Patent Document

CROSS-REFERENCE TO RELATED APPLICATION 
       [0001]    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 
       [0002]    1. Field of the Invention 
         [0003]    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. 
         [0004]    2. Description of the Related Art 
         [0005]    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. 
         [0006]    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. 
         [0007]    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&#39;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 
       [0008]    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. 
         [0009]    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 
       [0010]    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 In 12  (instance). A central thickness of the first lens element of the optical image capturing system on the optical axis is denoted by TP 1  (instance). 
       The Lens Element Parameter Related to a Material in the Lens Element 
       [0011]    An Abbe number of the first lens element in the optical image capturing system is denoted by NA 1  (instance). A refractive index of the first lens element is denoted by Nd 1  (instance). 
       The Lens Element Parameter Related to a View Angle in the Lens Element 
       [0012]    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 
       [0013]    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 
       [0014]    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 InRS 61  (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 InRS 62  (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 Inf 61  (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 Inf 62  (instance). 
       The Lens Element Parameter Related to the Lens Element Shape 
       [0015]    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 HVT 51 . 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 HVT 52 . 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 HVT 61 . 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 HVT 62 . 
       The Lens Element Parameter Related to an Aberration 
       [0016]    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. 
         [0017]    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. 
         [0018]    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 f 1 , f 2 ,  13 , f 4 , f 5 , and f 6 , 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. 
         [0019]    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 f 1 , f 2 ,  13 , f 4 , f 5 , and f 6 , 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|&lt;60%, and |ODT|≦50%. 
         [0020]    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 f 1 , f 2 , f 3 , f 4 , f 5 , and f 6 , 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&lt;|tan(HAF)|≦3, 0.5≦HOS/f≦10, |TDT|≦60%, and |ODT|≦50%. 
         [0021]    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. 
         [0022]    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. 
         [0023]    The height of optical system (HOS) can be reduced to achieve the minimization of the optical image capturing system when an absolute value of f 1  is larger than f 6  (|f 1 |&gt;f 6 ). 
         [0024]    When |f/f 1 | 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 |f 2 |, |f 3 |, |f 4 |, and |f 5 | is larger than a sum of |f 1 | and |f 6 |, 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. 
         [0025]    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 
         [0026]    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. 
           [0027]      FIG. 1A  is a schematic view of the optical image capturing system according to the first embodiment of the present application. 
           [0028]      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. 
           [0029]      FIG. 1C  is a TV distortion grid of the optical image capturing system according to the first embodiment of the present application. 
           [0030]      FIG. 2A  is a schematic view of the optical image capturing system according to the second embodiment of the present application. 
           [0031]      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. 
           [0032]      FIG. 2C  is a TV distortion grid of the optical image capturing system according to the second embodiment of the present application. 
           [0033]      FIG. 3A  is a schematic view of the optical image capturing system according to the third embodiment of the present application. 
           [0034]      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. 
           [0035]      FIG. 3C  is a TV distortion grid of the optical image capturing system according to the third embodiment of the present application. 
           [0036]      FIG. 4A  is a schematic view of the optical image capturing system according to the fourth embodiment of the present application. 
           [0037]      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. 
           [0038]      FIG. 4C  is a TV distortion grid of the optical image capturing system according to the fourth embodiment of the present application. 
           [0039]      FIG. 5A  is a schematic view of the optical image capturing system according to the fifth embodiment of the present application. 
           [0040]      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. 
           [0041]      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 
       [0042]    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. 
         [0043]    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. 
         [0044]    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. 
         [0045]    Height of the optical image capturing system is HOS. When the ratio of HOS/f is closed to 1, it&#39;s favorable for manufacturing a minimized optical image capturing system for image formation with ultra-high pixels. 
         [0046]    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. 
