Patent Publication Number: US-2016238816-A1

Title: Optical Image Capturing System

Description:
CROSS-REFERENCE TO RELATED APPLICATION 
     This application claims the benefit of Taiwan Patent Application No. 104105402, 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 directs towards the field of high pixels. Therefore, the requirement for high imaging quality is rapidly raised. 
     The traditional optical image capturing system of a portable electronic device comes with different designs, including a second-lens or a third-lens design. However, the requirement for the higher pixels and the requirement for a large aperture of an end user, like functionalities of micro filming and night view, or the requirement of wide view angle of the portable electronic device have been raised. But the optical image capturing system with the large aperture design often produces more aberration resulting in the deterioration of quality in peripherical image formation and difficulties of manufacturing, and the optical image capturing system with wide view angle design increases distortion rate in image formation, thus the optical image capturing system in prior arts cannot meet the requirement of the higher order camera lens module. 
     Therefore, how to effectively increase quantity of incoming light and view angle of the optical lenses, not only further improves total pixels and imaging quality for the image formation, but also considers the equity design of the miniaturized optical lenses, 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 increase the quantity of incoming light of the optical image capturing system and the view angle of the optical lenses, and to improve total pixels and imaging quality for image formation, so as to be applied to minimized electronic products. 
     The term and its definition to the lens element parameter in the embodiment of the present invention are shown as below for further reference. 
     The lens element parameter related to a length or a height in the lens element 
     A 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 an image plane is denoted by InB. InTL+InB=HOS. A distance from an aperture stop (aperture) to an image plane is denoted by InS. A distance from the first lens element to the second lens element is denoted by In12 (instance). A central thickness of the first lens element of the optical image capturing system on the optical axis is denoted by TP1 (instance). 
     The lens element parameter related to a material in the lens element 
     An Abbe number of the first lens element in the optical image capturing system is denoted by NA1 (instance). A refractive index of the first lens element is denoted by Nd1 (instance). 
     The lens element parameter related to a view angle in the lens element 
     A view angle is denoted by AF. Half of the view angle is denoted by HAF. A major light angle is denoted by MRA. 
     The lens element parameter related to exit/entrance pupil in the lens element 
     An entrance pupil diameter of the optical image capturing system is denoted by HEP. 
     The lens element parameter related to a depth of the lens element shape 
     A distance in parallel with an optical axis from a maximum effective diameter position to an axial point on the object-side surface of the fourth lens element is denoted by InRS41 (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 InRS42 (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 C31 on the object-side surface of the third lens element and the optical axis is HVT31 (instance). A distance perpendicular to the optical axis between a critical point C32 on the image-side surface of the third lens element and the optical axis is HVT32 (instance). A distance perpendicular to the optical axis between a critical point C41 on the object-side surface of the fourth lens element and the optical axis is HVT41 (instance). A distance perpendicular to the optical axis between a critical point C42 on the image-side surface of the fourth lens element and the optical axis is HVT42 (instance). The object-side surface of the fourth lens element has one inflection point IF411 which is nearest to the optical axis, and the sinkage value of the inflection point IF411 is denoted by SGI411. A distance perpendicular to the optical axis between the inflection point IF411 and the optical axis is HIF411 (instance). The image-side surface of the fourth lens element has one inflection point IF421 which is nearest to the optical axis and the sinkage value of the inflection point IF421 is denoted by SGI421 (instance). A distance perpendicular to the optical axis between the inflection point IF421 and the optical axis is HIF421 (instance). The object-side surface of the fourth lens element has one inflection point IF412 which is the second nearest to the optical axis and the sinkage value of the inflection point IF412 is denoted by SGI412 (instance). A distance perpendicular to the optical axis between the inflection point IF412 and the optical axis is HIF412 (instance). The image-side surface of the fourth lens element has one inflection point IF422 which is the second nearest to the optical axis and the sinkage value of the inflection point IF422 is denoted by SGI422 (instance). A distance perpendicular to the optical axis between the inflection point IF422 and the optical axis is HIF422 (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%. 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, in order 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 f1, f2, f3 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 an object-side surface of the first lens element to the image plane is HOS. The following relations are satisfied: 1.2≦f/HEP≦3.0 and 0.5≦HOS/f≦3.0. 
     The disclosure provides another optical image capturing system, in order 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 f1, f2, f3 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 an 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 relations are satisfied: 1.2≦f/HEP≦3.0, 0.4≦|tan(HAF)|≦3.0, 0.5≦HOS/f≦3.0, |TDT|&lt;60%, and |ODT|≦50%. 
     The disclosure provides another optical image capturing system, in order from an object side to an image side, including a first, 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 negative refractive power. The third lens element has refractive power. The fourth lens element has refractive power, wherein the fourth lens element has at least one inflection point on at least one surface 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 f1, f2, f3 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 an 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 relations are 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%. 
     The optical image capturing system described above may be configured to form the image on the image sensing device which is shorter than 1/1.2 inch in diagonal length. The preferred size of the image sensing device is 1/2.3 inch. The pixel size of the image sensing device is smaller than 1.4 micrometers (μm), preferably the pixel size thereof is smaller than 1.12 micrometers (μm). The best pixel size thereof is smaller than 0.9 micrometers (μm). Furthermore, the optical image capturing system is applicable to the image sensing device with aspect ratio of 16:9. 
     The optical image capturing system described above is applicable to the demand of video recording with above millions or ten millions-pixels (such as 4K2K or UHD, QHD) and leads to a good 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 f1 is larger than f4 (|f1|&gt;f4). 
     When |f2|+|f3|&gt;|f1|+|f4| is satisfied with above relations, at least one of the second through 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 through 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 through 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 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. 
    
    
     
       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, in order 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 uses 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 the primary reference wavelength of 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 the optical image capturing system is HOS. It will facilitate the manufacturing of miniaturized optical image capturing system which may form images with ultra high pixels when the specific ratio value of HOS/f tends 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 fn 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 relations are satisfied: 0&lt;ΣPP≦200 and f1/ΣPP≦0.85. Preferably, the following relations may be satisfied: 0&lt;ΣPP≦150 and 0.01≦f1/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 it has 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 (imaging height or the maximum image height of the optical image capturing system) is HOI. A distance on the optical axis from the object-side surface of the first lens element to the image plane is HOS. The following relations are satisfied: HOS/HOI≦3 and 0.5≦HOS/f≦3.0. Preferably, the following relations 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 stop may be arranged for reducing stray light and improving the imaging quality. 
     In the optical image capturing system of the disclosure, the aperture stop may be a front or middle aperture. The front aperture is the aperture stop between a photographed object and the first lens element. The middle aperture is the aperture stop between the first lens element and the image plane. If the aperture stop is the front aperture, a longer distance between the exit pupil and the image plane of the optical image capturing system can be formed, such that more optical elements can be disposed in the optical image capturing system and the efficiency of receiving images of the image sensing device can be raised. If the aperture stop is the middle aperture, the view angle of the optical image capturing system can be expended, such that the optical image capturing system has the same advantage that is owned by wide angle cameras. A distance from the aperture stop to the image plane is InS. The following relation is satisfied: 0.5≦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 other optical components in the optical image capturing system. 
     A curvature radius of the object-side surface of the first lens element is R1. A curvature radius of the image-side surface of the first lens element is R2. The following relation is satisfied: 0.1≦|R1/R2|≦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≦|R1/R2|≦0.45. 
     A curvature radius of the object-side surface of the fourth lens element is R9. A curvature radius of the image-side surface of the fourth lens element is R10. The following relation is satisfied: −200&lt;(R7−R8)/(R7+R8)&lt;30. Hereby, the astigmatism generated by the optical image capturing system can be corrected beneficially. 
     A distance between the first lens element and the second lens element on the optical axis is IN12. The following relation is satisfied: 0&lt;IN12/f≦0.25. Preferably, the following relation may be satisfied: 0.01≦IN12/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 TP1 and TP2, respectively. The following relation is satisfied: 1≦(TP1+IN12)/TP2≦10. Hereby, the sensitivity produced by the optical image capturing system can be controlled, and the performance can be increased. 
     Central thicknesses of the third lens element and the fourth lens element on the optical axis are TP3 and TP4, respectively, and a distance between the aforementioned two lens elements on the optical axis is IN34. The following relation is satisfied: 0.2≦(TP4+IN34)/TP4≦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 IN23. A distance from the object-side surface of the first lens element to the image-side surface of the fourth lens element is InTL. The following relation is satisfied: 0.1≦(TP2+TP3)/ΣTP≦0.9. Preferably, the following relation may be satisfied: 0.4≦(TP2+TP3)/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 InRS41 (the InRS41 is positive if the horizontal displacement is toward the image-side surface, or the InRS41 is negative if the horizontal displacement is toward the object-side surface). A distance in parallel with an optical axis from a maximum effective diameter position to an axial point on the image-side surface  144  of the fourth lens element is InRS42. A central thickness of the fourth lens element  140  is TP4. The following relations are satisfied: −1 mm≦InRS41≦1 mm, −1 mm≦InRS42≦1 mm, 1 mm≦|InRS41|+|InRS42|≦2 mm, 0.01≦|InRS41|/TP4≦10 and 0.01|InRS42|/TP4≦10. Hereby, the maximum effective diameter position between adjacent surfaces of the fourth lens element can be controlled, so as to correct the aberration of surrounding view field and to maintain 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 SGI411. A distance in parallel with an optical axis from an inflection point on the image-side surface of the fourth lens element which is nearest to the optical axis to an axial point on the image-side surface of the fourth lens element is denoted by SGI421. The following relations are satisfied: 0&lt;SGI411/(SGI411+TP4)≦0.9 and 0&lt;SGI421/(SGI421+TP4)≦0.9. Preferably, the following relations may be satisfied: 0.01&lt;SGI411/(SGI411+TP4)≦0.7 and 0.01&lt;SGI421/(SGI421+TP4)≦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 nearest to the optical axis to an axial point on the object-side surface of the fourth lens element is denoted by SGI412. A distance in parallel with an optical axis from an inflection point on the image-side surface of the fourth lens element which is the second nearest to the optical axis to an axial point on the image-side surface of the fourth lens element is denoted by SGI422. The following relations are satisfied: 0&lt;SGI412/(SGI412+TP4)≦0.9 and 0&lt;SGI422/(SGI422+TP4)≦0.9. Preferably, the following relations may be satisfied: 0.1≦SGI412/(SGI412+TP4)≦0.8 and 0.1≦SGI422/(SGI422+TP4)≦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 HIF411. A distance perpendicular to the optical axis between an inflection point on the image-side surface of the fourth lens element which is nearest to the optical axis and an axial point on the image-side surface of the fourth lens element is denoted by HIF421. The following relations are satisfied: 0.01≦HIF411/HOI≦0.9 and 0.01≦HIF421/HOI≦0.9. Preferably, the following relations may be satisfied: 0.09≦HIF411/HOI≦0.5 and 0.09≦HIF421/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 nearest to the optical axis and the optical axis is denoted by HIF412. 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 nearest to the optical axis is denoted by HIF422. The following relations are satisfied: 0.01≦HIF412/HOI≦0.9 and 0.01≦HIF422/HOI≦0.9. Preferably, the following relations may be satisfied: 0.09≦HIF412/HOI≦0.8 and 0.09≦HIF422/HOI≦0.8. 
     In one embodiment of the optical image capturing system of the present disclosure, the chromatic aberration of the optical image capturing system can be corrected by alternatively arranging the lens elements with large Abbe number and small Abbe number. 
     The above Aspheric formula is: 
         z=ch   2 /[1+[1−( k+ 1) c   2   h   2 ] 0.5   ]+A 4 h   4   +A 6 h   6   +A 8 h   8   +A 10 h   10   ±A 12 h   12   +A 14 h   14   +A 16 h   16   +A 18 h   18   +A 20 h   20 + . . .  (1),
 
