Patent Publication Number: US-2016238817-A1

Title: Optical Image Capturing System

Description:
CROSS-REFERENCE TO RELATED APPLICATION 
     This application claims the benefit of Taiwan Patent Application No. 104105406, filed on Feb. 16, 2015, in the Taiwan Intellectual Property Office, the disclosure of which is incorporated herein in its entirety by reference. 
     BACKGROUND OF THE INVENTION 
     1. Field of the Invention 
     The present disclosure relates to an optical image capturing system, and more particularly to a compact optical image capturing system which can be applied to electronic products. 
     2. Description of the Related Art 
     In recent years, with the rise of portable electronic devices having camera functionalities, the demand for an optical image capturing system is raised gradually. The image sensing device of ordinary photographing camera is commonly selected from charge coupled device (CCD) or complementary metal-oxide semiconductor sensor (CMOS Sensor). In addition, as advanced semiconductor manufacturing technology enables the minimization of pixel size of the image sensing device, the development of the optical image capturing system is directed towards the field of high pixels. Therefore, the requirement for high imaging quality is rapidly raised. 
     The traditional optical image capturing system of a portable electronic device comes with different designs, including a two-lens or a three-lens design. The manufacture has kept on enhancing the portable devices pixels quality, while the consumers demand on the thin portable device is increasing; such as the night vision and photography modes, or demand of a wide angle for the self-timer function. But design of large aperture stop system often encounters more difficult technical problems, for example, the degraded image quality and complicated manufacturing process. Moreover, the distortion may increase due to the optical system designed with the wide angle. So, the optical image capturing system in prior arts cannot meet the requirement of the higher order camera lens module. 
     Therefore, how to effectively increase the aperture value and the view angle of the optical image capturing system and further improve image quality for the image formation becomes a quite important issue. 
     SUMMARY OF THE INVENTION 
     The aspect of embodiment of the present disclosure directs to an optical image capturing system and an optical image capturing lens which use combination of refractive powers, convex and concave surfaces of four-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 on an optical axis) to further increase the aperture value and the view angle of the optical image capturing system effectively and to increase imaging quality and the number of pixels so as to be applied to compact electronic products. 
     The terms and its definitions to the lens element parameters in the present embodiment are shown as below for further reference. 
     The lens element parameter related to a length or a height in the lens element 
     A height for image formation of the optical image capturing system is denoted by HOI. A height of the optical image capturing system is denoted by HOS. A distance from the object-side surface of the first lens element to the image-side surface of the fourth lens element is denoted by InTL. A distance from the image-side surface of the fourth lens element to the image plane is denoted by InB, and InTL+InB=HOS. A distance from the aperture stop (aperture) to the 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 
     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 
     A view angle is denoted by AF. Half of the view angle is denoted by HAF. A major light angle is denoted by MRA. 
     The lens element parameter related to exit/entrance pupil in the lens element 
     An entrance pupil diameter of the optical image capturing system is denoted by HEP. 
     The lens element parameter related to a depth of the lens element shape 
     A distance in parallel with an optical axis from a maximum effective diameter position to an axial point on the object-side surface of the fourth lens element is denoted by InRS 41  (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 fourth lens element is denoted by InRS 42  (instance). 
     The lens element parameter related to the lens element shape 
     A critical point C is a tangent point on a surface of a specific lens element, and the tangent point is tangent to a plane perpendicular to the optical axis and the tangent point cannot be a crossover point on the optical axis. To follow the past, a distance perpendicular to the optical axis between a critical point C 31  on the object-side surface of the third lens element and the optical axis is HVT 31  (instance). A distance perpendicular to the optical axis between a critical point C 32  on the image-side surface of the third lens element and the optical axis is HVT 32  (instance). A distance perpendicular to the optical axis between a critical point C 41  on the object-side surface of the fourth lens element and the optical axis is HVT 41  (instance). A distance perpendicular to the optical axis between a critical point C 42  on the image-side surface of the fourth lens element and the optical axis is HVT 42  (instance). The object-side surface of the fourth lens element has one inflection point IF 411  which is nearest to the optical axis, and the sinkage value of the inflection point IF 411  is denoted by SGI 411  (instance). A distance perpendicular to the optical axis between the inflection point IF 411  and the optical axis is HIF 411  (instance). The image-side surface of the fourth lens element has one inflection point IF 421  which is nearest to the optical axis and the sinkage value of the inflection point IF 421  is denoted by SGI 421  (instance). A distance perpendicular to the optical axis between the inflection point IF 421  and the optical axis is HIF 421  (instance). The object-side surface of the fourth lens element has one inflection point IF 412  which is second point nearest to the optical axis, and the sinkage value of the inflection point IF 412  is denoted by SGI 412  (instance). A distance perpendicular to the optical axis between the inflection point IF 412  and the optical axis is HIF 412  (instance). The image-side surface of the fourth lens element has one inflection point IF 422  which is second point nearest to the optical axis and the sinkage value of the inflection point IF 422  is denoted by SGI 422  (instance). A distance perpendicular to the optical axis between the inflection point IF 422  and the optical axis is HIF 422  (instance). 
     The lens element parameter related to an aberration 
     Optical Distortion for image formation in the optical image capturing system is denoted by ODT. TV distortion for image formation in the optical image capturing system is denoted by TDT. Further, the range of the aberration offset for the view of image formation may be limited to 50%-100% field. An offset of the spherical aberration is denoted by DFS. An offset of the coma aberration is denoted by DFC. 
     The disclosure provides an optical image capturing system, an object-side surface or an image-side surface of the fourth lens element has inflection points, such that the angle of incidence from each view field to the fourth lens element can be adjusted effectively and the optical distortion and the TV distortion can be corrected as well. Besides, the surfaces of the fourth lens element may have a better optical path adjusting ability to acquire better imaging quality. 
     The disclosure provides an optical image capturing system, sequentially arranged from an object side to an image side, including a first, second, third, and fourth lens elements. The first lens element may have positive refractive power and the fourth lens element may have refractive power. An object-side surface and an image-side surface of the fourth lens element are aspheric. Focal lengths of the first through fourth lens elements are f 1 , f 2 , f 3  and f 4  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 an object-side surface of the first lens element to the image plane is HOS. The following relation is satisfied: 1.2≦f/HEP≦3.0 and 0.5≦HOS/f≦3.0. 
     The disclosure provides another optical image capturing system, sequentially arranged from an object side to an image side, including a first, second, third, and fourth lens elements. The first lens element has positive refractive power, and an object-side surface and an image-side surface of the first lens element are aspheric. The second lens element has refractive power. The third lens element has refractive power. The fourth lens element has refractive power, and an object-side surface and an image-side surface of the fourth lens element are aspheric. Focal lengths of the first through fourth lens elements are f 1 , f 2 , f 3  and f4 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≦3.0, 0.4≦|tan(HAF)|≦3.0, 0.5≦HOS/f3.0, |TDT|&lt;60%, and |ODT|≦50%. 
     The disclosure provides another optical image capturing system, sequentially arranged from an object side to an image side, including a first, second, third, and fourth lens elements. The first lens element has positive refractive power, and an object-side and an image-side surfaces of the first lens element are aspheric. The second lens element has negative refractive power. The third lens element has refractive power. The fourth lens element has refractive power, an object-side surface and an image-side surface of the fourth lens element are aspheric, and at least one surface of the fourth lens element has one inflection point. Focal lengths of the first through fourth lens elements are f 1 , f 2 , f 3  and f 4  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≦2.8, 0.4|tan(HAF)≦1.5, 0.5≦HOS/f≦2.5, |TDT|&lt;1.5%, and |ODT|≦2.5%. 
     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 length of diagonal of the image sensing device is 1/2.3 inch. The pixel size of the image sensing device is less than 1.4 μm. A better pixel size of the image sensing device is less than 1.12 μm) A best pixel size of the image sensing device is less than 0.9 μm. Besides, the optical image capturing system can be applied to the image sensing device with an aspect ratio of 16:9. 
     The aforementioned optical image capturing system may be applied to the demands of photographing or recording having millions or ten millions pixels, such as 4K2K, or so-called UHD and QHD, and may have better imaging quality. 
     The height of optical system (HOS) may be reduced to achieve the minimization of the optical image capturing system when the absolute value of f 1  is larger than f 4  (i.e., |f 1 |&gt;f4). 
     When |f 2 +|f 3 |&gt;|f 1 |+|f 4 | is satisfied, at least one of the second to the third 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 to the third 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 to the third lens elements has the weak negative refractive power, the aberration of the optical image capturing system can be corrected and fine tuned. 
     The fourth lens element may have negative refractive power and a concave image-side surface. Hereby, the back focal length is reduced for keeping the miniaturization, to miniaturize the lens element effectively. In addition, at least one of the object-side and the image-side surfaces of the fourth lens element may have at least one inflection point, such that the angle of incident with incoming light from an off-axis view field can be suppressed effectively and the aberration in the off-axis view field can be corrected further. 
    
    
     
       BRIEF DESCRIPTION OF THE DRAWINGS 
       The detailed structure, operating principle and effects of the present disclosure will now be described in more details hereinafter with reference to the accompanying drawings that show various embodiments of the present disclosure as follows. 
         FIG. 1A  is a schematic view of the optical image capturing system according to the first embodiment of the present application. 
         FIG. 1B  is longitudinal spherical aberration curves, astigmatic field curves, and an optical distortion grid of the optical image capturing system in the order from left to right according to the first embodiment of the present application. 
         FIG. 1C  is a TV distortion grid of the optical image capturing system according to the first embodiment of the present application. 
         FIG. 2A  is a schematic view of the optical image capturing system according to the second embodiment of the present application. 
         FIG. 2B  is longitudinal spherical aberration curves, astigmatic field curves, and an optical distortion grid of the optical image capturing system in the order from left to right according to the second embodiment of the present application. 
         FIG. 2C  is a TV distortion grid of the optical image capturing system according to the second embodiment of the present application. 
         FIG. 3A  is a schematic view of the optical image capturing system according to the third embodiment of the present application. 
         FIG. 3B  is longitudinal spherical aberration curves, astigmatic field curves, and an optical distortion grid of the optical image capturing system in the order from left to right according to the third embodiment of the present application. 
         FIG. 3C  is a TV distortion grid of the optical image capturing system according to the third embodiment of the present application. 
         FIG. 4A  is a schematic view of the optical image capturing system according to the fourth embodiment of the present application. 
         FIG. 4B  is longitudinal spherical aberration curves, astigmatic field curves, and an optical distortion grid of the optical image capturing system in the order from left to right according to the fourth embodiment of the present application. 
         FIG. 4C  is a TV distortion grid of the optical image capturing system according to the fourth embodiment of the present application. 
         FIG. 5A  is a schematic view of the optical image capturing system according to the fifth embodiment of the present application. 
         FIG. 5B  is longitudinal spherical aberration curves, astigmatic field curves, and an optical distortion grid of the optical image capturing system in the order from left to right according to the fifth embodiment of the present application. 
         FIG. 5C  is a TV distortion grid of the optical image capturing system according to the fifth embodiment of the present application. 
         FIG. 6A  is a schematic view of the optical image capturing system according to the sixth embodiment of the present application. 
         FIG. 6B  is longitudinal spherical aberration curves, astigmatic field curves, and an optical distortion grid of the optical image capturing system in the order from left to right according to the sixth embodiment of the present application. 
         FIG. 6C  is a TV distortion grid of the optical image capturing system according to the sixth embodiment of the present application. 
         FIG. 7A  is a schematic view of the optical image capturing system according to the seventh embodiment of the present application. 
         FIG. 7B  is longitudinal spherical aberration curves, astigmatic field curves, and an optical distortion grid of the optical image capturing system in the order from left to right according to the seventh embodiment of the present application. 
         FIG. 7C  is a TV distortion grid of the optical image capturing system according to the seventh embodiment of the present application. 
         FIG. 8A  is a schematic view of the optical image capturing system according to the eighth embodiment of the present application. 
         FIG. 8B  is longitudinal spherical aberration curves, astigmatic field curves, and an optical distortion grid of the optical image capturing system in the order from left to right according to the eighth embodiment of the present application. 
         FIG. 8C  is a TV distortion grid of the optical image capturing system according to the eighth embodiment of the present application. 
         FIG. 9A  is a schematic view of the optical image capturing system according to the ninth embodiment of the present application. 
         FIG. 9B  is longitudinal spherical aberration curves, astigmatic field curves, and an optical distortion grid of the optical image capturing system in the order from left to right according to the ninth embodiment of the present application. 
         FIG. 9C  is a TV distortion grid of the optical image capturing system according to the ninth embodiment of the present application. 
         FIG. 10A  is a schematic view of the optical image capturing system according to the tenth embodiment of the present application. 
         FIG. 10B  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 tenth embodiment of the present application. 
         FIG. 10C  is a TV distortion grid of the optical image capturing system according to the tenth embodiment of the present application. 
     
    
    