         [0047]    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. 
         [0048]    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. 
         [0049]    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. 
         [0050]    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. 
         [0051]    A curvature radius of the object-side surface of the first lens element is R 1 . A curvature radius of the image-side surface of the first lens element is R 2 . The following relation is satisfied: 0.01≦|R 1 /R 2 |≦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≦|R 1 /R 2 |≦7. 
         [0052]    A curvature radius of the object-side surface of the sixth lens element is R 11 . A curvature radius of the image-side surface of the sixth lens element is R 12 . The following relation is satisfied: −80&lt;(R 11 −R 12 )/(R 11 +R 12 )&lt;30. Hereby, the astigmatic generated by the optical image capturing system can be corrected beneficially. 
         [0053]    A distance between the first lens element and the second lens element on the optical axis is IN 12 . The following relation is satisfied: 0&lt;IN 12 /f≦2. Preferably, the following relation may be satisfied: 0.01≦IN 12 /f≦1.9. Hereby, the chromatic aberration of the lens elements can be improved, such that the performance can be increased. 
         [0054]    Central thicknesses of the first lens element and the second lens element on the optical axis are TP 1  and TP 2 , respectively. The following relation is satisfied: 1≦(TP 1 +IN 12 )/TP 2 ≦10. Hereby, the sensitivity produced by the optical image capturing system can be controlled, and the performance can be increased. 
         [0055]    Central thicknesses of the fifth lens element and the sixth lens element on the optical axis are TP 5  and TP 6 , respectively, and a distance between the fifth lens element and the sixth lens element on the optical axis is IN 56 . The following relation is satisfied: 0.2≦(TP 6 +IN 56 )/TP 5 ≦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. 
         [0056]    Central thicknesses of the third lens element, the fourth lens element, and the fifth lens element on the optical axis are TP 3 , TP 4 , and TP 5 , respectively. A distance between the third lens element and the fourth lens element on the optical axis is IN 34 . A distance between the fourth lens element and the fifth lens element on the optical axis is IN 45 . 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≦(TP 3 +TP 4 +TP 5 )/ΣTP≦0.8. Preferably, the following relation may be satisfied: 0.4≦(TP 3 +TP 4 +TP 5 )/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. 
         [0057]    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 InRS 51  (the InRS 51  is positive if the horizontal displacement is toward the image-side surface, or the InRS 51  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 InRS 52 . A central thickness of the fifth lens element on the optical axis is TP 5 . The following relation is satisfied: 0&lt;|InRS 52 |/TP 5 ≦5. Hereby, it&#39;s favorable for manufacturing and forming the lens element and for maintaining the minimization for the optical image capturing system. 
         [0058]    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 HVT 51 . 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 HVT 52 . The following relation is satisfied: 0≦HVT 51 /HVT 52 . Hereby, the aberration of the off-axis view field can be corrected effectively. 
         [0059]    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 InRS 61 . 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 InRS 62 . A central thickness of the sixth lens element is TP 6 . The following relation is satisfied: 0&lt;|InRS 62 |/TP 6 &lt;3. Hereby, it&#39;s favorable for manufacturing and forming the lens element and for maintaining the minimization for the optical image capturing system. 
         [0060]    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 HVT 61 . 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 HVT 62 . The following relation is satisfied: 0&lt;HVT 61 /HVT 62 . Hereby, the aberration of the off-axis view field can be corrected effectively. 
         [0061]    The following relation is satisfied for the optical image capturing system of the disclosure: 0.2≦HVT 62 /HOI≦0.9. Preferably, the following relation may be satisfied: 0.3≦HVT 62 /HOI≦0.8. Hereby, the aberration of surrounding view field for the optical image capturing system can be corrected beneficially. 
         [0062]    The following relation is satisfied for the optical image capturing system of the disclosure: 0≦HVT 62 /HOS≦0.5. Preferably, the following relation may be satisfied: 0.2≦HVT 62 /HOS≦0.45. Hereby, the aberration of surrounding view field for the optical image capturing system can be corrected beneficially. 
         [0063]    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 Inf 61 . 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 Inf 62 . The following relation is satisfied: 0&lt;Inf 62 /(Inf 62 +CT 6 )≦5. Preferably, the following relation may be satisfied: 0.1≦Inf 62 /(Inf 62 +CT 6 )≦1. 
         [0064]    The following relation is satisfied for the optical image capturing system of the disclosure: 1 mm≦|InRS 52 |+|InRS 61 |≦5 mm. Preferably, the following relation may be satisfied: 1.5 mm≦|InRS 52 |+|InRS 61 |≦3.5 mm. Thus, it&#39;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. 
         [0065]    The following relation is satisfied for the optical image capturing system of the disclosure: 0≦Inf 62 /|InRS 62 |≦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. 
         [0066]    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. 
         [0067]    The above Aspheric formula is: 
         [0000]        z=ch   2 /[1+[1−( k+ 1) c   2   h   2 ] 0.5   ]+A 4 h   4   +A 6 h   6   +A 8 h   8   +A 10 h   10   +A 12 h   12   +A 14 h   14   +A 16 h′   6   +A 18 h   18   +A 20 h   20 + . . .   (1),
 
