.216	0.545	114.84%	1.600	263.51%
61	4.594	4.815	0.221	104.81%	1.241	387.93%
62	6.290	6.840	0.550	108.75%	1.241	551.05%

The following contents may be deduced from Table 15 and Table 16.


Related inflection point values of eighth Embodiment (Primary reference wavelength: 555 nm)

HIF111	0.8518	HIF111/HOI	0.1136	SGI111	0.0298	\|SGI111\|/(\|SGI111\| + TP1)	0.0616
HIF121	0.5122	HIF121/HOI	0.0683	SGI121	0.0081	\|SGI121\|/(\|SGI121\| + TP1)	0.0175
HIF122	1.8266	HIF122/HOI	0.2435	SGI122	−0.0858	\|SGI122\|/(\|SGI122\| + TP1)	0.1589
HIF211	0.4656	HIF211/HOI	0.0621	SGI211	0.0045	\|SGI211\|/(\|SGI211\| + TP2)	0.0038
HIF212	2.0237	HIF212/HOI	0.2698	SGI212	−0.1640	\|SGI212\|/(\|SGI212\| + TP2)	0.1219
HIF311	1.1051	HIF311/HOI	0.1473	SGI311	0.0423	\|SGI311\|/(\|SGI311\| + TP3)	0.0779
HIF321	1.6858	HIF321/HOI	0.2248	SGI321	0.2576	\|SGI321\|/(\|SGI321\| + TP3)	0.3395
HIF411	0.7938	HIF411/HOI	0.1058	SGI411	0.0206	\|SGI411\|/(\|SGI411\| + TP4)	0.0169
HIF412	2.7078	HIF412/HOI	0.3610	SGI412	−0.0721	\|SGI412\|/(\|SGI412\| + TP4)	0.0567
HIF413	3.0801	HIF413/HOI	0.4107	SGI413	−0.1267	\|SGI413\|/(\|SGI413\| + TP4)	0.0955
HIF421	0.9972	HIF421/HOI	0.1330	SGI421	0.0414	\|SGI421\|/(\|SGI421\| + TP4)	0.0334
HIF422	3.4286	HIF422/HOI	0.4572	SGI422	−0.8184	\|SGI422\|/(\|SGI422\| + TP4)	0.4055
HIF511	3.3432	HIF511/HOI	0.4458	SGI511	−0.7605	\|SGI511\|/(\|SGI511\| + TP5)	0.3222
HIF521	2.5144	HIF521/HOI	0.3352	SGI521	−1.2245	\|SGI521\|/(\|SGI521\| + TP5)	0.4335
HIF611	1.3961	HIF611/HOI	0.1862	SGI611	0.1426	\|SGI611\|/(\|SGI611\| + TP6)	0.1030
HIF621	1.5740	HIF621/HOI	0.2099	SGI621	0.4872	\|SGI621\|/(\|SGI621\| + TP6)	0.2819

The Ninth Embodiment (Embodiment 9)