     where z is a position value of the position along the optical axis and at the height h which reference to the surface apex; k is the conic coefficient, c is the reciprocal of curvature radius, and A4, A6, A8, A10, A12, A14, A16, A18, and A20 are high order aspheric coefficients. 
     The optical image capturing system provided by the disclosure, the lens elements may be made of glass or plastic material. If plastic material is adopted to produce the lens elements, the cost of manufacturing will be lowered effectively. If lens elements are made of glass, the heat effect can be controlled and the designed space arranged for the refractive power of the optical image capturing system can be increased. Besides, the object-side surface and the image-side surface of the first through 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 lens elements used can be reduced and the aberration can be eliminated. Thus, the total height of the optical image capturing system can be reduced effectively. 
     In addition, in the optical image capturing system provided by the disclosure, if the lens element has a convex surface, the surface of the lens element is convex adjacent to the optical axis. If the lens element has a concave surface, the surface of the lens element is concave adjacent to the optical axis. 
     Besides, in the optical image capturing system of the disclosure, according to different requirements, at least one aperture may be arranged for reducing stray light and improving the imaging quality. 
     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 detail as below. 
     The First Embodiment 
     Embodiment 1 
     Please refer to  FIG. 1A ,  FIG. 1B , and  FIG. 1C ,  FIG. 1A  is a schematic view of the optical image capturing system according to the first embodiment of the present application,  FIG. 1B  is longitudinal spherical aberration curves, astigmatic field curves, and an optical distortion curve of the optical image capturing system in the order from left to right according to the first embodiment of the present application, and  FIG. 1C  is a TV distortion grid of the optical image capturing system according to the first embodiment of the present application. As shown in  FIG. 1A , in order from an object side to an image side, the optical image capturing system includes an aperture  1 , a first lens element  110 , a second lens element  120 , a third lens element  130 , a fourth lens element  140 , an IR-bandstop filter  170 , an image plane  180 , and an image sensing device  190 . 
     The first lens element  110  has positive refractive power and it is made of plastic material. The first lens element  110  has a convex object-side surface  112  and a concave image-side surface  114 , both of the object-side surface  112  and the image-side surface  114  are aspheric, and the object-side surface  112  and the image-side surface  114  have an inflection point respectively. A distance in parallel with an optical axis from an inflection point on the object-side surface of the first lens element which is nearest to the optical axis to an axial point on the object-side surface of the first lens element is denoted by SGI111. A distance in parallel with an optical axis from an inflection point on the image-side surface of the first lens element which is nearest to the optical axis to an axial point on the image-side surface of the first lens element is denoted by SGI121. The following relations are satisfied: SGI111=0.0603484 mm, SGI121=0.000391938 mm, |SGI111|/(|SGI111|+TP1)=0.16844, and |SGI121|/(|SGI121|+TP1)=0.00131. 
     A distance perpendicular to the optical axis from the inflection point on the object-side surface of the first lens element which is nearest to the optical axis to an axial point on the object-side surface of the first lens element is denoted by HIF111. A distance perpendicular to the optical axis from the inflection point on the image-side surface of the first lens element which is nearest to the optical axis to an axial point on the image-side surface of the first lens element is denoted by HIF121. The following relations are satisfied: HIF111=0.313265 mm, HIF121=0.0765851 mm, HIF111/HOI=0.30473, and HIF121/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 , and both of the object-side surface  122  and the image-side surface  124  are aspheric. The object-side surface  122  and the image-side surface  124  have an inflection point respectively. A distance in parallel with an optical axis from an inflection point on the object-side surface of the second lens element which is nearest to the optical axis to an axial point on the object-side surface of the second lens element is denoted by SGI211. A distance in parallel with an optical axis from an inflection point on the image-side surface of the second lens element which is nearest to the optical axis to an axial point on the image-side surface of the second lens element is denoted by SGI221. The following relations are satisfied: SGI211=0.000529396 mm, SGI221=0.0153878 mm, |SGI211|/(|SGI211|+TP2)=0.00293, and |SGI221|/(|SGI221|+TP2)=0.07876. 
     A distance perpendicular to the optical axis from the inflection point on the object-side surface of the second lens element which is nearest to the optical axis to an axial point on the object-side surface of the second lens element is denoted by HIF211. A distance perpendicular to the optical axis from the inflection point on the image-side surface of the second lens element which is nearest to the optical axis to an axial point on the image-side surface of the second lens element is denoted by HIF221. The following relations are satisfied: HIF211=0.0724815 mm, HIF221=0.218624 mm, HIF211/HOI=0.07051, and HIF221/HOI=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 , and 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 an 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 SGI311. A distance in parallel with an optical axis from an inflection point on the image-side surface of the third lens element which is nearest to the optical axis to an axial point on the image-side surface of the third lens element is denoted by SGI321. The following relations are satisfied: SGI311=−0.00361837 mm, SGI321=−0.0872851 mm, |SGI311|/(|SGI311|+TP3)=0.01971, and |SGI321|/(|SGI321|+TP3)=0.32656. 
     A distance in parallel with the optical axis from an inflection point on the object-side surface of the third lens element which is the second nearest to the optical axis to an axial point on the object-side surface of the third lens element is denoted by SGI312. The following relations are satisfied: SGI312=0.00031109 mm and |SGI312|/(|SGI312|+TP3)=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 HIF311. A distance perpendicular to the optical axis from the inflection point on the image-side surface of the third lens element which is nearest to the optical axis to an axial point on the image-side surface of the third lens element is denoted by HIF321. The following relations are satisfied: HIF311=0.128258 mm, HIF321=0.287637 mm, HIF311/HOI=0.12476, and HIF321/HOI=0.27980. 
     A distance perpendicular to the optical axis between the inflection point on the object-side surface of the third lens element which is the second nearest to the optical axis and the optical axis is denoted by HIF312. The following relations are satisfied: HIF312=0.374412 mm and HIF312/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 an 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 SGI411. A distance in parallel with an optical axis from an inflection point on the image-side surface of the fourth lens element which is nearest to the optical axis to an axial point on the image-side surface of the fourth lens element is denoted by SGI421. The following relations are satisfied: SGI411=0.00982462 mm, SGI421=0.0484498 mm, |SGI411|/(|SGI411|+TP4)=0.02884, and |SGI421|/(|SGI421|+TP4)=0.21208. 
     A distance in parallel with the optical axis from an inflection point on the object-side surface of the fourth lens element which is the second nearest to the optical axis to an axial point on the object-side surface of the fourth lens element is denoted by SGI412. The following relations are satisfied: SGI412=−0.0344954 mm and |SGI412|/(|SGI412|+TP4)=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 HIF411. A distance perpendicular to the optical axis between the inflection point on the image-side surface of the fourth lens element which is nearest to the optical axis and the optical axis is denoted by HIF421. The following relations are satisfied: HIF411=0.15261 mm, HIF421=0.209604 mm, HIF411/HOI=0.14845, and HIF421/HOI=0.20389. 
     A distance perpendicular to the optical axis between the inflection point on the object-side surface of the fourth lens element which is the second nearest to the optical axis and the optical axis is denoted by HIF412. The following relations are satisfied: HIF412=0.602497 mm and HIF412/HOI=0.58609. 
     The IR-bandstop 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 optical image capturing system of the first embodiment, a focal length of the optical image capturing system is f, an entrance pupil diameter of the optical image capturing system is HEP, and half of a 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° and tan(HAF)=0.7673. 
     In the optical image capturing system of the first embodiment, a focal length of the first lens element  110  is f1 and a focal length of the fourth lens element  140  is f4. The following relations are satisfied: f1=1.6074 mm, |f/f1|=0.8271, f4=−1.0098 mm, |f1|&gt;f4, and |f1/f4|=1.5918. 
     In the optical image capturing system of the first embodiment, focal lengths of the second lens element  120  and the third lens element  130  are f2 and f3, respectively. The following relations are satisfied: |f2|+|f3|=4.0717 mm, |f1|+|f4|=2.6172 mm and |f2|+|f3|&gt;|f1|+|f4|. 
     A ratio of the focal length f of the optical image capturing system to a focal length fp of each of lens elements with positive refractive power is PPR. A ratio of the focal length f of the optical image capturing system to a focal length fn of each of lens elements with negative refractive power is NPR. In the optical image capturing system of the first embodiment, a sum of the PPR of all lens elements with positive refractive power is ΣPPR=f/f1+f/f3=2.4734. A sum of the NPR of all lens elements with negative refractive powers is ΣNPR=f/f2+f/f4=−1.7239 and ΣPPR/|ΣNPR|=1.4348. The following relations are also satisfied: |f/f2|=0.4073, |f/f3|=1.6463, and |f/f4|=1.3166. 
     In the optical image capturing system of the first embodiment, a distance from the object-side surface  112  of the first lens element to the image-side surface  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  100  to an image plane  180  is InS. Half of a diagonal length of an effective detection field of the image sensing device  190  is HOI. A distance from the image-side surface  144  of the fourth lens element to an image plane  180  is InB. The following relations are 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 optical image capturing system of the first embodiment, a total central thickness of all lens elements with refractive power on the optical axis is ΣTP. The following relations are satisfied: ΣTP=0.9887 mm and ΣTP/InTL=0.8392. Hereby, contrast ratio for the image formation in the optical image capturing system and defect-free rate for manufacturing the lens element can be given consideration simultaneously, and a proper back focal length is provided to dispose other optical components in the optical image capturing system. 
     In the optical image capturing system of the first embodiment, a curvature radius of the object-side surface  112  of the first lens element is R1. A curvature radius of the image-side surface  114  of the first lens element is R2. The following relation is satisfied: |R1/R2|=0.1252. Hereby, the first lens element may have proper strength of the positive refractive power, so as to avoid the longitudinal spherical aberration to increase too fast. 
     In the optical image capturing system of the first embodiment, a curvature radius of the object-side surface  142  of the fourth lens element is R7. A curvature radius of the image-side surface  144  of the fourth lens element is R8. The following relation is satisfied: (R7−R8)/(R7+R8)=0.4810. Hereby, the astigmatism generated by the optical image capturing system can be corrected beneficially. 
     In the optical image capturing system of the first embodiment, the focal lengths of the first lens element  110  and the third lens element  130  are f1 and f3, respectively. A sum of focal lengths of all lens elements with positive refractive power is ΣPP. The following relations are satisfied: ΣPP=f1+f3=2.4150 mm and f1/(f1+f3)=0.6656. Hereby, it is favorable for allocating the positive refractive power of the first lens element  110  to other positive lens elements and the significant aberrations generated in the process of moving the incident light can be suppressed. 
     In the optical image capturing system of the first embodiment, the focal lengths of the second lens element  120  and the fourth lens element  140  are f2 and f4, respectively. A sum of focal lengths of all lens elements with negative refractive power is ΣNP. The following relations are satisfied: ΣNP=f2+f4=−4.2739 mm and f4/(f2+f4)=0.7637. Hereby, it is favorable for allocating the negative refractive power of the fourth lens element  140  to other negative lens elements and the significant aberrations generated in the process of moving the incident light can be suppressed. 
     In the optical image capturing system of the first embodiment, a distance between the first lens element  110  and the second lens element  120  on the optical axis is IN12. The following relations are satisfied: IN12=0.0846 mm and IN12/f=0.0636. Hereby, the chromatic aberration of the lens elements can be improved, such that the performance can be increased. 
     In the optical image capturing system of the first embodiment, central thicknesses of the first lens element  110  and the second lens element  120  on the optical axis are TP1 and TP2, respectively. The following relations are satisfied: TP1=0.2979 mm, TP2=0.1800 mm, and (TP1+IN12)/TP2=2.1251. Hereby, the sensitivity produced by the optical image capturing system can be controlled, and the performance can be increased. 
     In the optical image capturing system of the first embodiment, central thicknesses of the third lens element  130  and the fourth lens element  140  on the optical axis are TP3 and TP4, respectively, and a distance between the aforementioned two lens elements on the optical axis is IN34. The following relations are satisfied: TP3=0.3308 mm, TP4=0.1800 mm, and (TP4+IN34)/TP3=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 optical image capturing system of the first embodiment, total central thickness of the first lens element  110  through the fourth lens element  140  on the optical axis is ΣTP. The following relation is satisfied: (TP2+TP3)/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 optical image capturing system of the first embodiment, 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 InRS41. 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 InRS42. A central thickness of the fourth lens element  140  is TP4. The following relations are satisfied: InRS41=−0.0356 mm, InRS42=0.0643 mm, |InRS41|+|InRS42|=0.0999 mm, |InRS41|/TP4=0.19794, and |InRS42|/TP4=0.3572. Hereby, it is favorable for manufacturing and forming the lens element and for maintaining the minimization for the optical image capturing system. 
     In the optical image capturing system of the first embodiment, a distance perpendicular to the optical axis between a critical point C41 on the object-side surface  142  of the fourth lens element and the optical axis is HVT41. A distance perpendicular to the optical axis between a critical point C42 on the image-side surface  144  of the fourth lens element and the optical axis is HVT42. The following relations are satisfied: HVT41=0.3200 mm, HVT42=0.5522 mm, and HVT41/HVT42=0.5795. Hereby, the aberration in the off-axis view field can be corrected. 
     In the optical image capturing system of the first embodiment, the following relation is satisfied: HVT42/HOI=0.5372. Hereby, the aberration of surrounding view field can be corrected. 
     In the optical image capturing system of the first embodiment, the following relation is satisfied: HVT42/HOS=0.2985. Hereby, the aberration of surrounding view field can be corrected. 
     In the optical image capturing system of the first embodiment, the second lens element  120  and the fourth lens element  150  have negative refractive power. An Abbe number of the first lens element is NA1. An Abbe number of the second lens element is NA2. An Abbe number of the fourth lens element is NA4. The following relations are satisfied: |NA1−NA2|=33.6083 and NA4/NA2=2.496668953. Hereby, the chromatic aberration of the optical image capturing system can be corrected. 
     In the optical image capturing system of the first embodiment, TV distortion and optical distortion for image formation in the optical image capturing system are TDT and ODT, respectively. The following relations are satisfied: TDT=0.4353% 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                                         Surface                   Abbe   Focal       #   Curvature Radius   Thickness   Material   Index   #   length                                                     0   Object   Plano   600                       1   Lens 1/Ape. stop   0.78234   0.29793   Plastic   1.544   56.06   1.607       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-bandstop   Plano   0.21   BK7 —                         filter           SCHOTT                   10       Plano   0.29                       11   Image plane   Plano                           12               Reference wavelength = 555 nm; The clear aperture of the third surface is 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 
               
               
                   
               
               
                 k = 
                 5.76611E−01 
                   0.00000E+00 
                   1.97452E+01 
                   7.33565E+00 
               
               
                 A4 = 
                 −5.51709E−01   
                 −2.23956E+00 
                 −3.78546E+00 
                 −8.00950E−01 
               
               
                 A6 = 
                 1.84419E+00 
                 −2.09186E+00 
                 −4.83803E+00 
                 −1.41685E+01 
               
               
                 A8 = 
                 −5.57618E+01   
                 −3.33312E+01 
                 −1.43809E+02 
                   8.62437E+01 
               
               
                 A10 = 
                 3.45594E+02 
                   3.76727E+02 
                   3.15322E+03 
                 −3.68614E+02 
               
               
                 A12 = 
                 −1.49452E+03   
                 −1.16899E+03 
                 −1.72284E+04 
                   1.49654E+03 
               
               
                 A14 = 
                   
                   
                   3.30750E+04 
                 −4.00967E+03 
               
               
                 A16 = 
                   
                   
                   
                   
               
               
                 A18 = 
                   
                   
                   
                   
               
               
                 A20 = 
               
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                   
                 k = 
                 0.00000E+00 
                 −2.09962E+00 
                 −2.65841E+01 
                 −5.02153E+00 
               
               
                   
                 A4 = 
                 3.04031E+00 
                   1.53566E+00 
                 −2.73583E+00 
                 −2.12382E+00 
               