     DETAILED DESCRIPTION OF THE PREFERRED EMBODIMENTS 
     Reference will now be made in detail to the exemplary embodiments of the present disclosure, examples of which are illustrated in the accompanying drawings. Therefore, it is to be understood that the foregoing is illustrative of exemplary embodiments and is not to be construed as limited to the specific embodiments disclosed, and that modifications to the disclosed exemplary embodiments, as well as other exemplary embodiments, are intended to be included within the scope of the appended claims. These embodiments are provided so that this disclosure will be thorough and complete, and will fully convey the inventive concept to those skilled in the art. The relative proportions and ratios of elements in the drawings may be exaggerated or diminished in size for the sake of clarity and convenience in the drawings, and such arbitrary proportions are only illustrative and not limiting in any way. The same reference numbers are used in the drawings and the description to refer to the same or like parts. 
     It will be understood that, although the terms ‘first’, ‘second’, ‘third’, etc., may be used herein to describe various elements, these elements should not be limited by these terms. The terms are used only for the purpose of distinguishing one component from another component. Thus, a first element discussed below could be termed a second element without departing from the teachings of embodiments. As used herein, the term “or” includes any and all combinations of one or more of the associated listed items. 
     An optical image capturing system, sequentially arranged from an object side to an image side, includes a first, second, third, and fourth lens elements with refractive power. The optical image capturing system may further include an image sensing device which is disposed on an image plane. 
     The optical image capturing system is to use three sets of wavelengths which are 486.1 nm, 587.5 nm and 656.2 nm respectively, wherein 587.5 nm is served as the primary reference wavelength and 555 nm is served as a reference wavelength for retrieving technical features. 
     A ratio of the focal length f of the optical image capturing system to a focal length fp of each of lens elements with positive refractive power is PPR. A ratio of the focal length f of the optical image capturing system to a focal length fn of each of lens elements with negative refractive power is NPR. A sum of the PPR of all lens elements with positive refractive power is ΣPPR. A sum of the NPR of all lens elements with negative refractive powers is ΣNPR. It is beneficial to control the total refractive power and the total length of the optical image capturing system when following conditions are satisfied: 0.5≦ΣPPR/|ΣNPR|≦4.5. Preferably, the following relation may be satisfied: 1≦ΣPPR/|ΣNPR|≦3.5. 
     The height of optical system (HOS) may be reduced to achieve the minimization of the optical image capturing system and may perform the images of UltraPixel when the absolute value of HOS/f is close to 1. 
     A sum of a focal length fp of each lens element with positive refractive power is ΣPP. A sum of a focal length of each lens element with negative refractive power is ΣNP. In one embodiment of the optical image capturing system of the present disclosure, the following relation is satisfied: 0&lt;ΣPP≦200 and f 1 /ΣPP≦0.85. Preferably, the following relation may be satisfied: 0&lt;ΣPP≦150 and 0.01≦f 1 /ΣPP≦0.6. Hereby, it&#39;s beneficial to control the focus ability of the optical image capturing system and allocate the positive refractive power of the optical image capturing system appropriately, so as to suppress the significant aberration generating too early. 
     The first lens element may have positive refractive power and a convex object-side surface. Hereby, strength of the positive refractive power of the first lens element can be fined-tuned, so as to reduce the total length of the optical image capturing system. 
     The second lens element may have negative refractive power. Hereby, the aberration generated by the first lens element can be corrected. 
     The third lens element may have positive refractive power. Hereby, the positive refractive power of the first lens element can be shared. 
     The fourth lens element may have negative refractive power and a concave image-side surface. Hereby, the back focal length is reduced for keeping the miniaturization, to miniaturize the lens element effectively. In addition, at least one of the object-side surface and the image-side surface of the fourth 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 may have at least one inflection point. 
     The optical image capturing system may further include an image sensing device which is disposed on an image plane. Half of a diagonal of an effective detection field of the image sensing device (i.e., 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≦3.0. Preferably, the following relation may be satisfied: 1≦HOS/HOI≦2.5 and 1≦HOS/f≦2. Hereby, the miniaturization of the optical image capturing system can be maintained effectively, so as to be carried by lightweight portable electronic devices. 
     In addition, in the optical image capturing system of the disclosure, according to different requirements, at least one aperture stops may be arranged for reducing stray light and improving the image quality. 
     In the optical image capturing system of the disclosure, the aperture stop may be a front or middle aperture. The front aperture is the aperture stop between a photographed object and the first lens element. The middle aperture is the aperture stop between the first lens element and the image plane. If the aperture stop is the front aperture, a longer distance between the exit pupil and the image plane of the optical image capturing system can be formed, such that more optical elements can be disposed in the optical image capturing system and the effect of receiving images of the image sensing device can be raised. If the aperture stop is the middle aperture, the view angle of the optical image capturing system can be expended, such that the optical image capturing system has the same advantage that is owned by wide angle cameras. A distance from the aperture stop to the image plane is InS. The following relation is satisfied: 0.5≦InS/HOS≦1.1. Preferably, the following relation may be satisfied: 0.8≦InS/HOS≦1. Hereby, features of maintaining the minimization for the optical image capturing system and having wide-angle are available simultaneously. 
     In the optical image capturing system of the disclosure, a distance from the object-side surface of the first lens element to the image-side surface of the fourth lens element is InTL. A total central thickness of all lens elements with refractive power on the optical axis is ΣTP. The following relation is satisfied: 0.45≦ΣTP/InTL≦0.95. Hereby, contrast ratio for the image formation in the optical image capturing system and defect-free rate for manufacturing the lens element can be given consideration simultaneously, and a proper back focal length is provided to dispose others optical components in the optical image capturing system. 
     A curvature radius of the object-side surface of the first lens element is R 1 . A curvature radius of the image-side surface of the first lens element is R 2 . The following relation is satisfied: 0.1≦|R 1 /R 2 |≦0.5. Hereby, the first lens element may have proper strength of the positive refractive power, so as to avoid the longitudinal spherical aberration to increase too fast. Preferably, the following relation may be satisfied: 0.1≦|R 1 /R 2 |≦0.45. 
     A curvature radius of the object-side surface of the fourth lens element is R 9 . A curvature radius of the image-side surface of the fourth lens element is R 10 . The following relation is satisfied: −200&lt;(R 7 −R 8 )/(R 7 +R 8 )&lt;30. Hereby, the astigmatic generated by the optical image capturing system can be corrected beneficially. 
     A distance between the first lens element and the second lens element on the optical axis is IN 12 . The following relation is satisfied: 0&lt;IN 12 /f≦0.25. Preferably, the following relation may be satisfied: 0.01≦IN 12 /f≦0.20. Hereby, the chromatic aberration of the lens elements can be improved, such that the performance can be increased. 
     Central thicknesses of the first lens element and the second lens element on the optical axis are 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. 
     Central thicknesses of the third lens element and the fourth lens element on the optical axis are TP 3  and TP 4  respectively, and a distance between aforementioned two lens elements on the optical axis is IN 34 . The following relation is satisfied: 0.2≦(TP 3 +IN34)/TP 4 ≦3. 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. 
     A distance between the second lens element and the third lens element on the optical axis is IN 23 . A distance from the first lens element to the fourth lens element on the optical axis is InTL. The following relation is satisfied: 0.1≦(TP 2 +TP 3 )/ΣTP≦0.9. Preferably, the following relation may be satisfied: 0.4≦(TP 2 +TP 3 )/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. 
     In the optical image capturing system of the disclosure, a distance in parallel with an optical axis from a maximum effective diameter position to an axial point on the object-side surface  142  of the fourth lens element is InRS 41  (the InRS 61  is positive if the horizontal displacement is toward the image side, or the InRS 41  is negative if the horizontal displacement is toward the object side). A distance in parallel with an optical axis from a maximum effective diameter position to an axial point on the image-side surface  144  of the fourth lens element is InRS 42 . A central thickness of the fourth lens element  140  on the optical axis is TP 4 . The following relation is satisfied: −1 mm≦InRS 41 ≦1 mm, −1 mm≦InRS 42 ≦1 mm, 1 mm&lt;|InRS 41 |+|InRS 42 |2 mm, 0.01&lt;|InRS 41 |/TP 4 ≦10 and 0.01&lt;|InRS 42 |/TP 4 ≦10. Hereby, it&#39;s favorable for manufacturing and forming the lens element and for maintaining the minimization for the optical image capturing system. 
     In the optical image capturing system of the disclosure, a distance in parallel with an optical axis from an inflection point on the object-side surface of the fourth lens element which is nearest to the optical axis to an axial point on the object-side surface of the fourth lens element is denoted by SGI 411 . A distance in parallel with an optical axis from an inflection point on the image-side surface of the fourth lens element which is nearest to the optical axis to an axial point on the image-side surface of the fourth lens element is denoted by SGI 421 . The following relation is satisfied: 0&lt;SGI 411 /(SGI 411 +TP 4 )≦0.9 and 0&lt;SGI 421 /(SGI 421 +TP 4 )≦0.9. Preferably, the following relation may be satisfied: 0.01≦SGI 411 /(SGI 411 +TP 4 )≦0.7 and 0.1≦SGI 421 /(SGI 421 +TP 4 )≦0.7. 
     A distance in parallel with the optical axis from the inflection point on the object-side surface of the fourth lens element which is the second point nearest to the optical axis to an axial point on the object-side surface of the fourth lens element is denoted by SGI 412 . A distance in parallel with an optical axis from an inflection point on the image-side surface of the fourth lens element which is the second point nearest to the optical axis to an axial point on the image-side surface second of the fourth lens element is denoted by SGI 422 . The following relation is satisfied: 0&lt;SGI 412 /(SGI 412 +TP 4 )≦0.9 and 0&lt;SGI 422 /(SGI 422 +TP 4 )≦0.9. Preferably, the following relation may be satisfied: 0.1≦SGI 412 /(SGI 412 +TP 4 )≦0.8 and 0.1≦SGI 422 /(SGI 422 +TP 4 )≦0.8. 
     A distance perpendicular to the optical axis between the inflection point on the object-side surface of the fourth lens element which is nearest to the optical axis and the optical axis is denoted by HIF 411 . A distance perpendicular to the optical axis between an axial point on the image-side surface of the fourth lens element and an inflection point on the image-side surface of the fourth lens element which is nearest to the optical axis is denoted by HIF 421 . The following relation is satisfied: 0.01≦HIF 411 /HOI≦0.9, 0.01≦HIF 421 /HOI≦0.9. Preferably, the following relation may be satisfied: 0.09≦HIF 411 |≦0.5 and 0.09≦HIF 421 /HOI≦0.5. 
     A distance perpendicular to the optical axis between the inflection point on the object-side surface of the fourth lens element which is the second point nearest to the optical axis to the optical axis is denoted by HIF 412 . A distance perpendicular to the optical axis between an axial point on the image-side surface of the fourth lens element and an inflection point on the image-side surface of the fourth lens element which is the second point nearest to the optical axis is denoted by HIF 422 . The following relation is satisfied: 0.01 mm≦HIF 412 /HOI≦0.9 and 0.01≦HIF 422 /HOI≦0.9. Preferably, the following relation may be satisfied: 0.09≦HIF 412 /HOI≦0.8 and 0.09≦HIF 422 /HOI≦0.8. 
     One embodiment of the optical image capturing system disclosed in the present invention is able to correct the aberration by crossing the lens elements having the high dispersion coefficient and the low dispersion coefficient. 
     The above Aspheric formula is: z=ch 2 /[1+[1−(k+1)c 2 h 2 ] 0.5 ]+A4h 4 +A6h 6 +A8h 8 +A10h 10 +A12h 12 +A14h 14 +A16h 16 +A18h 18 +A20h 20 + . . . , 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 A 4 , A 6 , A 8 , A 10 , A 12 , A 14 , A 16 , A 18 , and A 20  are high order aspheric coefficients. 
     The optical image capturing system provided by the disclosure, the lens elements may be made of glass or plastic material. If plastic material is adopted to produce the lens elements, the cost of manufacturing and the weight 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 fourth lens elements may be aspheric, so as to obtain more control variables. Comparing with the usage of traditional lens element made by glass, the number of using lens elements can be reduced and the aberration can be eliminated. Therefore, the total height of the optical image capturing system can be reduced effectively. 
     In addition, in the optical image capturing system provided of the disclosure, the lens element has a convex surface if the surface of the lens element is convex in proximity to the optical axis. The lens element has a concave surface if the surface of the lens element is concave in proximity to the optical axis. 
     In addition, in the optical image capturing system provided of the disclosure, at least one light diaphragm is disposed to reduce the stray light, such that the image quality is promoted. 
     The optical image capturing system of the disclosure can be adapted to the optical image capturing system with automatic focus if required. With the features of a good aberration correction and a high quality of image formation, the optical image capturing system can be used in various application fields. 
     According to the above embodiments, the specific embodiments with figures are presented in detailed as below. 
     The First Embodiment (Embodiment 1) 
     Please refer to  FIG. 1A ,  FIG. 1B  and  FIG. 1C ,  FIG. 1A  is a schematic view of the optical image capturing system according to the first embodiment of the present application,  FIG. 1B  is longitudinal spherical aberration curves, astigmatic field curves, and an optical distortion curve of the optical image capturing system in the order from left to right according to the first embodiment of the present application, and  FIG. 1C  is a TV distortion grid of the optical image capturing system according to the first embodiment of the present application. As shown in  FIG. 1A , sequentially arranged from an object side to an image side, the optical image capturing system includes an aperture stop  1 , a first lens element  110 , a second lens element  120 , a third lens element  130 , a fourth lens element  140 , an IR filter  170 , an image plane  180 , and an image sensing device  190 . 
     The first lens element  110  has positive refractive power and it is made of plastic material. The first lens element  110  has a convex object-side surface  112  and a concave image-side surface  114 ; both of the object-side surface  112  and the image-side surface  114  are aspheric and have an inflection point. A distance in parallel with an optical axis from an inflection point nearest to the optical axis on the object-side surface of the first lens element to an axial point on the object-side surface of the first lens element is denoted by SGI 111 . A distance in parallel with an optical axis from an inflection point nearest to the optical axis on the image-side surface of the first lens element to an axial point on the image-side surface of the first lens element is denoted by SGI 121 . The following relation is satisfied: SGI 111 =0.0603484 mm, SGI 121 =0.000391938 mm, |SGI 111 |/(|SGI 111 |+TP 1 )=0.16844, |SGI 121 |/(|SGI 121 |+TP 1 )=0.00131. 
     A distance perpendicular to the optical axis between the inflection point on the object-side surface of the first lens element which is nearest to the optical axis and the optical axis is denoted by HIF 111 . A distance perpendicular to the optical axis between the inflection point on the image-side surface of the first lens element which is nearest to the optical axis and the optical axis is denoted by HIF 121 . The following relation is satisfied: HIF 111 =0.313265 mm, HIF 121 =0.0765851 mm, HIF 111 /HOI=0.30473, and HIF 121 /HOI=0.07450. 
     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 , both of the object-side surface  122  and the image-side surface  124  are aspheric and have one inflection point. A distance in parallel with an optical axis from an inflection point on the object-side surface of the second lens element which is nearest to the optical axis to an axial point on the object-side surface of the second lens element is denoted by SGI 211 . A distance in parallel with an optical axis from an inflection point on the image-side surface of the second lens element which is nearest to the optical axis to an axial point on the image-side surface of the second lens element is denoted by SGI 221 . The following relation is satisfied: SGI 211 =0.000529396 mm, SGI 221 =0.0153878 mm, |SGI 211 |/(SGI 211 +TP 2 )=0.00293, and |SGI 221 |+TP 2 )=0.07876. 
     A distance perpendicular to the optical axis between the inflection point on the object-side surface of the second lens element which is nearest to the optical axis and the optical axis is denoted by HIF 211 . A distance perpendicular to the optical axis between an axial point on the image-side surface of the second lens element and an inflection point on the image-side surface of the second lens element which is nearest to the optical axis is denoted by HIF 221 . The following relation is satisfied: HIF 211 =0.0724815 mm, HIF 221 =0.218624 mm, HIF 211 /HOI=0.07051, and HIF 221 /H 0 I=0.21267. 
     The third lens element  130  has positive refractive power and it is made of plastic material. The third lens element  130  has a concave object-side surface  132  and a convex image-side surface  134 ; both of the object-side surface  132  and the image-side surface  134  are aspheric. The object-side surface  132  has two inflection points and the image-side surface  134  has one inflection point. A distance in parallel with an optical axis from an inflection point on the object-side surface of the third lens element which is nearest to the optical axis to an axial point on the object-side surface of the third lens element is denoted by SGI 311 . A distance in parallel with an optical axis from an inflection point on the image-side surface of the third lens element which is nearest to the optical axis to an axial point on the image-side surface of the third lens element is denoted by SGI 321 .The following relation is satisfied: SGI 311 =−0.00361837 mm, SGI 321 =−0.0872851 mm, |SGI 311 |/(|SGI 311 |+TP 3 )=0.01971, and |SGI 321 |/(|SGI 321 |+TP 3 )=0.32656. 
     A distance in parallel with an optical axis from an inflection point on the object-side surface of the third lens element which is a second point nearest to the optical axis to an axial point on the object-side surface of the third lens element is denoted by SGI 312 . The following relation is satisfied: SGI 312 =0.00031109 mm, and |SGI 312 |+(|SGI 312 |+TP 3 )=0.00173. 
     A distance perpendicular to the optical axis between the inflection point on the object-side surface of the third lens element which is nearest to the optical axis and the optical axis is denoted by HIF 311 . A distance perpendicular to the optical axis between the inflection point on the image-side surface of the third lens element which is nearest to the optical axis and the optical axis is denoted by HIF 321 . The following relation is satisfied: HIF 311 =0.128258 mm, HIF 321 =0.287637 mm, HIF 311 /H 01 =0.12476, and HIF 321 /HOI=0.27980. 
     A distance perpendicular to the optical axis from an inflection point on the object-side surface of the third lens element which is a second point nearest to the optical axis to the optical axis is denoted by HII 312 . The following relation is satisfied: HIF 312 =0.374412 mm, and HIF 312 /HOI=0.36421. 
     The fourth lens element  140  has negative refractive power and it is made of plastic material. The fourth lens element  140  has a convex object-side surface  142  and a concave image-side surface  144 ; both of the object-side surface  142  and the image-side surface  144  are aspheric. The object-side surface  142  has two inflection points and the image-side surface  144  has one inflection point. A distance in parallel with an optical axis from an inflection point on the object-side surface of the fourth lens element which is nearest to the optical axis to an axial point on the object-side surface of the fourth lens element is denoted by SGI 411 . A distance in parallel with an optical axis from an inflection point on the image-side surface of the fourth lens element which is nearest to the optical axis to an axial point on the image-side surface of the fourth lens element is denoted by SGI 421 . The following relation is satisfied: SGI 411 =0.00982462 mm, SGI 421 =0.0484498 mm, |SGI 411 |/(|SGI 411 |+TP 4 )=0.02884, and |SGI 421 |/(|SGI 421 |+TP 4 )=0.21208. 
     A distance in parallel with an optical axis from an inflection point on the object-side surface of the fourth lens element which is nearest to the optical axis to an axial point on the object-side surface of the fourth lens element is denoted by SGI 412 . The following relation is satisfied: SGI 412 =−0.0344954 mm and |SGI 412 |/(|SGI 412 |+TP 4 )=0.09443. 
     A distance perpendicular to the optical axis between the inflection point on the object-side surface of the fourth lens element which is nearest to the optical axis and the optical axis is denoted by HIF 411 . A distance perpendicular to the optical axis between an axial point on the image-side surface of the fourth lens element and an inflection point on the image-side surface of the fourth lens element which is nearest to the optical axis is denoted by HIF 421 . The following relation is satisfied: HIF 411 =0.15261 mm, HIF 421 =0.209604 mm, HIF 411 /HOI=0.14845, and HIF 421 /HOI=0.20389. 
     A distance perpendicular to the optical axis between an inflection point on the object-side surface of the fourth lens element which is a second point nearest to the optical axis and the optical axis is denoted by HIF 412 . The following relation is satisfied: HIF 412 =0.602497 mm, and HIF 412 /HOI=0.58609. 
     The IR filter  170  is made of glass material without affecting the focal length of the optical image capturing system and it is disposed between the fourth lens element  140  and the image plane  180 . 
     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. Half of a maximal view angle of the optical image capturing system is HAF. The detailed parameters are shown as below: f=1.3295 mm, f/HEP=1.83, HAF=37.5 degree and tan(HAF)=0.7673. 
     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 fourth lens element  140  is f 4 . The following relation is satisfied: f 1 =1.6074, |f/f 1 |=0.8271, f 4 =−1.0098, |f 1 |&gt;f 4 , and |f 1 /f 4 |=1.5918. 
     In the first embodiment of the optical image capturing system, focal lengths of the second lens element  120  and the third lens element  130  are f 2  and f 3  respectively. The following relation is satisfied: |f 2 |+|f 3 |=4.0717 mm, |f 1 |+|f 4 |=2.6172 mm, and |f 2 |+f 3 |&gt;|f 1 |+|f 4 |. 
     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=f/f 1 +f/f 3 =2.4734. A sum of the NPR of all lens elements with negative refractive powers is ⊖NPR=f/f 2 +f/f 4 =−1.7239. ΣPPR/|ΣNPR|=1.4348. The following relation is satisfied: |f/f 2 |=0.4073; |f/f 3 |=1.6463, and |f/f 4 |=1.3166. 
     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  144  of the fourth 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  (aperture) to an image plane  180  of the optical image capturing system is denoted by InS. Half of a diagonal of an effective detection field of the image sensing device is HOI. A distance between the image-side surface  144  of the fourth lens element and the image plane  180  is InB. The following relation is satisfied: InTL+InB=HOS, HOS=1.8503 mm, HOI=1.0280 mm, HOS/HOI=1.7999, HOS/f=1.3917, InTL/HOS=0.6368, InS=1.7733 mm, and InS/HOS=0.9584. 
     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=0.9887 mm and ΣTP/InTL=0.8392. Hereby, the contrast ratio of the optical image capturing system and the yield ration of manufacturing the lens elements are able to be concerned, and an adequate rear focal length is provided to accommodate the other elements. 
     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 . 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 |=0.1252. Hereby, the first lens element has adequate strength of positive refractive power to avoid the spherical aberration increasing too fast. 
     In the first embodiment of the optical image capturing system, a curvature radius of the object-side surface  142  of the fourth lens element is R 7 . A curvature radius of the image-side surface  144  of the fourth lens element is R 8 . The following relation is satisfied: (R 7 −R 8 )/(R 7 +R 8 )=0.4810. Hereby, the distortion caused in the optical image capturing system can be corrected. 
     In the first embodiment of the optical image capturing system, focal lengths of the first lens element  110  and the third lens element  130  on the optical axis are f 1  and f 3  respectively. A sum of the focal length of all the lens elements having positive refractive power is ΣPP. The following relation is satisfied: ΣPP=f 1 +f 3 =2.4150 mm, and f 1 /(f 1 +f 3 )=0.6656. Hereby, it&#39;s favorable for allocating the positive refractive power of the first lens element  110  to others positive lens elements and the significant aberrations generated in the process of moving the incident light can be suppressed. 
     In the first embodiment of the optical image capturing system, focal lengths of the second lens element  120  and the fourth lens element  140  on the optical axis are f 2  and f 4  respectively. A sum of the focal length of all the lens elements having negative refractive power is ΣNP. The following relation is satisfied: ΣNP=f 2 +f 4 =−4.2739 mm and f 4 /(f 2 +f 4 )=0.7637. Hereby, it&#39;s favorable for allocating the negative refractive power of the fourth lens element  140  to others negative lens elements and the significant aberrations generated in the process of moving the incident light can be suppressed 
     In the first embodiment of the optical image capturing system, a distance between the first lens element  110  and the second lens element  120  on the optical axis is IN 12 . The following relation is satisfied: IN 12 =0.0846 mm, and IN 12 /f=0.0636. Hereby, the chromatic aberration of the lens elements can be improved, such that the performance can be increased. 
     In the first embodiment of the optical image capturing system, central thicknesses of the first lens element  110  and the second lens element  120  on the optical axis are TP 1  and TP 2  respectively. The following relation is satisfied: TP 1 =0.2979 mm; TP 2 =0.1800 mm, (TP 1 +IN 12 )/TP 2 =2.1251. Hereby, the sensitivity produced by the optical image capturing system can be controlled, and the performance can be increased. 
     In the first embodiment of the optical image capturing system, central thicknesses of the third lens element  130  and the fourth lens element  140  on the optical axis are TP 3  and TP 4  respectively, and a distance between aforementioned two lens elements on the optical axis is IN 34 . The following relation is satisfied: TP 3 =0.3308 mm, TP 4 =0.1800 mm, and (TP 4 +IN 34 )/TP 3 =0.6197. Hereby, the sensitivity produced by the optical image capturing system can be controlled and the total height of the optical image capturing system can be reduced. 
     In the first embodiment of the optical image capturing system, a total central thickness of the first lens element  110  through the fourth lens element  140  on an optical axis is ΣTP, and the following relation is satisfied: (TP 2 +TP 3 )/ΣTP=0.5166. Hereby, the aberration generated by the process of moving the incident light can be adjusted slightly layer upon layer, and the total height of the optical image capturing system can be reduced. 
     In the first embodiment of the optical image capturing system, a distance in parallel with the optical axis from a maximum effective diameter position on the object-side surface  142  of the fourth lens element to an axial point on the object-side surface  142  of the fourth lens element is InRS 41 . A distance in parallel with the optical axis from a maximum effective diameter position on the image-side surface  144  of the fourth lens element to an axial point on the image-side surface  144  of the fourth lens element is InRS 42 . A central thickness of the fourth lens element  140  on the optical axis is TP 4 . The following relation is satisfied: InRS 41 =−0.0356 mm, InRS 42 =0.0643 mm, |InRS 41 |+|InRS 42 |=0.0999 mm, |InRS 41 |/TP 4 =0.19794, and |InRS 42 |/TP 4 =0.3572. Hereby, it&#39;s favorable for manufacturing and forming the lens element and for maintaining the minimization for the optical image capturing system. 
     In the first embodiment of the optical image capturing system, a distance perpendicular to the optical axis between a critical point C 41  on the object-side surface  142  of the fourth lens element and the optical axis is HVT 41 . A distance perpendicular to the optical axis between a critical point C 42  on the image-side surface  144  of the fourth lens element and the optical axis is HVT 42 . The following relation is satisfied: HVT 41 =0.3200 mm, HVT 42 =0.5522 mm and HVT 41 /HVT 42 =0.5795. Hereby, the aberration of the off-axis view field can be corrected effectively. 
     In the first embodiment of the optical image capturing system, the following relation is satisfied: HVT 42 /HOI=0.5372. Hereby, the aberration of surrounding view field for the optical image capturing system can be corrected beneficially. 
     In the first embodiment of the optical image capturing system, the following relation is satisfied: HVT 42 /HOS=0.2985. Hereby, the aberration of surrounding view field for the optical image capturing system can be corrected beneficially. 
     In the first embodiment of the optical image capturing system, the second lens element  120  and the fourth lens element  140  have negative refractive power. An Abbe number of the first lens element is NA 1 , an Abbe number of the second lens element is NA 2 , and an Abbe number of the fourth lens element is NA 4 . The following relation is satisfied: |NA 1 −NA 2 |=3.6083, and NA 4 /NA 2 =2.496668953. Hereby, the aberration of the optical image capturing system can be corrected beneficially. 
     In the first embodiment of the optical image capturing system, TV distortion and optical distortion for image formation in the optical image capturing system are TDT and ODT respectively. The following relation is satisfied: |TDT|=0.4356% and |ODT|=1.0353%. 
     Please refer to the following Table 1 and Table 2. 
     The detailed data of the optical image capturing system of the first embodiment is as shown in Table 1. 
     
       
         
           
               
             
               
                 TABLE 1 
               
             
            
               
                   
               
               
                 Data of the optical image capturing system 
               
               
                 f = 1.3295 mm, f/HEP = 1.83, HAF = 37.5 deg, tan(HAF) = 0.7673 
               
            
           
           
               
               
               
               
               
               
               
            
               
                   
                   
                   
                   
                   
                   
                 Focal 
               
               
                 Surface # 
                 Curvature Radius 
                 Thickness 
                 Material 
                 Index 
                 Abbe # 
                 length 
               
               
                   
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                 0 
                 Object 
                 Plano 
                 600 
                   
                   
                   
                   
               
               
                 1 
                 Lens 1/Ape. 
                 0.78234 
                 0.29793 
                 Plastic 
                 1.544 
                 56.06 
                 1.607 
               
               
                   
                 stop 
                   
                   
                   
                   
                   
                   
               
               
                 2 
                   
                 6.24733 
                 0.08459 
                   
                   
                   
                   
               
               
                 3 
                 Lens 2 
                 4.14538 
                 0.18000 
                 Plastic 
                 1.642 
                 22.46 
                 −3.264 
               
               
                 4 
                   
                 1.37611 
                 0.07989 
                   
                   
                   
                   
               
               
                 5 
                 Lens 3 
                 −1.86793 
                 0.33081 
                 Plastic 
                 1.544 
                 56.06 
                 0.808 
               
               
                 6 
                   
                 −0.37896 
                 0.02500 
                   
                   
                   
                   
               
               
                 7 
                 Lens 4 
                 0.91216 
                 0.18000 
                 Plastic 
                 1.544 
                 56.06 
                 −1.010 
               
               
                 8 
                   
                 0.31965 
                 0.17206 
                   
                   
                   
                   
               
               
                 9 
                 IR filter 
                 Plano 
                 0.21 
                 BK7 —   
                   
                   
                   
               
               
                   
                   
                   
                   
                 SCHOTT 
                   
                   
                   
               
               
                 10 
                   
                 Plano 
                 0.29 
                   
                   
                   
                   
               
               
                 11 
                 Image plane 
                 Plano 
                   
                   
                   
                   
                   
               
               
                 12 
               
               
                   
               
               
                 Reference wavelength (d-line) = 555 nm, shield position: clear aperture (CA) of the third plano = 0.36 mm 
               
            
           
         
       
     
     As for the parameters of the aspheric surfaces of the first embodiment, reference is made to Table 2. 
     