Please refer to FIG. 9A, FIG. 9B and FIG. 9C, FIG. 9A is a schematic view of the optical image capturing system according to the ninth Embodiment of the present application, FIG. 9B is longitudinal spherical aberration curves, astigmatic field curves, and an optical distortion curve of the optical image capturing system in the order from left to right according to the ninth Embodiment of the present application, and FIG. 9C is a lateral aberration diagram of tangential fan, sagittal fan, the longest operation wavelength and the shortest operation wavelength passing through an edge of the entrance pupil and incident on the image plane by 0.7 HOI according to the ninth embodiment of the present application. As shown in FIG. 9A, in order from an object side to an image side, the optical image capturing system includes an aperture stop 900, a first lens element 910, a second lens element 920, a third lens element 930, a fourth lens element 940, a fifth lens element 950, a sixth lens element 960, an IR-bandstop filter 980, an image plane 990, and an image sensing device 992.
The first lens element 910 has positive refractive power and it is made of plastic material. The first lens element 910 has a convex object-side surface 912 and a concave image-side surface 914, and both of the object-side surface 912 and the image-side surface 914 are aspheric and have one inflection point.
The second lens element 920 has negative refractive power and it is made of plastic material. The second lens element 920 has a convex object-side surface 922 and a concave image-side surface 924, and both of the object-side surface 922 and the image-side surface 924 are aspheric and have one inflection point.
The third lens element 930 has negative refractive power and it is made of plastic material. The third lens element 930 has a convex object-side surface 932 and a concave image-side surface 934, and both of the object-side surface 932 and the image-side surface 934 are aspheric and have two inflection points.
The fourth lens element 940 has positive refractive power and it is made of plastic material. The fourth lens element 940 has a convex object-side surface 942 and a convex image-side surface 944, and both of the object-side surface 942 and the image-side surface 944 are aspheric. The object-side surface 942 has two inflection points and the image-side surface 944 has three inflection points.
The fifth lens element 950 has positive refractive power and it is made of plastic material. The fifth lens element 950 has a concave object-side surface 952 and a convex image-side surface 954, and both of the object-side surface 952 and the image-side surface 954 are aspheric and have two inflection points.
The sixth lens element 960 has negative refractive power and it is made of plastic material. The sixth lens element 960 has a convex object-side surface 962 and a concave image-side surface 964. The object-side surface 962 has two inflection points and the image-side surface 964 has one inflection point. Hereby, the back focal length is reduced to miniaturize the lens element effectively. In addition, the angle of incident with incoming light from an off-axis view field can be suppressed effectively and the aberration in the off-axis view field can be corrected further.
The IR-bandstop filter 980 is made of glass material without affecting the focal length of the optical image capturing system and it is disposed between the sixth lens element 960 and the image plane 990.
Please refer to the following Table 17 and Table 18.
The detailed data of the optical image capturing system of the ninth Embodiment is as shown in Table 17.

TABLE 17

Data of the optical image capturing system
f = 8.057 mm; f/HEP = 1.7; HAF = 42.501 deg

						Focal
Surface #	Curvature Radius	Thickness	Material	Index	Abbe #	length

0	Object	1E+18	1E+18
1	Ape. stop	1E+18	−0.387
2	Lens 1	5.368166457	1.346	Plastic	1.535	56.27	16.761
3		12.15915661	0.000
4		1E+18	0.659
5	Lens 2	6.285139021	0.424	Plastic	1.642	22.46	−31.485
6		4.677035919	0.537
7	Lens 3	108.6932408	0.688	Plastic	1.545	55.96	−21.294
8		10.48446657	0.164
9	Lens 4	3.869993376	1.000	Plastic	1.545	55.96	6.962
10		−200	1.530
11	Lens 5	−2.750683408	1.007	Plastic	1.545	55.96	9.359
12		−2.019742125	0.100
13	Lens 6	6.607293642	1.814	Plastic	1.642	22.46	−7.797
14		2.553373703	1.132
15	IR-bandstop	1E+18	0.500	BK_7	1.517	64.13
	filter
16		1E+18	1.100
17	Image plane	1E+18	0.000

Reference wavelength (d-line) = 555 nm; shield position: The clear aperture of the fourth surface is 2.650 mm. The clear aperture of the fourteenth surface is 6.675 mm.

As for the parameters of the aspheric surfaces of the ninth Embodiment, reference is made to Table 18.

TABLE 18

Aspheric Coefficients

Surface #

	2	3	5	6	7	8	9

k	−9.345426E−01	0.000000E+00	0.000000E+00	−9.071161E+00	0.000000E+00	0.000000E+00	−1.092201E+01
A4	−6.889329E−06	−5.271485E−03	−2.208225E−02	−5.930251E−03	1.476207E−03	−3.391058E−02	−5.583808E−03
A6	4.906389E−04	4.275348E−04	−1.241832E−03	−2.663194E−03	1.765995E−03	1.001990E−02	1.483542E−03
A8	−3.446583E−04	−1.998602E−04	4.632128E−04	7.648649E−04	−6.409845E−04	−2.419285E−03	−4.394838E−04
A10	1.353960E−04	5.744007E−05	−5.120211E−05	−1.077648E−04	1.018343E−04	4.058252E−04	6.484697E−05
A12	−3.099408E−05	−1.287066E−05	3.651296E−06	7.637841E−06	−9.031697E−06	−4.316878E−05	−6.773373E−06
A14	3.768408E−06	1.411606E−06	−6.916027E−07	−2.934822E−07	2.962775E−07	2.518132E−06	4.323634E−07
A16	−2.014716E−07	−6.910769E−08	5.050038E−08	6.355413E−09	2.410237E−09	−5.943619E−08	−1.106553E−08
A18	1.181645E−09	0.000000E+00	0.000000E+00	0.000000E+00	0.000000E+00	0.000000E+00	0.000000E+00
A20	0.000000E+00	0.000000E+00	0.000000E+00	0.000000E+00	0.000000E+00	0.000000E+00	0.000000E+00