               
                   
                 A6 = 
                 −7.06804E+00   
                 −5.62446E+00 
                   2.46306E+01 
                   1.01033E+01 
               
               
                   
                 A8 = 
                 −1.72158E+01   
                   1.96904E+01 
                 −2.14097E+02 
                 −4.02636E+01 
               
               
                   
                 A10 = 
                 8.52740E+01 
                   1.00740E+02 
                   1.17330E+03 
                   1.06276E+02 
               
               
                   
                 A12 = 
                 4.79654E+02 
                 −2.01751E+02 
                 −3.91183E+03 
                 −1.77404E+02 
               
               
                   
                 A14 = 
                 −5.54044E+03   
                 −9.63345E+02 
                   7.77524E+03 
                   1.78638E+02 
               
               
                   
                 A16 = 
                 1.16419E+04 
                 −5.33613E+00 
                 −8.46792E+03 
                 −1.05883E+02 
               
               
                   
                 A18 = 
                 6.99649E+04 
                   6.97327E+03 
                   3.92598E+03 
                   3.92300E+01 
               
               
                   
                 A20 = 
                 −3.30580E+05   
                 −4.71386E+03 
                 −6.97617E+01 
                 −1.03791E+01 
               
               
                   
               
            
           
         
       
     
     Table 1 is the detailed structure data to the first embodiment in  FIG. 1A , wherein the unit of the curvature radius, the thickness, the distance, and the focal length is millimeters (mm). Surfaces 0-14 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, wherein k is the conic coefficient in the aspheric surface formula, and A1-A20 are the first to the twentieth order aspheric surface coefficient. Besides, the tables in the following embodiments are referenced to the schematic view and the aberration graphs, respectively, and definitions of parameters in the tables are equal to those in the Table 1 and the Table 2, so the repetitious details will not be given here. 
     The Second Embodiment 
     Embodiment 2 
     Please refer to  FIG. 2A ,  FIG. 2B , and  FIG. 2C ,  FIG. 2A  is a schematic view of the optical image capturing system according to the second embodiment of the present application,  FIG. 2B  is longitudinal spherical aberration curves, astigmatic field curves, and an optical distortion curve of the optical image capturing system in the order from left to right according to the second embodiment of the present application, and  FIG. 2C  is a TV distortion grid of the optical image capturing system according to the second embodiment of the present application. As shown in  FIG. 2A , in order from an object side to an image side, the optical image capturing system includes 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-bandstop 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 an 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. The object-side surface  222  and the image-side surface  224  have two inflection points respectively. 
     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 , and both of the object-side surface  232  and the image-side surface  234  are aspheric. The object-side surface  232  has two inflection points and the image-side surface  234  has an 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 each of the object-side surface  242  and the image-side surface  244  has an inflection point. 
     The IR-bandstop filter  270  is made of glass material without affecting the focal length of the optical image capturing system and it is disposed between the fourth lens element  240  and the image plane  280 . 
     In the optical image capturing system of the second embodiment, focal lengths of the second lens element  220 , the third lens element  230  and the fourth lens element  240  are f2, f3 and f4, respectively. The following relations are satisfied: |f2|+|f3|=19.5250 mm, |f1|+|f4|=11.2428 mm, and |f2|+|f3|&gt;|f1|+|f4|. 
     In the optical image capturing system of the second embodiment, a central thickness of the third lens element  230  on the optical axis is TP3. A central thickness of the fourth lens element  240  is TP4. The following relations are satisfied: TP3=0.706599 mm and TP4=0.724601 mm. 
     In the optical image capturing system of the second embodiment, 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 f1 and f3, respectively. A sum of focal lengths of all lens elements with positive refractive power is ΣPP. The following relations is satisfied: ΣPP=f1+f3. Hereby, it is favorable for allocating the positive refractive power of the first lens element  210  to other positive lens elements and the significant aberrations generated in the process of moving the incident light can be suppressed. 
     In the optical image capturing system of the second embodiment, focal lengths of the second lens element  220  and the fourth lens element  240  are f2 and f4, respectively. A sum of focal lengths of all lens elements with negative refractive power is ΣNP. The following relation is satisfied: ΣNP=f2+f4. Hereby, it is favorable for allocating the negative refractive power of the fourth lens element  240  to other 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 = 3.437 mm; f/HEP = 1.6; HAF = 40.1804 deg; tan(HAF) = 0.8445                                         Surface                   Abbe   Focal       #   Curvature Radius   Thickness   Material   Index   #   length                                                     0   Object   Plano   6000                       1   Ape. stop   Plano   0.033                       2   Lens 1   2.362749114   1.135   Plastic   1.544   56.09   3.605       3       −9.776913344   0.032                       4   Lens 2   16.39752987   0.297   Plastic   1.642   22.46   −14.156       5       5.83832923   0.407                       6   Lens 3   −1.695154321   0.707   Plastic   1.544   56.09   5.36889       7       −1.232041944   0.032                       8   Lens 4   1.794309761   0.725   Plastic   1.544   56.09   −7.638       9       1.075558241   0.389                       10   IR-bandstop   Plano   0.285   BK7 —     1.517   64.13   1E+18           filter           SCHOTT                   11       Plano   0.880                       12   Image plane   Plano               Reference wavelength = 555 nm; The clear aperture of the third surface is 1.138 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 
               
               
                   
               
               
                 k = 
                 −3.449885E+01   
                 6.039504E+01 
                 0.000000E+00 
                 −1.912480E−01   
               
               
                 A4 = 
                 2.271403E−01 
                 −5.107006E−01   
                 −4.067825E−01   
                 8.408262E−02 
               
               
                 A6 = 
                 −3.155344E−01   
                 1.023728E+00 
                 4.858281E−01 
                 −4.167846E−01   
               
               
                 A8 = 
                 2.584481E−01 
                 −1.352903E+00   
                 −4.863892E−01   
                 6.245832E−01 
               
               
                 A10 = 
                 −1.023791E−01   
                 1.029311E+00 
                 2.450439E−01 
                 −6.156310E−01   
               
               
                 A12 = 
                 7.758555E−04 
                 −4.244112E−01   
                 −3.491576E−02   
                 3.159794E−01 
               
               
                 A14 = 
                 0.000000E+00 
                 7.458825E−02 
                 −2.797815E−03   
                 −6.105332E−02   
               
               
                 A16 = 
                 0.000000E+00 
                 0.000000E+00 
                 0.000000E+00 
                 0.000000E+00 
               
               
                 A18 = 
                 0.000000E+00 
                 0.000000E+00 
                 0.000000E+00 
                 0.000000E+00 
               
               
                 A20 = 
                 0.000000E+00 
                 0.000000E+00 
                 0.000000E+00 
                 0.000000E+00 
               
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                   
                 k = 
                 0.000000E+00 
                 −4.021380E+00 
                  0.000000E+00 
                 −3.169782E+00 
               
               
                   
                 A4 = 
                 4.076624E−01 
                 −3.883750E−02 
                 −1.837760E−01 
                 −1.510657E−01 
               
               
                   
                 A6 = 
                 −6.686224E−01  
                 −1.427072E−01 
                 −1.769283E−01 
                  9.501200E−02 
               
               
                   
                 A8 = 
                 9.278569E−01 
                   4.551725E−01 
                  4.489596E−01 
                 −4.287650E−02 
               
               
                   
                 A10 = 
                 −9.195647E−01  
                 −8.041956E−01 
                 −5.138780E−01 
                  1.011704E−02 
               
               
                   
                 A12 = 
                 4.929773E−01 
                   9.862341E−01 
                  3.501374E−01 
                 −4.116073E−04 
               
               
                   
                 A14 = 
                 −1.013001E−00  
                 −8.122088E−01 
                 −1.473040E−01 
                 −3.522061E−04 
               
               
                   
                 A16 = 
                 0.000000E+00 
                   4.225825E−01 
                  3.724658E−02 
                  7.506380E−05 
               
               
                   
                 A18 = 
                 0.000000E+00 
                 −1.214906E−01 
                 −5.143568E−03 
                 −4.824882E−06 
               
               
                   
                 A20 = 
                 0.000000E+00 
                   1.438891E−02 
                  −6.97617E+01 
                  −1.03791E+01 
               
               
                   
               
            
           
         
       
     
     In the second embodiment, the presentation of the aspheric surface formula is similar to that in the first embodiment. Besides, the definitions of parameters in following tables are equal to those in the first embodiment, so the repetitious details will not be given here. 
     The following contents may be deduced from Table 3 and Table 4. 
     
       
         
           
               
             
               
                   
               
               
                 Second embodiment (Primary reference wavelength = 555 nm) 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 InRS41 
                 InRS42 
                 HVT41 
                 HVT42 
                 |ODT|% 
                 |TDT|% 
               
               
                   
               
               
                 −0.09235 
                 −0.07093 
                 0.96780 
                 1.47572 
                 1.02842 
                 0.41694 
               
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 |f/f1| 
                 |f/f2| 
                 |f/f3| 
                 |f/f4| 
                 |f1/f2| 
                 |f2/f3| 
               
               
                   
               
               
                 0.95340 
                 0.24279 
                 0.64017 
                 0.45000 
                 0.25466 
                 2.63669 
               
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                   
                   
                   
                   
                 (TP4 + 
                   
               
               
                   
                   
                 ΣPPR/ 
                 (TP1 + IN12)/ 
                 IN34)/ 
               
               
                 ΣPPR 
                 ΣNPR 
                 |ΣNPR| 
                 TP2 
                 TP3 
                 (TP2 + TP3)/ΣTP 
               
               
                   
               
               
                 1.59357 
                 0.69279 
                 2.30022 
                 3.92577 
                 1.07123 
                 0.35059 
               
               
                   
               
            
           
           
               
               
               
               
               
            
               
                 ΣPP 
                 ΣNP 
                 f1/ΣPP 
                 f4/ΣNP 
                 IN12/f 
               
               
                   
               
               
                 8.97389 
                 −21.79392 
                 0.40172 
                 0.35046 
                 0.00944 
               
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                   
                   
                 HOS/ 
                   
                   
                   
               
               
                 InTL 
                 HOS 
                 HOI 
                 InS/HOS 
                 InTL/HOS 
                 ΣTP/InTL 
               
               
                   
               
               
                 3.33591 
                 4.88969 
                 1.66713 
                 1.00684 
                 0.68223 
                 0.85850 
               
               
                   
               
            
           
           
               
               
               
               
               
            
               
                   
                   
                   
                 HVT42/ 
                 HVT42/ 
               
               
                   
                 |InRS41|/TP4 
                 |InRS42|/TP4 
                 HOI 
                 HOS 
               
               
                   
                   
               
               
                   
                 0.12745 
                 0.09789 
                 0.50314 
                 0.30180 
               
               
                   
                   
               
            
           
         
       
     
     The following contents may be deduced from Table 3 and Table 4. 
     
       
         
           
               
             
               
                   
               
               
                 Related inflection point values of second embodiment (Primary reference wavelength: 555 nm) 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                 HIF111 
                 0.85808 
                 HIF111/HOI 
                 0.29256 
                 SGI111 
                 0.14476 
                 |SGI111|/(|SGI111| + TP1) 
                 0.11310 
               
               
                 HIF211 
                 0.11399 
                 HIF211/HOI 
                 0.03886 
                 SGI211 
                 0.00033 
                 |SGI211|/(|SGI211| + TP2) 
                 0.00110 
               
               
                 HIF212 
                 1.04619 
                 HIF212/HOI 
                 0.35670 
                 SGI212 
                 −0.19530 
                 |SGI212|/(|SGI212| + TP2) 
                 0.39636 
               
               
                 HIF221 
                 0.50827 
                 HIF221/HOI 
                 0.17329 
                 SGI221 
                 0.02275 
                 |SGI221|/(|SGI221| + TP2) 
                 0.07104 
               
               
                 HIF222 
                 1.12828 
                 HIF222/HOI 
                 0.38468 
                 SGI222 
                 −0.01759 
                 |SGI222|/(|SGI222| + TP2) 
                 0.05582 
               
               
                 HIF311 
                 1.04710 
                 HIF311/HOI 
                 0.35701 
                 SGI311 
                 −0.20595 
                 |SGI311|/(|SGI311| + TP3) 
                 0.22569 
               
               
                 HIF312 
                 1.24241 
                 HIF312/HOI 
                 0.42360 
                 SGI312 
                 −0.26717 
                 |SGI312|/(|SGI312| + TP3) 
                 0.27437 
               
               
                 HIF321 
                 0.95471 
                 HIF321/HOI 
                 0.32551 
                 SGI321 
                 −0.31312 
                 |SGI321|/(|SGI321| + TP3) 
                 0.30706 
               
               
                 HIF411 
                 0.49867 
                 HIF411/HOI 
                 0.17002 
                 SGI411 
                 0.05790 
                 |SGI411|/(|SGI411| + TP4) 
                 0.07400 
               
               
                 HIF421 
                 0.63347 
                 HIF421/HOI 
                 0.21598 
                 SGI421 
                 0.14135 
                 |SGI421|/(|SGI421| + TP4) 
                 0.16323 
               
               
                   
               
            
           
         
       
     
