# Patent

## Title
Optical image capturing system

## 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.

## Background
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 EHD11. 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/|Σ NPR|≦15. Preferably, the following relation may be satisfied: 1≦Σ PPR/|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/R2|≦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≦1|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=ch2/[1+[1−(k+1)c2h2]0.5]+A4h4+A6h6+A8h8+A10h10+A12h12+A14h14+A16h16+A18h18+A20h20+ . . .   (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, A12, 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|2276. 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=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













Surface





Focal


#
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−1 2
−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
1/2(HEP)
ARE value
ARE-1/2(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













Surface




Abbe
Focal


#
Curvature Radius
Thickness
Material
Index
#
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
















Sur-



face















#
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







ΣPPR/


TP4/(IN34 + 


ΣPPR
ΣNPR
|ΣNPR |
IN12/f 
IN56/f
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
ARE − 
2(ARE/HEP)

ARE/TP


ARE
1⁄2(HEP)
value
1⁄2(HEP)
%
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
ARS −
(ARS/EHD)

ARS/TP


ARS
EHD
value
EHD
%
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.










Third embodiment (Primary reference wavelength: 555 nm)




















| f/f1 |
| f/f2 |
| f/f3 |
| f/f4 |
| f/f5 |
| f/f6 |





0.37188
0.27024
0.11330
0.52856
1.58974
1.28761







ΣPPR/


TP4/(IN34 + 


ΣPPR
ΣNPR
|ΣNPR |
IN12/f 
IN56/f
TP4 + IN45)





2.60348
1.55785
1.67120
0.09874
0 01602
0.48784













| f1/f2 |
| f2/f3 |
(TP1 + IN12)/TP2
(TP6 + IN56)/TP5





0.72670
0.41924
4.40478
0.69179















HOS
InTL
HOS/HOI
InS/HOS
ODT %
TDT %





10.73830
7.56981
1.43177
0.99907
1.61720
1.37111





HVT51
HVT52
HVT61
HVT62
HVT62/HOI
HVT62/HOS





0
0
3.18650
4.43391
0.59119
0.41291





HVT21
HVT22
HVT31
HVT32
HVT41
HVT42





1.017
1.877
1.883
1.217
1.831
1.269





TP2/TP3
TP3/TP4
InRS61
InRS62
| InRS61 |/TP6
| InRS62 |/TP6





0.48077
0.84187
−0.23331
0.65096
0.23172
0.64653





PLTA
PSTA
NLTA
NSTA
SLTA
SSTA





−0.026 mm
−0.013 mm
0.013 mm
−0.003 mm
−0.037 mm
−0.040 mm









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
ARE −
2(ARE/HEP)

ARE/TP


ARE
1⁄2(HEP)
value
1⁄2(HEP)
%
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
ARS −
(ARS/EHD)

ARS/TP


ARS
EHD
value
EHD
%
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














Surface






Focal













#
Curvature Radius
Thickness
Material
Index
Abbe #
length

















0
Object
1E+18
1E+18






1
Ape.
1E+18
−0.010







stop








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
1E+18
0.500
BK_7
1.517
64.13




stop









filter








16

1E+18
1.120






17
Image
1E+18
0.000







plane





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







ΣPPR/


TP4/(IN34 + 


ΣPPR
ΣNPR
|ΣNPR |
IN12/f 
IN56/f
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
−0.016 mm
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
ARE − 
2(ARE/HEP)

ARE/TP


ARE
1⁄2(HEP) 
value
1⁄2(HEP)
%
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
ARS −
(ARS/EHD)

ARS/TP


ARS
EHD
value
EHD
%
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














Surface






Focal













#
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.










Fifth embodiment (Primary reference wavelength: 555 nm)




















| f/f1 |
| f/f2 |
| f/f3 |
| f/f4 |
| f/f5 |
| f/f6 |





0.39967
0.21237
0.18374
0.73847
1.23392
1.13936







ΣPPR/


TP4/(IN34 + 


ΣPPR
ΣNPR
|ΣNPR |
IN12/f 
IN56/f
TP4 + IN45)