       
         
           
               
             
               
                 TABLE 2 
               
               
                   
               
               
                 Aspheric Coefficients 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
               
            
               
                 Surface # 
                 1 
                 2 
                 3 
                 4 
                 5 
                 6 
               
               
                   
               
               
                 k = 
                  5.76611E−01 
                  0.00000E+00 
                  1.97452E+01 
                  7.33565E+00 
                 0.00000E+00 
                 −2.09962E+00 
               
               
                 A4 = 
                 −5.51709E−01 
                 −2.23956E+00 
                 −3.78546E+00 
                 −8.00950E−01 
                 3.04031E+00 
                  1.53566E+00 
               
               
                 A6 = 
                  1.84419E+00 
                 −2.09186E+00 
                 −4.83803E+00 
                 −1.41685E+01 
                 −7.06804E+00  
                 −5.62446E+00 
               
               
                 A8 = 
                 −5.57618E+01 
                 −3.33312E+01 
                 −1.43809E+02 
                  8.62437E+01 
                 −1.72158E+01  
                  1.96904E+01 
               
               
                 A10 = 
                  3.45594E+02 
                  3.76727E+02 
                  3.15322E+03 
                 −3.68614E+02 
                 8.52740E+01 
                  1.00740E+02 
               
               
                 A12 = 
                 −1.49452E+03 
                 −1.16899E+03 
                 −1.72284E+04 
                  1.49654E+03 
                 4.79654E+02 
                 −2.01751E+02 
               
               
                 A14 = 
                   
                   
                  3.30750E+04 
                 −4.00967E+03 
                 −5.54044E+03  
                 −9.63345E+02 
               
               
                 A16 = 
                   
                   
                   
                   
                 1.16419E+04 
                 −5.33613E+00 
               
               
                 A18 = 
                   
                   
                   
                   
                 6.99649E+04 
                  6.97327E+03 
               
               
                 A20 = 
                   
                   
                   
                   
                 −3.30580E+05  
                 −4.71386E+03 
               
               
                   
               
            
           
           
               
               
               
               
            
               
                   
                 Surface # 
                 7 
                 8 
               
               
                   
               
               
                   
                 k = 
                 −2.65841E+01 
                 −5.02153E+00 
               
               
                   
                 A4 = 
                 −2.73583E+00 
                 −2.12382E+00 
               
               
                   
                 A6 = 
                  2.46306E+01 
                  1.01033E+01 
               
               
                   
                 A8 = 
                 −2.14097E+02 
                 −4.02636E+01 
               
               
                   
                 A10 = 
                  1.17330E+03 
                  1.06276E+02 
               
               
                   
                 A12 = 
                 −3.91183E+03 
                 −1.77404E+02 
               
               
                   
                 A14 = 
                  7.77524E+03 
                  1.78638E+02 
               
               
                   
                 A16 = 
                 −8.46792E+03 
                 −1.05883E+02 
               
               
                   
                 A18 = 
                  3.92598E+03 
                  3.92300E+01 
               
               
                   
                 A20 = 
                 −6.97617E+01 
                 −1.03791E+01 
               
               
                   
               
            
           
         
       
     
     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 - 14  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 A 1 -A 20  is the first through twentieth order aspheric surface coefficients respectively. Besides, the tables in following embodiments are referenced to the schematic view and the aberration graphs respectively, and definitions of parameters in the tables are equal to those in the Table 1 and the Table 2, so the repetitious details need not be given here. 
     The Second Embodiment (Embodiment 2) 
     Please refer to  FIG. 2A ,  FIG. 2B  and  FIG. 2C ,  FIG. 2A  is a schematic view of the optical image capturing system according to the second embodiment of the present application,  FIG. 2B  is longitudinal spherical aberration curves, astigmatic field curves, and an optical distortion curve of the optical image capturing system in the order from left to right according to the second embodiment of the present application, and  FIG. 2C  is a TV distortion grid of the optical image capturing system according to the second embodiment of the present application. As shown in  FIG. 2A , sequentially arranged from an object side to an image side, the optical image capturing system includes a first lens element  210 , an aperture stop  200 , a second lens element  220 , a third lens element  230 , a fourth lens element  240 , an IR filter  270 , an image plane  280 , and an image sensing device  290 . 
     The first lens element  210  has positive refractive power and it is made of plastic material. The first lens element  210  has a convex object-side surface  212  and a convex image-side surface  214 , both of the object-side surface  212  and the image-side surface  214  are aspheric, and the object-side surface  212  has one inflection point. 
     The second lens element  220  has negative refractive power and it is made of plastic material. The second lens element  220  has a convex object-side surface  222  and a concave image-side surface  224 ; both of the object-side surface  222  and the image-side surface  224  are aspheric and have two inflection points. 
     The third lens element  230  has positive refractive power and it is made of plastic material. The third lens element  230  has a concave object-side surface  232  and a convex image-side surface  234 ; both of the object-side surface  232  and the image-side surface  234  are aspheric. The object-side surface  232  has four inflection points and the image-side surface  234  has one inflection point. 
     The fourth lens element  240  has negative refractive power and it is made of plastic material. The fourth lens element  240  has a convex object-side surface  242  and a concave image-side surface  244 , both of the object-side surface  242  and the image-side surface  244  are aspheric and have an inflection point. 
     The IR filter  270  is made of glass material without affecting the focal length of the optical image capturing system and it is disposed between the fourth lens element  240  and the image plane  280 . 
     In the second embodiment of the optical image capturing system, focal lengths of the second lens element  220 , the third lens element  230  and the fourth lens element  240  are f 2 ,  13  and f 4  respectively. The following relation is satisfied: |f 2 |+|f 3 |16.0957 mm, |f 1 |+|f 4 |=9.0045 mm, and |f 2 |+f 3 |&gt;|f 1 |+|f 4 |. 
     In the second embodiment of the optical image capturing system, a central thickness of the third lens element  230  on the optical axis is TP 3 . A central thickness of the fourth lens element  240  is TP 4 . The following relation is satisfied: TP 3 =0.445178 mm and TP 4 =0.554588 mm. 
     In the second embodiment of the optical image capturing system, the first lens element  210  and the third lens element  230  are positive lens elements, and focal lengths of the first lens element  210  and the third lens element  230  are f 1  and f 3  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 . Hereby, it&#39;s favorable for allocating the positive refractive power of the first lens element  210  to others positive lens elements and the significant aberrations generated in the process of moving the incident light can be suppressed. 
     In the second embodiment of the optical image capturing system, focal lengths of the second lens element  220  and the fourth lens element  240  are f 2  and f 4  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 . Hereby, it&#39;s favorable for allocating the negative refractive power of the fourth lens element  240  to others negative lens elements. 
     Please refer to the following Table 3 and Table 4. 
     The detailed data of the optical image capturing system of the second embodiment is as shown in Table 3. 
     
       
         
           
               
             
               
                 TABLE 3 
               
             
            
               
                   
               
               
                 Data of the optical image capturing system 
               
               
                 f = 2.325 mm, f/HEP = 1.6, HAF = 44.0357 deg, tan(HAF) = 0.0.9669 
               
            
           
           
               
               
               
               
               
               
               
            
               
                   
                   
                   
                   
                   
                   
                 Focal 
               
               
                 Surface # 
                 Curvature Radius 
                 Thickness 
                 Material 
                 Index 
                 Abbe # 
                 length 
               
               
                   
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                 0 
                 Object 
                 Plano 
                 6000 
                   
                   
                   
                   
               
               
                 1 
                 Ape. stop 
                 Plano 
                 0.01789 
                   
                   
                   
                   
               
               
                 2 
                 Lens 1/ 
                 1.89006 
                 0.65111 
                 Plastic 
                 1.544 
                 56.09 
                 3.318 
               
               
                 3 
                   
                 −38.00000 
                 0.20621 
                   
                   
                   
                   
               
               
                 4 
                 Lens 2 
                 8.07372 
                 0.22445 
                 Plastic 
                 1.642 
                 22.46 
                 −13.432 
               
               
                 5 
                   
                 4.14161 
                 0.15971 
                   
                   
                   
                   
               
               
                 6 
                 Lens 3 
                 −0.90322 
                 0.44518 
                 Plastic 
                 1.544 
                 56.09 
                 2.664 
               
               
                 7 
                   
                 −0.65409 
                 0.02500 
                   
                   
                   
                   
               
               
                 8 
                 Lens 4 
                 1.45734 
                 0.55459 
                 Plastic 
                 1.544 
                 56.09 
                 −5.687 
               
               
                 9 
                   
                 0.85849 
                 0.34266 
                   
                   
                   
                   
               
               
                 10 
                 IR filter 
                 1E+18 
                 0.220 
                 BK7 —   
                 1.517 
                 64.13 
                   
               
               
                   
                   
                   
                   
                 SCHOTT 
                   
                   
                   
               
               
                 11 
                   
                 Plano 
                 0.680 
                   
                   
                   
                   
               
               
                 12 
                 Image plane 
                 Plano 
               
               
                   
               
               
                 Reference wavelength (d-line) = 555 nm, shield position: clear aperture (CA) of the third plano = 0.83 mm, clear aperture (CA) of the sixth plano = 1.05 mm 
               
            
           
         
       
     
     As for the parameters of the aspheric surfaces of the second embodiment, reference is made to Table 4. 
     
       
         
           
               
             
               
                 TABLE 4 
               
               
                   
               
               
                 Aspheric Coefficients 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
               
            
               
                 Surface # 
                 2 
                 3 
                 4 
                 5 
                 6 
                 7 
               
               
                   
               
               
                 k = 
                 −3.417304E+01  
                 −5.223000E−11 
                 0.000000E+00 
                 −1.912480E−01 
                 −3.023323E−01  
                 −5.443870E+00 
               
               
                 A4 = 
                 5.375104E−01 
                 −4.790955E−01 
                 −1.142745E+00  
                 −7.065696E−01 
                 6.384577E−01 
                 −1.061410E+00 
               
               
                 A6 = 
                 −2.213051E+00  
                  4.220172E−01 
                 2.807088E+00 
                  3.913050E+00 
                 4.292632E+00 
                  4.535416E+00 
               
               
                 A8 = 
                 7.330342E+00 
                 −1.748764E+00 
                 −2.448038E+01  
                 −1.650334E+01 
                 −1.776124E+01  
                 −1.330419E+01 
               
               
                 A10 = 
                 −1.822241E+01  
                  3.454599E+00 
                 9.068157E+01 
                  3.368990E+01 
                 2.839290E+01 
                  2.345173E+01 
               
               
                 A12 = 
                 2.573815E+01 
                 −2.210432E+00 
                 −1.535541E+02  
                 −3.492242E+01 
                 −2.120002E+01  
                 −1.634752E+01 
               
               
                 A14 = 
                 −1.605684E+01  
                 −1.285217E+00 
                 1.236237E+02 
                  1.779851E+01 
                 6.826051E+00 
                  1.543734E+01 
               
               
                 A16 = 
                 0.000000E+00 
                  1.313507E+00 
                 −3.831969E+01  
                 −3.511375E+00 
                 −4.985787E−01  
                  3.886608E+01 
               
               
                 A18 = 
                 0.000000E+00 
                  0.000000E+00 
                 0.000000E+00 
                  0.000000E+00 
                 0.000000E+00 
                 −2.748496E+01 
               
               
                 A20 = 
                 0.000000E+00 
                  0.000000E+00 
                 0.000000E+00 
                  0.000000E+00 
                 0.000000E+00 
                  6.756244E+00 
               
               
                   
               
            
           
           
               
               
               
               
            
               
                   
                 Surface # 
                 8 
                 9 
               
               
                   
               
               
                   
                 k = 
                 0.000000E+00 
                 −5.312119E+00 
               
               
                   
                 A4 = 
                 9.111946E−02 
                 −3.418533E−02 
               
               
                   
                 A6 = 
                 −1.685274E+00  
                 −1.262599E−01 
               
               
                   
                 A8 = 
                 3.917336E+00 
                  1.995589E−01 
               
               
                   
                 A10 = 
                 −5.327089E+00  
                 −1.769685E−01 
               
               
                   
                 A12 = 
                 4.242562E+00 
                  9.068956E−02 
               
               
                   
                 A14 = 
                 −1.751764E+00  
                 −2.372973E−02 
               
               
                   
                 A16 = 
                 1.526218E−01 
                  1.384645E−03 
               
               
                   
                 A18 = 
                 1.381885E−01 
                  6.474321E−04 
               
               
                   
                 A20 = 
                 −3.706702E−02  
                 −1.040397E−04 
               
               
                   
               
            
           
         
       
     
     In the second embodiment, the presentation of the aspheric surface formula is similar to that in the first embodiment. Besides, the definitions of parameters in following tables are equal to those in the first embodiment, so the repetitious details need not be given here. 
     The following content may be deduced from Table 3 and Table 4. 
     
       
         
           
               
             
               
                   
               
               
                 Related inflection point values of second embodiment (Primary 
               
               
                 reference wavelength: 555 nm) 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 InRS41 
                 InRS42 
                 HVT41 
                 HVT42 
                 |ODT|% 
                 |TDT|% 
               
               
                   
               
               
                 0.02729 
                 0.10007 
                 0.89325 
                 1.18833 
                 1.14482 
                 0.27439 
               
               
                   
               
               
                 |f/f1| 
                 |f/f2| 
                 |f/f3| 
                 |f/f4| 
                 |f1/f2| 
                 |f2/f3| 
               
               
                   
               
               
                 0.70081 
                 0.17309 
                 0.87288 
                 0.40882 
                 0.24699 
                 5.04291 
               
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                   
                   
                   
                 (TP1 + 
                   
                   
               
               
                   
                   
                 ΣPPR/ 
                 IN12)/ 
                 (TP4 + IN34)/ 
                 (TP2 + TP3)/ 
               
               
                 ΣPPR 
                 ΣNPR 
                 |ΣNPR| 
                 TP2 
                 TP3 
                 ΣTP 
               
               
                   
               
               
                 1.57369 
                 0.58191 
                 2.70435 
                 3.81974 
                 1.30192 
                 0.35707 
               
               
                   
               
            
           
           
               
               
               
               
               
            
               
                 ΣPP 
                 ΣNP 
                 f1/ΣPP 
                 f4/ΣNP 
                 IN12/f 
               
               
                   
               
               
                 5.98109 
                 −19.11909 
                 0.55467 
                 0.29745 
                 0.08870 
               
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                   
                   
                   
                   
                   
                 ΣTP/ 
               
               
                 InTL 
                 HOS 
                 HOS/HOI 
                 InS/HOS 
                 InTL/HOS 
                 InTL 
               
               
                   
               
               
                 2.26624 
                 3.50890 
                 1.54713 
                 1.00510 
                 0.64585 
                 0.82750 
               
               
                   
               
            
           
           
               
               
               
               
            
               
                 |InRS41|/TP4 
                 |InRS42|/TP4 
                 HVT42/HOI 
                 HVT42/HOS 
               
               
                   
               
               
                 0.04921 
                 0.18044 
                 0.52396 
                 0.33866 
               
               
                   
               
            
           
         
       
     
     The following content may be deduced from Table 3 and Table 4. 
     
       
         
           
               
             
               
                   
               
               
                 Related inflection point values of second embodiment (Primary reference wavelength: 555 nm) 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                 HIF111 
                 0.53932 
                 HIF111/HOI 
                 0.23779 
                 SGI111 
                 0.07094 
                 |SGI111|/(|SGI111| + TP1) 
                 0.09825 
               
               
                 HIF211 
                 0.09751 
                 HIF211/HOI 
                 0.04299 
                 SGI211 
                 0.00049 
                 |SGI211|/(|SGI211| + TP2) 
                 0.00217 
               
               
                 HIF212 
                 0.77568 
                 HIF212/HOI 
                 0.34201 
                 SGI212 
                 −0.23711 
                 |SGI212|/(|SGI212| + TP2) 
                 0.51372 
               
               
                 HIF221 
                 0.23749 
                 HIF221/HOI 
                 0.10471 
                 SGI221 
                 0.00512 
                 |SGI221|/(|SGI221| + TP2) 
                 0.02230 
               
               
                 HIF222 
                 0.95500 
                 HIF222/HOI 
                 0.42107 
                 SGI222 
                 −0.10428 
                 |SGI222|/(|SGI222| + TP2) 
                 0.31722 
               
               
                 HIF311 
                 0.31301 
                 HIF311/HOI 
                 0.13801 
                 SGI311 
                 −0.04666 
                 |SGI311|/(|SGI311| + TP3) 
                 0.09486 
               
               
                 HIF312 
                 0.55951 
                 HIF312/HOI 
                 0.24670 
                 SGI312 
                 −0.09571 
                 |SGI312|/(|SGI312| + TP3) 
                 0.17695 
               
               
                 HIF313 
                 0.71732 
                 HIF313/HOI 
                 0.31628 
                 SGI313 
                 −0.12366 
                 |SGI313|/(|SGI313| + TP3) 
                 0.21739 
               
               
                 HIF314 
                 1.00992 
                 HIF314/HOI 
                 0.44529 
                 SGI314 
                 −0.10749 
                 |SGI314|/(|SGI314| + TP3) 
                 0.19449 
               
               
                 HIF321 
                 0.70007 
                 HIF321/HOI 
                 0.30867 
                 SGI321 
                 −0.28301 
                 |SGI321|/(|SGI321| + TP3) 
                 0.38865 
               
               
                 HIF411 
                 0.49013 
                 HIF411/HOI 
                 0.21610 
                 SGI411 
                 0.07631 
                 |SGI411|/(|SGI411| + TP4) 
                 0.12095 
               
               
                 HIF421 
                 0.54232 
                 HIF421/HOI 
                 0.23912 
                 SGI421 
                 0.12430 
                 |SGI421|/(|SGI421| + TP4) 
                 0.18309 
               
               
                   
               
            
           
         
       
     
     The Third Embodiment (Embodiment 3) 
     Please refer to  FIG. 3A ,  FIG. 3B , and  FIG. 3C ,  FIG. 3A  is a schematic view of the optical image capturing system according to the third embodiment of the present application,  FIG. 3B  is longitudinal spherical aberration curves, astigmatic field curves, and an optical distortion curve of the optical image capturing system in the order from left to right according to the third embodiment of the present application, and  FIG. 3C  is a TV distortion grid of the optical image capturing system according to the third embodiment of the present application. As shown in  FIG. 3A , sequentially arranged from an object side to an image side, the optical image capturing system includes first lens element  310 , an aperture stop  300 , a second lens element  320 , a third lens element  330 , a fourth lens element  340 , an IR filter  370 , an image plane  380 , and an image sensing device  390 . 
     The first lens element  310  has positive refractive power and it is made of plastic material. The first lens element  310  has a convex object-side surface  312  and a convex image-side surface  314 , both of the object-side surface  312  and the image-side surface  314  are aspheric, and the object-side surface  312  has one inflection point. 
     The second lens element  320  has negative refractive power and it is made of plastic material. The second lens element  320  has a convex object-side surface  322  and a concave image-side surface  324 , and both of the object-side surface  322  and the image-side surface  324  are aspheric. The object-side surface  322  has four inflection points and the image-side surface  324  has three inflection points. 
     The third lens element  330  has positive 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 ; both of the object-side surface  332  and the image-side surface  334  are aspheric. The object-side surface  332  has four inflection points and image-side surface  334  has one inflection point. 
     The fourth lens element  340  has negative refractive power and it is made of plastic material. The fourth lens element  340  has a convex object-side surface  342  and a concave image-side surface  344 ; both of the object-side surface  342  and the image-side surface  344  are aspheric and have one inflection point. 
     The IR filter  370  is made of glass material without affecting the focal length of the optical image capturing system and it is disposed between the fourth lens element  340  and the image plane  380 . 
     In the third embodiment of the optical image capturing system, focal lengths of the second lens element  320 , the third lens element  330 , and the fourth lens element  340  are f 2 , f 3  and f 4  respectively. The following relation is satisfied: |f 2 |+|f 3 |=1.3581 mm, |f 1 |+|f 4 |=9.7876 mm, and |f 2 +f 3 |&gt;|f 4 |. 
     In the third embodiment of the optical image capturing system, a central thickness of the third lens element  330  on the optical axis is TP 3 . A central thickness of the fourth lens element  340  on the optical axis is TP 4 . The following relation is satisfied: TP 3 =0.395 mm and TP 4 =0.573 mm. 
     In the third embodiment of the optical image capturing system, a sum of all the lens elements having positive refractive power is ΣPP, and following relation is satisfied: ΣPP=f 1 +f 3 . Hereby, it&#39;s favorable for allocating the positive refractive power of the first lens element  310  to others positive lens elements and the significant aberrations generated in the process of moving the incident light can be suppressed. 
     In the third embodiment of the optical image capturing system, a sum of all the lens elements having negative refractive power is ΣNP, and following relation is satisfied: ΣNP=f 2 +f 4 . Hereby, it&#39;s favorable for allocating the negative refractive power of the fourth lens element  340  to others negative lens elements and the significant aberrations generated in the process of moving the incident light can be suppressed. 
     Please refer to the following Table 5 and Table 6. 
     The detailed data of the optical image capturing system of the third embodiment is as shown in Table 5. 
     