     The Third Embodiment 
     Embodiment 3 
     Please refer to  FIG. 3A ,  FIG. 3B , and  FIG. 3C ,  FIG. 3A  is a schematic view of the optical image capturing system according to the third embodiment of the present application,  FIG. 3B  is longitudinal spherical aberration curves, astigmatic field curves, and an optical distortion curve of the optical image capturing system in the order from left to right according to the third embodiment of the present application, and  FIG. 3C  is a TV distortion grid of the optical image capturing system according to the third embodiment of the present application. As shown in  FIG. 3A , in order from an object side to an image side, the optical image capturing system includes 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-bandstop 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. The object-side surface  312  has an 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 concave object-side surface  322  and a convex image-side surface  324 , both of the object-side surface  322  and the image-side surface  324  are aspheric. The object-side surface  322  and the image-side surface  324  have an inflection point respectively. 
     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 two inflection points and the image-side surface  334  has an 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. The object-side surface  342  and the image-side surface  344  have an inflection point respectively. 
     The IR-bandstop filter  370  is made of glass material without affecting the focal length of the optical image capturing system and it is disposed between the fourth lens element  340  and the image plane  380 . 
     In the optical image capturing system of the third embodiment, focal lengths of the second lens element  320 , the third lens element  330  and the fourth lens element  340  are f2, f3 and f4, respectively. The following relations are satisfied: |f2|+|f3|=15.6648 mm, |f1|+|f4|=10.7818 mm, and |f2|+|f3|&gt;|f1|+|f4|. 
     In the optical image capturing system of the third embodiment, a central thickness of the third lens element  330  on the optical axis is TP3. A central thickness of the fourth lens element  340  on the optical axis is TP4. The following relations are satisfied: TP3=0.7175 mm and TP4=0.7320 mm. 
     In the optical image capturing system of the third embodiment, a sum of focal lengths of all lens elements with positive refractive power is ΣPP. The following relation is satisfied: ΣPP=f1+f3. Hereby, it is favorable for allocating the positive refractive power of the first lens element  310  to other positive lens elements and the significant aberrations generated in the process of moving the incident light can be suppressed. 
     In the optical image capturing system of the third embodiment, a sum of focal lengths of all lens elements with negative refractive power is ΣNP. The following relation is satisfied: ΣNP=f2+4. Hereby, it is favorable for allocating the negative refractive power of the fourth lens element  340  to other negative lens elements. 
     Please refer to the following Table 5 and Table 6. 
     The detailed data of the optical image capturing system of the third embodiment is as shown in Table 5. 
                     TABLE 5                  Data of the optical image capturing system       f = 3.4370 mm; f/HEP = 1.8; HAF = 40.1754 deg; tan(HAF) = 0.8443                                         Surface                   Abbe   Focal       #   Curvature Radius   Thickness   Material   Index   #   length                                                     0   Object   Plano   6000                       1   Ape. stop   Plano   −0.056                       2   Lens 1   2.361802436   1.119   Plastic   1.544   56.09   3.266       3       −6.058454897   0.032                       4   Lens 2   49.1423935   0.297   Plastic   1.642   22.46   −10.192       5       5.805184251   0.408                       6   Lens 3   −1.570398797   0.718   Plastic   1.544   56.09   5.47294       7       −1.195396666   0.032                       8   Lens 4   1.791199997   0.732   Plastic   1.544   56.09   −7.515       9       1.066897269   0.385                       10   IR-bandstop   Plano   0.285   BK7 —     1.517   64.13   1E+18           filter           SCHOTT                   11       Plano   0.880                       12   Image plane   Plano               Reference wavelength = 555 nm; The clear aperture of the third surface is 1.138 mm; The clear aperture of the seventh surface is 1.332 mm.            
As for the parameters of the aspheric surfaces of the third embodiment, reference is made to Table 6.
 
     
       
         
           
               
             
               
                 TABLE 6 
               
               
                   
               
               
                 Aspheric Coefficients 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
            
               
                 Surface # 
                 2 
                 3 
                 4 
                 5 
               
               
                   
               
               
                 k = 
                 −3.449885E+01   
                 2.006889E+01 
                 0.000000E+00 
                 −1.912480E−01   
               
               
                 A4 = 
                 2.354512E−01 
                 −4.455576E−01   
                 −3.461670E−01   
                 9.423063E−02 
               
               
                 A6 = 
                 −3.487617E−01   
                 7.874952E−01 
                 1.466313E−01 
                 −5.289731E−01   
               
               
                 A8 = 
                 3.093369E−01 
                 −1.036286E+00   
                 1.074601E−01 
                 8.594321E−01 
               
               
                 A10 = 
                 −1.394560E−01   
                 8.603605E−01 
                 −2.110428E−01   
                 −8.715648E−01   
               
               
                 A12 = 
                 2.148087E−03 
                 −4.130137E−01   
                 1.103074E−01 
                 4.655608E−01 
               
               
                 A14 = 
                 0.000000E+00 
                 8.580632E−02 
                 −1.255014E−02   
                 −9.662379E−02   
               
               
                 A16 = 
                 0.000000E+00 
                 0.000000E+00 
                 0.000000E+00 
                 0.000000E+00 
               
               
                 A18 = 
                 0.000000E+00 
                 0.000000E+00 
                 0.000000E+00 
                 0.000000E+00 
               
               
                 A20 = 
                 0.000000E+00 
                 0.000000E+00 
                 0.000000E+00 
                 0.000000E+00 
               
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                   
                 k = 
                 0.000000E+00 
                 −3.590645E+00 
                   0.000000E+00 
                 −3.190141E+00 
               
               
                   
                 A4 = 
                 4.170165E−01 
                 −3.570293E−02 
                 −1.861088E−01 
                 −1.477399E−01 
               
               
                   
                 A6 = 
                 −6.919029E−01   
                 −1.431365E−01 
                 −1.544105E−01 
                   8.512592E−02 
               
               
                   
                 A8 = 
                 9.832836E−01 
                   4.751444E−01 
                   3.696320E−01 
                 −3.398930E−02 
               
               
                   
                 A10 = 
                 −1.085177E+00   
                 −1.030356E+00 
                 −3.982809E−01 
                   5.915788E−03 
               
               
                   
                 A12 = 
                 6.679727E−01 
                   1.544853E+00 
                   2.567902E−01 
                   7.065246E−04 
               
               
                   
                 A14 = 
                 −1.566252E−01   
                 −1.490836E+00 
                 −1.025376E−01 
                 −5.167607E−04 
               
               
                   
                 A16 = 
                 0.000000E+00 
                   8.724035E−01 
                   2.465560E−02 
                   8.715309E−05 
               
               
                   
                 A18 = 
                 0.000000E+00 
                 −2.753533E−01 
                 −3.237267E−03 
                 −5.146845E−06 
               
               
                   
                 A20 = 
                 0.000000E+00 
                   3.553415E−02 
                   1.729983E−04 
                   0.000000E+00 
               
               
                   
               
            
           
         
       
     
     The presentation of the aspheric surface formula in the third embodiment is similar to that in the first embodiment. Besides, the definitions of parameters in following tables are equal to those in the first embodiment so the repetitious details will not be given here. 
     The following contents may be deduced from Table 5 and Table 6. 
     
       
         
           
               
             
               
                   
               
               
                 Third embodiment (Primary reference wavelength: 555 nm) 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 InRS41 
                 InRS42 
                 HVT41 
                 HVT42 
                 |ODT|% 
                 |TDT|% 
               
               
                   
               
               
                 −0.10243 
                 −0.09258 
                 0.95114 
                 1.45520 
                 1.02743 
                 0.44319 
               
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 |f/f1| 
                 |f/f2| 
                 |f/f3| 
                 |f/f4| 
                 |f1/f2| 
                 |f2/f3| 
               
               
                   
               
               
                 1.05222 
                 0.33723 
                 0.62800 
                 0.45733 
                 0.32049 
                 1.86223 
               
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                   
                   
                   
                   
                 (TP4 + 
                   
               
               
                   
                   
                 ΣPPR/ 
                 (TP1 + IN12)/ 
                 IN34)/ 
               
               
                 ΣPPR 
                 ΣNPR 
                 |ΣNPR| 
                 TP2 
                 TP3 
                 (TP2 + TP3)/ΣTP 
               
               
                   
               
               
                 1.68022 
                 0.79456 
                 2.11465 
                 3.87230 
                 1.06523 
                 0.35409 
               
               
                   
               
            
           
           
               
               
               
               
               
            
               
                 ΣPP 
                 ΣNP 
                 f1/ΣPP 
                 f4/ΣNP 
                 IN12/f 
               
               
                   
               
               
                 8.73936 
                 −17.70723 
                 0.37376 
                 0.42442 
                 0.00941 
               
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                   
                   
                 HOS/ 
                   
                   
                   
               
               
                 InTL 
                 HOS 
                 HOI 
                 InS/HOS 
                 InTL/HOS 
                 ΣTP/InTL 
               
               
                   
               
               
                 3.33896 
                 4.88830 
                 1.66666 
                 0.98865 
                 0.68305 
                 0.85846 
               
               
                   
               
            
           
           
               
               
               
               
               
            
               
                   
                   
                   
                 HVT42/ 
                 HVT42/ 
               
               
                   
                 |InRS41|/TP4 
                 |InRS42|/TP4 
                 HOI 
                 HOS 
               
               
                   
                   
               
               
                   
                 0.13994 
                 0.12649 
                 0.49615 
                 0.29769 
               
               
                   
                   
               
            
           
         
       
     
     The following contents may be deduced from Table 5 and Table 6. 
     
       
         
           
               
             
               
                   
               
               
                 Related inflection point values of third embodiment (Primary reference wavelength: 555 nm) 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                 HIF111 
                 0.80742 
                 HIF111/HOI 
                 0.27529 
                 SGI111 
                 0.12886 
                 |SGI111|/(|SGI111| + TP1) 
                 0.10323 
               
               
                 HIF211 
                 0.07016 
                 HIF211/HOI 
                 0.02392 
                 SGI211 
                 0.00004 
                 |SGI211|/(|SGI211| + TP2) 
                 0.00014 
               
               
                 HIF221 
                 0.47776 
                 HIF221/HOI 
                 0.16289 
                 SGI221 
                 0.02016 
                 |SGI221|/(|SGI221| + TP2) 
                 0.06348 
               
               
                 HIF311 
                 1.00588 
                 HIF311/HOI 
                 0.34295 
                 SGI311 
                 −0.22776 
                 |SGI311|/(|SGI311| + TP3) 
                 0.24095 
               
               
                 HIF312 
                 1.17663 
                 HIF312/HOI 
                 0.40117 
                 SGI312 
                 −0.29743 
                 |SGI312|/(|SGI312| + TP3) 
                 0.29306 
               
               
                 HIF321 
                 0.97785 
                 HIF321/HOI 
                 0.33340 
                 SGI321 
                 −0.34608 
                 |SGI321|/(|SGI321| + TP3) 
                 0.32539 
               
               
                 HIF411 
                 0.49755 
                 HIF411/HOI 
                 0.16964 
                 SGI411 
                 0.05781 
                 |SGI411|/(|SGI411| + TP4) 
                 0.07320 
               
               
                 HIF421 
                 0.62570 
                 HIF421/HOI 
                 0.21333 
                 SGI421 
                 0.13961 
                 |SGI421|/(|SGI421| + TP4) 
                 0.16018 
               
               
                   
               
            
           
         
       
     
     The Fourth Embodiment 
     Embodiment 4 
     Please refer to  FIG. 4A ,  FIG. 4B , and  FIG. 4C ,  FIG. 4A  is a schematic view of the optical image capturing system according to the fourth embodiment of the present application,  FIG. 4B  is longitudinal spherical aberration curves, astigmatic field curves, and an optical distortion curve of the optical image capturing system in the order from left to right according to the fourth embodiment of the present application, and  FIG. 4C  is a TV distortion grid of the optical image capturing system according to the fourth embodiment of the present application. As shown in  FIG. 4A , in order from an object side to an image side, the optical image capturing system includes 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-bandstop 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 , both of the object-side surface  412  and the image-side surface  414  are aspheric, and the object-side surface  412  has an 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 , both of the object-side surface  422  and the image-side surface  424  are aspheric. The object-side surface  422  has two 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 four inflection points and the image-side surface  434  has an 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, and the object-side surface  442  and the image-side surface  444  has an inflection point respectively. 
     The IR-bandstop filter  470  is made of glass material without affecting the focal length of the optical image capturing system and it is disposed between the fourth lens element  440  and the image plane  480 . 
     In the optical image capturing system of the fourth embodiment, focal lengths of the second lens element  420 , the third lens element  430  and the fourth lens element  440  are f2, f3 and f4, respectively. The following relations are satisfied: |f2|+|f3|=13.9230 mm, |f1|+|f4|=7.7981 mm, and |f2|+|f3|&gt;|f1|+|f4|. 
     In the optical image capturing system of the fourth embodiment, a central thickness of the third lens element  430  on the optical axis is TP3. A central thickness of the fourth lens element  440  on the optical axis is TP4. The following relations are satisfied: TP3=0.770079 mm and TP4=0.638552 mm. 
     In the optical image capturing system of the fourth embodiment, a sum of focal lengths of all lens elements with positive refractive power is ΣPP. The following relation is satisfied: ΣPP=f1+f3. Hereby, it is favorable for allocating the positive refractive power of the first lens element  410  to other positive lens elements and the significant aberrations generated in the process of moving the incident light can be suppressed. 
     In the optical image capturing system of the fourth embodiment, a sum of focal lengths of all lens elements with negative refractive power is ΣNP. The following relation is satisfied: ΣNP=f2+f4. Hereby, it is favorable for allocating the negative refractive power of the fourth lens element  440  to other 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 = 3.437 mm; f/HEP = 2.0; HAF = 40.1805 deg; tan(HAF) = 0.8445 
               
            
           
           
               
               
               
               
               
               
               
            
               
                 Surface 
                   
                   
                   
                   
                 Abbe 
                 Focal 
               
               
                 # 
                 Curvature Radius 
                 Thickness 
                 Material 
                 Index 
                 # 
                 length 
               
               
                   
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                 0 
                 Object 
                 Plano 
                 6000 
                   
                   
                   
                   
               
               
                 1 
                 Ape. stop 
                 Plano 
                 −0.067 
                   
                   
                   
                   
               
               
                 2 
                 Lens 1 
                 2.136904645 
                 0.885 
                 Plastic 
                 1.535 
                 56.07 
                 3.841 
               
               
                 3 
                   
                 −49.14234972 
                 0.219 
                   
                   
                   
                   
               
               
                 4 
                 Lens 2 
                 49.14234972 
                 0.404 
                 Plastic 
                 1.642 
                 22.46 
                 −10.924 
               
               
                 5 
                   
                 6.164502095 
                 0.239 
                   
                   
                   
                   
               
               
                 6 
                 Lens 3 
                 −1.905944244 
                 0.770 
                 Plastic 
                 1.544 
                 56.09 
                 2.99884 
               
               
                 7 
                   
                 −1.00626839 
                 0.118 
                   
                   
                   
                   
               
               
                 8 
                 Lens 4 
                 2.287896474 
                 0.639 
                 Plastic 
                 1.544 
                 56.09 
                 −3.957 
               
               
                 9 
                   
                 1.001519375 
                 0.402 
                   
                   
                   
                   
               
               
                 10 
                 IR-bandstop 
                 Plano 
                 0.285 
                 BK7 —   
                 1.517 
                 64.13 
                   
               
               
                   
                 filter 
                   
                   
                 SCHOTT 
                   
                   
                   
               
               
                 11 
                   
                 Plano 
                 0.880 
                   
                   
                   
                   
               
               
                 12 
                 Image plane 
                 Plano 
               
               
                   
               
               
                 Reference wavelength = 555 nm; The clear aperture of the third surface is 1.073 mm. 
               