Surface #

	10	11	12	13	14

k	0.000000E+00	−4.879518E−01	−1.188314E+00	−1.966015E+01	−6.213531E+00
A4	4.513334E−03	6.573445E−03	1.006175E−02	−7.995787E−04	−1.369851E−03
A6	−1.557571E−03	−2.598476E−03	−3.309403E−03	−3.106721E−04	3.661973E−06
A8	2.511600E−04	6.058307E−04	5.875334E−04	3.677448E−05	8.622187E−07
A10	−3.628783E−05	−7.693021E−05	−7.126643E−05	−3.400140E−06	−8.052121E−08
A12	2.980944E−06	7.516941E−06	6.169679E−06	1.885748E−07	3.184783E−09
A14	−1.168073E−07	−4.234204E−07	−2.900322E−07	−5.140773E−09	−5.601319E−11
A16	1.849547E−09	9.641725E−09	5.264772E−09	5.382280E−11	3.640082E−13
A18	0.000000E+00	0.000000E+00	0.000000E+00	0.000000E+00	0.000000E+00
A20	0.000000E+00	0.000000E+00	0.000000E+00	0.000000E+00	0.000000E+00

In the ninth Embodiment, the presentation of the aspheric surface formula is similar to that in the first embodiment. Besides, the definitions of parameters in following tables are equal to those in the first embodiment, so the repetitious details will not be given here.
The following contents may be deduced from Table 17 and Table 18.
The numerical related to the length of outline curve is shown according to table 17 and table 18.


Ninth embodiment (Primary reference wavelength = 555 nm)

ARE	½(HEP)	ARE value	ARE − ½(HEP)	2(ARE/HEP) %	TP	ARE/TP (%)

11	2.372	2.450	0.078	103.29%	1.379	177.66%
12	2.372	2.375	0.004	100.15%	1.379	172.26%
21	2.372	2.426	0.055	102.31%	0.420	577.73%
22	2.372	2.382	0.010	100.43%	0.420	567.09%
31	2.372	2.372	0.001	100.03%	0.797	297.77%
32	2.372	2.389	0.017	100.73%	0.797	299.84%
41	2.372	2.395	0.024	100.99%	0.999	239.75%
42	2.372	2.373	0.001	100.04%	0.999	237.49%
51	2.372	2.678	0.306	112.92%	0.999	267.98%
52	2.372	2.756	0.385	116.21%	0.999	275.81%
61	2.372	2.386	0.014	100.61%	1.737	137.37%
62	2.372	2.464	0.092	103.89%	1.737	141.85%

ARS	EHD	ARS value	ARS − EHD	(ARS/EHD)%	TP	ARS/TP (%)

11	2.498	2.588	0.090	103.58%	1.379	187.66%
12	2.674	2.716	0.041	101.55%	1.379	196.94%
21	2.664	2.836	0.171	106.43%	0.420	675.12%
22	2.989	3.062	0.073	102.44%	0.420	729.10%
31	3.089	3.152	0.063	102.04%	0.797	395.67%
32	3.228	3.360	0.132	104.09%	0.797	421.76%
41	3.539	3.606	0.068	101.91%	0.999	360.97%
42	3.671	3.749	0.079	102.14%	0.999	375.28%
51	3.718	4.297	0.578	115.56%	0.999	429.96%
52	3.998	4.800	0.802	120.07%	0.999	480.32%
61	5.016	5.247	0.230	104.59%	1.737	302.08%
62	6.581	6.879	0.297	104.52%	1.737	396.02%

The following contents may be deduced from Table 17 and Table 18.