       
         
           
               
             
               
                 TABLE 5 
               
             
            
               
                   
               
               
                 Third Embodiment 
               
               
                 f = 2.325 mm, f/HEP = 1.8, HAF = 44.040 deg, tan(HAF) = 0.9670 
               
            
           
           
               
               
               
               
               
               
               
            
               
                   
                   
                   
                   
                   
                   
                 Focal 
               
               
                 Surface# 
                 Curvature Radius 
                 Thickness 
                 Material 
                 Index 
                 Abbe # 
                 length 
               
               
                   
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                 0 
                 Object 
                 Plano 
                 6000 
                   
                   
                   
                   
               
               
                 1 
                 Ape. stop 
                 Plano 
                 −0.04799 
                   
                   
                   
                   
               
               
                 2 
                 Lens 1 
                 1.68806 
                 0.63764 
                 Plastic 
                 1.544 
                 56.09 
                 2.978 
               
               
                 3 
                   
                 −37.93145 
                 0.20745 
                   
                   
                   
                   
               
               
                 4 
                 Lens 2 
                 37.98010 
                 0.20339 
                 Plastic 
                 1.642 
                 22.46 
                 −8.437 
               
               
                 5 
                   
                 4.76699 
                 0.16198 
                   
                   
                   
                   
               
               
                 6 
                 Lens 3 
                 −0.94948 
                 0.39462 
                 Plastic 
                 1.544 
                 56.09 
                 2.921 
               
               
                 7 
                   
                 −0.68242 
                 0.02500 
                   
                   
                   
                   
               
               
                 8 
                 Lens 4 
                 1.46476 
                 0.57257 
                 Plastic 
                 1.544 
                 56.09 
                 −6.810 
               
               
                 9 
                   
                 0.90570 
                 0.28828 
                   
                   
                   
                   
               
               
                 10 
                 IR filter 
                 Plano 
                 0.22000 
                 BK7 —   
                 1.517 
                 64.13 
                   
               
               
                   
                   
                   
                   
                 SCHOTT 
                   
                   
                   
               
               
                 11 
                   
                 Plano 
                 0.67999 
                   
                   
                   
                   
               
               
                 12 
                 Image plane 
                 Plano 
               
               
                   
               
               
                 Reference wavelength (d-line) = 555 nm, shield position: clear aperture (CA) of the third plano = 0.82 mm, clear aperture (CA) of the sixth plano = 0.92 
               
            
           
         
       
     
     As for the parameters of the aspheric surfaces of the third embodiment, reference is made to Table 6. 
     
       
         
           
               
             
               
                 TABLE 6 
               
               
                   
               
               
                 Aspheric Coefficients 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
               
            
               
                 Surface # 
                 2 
                 3 
                 4 
                 5 
                 6 
                 7 
               
               
                   
               
               
                 k = 
                 −3.425515E+01  
                 −5.223000E−11 
                 0.000000E+00 
                 −1.912480E−01 
                 −9.247001E−02  
                 −5.289811E+00 
               
               
                 A4 = 
                 7.257719E−01 
                 −6.178485E−01 
                 −1.614845E+00  
                 −1.271938E+00 
                 1.561938E−01 
                 −1.169554E+00 
               
               
                 A6 = 
                 −2.910023E+00  
                  1.974362E+00 
                 7.960499E+00 
                  8.648249E+00 
                 8.279597E+00 
                  5.036631E+00 
               
               
                 A8 = 
                 7.983636E+00 
                 −1.184693E+01 
                 −6.078987E+01  
                 −3.887624E+01 
                 −3.279096E+01  
                 −1.205612E+01 
               
               
                 A10 = 
                 −1.520310E+01  
                  3.474212E+01 
                 2.337090E+02 
                  9.228729E+01 
                 6.006395E+01 
                  1.525972E+01 
               
               
                 A12 = 
                 1.678319E+01 
                 −4.821522E+01 
                 −4.392183E+02  
                 −1.161396E+02 
                 −6.016423E+01  
                  5.602726E+00 
               
               
                 A14 = 
                 −9.669524E+00  
                  2.702001E+01 
                 4.015331E+02 
                  7.457293E+01 
                 3.381283E+01 
                 −5.549215E+01 
               
               
                 A16 = 
                 0.000000E+00 
                 −2.646460E+00 
                 −1.436587E+02  
                 −1.953453E+01 
                 −8.683174E+00  
                  8.417923E+01 
               
               
                 A18 = 
                 0.000000E+00 
                  0.000000E+00 
                 0.000000E+00 
                  0.000000E+00 
                 0.000000E+00 
                 −5.397398E+01 
               
               
                 A20 = 
                 0.000000E+00 
                  0.000000E+00 
                 0.000000E+00 
                  0.000000E+00 
                 0.000000E+00 
                  1.264502E+01 
               
               
                   
               
            
           
           
               
               
               
               
            
               
                   
                 Surface # 
                 8 
                 9 
               
               
                   
               
               
                   
                 k = 
                  0.000000E+00 
                 −3.909467E+00 
               
               
                   
                 A4 = 
                 −1.097009E−01 
                 −2.851778E−01 
               
               
                   
                 A6 = 
                 −1.137933E+00 
                  4.816995E−01 
               
               
                   
                 A8 = 
                  3.525612E+00 
                 −7.313012E−01 
               
               
                   
                 A10 = 
                 −6.538483E+00 
                  7.594586E−01 
               
               
                   
                 A12 = 
                  7.658330E+00 
                 −5.319986E−01 
               
               
                   
                 A14 = 
                 −5.707272E+00 
                  2.453402E−01 
               
               
                   
                 A16 = 
                  2.616814E+00 
                 −7.095585E−02 
               
               
                   
                 A18 = 
                 −6.692867E−01 
                  1.160519E−02 
               
               
                   
                 A20 = 
                  7.262810E−02 
                 −8.164472E−04 
               
               
                   
               
            
           
         
       
     
     In the third embodiment, the presentation of the aspheric surface formula is similar to that in the first embodiment. Besides, the definitions of parameters in following tables are equal to those in the first embodiment, so the repetitious details need not be given here. 
     The following content may be deduced from Table 5 and Table 6. 
     
       
         
           
               
             
               
                   
               
               
                 Third embodiment (Primary reference wavelength: 555 nm) 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 InRS41 
                 InRS42 
                 HVT41 
                 HVT42 
                 |ODT|% 
                 |TDT|% 
               
               
                   
               
               
                 0.02958 
                 0.06807 
                 0.84448 
                 1.12732 
                 0.86895 
                 0.34813 
               
               
                   
               
               
                 |f/f1| 
                 |f/f2| 
                 |f/f3| 
                 |f/f4| 
                 |f1/f2| 
                 |f2/f3| 
               
               
                   
               
               
                 0.78086 
                 0.27557 
                 0.79607 
                 0.34142 
                 0.35290 
                 2.88884 
               
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                   
                   
                   
                   
                   
                 (TP2 + 
               
               
                   
                   
                 ΣPPR/ 
                 (TP1 + IN12)/ 
                 (TP4 + IN34)/ 
                 TP3)/ 
               
               
                 ΣPPR 
                 ΣNPR 
                 |ΣNPR| 
                 TP2 
                 TP3 
                 ΣTP 
               
               
                   
               
               
                 1.57693 
                 0.61699 
                 2.55586 
                 4.15495 
                 1.51428 
                 0.33072 
               
               
                   
               
            
           
           
               
               
               
               
               
            
               
                 ΣPP 
                 ΣNP 
                 f1/ΣPP 
                 f4/ΣNP 
                 IN12/f 
               
               
                   
               
               
                 5.89826 
                 −15.24740 
                 0.50482 
                 0.44663 
                 0.08922 
               
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                   
                   
                   
                   
                 InTL/ 
                   
               
               
                 InTL 
                 HOS 
                 HOS/HOI 
                 InS/HOS 
                 HOS 
                 ΣTP/InTL 
               
               
                   
               
               
                 2.20265 
                 3.39092 
                 1.49511 
                 0.98585 
                 0.64957 
                 0.82093 
               
               
                   
               
            
           
           
               
               
               
               
            
               
                 |InRS41|/TP4 
                 |InRS42|/TP4 
                 HVT42/HOI 
                 HVT42/HOS 
               
               
                   
               
               
                 0.05166 
                 0.11889 
                 0.49705 
                 0.33245 
               
               
                   
               
            
           
         
       
     
     The following content may be deduced from Table 5 and Table 6. 
     
       
         
           
               
             
               
                   
               
               
                 Related inflection point values of third embodiment (Primary reference wavelength: 555 nm) 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                 HIF111 
                 0.53416 
                 HIF111/HOI 
                 0.23552 
                 SGI111 
                 0.07808 
                 |SGI111|/(|SGI111| + TP1) 
                 0.10910 
               
               
                 HIF211 
                 0.03719 
                 HIF211/HOI 
                 0.01640 
                 SGI211 
                 0.00002 
                 |SGI211|/(|SGI211| + TP2) 
                 0.00007 
               
               
                 HIF212 
                 0.60337 
                 HIF212/HOI 
                 0.26604 
                 SGI212 
                 −0.12496 
                 |SGI212|/(|SGI212| + TP2) 
                 0.38056 
               
               
                 HIF213 
                 0.68664 
                 HIF213/HOI 
                 0.30275 
                 SGI213 
                 −0.17326 
                 |SGI213|/(|SGI213| + TP2) 
                 0.45999 
               
               
                 HIF214 
                 0.73931 
                 HIF214/HOI 
                 0.32597 
                 SGI214 
                 −0.20360 
                 |SGI214|/(|SGI214| + TP2) 
                 0.50025 
               
               
                 HIF221 
                 0.13771 
                 HIF221/HOI 
                 0.06072 
                 SGI221 
                 0.00159 
                 |SGI221|/(|SGI221| + TP2) 
                 0.00774 
               
               
                 HIF222 
                 0.64356 
                 HIF222/HOI 
                 0.28376 
                 SGI222 
                 −0.02662 
                 |SGI222|/(|SGI222| + TP2) 
                 0.11575 
               
               
                 HIF223 
                 0.79680 
                 HIF223/HOI 
                 0.35132 
                 SGI223 
                 −0.05027 
                 |SGI223|/(|SGI223| + TP2) 
                 0.19818 
               
               
                 HIF311 
                 0.30773 
                 HIF311/HOI 
                 0.13568 
                 SGI311 
                 −0.04491 
                 |SGI311|/(||SGI311| + TP3) 
                 0.10217 
               
               
                 HIF312 
                 0.55378 
                 HIF312/HOI 
                 0.24417 
                 SGI312 
                 −0.09208 
                 |SGI312|/(|SGI312| + TP3) 
                 0.18920 
               
               
                 HIF313 
                 0.70413 
                 HIF313/HOI 
                 0.31046 
                 SGI313 
                 −0.11661 
                 |SGI313|/(|SGI313| + TP3) 
                 0.22809 
               
               
                 HIF314 
                 0.87229 
                 HIF314/HOI 
                 0.38461 
                 SGI314 
                 −0.13291 
                 ||SGI314|/(|SGI314| + TP3) 
                 0.25195 
               
               
                 HIF321 
                 0.56416 
                 HIF321/HOI 
                 0.24875 
                 SGI321 
                 −0.19166 
                 |SGI321|/(|SGI321| + TP3) 
                 0.32691 
               
               
                 HIF411 
                 0.46996 
                 HIF411/HOI 
                 0.20721 
                 SGI411 
                 0.06554 
                 |SGI411|/(|SGI411| + TP4) 
                 0.10271 
               
               
                 HIF421 
                 0.52205 
                 HIF421/HOI 
                 0.23018 
                 SGI421 
                 0.11074 
                 |SGI421|/(|SGI421| + TP4) 
                 0.16207 
               
               
                   
               
            
           
         
       
     
     The Fourth Embodiment (Embodiment 4) 
     Please refer to  FIG. 4A ,  FIG. 4B , and  FIG. 4C ,  FIG. 4A  is a schematic view of the optical image capturing system according to the fourth embodiment of the present application,  FIG. 4B  is longitudinal spherical aberration curves, astigmatic field curves, and an optical distortion curve of the optical image capturing system in the order from left to right according to the fourth embodiment of the present application, and  FIG. 4C  is a TV distortion grid of the optical image capturing system according to the fourth embodiment of the present application. As shown in  FIG. 4A , sequentially arranged from an object side to an image side, the optical image capturing system includes a first lens element  410 , an aperture stop  400 , a second lens element  420 , a third lens element  430 , a fourth lens element  440 , an IR filter  470 , an image plane  480 , and an image sensing device  490 . 
     The first lens element  410  has positive refractive power and it is made of plastic material. The first lens element  410  has a convex object-side surface  412  and a convex image-side surface  414 , and both of the object-side surface  412  and the image-side surface  414  are aspheric. The object-side surface  412  has one inflection point. 
     The second lens element  420  has negative refractive power and it is made of plastic material. The second lens element  420  has a convex object-side surface  422  and a concave image-side surface  424 , and both of the object-side surface  422  and the image-side surface  424  are aspheric. The object-side surface  422  has four inflection points and the image-side surface  424  has three inflection points. 
     The third lens element  430  has positive refractive power and it is made of plastic material. The third lens element  430  has a concave object-side surface  432  and a convex image-side surface  434 ; both of the object-side surface  432  and the image-side surface  434  are aspheric. The object-side surface  432  has two inflection points and the image-side surface  434  has one inflection point. 
     The fourth lens element  440  has negative refractive power and it is made of plastic material. The fourth lens element  440  has a convex object-side surface  442  and a concave image-side surface  444 ; both of the object-side surface  442  and the image-side surface  444  are aspheric. The object-side surface  442  has two inflection points and the image-side surface  444  has one inflection point. 
     The IR filter  470  is made of glass material without affecting the focal length of the optical image capturing system and it is disposed between the fourth lens element  440  and the image plane  480 . 
     In the fourth embodiment of the optical image capturing system, focal lengths of the second lens element  420 , the third lens element  430  and the fourth lens element  440  are  12 , f 3  and f 4  respectively. The following relation is satisfied: |f 2 |+|f 3 |=15.8145 mm, |f 1 |+|f 4 |=8.9899 mm and |f 2 |+|f 3 |&gt;|f 1 |+|f 4 |. 
     In the fourth embodiment of the optical image capturing system, a central thickness of the third lens element  430  on the optical axis is TP 3 . A central thickness of the fourth lens element  440  on the optical axis is TP 4 . The following relation is satisfied: TP 3 =0.423 mm and TP 4 =0.571 mm. 
     In the fourth embodiment of the optical image capturing system, 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 . Hereby it&#39;s favorable for allocating the positive refractive power of the first lens element  410  to others positive lens elements and the significant aberrations generated in the process of moving the incident light can be suppressed. 
     In the fourth embodiment of the optical image capturing system, 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 . Hereby, it&#39;s favorable for allocating the negative refractive power of the fourth lens element  440  to others negative lens elements. 
     Please refer to the following Table 7 and Table 8. 
     The detailed data of the optical image capturing system of the fourth embodiment is as shown in Table 7. 
     
       
         
           
               
             
               
                 TABLE 7 
               
             
            
               
                   
               
               
                 Data of the optical image capturing system 
               
               
                 f = 2.325 mm, f/HEP = 2.0, HAF = 44.068 deg, tan(HAF) = 0.9680 
               
            
           
           
               
               
               
               
               
               
               
            
               
                   
                   
                   
                   
                   
                   
                 Focal 
               
               
                 Surface # 
                 Curvature Radius 
                 Thickness 
                 Material 
                 Index 
                 Abbe # 
                 length 
               
               
                   
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                 0 
                 Object 
                 Plano 
                 6000 
                   
                   
                   
                   
               
               
                 1 
                 Ape. stop 
                 Plano 
                 −0.04798 
                   
                   
                   
                   
               
               
                 2 
                 Lens 1 
                 1.65762 
                 0.60657 
                 Plastic 
                 1.544 
                 56.09 
                 2.926 
               
               
                 3 
                   
                 −37.99993 
                 0.22443 
                   
                   
                   
                   
               
               
                 4 
                 Lens 2 
                 11.47068 
                 0.18046 
                 Plastic 
                 1.642 
                 22.46 
                 −12.679 
               
               
                 5 
                   
                 4.75599 
                 0.15882 
                   
                   
                   
                   
               
               
                 6 
                 Lens 3 
                 −0.94962 
                 0.42324 
                 Plastic 
                 1.544 
                 56.09 
                 3.135 
               
               
                 7 
                   
                 −0.70687 
                 0.02500 
                   
                   
                   
                   
               
               
                 8 
                 Lens 4 
                 1.51309 
                 0.57126 
                 Plastic 
                 1.544 
                 56.09 
                 −6.064 
               
               
                 9 
                   
                 0.90000 
                 0.25806 
                   
                   
                   
                   
               
               
                 10 
                 IR filter 
                 Plano 
                 0.22000 
                 BK7 —   
                 1.517 
                 64.13 
                   
               
               
                   
                   
                   
                   
                 SCHOTT 
                   
                   
                   
               
               
                 11 
                   
                 Plano 
                 0.67999 
                   
                   
                   
                   
               
               
                 12 
                 Image Plane 
                 Plano 
               
               
                   
               
               
                 Reference wavelength (d-line) = 555 nm 
               
            
           
         
       
     
     As for the parameters of the aspheric surfaces of the fourth embodiment, reference is made to Table 8. 
     
       
         
           
               
             
               
                 TABLE 8 
               
               
                   
               
               
                 Aspheric Coefficients 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
               
            
               
                 Surface # 
                 2 
                 3 
                 4 
                 5 
                 6 
                 7 
               
               
                   
               
               
                 k = 
                 8.302854E−01 
                 4.881834E+01 
                 0.000000E+00 
                 −1.912480E−01  
                 0.000000E+00 
                 −3.823090E+00 
               
               
                 A4 = 
                 −1.765227E−01  
                 −5.806911E−01  
                 −1.071184E+00  
                 −3.020078E−01  
                 1.096976E+00 
                 −4.996979E−01 
               
               
                 A6 = 
                 9.834476E−01 
                 2.011327E+00 
                 1.832236E+00 
                 9.194236E−02 
                 −3.435160E−01  
                  3.961761E−01 
               
               
                 A8 = 
                 −6.643524E+00  
                 −1.272646E+01  
                 −2.322934E+01  
                 −3.651488E+00  
                 −1.571292E+00  
                 −7.786261E−02 
               
               
                 A10 = 
                 1.799700E+01 
                 3.873696E+01 
                 9.778167E+01 
                 1.355828E+01 
                 2.444153E+00 
                  6.491055E+00 
               
               
                 A12 = 
                 −1.945207E+01  
                 −5.406364E+01  
                 −1.531875E+02  
                 −1.595777E+01  
                 −6.334892E−01  
                 −2.860788E+01 
               
               
                 A14 = 
                 0.000000E+00 
                 2.684134E+01 
                 8.257803E+01 
                 6.015506E+00 
                 −4.743407E−02  
                  6.485186E+01 
               
               
                 A16 = 
                 0.000000E+00 
                 0.000000E+00 
                 0.000000E+00 
                 0.000000E+00 
                 0.000000E+00 
                 −8.789851E+01 
               
               
                 A18 = 
                 0.000000E+00 
                 0.000000E+00 
                 0.000000E+00 
                 0.000000E+00 
                 0.000000E+00 
                  6.570013E+01 
               
               
                 A20 = 
                 0.000000E+00 
                 0.000000E+00 
                 0.000000E+00 
                 0.000000E+00 
                 0.000000E+00 
                 −2.031346E+01 
               
               
                   
               
            
           
           
               
               
               
               
            
               
                   
                 Surface # 
                 8 
                 9 
               
               
                   
               
               
                   
                 k = 
                  0.000000E+00 
                 −3.580216E+00 
               
               
                   
                 A4 = 
                 −2.299544E−01 
                 −3.274147E−01 
               
               
                   
                 A6 = 
                 −1.682606E+00 
                  2.892954E−01 
               
               
                   
                 A8 = 
                  6.232887E+00 
                 −1.179757E−01 
               
               
                   
                 A10 = 
                 −1.184832E+01 
                 −6.171716E−02 
               
               
                   
                 A12 = 
                  1.360466E+01 
                  9.763648E−02 
               
               
                   
                 A14 = 
                 −9.704043E+00 
                 −4.829427E−02 
               
               
                   
                 A16 = 
                  4.168711E+00 
                  1.112743E−02 
               
               
                   
                 A18 = 
                 −9.773318E−01 
                 −1.011352E−03 
               
               
                   
                 A20 = 
                  9.490940E−02 
                  0.000000E+00 
               
               
                   
               
            
           
         
       
     
     In the fourth embodiment, the presentation of the aspheric surface formula is similar to that in the first embodiment. Besides, the definitions of parameters in following tables are equal to those in the first embodiment, so the repetitious details need not be given here. 
     The following content may be deduced from Table 7 and Table 8. 
     
       
         
           
               
             
               
                   
               
               
                 Fourth embodiment (Primary reference wavelength: 555 nm) 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 InRS41 
                 InRS42 
                 HVT41 
                 HVT42 
                 |ODT|% 
                 |TDT|% 
               
               
                   
               
               
                 −0.08447 
                 −0.11004 
                 0.72924 
                 1.07209 
                 1.00315 
                 0.40168 
               
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 |f/f1| 
                 |f/f2| 
                 |f/f3| 
                 |f/f4| 
                 |f1/f2| 
                 |f2/f3| 
               
               
                   
               
               
                 0.79468 
                 0.18336 
                 0.74149 
                 0.38337 
                 0.23074 
                 4.04389 
               
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                   
                   
                   
                   
                   
                 (TP2 + 
               
               
                   
                   
                 ΣPPR/ 
                 (TP1 + IN12)/ 
                 (TP4 + IN34)/ 
                 TP3)/ 
               
               
                 ΣPPR 
                 ΣNPR 
                 |ΣNPR| 
                 TP2 
                 TP3 
                 ΣTP 
               
               
                   
               
               
                 1.53618 
                 0.56673 
                 2.71061 
                 4.60500 
                 1.40881 
                 0.33886 
               
               
                   
               
            
           
           
               
               
               
               
               
            
               
                 ΣPP 
                 ΣNP 
                 f1/ΣPP 
                 f4/ΣNP 
                 IN12/f 
               
               
                   
               
               
                 6.06089 
                 −18.74344 
                 0.48269 
                 0.32354 
                 0.09654 
               
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                   
                   
                   
                   
                 InTL/ 
                   
               
               
                 InTL 
                 HOS 
                 HOS/HOI 
                 InS/HOS 
                 HOS 
                 ΣTP/InTL 
               
               
                   
               
               
                 2.18978 
                 3.34783 
                 1.47612 
                 0.98567 
                 0.65409 
                 0.81357 
               
               
                   
               
            
           
           
               
               
               
               
            
               
                 |InRS41|/TP4 
                 |InRS42|/TP4 
                 HVT42/HOI 
                 HVT42/HOS 
               
               
                   
               
               
                 0.14786 
                 0.19262 
                 0.47270 
                 0.32023 
               
               
                   
               
            
           
         
       
     
     The following content may be deduced from Table 7 and Table 8. 
     