            
           
         
       
     
     As for the parameters of the aspheric surfaces of the fourth embodiment, reference is made to Table 8. 
     
       
         
           
               
             
               
                 TABLE 8 
               
               
                   
               
               
                 Aspheric Coefficients 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
            
               
                 Surface # 
                 2 
                 3 
                 4 
                 5 
               
               
                   
               
               
                 k = 
                 −2.451847E+01   
                 0.000000E+00 
                 0.000000E+00 
                 −1.912480E−01   
               
               
                 A4 = 
                 2.477210E−01 
                 −1.526332E−01   
                 −1.867079E−01   
                 1.000325E−01 
               
               
                 A6 = 
                 −3.696910E−01   
                 −4.303510E−02   
                 −3.632446E−01   
                 −4.846364E−01   
               
               
                 A8 = 
                 3.333336E−01 
                 −9.633455E−03   
                 3.014650E−01 
                 6.353467E−01 
               
               
                 A10 = 
                 −1.602527E−01   
                 6.980876E−02 
                 2.413386E−01 
                 −5.786242E−01   
               
               
                 A12 = 
                 0.000000E+00 
                 −3.681101E−02   
                 −2.975146E−01   
                 3.279254E−01 
               
               
                 A14 = 
                 0.000000E+00 
                 0.000000E+00 
                 8.141313E−02 
                 −7.591831E−02   
               
               
                 A16 = 
                 0.000000E+00 
                 0.000000E+00 
                 0.000000E+00 
                 0.000000E+00 
               
               
                 A18 = 
                 0.000000E+00 
                 0.000000E+00 
                 0.000000E+00 
                 0.000000E+00 
               
               
                 A20 = 
                 0.000000E+00 
                 0.000000E+00 
                 0.000000E+00 
                 0.000000E+00 
               
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                   
                 k = 
                 0.000000E+00 
                 −3.526982E+00 
                 0.000000E+00 
                 −2.320668E+00 
               
               
                   
                 A4 = 
                 4.094289E−01 
                   5.705838E−04 
                 2.494211E−02 
                 −2.277077E−01 
               
               
                   
                 A6 = 
                 −4.902153E−01   
                 −1.456957E−01 
                 −6.101258E−01   
                   1.519293E−01 
               
               
                   
                 A8 = 
                 5.604666E−01 
                 −9.084550E−02 
                 1.037903E+00 
                 −6.752350E−02 
               
               
                   
                 A10 = 
                 −6.636404E−01   
                   9.668232E−01 
                 −1.007629E+00   
                   1.713067E−02 
               
               
                   
                 A12 = 
                 4.460668E−01 
                 −1.678848E+00 
                 6.175128E−01 
                 −1.867309E−03 
               
               
                   
                 A14 = 
                 −1.111103E−01   
                   1.441415E+00 
                 −2.421501E−01   
                 −1.153969E−04 
               
               
                   
                 A16 = 
                 0.000000E+00 
                 −6.742358E−01 
                 5.908058E−02 
                   4.857463E−05 
               
               
                   
                 A18 = 
                 0.000000E+00 
                   1.643214E−01 
                 −8.190591E−03   
                 −3.442603E−06 
               
               
                   
                 A20 = 
                 0.000000E+00 
                 −1.639732E−02 
                 4.933925E−04 
                   0.000000E+00 
               
               
                   
               
            
           
         
       
     
     The presentation of the aspheric surface formula in the fourth embodiment is similar to that in the first embodiment. Besides the definitions of parameters in following tables are equal to those in the first embodiment so the repetitious details will not be given here. 
     The following contents may be deduced from Table 7 and Table 8. 
     
       
         
           
               
             
               
                   
               
               
                 Fourth embodiment (Primary reference wavelength: 555 nm) 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 InRS41 
                 InRS42 
                 HVT41 
                 HVT42 
                 |ODT|% 
                 |TDT|% 
               
               
                   
               
               
                 −0.10037 
                 0.00486 
                 0.96886 
                 1.47697 
                 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 
               
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                   
                   
                   
                   
                 (TP4 + 
                   
               
               
                   
                   
                 ΣPPR/ 
                 (TP1 + IN12)/ 
                 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 
               
               
                   
               
               
                 6.84019 
                 −14.88090 
                 0.56159 
                 0.26589 
                 0.06381 
               
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                   
                   
                 HOS/ 
                   
                   
                   
               
               
                 InTL 
                 HOS 
                 HOI 
                 InS/HOS 
                 InTL/HOS 
                 ΣTP/InTL 
               
               
                   
               
               
                 3.27369 
                 4.83949 
                 1.65001 
                 0.98626 
                 0.67645 
                 0.82414 
               
               
                   
               
            
           
           
               
               
               
               
               
            
               
                   
                   
                   
                 HVT42/ 
                 HVT42/ 
               
               
                   
                 |InRS41|/TP4 
                 |InRS42|/TP4 
                 HOI 
                 HOS 
               
               
                   
                   
               
               
                   
                 0.15718 
                 0.00762 
                 0.50357 
                 0.30519 
               
               
                   
                   
               
            
           
         
       
     
     The following contents may be deduced from Table 7 and Table 8. 
     
       
         
           
               
             
               
                   
               
               
                 Related inflection point values of fourth embodiment (Primary reference wavelength: 555 nm) 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                 HIF111 
                 0.77699 
                 HIF111/HOI 
                 0.26491 
                 SGI111 
                 0.13370 
                 |SGI111|/(|SGI111| + TP1) 
                 0.13120 
               
               
                 HIF211 
                 0.09335 
                 HIF211/HOI 
                 0.03183 
                 SGI211 
                 0.00007 
                 |SGI211|/(|SGI211| + TP2) 
                 0.00018 
               
               
                 HIF212 
                 0.91197 
                 HIF212/HOI 
                 0.31093 
                 SGI212 
                 −0.16543 
                 |SGI212|/(|SGI212| + TP2) 
                 0.29051 
               
               
                 HIF221 
                 0.46982 
                 HIF221/HOI 
                 0.16019 
                 SGI221 
                 0.01883 
                 |SGI221|/(|SGI221| + TP2) 
                 0.04453 
               
               
                 HIF222 
                 1.02287 
                 HIF222/HOI 
                 0.34875 
                 SGI222 
                 0.00164 
                 |SGI222|/(|SGI222| + TP2) 
                 0.00403 
               
               
                 HIF223 
                 1.17431 
                 HIF223/HOI 
                 0.40038 
                 SGI223 
                 −0.02076 
                 |SGI223|/(|SGI223| + TP2) 
                 0.04888 
               
               
                 HIF311 
                 0.45118 
                 HIF311/HOI 
                 0.15383 
                 SGI311 
                 −0.04058 
                 |SGI311|/(|SGI311| + TP3) 
                 0.05006 
               
               
                 HIF312 
                 0.62221 
                 HIF312/HOI 
                 0.21214 
                 SGI312 
                 −0.06333 
                 |SGI312|/(|SGI312| + TP3) 
                 0.07599 
               
               
                 HIF313 
                 1.04360 
                 HIF313/HOI 
                 0.35581 
                 SGI313 
                 −0.14463 
                 |SGI313|/(|SGI313| + TP3) 
                 0.15811 
               
               
                 HIF314 
                 1.13466 
                 HIF314/HOI 
                 0.38686 
                 SGI314 
                 −0.16967 
                 |SGI314|/(|SGI314| + TP3) 
                 0.18055 
               
               
                 HIF321 
                 0.93220 
                 HIF321/HOI 
                 0.31783 
                 SGI321 
                 −0.33892 
                 |SGI321|/(|SGI321| + TP3) 
                 0.30561 
               
               
                 HIF411 
                 0.51163 
                 HIF411/HOI 
                 0.17444 
                 SGI411 
                 0.05252 
                 |SGI411|/(|SGI411| + TP4) 
                 0.07600 
               
               
                 HIF421 
                 0.60777 
                 HIF421/HOI 
                 0.20722 
                 SGI421 
                 0.14164 
                 |SGI421|/(|SGI421| + TP4) 
                 0.18155 
               
               
                   
               
            
           
         
       
     
     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 fifths 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 , in order from an object side to an image side, the optical image capturing system includes 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-bandstop 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 an 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. The object-side surface  522  has three inflection points and the image-side surface  524  has an inflection point. 
     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 , and both of the object-side surface  532  and the image-side surface  534  are aspheric. The object-side surface  532  has two inflection points and the image-side surface  534  has an 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. The object-side surface  542  has two inflection points and the image-side surface  544  has an inflection point. 
     The IR-bandstop filter  570  is made of glass material without affecting the focal length of the optical image capturing system and it is disposed between the fourth lens element  540  and the image plane  580 . 
     In the optical image capturing system of the fifth embodiment, focal lengths of the second lens element  520 , the third lens element  530  and the fourth lens element  540  are f2, f3 and f4, respectively. The following relations are satisfied: |f2|+|f3|=13.8666 mm, |f1|+|f4|=12.0900 mm, and |f2|+|f3|&gt;|f1|+|f4|. 
     In the optical image capturing system of the fifth embodiment, a central thickness of the third lens element  530  on the optical axis is TP3. A central thickness of the fourth lens element  540  is TP4. The following relations are satisfied: TP3=0.4510 mm and TP4=0.6737 mm. 
     In the optical image capturing system of the fifth embodiment, a sum of focal lengths of all lens elements with positive refractive power is ΣPP. The following relation is satisfied: ΣPP=f1+f3. Hereby, it is favorable for allocating the positive refractive power of the first lens element  510  to other positive lens elements and the significant aberrations generated in the process of moving the incident light can be suppressed. 
     In the optical image capturing system of the fifth embodiment, a sum of focal lengths of all lens elements with negative refractive power is ΣNP. The following relation is satisfied: ΣNP=f2+f4. Hereby, it is favorable for allocating the negative refractive power of the fourth lens element  540  to other 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 = 3.4370 mm; f/HEP = 2.2; HAF = 40.1714 deg; tan(HAF) = 0.8442                                         Surface                   Abbe   Focal       #   Curvature Radius   Thickness   Material   Index   #   length                                                     0   Object   Plano   6000                       1   Ape. stop   Plano   −0.146                       2   Lens 1   1.917347872   0.766   Plastic   1.544   56.09   3.340       3       −31.91081104   0.121                       4   Lens 2   49.14606595   0.302   Plastic   1.642   22.46   −8.078       5       4.717046947   0.402                       6   Lens 3   −2.061135546   0.451   Plastic   1.544   56.09   5.78819       7       −1.343786237   0.249                       8   Lens 4   1.860359723   0.674   Plastic   1.544   56.09   −8.750       9       1.167657111   0.291                       10   IR-bandstop   Plano   0.285   BK_7   1.517   64.13               filter                               11       Plano   0.880                       12   Image plane   Plano               Reference wavelength = 555 nm; The clear aperture of the eighth surface is 1.798 mm.            
As for the parameters of the aspheric surfaces of the fifth embodiment, reference is made to Table 10.
 