         [0000]    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. 
         [0068]    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. 
         [0069]    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. 
         [0070]    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. 
         [0071]    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. 
         [0072]    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. 
         [0073]    According to the above embodiments, the specific embodiments with figures are presented in detailed as below. 
       The First Embodiment 
     Embodiment 1 
       [0074]    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 . 
         [0075]    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. 
         [0076]    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. 
         [0077]    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. 
         [0078]    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. 
         [0079]    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. 
         [0080]    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. 
         [0081]    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 . 
         [0082]    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. 
         [0083]    In the first embodiment of the optical image capturing system, a focal length of the first lens element  110  is f 1  and a focal length of the sixth lens element  160  is f 6 . The following relation is satisfied: f 1 =7.984 mm, |f/f 1 |=0.6626, f 6 =−6.1818 mm, |f 1 |&gt;f 6 , and |f 1 /f 6 |=1.2915. 
         [0084]    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 f 2 , f 3 , f 4 , and f 5 , respectively. The following relation is satisfied: |f 2 |+|f 3 |+|f 4 |+|f 5 |=27.9195 mm, |f 1 |+|f 6 |=14.1658 mm, and |f 2 |+|f 3 |+|f 4 |+|f 5 |+|f 6 |&gt;|f 1 |+|f 6 |. 
         [0085]    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/f 1 +f/f 3 +f/f 5 =2.7814. A sum of the NPR of all lens elements with the negative refractive power is ΣNPR=f/f 2 +f/f 4 +f/f 6 =−2.0611, ΣPPR/|ΣNPR|=1.3494. 
         [0086]    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. 
         [0087]    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. 
         [0088]    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 R 1  and a curvature radius of the image-side surface  114  of the first lens element is R 2 . The following relation is satisfied: |R 1 /R 2 |=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. 
         [0089]    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 R 11  and a curvature radius of the image-side surface  164  of the sixth lens element is R 12 . The following relation is satisfied: (R 11 −R 12 )/(R 11 +R 12 )=−0.7976. Hereby, the astigmatic generated by the optical image capturing system can be corrected beneficially. 
         [0090]    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 f 1 , f 3 , and f 5 , respectively. A sum of focal lengths of all lens elements with positive refractive power is ΣPP. The following relation is satisfied: ΣPP=f 1 +f 3 +f 5 =18.3455 mm and f 1 /(f 1 +f 3 +f 5 )=0.4352. Hereby, it&#39;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. 
         [0091]    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 f 2 , f 4 , and f 6 , respectively. A sum of focal lengths of all lens elements with negative refractive power is ΣNP. The following relation is satisfied: ΣNP=f 2 +f 4 +f 6 =−23.7398 mm and f 6 /(f 2 +f 4 +f 6 )=0.3724. Hereby, it&#39;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. 
         [0092]    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 IN 12 . The following relation is satisfied: IN 12 =0.8266 mm and IN 12 /f=0.1562. Hereby, the chromatic aberration of the lens elements can be improved, such that the performance can be increased. 
         [0093]    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 TP 1  and TP 2 , respectively. The following relation is satisfied: TP 1 =0.6065 mm, TP 2 =0.4574 mm, and (TP 1 +IN 12 )/TP 2 =3.1331. Hereby, the sensitivity produced by the optical image capturing system can be controlled, and the performance can be increased. 
