# Patent

## Title
Optical image capturing system

## Abstract

An optical image capturing system, from an object side to an image side, comprises a first lens, a second lens, a third lens, a fifth lens, and a sixth lens elements. The first lens element with refractive power has a convex object-side surface. The second through fifth lens elements have refractive power and both of an object-side surface and an image-side surface of the four lens elements are aspheric. The sixth lens with refractive power has a concave image-side surface. Both of the image-side and object-side surfaces of the six lens elements are aspheric and at least one of the two surfaces has inflection points. Each of the six lens elements may have refractive power. When satisfying specific conditions, the optical image capturing system can have a larger incoming light quantity and a better optical path adjusting ability to acquire better imaging quality.

## Background
CROSS-REFERENCE TO RELATED APPLICATION
This application claims the benefit of Taiwan Patent Application No. 103137901, filed on Oct. 31, 2014, 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 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 five-lens design. However, the requirement for the higher resolution and imaging quality and the requirement for a large aperture of an end user, like functionality of micro filming and night view, and a wide angle of an end user, like self-shooting function of a preset lens, of the portable electronic device have been raised. The optical image capturing system with large aperture value usually has a problem with lots of aberrations, resulting in the worse of image quality for the image formation and the difficulty of manufacturing the optical image capturing system. The optical image capturing system with wide-angle designs may be faced with a problem of increasing distortion. The optical image capturing system in prior arts cannot meet the requirement of the higher order camera lens module.
Therefore, how to increase an incoming light quantity of the optical lenses for image formation and enlarge the view angle of the optical lenses becomes important. Besides, it's also important to increase total pixels and image quality for the image formation and to have a balance design for the compact optical image capturing system simultaneously.
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 geometrical shape of an image-side surface or an object-side surface of each lens element on an optical axis) to further increase an incoming light quantity of the optical image capturing system effectively, to increase view angle of the optical image capturing system, and to increase a total pixel and 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 are shown as below for further reference.
The Lens Element Parameter Related to a Length or a Height in the Lens Element
A 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 the image-side surface of the sixth lens element to the image plane is denoted by InB. InTL+InB=HOS. 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.
The Lens Element Parameter Related to a Depth of the Lens Element Shape
A distance in parallel with an optical axis from a maximum effective diameter position to an axial point on the object-side surface of the sixth lens element is denoted by InRS61 (instance). A distance in parallel with an optical axis from a maximum effective diameter position to an axial point on the image-side surface of the sixth lens element is denoted by InRS62 (instance). A distance in parallel with an optical axis from an inflection point to an axial point on the object-side surface of the sixth lens element is Inf61 (instance). A distance in parallel with an optical axis from an inflection point to an axial point on the image-side surface of the sixth lens element is Inf62 (instance).
The Lens Element Parameter Related to the Lens Element Shape
A critical point 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 on the object-side surface of the fifth lens element and the optical axis is HVT51. A distance perpendicular to the optical axis between a critical point on the image-side surface of the fifth lens element and the optical axis is HVT52. A distance perpendicular to the optical axis between a critical point on the 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 on the image-side surface of the sixth lens element and the optical axis is HVT62.
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% field. An offset of the spherical aberration is denoted by DFS. An offset of the coma aberration is denoted by DFC.
The disclosure provides an optical image capturing system, an object-side surface or an image-side surface of the sixth lens element has 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 lens, a second lens, a third lens, a fourth lens, a fifth lens, and a sixth lens elements. The first lens element and the sixth lens element have refractive power. The object-side surface and the image-side surface of the first lens element are aspheric and the object-side surface and the image-side surface of the sixth lens element are aspheric. 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. Half of a maximal view angle of the optical image capturing system is HAF. A distance from the object-side surface of the first lens element to the image plane is HOS. The following relation is satisfied: 1.2≦f/HEP≦6, 0.4≦| tan(HAF)|≦3 and 0.5≦HOS/f≦10.
The disclosure provides another optical image capturing system, in order from an object side to an image side, including a first lens, a second lens, a third lens, a fourth lens, a fifth lens, and a sixth lens elements. The first lens element with negative refractive power has a convex object-side surface adjacent to the optical axis, and an image-side surface and the object-side surface of the first lens element are aspheric. The second lens element has positive 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, and an object-side surface and an image-side surface of the sixth lens element are aspheric. The object-side surface and the image-side surface of the first lens element and the sixth lens element are aspheric, correspondingly. 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. Half of a maximal view angle of the optical image capturing system is HAF. A distance from the object-side surface of the first lens element to the image plane is HOS. Optical distortion and TV distortion for image formation in the optical image capturing system are ODT and TDT, respectively. The following relation is satisfied: 1.2≦f/HEP≦6, 0.4≦| tan(HAF)|≦3, 0.5≦HOS/f≦10, |TDT|<60%, and |ODT|≦50%.
The disclosure provides another optical image capturing system, in order from an object side to an image side, including a first lens, a second lens, a third lens, a fourth lens, a fifth lens, and a sixth lens elements. The first lens element with negative refractive power has a convex object-side surface adjacent to the optical axis, and an image-side surface and the object-side surface of the first lens element are aspheric. The second lens element has positive 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 with negative refractive power has a concave image-side surface adjacent to the optical axis, and the image-side surface and an object-side surface of the sixth lens element are aspheric. 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. Half of a maximal view angle of the optical image capturing system is HAF. A distance from the object-side surface of the first lens element to the image plane is HOS. Optical distortion and TV distortion for image formation in the optical image capturing system are ODT and TDT, respectively. The following relation is satisfied: 1.2≦f/HEP≦6, 0.4≦| tan(HAF)|≦3, 0.5≦HOS/f≦10, |TDT|≦60%, and |ODT|≦50%.
An image sensing device whose length of diagonal is less than 1/1.2 inch may be applied to the aforementioned optical image capturing system. A better size of the image sensing device is 1/2.3 inch. The pixel size of the image sensing device is less than 1.4 (μm). A better pixel size of the image sensing device is less than 1.12 (μm). A best pixel size of the image sensing device is less than 0.9 (μm). Besides, the optical image capturing system can be applied to the image sensing device with an aspect ratio of 16:9.
The above optical image capturing system can be applied to a demand of taking a photography having ten million pixels or more, such as UHD (Ultra High Definition) and QHD (Quarter High Definition), and has a high quality image formation.
The height of optical system (HOS) can be reduced to achieve the minimization of the optical image capturing system when an absolute value of f1 is larger than f6 (|f1|>f6).
When |f/f1| is satisfied with the above conditions, the arrangement of the refractive power of the first lens element can avoid generating the abnormal aberration that cannot be corrected. When a sum of |f2|, |f3|, |f4|, and |f5| is larger than a sum of |f1| and |f6|, 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 with negative refractive power may have a concave image-side surface. Hereby, the back focal length is reduced for maintaining the miniaturization, to miniaturize the lens element effectively. In addition, at least one of the object-side and the image-side surfaces 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 TV distortion grid of the optical image capturing system 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 TV distortion grid of the optical image capturing system 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 TV distortion grid of the optical image capturing system 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 TV distortion grid of the optical image capturing system 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 TV distortion grid of the optical image capturing system according to the fifth embodiment of the present application.