     
       
         
           
               
             
               
                 TABLE 10 
               
               
                   
               
               
                 Aspheric Coefficients 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
            
               
                 Surface # 
                 2 
                 3 
                 4 
                 5 
               
               
                   
               
               
                 k = 
                 −2.988492E+01   
                 0.000000E+00 
                 0.000000E+00 
                 −1.912480E−01   
               
               
                 A4 = 
                 4.122835E−01 
                 −1.480524E−01   
                 −1.301139E−01   
                 3.174770E−02 
               
               
                 A6 = 
                 −8.168213E−01   
                 −7.112429E−03   
                 −3.549353E−01   
                 −2.074911E−01   
               
               
                 A8 = 
                 9.391639E−01 
                 −4.075234E−01   
                 3.872556E−01 
                 2.183081E−01 
               
               
                 A10 = 
                 −4.887561E−01   
                 1.061107E+00 
                 2.728772E−01 
                 −4.539239E−02   
               
               
                 A12 = 
                 0.000000E+00 
                 −6.931884E−01   
                 −2.084332E−01   
                 −3.216108E−02   
               
               
                 A14 = 
                 0.000000E+00 
                 0.000000E+00 
                 −1.137137E−01   
                 7.738940E−03 
               
               
                 A16 = 
                 0.000000E+00 
                 0.000000E+00 
                 0.000000E+00 
                 0.000000E+00 
               
               
                 A18 = 
                 0.000000E+00 
                 0.000000E+00 
                 0.000000E+00 
                 0.000000E+00 
               
               
                 A20 = 
                 0.000000E+00 
                 0.000000E+00 
                 0.000000E+00 
                 0.000000E+00 
               
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                   
                 k = 
                 0.000000E+00 
                 −4.777153E+00 
                 0.000000E+00 
                 −3.628721E+00   
               
               
                   
                 A4 = 
                 2.434340E−01 
                 −2.839159E−01 
                 −4.330723E−01   
                 −1.873545E−01   
               
               
                   
                 A6 = 
                 −3.974688E−01   
                   4.271559E−01 
                 2.910066E−01 
                 1.191542E−01 
               
               
                   
                 A8 = 
                 7.861196E−01 
                 −5.158492E−01 
                 −1.678774E−01   
                 −5.178869E−02   
               
               
                   
                 A10 = 
                 −9.494554E−01   
                   6.316122E−01 
                 5.804297E−02 
                 1.065338E−02 
               
               
                   
                 A12 = 
                 6.484277E−01 
                 −6.110577E−01 
                 −9.712275E−03   
                 5.070161E−04 
               
               
                   
                 A14 = 
                 −1.929169E−01   
                   5.448065E−01 
                 1.825935E−03 
                 −7.535001E−04   
               
               
                   
                 A16 = 
                 0.000000E+00 
                 −3.386328E−01 
                 −1.279563E−03   
                 1.462378E−04 
               
               
                   
                 A18 = 
                 0.000000E+00 
                   1.079540E−01 
                 4.270377E−04 
                 −9.673083E−06   
               
               
                   
                 A20 = 
                 0.000000E+00 
                 −1.296887E−02 
                 −4.804801E−05   
                 0.000000E+00 
               
               
                   
               
            
           
         
       
     
     The presentation of the aspheric surface formula in the fifth embodiment is similar to that in the first embodiment. Besides the definitions of parameters in following tables are equal to those in the first embodiment so the repetitious details will not be given here. 
     The following contents may be deduced from Table 9 and Table 10. 
     
       
         
           
               
             
               
                   
               
               
                 Fifth embodiment (Primary reference wavelength: 555 nm) 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 InRS41 
                 InRS42 
                 HVT41 
                 HVT42 
                 |ODT|% 
                 |TDT|% 
               
               
                   
               
               
                 −0.21866 
                 −0.26764 
                 0.72552 
                 1.26178 
                 1.03229 
                 0.45710 
               
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 |f/f1| 
                 |f/f2| 
                 |f/f3| 
                 |f/f4| 
                 |f1/f2| 
                 |f2/f3| 
               
               
                   
               
               
                 1.02902 
                 0.42545 
                 0.59380 
                 0.39280 
                 0.41345 
                 1.39568 
               
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                   
                   
                   
                   
                 (TP4 + 
                   
               
               
                   
                   
                 ΣPPR 
                 (TP1 + IN12)/ 
                 IN34)/ 
               
               
                 ΣPPR 
                 ΣNPR 
                 |ΣNPR| 
                 TP2 
                 TP3 
                 (TP2 + TP3)/ΣTP 
               
               
                   
               
               
                 1.62282 
                 0.81826 
                 1.98326 
                 2.93366 
                 2.04579 
                 0.34356 
               
               
                   
               
            
           
           
               
               
               
               
               
            
               
                 ΣPP 
                 ΣNP 
                 f1/ΣPP 
                 f4/ΣNP 
                 IN12/f 
               
               
                   
               
               
                 9.12826 
                 −16.82838 
                 0.36590 
                 0.51995 
                 0.03528 
               
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                   
                   
                 HOS/ 
                   
                   
                   
               
               
                 InTL 
                 HOS 
                 HOI 
                 InS/HOS 
                 InTL/HOS 
                 ΣTP/InTL 
               
               
                   
               
               
                 2.96461 
                 4.41990 
                 1.50696 
                 0.96702 
                 0.67074 
                 0.73962 
               
               
                   
               
            
           
           
               
               
               
               
               
            
               
                   
                   
                   
                 HVT42/ 
                 HVT42/ 
               
               
                   
                 |InRS41|/TP4 
                 |InRS42|/TP4 
                 HOI 
                 HOS 
               
               
                   
                   
               
               
                   
                 0.32455 
                 0.39725 
                 0.43020 
                 0.28548 
               
               
                   
                   
               
            
           
         
       
     
     The following contents may be deduced from Table 9 and Table 10. 
     
       
         
           
               
             
               
                   
               
               
                 Related inflection point values of fifth embodiment (Primary reference wavelength: 555 nm) 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                 HIF111 
                 0.75433 
                 HIF111/HOI 
                 0.25719 
                 SGI111 
                 0.14118 
                 |SGI111|/(|SGI111| + TP1) 
                 0.15569 
               
               
                 HIF211 
                 0.10986 
                 HIF211/HOI 
                 0.03746 
                 SGI211 
                 0.00010 
                 |SGI211|/(|SGI211| + TP2) 
                 0.00034 
               
               
                 HIF212 
                 0.77188 
                 HIF212/HOI 
                 0.26317 
                 SGI212 
                 −0.05826 
                 |SGI212|/(|SGI212| + TP2) 
                 0.16158 
               
               
                 HIF213 
                 0.83483 
                 HIF213/HOI 
                 0.28463 
                 SGI213 
                 −0.07299 
                 |SGI213|/(|SGI213| + TP2) 
                 0.19449 
               
               
                 HIF221 
                 0.94796 
                 HIF221/HOI 
                 0.32320 
                 SGI221 
                 0.07360 
                 |SGI221|/(|SGI221| + TP2) 
                 0.19579 
               
               
                 HIF311 
                 0.59161 
                 HIF311/HOI 
                 0.20171 
                 SGI311 
                 −0.06607 
                 |SGI311|/(|SGI311| + TP3) 
                 0.12778 
               
               
                 HIF312 
                 0.96574 
                 HIF312/HOI 
                 0.32927 
                 SGI312 
                 −0.11781 
                 |SGI312|/(|SGI312| + TP3) 
                 0.20712 
               
               
                 HIF321 
                 0.76520 
                 HIF321/HOI 
                 0.26089 
                 SGI321 
                 −0.21927 
                 |SGI321|/(|SGI321| + TP3) 
                 0.32714 
               
               
                 HIF411 
                 0.37037 
                 HIF411/HOI 
                 0.12628 
                 SGI411 
                 0.02979 
                 |SGI411|/(|SGI411| + TP4) 
                 0.04234 
               
               
                 HIF412 
                 1.43744 
                 HIF412/HOI 
                 0.49009 
                 SGI412 
                 −0.13869 
                 |SGI412|/(|SGI412| + TP4) 
                 0.17071 
               
               
                 HIF421 
                 0.55271 
                 HIF421/HOI 
                 0.18845 
                 SGI421 
                 0.10123 
                 |SGI421|/(|SGI421| + TP4) 
                 0.13062 
               
               
                   
               
            
           
         
       
     
     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 , in order from an object side to an image side, the optical image capturing system includes 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-bandstop 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 an 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. The object-side surface  632  has two inflection points and the image-side surface  634  has an 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 , both of the object-side surface  642  and the image-side surface  644  are aspheric. The object-side surface  642  and the image-side surface  644  have an inflection point respectively. 
     The IR-bandstop 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 optical image capturing system of the sixth Embodiment, focal lengths of the second lens element  620 , the third lens element  630  and the fourth lens element  640  are f2, f3 and f4, respectively. The following relations are satisfied: |f2|+|f3|=6.3879 mm, |f1|+|f4|=7.3017 mm, and |f2|+|f3|&lt;|f1|+|f4|. 
     In the optical image capturing system of the sixth Embodiment, a central thickness of the third lens element  630  on the optical axis is TP3. A central thickness of the fourth lens element  640  on the optical axis is TP4. The following relations are satisfied: TP3=0.342 mm and TP4=0.876 mm. 
     In the optical image capturing system of the sixth Embodiment, a sum of focal lengths of all lens elements with positive refractive power is ΣPP. The following relations are satisfied: ΣPP=f1+f2+f4=10.9940 mm and f1/(f1+f2+f4)=0.2801. Hereby, it is favorable for allocating the positive refractive power of the first lens element  610  to other positive lens elements and the significant aberrations generated in the process of moving the incident light can be suppressed. 
     In the optical image capturing system of the sixth Embodiment, a sum of focal lengths of all lens elements with negative refractive power is ΣNP. The following relations are satisfied: ΣNP=f3=−2.6956 mm and f3/(f3)=0.0340. Hereby, it is favorable for allocating the negative refractive power of the fourth lens element  640  to other 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 = 1.6; HAF = 40.700 deg; tan(HAF) = 0.8601                                         Surface#   Curvature Radius   Thickness   Material   Index   Abbe #   Focal length                                                     0   Object   Plano   600                       1   Lens 1/Ape. stop   1.71292   0.38171   Plastic   1.54410   56.06368   3.07935       2       −82.93521   0.06127       3   Shading sheet   Plano   0.32214       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-bandstop filter   Plano   0.21   BK_7   1.51680   64.13477       11       Plano   0.51339       12   Image plane   Plano               Reference wavelength = 555 nm; The clear aperture of the third surface is 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 
               
               
                   
                   
               
            
           
         
       
     
     In the sixth Embodiment, the presentation of the aspheric surface formula is similar to that in the first embodiment. Besides, the definitions of parameters in following tables are equal to those in the first embodiment, so the repetitious details will not be given here. 
     The following contents may be deduced from Table 11 and Table 12. 
     
       
         
           
               
             
               
                   
               
               
                 Sixth Embodiment (Primary reference wavelength: 555 nm) 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 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 
                 HOS 
                 HOS/HOI 
                 InS/HOS 
                 InTL/HOS 
                 ΣTP/InTL 
               
               
                   
               
               
                 2.75540 
                 3.88456 
                 1.68894 
                 0.97363 
                 0.70932 
                 0.78347 
               
               
                   
               
            
           
           
               
               
               
            
               
                 (TP1 + IN12)/ 
                 (TP4 + IN34)/ 
                   
               
               
                 TP2 
                 TP3 
                 (TP2 + TP3)/ΣTP 
               
               
                   
               
               
                 1.36860 
                 2.65446 
                 0.41728 
               
               
                   
               
            
           
           
               
               
               
               
               
            
               
                   
                   
                   
                   
                 HVT42/ 
               
               
                   
                 |InRS41|/TP4 
                 |InRS42|/TP4 
                 HVT42/HOI 
                 HOS 
               
               
                   
                   
               
               
                   
                 0.13435 
                 0.05633 
                 0.60842 
                 0.36024 
               
               
                   
                   
               
            
           
         
       
     
     The following contents may be deduced from Table 11 and Table 12. 
     
       
         
           
               
             
               
                   
               
               
                 Related inflection point values of sixth Embodiment (Primary reference wavelength: 555 nm) 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                 HIF111 
                 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 , in order from an object side to an image side, the optical image capturing system includes 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-bandstop 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 , both of the object-side surface  712  and the image-side surface  714  are aspheric, and the object-side surface  712  has an 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 , both of the object-side surface  722  and the image-side surface  724  are aspheric. The object-side surface  722  and the image-side surface  724  have two inflection points respectively. 
     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 , both of the object-side surface  732  and the image-side surface  734  are aspheric. The object-side surface  732  has three inflection points and the image-side surface  734  has an 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 , both of the object-side surface  742  and the image-side surface  744  are aspheric. The object-side surface  742  and the image-side surface  744  have an inflection point respectively. 
     The IR-bandstop 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 optical image capturing system of the seventh embodiment, focal lengths of the second lens element  720 , the third lens element  730  and the fourth lens element  740  are f2, f3 and f4, respectively. The following relations are satisfied: |f2|+|f3|=20.8174 mm, |f1|+|f4|=11.6461 mm, and |f2|+|f3|&gt;+f1|+|f4|. 
     In the optical image capturing system of the seventh embodiment, a central thickness of the third lens element  730  on the optical axis is TP3. A central thickness of the fourth lens element  740  on the optical axis is TP4. The following relations are satisfied: TP3=0.576 mm and TP4=0.717 mm. 
     In the optical image capturing system of the seventh embodiment, a sum of focal lengths of all lens elements with positive refractive power is ΣPP. The following relation is satisfied: ΣPP=f1+f3. Hereby, it is favorable for allocating the positive refractive power of the first lens element  710  to other positive lens elements and the significant aberrations generated in the process of moving the incident light can be suppressed. 
     In the optical image capturing system of the seventh embodiment, a sum of focal lengths of all lens elements with negative refractive power is ΣNP. The following relation is satisfied: ΣNP=f2+f4. Hereby, it is favorable for allocating the negative refractive power of the fourth lens element  740  to other 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 = 3.007 mm; f/HEP = 1.6; HAF = 44.033 deg; tan(HAF) = 0.9668                                         Surface #   Curvature Radius   Thickness   Material   Index   Abbe #   Focal length                                                     0   Object   Plano   6000                       1   Ape. stop   Plano   0.023       2   Lens 1   2.444521544   0.842   Plastic   1.535   56.07   4.291       3       −49.14752168   0.267       4   Lens 2   10.44219264   0.290   Plastic   1.642   22.46   −17.373       5       5.356578573   0.207       6   Lens 3   −1.168181322   0.576   Plastic   1.544   56.09   3.445       7       −0.845969785   0.032       8   Lens 4   1.884854056   0.717   Plastic   1.544   56.09   −7.355       9       1.110329713   0.443       10   IR-bandstop filter   Plano   0.285   BK_7   1.517   64.13       11       Plano   0.880       12   Image plane   Plano               Reference wavelength = 555 nm; The clear aperture of the third surface is 1.073 mm; The clear aperture of the sixth surface is 1.358 mm.            
As for the parameters of the aspheric surfaces of the seventh embodiment, reference is made to Table 14.
 