Related inflection point values of ninth Embodiment (Primary reference wavelength: 555 nm)

HIF111	2.2883	HIF111/HOI	0.3051	SGI111	0.4908	\|SGI111\|/(\|SGI111\| + TP1)	0.2672
HIF121	1.1954	HIF121/HOI	0.1594	SGI121	0.0488	\|SGI121\|/(\|SGI121\| + TP1)	0.0350
HIF211	0.7640	HIF211/HOI	0.1019	SGI211	0.0389	\|SGI211\|/(\|SGI211\| + TP2)	0.0841
HIF221	1.0428	HIF221/HOI	0.1390	SGI221	0.0970	\|SGI221\|/(\|SGI221\| + TP2)	0.1863
HIF311	1.9679	HIF311/HOI	0.2624	SGI311	0.0606	\|SGI311\|/(\|SGI311\| + TP3)	0.0809
HIF312	3.0613	HIF312/HOI	0.4082	SGI312	−0.0507	\|SGI312\|/(\|SGI312\| + TP3)	0.0686
HIF321	0.5383	HIF321/HOI	0.0718	SGI321	0.0112	\|SGI321\|/(\|SGI321\| + TP3)	0.0160
HIF322	2.8866	HIF322/HOI	0.3849	SGI322	−0.3207	\|SGI322\|/(\|SGI322\| + TP3)	0.3180
HIF411	1.3702	HIF411/HOI	0.1827	SGI411	0.1801	\|SGI411\|/(\|SGI411\| + TP4)	0.1526
HIF412	3.0973	HIF412/HOI	0.4130	SGI412	0.1700	\|SGI412\|/(\|SGI412\| + TP4)	0.1453
HIF421	0.3175	HIF421/HOI	0.0423	SGI421	−0.0002	\|SGI421\|/(\|SGI421\| + TP4)	0.0002
HIF422	1.2911	HIF422/HOI	0.1722	SGI422	0.0027	\|SGI422\|/(\|SGI422\| + TP4)	0.0027
HIF423	3.2504	HIF423/HOI	0.4334	SGI423	−0.2903	\|SGI423\|/(\|SGI423\| + TP4)	0.2250
HIF511	2.4526	HIF511/HOI	0.3270	SGI511	−1.1239	\|SGI511\|/(\|SGI511\| + TP5)	0.5275
HIF512	3.4664	HIF512/HOI	0.4622	SGI512	−1.7484	\|SGI512\|/(\|SGI512\| + TP5)	0.6346
HIF521	2.6044	HIF521/HOI	0.3472	SGI521	−1.4815	\|SGI521\|/(\|SGI521\| + TP5)	0.5954
HIF522	3.6900	HIF522/HOI	0.4920	SGI522	−2.2388	\|SGI522\|/(\|SGI522\| + TP5)	0.6898
HIF611	1.5218	HIF611/HOI	0.2029	SGI611	0.1381	\|SGI611\|/(\|SGI611\| + TP6)	0.0708
HIF612	4.9050	HIF612/HOI	0.6540	SGI612	−0.4138	\|SGI612\|/(\|SGI612\| + TP6)	0.1858
HIF621	1.8532	HIF621/HOI	0.2471	SGI621	0.4422	\|SGI621\|/(\|SGI621\| + TP6)	0.1960

The above-mentioned descriptions represent merely the exemplary embodiment of the present disclosure, without any intention to limit the scope of the present disclosure thereto. Various equivalent changes, alternations or modifications based on the claims of present disclosure are all consequently viewed as being embraced by the scope of the present disclosure.

Claims

1. An optical image capturing system, from an object side to an image side, comprising:

a first lens element with refractive power;

a second lens element with refractive power;

a third lens element with refractive power;

a fourth lens element with refractive power;

a fifth lens element with refractive power;

a sixth lens element with refractive power; and

an image plane;

wherein the optical image capturing system consists of the six lens elements with refractive power, a maximum height for image formation on the image plane perpendicular to the optical axis in the optical image capturing system is denoted by HOI, at least two lens elements among the first through sixth lens elements respectively have at least one inflection point on at least one surface thereof, at least one lens element among the first through sixth lens elements has positive refractive power, focal lengths of the first through sixth lens elements are f1, f2, f3, f4, f5 and f6 respectively, a focal length of the optical image capturing system is f, an entrance pupil diameter of the optical image capturing system is HEP, a distance on an optical axis from an object-side surface of the first lens element to the image plane is HOS, a distance on an optical axis from the object-side surface of the first lens element to the image-side surface of the sixth lens element is InTL, a half of a maximum view angle of the optical image capturing system is HAF, a length of outline curve from an axial point on any surface of any one of the six lens elements to a coordinate point of vertical height with a distance of a half of the entrance pupil diameter from the optical axis on the surface along an outline of the surface is denoted as ARE, and the following relations are satisfied: 1.0≦f/HEP≦2.0, 0.5≦HOS/f≦5.0 and 0.9≦2(ARE/HEP)≦1.5.