DETAILED DESCRIPTION OF THE PREFERRED EMBODIMENTS
An optical image capturing system, in order from an object side to an image side, includes a first lens, a second lens, a third lens, a fourth lens, a fifth lens, and a sixth lens elements with refractive power. The optical image capturing system may further include an image sensing device which is disposed on an image plane.
The optical image capturing system is to 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.
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 INPR. It is beneficial to control the total refractive power and the total length of the optical image capturing system when following conditions are satisfied: 0.5≦ΣPPR/|ΣNPR|≦2.5. Preferably, the following relation may be satisfied: 1≦ΣPPR/|ΣNPR|≦2.0.
Height of the optical image capturing system is HOS. When the ratio of HOS/f is closed to 1, it's favorable for manufacturing a minimized optical image capturing system for image formation with ultra-high pixels.
The sixth lens element with negative refractive power may have a concave image-side surface. Hereby, the back focal length is reduced for maintaining the miniaturization, to miniaturize the lens element effectively. In addition, at least one of the object-side and the image-side surfaces 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. Preferably, each of the object-side surface and the image-side surface of the sixth lens element has at least one inflection point.
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 relation is satisfied: HOS/HOI≦3 and 0.5≦HOS/f≦10. Preferably, the following relation may be satisfied: 1≦HOS/HOI≦2.5 and 1≦HOS/f≦9. Hereby, the miniaturization of the optical image capturing system can be maintained effectively, 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 stops may be arranged for reducing stray light and improving the image 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 effect 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: 0.3≦InS/HOS≦1.1. Preferably, the following relation may be satisfied: 0.4≦InS/HOS≦1. Hereby, features of maintaining the minimization for the optical image capturing system and having wide-angle are available simultaneously.
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: 0.45≦ΣTP/InTL≦0.95. 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 others 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: 0.01≦|R1/R2|≦10. Hereby, the first lens element may have proper strength of the positive refractive power, to avoid the longitudinal spherical aberration to increase too fast. Preferably, the following relation may be satisfied: 0.01≦|R1/R2|≦7.
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: −80<(R11−R12)/(R11+R12)<30. Hereby, the astigmatic 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: 0<IN12/f≦2. Preferably, the following relation may be satisfied: 0.01≦IN12/f≦1.9. Hereby, the chromatic aberration of the lens elements can be improved, such that the performance can be increased.
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: 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 fifth lens element and the sixth lens element on the optical axis is IN56. The following relation is satisfied: 0.2≦(TP6+IN56)/TP5≦20. 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 third lens element, the fourth lens element, and the fifth lens element on the optical axis are TP3, TP4, and TP5, respectively. A distance between the third lens element and the fourth lens element on the optical axis is IN34. A distance between the fourth lens element and the fifth lens element on the optical axis is IN45. A distance from the object-side surface of the first lens element to the image-side surface of the sixth lens element is InTL. The following relation is satisfied: 0.1≦(TP3+TP4+TP5)/ΣTP≦0.8. Preferably, the following relation may be satisfied: 0.4≦(TP3+TP4+TP5)/ΣTP≦0.8. 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.
A distance in parallel with an optical axis from a maximum effective diameter position to an axial point on the object-side surface of the fifth lens element is InRS51 (the InRS51 is positive if the horizontal displacement is toward the image-side surface, or the InRS51 is negative if the horizontal displacement is toward the object-side surface). A distance in parallel with an optical axis from a maximum effective diameter position to an axial point on the image-side surface of the fifth lens element is InRS52. A central thickness of the fifth lens element on the optical axis is TP5. The following relation is satisfied: 0<|InRS52|/TP5≦5. Hereby, it's favorable for manufacturing and forming the lens element and for maintaining the minimization for the optical image capturing system.
A distance perpendicular to the optical axis between a critical point on the object-side surface of the fifth lens element and the optical axis is HVT51. A distance perpendicular to the optical axis between a critical point on the image-side surface of the fifth lens element and the optical axis is HVT52. The following relation is satisfied: 0≦HVT51/HVT52. Hereby, the aberration of the off-axis view field can be corrected effectively.
A distance in parallel with an optical axis from a maximum effective diameter position to an axial point on the object-side surface of the sixth lens element is InRS61. A distance in parallel with an optical axis from a maximum effective diameter position to an axial point on the image-side surface of the sixth lens element is InRS62. A central thickness of the sixth lens element is TP6. The following relation is satisfied: 0<|InRS62|/TP6<3. Hereby, it's favorable for manufacturing and forming the lens element and for maintaining the minimization for the optical image capturing system.
A distance perpendicular to the optical axis between a critical point on the 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 on the image-side surface of the sixth lens element and the optical axis is HVT62. The following relation is satisfied: 0≦HVT61/HVT62. 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.
A distance in parallel with an optical axis from an inflection point to an axial point on the object-side surface of the sixth lens element is denoted by Inf61. A distance in parallel with an optical axis from an inflection point to an axial point on the image-side surface of the sixth lens element is denoted by Inf62. The following relation is satisfied: 0<Inf62/(Inf62+CT6)≦5. Preferably, the following relation may be satisfied: 0.1≦Inf62/(Inf62+CT6)≦1.
The following relation is satisfied for the optical image capturing system of the disclosure: 1 mm≦|InRS52|+|InRS61|≦5 mm. Preferably, the following relation may be satisfied: 1.5 mm≦|InRS52|+|InRS61|≦3.5 mm. Thus, it's favorable for correcting the aberration of surrounding view field for the optical image capturing system by controlling a distance of a maximum effective diameter between adjacent surfaces of the fifth lens element and the sixth lens element.
The following relation is satisfied for the optical image capturing system of the disclosure: 0≦Inf62/|InRS62|≦120. Hereby, a depth of the maximum effective diameter and positions of appearing inflection points on the image-side surface of the sixth lens element can be controlled, to correct the aberration of off-axis view field and maintain the minimization for the optical image capturing system effectively.
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 staggering the lens element with high dispersion coefficient and the lens element with low dispersion coefficient.
The above Aspheric formula is:

z=ch2/[1+[1−(k+1)c2h2]0.5]+A4h4+A6h6+A8h8+A10h10+A12h12+A14h14+A16h′6+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 using lens elements can be reduced and the aberration can be eliminated. Therefore, the total height of the optical image capturing system can be reduced effectively.
In addition, in the optical image capturing system provided of the disclosure, the lens element has a convex surface if the surface of the lens element is convex adjacent to the optical axis. The lens element has a concave surface if the surface of the lens element is concaving adjacent to the optical axis.
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 image 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 effect 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.
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.
According to the above embodiments, the specific embodiments with figures are presented in detailed as below.
The First Embodiment (Embodiment 1)
Please refer to FIG. 1A, FIG. 1B, and FIG. 1C, 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 TV distortion grid of the optical image capturing system 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 170, an image plane 180, and an image sensing device 190.
The first lens element 110 has positive refractive power and it is made of plastic material. The first lens element 110 has a convex object-side surface 112 and a concave image-side surface 114, and both of the object-side surface 112 and the image-side surface 114 are aspheric.
The second lens element 120 has negative refractive power and it is made of plastic material. The second lens element 120 has a convex object-side surface 122 and a concave image-side surface 124, and both of the object-side surface 122 and the image-side surface 124 are aspheric.
The third lens element 130 has positive refractive power and it is made of plastic material. The third lens element 130 has a convex 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 fourth lens element 140 has negative refractive power and it is made of plastic material. The fourth lens element 140 has a concave object-side surface 142 and a convex image-side surface 144, and both of the object-side surface 142 and the image-side surface 144 are aspheric.
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, both of the object-side surface 152 and the image-side surface 154 are aspheric, and the object-side surface 152 has inflection points.
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, both of the object-side surface 162 and the image-side surface 164 are aspheric, and the image-side surface 164 has inflection points.
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 170.
In the first embodiment of the optical image capturing system, 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 maximal view angle of the optical image capturing system is HAF. The detailed parameters are shown as below: f=5.2905 mm, f/HEP=1.4, HAF=36 degree and tan(HAF)=0.7265.
In the first embodiment of the optical image capturing system, 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 relation is satisfied: f1=7.984 mm, |f/f1|=0.6626, f6=−6.1818 mm, |f1|>f6, and |f1/f6|=1.2915.
In the first embodiment of the optical image capturing system, focal lengths of the second lens element 120, the third lens element 130, the fourth lens element 140, and the fifth lens element 150 are f2, f3, f4, and f5, respectively. The following relation is satisfied: |f2|+|f3|+|f4|+|f5|=27.9195 mm, |f1|+|f6|=14.1658 mm, and |f2|+|f3|+|f4|+|f5|+|f6|>|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 first embodiment of the optical image capturing system, a sum of the PPR of all lens elements with the positive refractive power is ΣPPR=f/f1+f/f3+f/f5=2.7814. A sum of the NPR of all lens elements with the negative refractive power is ΣNPR=f/f2+f/f4+f/f6=−2.0611, ΣPPR/|ΣNPR|=1.3494.
In the first embodiment of the optical image capturing system, 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 180 is HOS. A distance from an aperture stop 100 to the image plane 180 is InS. Half of a diagonal of an effective detection field of the image sensing device 190 is HOI. A distance from the image-side surface 164 of the sixth lens element to the image plane 180 is InB. The following relation is satisfied: InTL+InB=HOS, HOS=8.9645 mm, HOI=3.913 mm, HOS/HOI=2.2910, HOS/f=1.6945, InS=8.3101 mm, and InS/HOS=0.927.
In the first embodiment of the optical image capturing system, a total central thickness of all lens elements with refractive power on the optical axis is ΣTP. The following relation is satisfied: ΣTP=5.2801 mm and ΣTP/InTL=0.6445. 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 others optical components in the optical image capturing system.
In the first embodiment of the optical image capturing system, a curvature radius of the object-side surface 112 of the first lens element is R1 and a curvature radius of the image-side surface 114 of the first lens element is R2. The following relation is satisfied: |R1/R2|=0.598. Hereby, the first lens element may have proper strength of the positive refractive power, to avoid the longitudinal spherical aberration to increase too fast.
In the first embodiment of the optical image capturing system, a curvature radius of the object-side surface 162 of the sixth lens element is R11 and 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)=−0.7976. Hereby, the astigmatic generated by the optical image capturing system can be corrected beneficially.
In the first embodiment of the optical image capturing system, focal lengths of the first lens element 110, the third lens element 130, and the fifth lens element 150 are f1, f3, and f5, respectively. A sum of focal lengths of all lens elements with positive refractive power is ΣPP. The following relation is satisfied: ΣPP=f1+f3+f5=18.3455 mm and f1/(f1+f3+f5)=0.4352. Hereby, it's favorable for allocating the positive refractive power of the first lens element 110 to others convex lens elements, and the significant aberrations generated in the process of moving the incident light can be suppressed.
In the first embodiment of the optical image capturing system, focal lengths of the second lens element 120, the fourth lens element 140, and the sixth lens element 160 are f2, f4, and f6, respectively. A sum of focal lengths of all lens elements with negative refractive power is ΣNP. The following relation is satisfied: ΣNP=f2+f4+f6=−23.7398 mm and f6/(f2+f4+f6)=0.3724. Hereby, it's favorable for allocating the negative refractive power of the sixth lens element to others concave lens elements, and the significant aberrations generated in the process of moving the incident light can be suppressed.
In the first embodiment of the optical image capturing system, a distance between the first lens element 110 and the second lens element 120 on the optical axis is IN12. The following relation is satisfied: IN12=0.8266 mm and IN12/f=0.1562. Hereby, the chromatic aberration of the lens elements can be improved, such that the performance can be increased.
In the first embodiment of the optical image capturing system, 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 relation is satisfied: TP1=0.6065 mm, TP2=0.4574 mm, and (TP1+IN12)/TP2=3.1331. Hereby, the sensitivity produced by the optical image capturing system can be controlled, and the performance can be increased.
In the first embodiment of the optical image capturing system, 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 fifth lens element and the sixth lens element on the optical axis is IN56. The following relation is satisfied: TP5=1.0952 mm, TP6=0.4789 mm, and (TP6+IN56)/TP5=1.3378. 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 first embodiment of the optical image capturing system, central thicknesses of the third lens element 130, the fourth lens element 140, and the fifth lens element 150 on the optical axis are TP3, TP4, and TP5, respectively. 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 relation is satisfied: TP3=2.0138 mm, TP4=0.6283 mm, TP5=1.0952 mm, and (TP3+TP4+TP5)/ΣTP=0.5843. 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 first embodiment of the optical image capturing system, a distance in parallel with an optical axis from a maximum effective 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 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 on the optical axis is TP5. The following relation is satisfied: InRS51=0.3945 mm, InRS52=−0.5015 mm, and |InRS52|/TP5=0.4579. Hereby, it's favorable for manufacturing and forming the lens element and for maintaining the minimization for the optical image capturing system.
In the first embodiment of the optical image capturing system, a distance perpendicular to the optical axis between a critical point 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 on the image-side surface 154 of the fifth lens element and the optical axis is HVT52. The following relation is satisfied: HVT51=2.3446 mm and HVT52=1.2401 mm.
In the first embodiment of the optical image capturing system, a distance in parallel with an optical axis from an inflection point to an axial point on the object-side surface 152 of the fifth lens element is Inf51. A distance in parallel with an optical axis from an inflection point to an axial point on the image-side surface 154 of the fifth lens element is Inf52. The following relation is satisfied: Inf51=0.4427 mm, Inf52=0.0638 mm, HVT52/(Inf52+CT5)=1.070, and tan−1(HVT52/(Inf52+CT5))=46.9368 degree.
In the first embodiment of the optical image capturing system, a distance in parallel with an optical axis from a maximum effective 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 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 relation is satisfied: InRS61=−1.4393 mm, InRS62=−0.1489 mm, and |InRS62|/TP6=0.3109. Hereby, it's favorable for manufacturing and forming the lens element and for maintaining the minimization for the optical image capturing system.
In the first embodiment of the optical image capturing system, a distance perpendicular to the optical axis between a critical point 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 on the image-side surface 164 of the sixth lens element and the optical axis is HVT62. The following relation is satisfied: HVT61=0 mm, HVT62=3.1461 mm, and HVT61/HVT62=0. Hereby, the aberration of the off-axis view field can be corrected effectively.
In the first embodiment of the optical image capturing system, the following relation is satisfied: HVT62/HOI=0.8040. Hereby, the aberration of surrounding view field for the optical image capturing system can be corrected beneficially.
In the first embodiment of the optical image capturing system, the following relation is satisfied: HVT62/HOS=0.3510. Hereby, the aberration of surrounding view field for the optical image capturing system can be corrected beneficially.
In the first embodiment of the optical image capturing system, a distance in parallel with an optical axis from an inflection point to an axial point on the object-side surface 162 of the sixth lens element is denoted by Inf61. A distance in parallel with an optical axis from an inflection point to an axial point on the image-side surface 164 of the sixth lens element is denoted by Inf62. The following relation is satisfied: Inf61=0 mm, Inf62=0.1954 mm, HVT62/(Inf62+CT6)=4.6657, and tan−1(HVT62/(Inf62+CT6))=77.9028 degree.
In the first embodiment of the optical image capturing system, the following relation is satisfied: |InRS52|+|InRS61|=1.9408 mm. Thus, it's favorable for correcting the aberration of surrounding view field for the optical image capturing system by controlling a distance of a maximum effective diameter between adjacent surfaces of the fifth lens element 150 and the sixth lens element 160.
In the first embodiment of the optical image capturing system, the following relation is satisfied: Inf62/|InRS62|=1.3123. Hereby, a depth of the maximum effective diameter and positions of appearing inflection points on the image-side surface 164 of the sixth lens element 160 can be controlled, to correct the aberration of off-axis view field and maintain the minimization for the optical image capturing system effectively.
In the first embodiment of the optical image capturing system, the second lens element 120, the fourth lens element 140, 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 fourth lens element is NA4. An Abbe number of the sixth lens element is NA6. The following relation is satisfied: 1≦NA6/NA2. Hereby, the chromatic aberration for the optical image capturing system can be corrected beneficially.
In the first embodiment of the optical image capturing system, TV distortion for image formation in the optical image capturing system is TDT and optical distortion for image formation in the optical image capturing is ODT. The following relation is satisfied: |TDT|=0.96% and |ODT|=1.9485%.
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 = 5.2905 mm, f/HEP = 1.4, HAF = 32 deg, tan(HAF) = 0.7265