     
       
         
           
               
             
               
                 TABLE 14 
               
               
                   
               
               
                 Aspheric Coefficients 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
               
            
               
                 Surface # 
                 2 
                 3 
                 4 
                 5 
                 6 
                 7 
               
               
                   
               
               
                 k = 
                 −3.417304E+01  
                 −5.223000E−11 
                 0.000000E+00 
                 −1.912480E−01 
                 −3.023323E−01  
                 −5.443870E+00 
               
               
                 A4 = 
                 2.484464E−01 
                 −2.214461E−01 
                 −5.281961E−01  
                 −3.265885E−01 
                 2.951060E−01 
                 −4.906016E−01 
               
               
                 A6 = 
                 −6.115069E−01  
                  1.166111E−01 
                 7.756501E−01 
                  1.081248E+00 
                 1.186134E+00 
                  1.253219E+00 
               
               
                 A8 = 
                 1.210871E+00 
                 −2.888716E−01 
                 −4.043822E+00  
                 −2.726124E+00 
                 −2.933912E+00  
                 −2.197669E+00 
               
               
                 A10 = 
                 −1.799465E+00  
                  3.411422E−01 
                 8.954819E+00 
                  3.326883E+00 
                 2.803803E+00 
                  2.315862E+00 
               
               
                 A12 = 
                 1.519424E+00 
                 −1.304905E−01 
                 −9.064900E+00  
                 −2.061608E+00 
                 −1.251520E+00  
                 −9.650584E−01 
               
               
                 A14 = 
                 −5.666642E−01  
                 −4.535676E−02 
                 4.362822E+00 
                  6.281296E−01 
                 2.408991E−01 
                 −5.448014E−01 
               
               
                 A16 = 
                 0.000000E+00 
                  2.771163E−02 
                 −8.084471E−01  
                 −7.408099E−02 
                 −1.051873E−02  
                  8.199744E−01 
               
               
                 A18 = 
                 0.000000E+00 
                  0.000000E+00 
                 0.000000E+00 
                  0.000000E+00 
                 0.000000E+00 
                 −3.466480E−01 
               
               
                 A20 = 
                 0.000000E+00 
                  0.000000E+00 
                 0.000000E+00 
                  0.000000E+00 
                 0.000000E+00 
                  5.094046E−02 
               
               
                   
               
            
           
           
               
               
               
               
            
               
                   
                 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 seventh embodiment is similar to that in the first embodiment. Besides the definitions of parameters in following tables are equal to those in the first embodiment so the repetitious details will not be given here. 
     The following contents may be deduced from Table 13 and Table 14. 
     
       
         
           
               
             
               
                   
               
               
                 Seventh embodiment (Primary reference wavelength: 555 nm) 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 InRS41 
                 InRS42 
                 HVT41 
                 HVT42 
                 |ODT|% 
                 |TDT|% 
               
               
                   
               
               
                 0.03537 
                 0.12964 
                 1.15531 
                 1.53699 
                 1.14482 
                 0.27387 
               
               
                   
               
               
                 |f/f1| 
                 |f/f2| 
                 |f/f3| 
                 |f/f4| 
                 |f1/f2| 
                 |f2/f3| 
               
               
                   
               
               
                 0.70081 
                 0.17309 
                 0.87288 
                 0.40882 
                 0.24699 
                 5.04292 
               
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                   
                   
                   
                   
                 (TP4 + 
                   
               
               
                   
                   
                 ΣPPR/ 
                 (TP1 + IN12)/ 
                 IN34)/ 
               
               
                 ΣPPR 
                 ΣNPR 
                 |ΣNPR| 
                 TP2 
                 TP3 
                 (TP2 + TP3)/ΣTP 
               
               
                   
               
               
                 1.57369 
                 0.58191 
                 2.70435 
                 3.81973 
                 1.30192 
                 0.35707 
               
               
                   
               
            
           
           
               
               
               
               
               
            
               
                 ΣPP 
                 ΣNP 
                 f1/ΣPP 
                 f4/ΣNP 
                 IN12/f 
               
               
                   
               
               
                 7.73568 
                 −24.72780 
                 0.55467 
                 0.29745 
                 0.08870 
               
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                   
                   
                 HOS/ 
                   
                   
                   
               
               
                 InTL 
                 HOS 
                 HOI 
                 InS/HOS 
                 InTL/HOS 
                 ΣTP/InTL 
               
               
                   
               
               
                 2.93106 
                 4.53826 
                 1.54731 
                 1.00510 
                 0.64586 
                 0.82750 
               
               
                   
               
            
           
           
               
               
               
               
               
            
               
                   
                   
                   
                 HVT42/ 
                 HVT42/ 
               
               
                   
                 |InRS41|/TP4 
                 |InRS42|/TP4 
                 HOI 
                 HOS 
               
               
                   
                   
               
               
                   
                 0.04931 
                 0.18074 
                 0.52403 
                 0.33867 
               
               
                   
                   
               
            
           
         
       
     
     The following contents may be deduced from Table 13 and Table 14. 
     
       
         
           
               
             
               
                   
               
               
                 Related inflection point values of seventh embodiment (Primary reference wavelength: 555 nm) 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                 HIF111 
                 0.69753 
                 HIF111/HOI 
                 0.23782 
                 SGI111 
                 0.09175 
                 | SGI111 |/(| SGI111 | + TP1) 
                 0.09824 
               
               
                 HIF211 
                 0.12612 
                 HIF211/HOI 
                 0.04300 
                 SGI211 
                 0.00063 
                 | SGI211 |/(| SGI211 | + TP2) 
                 0.00217 
               
               
                 HIF212 
                 1.00323 
                 HIF212/HOI 
                 0.34205 
                 SGI212 
                 −0.30667 
                 | SGI212 |/(| SGI212 | + TP2) 
                 0.51372 
               
               
                 HIF221 
                 0.30715 
                 HIF221/HOI 
                 0.10472 
                 SGI221 
                 0.00662 
                 | SGI221 |/(| SGI221 | + TP2) 
                 0.02230 
               
               
                 HIF222 
                 1.23514 
                 HIF222/HOI 
                 0.42112 
                 SGI222 
                 −0.13487 
                 | SGI222 |/(| SGI222 | + TP2) 
                 0.31722 
               
               
                 HIF311 
                 0.40483 
                 HIF311/HOI 
                 0.13803 
                 SGI311 
                 −0.06034 
                 | SGI311 |/(| SGI311 | + TP3) 
                 0.09486 
               
               
                 HIF312 
                 0.72364 
                 HIF312/HOI 
                 0.24672 
                 SGI312 
                 −0.12379 
                 | SGI312 |/(| SGI312 | + TP3) 
                 0.17695 
               
               
                 HIF313 
                 0.92773 
                 HIF313/HOI 
                 0.31631 
                 SGI313 
                 −0.15994 
                 | SGI313 |/(| SGI313 | + TP3) 
                 0.21739 
               
               
                 HIF321 
                 0.90552 
                 HIF321/HOI 
                 0.30873 
                 SGI321 
                 −0.36608 
                 | SGI321 |/(| SGI321 | + TP3) 
                 0.38868 
               
               
                 HIF411 
                 0.63387 
                 HIF411/HOI 
                 0.21612 
                 SGI411 
                 0.09868 
                 | SGI411 |/(| SGI411 | + TP4) 
                 0.12094 
               
               
                 HIF421 
                 0.70135 
                 HIF421/HOI 
                 0.23912 
                 SGI421 
                 0.16073 
                 | SGI421 |/(| SGI421 | + TP4) 
                 0.18307 
               
               
                   
               
            
           
         
       
     
     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 , in order from an object side to an image side, the optical image capturing system includes 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-bandstop 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 surface  812  and a convex image-side surface  814 , and both of the object-side surface  812  and the image-side surface  814  are aspheric, and the object-side surface  812  has an 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. The object-side surface  822  has four inflection points and the image-side surface  824  has three inflection points. 
     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 , both of the object-side surface  832  and the image-side surface  834  are aspheric. The object-side surface  832  has four inflection points and the image-side surface  834  has an inflection point. 
     The fourth lens element  840  has negative refractive power and it is made of plastic material. The fourth lens element  840  has a convex object-side surface  842  and a concave image-side surface  844 , and both of the object-side surface  842  and the image-side surface  844  are aspheric. The object-side surface  842  and the image-side surface  844  have an inflection point respectively. 
     The IR-bandstop 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 optical image capturing system of the eighth embodiment, focal lengths of the second lens element  820 , the third lens element  830  and the fourth lens element  840  are f2, f3 and f4, respectively. The following relations are satisfied: |f2|+|f3|=14.6893 mm. |f1|+|f4|=12.6582 mm, and |f2|+|f3|&gt;|f1|+|f4|. 
     In the optical image capturing system of the eighth embodiment, a central thickness of the third lens element  830  on the optical axis is TP3. A central thickness of the fourth lens element  840  on the optical axis is TP4. The following relations are satisfied: TP3=0.510 mm and TP4=0.740 mm. 
     In the optical image capturing system of the eighth embodiment, a sum of focal lengths of all lens elements with positive refractive power is ΣPP. The following relation is satisfied: ΣPP=f1+f3. Hereby, it is favorable for allocating the positive refractive power of the first lens element  810  to other positive lens elements and the significant aberrations generated in the process of moving the incident light can be suppressed. 
     In the optical image capturing system of the eighth embodiment, a sum of focal lengths of all lens elements with negative refractive power is ΣNP. The following relation is satisfied: ΣNP=f2+f4. Hereby, it is favorable for allocating the negative refractive power of the fourth lens element  840  to other 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 = 3.007 mm; f/HEP = 1.8; HAF = 44.037 deg; tan(HAF) = 0.9668                                         Surface#   Curvature Radius   Thickness   Material   Index   Abbe #   Focal length                                                     0   Object   Plano   6000                       1   Ape. stop   Plano   −0.062       2   Lens 1   2.183   0.825   Plastic   1.535   56.07   3.851       3       −49.056   0.268       4   Lens 2   49.119   0.263   Plastic   1.642   22.46   −10.912       5       6.165   0.209       6   Lens 3   −1.228   0.510   Plastic   1.544   56.09   3.777       7       −0.883   0.032       8   Lens 4   1.894   0.740   Plastic   1.544   56.09   −8.807       9       1.171   0.373       10   IR-bandstop filter   Plano   0.285   BK_7   1.517   64.13       11       Plano   0.880       12   Image plane   Plano               Reference wavelength = 555 nm; The clear aperture of the third surface is 1.06 mm; The clear aperture of the sixth surface is 1.19 mm.            
As for the parameters of the aspheric surfaces of the eighth embodiment, reference is made to Table 16.
 
     
       
         
           
               
             
               
                 TABLE 16 
               
               
                   
               
               
                 Aspheric Coefficients 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
               
            
               
                 Surface # 
                 2 
                 3 
                 4 
                 5 
                 6 
                 7 
               
               
                   
               
               
                 k = 
                 −3.425515E+01  
                 −5.223000E−11 
                 0.000000E+00 
                 −1.912480E−01 
                 −9.247001E−02  
                 −5.289811E+00 
               
               
                 A4 = 
                 3.355135E−01 
                 −2.856221E−01 
                 −7.465185E−01  
                 −5.879977E−01 
                 7.220604E−02 
                 −5.406672E−01 
               
               
                 A6 = 
                 −8.042905E−01  
                  5.456866E−01 
                 2.200173E+00 
                  2.390257E+00 
                 2.288367E+00 
                  1.392056E+00 
               
               
                 A8 = 
                 1.319240E+00 
                 −1.957622E+00 
                 −1.004510E+01  
                 −6.424026E+00 
                 −5.418476E+00  
                 −1.992190E+00 
               
               
                 A10 = 
                 −1.501971E+00  
                  3.432305E+00 
                 2.308900E+01 
                  9.117410E+00 
                 5.933945E+00 
                  1.507566E+00 
               
               
                 A12 = 
                 9.913128E−01 
                 −2.847871E+00 
                 −2.594278E+01  
                 −6.859882E+00 
                 −3.553649E+00  
                  3.309296E−01 
               
               
                 A14 = 
                 −3.414663E−01  
                  9.541755E−01 
                 1.417960E+01 
                  2.633443E+00 
                 1.194055E+00 
                 −1.959631E+00 
               
               
                 A16 = 
                 0.000000E+00 
                 −5.587464E−02 
                 −3.033063E+00  
                 −4.124320E−01 
                 −1.833276E−01  
                  1.777274E+00 
               
               
                 A18 = 
                 0.000000E+00 
                  0.000000E+00 
                 0.000000E+00 
                  0.000000E+00 
                 0.000000E+00 
                 −6.813031E−01 
               
               
                 A20 = 
                 0.000000E+00 
                  0.000000E+00 
                 0.000000E+00 
                  0.000000E+00 
                 0.000000E+00 
                  9.542935E−02 
               
               
                   
               
            
           
           
               
               
               
               
            
               
                   
                 Surface # 
                 8 
                 9 
               
               
                   
                   
               
               
                   
                 k = 
                  0.000000E+00 
                 −3.909467E+00 
               
               
                   
                 A4 = 
                 −5.071307E−02 
                 −1.318334E−01 
               
               
                   
                 A6 = 
                 −3.145091E−01 
                  1.331351E−01 
               
               
                   
                 A8 = 
                  5.825826E−01 
                 −1.208424E−01 
               
               
                   
                 A10 = 
                 −6.459614E−01 
                  7.502979E−02 
               
               
                   
                 A12 = 
                  4.523455E−01 
                 −3.142293E−02 
               
               
                   
                 A14 = 
                 −2.015447E−01 
                  8.663863E−03 
               
               
                   
                 A16 = 
                  5.524871E−02 
                 −1.498089E−03 
               
               
                   
                 A18 = 
                 −8.448277E−03 
                  1.464901E−04 
               
               
                   
                 A20 = 
                  5.481093E−04 
                 −6.161558E−06 
               
               
                   
                   
               
            
           
         
       
     
     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 will not be given here. 
     The following contents may be deduced from Table 15 and Table 16. 
     