2.37206
1.53547
1.54485
0.05823
0.01478
0.56389













| f1/f2 |
| f2/f3 |
(TP1 + IN12)/TP2
(TP6 + IN56)/TP5





0.53136
0.86520
4.43269
0.80056















HOS
InTL
HOS/HOI
InS/ HOS
ODT %
TDT %





12.00000
8.86651
1.60000
0.99917
1.60860
0.80934





HVT51
HVT52
HVT61
HVT62
HVT62/HOI
HVT62/HOS





3.34833
3.54262
2.81428
4.49754
0.59967
0.37480





HVT21
HVT22
HVT31
HVT32
HVT41
HVT42





1.586
2.299
1.896
1.223
2.255
0.000





TP2/TP3
TP3/TP4
InRS61
InRS62
| InRS61 |/TP6
| InRS62 |/TP6





0.31718
1.21263
−0.47223
0.78739
0.39989
0.66678





PLTA
PSTA
NLTA
NSTA
SLTA
SSTA





−0.014 mm
0.009 mm
−0.030 mm
−0.058 mm
−0.011 mm
−0.019 mm









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
ARE −
2(ARE/HEP)

ARE/TP


ARE
1⁄2(HEP)
value
1⁄2(HEP)
%
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
ARS −
(ARS/EHD)

ARS/TP


ARS
EHD
value
EHD
%
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














Surface






Focal













#
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





















Sur-








face








#
2
3
5
6
7
8





k
−3.955429E+00
0.000000E+00
0.000000E+00
−1.342063E+01
0.000000E+00
0.000000E+00


A4
1.662411E−03
−8.130280E−03
−2.571481E−02
−1.128980E−03
1.060999E−02
−1.232767E−02


A6
−3.313249E−04
2.373055E−03
−1.385310E−03
−6.085644E−03
−5.528894E−03
−2.417219E−03


A8
−1.155642E−04
−1.795080E−03
1.016030E−03
2.663015E−03
2.608940E−03
4.934894E−04


A10
1.758470E−04
7.469418E−04
−4.111754E−04
−7.190347E−04
−7.611866E−04
1.762668E−04


A12
−8.432801E−05
−1.897586E−04
1.161136E−04
1.191082E−04
1.184948E−04
−6.598018E−05


A14
1.743503E−05
2.525790E−05
−1.802905E−05
−1.118093E−05
−9.827191E−06
7.306262E−06


A16
−1.411008E−06
−1.464132E−06
9.482279E−07
4.408408E−07
3.455075E−07
−2.698999E−07


A18
1.181645E−09
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





Sur-








face 








#
9
10
11
12
13
14





k 
−5.515447E−01
0.000000E+00
5.446828E−02
−1.204464E+00
−1.991995E+01
−4.215265E+00


A4
−1.616212E−02
−5.362487E−03
−1.121884E−02
1.198927E−02
8.763047E−03
−4.425719E−04


A6
2.320539E−03
4.117621E−03
3.703769E−03
−3.250735E−03
−2.476974E−03
−2.630633E−04


A8
−1.579033E−03
−2.031325E−03
−6.058662E−04
5.896183E−04
3.091503E−04
2.287113E−05


A10
4.839010E−04
4.086486E−04
−2.024576E−05
−9.039620E−05
−2.569637E−05
−1.089153E−06


A12
−7.342250E−05
−4.384614E−05
1.549633E−05
8.911511E−06
1.313381E−06
3.060474E−08


A14
5.415816E−06
2.478512E−06
−1.379098E−06
−4.488463E−07
−3.671390E−08
−4.734783E−10


A16
−1.534863E−07
−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
0.000000E+00


A20
0.000000E+00
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







ΣPPR/


TP4/(IN34 + 


ΣPPR
ΣNPR
|ΣNPR |
IN12/f 
IN56/f
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
1/2(HEP)
ARE value
ARE-1/2(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