Surface

Thick-
Mate-
In-
Abbe 
Focal


#
Curvature Radius 
ness 
rial
dex
#
length

















0
Object
Plano
INFINITY






1
Lens 1
4.2552
0.6065
Plastic
1.565
54.5
 7.984


2

71.1925
0.0480






3
Ape. 
Plano
0.7787







stop








4
Lens 2
6.0791
0.4574
Plastic
1.65
21.4
−8.8412


5

2.8666
0.5561






6
Lens 3
10.2020
2.0138
Plastic
1.565
58
 4.1972


7

−2.8694
0.4940






8
Lens 4
−1.0612
0.6283
Plastic
1.565
54.5
−8.7168


9

−1.6418
0.0500






10
Lens 5
2.3012
1.0952
Plastic
1.565
58
 6.1643


11

5.6173
0.9863






12
Lens 6
−3.1756
0.4789
Plastic
1.583
30.2
−6.1818


13

−28.2003
0.3000






14
IR-
Plano
0.2000

1.517
64.2




bandst









op filter








15

Plano
0.2563






16
Image
Plano
0.0151







plane











Reference wavelength (d-line) = 587.5 nm






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 = 
 2.63542
−44.5776179
46.045547
−6.932651
−50
−3.076359


A4 = 
−1.92977E−03
 6.76819E−04
−1.48087E−02
−9.42908E−03
−2.91344E−03
−1.25824E−02


A6 = 
 1.05934E−04
 1.07039E−03
−2.20151E−03
 1.28503E−03
−7.60139E−04
 2.23748E−03


A8 = 
−6.25283E−05
−2.35638E−04
 9.92240E−04
−2.58821E−04
 1.40480E−04
 1.22574E−04


A10 = 
−1.16210E−06
 3.59820E−05
−2.06067E−04
 4.99180E−06
−5.56820E−05
−3.42043E−05


A12 = 








A14 = 










Aspheric Coefficients













Surface #
8
9
10
11
12
13





k = 
−2.756657
 −3.279453
−5.716761
23.853775
−0.227742
22.513642


A4 = 
−2.56929E−03
−6.96965E−03
−6.41195E−03
−2.01907E−02
−1.86873E−03
 9.91901E−03


A6 = 
 4.97268E−04
−1.21600E−04
−5.36474E−04
−4.74909E−04
 1.28019E−03
 1.32067E−03


A8 = 
 2.49337E−04
 1.61724E−05
−4.02556E−05
 3.45850E−04
−3.39587E−05
−6.75471E−04


A10 = 
−3.33577E−05
−3.93832E−06
 1.54534E−05
−3.21501E−05
 6.55577E−06
 8.73598E−05


A12 = 


−2.21906E−07
 2.37380E−06
−9.16956E−07
−4.93107E−06


A14 = 


−3.86881E−08
−1.04159E−07
 2.98564E−08
 1.02536E−07









Table 1 is the detailed structure data to the first embodiment in FIG. 1A, 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, k is the conic coefficient in the aspheric surface formula, and A1-A14 is the first through fourteen order aspheric surface coefficients, respectively. Besides, the tables in 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 need 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 TV distortion grid of the optical image capturing system 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 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 270, an image plane 280, and an image sensing device 290.
The first lens element 210 has negative 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 second lens element 220 has positive refractive power and it is made of plastic material. The second lens element 220 has a convex 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 third lens element 230 has negative refractive power and it is made of plastic material. The third lens element 230 has a concave 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.
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 convex image-side surface 244, and both of the object-side surface 242 and the image-side surface 244 are aspheric.
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.
The sixth lens element 260 has negative refractive power and it is made of plastic material. The sixth lens element 260 has a concave object-side surface 262 and a convex image-side surface 264, both of the object-side surface 262 and the image-side surface 264 are aspheric, and the image-side surface 264 has inflection points.
The IR-bandstop filter 270 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 280.
In the second embodiment of the optical image capturing system, focal lengths of the second lens element 220, the third lens element 230, the fourth lens element 240, and the fifth lens element 250 are f2, f3, f4, and f5, respectively. The following relation is satisfied: |f2|+|f3|+|f4|+|f5|=13.59733 mm, |f1|+|f6|=5.56188 mm, and |f2|+|f3|+|f4|+|f5|>|f1|+|f6|.
In the second embodiment of the optical image capturing system, a central thickness of the fifth lens element 250 on the optical axis is TP5. A central thickness of the sixth lens element 260 is TP6. The following relation is satisfied: TP5=0.388801 mm and TP6=0.347001 mm.
In the second embodiment of the optical image capturing system, the second lens element 220, the fourth lens element 240, and the fifth lens element 250 are convex lens elements, and focal lengths of the second lens element 220, the fourth lens element 240, and the fifth lens element 250 are f2, f4, and f5, respectively. A sum of focal lengths of all lens elements with positive refractive power is ΣPP. The following relation is satisfied: ΣPP=f2+f4+f5=10.59517 mm and f2/(f2+f4+f5)=0.343240363. Hereby, it's favorable for allocating the positive refractive power of the second lens element 220 to others convex lens elements and the significant aberrations generated in the process of moving the incident light can be suppressed.
In the second embodiment of the optical image capturing system, focal lengths of the first lens element 210, the third lens element 230, and the sixth lens element 260 are f1, f3, and f6, respectively. A sum of focal lengths of all lens elements with negative refractive power is ΣNP. The following relation is satisfied: ΣNP=f1+f3+f6=−8.56404 mm and f1/(f1+f3+f6)=0.287991415. Hereby, it's favorable for allocating the negative refractive power of the first lens element 210 to others concave lens elements.
In the second embodiment of the optical image capturing system, a distance perpendicular to the optical axis between a critical point on the object-side surface 252 of the fifth lens element and the optical axis is HVT51. A distance perpendicular to the optical axis between a critical point on the image-side surface 254 of the fifth lens element and the optical axis is HVT52. The following relation is satisfied: HVT51=0 mm and HVT52=0 mm.
A distance in parallel with an optical axis from an inflection point to an axial point on the object-side surface 252 of the fifth lens element is Inf51. A distance in parallel with an optical axis from an inflection point to an axial point on the image-side surface 254 of the fifth lens element is Inf52. The following relation is satisfied: Inf51=0 mm and Inf52=0 mm.
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 = 2.0473 mm; f/HEP = 4.924; HAF = 70 deg; tan(HAF) = 2.7475













Surface #
Curvature Radius
Thickness 
Material
Index 
Abbe #
Focal length

















0
Object
Plano
(INFINITY)






1
Lens 1
 1.97371
0.203162
Plastic 
1.565
58
−2.46637


2

 0.78784
0.712226






3
Lens 2
 4.82706
0.439626 
Plastic 
1.583 
30.2
 3.63669


4

−3.69268
0.03092






5
Ape. stop
Plano
0.009165






 