       
         
           
               
             
               
                   
               
               
                 Related inflection point values of fourth embodiment (Primary reference wavelength: 555 nm) 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                 HIF111 
                 0.51852 
                 HIF111/HOI 
                 0.22862 
                 SGI111 
                 0.07467 
                 |SGI111|/(|SGI111| + TP1) 
                 0.10961 
               
               
                 HIF211 
                 0.08339 
                 HIF211/HOI 
                 0.03677 
                 SGI211 
                 0.00025 
                 |SGI211|/(|SGI211| + TP2) 
                 0.00139 
               
               
                 HIF212 
                 0.58955 
                 HIF212/HOI 
                 0.25994 
                 SGI212 
                 −0.09980 
                 |SGI212|/(|SGI212| + TP2) 
                 0.35610 
               
               
                 HIF213 
                 0.65180 
                 HIF213/HOI 
                 0.28739 
                 SGI213 
                 −0.13219 
                 |SGI213|/(|SGI213| + TP2) 
                 0.42280 
               
               
                 HIF214 
                 0.77230 
                 HIF214/HOI 
                 0.34052 
                 SGI214 
                 −0.20448 
                 |SGI214|/(|SGI214| + TP2) 
                 0.53120 
               
               
                 HIF221 
                 0.23258 
                 HIF221/HOI 
                 0.10255 
                 SGI221 
                 0.00480 
                 |SGI221|/(|SGI221| + TP2) 
                 0.02588 
               
               
                 HIF222 
                 0.61119 
                 HIF222/HOI 
                 0.26948 
                 SGI222 
                 −0.00768 
                 |SGI222|/(|SGI222| + TP2) 
                 0.04083 
               
               
                 HIF223 
                 0.78283 
                 HIF223/HOI 
                 0.34516 
                 SGI223 
                 −0.02059 
                 |SGI223|/(|SGI223| + TP2) 
                 0.10242 
               
               
                 HIF311 
                 0.34196 
                 HIF311/HOI 
                 0.15078 
                 SGI311 
                 −0.04950 
                 |SGI311|/(|SGI311| + TP3) 
                 0.10471 
               
               
                 HIF312 
                 0.86546 
                 HIF312/HOI 
                 0.38160 
                 SGI312 
                 −0.12418 
                 |SGI312|/(|SGI312| + TP3) 
                 0.22684 
               
               
                 HIF321 
                 0.60763 
                 HIF321/HOI 
                 0.26792 
                 SGI321 
                 −0.22931 
                 |SGI321|/(|SGI321| + TP3) 
                 0.35141 
               
               
                 HIF411 
                 0.36937 
                 HIF411/HOI 
                 0.16286 
                 SGI411 
                 0.03890 
                 |SGI411|/(|SGI411| + TP4) 
                 0.06376 
               
               
                 HIF412 
                 1.19925 
                 HIF412/HOI 
                 0.52877 
                 SGI412 
                 −0.07039 
                 |SGI412|/(|SGI412| + TP4) 
                 0.10970 
               
               
                 HIF421 
                 0.46052 
                 HIF421/HOI 
                 0.20305 
                 SGI421 
                 0.09048 
                 |SGI421|/(|SGI421| + TP4) 
                 0.13673 
               
               
                   
               
            
           
         
       
     
     The Fifth Embodiment (Embodiment 5) 
     Please refer to  FIG. 5A ,  FIG. 5B , and  FIG. 5C ,  FIG. 5A  is a schematic view of the optical image capturing system according to the fifth embodiment of the present application,  FIG. 5B  is longitudinal spherical aberration curves, astigmatic field curves, and an optical distortion curve of the optical image capturing system in the order from left to right according to the fifth embodiment of the present application, and  FIG. 5C  is a TV distortion grid of the optical image capturing system according to the fifth embodiment of the present application. As shown in  FIG. 5A , sequentially arranged from an object side to an image side, the optical image capturing system includes a first lens element  510 , an aperture stop  500 , a second lens element  520 , a third lens element  530 , a fourth lens element  540 , an IR filter  570 , an image plane  580 , and an image sensing device  590 . 
     The first lens element  510  has positive refractive power and it is made of plastic material. The first lens element  510  has a convex object-side surface  512  and a convex image-side surface  514 , both of the object-side surface  512  and the image-side surface  514  are aspheric, and the object-side surface  512  has one inflection point. 
     The second lens element  520  has negative refractive power and it is made of plastic material. The second lens element  520  has a convex object-side surface  522  and a concave image-side surface  524 , both of the object-side surface  522  and the image-side surface  524  are aspheric, and the object-side surface  522  has four inflection points and the image-side surface  524  has three inflection points. 
     The third lens element  530  has positive refractive power and it is made of plastic material. The third lens element  530  has a concave object-side surface  532  and a convex image-side surface  534 , both of the object-side surface  532  and the image-side surface  534  are aspheric, and the object-side surface  532  has two inflection points and the image-side surface  534  has one inflection point. 
     The fourth lens element  540  has negative refractive power and it is made of plastic material. The fourth lens element  540  has a convex object-side surface  542  and a concave image-side surface  544 , both of the object-side surface  542  and the image-side surface  544  are aspheric, and the object-side surface  542  has two inflection points and the image-side surface  524  has one inflection point. 
     The IR filter  570  is made of glass material without affecting the focal length of the optical image capturing system and it is disposed between the fourth lens element  540  and the image plane  580 . 
     In the fifth embodiment of the optical image capturing system, focal lengths of the second lens element  520 , the third lens element  530 , and the fourth lens element  540  are f 2 , f 3 , and f 4 , respectively. The following relation is satisfied: |f 2 |+|f 3 |=20.5420 mm, |f 1 |+|f 4 |=11.2855 mm, and |f 2 |+|f 3 |&gt;|f 1 |+|f 4 |. 
     In the fifth embodiment of the optical image capturing system, a central thickness of the third lens element  530  on the optical axis is TP 3 . A central thickness of the fourth lens element  540  on the optical axis is TP 4 . The following relation is satisfied: TP 3 =0.433 mm and TP 4 =0.574 mm. 
     In the fifth embodiment of the optical image capturing system, 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 . Hereby, it&#39;s favorable for allocating the positive refractive power of the first lens element  510  to others positive lens elements and the significant aberrations generated in the process of moving the incident light can be suppressed. 
     In the fifth embodiment of the optical image capturing system, 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 . Hereby, it&#39;s favorable for allocating the negative refractive power of the fourth lens element  540  to others negative lens elements. 
     Please refer to the following Table 9 and Table 10. 
     The detailed data of the optical image capturing system of the fifth embodiment is as shown in Table 9. 
     
       
         
           
               
             
               
                 TABLE 9 
               
             
            
               
                   
               
               
                 Data of the optical image capturing system 
               
               
                 f = 2.325 mm, f/HEP = 2.2, HAF = 44.070 deg, tan(HAF) = 0.9681 
               
            
           
           
               
               
               
               
               
               
               
            
               
                   
                   
                   
                   
                   
                   
                 Focal 
               
               
                 Surface # 
                 Curvature Radius 
                 Thickness 
                 Material 
                 Index 
                 Abbe # 
                 length 
               
               
                   
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                 0 
                 Object 
                 Plano 
                 6000 
                   
                   
                   
                   
               
               
                 1 
                 Ape. stop 
                 Plano 
                 −0.02140 
                   
                   
                   
                   
               
               
                 2 
                 Lens 1 
                 1.67084 
                 0.44308 
                 Plastic 
                 1.544 
                 56.09 
                 2.860 
               
               
                 3 
                   
                 −21.58531 
                 0.28278 
                   
                   
                   
                   
               
               
                 4 
                 Lens 2 
                 24.06972 
                 0.18000 
                 Plastic 
                 1.642 
                 22.46 
                 −16.536 
               
               
                 5 
                   
                 7.38982 
                 0.14956 
                   
                   
                   
                   
               
               
                 6 
                 Lens 3 
                 −0.92975 
                 0.43291 
                 Plastic 
                 1.544 
                 56.09 
                 4.006 
               
               
                 7 
                   
                 −0.75964 
                 0.04596 
                   
                   
                   
                   
               
               
                 8 
                 Lens 4 
                 1.38293 
                 0.57352 
                 Plastic 
                 1.544 
                 56.09 
                 −8.425 
               
               
                 9 
                   
                 0.90752 
                 0.27054 
                   
                   
                   
                   
               
               
                 10 
                 IR filter 
                 Plano 
                 0.22000 
                 BK_7 
                 1.517 
                 64.13 
                   
               
               
                 11 
                   
                 Plano 
                 0.68 
                   
                   
                   
                   
               
               
                 12 
                 Image plane 
                 Plano 
               
               
                   
               
               
                 Reference wavelength (d-line) = 555 nm 
               
            
           
         
       
     
     As for the parameters of the aspheric surfaces of the fifth embodiment, reference is made to Table 10. 
     
       
         
           
               
             
               
                 TABLE 10 
               
               
                   
               
               
                 Aspheric Coefficients 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
               
            
               
                 Surface # 
                 2 
                 3 
                 4 
                 5 
                 6 
                 7 
               
               
                   
               
               
                 k = 
                 −2.411150E+01  
                 −8.970000E−12  
                 0.000000E+00 
                 −1.912480E−01  
                 −4.292494E−03  
                 −4.483884E+00 
               
               
                 A4 = 
                 4.241619E−01 
                 −5.072498E−01  
                 −9.982605E−01  
                 −3.949005E−01  
                 9.883008E−01 
                 −5.760551E−01 
               
               
                 A6 = 
                 −9.931369E−01  
                 1.449952E+00 
                 3.059330E+00 
                 3.194517E+00 
                 3.519829E+00 
                  2.444129E+00 
               
               
                 A8 = 
                 −3.155556E+00  
                 −1.140515E+01  
                 −3.295404E+01  
                 −1.979587E+01  
                 −1.942998E+01  
                 −1.253424E+01 
               
               
                 A10 = 
                 1.819523E+01 
                 3.723216E+01 
                 1.320933E+02 
                 5.053033E+01 
                 3.835298E+01 
                  5.190505E+01 
               
               
                 A12 = 
                 −2.916756E+01  
                 −5.399625E+01  
                 −2.089202E+02  
                 −5.480010E+01  
                 −3.437227E+01  
                 −1.369031E+02 
               
               
                 A14 = 
                 0.000000E+00 
                 2.453947E+01 
                 1.165926E+02 
                 2.135825E+01 
                 1.222138E+01 
                  2.285430E+02 
               
               
                 A16 = 
                 0.000000E+00 
                 0.000000E+00 
                 0.000000E+00 
                 0.000000E+00 
                 0.000000E+00 
                 −2.374043E+02 
               
               
                 A18 = 
                 0.000000E+00 
                 0.000000E+00 
                 0.000000E+00 
                 0.000000E+00 
                 0.000000E+00 
                  1.409133E+02 
               
               
                 A20 = 
                 0.000000E+00 
                 0.000000E+00 
                 0.000000E+00 
                 0.000000E+00 
                 0.000000E+00 
                 −3.635935E+01 
               
               
                   
               
            
           
           
               
               
               
               
            
               
                   
                 Surface # 
                 8 
                 9 
               
               
                   
               
               
                   
                 k = 
                  0.000000E+00 
                 −2.434696E+00 
               
               
                   
                 A4 = 
                 −1.684271E−01 
                 −3.714594E−01 
               
               
                   
                 A6 = 
                 −1.614884E+00 
                  2.693021E−01 
               
               
                   
                 A8 = 
                  4.595513E+00 
                 −6.317155E−02 
               
               
                   
                 A10 = 
                 −6.918888E+00 
                 −1.047034E−01 
               
               
                   
                 A12 = 
                  5.736184E+00 
                  1.157767E−01 
               
               
                   
                 A14 = 
                 −2.081947E+00 
                 −5.269062E−02 
               
               
                   
                 A16 = 
                 −3.279818E−01 
                  1.170667E−02 
               
               
                   
                 A18 = 
                  5.082399E−01 
                 −1.044706E−03 
               
               
                   
                 A20 = 
                 −1.152344E−01 
                  0.000000E+00 
               
               
                   
               
            
           
         
       
     
     In the fifth embodiment, the presentation of the aspheric surface formula is similar to that in the first embodiment. Besides, the definitions of parameters in following tables are equal to those in the first embodiment, so the repetitious details need not be given here. 
     The following content may be deduced from Table 9 and Table 10. 
     
       
         
           
               
             
               
                   
               
               
                 Fifth embodiment (Primary reference wavelength: 555 nm) 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 InRS41 
                 InRS42 
                 HVT41 
                 HVT42 
                 |ODT|% 
                 |TDT|% 
               
               
                   
               
               
                 −0.07774 
                 −0.07824 
                 0.73176 
                 1.06511 
                 1.00896 
                 0.39163 
               
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 |f/f1| 
                 |f/f2| 
                 |f/f3| 
                 |f/f4| 
                 |f1/f2| 
                 |f2/f3| 
               
               
                   
               
               
                 0.81283 
                 0.14059 
                 0.58034 
                 0.27594 
                 0.17297 
                 4.12781 
               
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                   
                   
                   
                 (TP1 + 
                   
                   
               
               
                   
                   
                 ΣPPR/ 
                 IN12)/ 
                 (TP4 + IN34)/ 
               
               
                 ΣPPR 
                 ΣNPR 
                 |ΣNPR| 
                 TP2 
                 TP3 
                 (TP2 + TP3)/ΣTP 
               
               
                   
               
               
                 1.39317 
                 0.41653 
                 3.34470 
                 4.03257 
                 1.43095 
                 0.37613 
               
               
                   
               
            
           
           
               
               
               
               
               
            
               
                 ΣPP 
                 ΣNP 
                 f1/ΣPP 
                 f4/ΣNP 
                 IN12/f 
               
               
                   
               
               
                 6.86620 
                 −24.96128 
                 0.41656 
                 0.33753 
                 0.12163 
               
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                   
                   
                   
                   
                 InTL/ 
                   
               
               
                 InTL 
                 HOS 
                 HOS/HOI 
                 InS/HOS 
                 HOS 
                 ΣTP/InTL 
               
               
                   
               
               
                 2.10781 
                 3.27835 
                 1.44548 
                 0.99347 
                 0.64295 
                 0.77308 
               
               
                   
               
            
           
           
               
               
               
               
            
               
                 |InRS41|/TP4 
                 |InRS42|/TP4 
                 HVT42/HOI 
                 HVT42/HOS 
               
               
                   
               
               
                 0.46963 
                 0.32489 
                 0.13555 
                 0.13643 
               
               
                   
               
            
           
         
       
     
     The following content may be deduced from Table 9 and Table 10. 
     
       
         
           
               
             
               
                   
               
               
                 Related inflection point values of fifth embodiment (Primary reference wavelength: 555 nm) 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                 HIF111 
                 0.43683 
                 HIF111/HOI 
                 0.19261 
                 SGI111 
                 0.05138 
                 |SGI111|/(|SGI111| + TP1) 
                 0.10391 
               
               
                 HIF211 
                 0.05968 
                 HIF211/HOI 
                 0.02631 
                 SGI211 
                 0.00006 
                 |SGI211|/(|SGI211| + TP2) 
                 0.00034 
               
               
                 HIF212 
                 0.56368 
                 HIF212/HOI 
                 0.24853 
                 SGI212 
                 −0.08099 
                 |SGI212|/(|SGI212| + TP2) 
                 0.31033 
               
               
                 HIF213 
                 0.66717 
                 HIF213/HOI 
                 0.29416 
                 SGI213 
                 −0.12552 
                 |SGI213|/(|SGI213| + TP2) 
                 0.41084 
               
               
                 HIF214 
                 0.73000 
                 HIF214/HOI 
                 0.32187 
                 SGI214 
                 −0.15192 
                 |SGI214|/(|SGI214| + TP2) 
                 0.45770 
               
               
                 HIF221 
                 0.25601 
                 HIF221/HOI 
                 0.11288 
                 SGI221 
                 0.00333 
                 |SGI221|/(|SGI221| + TP2) 
                 0.01817 
               
               
                 HIF222 
                 0.58654 
                 HIF222/HOI 
                 0.25861 
                 SGI222 
                 −0.00582 
                 |SGI222|/(|SGI222| + TP2) 
                 0.03131 
               
               
                 HIF223 
                 0.78603 
                 HIF223/HOI 
                 0.34657 
                 SGI223 
                 −0.00497 
                 |SGI223|/(|SGI223| + TP2) 
                 0.02687 
               
               
                 HIF311 
                 0.29029 
                 HIF311/HOI 
                 0.12799 
                 SGI311 
                 −0.03818 
                 |SGI311|/(|SGI311| + TP3) 
                 0.08104 
               
               
                 HIF312 
                 0.86175 
                 HIF312/HOI 
                 0.37996 
                 SGI312 
                 −0.08204 
                 |SGI312|/(|SGI312| + TP3) 
                 0.15932 
               
               
                 HIF321 
                 0.62541 
                 HIF321/HOI 
                 0.27575 
                 SGI321 
                 −0.21482 
                 |SGI321|/(|SGI321| + TP3) 
                 0.33165 
               
               
                 HIF411 
                 0.39489 
                 HIF411/HOI 
                 0.17412 
                 SGI411 
                 0.04952 
                 |SGI411|/(|SGI411| + TP4) 
                 0.07948 
               
               
                 HIF412 
                 1.15875 
                 HIF412/HOI 
                 0.51091 
                 SGI412 
                 −0.06143 
                 |SGI412|/(|SGI412| + TP4) 
                 0.09675 
               
               
                 HIF421 
                 0.48179 
                 HIF421/HOI 
                 0.21243 
                 SGI421 
                 0.10017 
                 |SGI421|/(|SGI421| + TP4) 
                 0.14869 
               
               
                   
               
            
           
         
       
     
     The Sixth Embodiment (Embodiment 6) 
     Please refer to  FIG. 6A ,  FIG. 6B , and  FIG. 6C ,  FIG. 6A  is a schematic view of the optical image capturing system according to the sixth embodiment of the present application,  FIG. 6B  is longitudinal spherical aberration curves, astigmatic field curves, and an optical distortion curve of the optical image capturing system in the order from left to right according to the sixth embodiment of the present application, and  FIG. 6C  is a TV distortion grid of the optical image capturing system according to the sixth embodiment of the present application. As shown in  FIG. 6A , sequentially arranged from an object side to an image side, the optical image capturing system includes a first lens element  610 , an aperture stop  600 , a second lens element  620 , a third lens element  630 , a fourth lens element  640 , an IR filter  670 , an image plane  680 , and an image sensing device  690 . 
     The first lens element  610  has positive refractive power and it is made of plastic material. The first lens element  610  has a convex object-side surface  612  and a convex image-side surface  614 , both of the object-side surface  612  and the image-side surface  614  are aspheric, and the object-side surface  612  has one inflection point. 
     The second lens element  620  has positive refractive power and it is made of plastic material. The second lens element  620  has a concave object-side surface  622  and a convex image-side surface  624 , and both of the object-side surface  622  and the image-side surface  624  are aspheric. 
     The third lens element  630  has negative refractive power and it is made of plastic material. The third lens element  630  has a concave object-side surface  632  and a convex image-side surface  634 , both of the object-side surface  632  and the image-side surface  634  are aspheric, and the object-side surface  632  has two inflection points and the image-side surface  634  has one inflection point. 
     The fourth lens element  640  has positive refractive power and it is made of plastic material. The fourth lens element  640  has a convex object-side surface  642  and a concave image-side surface  644 , and both of the object-side surface  642  and the image-side surface  644  are aspheric and have one inflection point. 
     The IR filter  670  is made of glass material without affecting the focal length of the optical image capturing system and it is disposed between the fourth lens element  640  and the image plane  680 . 
     In the sixth embodiment of the optical image capturing system, focal lengths of the second lens element  620 , the third lens element  630 , and the fourth lens element  640  are  12 , f 3 , and f 4 , respectively. The following relation is satisfied: |f 2 |+|f 3 |=6.3879 mm, |f 1 |+|f 4 |=7.3017 mm, and |f 2 |+|f 3 |&lt;|f 1 |+|f 4 |. 
     In the sixth embodiment of the optical image capturing system, a central thickness of the third lens element  630  on the optical axis is TP 3 . A central thickness of the fourth lens element  640  on the optical axis is TP 4 . The following relation is satisfied: TP 4 =0.342 mm and TP 4 =0.876 mm. 
     In the sixth embodiment of the optical image capturing system, a sum of focal lengths of all lens elements with positive refractive power is ΣPP. The following relation is satisfied: ΣPP=f 1 +f 2 +f 4 =10.9940 mm and f 1 /(f 1 +f 2 +f 4 )=0.2801. Hereby, it&#39;s favorable for allocating the positive refractive power of the first lens element  610  to others positive lens elements. 
     In the sixth embodiment of the optical image capturing system, a sum of focal lengths of all lens elements with negative refractive power is ΣNP. The following relation is satisfied: ΣNP=f 3 =−2.6956 mm and f 3 /(f 3 )=0.0340. Hereby, it&#39;s favorable for allocating the negative refractive power of the fourth lens element  640  to others negative lens elements. 
     Please refer to the following Table 11 and Table 12. 
     The detailed data of the optical image capturing system of the sixth embodiment is as shown in Table 11. 
     