Surface





Focal


#
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
−114.88


9









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


















Sur-
















face








#
2
3
5
6
7
8





k
−4.767497E+01
0.000000E+00
0.000000E+00
0.000000E+00
0.000000E+00
−1.434629E−01


A4
−1.205654E−03
−2.176181E−02
−1.543736E−02
7.810373E−03
−1.101912E−03
−1.580139E−02


A6
−4.991279E−03
−1.552467E−03
−4.929412E−03
−7.692406E−03
−2.565976E−03
4.177300E−03


A8
2.587823E−03
2.325533E−03
4.496228E−03
3.053873E−03
1.034234E−03
−1.213702E−03


A10
−9.584951E−04
−9.804232E−04
−1.771065E−03
−8.123019E−04
−3.320625E−04
2.032102E−04


A12
2.082758E−04
2.638642E−04
4.217027E−04
1.262713E−04
5.812530E−05
−1.984420E−05


A14
−2.400825E−05
−4.120887E−05
−5.838048E−05
−1.062970E−05
−4.886865E−06
1.074114E−06


A16
1.202013E−06
2.856742E−06
3.502747E−06
3.584180E−07
1.571676E−07
−2.520141E−08


A18
1.181645E−09
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





Sur-








face








#
9
10
11
12
13
14





k
0.000000E+00
0.000000E+00
−6.451209E+01
−1.652298E+00
−3.630342E+01
−4.416116E+00


A4
−1.133483E−02
−8.337260E−03
−8.406998E−03
1.087671E−02
7.601202E−03
−2.223484E−03


A6
1.343996E−03
1.259292E−03
3.651241E−03
−2.774985E−03
−2.638282E−03
−2.223763E−05


A8
−4.169603E−04
−3.780144E−04
−8.693153E−04
3.451970E−04
3.615988E−04
7.146473E−06


A10
1.238789E−04
6.968561E−05
1.310075E−04
−2.062412E−05
−3.110969E−05
−4.454250E−07


A12
−1.861365E−05
−8.334539E−06
−1.221276E−05
9.275343E−07
1.639827E−06
1.385414E−08


A14
1.339987E−06
4.951674E−07
5.781129E−07
−5.338105E−08
−4.771654E−08
−2.237470E−10


A16
−3.709268E−08
−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
0.000000E+00


A20
0.000000E+00
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.










Seventh Embodiment (Primary reference wavelength: 555 nm)




















| f/f1 |
| f/f2 |
| f/f3 |
| f/f4 |
| f/f5 |
| f/f6 |





0.11466
0.90151
0.61084
0.05905
1.60400
1.27690







ΣPPR/


TP4/(IN34 + 


ΣPPR
ΣNPR
|ΣNPR |
IN12/f 
IN56/f
TP4 + IN45)





1.77772
2.78925
0 63735
0.02999
0 01474
0.45077













| f1/f2 |
| f2/f3 |
(TP1 + IN12)/TP2
(TP6 + IN56)/TP5





7.86230
0.67757
0.56464
0.88522















HOS
InTL
HOS/HOI
InS/ HOS
ODT %
TDT %





11.06660
8.11203
1.47555
0.99910
1.31077
0.500563





HVT51
HVT52
HVT61
HVT62
HVT62/HOI
HVT62/HOS





0
3.59389
2.67314
4.36936
0.58258
0.39482





HVT21
HVT22
HVT31
HVT32
HVT41
HVT42





0.804
0.000
1.919
3.213
1.592
2.014





TP2/TP3
TP3/TP4
InRS61
InRS62
| InRS61 |/TP6
| InRS62 |/TP6





2.43215
0.41761
−0.50038
0.34863
0.38013
0.26485





PLTA
PSTA
NLTA
NSTA
SLTA
SSTA





−0.012 mm
−0.010 mm
0.014 mm
−0.022 mm
−0.034 mm
−0.013 mm









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
1/2(HEP) 
ARE value
ARE-1/2(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 | + TP4)
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 | + TP5)
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














Surface






Focal













#
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





















Sur-








face








#
2
3
5
6
7
8





k
−8.828012E+01
0.000000E+00
0.000000E+00
0.000000E+00
0.000000E+00
−2.885527E−01


A4
3.237687E−03
−2.186999E−02
−1.567146E−02
6.959914E−03
−5.027136E−03
−1.925885E−02


A6
−9.801711E−03
−3.875537E−03
−7.940353E−03
−8.207280E−03
−9.207729E−04
5.730929E−03


A8
5.762744E−03
3.604661E−03
6.407662E−03
3.737301E−03
7.929380E−04
−1.626828E−03


A10
−2.323918E−03
−1.325276E−03
−2.491240E−03
−1.126530E−03
−3.579275E−04
2.755241E−04


A12
5.624199E−04
3.424241E−04
6.191214E−04
1.957850E−04
7.194741E−05
−2.799142E−05


A14
−7.350847E−05
−5.701191E−05
−9.397936E−05
−1.839156E−05
−6.551883E−06
1.618737E−06


A16
4.113587E−06
4.529291E−06
6.402167E−06
6.999294E−07
2.223407E−07
−4.139242E−08


A18
1.181645E−09
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





Sur-








face








#
9
10
11
12
13
14





k
0.000000E+00
0.000000E+00
−6.451209E+01
−1.573394E+00
−3.630342E+01
−4.274656E+00


A4
−1.360758E−02
−1.246432E−02
−6.628177E−03
1.091744E−02
4.147275E−03
−3.110823E−03


A6
2.548596E−03
2.193888E−03
1.218044E−03
−2.840972E−03
−1.756710E−03
1.042138E−04


A8
−8.160928E−04
−5.082530E−04
−8.837098E−05
3.318933E−04
2.443338E−04
−1.766573E−06


A10
2.064328E−04
7.344567E−05
−5.680332E−06
−1.181012E−05
−2.115011E−05
−8.025068E−08


A12
−2.989527E−05
−7.281263E−06
1.588577E−06
−4.562742E−07
1.113133E−06
5.111085E−09


A14
2.217955E−06
3.807608E−07
−1.751285E−07
3.281386E−08
−3.208345E−08
−1.093296E−10


A16
−6.502355E−08
−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
0.000000E+00