2. The optical image capturing system of claim 1, wherein a maximum height for image formation on the image plane perpendicular to the optical axis in the optical image capturing system is denoted by HOI, and following relations are satisfied: 0.5≦HOS/HOI≦1.6.

3. The optical image capturing system of claim 1, wherein a half of a maximal view angle of the optical image capturing system is denoted HAF, and following relations are satisfied: 0 deg<HAF≦60 deg.

4. The optical image capturing system of claim 1, wherein the image plane is a plane or a curved surface.

5. The optical image capturing system of claim 1, wherein TV distortion for image formation in the optical image capturing system is TDT, a maximum height for image formation on the image plane perpendicular to the optical axis in the optical image capturing system is denoted by HOI, a lateral aberration of the longest operation wavelength of a visible light of a positive direction tangential fan of the optical image capturing system passing through an edge of the entrance pupil and incident on the image plane by 0.7 HOI is denoted as PLTA, and a lateral aberration of the shortest operation wavelength of a visible light of the positive direction tangential fan of the optical image capturing system passing through the edge of the entrance pupil and incident on the image plane by 0.7 HOI is denoted as PSTA, a lateral aberration of the longest operation wavelength of a visible light of a negative direction tangential fan of the optical image capturing system passing through the edge of the entrance pupil and incident on the image plane by 0.7 HOI is denoted as NLTA, a lateral aberration of the shortest operation wavelength of a visible light of a negative direction tangential fan of the optical image capturing system passing through the edge of the entrance pupil and incident on the image plane by 0.7 HOI is denoted as NSTA, a lateral aberration of the longest operation wavelength of a visible light of a sagittal fan of the optical image capturing system passing through the edge of the entrance pupil and incident on the image plane by 0.7 HOI is denoted as SLTA, a lateral aberration of the shortest operation wavelength of a visible light of the sagittal fan of the optical image capturing system passing through the edge of the entrance pupil and incident on the image plane by 0.7 HOI is denoted as SSTA, and the following relations are satisfied: PLTA≦50 μm; PSTA≦50 μm; NLTA≦50 μm; NSTA≦50 μm; SLTA≦50 μm; and SSTA≦50 μm; |TDT|<100%.

6. The optical image capturing system of claim 1, wherein a maximum effective half diameter position of any surface of any one of the six lens elements is denoted as EHD, and a length of outline curve from an axial point on any surface of any one of the six lens elements to the maximum effective half diameter position of the surface along the outline of the surface is denoted as ARS, and the following relation is satisfied: 0.9≦ARS/EHD≦2.0.

7. The optical image capturing system of claim 1, wherein a length of outline curve from an axial point on the object-side surface of the sixth lens element to a coordinate point of vertical height with a distance of a half of the entrance pupil diameter from the optical axis on the surface along an outline of the surface is denoted as ARE61; a length of outline curve from an axial point on the image-side surface of the sixth lens element to the coordinate point of vertical height with the distance of a half of the entrance pupil diameter from the optical axis on the surface along the outline of the surface is denoted as ARE62, and a thickness of the sixth lens element on the optical axis is TP6, and the following relations are satisfied: 0.05ARE61/TP6≦15 and 0.05≦ARE62/TP6≦15.

8. The optical image capturing system of claim 1, wherein a length of outline curve from an axial point on the object-side surface of the fifth lens element to a coordinate point of vertical height with a distance of a half of the entrance pupil diameter from the optical axis on the surface along an outline of the surface is denoted as ARE51; a length of outline curve from an axial point on the image-side surface of the fifth lens element to the coordinate point of vertical height with the distance of a half of the entrance pupil diameter from the optical axis on the surface along the outline of the surface is denoted as ARE52, and a thickness of the fifth lens element on the optical axis is TP5, and the following relations are satisfied: 0.05≦ARE51/TP5≦15 and 0.05≦ARE52/TP5≦15.