       
         
           
               
             
               
                 TABLE 11 
               
             
            
               
                   
               
               
                 Data of the optical image capturing system 
               
               
                 f = 2.6019 mm, f/HEP = 1.600, HAF = 40.700 deg, tan(HAF) = 0.8601 
               
            
           
           
               
               
               
               
               
               
               
            
               
                   
                   
                   
                   
                   
                   
                 Focal 
               
               
                 Surface # 
                 Curvature Radius 
                 Thickness 
                 Material 
                 Index 
                 Abbe # 
                 length 
               
               
                   
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                 0 
                 Object 
                 Plano 
                 600 
                   
                   
                   
                   
               
               
                 1 
                 Lens 1/Ape. 
                 1.71292 
                 0.38171 
                 Plastic 
                 1.54410 
                 56.06368 
                 3.07935 
               
               
                   
                 stop 
               
               
                 2 
                   
                 −82.93521 
                 0.06127 
               
               
                 3 
                 light-shielding 
                 Plano 
                 0.32214 
               
               
                   
                 sheet 
               
               
                 4 
                 Lens 2 
                 −2.99453 
                 0.55905 
                 Plastic 
                 1.54410 
                 56.06368 
                 3.69227 
               
               
                 5 
                   
                 −1.28410 
                 0.18224 
               
               
                 6 
                 Lens 3 
                 −0.49647 
                 0.34177 
                 Plastic 
                 1.64250 
                 22.45544 
                 −2.69561 
               
               
                 7 
                   
                 −0.88152 
                 0.03097 
               
               
                 8 
                 Lens 4 
                 1.05292 
                 0.87625 
                 Plastic 
                 1.53460 
                 56.04928 
                 4.22234 
               
               
                 9 
                   
                 1.39616 
                 0.40577 
               
               
                 10 
                 IR filter 
                 Plano 
                 0.21 
                 BK_7 
                 1.51680 
                 64.13477 
               
               
                 11 
                   
                 Plano 
                 0.51339 
               
               
                 12 
                 Image Plane 
                 Plano 
               
               
                   
               
               
                 Reference wavelength (d-line) = 555 nm, shield position: the effective diameter or the clear aperture (CA) of the third plano = 0.675 mm 
               
            
           
         
       
     
     As for the parameters of the aspheric surfaces of the sixth embodiment, reference is made to Table 12. 
     
       
         
           
               
             
               
                 TABLE 12 
               
               
                   
               
               
                 Aspheric Coefficients 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
               
            
               
                 Surface # 
                 1 
                 2 
                 4 
                 5 
                 6 
                 7 
               
               
                   
               
               
                 k = 
                 −8.09736E−01  
                 9.90000E+01 
                 1.38546E+01 
                 −4.78421E+00 
                 −3.91527E+00 
                 −1.53405E+00  
               
               
                 A4 = 
                 3.11337E−04 
                 −1.47267E−01  
                 −2.45721E−01  
                 −2.55177E−01 
                 −1.04737E+00 
                 −8.42553E−02  
               
               
                 A6 = 
                 −4.23221E−01  
                 2.05335E−01 
                 1.11283E+00 
                 −1.35694E+00 
                  1.91291E+00 
                 1.14144E−01 
               
               
                 A8 = 
                 1.99682E+00 
                 −2.29326E+00  
                 −7.97159E+00  
                  5.61291E+00 
                 −1.03818E+00 
                 4.85341E−01 
               
               
                 A10 = 
                 −8.98568E+00  
                 6.67714E+00 
                 2.67059E+01 
                 −1.27982E+01 
                  8.28666E−02 
                 −5.78511E−01  
               
               
                 A12 = 
                 2.55814E+01 
                 −1.26431E+01  
                 −4.89500E+01  
                  1.83626E+01 
                 −7.20630E−01 
                 1.37111E−01 
               
               
                 A14 = 
                 −4.56047E+01  
                 1.25240E+01 
                 4.32986E+01 
                 −1.54412E+01 
                  8.84894E−01 
                 8.58529E−02 
               
               
                 A16 = 
                 3.35356E+01 
                 −4.95913E+00  
                 −1.11707E+01  
                  5.47973E+00 
                 −3.65905E−01 
                 −3.73888E−02  
               
               
                 A18 = 
                 0.00000E+00 
                 0.00000E+00 
                 0.00000E+00 
                  0.00000E+00 
                  0.00000E+00 
                 0.00000E+00 
               
               
                 A20 = 
                 0.00000E+00 
                 0.00000E+00 
                 0.00000E+00 
                  0.00000E+00 
                  0.00000E+00 
                 0.00000E+00 
               
               
                   
               
            
           
           
               
               
               
               
            
               
                   
                 Surface # 
                 8 
                 9 
               
               
                   
                   
               
               
                   
                 k = 
                 −1.19640E+01 
                 −5.30860E+00 
               
               
                   
                 A4 = 
                 −3.47164E−02 
                 −5.45854E−02 
               
               
                   
                 A6 = 
                 −1.11575E−01 
                 −3.54359E−03 
               
               
                   
                 A8 = 
                  1.55890E−01 
                  1.43811E−02 
               
               
                   
                 A10 = 
                 −1.02888E−01 
                 −8.50527E−03 
               
               
                   
                 A12 = 
                  3.67156E−02 
                  2.28063E−03 
               
               
                   
                 A14 = 
                 −6.09560E−03 
                 −2.76813E−04 
               
               
                   
                 A16 = 
                  1.92810E−04 
                  9.06057E−06 
               
               
                   
                 A18 = 
                  0.00000E+00 
                  0.00000E+00 
               
               
                   
                 A20 = 
                  0.00000E+00 
                  0.00000E+00 
               
               
                   
                   
               
            
           
         
       
     
     The presentation of the aspheric surface formula in the sixth embodiment is similar to that in the first embodiment. Besides the definitions of parameters in following tables are equal to those in the first embodiment so the repetitious details need not be given here. 
     The following content may be deduced from Table 11 and Table 12. 
     
       
         
           
               
             
               
                   
               
               
                 Sixth embodiment (Primary reference wavelength: 555 nm) 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 InRS41 
                 InRS42 
                 HVT41 
                 HVT42 
                 |ODT|% 
                 |TDT|% 
               
               
                   
               
               
                 0.11772 
                 0.04936 
                 1.11330 
                 1.39937 
                 2.57432 
                 0.27626 
               
               
                   
               
               
                 |f/f1| 
                 |f/f2| 
                 |f/f3| 
                 |f/f4| 
                 |f1/f2| 
                 |f2/f3| 
               
               
                   
               
               
                 0.84495 
                 0.70469 
                 0.96524 
                 0.61622 
                 0.83400 
                 1.36973 
               
               
                   
               
            
           
           
               
               
               
            
               
                 ΣPPR 
                 ΣNPR 
                 ΣPPR/|ΣNPR| 
               
               
                   
               
               
                 2.16586 
                 0.96524 
                 2.24387 
               
               
                   
               
            
           
           
               
               
               
               
               
            
               
                 ΣPP 
                 ΣNP 
                 f1/ΣPP 
                 f4/ΣNP 
                 IN12/f 
               
               
                   
               
               
                 0.38374 
                 7.91461 
                 8.02457 
                 0.53349 
                 0.14736 
               
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                   
                   
                   
                   
                 InTL/ 
                 ΣTP/ 
               
               
                 InTL 
                 HOS 
                 HOS/HOI 
                 InS/HOS 
                 HOS 
                 InTL 
               
               
                   
               
               
                 2.75540 
                 3.88456 
                 1.68894 
                 0.97363 
                 0.70932 
                 0.78347 
               
               
                   
               
            
           
           
               
               
               
            
               
                 (TP1 + IN12)/TP2 
                 (TP4 + IN34)/TP3 
                 (TP2 + TP3)/ΣTP 
               
               
                   
               
               
                 1.36860 
                 2.65446 
                 0.41728 
               
               
                   
               
            
           
           
               
               
               
               
            
               
                 |InRS41|/TP4 
                 |InRS42|/TP4 
                 HVT42/HOI 
                 HVT42/HOS 
               
               
                   
               
               
                 0.13435 
                 0.05633 
                 0.60842 
                 0.36024 
               
               
                   
               
            
           
         
       
     
     The following content may be deduced from Table 11 and Table 12. 
     
       
         
           
               
             
               
                   
               
               
                 Related inflection point values of fourth embodiment (Primary reference wavelength: 555 nm) 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                 HIF111 
                 0.527327 
                 HIF111/HOI 
                 0.229273 
                 SGI111 
                 0.0766251 
                 |SGI111|/(|SGI111| + TP1) 
                 0.167182 
               
               
                 HIF311 
                 0.627538 
                 HIF311/HOI 
                 0.272843 
                 SGI311 
                 −0.30616 
                 |SGI311|/(|SGI311| + TP3) 
                 0.472518 
               
               
                 HIF312 
                 0.708595 
                 HIF312/HOI 
                 0.308085 
                 SGI312 
                 −0.369446 
                 |SGI312|/(|SGI312| + TP3) 
                 0.519455 
               
               
                 HIF321 
                 0.63295 
                 HIF321/HOI 
                 0.275196 
                 SGI321 
                 −0.212404 
                 |SGI321|/(|SGI321| + TP3) 
                 0.383278 
               
               
                 HIF411 
                 0.461586 
                 HIF411/HOI 
                 0.20069 
                 SGI411 
                 0.0708689 
                 |SGI411|/(|SGI411| + TP4) 
                 0.074826 
               
               
                 HIF421 
                 0.658593 
                 HIF421/HOI 
                 0.286345 
                 SGI421 
                 0.119304 
                 |SGI421|/(|SGI421| + TP4) 
                 0.119837 
               
               
                   
               
            
           
         
       
     
     The Seventh Embodiment (Embodiment 7) 
     Please refer to  FIG. 7A ,  FIG. 7B , and  FIG. 7C ,  FIG. 7A  is a schematic view of the optical image capturing system according to the seventh embodiment of the present application,  FIG. 7B  is longitudinal spherical aberration curves, astigmatic field curves, and an optical distortion curve of the optical image capturing system in the order from left to right according to the seventh embodiment of the present application, and  FIG. 7C  is a TV distortion grid of the optical image capturing system according to the seventh embodiment of the present application. As shown in  FIG. 7A , sequentially arranged from an object side to an image side, the optical image capturing system includes a first lens element  710 , an aperture stop  700 , a second lens element  720 , a third lens element  730 , a fourth lens element  740 , an IR filter  770 , an image plane  780 , and an image sensing device  790 . 
     The first lens element  710  has positive refractive power and it is made of plastic material. The first lens element  710  has a convex object-side surface  712  and a convex image-side surface  714 , and both of the object-side surface  712  and the image-side surface  714  are aspheric. The object-side surface  712  has one inflection point. 
     The second lens element  720  has negative refractive power and it is made of plastic material. The second lens element  720  has a convex object-side surface  722  and a concave image-side surface  724 , and both of the object-side surface  722  and the image-side surface  724  are aspheric and have two inflection points. 
     The third lens element  730  has positive refractive power and it is made of plastic material. The third lens element  730  has a concave object-side surface  732  and a convex image-side surface  734 , and both of the object-side surface  732  and the image-side surface  734  are aspheric. The object-side surface  732  has two inflection points and the image-side surface  734  has one inflection point. 
     The fourth lens element  740  has negative refractive power and it is made of plastic material. The fourth lens element  740  has a convex object-side surface  742  and a concave image-side surface  744 , and both of the object-side surface  742  and the image-side surface  744  are aspheric and have one inflection point. 
     The IR filter  770  is made of glass material without affecting the focal length of the optical image capturing system and it is disposed between the fourth lens element  740  and the image plane  780 . 
     In the seventh embodiment of the optical image capturing system, focal lengths of the second lens element  720 , the third lens element  730  and the fourth lens element  740  are f 2 , f 3  and f 4  respectively. The following relation is satisfied: |f 2 |+|f 3 |=15.0996 mm, |f 1 |+|f 4 |=8.6946 mm, and |f 2 |+|f 3 |&gt;|f 1 |+|f 4 |. 
     In the seventh embodiment of the optical image capturing system, a central thickness of the third lens element  730  on the optical axis is TP 3 . A central thickness of the fourth lens element  740  on the optical axis is TP 4 . The following relation is satisfied: TP 3 =0.546 mm and TP 4 =0.560 mm. 
     In the seventh embodiment of the optical image capturing system, 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 . Hereby, it&#39;s favorable for allocating the positive refractive power of the first lens element  710  to others positive lens elements and the significant aberrations generated in the process of moving the incident light can be suppressed. 
     In the seventh embodiment of the optical image capturing system, 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 . Hereby, it&#39;s favorable for allocating the negative refractive power of the fourth lens element  740  to others negative lens elements. 
     Please refer to the following Table 13 and Table 14. 
     The detailed data of the optical image capturing system of the seventh embodiment is as shown in Table 13. 
     
       
         
           
               
             
               
                 TABLE 13 
               
             
            
               
                   
               
               
                 Data of the optical image capturing system 
               
               
                 f = 2.658 mm, f/HEP = 1.600, HAF = 40.178 deg, tan(HAF) = 0.8444 
               
            
           
           
               
               
               
               
               
               
               
            
               
                   
                   
                   
                   
                   
                   
                 Focal 
               
               
                 Surface # 
                 Curvature Radius 
                 Thickness 
                 Material 
                 Index 
                 Abbe # 
                 length 
               
               
                   
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                 0 
                 Object 
                 Plano 
                 6000 
                   
                   
                   
                   
               
               
                 1 
                 Ape. stop 
                 Plano 
                 0.02586 
               
               
                 2 
                 Lens 1 
                 1.82723 
                 0.87793 
                 Plastic 
                 1.544 
                 56.09 
                 2.788 
               
               
                 3 
                   
                 −7.56096 
                 0.02509 
               
               
                 4 
                 Lens 2 
                 12.68101 
                 0.23002 
                 Plastic 
                 1.642 
                 22.46 
                 −10.948 
               
               
                 5 
                   
                 4.51507 
                 0.31496 
               
               
                 6 
                 Lens 3 
                 −1.31095 
                 0.54645 
                 Plastic 
                 1.544 
                 56.09 
                 4.152 
               
               
                 7 
                   
                 −0.95280 
                 0.02500 
               
               
                 8 
                 Lens 4 
                 1.38763 
                 0.56037 
                 Plastic 
                 1.544 
                 56.09 
                 −5.907 
               
               
                 9 
                   
                 0.83178 
                 0.30118 
               
               
                 10 
                 IR filter 
                 Plano 
                 0.22002 
                 BK_7 
                 1.517 
                 64.13 
               
               
                 11 
                   
                 Plano 
                 0.68042 
               
               
                 12 
                 Image plane 
                 Plano 
               
               
                   
               
               
                 Reference wavelength (d-line) = 555 nm, shield position: clear aperture (CA) of the third plano = 0.880 mm 
               
            
           
         
       
     
     As for the parameters of the aspheric surfaces of the seventh embodiment, reference is made to Table 14. 
     
       
         
           
               
             
               
                 TABLE 14 
               
               
                   
               
               
                 Aspheric Coefficients 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
               
            
               
                 Surface # 
                 1 
                 2 
                 3 
                 4 
                 5 
                 6 
               
               
                   
               
               
                 k = 
                 −3.449885E+01  
                 6.039504E+01 
                 0.000000E+00 
                 −1.912480E−01  
                 0.000000E+00 
                 −4.021380E+00 
               
               
                 A4 = 
                 4.910976E−01 
                 −1.104180E+00  
                 −8.795001E−01  
                 1.817942E−01 
                 8.814026E−01 
                 −8.397014E−02 
               
               
                 A6 = 
                 −1.140695E+00  
                 3.700900E+00 
                 1.756327E+00 
                 −1.506726E+00  
                 −2.417150E+00  
                 −5.159036E−01 
               
               
                 A8 = 
                 1.562231E+00 
                 −8.177836E+00  
                 −2.940058E+00  
                 3.775393E+00 
                 5.608579E+00 
                  2.751363E+00 
               
               
                 A10 = 
                 −1.034743E+00  
                 1.040322E+01 
                 2.476651E+00 
                 −6.222165E+00  
                 −9.294013E+00  
                 −8.127982E+00 
               
               
                 A12 = 
                 1.311146E−02 
                 −7.172275E+00  
                 −5.900538E−01  
                 5.339849E+00 
                 8.330999E+00 
                  1.666672E+01 
               
               
                 A14 = 
                 0.000000E+00 
                 2.107607E+00 
                 −7.905662E−02  
                 −1.725157E+00  
                 −2.862391E+00  
                 −2.295022E+01 
               
               
                 A16 = 
                 0.000000E+00 
                 0.000000E+00 
                 0.000000E+00 
                 0.000000E+00 
                 0.000000E+00 
                  1.996548E+01 
               
               
                 A18 = 
                 0.000000E+00 
                 0.000000E+00 
                 0.000000E+00 
                 0.000000E+00 
                 0.000000E+00 
                 −9.597546E+00 
               
               
                 A20 = 
                 0.000000E+00 
                 0.000000E+00 
                 0.000000E+00 
                 0.000000E+00 
                 0.000000E+00 
                  1.900616E+00 
               
               
                   
               
            
           
           
               
               
               
               
            
               
                   
                 Surface # 
                 8 
                 9 
               
               
                   
                   
               
               
                   
                 k = 
                  0.000000E+00 
                 −3.169782E+00 
               
               
                   
                 A4 = 
                 −3.973401E−01 
                 −3.266176E−01 
               
               
                   
                 A6 = 
                 −6.396172E−01 
                  3.434798E−01 
               
               
                   
                 A8 = 
                  2.713808E+00 
                 −2.591739E−01 
               
               
                   
                 A10 = 
                 −5.193750E+00 
                  1.022526E−01 
               
               
                   
                 A12 = 
                  5.917096E+00 
                 −6.955898E−03 
               
               
                   
                 A14 = 
                 −4.162303E+00 
                 −9.952133E−03 
               
               
                   
                 A16 = 
                  1.759765E+00 
                  3.546491E−03 
               
               
                   
                 A18 = 
                 −4.063329E−01 
                 −3.811572E−04 
               
               
                   
                 A20 = 
                  3.860304E−02 
                  0.000000E+00 
               
               
                   
                   
               
            
           
         
       
     
     In the seventh embodiment, the presentation of the aspheric surface formula is similar to that in the first embodiment. Besides, the definitions of parameters in following tables are equal to those in the first embodiment, so the repetitious details need not be given here. 
     The following content may be deduced from Table 13 and Table 14. 
     