6
Lens 3
−4.49611
0.2
Plastic
1.65 
21.4
−3.00216


7

 3.56082
0.05073






8
Lens 4
 5.05777
0.472544
Plastic
1.565
58
 1.61037


9

−1.07606
0.390595






10
Lens 5
−11.2901
0.388801
Plastic
1.565
58
 5.34811


11

−2.41939
1.120529






12
Lens 6
−1.23331
0.347001
Plastic
1.65 
21.4
−3.09551


13

3.49542
0.5






14
IR-bandstop
Plano
0.2







filter








15

Plano
0.137148






16
Image 
Plano
0.005113







plane











Reference wavelength (d-line) = 555 nm






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







TABLE 4







Aspheric Coefficients













Surface #
1
2
3
4
6
7





k =
0.052093
−0.09595
−33.68038
−47.406542
0.613002
−23.295455


A4 =
−3.23322E−02
−4.70699E−02
−2.77955E−02
 9.36098E−02
−1.68501E−02
−8.88002E−02


A6 =
 3.64212E−03
−4.11885E−02
−2.89444E−02
−1.01712E+00
−1.18350E+00
−1.39473E−01


A8 =
 2.83909E−03
−2.79695E−02
−7.28625E−03
 2.77923E+00
−1.21480E+00
 8.16944E−01


A10 =
 2.49633E−04
−7.51679E−02
 5.94054E−03
−3.23386E+00
 2.20353E+01
−2.49638E+00


A12 =
 1.16284E−14
−1.99934E−15
−1.93617E−15
−1.87736E−15
−1.87837E−15
−1.88284E−15


A14 =
−2.53430E−16
−6.54908E−17
−6.46706E−17
−6.45787E−17
−6.45787E−17
−6.45713E−17










Aspheric Coefficients













Surface #
8
9
10
11
12
13





k =
−50
0.057123
−3.503023
−0.071073
0.011656
1.56709


A4 =
−4.85617E−02
−1.81340E−02
−3.64127E−03
 9.42338E−03
−6.93004E−02
−1.46364E−02


A6 =
 2.46135E−01
−6.03840E−03
−2.47003E−05
 1.86442E−03
 1.14337E−02
 5.09508E−04


A8 =
−9.68620E−02
−1.93344E−01
 1.64565E−03
−1.38891E−04
−4.55471E−03
 4.45135E−04


A10 =
−1.59469E−01 
 8.38336E−01
 2.37032E−03
−1.41133E−03
−2.39992E−03
 1.12229E−04


A12 =
−1.938214−15
 1.97997E−15
−5.33884E−16
 5.37638E−15
−2.64404E−14
 2.16158E−05


A14 =
−6.45932E−17
−6.45632E−17
−5.73632E−17
−5.99639E−17
−1.50088E−16
−1.87845E−06









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 need not be given here.
The following content may be deduced from Table 3 and Table 4.










Second embodiment


















|f/f1|
0.8301



f2/ΣPP
0.3432



f1/ΣNP
0.2880



IN12/f
0.3479



HOS/f
2.5436



ΣPPR
2.2171



|ΣNPR|
2.1734



ΣPPR/|ΣNPR|
1.0201



(R11 − R12)/(R11 + R12)
−0.4784



HOS
5.20756



HOS/HOI
1.4190



InS/HOS
0.7339



InTL/HOS
0.8383



ΣTP/InTL
0.4699



(TP1 + IN12)/TP2
2.0822



(TP6 + IN56)/TP5
3.7745



(TP2 + TP3 + TP4)/ΣTP
0.5174



InRS51
−0.0312534



InRS52
−0.180193



InRS61
−0.883803



InRS62
−0.609399



Inf61
0



HVT61
0



Inf62
0



HVT62
0



|InRS52|/TP5
0.4635



|InRS52| + |InRS61|
1.0640



|InRS62|/TP6
1.7562



Inf62/|InRS62|
0



HVT62/HOI
0



HVT62/HOS
0



HVT62/(Inf62 + CT6)
0



TDT
18.6255%



ODT
−34.8378%










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 TV distortion grid of the optical image capturing system 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 300first 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 370, an image plane 380, and an image sensing device 390.
The first lens element 310 has negative 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.
The second lens element 320 has positive 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.
The third lens element 330 has negative refractive power and it is made of plastic material. The third lens element 330 has a concave object-side surface 332 and a convex image-side surface 334, and both of the object-side surface 332 and the image-side surface 334 are aspheric.
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 convex image-side surface 344, and both of the object-side surface 342 and the image-side surface 344 are aspheric.
The fifth lens element 350 has positive refractive power and it is made of plastic material. The fifth lens element 350 has a convex 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.
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, both of the object-side surface 362 and the image-side surface 364 are aspheric and have inflection points.
The IR-bandstop filter 370 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 380.
In the third embodiment of the optical image capturing system, focal lengths of the second through fifths lens elements are f2, f3, f4, and f5, respectively. The following relation is satisfied: |f2|+|f3|+|f4|+|f5|=118.77051 mm, |f1|+|f6|=9.27761 mm, and |f2|+|f3|+|f4|+|f5|>|f1|+|f6|.
In the third embodiment of the optical image capturing system, a central thickness of the fifth lens element 350 on the optical axis is TP5. A central thickness of the sixth lens element 360 on the optical axis is TP6. The following relation is satisfied: TP5=0.961615 mm and TP6=0.555035 mm.
In the third embodiment of the optical image capturing system, the second lens element 320, the fourth lens element 340 and the fifth lens element 350 are convex lens elements, and focal lengths of the second lens element 320, the fourth lens element 340, and the fifth lens element 350 are f2, f4, and f5, respectively. A sum of focal lengths of all lens elements with positive refractive power is ΣPP. The following relation is satisfied: ΣPP=f2+f4+f5=18.77471 mm and f2/(f2+f4+f5)=0.54229333. Hereby, it's favorable for allocating the positive refractive power of the second lens element 320 to others convex lens elements and the significant aberrations generated in the process of moving the incident light can be suppressed.
In the third embodiment of the optical image capturing system, focal lengths of the first lens element 310, the third lens element 330, and the sixth lens element 360 are f1, f3, and f6, respectively. A sum of focal lengths of all lens elements with negative refractive power is ΣNP. The following relation is satisfied: ΣNP=f1+f3+f6=−109.27341 mm and f1/(f1+f3+f6)=0.039671591. Hereby, it's favorable for allocating the negative refractive power of the first lens element 310 to others concave lens elements.
In the third embodiment of the optical image capturing system, a distance perpendicular to the optical axis between a critical point on the object-side surface 352 of the fifth lens element and the optical axis is HVT51. A distance perpendicular to the optical axis between a critical point on the image-side surface 354 of the fifth lens element and the optical axis is HVT52. The following relation is satisfied: HVT51=0 mm and HVT52=0 mm.
A distance in parallel with an optical axis from an inflection point to an axial point on the object-side surface 352 of the fifth lens element is Inf51. A distance in parallel with an optical axis from an inflection point to an axial point on the image-side surface 354 of the fifth lens element is Inf52. The following relation is satisfied: Inf51=0 mm and Inf52=0 mm.
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 = 2.20933 mm; f/HEP = 1.8; HAF = 69.9983 deg; tan(HAF) = 2.7472