         [0094]    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 TP 5  and TP 6 , respectively, and a distance between the fifth lens element and the sixth lens element on the optical axis is IN 56 . The following relation is satisfied: TP 5 =1.0952 mm, TP 6 =0.4789 mm, and (TP 6 +IN 56 )/TP 5 =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. 
         [0095]    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 TP 3 , TP 4 , and TP 5 , respectively. A distance between the third lens element  130  and the fourth lens element  140  on the optical axis is IN 34 . A distance between the fourth lens element  140  and the fifth lens element  150  on the optical axis is IN 45 . The following relation is satisfied: TP 3 =2.0138 mm, TP 4 =0.6283 mm, TP 5 =1.0952 mm, and (TP 3 +TP 4 +TP 5 )/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. 
         [0096]    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 InRS 51 . 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 InRS 52 . A central thickness of the fifth lens element  150  on the optical axis is TP 5 . The following relation is satisfied: InRS 51 =0.3945 mm, InRS 52 =−0.5015 mm, and |InRS 52 |/TP 5 =0.4579. Hereby, it&#39;s favorable for manufacturing and forming the lens element and for maintaining the minimization for the optical image capturing system. 
         [0097]    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 HVT 51 . 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 HVT 52 . The following relation is satisfied: HVT 51 =2.3446 mm and HVT 52 =1.2401 mm. 
         [0098]    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 Inf 51 . 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 Inf 52 . The following relation is satisfied: Inf 51 =0.4427 mm, Inf 52 =0.0638 mm, HVT 52 /(Inf 52 +CT 5 )=1.070, and tan −1 (HVT 52 /(Inf 52 +CT 5 ))=46.9368 degree. 
         [0099]    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 InRS 61 . 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 InRS 62 . A central thickness of the sixth lens element  160  is TP 6 . The following relation is satisfied: InRS 61 =−1.4393 mm, InRS 62 =−0.1489 mm, and |InRS 62 |/TP 6 =0.3109. Hereby, it&#39;s favorable for manufacturing and forming the lens element and for maintaining the minimization for the optical image capturing system. 
         [0100]    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 HVT 61 . 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 HVT 62 . The following relation is satisfied: HVT 61 =0 mm, HVT 62 =3.1461 mm, and HVT 61 /HVT 62 =0. Hereby, the aberration of the off-axis view field can be corrected effectively. 
         [0101]    In the first embodiment of the optical image capturing system, the following relation is satisfied: HVT 62 /HOI=0.8040. Hereby, the aberration of surrounding view field for the optical image capturing system can be corrected beneficially. 
         [0102]    In the first embodiment of the optical image capturing system, the following relation is satisfied: HVT 62 /HOS=0.3510. Hereby, the aberration of surrounding view field for the optical image capturing system can be corrected beneficially. 
         [0103]    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 Inf 61 . 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 Inf 62 . The following relation is satisfied: Inf 61 =0 mm, Inf 62 =0.1954 mm, HVT 62 /(Inf 62 +CT 6 )=4.6657, and tan −1 (HVT 62 /(Inf 62 +CT 6 ))=77.9028 degree. 
         [0104]    In the first embodiment of the optical image capturing system, the following relation is satisfied: |InRS 52 |+|InRS 61 |=1.9408 mm. Thus, it&#39;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 . 
         [0105]    In the first embodiment of the optical image capturing system, the following relation is satisfied: Inf 62 /|InRS 62 |=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. 
         [0106]    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 NA 2 . An Abbe number of the fourth lens element is NA 4 . An Abbe number of the sixth lens element is NA 6 . The following relation is satisfied: 1≦NA 6 /NA 2 . Hereby, the chromatic aberration for the optical image capturing system can be corrected beneficially. 
         [0107]    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%. 
         [0108]    Please refer to the following Table 1 and Table 2. 
         [0109]    The detailed data of the optical image capturing system of the first embodiment is as shown in Table 1. 
         [0000]    
       