       
         
           
               
             
               
                   
               
               
                 Seventh embodiment (Primary reference wavelength 555 nm) 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 InRS41 
                 InRS42 
                 HVT41 
                 HVT42 
                 |ODT|% 
                 |TDT|% 
               
               
                   
               
               
                 −0.07140 
                 −0.05477 
                 0.74849 
                 1.14122 
                 1.02843 
                 0.41705 
               
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 |f/f1| 
                 |f/f2| 
                 |f/f3| 
                 |f/f4| 
                 |f1/f2| 
                 |f2/f3| 
               
               
                   
               
               
                 0.95340 
                 0.24279 
                 0.64017 
                 0.45000 
                 0.25466 
                 2.63669 
               
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                   
                   
                   
                 (TP1 + 
                   
                   
               
               
                   
                   
                 ΣPPR/ 
                 IN12)/ 
                 (TP4 + IN34)/ 
               
               
                 ΣPPR 
                 ΣNPR 
                 |ΣNPR| 
                 TP2 
                 TP3 
                 (TP2 + TP3)/ΣTP 
               
               
                   
               
               
                 1.59357 
                 0.69279 
                 2.30022 
                 3.92575 
                 1.07123 
                 0.35059 
               
               
                   
               
            
           
           
               
               
               
               
               
            
               
                 ΣPP 
                 ΣNP 
                 f1/ΣPP 
                 f4/ΣNP 
                 IN12/f 
               
               
                   
               
               
                 6.93994 
                 −16.85430 
                 0.40172 
                 0.35046 
                 0.00944 
               
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 InTL 
                 HOS 
                 HOS/HOI 
                 InS/HOS 
                 InTL/HOS 
                 ΣTP/InTL 
               
               
                   
               
               
                 2.57982 
                 3.78144 
                 1.66730 
                 1.00684 
                 0.68223 
                 0.85850 
               
               
                   
               
            
           
           
               
               
               
               
            
               
                 |InRS41|/TP4 
                 |InRS42|/TP4 
                 HVT42/HOI 
                 HVT42/HOS 
               
               
                   
               
               
                 0.12741 
                 0.09773 
                 0.50318 
                 0.30180 
               
               
                   
               
            
           
         
       
     
     
       
         
           
               
             
               
                   
               
               
                 Related inflection point values of seventh embodiment (Primary reference wavelength: 555 nm) 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                 HIF111 
                 0.66359 
                 HIF111/HOI 
                 0.29259 
                 SGI111 
                 0.11195 
                 |SGI111|/(|SGI111| + TP1) 
                 0.11310 
               
               
                 HIF211 
                 0.08815 
                 HIF211/HOI 
                 0.03887 
                 SGI211 
                 0.00025 
                 |SGI211|/(|SGI211| + TP2) 
                 0.00110 
               
               
                 HIF212 
                 0.80907 
                 HIF212/HOI 
                 0.35673 
                 SGI212 
                 −0.15104 
                 |SGI212|/(|SGI212| + TP2) 
                 0.39636 
               
               
                 HIF221 
                 0.39307 
                 HIF221/HOI 
                 0.17331 
                 SGI221 
                 0.01759 
                 |SGI221|/(|SGI221| + TP2) 
                 0.07104 
               
               
                 HIF222 
                 0.87255 
                 HIF222/HOI 
                 0.38472 
                 SGI222 
                 −0.01360 
                 |SGI222|/(|SGI222| + TP2) 
                 0.05581 
               
               
                 HIF311 
                 0.80976 
                 HIF311/HOI 
                 0.35704 
                 SGI311 
                 −0.15927 
                 |SGI311|/(|SGI311| + TP3) 
                 0.22568 
               
               
                 HIF312 
                 0.96080 
                 HIF312/HOI 
                 0.42363 
                 SGI312 
                 −0.20662 
                 |SGI312|/(|SGI312| + TP3) 
                 0.27437 
               
               
                 HIF321 
                 0.73838 
                 HIF321/HOI 
                 0.32556 
                 SGI321 
                 −0.24218 
                 |SGI321|/(|SGI321| + TP3) 
                 0.30709 
               
               
                 HIF411 
                 0.38564 
                 HIF411/HOI 
                 0.17003 
                 SGI411 
                 0.04478 
                 |SGI411|/(|SGI411| + TP4) 
                 0.07400 
               
               
                 HIF421 
                 0.48988 
                 HIF421/HOI 
                 0.21600 
                 SGI421 
                 0.10931 
                 |SGI421|/(|SGI421| + TP4) 
                 0.16323 
               
               
                   
               
            
           
         
       
     
     The Eighth Embodiment (Embodiment 8) 
     Please refer to  FIG. 8A ,  FIG. 8B , and  FIG. 8C ,  FIG. 8A  is a schematic view of the optical image capturing system according to the eighth embodiment of the present application, 
       FIG. 8B  is longitudinal spherical aberration curves, astigmatic field curves, and an optical distortion curve of the optical image capturing system in the order from left to right according to the eighth embodiment of the present application, and  FIG. 8C  is a TV distortion grid of the optical image capturing system according to the eighth embodiment of the present application. As shown in  FIG. 8A , sequentially arranged from an object side to an image side, the optical image capturing system includes a first lens element  810 , an aperture stop  800 , a second lens element  820 , a third lens element  830 , a fourth lens element  840 , an IR filter  870 , an image plane  880 , and an image sensing device  890 . 
     The first lens element  810  has positive refractive power and it is made of plastic material. The first lens element  810  has a convex object-side  812  and a convex image-side surface  814 , both of the object-side surface  812  and the image-side surface  814  are aspheric, and the object-side surface  812  has one inflection point. 
     The second lens element  820  has negative refractive power and it is made of plastic material. The second lens element  820  has a convex object-side surface  822  and a concave image-side surface  824 , and both of the object-side surface  822  and the image-side surface  824  are aspheric and have one inflection point. 
     The third lens element  830  has positive refractive power and it is made of plastic material. The third lens element  830  has a concave object-side surface  832  and a convex image-side surface  834 , and both of the object-side surface  832  and the image-side surface  834  are aspheric. The object-side surface  832  has two inflection points and the image-side surface  834  has one inflection point. 
     The fourth lens element  840  has negative refractive power and it is made of plastic material. The fourth lens element  840  has a convex object-side surface  842  and a concave image-side surface  844 , and both of the object-side surface  842  and the image-side surface  844  are aspheric and have one inflection point. 
     The IR filter  870  is made of glass material without affecting the focal length of the optical image capturing system and it is disposed between the fourth lens element  840  and the image plane  880 . 
     In the eighth embodiment of the optical image capturing system, focal lengths of the second lens element  820 , the third lens element  830 , and the fourth lens element  840  are f 2 , f 3  and f 4  respectively. The following relation is satisfied: |f 2 |+|f 3 |=12.1131 mm, |f 1 |+|f 4 |=8.3371 mm, and |f 2 |+|f 3 |&lt;|f 1 |+|f 4 |. 
     In the eighth embodiment of the optical image capturing system, a central thickness of the third lens element  830  on the optical axis is TP 3 . A central thickness of the fourth lens element  840  on the optical axis is TP 4 . The following relation is satisfied: TP 3 =0.555 mm and TP 4 =0.566 mm. 
     In the eighth embodiment of the optical image capturing system, 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 . Hereby, it&#39;s favorable for allocating the positive refractive power of the first lens element  810  to others positive lens elements and the significant aberrations generated in the process of moving the incident light can be suppressed. 
     In the eighth embodiment of the optical image capturing system, 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 . Hereby, it&#39;s favorable for allocating the negative refractive power of the fourth lens element  840  to others negative lens elements. 
     Please refer to the following Table 15 and Table 16. 
     The detailed data of the optical image capturing system of the eighth embodiment is as shown in Table 15. 
     
       
         
           
               
             
               
                 TABLE 15 
               
             
            
               
                   
               
               
                 Data of the optical image capturing system 
               
               
                 f = 2.658 mm, f/HEP = 1.8, HAF = 40.178 deg, tan(HAF) = 0.8444 
               
            
           
           
               
               
               
               
               
               
               
            
               
                   
                   
                   
                   
                   
                   
                 Focal 
               
               
                 Surface # 
                 Curvature Radius 
                 Thickness 
                 Material 
                 Index 
                 Abbe # 
                 length 
               
               
                   
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                 0 
                 Object 
                 Plano 
                 600 
                   
                   
                   
                   
               
               
                 1 
                 Ape. stop 
                 Plano 
                 −0.04292 
               
               
                 2 
                 Lens 1 
                 1.82629 
                 0.86563 
                 Plastic 
                 1.544 
                 56.09 
                 2.526 
               
               
                 3 
                   
                 −4.68478 
                 0.02500 
               
               
                 4 
                 Lens 2 
                 38.00000 
                 0.23000 
                 Plastic 
                 1.642 
                 22.46 
                 −7.881 
               
               
                 5 
                   
                 4.48893 
                 0.31544 
               
               
                 6 
                 Lens 3 
                 −1.21433 
                 0.55482 
                 Plastic 
                 1.544 
                 56.09 
                 4.232 
               
               
                 7 
                   
                 −0.92436 
                 0.02500 
               
               
                 8 
                 Lens 4 
                 1.38507 
                 0.56601 
                 Plastic 
                 1.544 
                 56.09 
                 −5.811 
               
               
                 9 
                   
                 0.82499 
                 0.29770 
               
               
                 10 
                 IR filter 
                 Plano 
                 0.22000 
                 BK_7 
                 1.517 
                 64.13 
               
               
                 11 
                   
                 Plano 
                 0.68000 
               
               
                 12 
                 Image plane 
                 Plano 
               
               
                   
               
               
                 Reference wavelength (d-line) = 555 nm, shield position: clear aperture (CA) of the third plano = 0.88 mm, clear aperture (CA) of the seventh plano = 1.030 mm 
               
            
           
         
       
     
     As for the parameters of the aspheric surfaces of the eighth embodiment, reference is made to Table 16. 
     
       
         
           
               
             
               
                 TABLE 16 
               
               
                   
               
               
                 Aspheric Coefficients 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
               
            
               
                 Surface # 
                 1 
                 2 
                 3 
                 4 
                 6 
                 7 
               
               
                   
               
               
                 k = 
                 −3.449885E+01  
                 2.006889E+01 
                 0.000000E+00 
                 −1.912480E−01  
                 0.000000E+00 
                 −3.590645E+00 
               
               
                 A4 = 
                 5.092359E−01 
                 −9.636558E−01  
                 −7.486931E−01  
                 2.038028E−01 
                 9.019270E−01 
                 −7.721860E−02 
               
               
                 A6 = 
                 −1.261515E+00  
                 2.848469E+00 
                 5.303836E−01 
                 −1.913362E+00  
                 −2.502699E+00  
                 −5.177427E−01 
               
               
                 A8 = 
                 1.871289E+00 
                 −6.268858E+00  
                 6.500642E−01 
                 5.199009E+00 
                 5.948230E+00 
                  2.874316E+00 
               
               
                 A10 = 
                 −1.410885E+00  
                 8.704320E+00 
                 −2.135133E+00  
                 −8.817674E+00  
                 −1.097880E+01  
                 −1.042417E+01 
               
               
                 A12 = 
                 3.634559E−02 
                 −6.988183E+00  
                 1.866399E+00 
                 7.877279E+00 
                 1.130208E+01 
                  2.613888E+01 
               
               
                 A14 = 
                 0.000000E+00 
                 2.428088E+00 
                 −3.551352E−01  
                 −2.734194E+00  
                 −4.432071E+00  
                 −4.218667E+01 
               
               
                 A16 = 
                 0.000000E+00 
                 0.000000E+00 
                 0.000000E+00 
                 0.000000E+00 
                 0.000000E+00 
                  4.128649E+01 
               
               
                 A18 = 
                 0.000000E+00 
                 0.000000E+00 
                 0.000000E+00 
                 0.000000E+00 
                 0.000000E+00 
                 −2.179347E+01 
               
               
                 A20 = 
                 0.000000E+00 
                 0.000000E+00 
                 0.000000E+00 
                 0.000000E+00 
                 0.000000E+00 
                  4.703568E+00 
               
               
                   
               
            
           
           
               
               
               
               
            
               
                   
                 Surface # 
                 8 
                 9 
               
               
                   
                   
               
               
                   
                 k = 
                  0.000000E+00 
                 −3.190141E+00 
               
               
                   
                 A4 = 
                 −4.025178E−01 
                 −3.195331E−01 
               
               
                   
                 A6 = 
                 −5.585220E−01 
                  3.079111E−01 
               
               
                   
                 A8 = 
                  2.236034E+00 
                 −2.056133E−01 
               
               
                   
                 A10 = 
                 −4.029432E+00 
                  5.985039E−02 
               
               
                   
                 A12 = 
                  4.344885E+00 
                  1.195438E−02 
               
               
                   
                 A14 = 
                 −2.901539E+00 
                 −1.462294E−02 
               
               
                   
                 A16 = 
                  1.166826E+00 
                  4.124520E−03 
               
               
                   
                 A18 = 
                 −2.562209E−01 
                 −4.073588E−04 
               
               
                   
                 A20 = 
                  2.289935E−02 
                  0.000000E+00 
               
               
                   
                   
               
            
           
         
       
     
     The presentation of the aspheric surface formula in the eighth embodiment is similar to that in the first embodiment. Besides, the definitions of parameters in following tables are equal to those in the first embodiment so the repetitious details need not be given here. 
     The following content may be deduced from Table 15 and Table 16. 
     
       
         
           
               
             
               
                   
               
               
                 Eighth embodiment (Primary reference wavelength: 555 nm) 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 InRS41 
                 InRS42 
                 HVT41 
                 HVT42 
                 |ODT|% 
                 |TDT|% 
               
               
                   
               
               
                 −0.07923 
                 −0.07169 
                 0.73551 
                 1.12528 
                 1.02727 
                 0.44587 
               
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 |f/f1| 
                 |f/f2| 
                 |f/f3| 
                 |f/f4| 
                 |f1/f2| 
                 |f2/f3| 
               
               
                   
               
               
                 1.05223 
                 0.33723 
                 0.62800 
                 0.45733 
                 0.32049 
                 1.86224 
               
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                   
                   
                   
                 (TP1 + 
                   
                   
               
               
                   
                   
                 ΣPPR/ 
                 IN12)/ 
                 (TP4 + IN34)/ 
               
               
                 ΣPPR 
                 ΣNPR 
                 |ΣNPR| 
                 TP2 
                 TP3 
                 (TP2 + TP3)/ΣTP 
               
               
                   
               
               
                 1.68023 
                 0.79456 
                 2.11466 
                 3.87229 
                 1.06523 
                 0.35409 
               
               
                   
               
            
           
           
               
               
               
               
               
            
               
                 ΣPP 
                 ΣNP 
                 f1/ΣPP 
                 f4/ΣNP 
                 IN12/f 
               
               
                   
               
               
                 6.75782 
                 −13.69238 
                 0.37376 
                 0.42442 
                 0.00941 
               
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 InTL 
                 HOS 
                 HOS/HOI 
                 InS/HOS 
                 InTL/HOS 
                 ΣTP/InTL 
               
               
                   
               
               
                 2.58189 
                 3.77960 
                 1.66649 
                 0.98864 
                 0.68311 
                 0.85846 
               
               
                   
               
            
           
           
               
               
               
               
            
               
                 |InRS41|/TP4 
                 |InRS42|/TP4 
                 HVT42/HOI 
                 HVT42/HOS 
               
               
                   
               
               
                 0.13998 
                 0.12666 
                 0.49616 
                 0.29772 
               
               
                   
               
            
           
         
       
     
     The following content may be deduced from Table 15 and Table 16. 
     
       
         
           
               
             
               
                   
               
               
                 Related inflection point values of eighth embodiment (Primary reference wavelength: 555 nm) 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                 HIF111 
                 0.62432 
                 HIF111/HOI 
                 0.27527 
                 SGI111 
                 0.09963 
                 |SGI111|/(|SGI111| + TP1) 
                 0.10322 
               
               
                 HIF211 
                 0.05425 
                 HIF211/HOI 
                 0.02392 
                 SGI211 
                 0.00003 
                 |SGI211|/(|SGI211| + TP2) 
                 0.00014 
               
               
                 HIF221 
                 0.36943 
                 HIF221/HOI 
                 0.16289 
                 SGI221 
                 0.01559 
                 |SGI221|/(|SGI221| + TP2) 
                 0.06348 
               
               
                 HIF311 
                 0.77779 
                 HIF311/HOI 
                 0.34294 
                 SGI311 
                 −0.17611 
                 |SGI311|/(|SGI311| + TP3) 
                 0.24094 
               
               
                 HIF312 
                 0.90983 
                 HIF312/HOI 
                 0.40116 
                 SGI312 
                 −0.22999 
                 |SGI312|/(|SGI312| + TP3) 
                 0.29305 
               
               
                 HIF321 
                 0.75614 
                 HIF321/HOI 
                 0.33339 
                 SGI321 
                 −0.26761 
                 |SGI321|/(|SGI321| + TP3) 
                 0.32539 
               
               
                 HIF411 
                 0.38475 
                 HIF411/HOI 
                 0.16964 
                 SGI411 
                 0.04471 
                 |SGI411|/(|SGI411| + TP4) 
                 0.07320 
               
               
                 HIF421 
                 0.48385 
                 HIF421/HOI 
                 0.21334 
                 SGI421 
                 0.10796 
                 |SGI421|/(|SGI421| + TP4) 
                 0.16019 
               
               
                   
               
            
           
         
       
     
     The Ninth Embodiment (Embodiment 9) 
     Please refer to  FIG. 9A ,  FIG. 9B  and  FIG. 9C ,  FIG. 9A  is a schematic view of the optical image capturing system according to the ninth embodiment of the present application,  FIG. 9B  is longitudinal spherical aberration curves, astigmatic field curves, and an optical distortion curve of the optical image capturing system in the order from left to right according to the ninth embodiment of the present application, and  FIG. 9C  is a TV distortion grid of the optical image capturing system according to the ninth embodiment of the present application. As shown in  FIG. 9A , sequentially arranged from an object side to an image side, the optical image capturing system includes a first lens element  910 , an aperture stop  900 , a second lens element  920 , a third lens element  930 , a fourth lens element  940 , an IR filter  970 , an image plane  980 , and an image sensing device  990 . 
     The first lens element  910  has positive refractive power and it is made of plastic material. The first lens element  910  has a convex object-side surface  912  and a convex image-side surface  914 , and both of the object-side surface  912  and the image-side surface  914  are aspheric. The object-side surface  912  has one inflection point. 
     The second lens element  920  has negative refractive power and it is made of plastic material. The second lens element  920  has a convex object-side surface  922  and a concave image-side surface  924 , and both of the object-side surface  922  and the image-side surface  924  are aspheric. The object-side surface  922  has two inflection points and the image-side surface  924  has three inflection points. 
     The third lens element  930  has positive refractive power and it is made of plastic material. The third lens element  930  has a concave object-side surface  932  and a convex image-side surface  934 , and both of the object-side surface  932  and the image-side surface  934  are aspheric. The object-side surface  932  has four inflection points and the image-side surface  934  has one inflection point. 
     The fourth lens element  940  has negative refractive power and it is made of plastic material. The fourth lens element  940  has a convex object-side surface  942  and a concave image-side surface  944 , and both of the object-side surface  942  and the image-side surface  944  are aspheric and have one inflection point. 
     The IR filter  970  is made of glass material without affecting the focal length of the optical image capturing system and it is disposed between the fourth lens element  940  and the image plane  980 . 
     In the ninth embodiment of the optical image capturing system, focal lengths of the second lens element  920 , the third lens element  930 , and the fourth lens element  940  are f 2 , f 3 , and f 4 , respectively. The following relation is satisfied: |f 2 |+|f 3 |=0.7662 mm, |f 1 +|f 4 |=6.0300 mm, and |f 2 |+|f 3 |&gt;|f 1 |+|f 4 |. 
     In the ninth embodiment of the optical image capturing system, a central thickness of the third lens element  930  on the optical axis is TP 3 . A central thickness of the fourth lens element  940  on the optical axis is TP 4 . The following relation is satisfied: TP 3 =0.595 mm and TP 4 =0.494 mm. 
     In the ninth embodiment of the optical image capturing system, 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 . Hereby, it&#39;s favorable for allocating the positive refractive power of the first lens element  910  to others positive lens elements and the significant aberrations generated in the process of moving the incident light can be suppressed. 
     In the ninth embodiment of the optical image capturing system, a sum of focal lengths of all lens elements with negative refractive power is ΣNP. The following relation is satisfied: ΣPP=f 2 +f 4 . Hereby, it&#39;s favorable for allocating the negative refractive power of the fourth lens element  940  to others negative lens elements 
     Please refer to the following Table 17 and Table 18. 
     The detailed data of the optical image capturing system of the ninth embodiment is as shown in Table 17. 
     
       
         
           
               
             
               
                 TABLE 17 
               
             
            
               
                   
               
               
                 Data of the optical image capturing system 
               
               
                 f = 2.658 mm, f/HEP = 2.0, HAF = 40.181 deg, tan(HAF) = 0.8445 
               
            
           
           
               
               
               
               
               
               
               
            
               
                   
                   
                   
                   
                   
                   
                 Focal 
               
               
                 Surface # 
                 Curvature Radius 
                 Thickness 
                 Material 
                 Index 
                 Abbe # 
                 length 
               
               
                   
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                 0 
                 Object 
                 Plano 
                 6000 
                   
                   
                   
                   
               
               
                 1 
                 Ape. stop 
                 Plano 
                 −0.05143 
                 Plastic 
               
               
                 2 
                 Lens 1 
                 1.65239 
                 0.68458 
                   
                 1.535 
                 56.07 
                 2.970 
               
               
                 3 
                   
                 −38.00000 
                 0.16959 
               
               
                 4 
                 Lens 2 
                 38.00000 
                 0.31241 
                 Plastic 
                 1.642 
                 22.46 
                 −8.447 
               
               
                 5 
                   
                 4.76679 
                 0.18447 
               
               
                 6 
                 Lens 3 
                 −1.47380 
                 0.59547 
                 Plastic 
                 1.544 
                 56.09 
                 2.319 
               
               
                 7 
                   
                 −0.77811 
                 0.09113 
               
               
                 8 
                 Lens 4 
                 1.76915 
                 0.49377 
                 Plastic 
                 1.544 
                 56.09 
                 −3.060 
               
               
                 9 
                   
                 0.77444 
                 0.31077 
               
               
                 10 
                 IR filter 
                 Plano 
                 0.22000 
                 BK_7 
                 1.517 
                 64.13 
               
               
                 11 
                   
                 Plano 
                 0.68000 
               
               
                 12 
                 Image plane 
                 Plano 
               
               
                   
               
               
                 Reference wavelength (d-line) = 555 nm, shield position: clear aperture (CA) of the third plano = 0.830 mm 
               
            
           
         
       
     
     As for the parameters of the aspheric surfaces of the ninth embodiment, reference is made to Table 18. 
     