Surface#
Curvature Radius 
Thickness
Material
Index
Abbe #
Focal length

















0
Object
Plano
(INFINITY)






1
Lens 1
 3.43848
0.428205
Plastic
1.565
58
−4.33505


2

 1.36847
1.417198






3
Lens 2
 4.34141
0.522458
Plastic
1.65
21.4
10.1814


4

11.8319
0.178742






5
Ape. stop
Plano
0.058179






6
Lens 3
−7.68159
0.363224
Plastic 
1.514
56.8
−99.9958


7

−9.17148
0.085968






8
Lens 4
13.66226
0.587996
Plastic 
1.565
58
3.8962


9

−2.59303
0.526699






10
Lens 5
 4.26774
0.961615
Plastic 
1.565
58
4.69711


11

−6.49985
1.092996






12
Lens 6
 8.91072
0.555035
Plastic
1.65 
21.4
−4.94256


13

 2.31723
0.3






14
IR-bandstop
Piano
0.2

1.517 
64.2




filter








15
Plano
 0.216188







16
Image 
Plano
0.005498







plane





Reference wavelength (d-line) = 555 nm






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







TABLE 6







Aspheric Coefficients













Surface #
1
2
3
4
6
7





k =
−1.389866
−0.295701
−17.76754
42.891286
 8.450049
−34.008722


A4 =
−7.38184E−04
−9.67743E−03
 2.06455E−02
 4.17738E−02
 3.25676E−02
−3.00300E−02


A6 =
−2.57380E−04
 6.57454E−03
−1.95508E−03
 1.97626E−02
 5.50207E−03
−1.44847E−02


A8 =
−1.86424E−05
−1.27666E−02
−2.42133E−03
−5.64520E−03
−3.04883E−02
−2.81074E−02


A10 =
 2.04820E−05
 7.12664E−03
 7.85331E−04
 3.32472E−02
 1.97322E−02
 2.48266E−03


A12 =
−2.46237E−06
−1.81214E−03
−2.28597E−10
−2.28602E−10
−2.28666E−10
−2.28520E−10


A14 =
 1.38373E−07
−5.00597E−12
−5.03068E−12
−4.99389E−12
−5.11348E−12
−5.13637E−12










Aspheric Coefficients













Surface #
8
9
10
11
12
13





k =
21.636649
 2.79721
−0.964455
 3.415639
−4.228798
−16.951252


A4 =
−6.37733E−02
−3.46231E−02
−1.67391E−02
 1.11381E−02
−1.57659E−01
−1.10767E−02


A6 =
−1.25595E−02
−8.20788E−03
−2.02121E−04
−6.48755E−03
 3.21548E−03
−9.34240E−03


A8 =
−1.63277E−02
 8.80372E−03
 1.61128E−03
 1.51875E−03
 1.71607E−03
 1.67325E−03


A10 =
−1.24984E−02
−9.69148E−03
−1.64337E−04
−1.12939E−04
 1.50392E−04
−7.17065E−05


A12 =
−2.28518E−10
−2.28598E−10
−2.31140E−10
−2.26197E−10
−2.28805E−10
−6.16654E−09


A14 =
−5.01090E−12
−4.95542E−12
−4.73801E−12
−4.98492E−12
−4.79917E−12
−9.96221E−10









In the third 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 need not be given here.
The following content may be deduced from Table 5 and Table 6.










Third embodiment


















|f/f1|
0.5096



f2/ΣPP
0.5423



f1/ΣNP
0.0397



IN12/f
0.6415



HOS/f
3.3947



ΣPPR
1.2544



|ΣNPR|
0.9787



ΣPPR/|ΣNPR|
1.2817



(R11 − R12)/(R11 + R12)
0.5872



HOS
5.20756



HOS/HOI
2.0436



InS/HOS
0.6605



InTL/HOS
0.9038



ΣTP/InTL
0.5043



(TP1 + IN12)/TP2
3.5322



(TP6 + IN56)/TP5
1.7138



(TP2 + TP3 + TP4)/ΣTP
0.5595



InRS51
0.354543



InRS52
−0.280217



InRS61
−1.30369



InRS62
−0.413072



Inf61
0.0050



HVT61
0.4224



Inf62
0.147103



HVT62
1.2993



|InRS52|/TP5
0.2914



|InRS52| + |InRS61|
1.583907



|InRS62|/TP6
0.7442



Inf62/|InRS62|
0.3561



HVT62/HOI
0.3540



HVT62/HOS
0.17324



HVT62/(Inf62 + CT6)
1.8505



TDT
30.3652%



ODT
−39.5934%










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 TV distortion grid of the optical image capturing system 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 400first 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 470, an image plane 480, and an image sensing device 490.
The first lens element 410 has negative 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.
The second lens element 420 has positive 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.
The third lens element 430 has positive refractive power and it is made of plastic material. The third lens element 430 has a convex object-side surface 432 and a convex image-side surface 434, and both of the object-side surface 432 and the image-side surface 434 are aspheric.
The fourth lens element 440 has negative refractive power and it is made of plastic material. The fourth lens element 440 has a concave 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.
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.
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, both of the object-side surface 462 and the image-side surface 464 are aspheric and have inflection points.
The IR-bandstop filter 470 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 460 and the image plane 480.
In the fourth embodiment of the optical image capturing system, focal lengths of the second through fifth lens elements are f2, f3, f4, and f5, respectively. The following relation is satisfied: |f2|+|f3|+|f4|+|f5|=49.05722 mm and |f1|−|f6|=104.12902 mm.
In the fourth embodiment of the optical image capturing system, a central thickness of the fifth lens element 450 on the optical axis is TP5. A central thickness of the sixth lens element 460 is TP6. The following relation is satisfied: TP5=1.34896 mm and TP6=0.775098 mm.
In the fourth embodiment of the optical image capturing system, the second lens element 420, the third lens element 430, and the fifth lens element 450 are convex lens elements, and focal lengths of the second lens element 320, the fourth lens element 340, and the fifth lens element 350 are f2, f3, and f5, respectively. A sum of focal lengths of all lens elements with positive refractive power is ΣPP. The following relation is satisfied: ΣPP=f2+f3+f5=38.99902 mm and f2/(f2+f3+f5)=0.592278985. Hereby, it's favorable for allocating the positive refractive power of the second lens element 420 to others convex lens elements and the significant aberrations generated in the process of moving the incident light can be suppressed.
In the fourth embodiment of the optical image capturing system, focal lengths of the first lens element 410, the fourth lens element 440, and the sixth lens element 460 are f1, f4, and f6, respectively. A sum of focal lengths of all lens elements with negative refractive power is ΣNP. The following relation is satisfied: ΣNP=f1+f4+f6=−114.18722 mm and f1/(f1+f4+f6)=0.036282694. Hereby, it's favorable for allocating the negative refractive power of the first lens element 410 to others concave lens elements.
In the fourth embodiment of the optical image capturing system, a distance perpendicular to the optical axis between a critical point on the object-side surface 452 of the fifth lens element and the optical axis is HVT51. A distance perpendicular to the optical axis between a critical point on the image-side surface 454 of the fifth lens element and the optical axis is HVT52. The following relation is satisfied: HVT51=1.25913 mm and HVT52=0 mm.
A distance in parallel with an optical axis from an inflection point to an axial point on the object-side surface 452 of the fifth lens element is Inf51. A distance in parallel with an optical axis from an inflection point to an axial point on the image-side surface 454 of the fifth lens element is Inf52. The following relation is satisfied: Inf51=−0.03639 mm and Inf52=0 mm.
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 = 1.90962 mm; f/HEP = 1.8; HAF = 69.9995 deg; tan(HAF) = 1.1918