         
               
             
               
               
               
               
               
               
               
             
               
               
               
               
               
               
               
               
             
           
               
                 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 
               
             
          
         
       
     
         [0110]    As for the parameters of the aspheric surfaces of the first embodiment, reference is made to Table 2. 
         [0000]    
       
         
               
             
               
               
               
               
               
               
               
             
               
             
               
               
               
               
               
               
               
             
           
               
                 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 
               
               
                   
               
             
          
         
       
     
         [0111]    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 
       [0112]    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 . 
         [0113]    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. 
         [0114]    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. 
         [0115]    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. 
         [0116]    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. 
         [0117]    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. 
         [0118]    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. 
         [0119]    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 . 
         [0120]    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 f 2 , f 3 , f 4 , and f 5 , respectively. The following relation is satisfied: |f 2 |+|f 3 |+|f 4 |+|f 5 |=13.59733 mm, |f 1 |+|f 6 |=5.56188 mm, and |f 2 |+|f 3 |+|f 4 |+|f 5 |&gt;|f 1 |+|f 6 |. 
         [0121]    In the second embodiment of the optical image capturing system, a central thickness of the fifth lens element  250  on the optical axis is TP 5 . A central thickness of the sixth lens element  260  is TP 6 . The following relation is satisfied: TP 5 =0.388801 mm and TP 6 =0.347001 mm. 
         [0122]    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 f 2 , f 4 , and f 5 , respectively. A sum of focal lengths of all lens elements with positive refractive power is ΣPP. The following relation is satisfied: ΣPP=f 2 +f 4 +f 5 =10.59517 mm and f 2 /(f 2 +f 4 +f 5 )=0.343240363. Hereby, it&#39;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. 
         [0123]    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 f 1 ,  13 , and f 6 , respectively. A sum of focal lengths of all lens elements with negative refractive power is ΣNP. The following relation is satisfied: ΣNP=f 1 +f 3 +f 6 =−8.56404 mm and f 1 /(f 1 +f 3 +f 6 )=0.287991415. Hereby, it&#39;s favorable for allocating the negative refractive power of the first lens element  210  to others concave lens elements. 
         [0124]    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 HVT 51 . 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 HVT 52 . The following relation is satisfied: HVT 51 =0 mm and HVT 52 =0 mm. 
         [0125]    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 Inf 51 . 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 Inf 52 . The following relation is satisfied: Inf 51 =0 mm and Inf 52 =0 mm. 
         [0126]    Please refer to the following Table 3 and Table 4. 
         [0127]    The detailed data of the optical image capturing system of the second embodiment is as shown in Table 3. 
         [0000]    
       
         
               
             
               
               
               
               
               
               
               
             
               
               
               
               
               
               
               
               
             
           
               
                 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 
               
             
          
         
       
     
         [0128]    As for the parameters of the aspheric surfaces of the second embodiment, reference is made to Table 4. 
         [0000]    
       
         
               
             
               
               
               
               
               
               
               
             
               
             
               
               
               
               
               
               
               
             
           
               
                 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 
               
               
                   
               
             
          
         
       
     
         [0129]    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. 
         [0130]    The following content may be deduced from Table 3 and Table 4. 
         [0000]    
       
         
               
             
               
               
               
             
           
               
                   
               
               