9. The optical image capturing system of claim 1, further comprising an aperture stop, a distance from the aperture stop to the image plane on the optical axis is InS, and the following relation 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 element with refractive power;

a second lens element with refractive power;

a third lens element with refractive power;

a fourth lens element with refractive power;

a fifth lens element with refractive power;

a sixth lens element with refractive power; and

an image plane;

wherein the optical image capturing system consists of the six lens elements with refractive power, a maximum height for image formation on the image plane perpendicular to the optical axis in the optical image capturing system is denoted by HOI, at least one lens element among the first through sixth lens elements has at least two inflection points on at least one surface thereof, at least one lens element among the first through third lens elements has positive refractive power, at least one lens element among the fourth through sixth lens elements has positive refractive power, focal lengths of the first through sixth lens elements are f1, f2, f3, f4, f5 and f6 respectively, a focal length of the optical image capturing system is f, an entrance pupil diameter of the optical image capturing system is HEP, a distance on an optical axis from an object-side surface of the first lens element to the image plane is HOS, a distance on an optical axis from the object-side surface of the first lens element to the image-side surface of the sixth lens element is InTL, a half of a maximum view angle of the optical image capturing system is HAF, a length of outline curve from an axial point on any surface of any one of the six lens elements to a coordinate point of vertical height with a distance of a half of the entrance pupil diameter from the optical axis on the surface along an outline of the surface is denoted as ARE, and the following relations are satisfied: 1.0≦f/HEP≦2.0, 0.5≦HOS/f≦3.0 and 0.9≦2(ARE/HEP)≦1.5.

11. The optical image capturing system of 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 denoted by HOI, and the following relation is satisfied: 0.5≦HOS/HOI≦1.6.

12. The optical image capturing system of claim 10, wherein at least one lens element among the first through third lens elements has at least one critical point on at least one surface thereof.

13. The optical image capturing system of claim 10, wherein a maximum effective half diameter position of any surface of any one of the six lens elements is denoted as EHD, and a length of outline curve from an axial point on any surface of any one of the six lens elements to the maximum effective half diameter position of the surface along the outline of the surface is denoted as ARS, and the following relation is satisfied: 0.9≦ARS/EHD≦2.0.

14. The optical image capturing system of 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 denoted by HOI, a lateral aberration of the longest operation wavelength of a visible light of a positive direction tangential fan of the optical image capturing system passing through an edge of the entrance pupil and incident on the image plane by 0.7 HOI is denoted as PLTA, and a lateral aberration of the shortest operation wavelength of a visible light of the positive direction tangential fan of the optical image capturing system passing through the edge of the entrance pupil and incident on the image plane by 0.7 HOI is denoted as PSTA, a lateral aberration of the longest operation wavelength of a visible light of a negative direction tangential fan of the optical image capturing system passing through the edge of the entrance pupil and incident on the image plane by 0.7 HOI is denoted as NLTA, a lateral aberration of the shortest operation wavelength of a visible light of a negative direction tangential fan of the optical image capturing system passing through the edge of the entrance pupil and incident on the image plane by 0.7 HOI is denoted as NSTA, a lateral aberration of the longest operation wavelength of a visible light of a sagittal fan of the optical image capturing system passing through the edge of the entrance pupil and incident on the image plane by 0.7 HOI is denoted as SLTA, a lateral aberration of the shortest operation wavelength of a visible light of the sagittal fan of the optical image capturing system passing through the edge of the entrance pupil and incident on the image plane by 0.7 HOI is denoted as SSTA, and the following relations are satisfied: PLTA≦50 μm; PSTA≦50 μm; NLTA≦50 μm; NSTA≦50 μm; SLTA≦50 μm and SSTA≦50 μm.

15. The optical image capturing system of claim 10, wherein a distance between the first lens element and the second lens element on the optical axis is IN12, and the following relation is satisfied: 0≦IN12/f≦5.0.

16. The optical image capturing system of claim 10, wherein a distance between the fifth lens element and the sixth lens element on the optical axis is IN56, and the following relation is satisfied: 0≦IN56/f≦5.0.

17. The optical image capturing system of claim 10, wherein the distance from the fifth lens element to the sixth lens element on the optical axis is IN56, a thickness of the fifth lens element and a thickness of the sixth lens element on the optical axis respectively are TP5 and TP6, and the following relation is satisfied: 0.1≦(TP6+IN56)/TP5≦50.