Surface#
Curvature Radius
Thickness
Material
Index 
Abbe #
Focal length

















0
Object
Plano
(INFINITY)






1
Lens 1 
11.80354
 0.900431
Plastic
1.565
58
 −4.14302


2

 1.9045
 3.614206






3
Lens 2
 4.02666
 0.98387
Plastic
1.65
21.4
 23.0983


4

 4.95498
 0.607146






5
Ape. stop
Plano
 0.013759






6
Lens 3
 5.48435
 2.099089
Plastic 
1.565
58
  2.80652


7

−1.9303
 0.049996






8
Lens 4
−9.65896
 0.275138
Plastic
1.65
21.4
−10.0582


9

21.00028
 0.409845






10
Lens 5
−10.72
 1.348959
Plastic 
1.565
58
 13.0942


11

−4.58508
 1.62446






12
Lens 6
 3.12747
 0.775098
Plastic
1.65
21.4
−99.986


13

 2.69211
 0.4






14
IR-band stop
Plano
 0.2

1.517
64.2




filter








15

Plano
 0.072182






16
Image









plane
Plano
−0.01875









Reference wavelength (d-line) = 555 nm






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







TABLE 8







Aspheric Coefficients













Surface #
1
2
3
4
6
7





k =
−13.923953
−0.545733
2.606556
12.746893
−11.152648
0.100549


A4 =
 3.00321E−03
−8.83606E−04
 1.36873E−02
 3.60605E−02
 2.60080E−02
 5.38730E−03


A6 =
−1.95765E−04
 1.30352E−03
 1.42238E−03
 7.04286E−03
 1.22129E−03
 5.19589E−04


A8 =
 4.40544E−06
−1.36090E−04
 4.13337E−04
 4.12159E−03
−3.46058E−03
−1.16996E−03


A10 =
 4.09593E−08
−1.36686E−06
 5.66462E−06
−7.69316E−05
−1.17136E−04
 5.78884E−04


A12 =
−3.48139E−09
 3.45826E−10
 1.09523E−10
−6.90636E−09
−7.00247E−09
−5.70993E−09


A14 =
 4.39884E−11
−7.56369E−12
−7.03417E−12
−8.21680E−12
−8.21584E−12
−8.11520E−12










Aspheric Coefficients













Surface #
8
9
10
11
12
13





k =
11.670428 
49.334295 
16.302725
1.628696 
−6.403305
−3.578007


A4 =
−4.70155E−02
−1.69719E−02
 1.65338E−02
−9.63779E−03
−3.57786E−02
−4.10993E−02


A6 =
−4.69167E−03
 1.84997E−03
 7.43704E−04
 1.64466E−03
−1.61391E−02
 6.68948E−03


A8 =
−5.34117E−04
 2.04619E−04
−3.77034E−04
−3.24002E−04
 3.06980E−03
−8.55436E−04


A10 =
−8.11247E−04
−7.70103E−05
 4.54899E−05
 2.54056E−05
−1.34801E−04
 5.24931E−05


A12 =
−7.87837E−09
 1.70088E−09
−2.26373E−08
 6.56173E−06
−2.81332E−09
−1.11267E−06


A14 =
−8.35936E−12
−6.86315E−12
 2.55333E−11
−2.37713E−11
−1.57334E−11
−9.52615E−12









In the fourth 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 need not be given here.
The following content may be deduced from Table 7 and Table 8.










Fourth embodiment


















|f/f1|
0.4609



f2/ΣPP
0.5923



f1/ΣNP
0.0363



IN12/f
1.8926



HOS/f
6.9937



ΣPPR
0.9089



|ΣNPR|
0.6699



ΣPPR/|ΣNPR|
1.3569



(R11 − R12)/(R11 + R12)
0.0748



HOS
13.3554



HOS/HOI
3.6391



InS/HOS
0.5428



InTL/HOS
0.9511



ΣTP/InTL
0.5025



(TP1 + IN12)/TP2
4.5887



(TP6 + IN56)/TP5
1.7788



(TP2 + TP3 + TP4)/ΣTP
0.5833



InRS51
0.0701725



InRS52
−0.754332



InRS61
−1.2961



InRS62
−0.779774



Inf61
0.0946426



HVT61
1.06116



Inf62
0.21164



HVT62
1.6625



|InRS52|/TP5
0.5592



|InRS52| + |InRS61|
2.050432



|InRS62|/TP6
1.0060



Inf62/|InRS62|
0.2714



HVT62/HOI
0.4530



HVT62/HOS
0.1245



HVT62/(Inf62 + CT6)
1.6848



TDT
45.2242%



ODT
−29.9319%










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 fourth 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 fourth embodiment of the present application, and FIG. 5C is a TV distortion grid of the optical image capturing system 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 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 570, an image plane 580, and an image sensing device 590.
The first lens element 510 has negative refractive power and it is made of plastic material. The first lens element 510 has a convex object-side surface 512 and a concave image-side surface 514, and both of the object-side surface 512 and the image-side surface 514 are aspheric.
The second lens element 520 has positive 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.
The third lens element 530 has positive refractive power and it is made of plastic material. The third lens element 530 has a convex object-side surface 532 and a convex image-side surface 534, and both of the object-side surface 532 and the image-side surface 534 are aspheric.
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 fifth lens element 550 has negative refractive power and it is made of plastic material. The fifth lens element 550 has a concave object-side surface 552 and a concave image-side surface 554, and both of the object-side surface 552 and the image-side surface 554 are aspheric.
The sixth lens element 560 has positive refractive power and it is made of plastic material. The sixth lens element 560 has a convex object-side surface 562 and a convex image-side surface 564, both of the object-side surface 562 and the image-side surface 564 are aspheric and have inflection points.
The IR-bandstop filter 570 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 580.
In the fifth embodiment of the optical image capturing system, focal lengths of the second through fifth lens elements are f2, f3, f4, and f5, respectively. The following relation is satisfied: |f2|+|f3|+|f4|+|f5|=27.12897 mm, |f1|+|f6|=6.23646 mm, and |f2|+|f3|+|f4|+|f5|>|f1|±|f6|.
In the fifth embodiment of the optical image capturing system, a central thickness of the fifth lens element 550 on the optical axis is TP5. A central thickness of the sixth lens element 560 is TP6. The following relation is satisfied: TP5=0.2 mm and TP6=2.1791 mm.
In the fifth embodiment of the optical image capturing system, focal lengths of the second lens element 520, the third lens element 530 the fourth lens element 540, and the sixth lens element 560 are f2, f3, f4, and f6, respectively. A sum of focal lengths of all lens elements with positive refractive power is ΣPP. The following relation is satisfied: ΣNP=f2+f3+f4+f6=27.14397 mm and f2/(f2+f3+f4+f6)=0.587861687. Hereby, it's favorable for allocating the positive refractive power of the second lens element 520 to others convex lens elements and the significant aberrations generated in the process of moving the incident light can be suppressed.
In the fifth embodiment of the optical image capturing system, the first lens element 510 and the fifth lens element 550 are concave lens elements, and their focal lengths are f1 and f5, respectively. A sum of focal lengths of all lens elements with negative refractive power is ΣNP. The following relation is satisfied: ΣNP=f1+f5=−6.22146 mm and f1/(f1+f5)=0.410310442. Hereby, it's favorable for allocating the negative refractive power of the first lens element 510 to others concave lens elements.
In the fifth embodiment of the optical image capturing system, a distance perpendicular to the optical axis between a critical point on the object-side surface 552 of the fifth lens element and the optical axis is HVT51. A distance perpendicular to the optical axis between a critical point on the image-side surface 554 of the fifth lens element and the optical axis is HVT52. The following relation is satisfied: HVT51=0 mm and HVT52=0.860214 mm.
A distance in parallel with an optical axis from an inflection point to an axial point on the object-side surface 552 of the fifth lens element is Inf51. A distance in parallel with an optical axis from an inflection point to an axial point on the image-side surface 554 of the fifth lens element is Inf52. The following relation is satisfied: Inf51=0 mm and Inf52=0.013706 mm.
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 = 1.49716 mm; f/HEP = 1.8; HAF = 70.0022 deg; tan(HAF) = 2.7478