                 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 
       [0131]    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  300           first lens element  310 , a second lens element  320 , a third lens element  330 , a fourth lens element  340 , a fifth lens element  350 , a sixth lens element  360 , an IR-bandstop filter  370 , an image plane  380 , and an image sensing device  390 . 
         [0132]    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. 
         [0133]    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. 
         [0134]    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. 
         [0135]    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. 
         [0136]    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. 
         [0137]    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. 
         [0138]    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 . 
         [0139]    In the third embodiment of the optical image capturing system, focal lengths of the second through fifths lens elements are f 2 , f 3 , f 4 , and f 5 , respectively. The following relation is satisfied: |f 2 |+|f 3 |+|f 4 |+|f 5 |=118.77051 mm, |f 1 |+|f 6 |=9.27761 mm, and |f 2 |+|f 3 |+|f 4 |+|f 5 |&gt;|f 1 |+|f 6 |. 
         [0140]    In the third embodiment of the optical image capturing system, a central thickness of the fifth lens element  350  on the optical axis is TP 5 . A central thickness of the sixth lens element  360  on the optical axis is TP 6 . The following relation is satisfied: TP 5 =0.961615 mm and TP 6 =0.555035 mm. 
         [0141]    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 f 2 , f 4 , and f 5 , respectively. A sum of focal lengths of all lens elements with positive refractive power is ΣPP. The following relation is satisfied: ΣPP=f 2 +f 4 +f 5 =18.77471 mm and f 21  (f 2 +f 4 +f 5 )=0.54229333. Hereby, it&#39;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. 
         [0142]    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 f 1 , f 3 , and f 6 , respectively. A sum of focal lengths of all lens elements with negative refractive power is ΣNP. The following relation is satisfied: ΣNP=f 1 +f 3 +f 6 =−109.27341 mm and f 1 /(f 1 +f 3 +f 6 )=0.039671591. Hereby, it&#39;s favorable for allocating the negative refractive power of the first lens element  310  to others concave lens elements. 
         [0143]    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 HVT 51 . 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 HVT 52 . The following relation is satisfied: HVT 51 =0 mm and HVT 52 =0 mm. 
         [0144]    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 Inf 51 . 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 Inf 52 . The following relation is satisfied: Inf 51 =0 mm and Inf 52 =0 mm. 
         [0145]    Please refer to the following Table 5 and Table 6. 
         [0146]    The detailed data of the optical image capturing system of the third embodiment is as shown in Table 5. 
         [0000]    
       
         
               
             
               
               
               
               
               
               
               
             
               
               
               
               
               
               
               
               
             
           
               
                 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 
               
             
          
         
       
     
         [0147]    As for the parameters of the aspheric surfaces of the third embodiment, reference is made to Table 6. 
         [0000]    
       
         
               
             
               
               
               
               
               
               
               
             
               
             
               
               
               
               
               
               
               
             
           
               
                 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 
               
               
                   
               
             
          
         
       
     
         [0148]    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. 
         [0149]    The following content may be deduced from Table 5 and Table 6. 
         [0000]    
       
         
               
             
               
               
               
             
           
               
                   
               
               
                 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 
       [0150]    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  400           first lens element  410 , a second lens element  420 , a third lens element  430 , a fourth lens element  440 , a fifth lens element  450 , a sixth lens element  460 , an IR-bandstop filter  470 , an image plane  480 , and an image sensing device  490 . 
         [0151]    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. 
         [0152]    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. 
         [0153]    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. 
         [0154]    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. 
         [0155]    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. 
         [0156]    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. 
         [0157]    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 . 
         [0158]    In the fourth embodiment of the optical image capturing system, focal lengths of the second through fifth lens elements are f 2 , f 3 , f 4 , and f 5 , respectively. The following relation is satisfied: |f 2 |+|f 3 |+|f 4 |+|f 5 |=49.05722 mm and |f 1 |−|f 6 |=104.12902 mm. 
         [0159]    In the fourth embodiment of the optical image capturing system, a central thickness of the fifth lens element  450  on the optical axis is TP 5 . A central thickness of the sixth lens element  460  is TP 6 . The following relation is satisfied: TP 5 =1.34896 mm and TP 6 =0.775098 mm. 
         [0160]    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 f 2 , f 3 , and f 5 , respectively. A sum of focal lengths of all lens elements with positive refractive power is ΣPP. The following relation is satisfied: ΣPP=f 2 +f 3 +f 5 =38.99902 mm and f 2 /(f 2 +f 3 +f 5 )=0.592278985. Hereby, it&#39;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. 
         [0161]    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 f 1 , f 4 , and f 6 , respectively. A sum of focal lengths of all lens elements with negative refractive power is ΣNP. The following relation is satisfied: ΣNP=f 1 +f 4 +f 6 =−114.18722 mm and f 1 /(f 1 +f 4 +f 6 )=0.036282694. Hereby, it&#39;s favorable for allocating the negative refractive power of the first lens element  410  to others concave lens elements. 
         [0162]    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 HVT 51 . 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 HVT 52 . The following relation is satisfied: HVT 51 =1.25913 mm and HVT 52 =0 mm. 
         [0163]    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 Inf 51 . 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 Inf 52 . The following relation is satisfied: Inf 51 =−0.03639 mm and Inf 52 =0 mm. 
         [0164]    Please refer to the following Table 7 and Table 8. 
         [0165]    The detailed data of the optical image capturing system of the fourth embodiment is as shown in Table 7. 
         [0000]    
       