18. The optical image capturing system of claim 10, wherein the distance from the first lens element to the second lens element on the optical axis is IN12, a thickness of the first lens element and a thickness of the second lens element on the optical axis respectively are TP1 and TP2, and the following relation is satisfied: 0.1≦(TP1+IN12)/TP2≦50.

19. The optical image capturing system of claim 10, wherein at least one lens element among the first through the sixth lens elements is a light filtration element with a wavelength of less than 500 nm.

20. An optical image capturing system, from an object side to an image side, comprising:

a first lens element with refractive power;

a second lens element with refractive power;

a third lens element with refractive power;

a fourth lens element with refractive power;

a fifth lens element with refractive power;

a sixth lens element with refractive power; and

an image plane; wherein the optical image capturing system consists of the six lens elements with refractive power, a maximum height for image formation on the image plane perpendicular to the optical axis in the optical image capturing system is denoted by HOI, at least one lens element among the first through third lens elements has positive refractive power, at least one lens element among the fourth through sixth lens elements has a positive refractive power, at least three lens elements among first through sixth lens element respectively have at least one inflection point on at least one surface thereof; focal lengths of the first through sixth lens elements are f1, f2, f3, f4, f5 and f6 respectively, a focal length of the optical image capturing system is f, an entrance pupil diameter of the optical image capturing system is HEP, a distance on an optical axis from an object-side surface of the first lens element to the image plane is HOS, a distance on an optical axis from the object-side surface of the first lens element to the image-side surface of the sixth lens element is InTL, a half of maximum view angle of the optical image capturing system is HAF, a length of outline curve from an axial point on any surface of any one of the six lens elements to a coordinate point of vertical height with a distance of a half of the entrance pupil diameter from the optical axis on the surface along an outline of the surface is denoted as ARE, and the following relations are satisfied: 1.0≦f/HEP≦2.0, 0.5≦HOS/f≦1.6, 0.5≦HOS/HOI≦1.6 and 0.9≦2(ARE/HEP)≦1.5.

21. The optical image capturing system of claim 20, wherein a maximum effective half diameter position of any surface of any one of the six lens elements is denoted as EHD, and a length of outline curve from an axial point on any surface of any one of the six lens elements to the maximum effective half diameter position of the surface along the outline of the surface is denoted as ARS, and the following relation is satisfied: 0.9≦ARS/EHD≦2.0.

22. The optical image capturing system of claim 20, wherein the following relation is satisfied: 0 mm≦HOS≦30 mm.

23. The optical image capturing system of claim 20, wherein a length of outline curve from an axial point on the object-side surface of the sixth lens element to a coordinate point of vertical height with a distance of a half of the entrance pupil diameter from the optical axis on the surface along an outline of the surface is denoted as ARE61; a length of outline curve from an axial point on the image-side surface of the sixth lens element to the coordinate point of vertical height with the distance of a half of the entrance pupil diameter from the optical axis on the surface along the outline of the surface is denoted as ARE62, and a thickness of the sixth lens element on the optical axis is TP6, and the following relations are satisfied: 0.05≦ARE61/TP6≦15 and 0.05≦ARE62/TP6≦15.

24. The optical image capturing system of claim 20, wherein a length of outline curve from an axial point on the object-side surface of the fifth lens element to a coordinate point of vertical height with a distance of a half of the entrance pupil diameter from the optical axis on the surface along an outline of the surface is denoted as ARE51; a length of outline curve from an axial point on the image-side surface of the fifth lens element to the coordinate point of vertical height with the distance of a half of the entrance pupil diameter from the optical axis on the surface along the outline of the surface is denoted as ARE52, and a thickness of the fifth lens element on the optical axis is TP5, and the following relations are satisfied: 0.05≦ARE51/TP5≦5 and 0.05≦ARE52/TP5≦15.

25. The optical image capturing system of claim 20, wherein the optical image capturing system further comprise an aperture stop, an image sensing device and a driving module, the image sensing device is disposed on the image plane, a distance from the aperture stop to the image plane is InS, and the driving module couples with the lens elements to displace the lens elements, and the following relation is satisfied: 0.2≦InS/HOS≦1.1.