Surface #
Curvature Radius
Thickness
Material
Index
Abbe #
Focal length

















0
Object
Plano
(INFINITY)






1
Lens 1
 4.21922
 0.991456
Plastic
1.54
59.7
−2.55273


2

 0.95543
 2.732271






3
Lens 2
 3.23928
 2.179992
Plastic
1.633
23.4 
15.9569


4

 3.50614
 0.319077






5
Ape. stop
Plano
−0.15682






6
Lens 3
 3.42402
 1.093467
Plastic
1.54
59.7
 3.2915


7

−3.30227
 0.070932



 


8
Lens 4
 6.54595
 0.833608
Plastic
1.55
56.5 
 4.21184


9

−3.44009
 0.23632






10
Lens 5
−3.04446
 0.2
Plastic
1.65
21.4
−3.66873


11

11.73985
 0.162925






12
Lens 6
 3.68452
 2.179099
Plastic
1.565
58
 3.68373


13

−3.78725
 0.5






14
IR-bandst
Plano
 0.2

1.517
64.2




op filter








15

Plano
 0.463183






16
Image
Plano
 0.006468







plane





Reference wavelength (d-line) = 555 nm






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







TABLE 10







Aspheric Coefficients













Surface #
1
2
3
4
6
7





k =
−6.103779
−0.852106 
−7.160232
−2.795677
6.142008
1.098548


A4 =
−4.43021E−04
−1.70104E−02
 2.25125E−02
 7.57331E−02
 3.87899E−02
−4.09103E−03


A6 =
 3.91576E−05
 1.01012E−03
−5.47536E−03
 1.50783E−03
−1.20056E−02
 9.57725E−03


A8 =
 4.14477E−07
−5.85294E−04
 1.03515E−03
−2.80812E−03
−9.91243E−04
 2.41386E−03


A10 =
−7.09596E−08
 1.21414E−04
−2.14245E−04
−2.25697E−03
−4.61103E−03
 2.05835E−03


A12 =
 1.55977E−09
 6.86472E−07
 8.86157E−08
−6.48230E−07
 2.72411E−07
−3.94500E−10


A14 =
−3.99158E−12
 2.90386E−08
 1.78805E−10
−6.10718E−12
−5.85547E−12
−4.98841E−12










Aspheric Coefficients













Surface #
8
9
10
11
12
13





k =
−7.952001 
−30.879394
−17.721214
34.463941
−28.003641
−14.018085


A4 =
−7.09448E−03
−7.41044E−02
−2.29038E−02
−4.47330E−02
−4.71913E−02
 1.76657E−02


A6 =
 2.05714E−03
−9.41720E−03
−6.30316E−02
 1.51301E−02
 1.56330E−02
−5.99345E−03


A8 =
 2.51533E−03
−2.82675E−03
 2.01491E−02
−3.71802E−03
−7.51377E−03
 6.88652E−04


A10 =
−1.13190E−03
 4.10373E−03
−2.92559E−03
 2.67939E−05
 2.53934E−03
−3.69661E−05


A12 =
−3.95958E−10
−3.94651E−10
−3.96674E−10
 4.93250E−07
−5.25050E−04
−5.20805E−07


A14 =
−5.64887E−12
−5.81180E−12
−6.88038E−12
−5.05495E−12
−4.53305E−12
−4.32540E−08









In the fifth 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 need not be given here.
The following content may be deduced from Table 9 and Table 10.










Fifth embodiment


















|f/f1|
0.5844



f2/ΣPP
0.5879



f1/ΣNP
0.4103



IN12/f
1.8316



HOS/f
8.0522



ΣPPR
1.3058



|ΣNPR|
0.9910



ΣPPR/|ΣNPR|
1.3177



(R11 − R12)/(R11 + R12)
−72.7321



HOS
12.012



HOS/HOI
3.2730



InS/HOS
0.4820



InTL/HOS
0.9026



ΣTP/InTL
0.6897



(TP1 + IN12)/TP2
1.7081



(TP6 + IN56)/TP5
11.7101



(TP2 + TP3 + TP4)/ΣTP
0.2845



InRS51
−0.488204



InRS52
−0.0929912



InRS61
−0.168705



InRS62
−1.07677



Inf61
0.0630808



HVT61
1.06337



Inf62
0



HVT62
0



|InRS52|/TP5
0.4650



|InRS52| + |InRS61|
0.2616962



|InRS62|/TP6
0.4941



Inf62/|InRS62|
0



HVT62/HOI
0



HVT62/HOS
0



HVT62/(Inf62 + CT6)
0



TDT
34.2468%



ODT
23.7039%










Although the present invention has been disclosed in the preceding descriptions, it is not used to limit the present invention. Any person skilled in the art is able to modify and retouch it without departing from the scope and spirit of the invention. Therefore, the protected scope of the present invention is defined on the basis of the following claims.
While the means of specific embodiments in present invention has been described by reference drawings, numerous modifications and variations could be made thereto by those skilled in the art without departing from the scope and spirit of the invention set forth in the claims. The modifications and variations should in a range limited by the specification of the present invention.

## Claims

1. An optical image capturing system, from an object side to an image side, comprising:
a first lens element with negative refractive power having a convex object-side surface adjacent to an optical axis;
a second lens element with positive 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 negative refractive power and at least one of the image-side and the object-side surfaces of the sixth lens element having at least one inflection point; and
an image plane;
wherein the optical image capturing system comprises the six lens elements with refractive power, the object-side and the image-side surfaces of the first lens element are aspheric, the object-side and the image-side surfaces of the sixth lens element are aspheric, 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, half of a maximal view angle of the optical image capturing system is HAF, a distance from the object-side surface of the first lens element to the image plane is HOS, optical distortion and TV distortion for image formation in the optical image capturing system are ODT and TDT, respectively, and the following relation is satisfied: 1.2≦f/HEP≦6, 0.4≦| tan(HAF)|≦3, 0.5≦HOS/f≦10, |TDT|<60%, and |ODT|≦50%, and
wherein a distance along a direction in parallel with an optical axis from a maximum effective diameter position to an axial point on the image-side surface of the fifth lens element is InRS52, a central thickness of the fifth lens element on the optical axis is TP5, and the following relation is satisfied: 0<|InRS52|/TP5≦3.

2. The optical image capturing system of claim 1, wherein a ratio f/fp 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 f/fn 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 power is ΣNPR, and the following relation is satisfied: 0.5≦ΣPPR/|ΣNPR|≦2.5.

3. The optical image capturing system of claim 1, wherein a distance in parallel with an optical axis from a maximum effective diameter position to an axial point on the image-side surface of the sixth lens element is InRS62, a central thickness of the sixth lens element on the optical axis is TP6, a distance in parallel with the optical axis from a maximum effective diameter position to an axial point on the image-side surface of the fifth lens element is InRS52, a central thickness of the fifth lens element on the optical axis is TP5, the image-side surface of the sixth lens element comprises at least one critical point C which is tangent to a plane perpendicular to an optical axis, a distance perpendicular to the optical axis between the critical point C and the optical axis is HVT62, and the following relation is satisfied: 0<|InRS62|/TP6≦3, 0<|InRS52|/TP5≦5, and 0<HVT62/HOS≦1.

4. The optical image capturing system of claim 1, further comprising an aperture stop, an image plane, and an image sensing device disposed on the image plane, wherein a distance from the aperture stop to the image plane on the optical axis is InS, and the following relation is satisfied: 0.3≦InS/HOS≦1.1.

5. The optical image capturing system of claim 4, wherein length and width of the image sensing device are L and B, respectively, length of diagonal of the image sensing device is Dg, and the following relation is satisfied: Dg≦1/1.2 inch and L/B=16/9.

6. The optical image capturing system of claim 4, wherein at least 8 million pixels are arranged on the image sensing device, size of the pixels is PS, and the following relation is satisfied: PS≦(1.4 μm)2.