       
         
           
               
             
               
                 TABLE 18 
               
               
                   
               
               
                 Aspheric Coefficients 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
               
            
               
                 Surface # 
                 2 
                 3 
                 4 
                 5 
                 6 
                 7 
               
               
                   
               
               
                 k = 
                 −2.451847E+01  
                 0.000000E+00 
                 0.000000E+00 
                 −1.912480E−01  
                 0.000000E+00 
                 −3.526982E+00 
               
               
                 A4 = 
                 5.357718E−01 
                 −3.301155E−01  
                 −4.038124E−01  
                 2.163507E−01 
                 8.855140E−01 
                  1.234060E−03 
               
               
                 A6 = 
                 −1.337213E+00  
                 −1.556627E−01  
                 −1.313895E+00  
                 −1.752983E+00  
                 −1.773162E+00  
                 −5.269971E−01 
               
               
                 A8 = 
                 2.016440E+00 
                 −5.827581E−02  
                 1.823657E+00 
                 3.843413E+00 
                 3.390439E+00 
                 −5.495531E−01 
               
               
                 A10 = 
                 −1.621273E+00  
                 7.062539E−01 
                 2.441617E+00 
                 −5.853929E+00  
                 −6.714037E+00  
                  9.781331E+00 
               
               
                 A12 = 
                 0.000000E+00 
                 −6.228354E−01  
                 −5.033891E+00  
                 5.548436E+00 
                 7.547366E+00 
                 −2.840579E+01 
               
               
                 A14 = 
                 0.000000E+00 
                 0.000000E+00 
                 2.303746E+00 
                 −2.148259E+00  
                 −3.144088E+00  
                  4.078770E+01 
               
               
                 A16 = 
                 0.000000E+00 
                 0.000000E+00 
                 0.000000E+00 
                 0.000000E+00 
                 0.000000E+00 
                 −3.190778E+01 
               
               
                 A18 = 
                 0.000000E+00 
                 0.000000E+00 
                 0.000000E+00 
                 0.000000E+00 
                 0.000000E+00 
                  1.300540E+01 
               
               
                 A20 = 
                 0.000000E+00 
                 0.000000E+00 
                 0.000000E+00 
                 0.000000E+00 
                 0.000000E+00 
                 −2.170436E+00 
               
               
                   
               
            
           
           
               
               
               
               
            
               
                   
                 Surface # 
                 8 
                 9 
               
               
                   
                   
               
               
                   
                 k = 
                 0.000000E+00 
                 −2.320668E+00 
               
               
                   
                 A4 = 
                 5.394487E−02 
                 −4.924869E−01 
               
               
                   
                 A6 = 
                 −2.206892E+00  
                  5.495448E−01 
               
               
                   
                 A8 = 
                 6.278603E+00 
                 −4.084710E−01 
               
               
                   
                 A10 = 
                 −1.019416E+01  
                  1.733107E−01 
               
               
                   
                 A12 = 
                 1.044820E+01 
                 −3.159451E−02 
               
               
                   
                 A14 = 
                 −6.852117E+00  
                 −3.265385E−03 
               
               
                   
                 A16 = 
                 2.795951E+00 
                  2.298764E−03 
               
               
                   
                 A18 = 
                 −6.482533E−01  
                 −2.724686E−04 
               
               
                   
                 A20 = 
                 6.530804E−02 
                  0.000000E+00 
               
               
                   
                   
               
            
           
         
       
     
     The presentation of the aspheric surface formula in the ninth embodiment is similar to that in the first embodiment. Besides, the definitions of parameters in following tables are equal to those in the first embodiment so the repetitious details need not be given here. 
     The following content may be deduced from Table 17 and Table 18. 
     
       
         
           
               
             
               
                   
               
               
                 Ninth embodiment (Primary reference wavelength: 555 nm) 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 InRS41 
                 InRS42 
                 HVT41 
                 HVT42 
                 |ODT|% 
                 |TDT|% 
               
               
                   
               
               
                 −0.07762 
                 0.00375 
                 0.74919 
                 1.14209 
                 1.01946 
                 0.45576 
               
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 |f/f1| 
                 |f/f2| 
                 |f/f3| 
                 |f/f4| 
                 |f1/f2| 
                 |f2/f3| 
               
               
                   
               
               
                 0.89474 
                 0.31462 
                 1.14611 
                 0.86865 
                 0.35164 
                 3.64281 
               
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                   
                   
                   
                 (TP1 + 
                   
                   
               
               
                   
                   
                 ΣPPR/ 
                 IN12)/ 
                 (TP4 + IN34)/ 
               
               
                 ΣPPR 
                 ΣNPR 
                 |ΣNPR| 
                 TP2 
                 TP3 
                 (TP2 + TP3)/ΣTP 
               
               
                   
               
               
                 2.04085 
                 1.18328 
                 1.72474 
                 2.73413 
                 0.98225 
                 0.43518 
               
               
                   
               
            
           
           
               
               
               
               
               
            
               
                 ΣPP 
                 ΣNP 
                 f1/ΣPP 
                 f4/ΣNP 
                 IN12/f 
               
               
                   
               
               
                 5.28927 
                 −11.50684 
                 0.56159 
                 0.26589 
                 0.06381 
               
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 InTL 
                 HOS 
                 HOS/HOI 
                 InS/HOS 
                 InTL/HOS 
                 ΣTP/InTL 
               
               
                   
               
               
                 2.53143 
                 3.74220 
                 1.65000 
                 0.98626 
                 0.67646 
                 0.82413 
               
               
                   
               
            
           
           
               
               
               
               
            
               
                 |InRS41|/TP4 
                 |InRS42|/TP4 
                 HVT42/HOI 
                 HVT42/HOS 
               
               
                   
               
               
                 0.50357 
                 0.30519 
                 0.15719 
                 0.00759 
               
               
                   
               
            
           
         
       
     
     The following content may be deduced from Table 17 and Table 18. 
     
       
         
           
               
             
               
                   
               
               
                 Related inflection point values of ninth embodiment (Primary reference wavelength: 555 nm) 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                 HIF111 
                 0.60082 
                 HIF111/HOI 
                 0.26491 
                 SGI111 
                 0.10338 
                 |SGI111|/(|SGI111| + TP1) 
                 0.13120 
               
               
                 HIF211 
                 0.07219 
                 HIF211/HOI 
                 0.03183 
                 SGI211 
                 0.00006 
                 |SGI211|/(|SGI211| + TP2) 
                 0.00018 
               
               
                 HIF212 
                 0.70519 
                 HIF212/HOI 
                 0.31093 
                 SGI212 
                 −0.12792 
                 |SGI212|/(|SGI212| + TP2) 
                 0.29052 
               
               
                 HIF221 
                 0.36330 
                 HIF221/HOI 
                 0.16018 
                 SGI221 
                 0.01456 
                 |SGI221|/(|SGI221| + TP2) 
                 0.04453 
               
               
                 HIF222 
                 0.79095 
                 HIF222/HOI 
                 0.34874 
                 SGI222 
                 0.00126 
                 |SGI222|/(|SGI222| + TP2) 
                 0.00403 
               
               
                 HIF223 
                 0.90805 
                 HIF223/HOI 
                 0.40038 
                 SGI223 
                 −0.01606 
                 |SGI223|/(|SGI223| + TP2) 
                 0.04888 
               
               
                 HIF311 
                 0.34888 
                 HIF311/HOI 
                 0.15383 
                 SGI311 
                 −0.03138 
                 |SGI311|/(|SGI311| + TP3) 
                 0.05006 
               
               
                 HIF312 
                 0.48113 
                 HIF312/HOI 
                 0.21214 
                 SGI312 
                 −0.04897 
                 |SGI312|/(|SGI312| + TP3) 
                 0.07599 
               
               
                 HIF313 
                 0.80698 
                 HIF313/HOI 
                 0.35581 
                 SGI313 
                 −0.11184 
                 |SGI313|/(|SGI313| + TP3) 
                 0.15811 
               
               
                 HIF314 
                 0.87739 
                 HIF314/HOI 
                 0.38686 
                 SGI314 
                 −0.13120 
                 |SGI314|/(|SGI314| + TP3) 
                 0.18055 
               
               
                 HIF321 
                 0.72084 
                 HIF321/HOI 
                 0.31783 
                 SGI321 
                 −0.26207 
                 |SGI321|/(|SGI321| + TP3) 
                 0.30561 
               
               
                 HIF411 
                 0.39563 
                 HIF411/HOI 
                 0.17444 
                 SGI411 
                 0.04061 
                 |SGI411|/(|SGI411| + TP4) 
                 0.07600 
               
               
                 HIF421 
                 0.46997 
                 HIF421/HOI 
                 0.20722 
                 SGI421 
                 0.10953 
                 |SGI421|/(|SGI421| + TP4) 
                 0.18155 
               
               
                   
               
            
           
         
       
     
     The Tenth Embodiment (Embodiment 10) 
     Please refer to  FIG. 10A ,  FIG. 10B  and  FIG. 10C ,  FIG. 10A  is a schematic view of the optical image capturing system according to the tenth embodiment of the present application,  FIG. 10B  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 tenth embodiment of the present application, and  FIG. 10C  is a TV distortion grid of the optical image capturing system according to the tenth embodiment of the present application. As shown in  FIG. 10A , sequentially arranged from an object side to an image side, the optical image capturing system includes a first lens element  1010 , an aperture stop  1000 , a second lens element  1020 , a third lens element  1030 , a fourth lens element  1040 , an IR filter  1070 , an image plane  1080 , and an image sensing device  1090 . 
     The first lens element  1010  has positive refractive power and it is made of plastic material. The first lens element  1010  has a convex object-side surface  1012  and a convex image-side surface  1014 , both of the object-side surface  1012  and the image-side surface  1014  are aspheric, and the object-side surface  1012  has one inflection point. 
     The second lens element  1020  has negative refractive power and it is made of plastic material. The second lens element  1020  has a convex object-side surface  1022  and a concave image-side surface  1024 , and both of the object-side surface  1022  and the image-side surface  1024  are aspheric. The object-side surface  1022  has three inflection points and the image-side surface  1024  has one inflection point. 
     The third lens element  1030  has positive refractive power and it is made of plastic material. The third lens element  1030  has a concave object-side surface  1032  and a convex image-side surface  1034 , and both of the object-side surface  1032  and the image-side surface  1034  are aspheric. The object-side surface  1032  has two inflection points and the image-side surface  1034  has one inflection point. 
     The fourth lens element  1040  has negative refractive power and it is made of plastic material. The fourth lens element  1040  has a convex object-side surface  1042  and a concave image-side surface  1044 , and both of the object-side surface  1042  and the image-side surface  1044  are aspheric. The object-side surface  1042  has two inflection points and the image-side surface  1044  has one inflection point. 
     The IR filter  1070  is made of glass material without affecting the focal length of the optical image capturing system and it is disposed between the fourth lens element  1040  and the image plane  1080 . 
     In the tenth embodiment of the optical image capturing system, focal lengths of the second lens element  1020 , the third lens element  1030 , and the fourth lens element  1040  are f 2 , f 3  and f 4  respectively. The following relation is satisfied: |f 2 |+|f 3 |=10.7218 mm, |f 1 |+|f 4 |=9.3481 mm, and |f 2 |+|f 3 |&gt;|f 1 |+|f 4 |. 
     In the tenth embodiment of the optical image capturing system, a central thickness of the third lens element  1030  on the optical axis is TP 3 . A central thickness of the fourth lens element  1040  on the optical axis is TP 4 . The following relation is satisfied: TP 3 =0.348715 mm and TP 4 =0.520935 mm. 
     In the tenth embodiment of the optical image capturing system, 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 . Hereby, it&#39;s favorable for allocating the positive refractive power of the first lens element  1010  to others positive lens elements and the significant aberrations generated in the process of moving the incident light can be suppressed. 
     In the tenth embodiment of the optical image capturing system, 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 . Hereby it&#39;s favorable for allocating the negative refractive power of the fourth lens element  1040  to others negative lens elements. 
     Please refer to the following Table 19 and Table 20. 
     The detailed data of the optical image capturing system of the tenth embodiment is as shown in Table 19. 
     
       
         
           
               
             
               
                 TABLE 19 
               
             
            
               
                   
               
               
                 Data of the optical image capturing system 
               
               
                 f = 2.658 mm, f/HEP = 2.2, HAF = 40.1736 deg, tan(HAF) = 0.8443 
               
            
           
           
               
               
               
               
               
               
               
            
               
                   
                   
                   
                   
                   
                   
                 Focal 
               
               
                 Surface # 
                 Curvature Radius 
                 Thickness 
                 Material 
                 Index 
                 Abbe # 
                 length 
               
               
                   
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                 0 
                 Object 
                 Plano 
                 6000 
                   
                   
                   
                   
               
               
                 1 
                 Ape. stop 
                 Plano 
                 −0.11273 
               
               
                 2 
                 Lens 1 
                 1.48250 
                 0.59199 
                 Plastic 
                 1.544 
                 56.09 
                 2.583 
               
               
                 3 
                   
                 −24.67361 
                 0.09375 
               
               
                 4 
                 Lens 2 
                 38.00000 
                 0.23375 
                 Plastic 
                 1.642 
                 22.46 
                 −6.246 
               
               
                 5 
                   
                 3.64725 
                 0.31066 
               
               
                 6 
                 Lens 3 
                 −1.59368 
                 0.34871 
                 Plastic 
                 1.544 
                 56.09 
                 4.475 
               
               
                 7 
                   
                 −1.03902 
                 0.19246 
               
               
                 8 
                 Lens 4 
                 1.43844 
                 0.52094 
                 Plastic 
                 1.544 
                 56.09 
                 −6.766 
               
               
                 9 
                   
                 0.90284 
                 0.22524 
               
               
                 10 
                 IR filter 
                 Plano 
                 0.22000 
                 BK_7 
                 1.517 
                 64.13 
               
               
                 11 
                   
                 Plano 
                 0.68000 
               
               
                 12 
                 Image plane 
                 Plano 
               
               
                   
               
               
                 Reference wavelength (d-line) = 555 nm, shield position: clear aperture (CA) of the eighth plano = 1.390 mm 
               
            
           
         
       
     
     As for the parameters of the aspheric surfaces of the eighth embodiment, reference is made to Table 20. 
     
       
         
           
               
             
               
                 TABLE 20 
               
               
                   
               
               
                 Aspheric Coefficients 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
               
            
               
                 Surface # 
                 2 
                 3 
                 4 
                 5 
                 6 
                 7 
               
               
                   
               
               
                 k = 
                 −2.988492E+01  
                 0.000000E+00 
                 0.000000E+00 
                 −1.912480E−01  
                 0.000000E+00 
                 −4.777153E+00 
               
               
                 A4 = 
                 8.918904E−01 
                 −3.202807E−01  
                 −2.814745E−01  
                 6.867960E−02 
                 5.266193E−01 
                 −6.141935E−01 
               
               
                 A6 = 
                 −2.955649E+00  
                 −2.573616E−02  
                 −1.284325E+00  
                 −7.508017E−01  
                 −1.438232E+00  
                  1.545654E+00 
               
               
                 A8 = 
                 5.684308E+00 
                 −2.466543E+00  
                 2.343872E+00 
                 1.321314E+00 
                 4.758004E+00 
                 −3.122187E+00 
               
               
                 A10 = 
                 −4.948103E+00  
                 1.074251E+01 
                 2.762574E+00 
                 −4.595466E−01  
                 −9.612162E+00  
                  6.394360E+00 
               
               
                 A12 = 
                 0.000000E+00 
                 −1.173838E+01  
                 −3.529586E+00  
                 −5.446124E−01  
                 1.098041E+01 
                 −1.034759E+01 
               
               
                 A14 = 
                 0.000000E+00 
                 0.000000E+00 
                 −3.220920E+00  
                 2.192041E−01 
                 −5.464336E+00  
                  1.543155E+01 
               
               
                 A16 = 
                 0.000000E+00 
                 0.000000E+00 
                 0.000000E+00 
                 0.000000E+00 
                 0.000000E+00 
                 −1.604377E+01 
               
               
                 A18 = 
                 0.000000E+00 
                 0.000000E+00 
                 0.000000E+00 
                 0.000000E+00 
                 0.000000E+00 
                  8.555130E+00 
               
               
                 A20 = 
                 0.000000E+00 
                 0.000000E+00 
                 0.000000E+00 
                 0.000000E+00 
                 0.000000E+00 
                 −1.719097E+00 
               
               
                   
               
            
           
           
               
               
               
               
            
               
                   
                 Surface # 
                 8 
                 9 
               
               
                   
                   
               
               
                   
                 k = 
                  0.000000E+00 
                 −3.628721E+00 
               
               
                   
                 A4 = 
                 −9.368625E−01 
                 −4.053027E−01 
               
               
                   
                 A6 = 
                  1.053001E+00 
                  4.311567E−01 
               
               
                   
                 A8 = 
                 −1.016081E+00 
                 −3.134520E−01 
               
               
                   
                 A10 = 
                  5.876194E−01 
                  1.078535E−01 
               
               
                   
                 A12 = 
                 −1.644666E−01 
                  8.585757E−03 
               
               
                   
                 A14 = 
                  5.171928E−02 
                 −2.134276E−02 
               
               
                   
                 A16 = 
                 −6.062325E−02 
                  6.928467E−03 
               
               
                   
                 A18 = 
                  3.384185E−02 
                 −7.665717E−04 
               
               
                   
                 A20 = 
                 −6.369034E−03 
                  0.000000E+00 
               
               
                   
                   
               
            
           
         
       
     
     The presentation of the aspheric surface formula in the tenth embodiment is similar to that in the first embodiment. Besides, the definitions of parameters in following tables are equal to those in the first embodiment so the repetitious details need not be given here. 
     The following content may be deduced from Table 19 and Table 20. 
     
       
         
           
               
             
               
                   
               
               
                 Tenth embodiment (Primary reference wavelength: 555 nm) 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 InRS41 
                 InRS42 
                 HVT41 
                 HVT42 
                 |ODT|% 
                 |TDT|% 
               
               
                   
               
               
                 −0.16911 
                 −0.20707 
                 0.56101 
                 0.97557 
                 1.03270 
                 0.45751 
               
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 |f/f1| 
                 |f/f2| 
                 |f/f3| 
                 |f/f4| 
                 |f1/f2| 
                 |f2/f3| 
               
               
                   
               
               
                 1.02902 
                 0.42545 
                 0.59380 
                 0.39280 
                 0.41346 
                 1.39568 
               
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                   
                   
                   
                 (TP1 + 
                   
                   
               
               
                   
                   
                 ΣPPR/ 
                 IN12)/ 
                 (TP4 + IN34)/ 
               
               
                 ΣPPR 
                 ΣNPR 
                 |ΣNPR| 
                 TP2 
                 TP3 
                 (TP2 + TP3)/ΣTP 
               
               
                   
               
               
                 1.62282 
                 0.81826 
                 1.98326 
                 2.93366 
                 2.04578 
                 0.34356 
               
               
                   
               
            
           
           
               
               
               
               
               
            
               
                 ΣPP 
                 ΣNP 
                 f1/ΣPP 
                 f4/ΣNP 
                 IN12/f 
               
               
                   
               
               
                 7.05802 
                 −13.01179 
                 0.36590 
                 0.51995 
                 0.03528 
               
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 InTL 
                 HOS 
                 HOS/HOI 
                 InS/HOS 
                 InTL/HOS 
                 ΣTP/InTL 
               
               
                   
               
               
                 2.29225 
                 3.41749 
                 1.50683 
                 0.96701 
                 0.67074 
                 0.73962 
               
               
                   
               
            
           
           
               
               
               
               
            
               
                 |InRS41|/TP4 
                 |InRS42|/TP4 
                 HVT42/HOI 
                 HVT42/HOS 
               
               
                   
               
               
                 0.32462 
                 0.39749 
                 0.43014 
                 0.28546 
               
               
                   
               
            
           
         
       
     
     The following content may be deduced from Table 19 and Table 20. 
     
       
         
           
               
             
               
                   
               
               
                 Related inflection point values of tenth embodiment (Primary reference wavelength: 555 nm) 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                 HIF111 
                 0.58325 
                 HIF111/HOI 
                 0.25716 
                 SGI111 
                 0.10916 
                 |SGI111|/(|SGI111| + TP1) 
                 0.15569 
               
               
                 HIF211 
                 0.08495 
                 HIF211/HOI 
                 0.03745 
                 SGI211 
                 0.00008 
                 |SGI211|/(|SGI211| + TP2) 
                 0.00034 
               
               
                 HIF212 
                 0.59677 
                 HIF212/HOI 
                 0.26313 
                 SGI212 
                 −0.04504 
                 |SGI212|/(|SGI212| + TP2) 
                 0.16155 
               
               
                 HIF213 
                 0.64550 
                 HIF213/HOI 
                 0.28461 
                 SGI213 
                 −0.05644 
                 |SGI213|/(|SGI213| + TP2) 
                 0.19450 
               
               
                 HIF221 
                 0.73298 
                 HIF221/HOI 
                 0.32318 
                 SGI221 
                 0.05691 
                 |SGI221|/(|SGI221| + TP2) 
                 0.19579 
               
               
                 HIF311 
                 0.45744 
                 HIF311/HOI 
                 0.20169 
                 SGI311 
                 −0.05109 
                 |SGI311|/(|SGI311| + TP3) 
                 0.12779 
               
               
                 HIF312 
                 0.74673 
                 HIF312/HOI 
                 0.32924 
                 SGI312 
                 −0.09109 
                 |SGI312|/(|SGI312| + TP3) 
                 0.20712 
               
               
                 HIF321 
                 0.59161 
                 HIF321/HOI 
                 0.26085 
                 SGI321 
                 −0.16952 
                 |SGI321|/(|SGI321| + TP3) 
                 0.32711 
               
               
                 HIF411 
                 0.28639 
                 HIF411/HOI 
                 0.12627 
                 SGI411 
                 0.02303 
                 |SGI411|/(|SGI411| + TP4) 
                 0.04234 
               
               
                 HIF412 
                 1.11151 
                 HIF412/HOI 
                 0.49008 
                 SGI412 
                 −0.10727 
                 |SGI412|/(|SGI412| + TP4) 
                 0.17076 
               
               
                 HIF421 
                 0.42738 
                 HIF421/HO1 
                 0.18844 
                 SGI421 
                 0.07827 
                 |SGI421|/(|SGI421| + TP4) 
                 0.13063 
               
               
                   
               
            
           
         
       
     
     The above-mentioned descriptions represent merely the exemplary embodiment of the present disclosure, without any intention to limit the scope of the present disclosure thereto. Various equivalent changes, alternations or modifications based on the claims of present disclosure are all consequently viewed as being embraced by the scope of the present disclosure.