A20
0.000000E+00
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







ΣPPR/


TP4/(IN34 + 


ΣPPR
ΣNPR
|ΣNPR |
IN12/f 
IN56/f
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
1/2(HEP) 
ARE value
ARE-1/2(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 | + TP4)
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 | + TP5)
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













Surface





Focal


#
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





















Sur-








face








#
2
3
5
6
7
8





k
−9.345426E−01
0.000000E+00
0.000000E+00
−9.071161E+00
0.000000E+00
0.000000E+00


A4
−6.889329E−06
−5.271485E−03
−2.208225E−02
−5.930251E−03
1.476207E−03
−3.391058E−02


A6
4.906389E−04
4.275348E−04
−1.241832E−03
−2.663194E−03
1.765995E−03
1.001990E−02


A8
−3.446583E−04
−1.998602E−04
4.632128E−04
7.648649E−04
−6.409845E−04
−2.419285E−03


A10
1.353960E−04
5.744007E−05
−5.120211E−05
−1.077648E−04
1.018343E−04
4.058252E−04


A12
−3.099408E−05
−1.287066E−05
3.651296E−06
7.637841E−06
−9.031697E−06
−4.316878E−05


A14
3.768408E−06
1.411606E−06
−6.916027E−07
−2.934822E−07
2.962775E−07
2.518132E−06


A16
−2.014716E−07
−6.910769E−08
5.050038E−08
6.355413E−09
2.410237E−09
−5.943619E−08


A18
1.181645E−09
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





Sur-








face








#
9
10
11
12
13
14





k
−1.092201E+0
0.000000E+00
−4.879518E−01
−1.188314E+00
−1.966015E+01
−6.213531E+00


A4
−5.583808E−03
4.513334E−03
6.573445E−03
1.006175E−02
−7.995787E−04
−1.369851E−03


A6
1.483542E−03
−1.557571E−03
−2.598476E−03
−3.309403E−03
−3.106721E−04
3.661973E−06


A8
−4.394838E−04
2.511600E−04
6.058307E−04
5.875334E−04
3.677448E−05
8.622187E−07


A10
6.484697E−05
−3.628783E−05
−7.693021E−05
−7.126643E−05
−3.400140E−06
−8.052121E−08


A12
−6.773373E−06
2.980944E−06
7.516941E−06
6.169679E−06
1.885748E−07
3.184783E−09


A14
4.323634E−07
−1.168073E−07
−4.234204E−07
−2.900322E−07
−5.140773E−09
−5.601319E−11


A16
−1.106553E−08
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
0.000000E+00


A20
0.000000E+00
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.










Ninth Embodiment (Primary reference wavelength: 555 nm)




















| f/f1 |
| f/f2 |
| f/f3 |
| f/f4 |
| f/f5 |
| f/f6 |





0.48069
0.25589
0.37836
1.15727
0.86085
1.03331







ΣPPR/


TP4/(IN34 + 


ΣPPR
ΣNPR
|ΣNPR |
IN12/f 
IN56/f
TP4 + IN45)





3.53212
1.16659
3.02772
0.08182
0.01241
0.37122













|f1/f2 |
|f2/f3 |
(TP1+IN12)/ TP2
(TP6+IN56)/TP5





0.53234
1.47859
4.73459
1.90075















HOS
InTL
HOS/HOI
InS/ HOS
ODT %
TDT %





12.00000
9.26824
1.60000
0.96774
1.64581
0.106292





HVT51
HVT52
HVT61
HVT62
HVT62/HOI
HVT62/HOS





0
0
2.77853
4.47440
0.59659
0.37287





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





0.61575
0.68787
−0.46636
0.51284
0.25712
0.28275





PLTA
PSTA
NLTA
NSTA
SLTA
SSTA





0.004 mm
0.011 mm
0.006 mm
−0.022 mm
0.006 mm
−0.003 mm









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
1/2(HEP) 
ARE value
ARE-1/2(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: 0.05≦ARE61/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/REP)≦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≦15 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.