         
               
             
               
               
               
               
               
               
               
             
               
               
               
               
               
               
               
               
             
           
               
                 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 
               
             
          
         
       
     
         [0166]    As for the parameters of the aspheric surfaces of the fourth embodiment, reference is made to Table 8. 
         [0000]    
       
         
               
             
               
               
               
               
               
               
               
             
               
             
               
               
               
               
               
               
               
             
           
               
                 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 
               
               
                   
               
             
          
         
       
     
         [0167]    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. 
         [0168]    The following content may be deduced from Table 7 and Table 8. 
         [0000]    
       
         
               
             
               
               
               
             
           
               
                   
               
               
                 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 
       [0169]    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 . 
         [0170]    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. 
         [0171]    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. 
         [0172]    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. 
         [0173]    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. 
         [0174]    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. 
         [0175]    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. 
         [0176]    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 . 
         [0177]    In the fifth embodiment of the optical image capturing system, focal lengths of the second through fifth lens elements are f 2 , f 3 , f 4 , and f 5 , respectively. The following relation is satisfied: |f 2 |+|f 3 |+|f 4 |+|f 5 |=27.12897 mm, |f 1 |+|f 6 |=6.23646 mm, and |f 2 |+|f 3 |+|f 4 |+|f 5 |&gt;|f 1 |±|f 6 |. 
         [0178]    In the fifth embodiment of the optical image capturing system, a central thickness of the fifth lens element  550  on the optical axis is TP 5 . A central thickness of the sixth lens element  560  is TP 6 . The following relation is satisfied: TP 5 =0.2 mm and TP 6 =2.1791 mm. 
         [0179]    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 f 2 , f 3 , f 4 , and f 6 , respectively. A sum of focal lengths of all lens elements with positive refractive power is ΣPP. The following relation is satisfied: ΣNP=f 2 +f 3 +f 4 +f 6 =27.14397 mm and f 2 /(f 2 +f 3 +f 4 +f 6 )=0.587861687. Hereby, it&#39;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. 
         [0180]    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 f 1  and f 5 , respectively. A sum of focal lengths of all lens elements with negative refractive power is ΣNP. The following relation is satisfied: ΣNP=f 1 +f 5 =−6.22146 mm and f 1 /(f 1 +f 5 )=0.410310442. Hereby, it&#39;s favorable for allocating the negative refractive power of the first lens element  510  to others concave lens elements. 
         [0181]    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 HVT 51 . 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 HVT 52 . The following relation is satisfied: HVT 51 =0 mm and HVT 52 =0.860214 mm. 
         [0182]    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 Inf 51 . 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 Inf 52 . The following relation is satisfied: Inf 51 =0 mm and Inf 52 =0.013706 mm. 
         [0183]    Please refer to the following Table 9 and Table 10. 
         [0184]    The detailed data of the optical image capturing system of the fifth embodiment is as shown in Table 9. 
         [0000]    
       
         
               
             
               
               
               
               
               
               
               
             
               
               
               
               
               
               
               
               
             
           
               
                 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 
               
             
          
         
       
     
         [0185]    As for the parameters of the aspheric surfaces of the fifth embodiment, reference is made to Table 10. 
         [0000]    
       
         
               
             
               
               
               
               
               
               
               
             
               
             
               
               
               
               
               
               
               
             
           
               
                 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 
               
               
                   
               
             
          
         
       
     
         [0186]    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. 
         [0187]    The following content may be deduced from Table 9 and Table 10. 
         [0000]    
       
         
               
             
               
               
               
             
           
               
                   
               
               
                 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% 
               
               
                   
                   
               
             
          
         
       
     
         [0188]    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. 
         [0189]    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.

Technology Category: 3