       
         
           
               
             
               
                   
               
               
                 Eighth embodiment (Primary reference wavelength: 555 nm) 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 InRS41 
                 InRS42 
                 HVT41 
                 HVT42 
                 |ODT|% 
                 |TDT|% 
               
               
                   
               
               
                 0.03829 
                 0.08828 
                 1.09218 
                 1.45798 
                 0.86928 
                 0.34924 
               
               
                   
               
               
                 |f/f1| 
                 |f/f2| 
                 |f/f3| 
                 |f/f4| 
                 |f1/f2| 
                 |f2/f3| 
               
               
                   
               
               
                 0.78086 
                 0.27557 
                 0.79607 
                 0.34142 
                 0.35290 
                 2.88883 
               
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                   
                   
                   
                   
                 (TP4 + 
                   
               
               
                   
                   
                 ΣPPR/ 
                 (TP1 + IN12)/ 
                 IN34)/ 
               
               
                 ΣPPR 
                 ΣNPR 
                 |ΣNPR| 
                 TP2 
                 TP3 
                 (TP2 + TP3)/ΣTP 
               
               
                   
               
               
                 1.57693 
                 0.61699 
                 2.55585 
               
               
                   
               
            
           
           
               
               
               
               
               
            
               
                 ΣPP 
                 ΣNP 
                 f1/ΣPP 
                 f4/ΣNP 
                 IN12/f 
               
               
                   
               
               
                 7.62818 
                 −19.71931 
                 0.50482 
                 0.44663 
                 0.08922 
               
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                   
                   
                 HOS/ 
                   
                   
                   
               
               
                 InTL 
                 HOS 
                 HOI 
                 InS/HOS 
                 InTL/HOS 
                 ΣTP/InTL 
               
               
                   
               
               
                 2.84867 
                 4.38579 
                 1.49533 
                 0.98585 
                 0.64952 
                 0.82093 
               
               
                   
               
            
           
           
               
               
               
               
               
            
               
                   
                   
                   
                 HVT42/ 
                 HVT42/ 
               
               
                   
                 |InRS41|/TP4 
                 |InRS42|/TP4 
                 HOI 
                 HOS 
               
               
                   
                   
               
               
                   
                 0.05172 
                 0.11922 
                 0.49710 
                 0.33243 
               
               
                   
                   
               
            
           
         
       
     
     The following contents may be deduced from Table 15 and Table 16. 
     
       
         
           
               
             
               
                   
               
               
                 Related inflection point values of eighth embodiment (Primary reference wavelength: 555 nm) 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                 HIF111 
                 0.69083 
                 HIF111/HOI 
                 0.23554 
                 SGI111 
                 0.10099 
                 | SGI111 |/(| SGI111 | + TP1) 
                 0.10910 
               
               
                 HIF211 
                 0.04809 
                 HIF211/HOI 
                 0.01640 
                 SGI211 
                 0.00002 
                 | SGI211 |/(| SGI211 | + TP2) 
                 0.00008 
               
               
                 HIF212 
                 0.78035 
                 HIF212/HOI 
                 0.26606 
                 SGI212 
                 −0.16162 
                 | SGI212 |/(| SGI212 | + TP2) 
                 0.38058 
               
               
                 HIF213 
                 0.88805 
                 HIF213/HOI 
                 0.30278 
                 SGI213 
                 −0.22408 
                 | SGI213 |/(| SGI213 | + TP2) 
                 0.46001 
               
               
                 HIF214 
                 0.95617 
                 HIF214/HOI 
                 0.32600 
                 SGI214 
                 −0.26333 
                 | SGI214 |/(| SGI214 | + TP2) 
                 0.50027 
               
               
                 HIF221 
                 0.17811 
                 HIF221/HOI 
                 0.06072 
                 SGI221 
                 0.00205 
                 | SGI221 |/(| SGI221 | + TP2) 
                 0.00774 
               
               
                 HIF222 
                 0.83233 
                 HIF222/HOI 
                 0.28378 
                 SGI222 
                 −0.03443 
                 | SGI222 |/(| SGI222 | + TP2) 
                 0.11575 
               
               
                 HIF223 
                 1.03050 
                 HIF223/HOI 
                 0.35135 
                 SGI223 
                 −0.06502 
                 | SGI223 |/(| SGI223 | + TP2) 
                 0.19818 
               
               
                 HIF311 
                 0.39798 
                 HIF311/HOI 
                 0.13569 
                 SGI311 
                 −0.05808 
                 | SGI311 |/(| SGI311 | + TP3) 
                 0.10217 
               
               
                 HIF312 
                 0.71620 
                 HIF312/HOI 
                 0.24419 
                 SGI312 
                 −0.11909 
                 | SGI312 |/(| SGI312 | + TP3) 
                 0.18920 
               
               
                 HIF313 
                 0.91065 
                 HIF313/HOI 
                 0.31048 
                 SGI313 
                 −0.15081 
                 | SGI313 |/(| SGI313 | + TP3) 
                 0.22809 
               
               
                 HIF314 
                 1.12812 
                 HIF314/HOI 
                 0.38463 
                 SGI314 
                 −0.17189 
                 | SGI314 |/(| SGI314 | + TP3) 
                 0.25195 
               
               
                 HIF321 
                 0.72961 
                 HIF321/HOI 
                 0.24876 
                 SGI321 
                 −0.24787 
                 | SGI321 |/(| SGI321 | + TP3) 
                 0.32691 
               
               
                 HIF411 
                 0.60787 
                 HIF411/HOI 
                 0.20725 
                 SGI411 
                 0.08478 
                 | SGI411 |/(| SGI411 | + TP4) 
                 0.10273 
               
               
                 HIF421 
                 0.67523 
                 HIF421/HOI 
                 0.23022 
                 SGI421 
                 0.14324 
                 | SGI421 |/(| SGI421 | + TP4) 
                 0.16209 
               
               
                   
               
            
           
         
       
     
     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 , in order from an object side to an image side, the optical image capturing system includes 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-bandstop 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, and the object-side surface  912  has an 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 four 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 , both of the object-side surface  932  and the image-side surface  934  are aspheric. The object-side surface  932  has two inflection points and the image-side surface  934  has an 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. The object-side surface  942  has two inflection points and the image-side surface  944  have an inflection point. 
     The IR-bandstop 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 optical image capturing system of the ninth embodiment, focal lengths of the second lens element  920 , the third lens element  930  and the fourth lens element  940  are f2, f3 and f4, respectively. The following relations are satisfied: |f2|+|f3|=20.4546 mm, |f1|+|f4|=11.6276 mm, and |f2|+|f3|&gt;|f1|+|f4|. 
     In the optical image capturing system of the ninth embodiment, a central thickness of the third lens element  930  on the optical axis is TP3. A central thickness of the fourth lens element  940  on the optical axis is TP4. The following relations are satisfied: TP3=0.547 mm and TP4=0.739 mm. 
     In the optical image capturing system of the ninth embodiment, a sum of focal lengths of all lens elements with positive refractive power is ΣPP. The following relation is satisfied: ΣPP=f1+f3. Hereby, it is favorable for allocating the positive refractive power of the first lens element  910  to other positive lens elements and the significant aberrations generated in the process of moving the incident light can be suppressed. 
     In the optical image capturing system of the ninth embodiment, a sum of focal lengths of all lens elements with negative refractive power is ΣNP. The following relation is satisfied: ΣNP=f2+f4. Hereby, it is favorable for allocating the negative refractive power of the fourth lens element  940  to other 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 = 3.007 mm; f/HEP = 2.0; HAF = 44.064 deg; tan(HAF) = 0.9678                                         Surface#   Curvature Radius   Thickness   Material   Index   Abbe #   Focal length                                                     0   Object   Plano   6000                       1   Ape. stop   Plano   −0.06205       2   Lens 1   2.14398   0.78455   Plastic   1.535   56.07   3.784       3       −49.14951   0.29029       4   Lens 2   14.83630   0.23341   Plastic   1.642   22.46   −16.399       5       6.15145   0.20542       6   Lens 3   −1.22825   0.54742   Plastic   1.544   56.09   4.055       7       −0.91427   0.03234       8   Lens 4   1.95704   0.73887   Plastic   1.544   56.09   −7.844       9       1.16407   0.33378       10   IR-bandstop filter   Plano   0.28455   BK_7   1.517   64.13       11       Plano   0.87985       12   Image plane   Plano               Reference wavelength = 555 nm            
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 = 
                 8.302854E−01 
                 4.881834E+01 
                 0.000000E+00 
                 −1.912480E−01  
                 0.000000E+00 
                 −3.823090E+00 
               
               
                 A4 = 
                 −8.158142E−02  
                 −2.683712E−01  
                 −4.950567E−01  
                 −1.395754E−01  
                 5.069764E−01 
                 −2.309396E−01 
               
               
                 A6 = 
                 2.716873E−01 
                 5.556492E−01 
                 5.061736E−01 
                 2.540000E−02 
                 −9.489973E−02  
                  1.094476E−01 
               
               
                 A9 = 
                 −1.097094E+00  
                 −2.101613E+00  
                 −3.836031E+00  
                 −6.029970E−01  
                 −2.594789E−01  
                 −1.285802E−02 
               
               
                 A10 = 
                 1.776531E+00 
                 3.823825E+00 
                 9.652281E+00 
                 1.338373E+00 
                 2.412687E−01 
                  6.407487E−01 
               
               
                 A12 = 
                 −1.147798E+00  
                 −3.190105E+00  
                 −9.039057E+00  
                 −9.416118E−01  
                 −3.737997E−02  
                 −1.688051E+00 
               
               
                 A14 = 
                 0.000000E+00 
                 9.467408E−01 
                 2.912671E+00 
                 2.121774E−01 
                 −1.673082E−03  
                  2.287438E+00 
               
               
                 A16 = 
                 0.000000E+00 
                 0.000000E+00 
                 0.000000E+00 
                 0.000000E+00 
                 0.000000E+00 
                 −1.853257E+00 
               
               
                 A18 = 
                 0.000000E+00 
                 0.000000E+00 
                 0.000000E+00 
                 0.000000E+00 
                 0.000000E+00 
                  8.280329E−01 
               
               
                 A20 = 
                 0.000000E+00 
                 0.000000E+00 
                 0.000000E+00 
                 0.000000E+00 
                 0.000000E+00 
                 −1.530356E−01 
               
               
                   
               
            
           
           
               
               
               
               
            
               
                   
                 Surface# 
                 8 
                 9 
               
               
                   
                   
               
               
                   
                 k = 
                  0.000000E+00 
                 −3.580216E+00 
               
               
                   
                 A4 = 
                 −1.062754E−01 
                 −1.513175E−01 
               
               
                   
                 A6 = 
                 −4.648368E−01 
                  7.992076E−02 
               
               
                   
                 A9 = 
                  1.029282E+00 
                 −1.948220E−02 
               
               
                   
                 A10 = 
                 −1.169578E+00 
                 −6.092259E−03 
               
               
                   
                 A12 = 
                  8.027628E−01 
                  5.761185E−03 
               
               
                   
                 A14 = 
                 −3.422785E−01 
                 −1.703423E−03 
               
               
                   
                 A16 = 
                  8.789332E−02 
                  2.346113E−04 
               
               
                   
                 A18 = 
                 −1.231752E−02 
                 −1.274629E−05 
               
               
                   
                 A20 = 
                  7.150194E−04 
                  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 will not be given here. 
     The following contents may be deduced from Table 17 and Table 18. 
     
       
         
           
               
             
               
                   
               
               
                 Ninth embodiment (Primary reference wavelength: 555 nm) 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 InRS41 
                 InRS42 
                 HVT41 
                 HVT42 
                 |ODT|% 
                 |TDT|% 
               
               
                   
               
               
                 −0.10918 
                 −0.14210 
                 0.94323 
                 1.38658 
                 1.00316 
                 0.40180 
               
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 |f/f1| 
                 |f/f2| 
                 |f/f3| 
                 |f/f4| 
                 |f1/f2| 
                 |f2/f3| 
               
               
                   
               
               
                 0.79468 
                 0.18336 
                 0.74150 
                 0.38337 
                 0.23074 
                 4.04390 
               
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                   
                   
                   
                   
                 (TP4 + 
                   
               
               
                   
                   
                 ΣPPR/ 
                 (TP1 + IN12)/ 
                 IN34)/ 
               
               
                 ΣPPR 
                 ΣNPR 
                 |ΣNPR| 
                 TP2 
                 TP3 
                 (TP2 + TP3)/ΣTP 
               
               
                   
               
               
                 1.53618 
                 0.56673 
                 2.71061 
                 4.60500 
                 1.40881 
                 0.33886 
               
               
                   
               
            
           
           
               
               
               
               
               
            
               
                 ΣPP 
                 ΣNP 
                 f1/ΣPP 
                 f4/ΣNP 
                 IN12/f 
               
               
                   
               
               
                 7.83922 
                 −24.24298 
                 0.48269 
                 0.32354 
                 0.09654 
               
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                   
                   
                 HOS/ 
                   
                   
                   
               
               
                 InTL 
                 HOS 
                 HOI 
                 InS/HOS 
                 InTL/HOS 
                 ΣTP/InTL 
               
               
                   
               
               
                 2.83228 
                 4.33012 
                 1.47635 
                 0.98567 
                 0.65409 
                 0.81357 
               
               
                   
               
            
           
           
               
               
               
               
               
            
               
                   
                   
                   
                 HVT42/ 
                 HVT42/ 
               
               
                   
                 |InRS41|/TP4 
                 |InRS42|/TP4 
                 HOI 
                 HOS 
               
               
                   
                   
               
               
                   
                 0.14776 
                 0.19232 
                 0.47275 
                 0.32022 
               
               
                   
                   
               
            
           
         
       
     
     The following contents may be deduced from Table 17 and Table 18. 
     
       
         
           
               
             
               
                   
               
               
                 Related inflection point values of ninth embodiment (Primary reference wavelength: 555 nm) 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                 HIF111 
                 0.67065 
                 HIF111/HOI 
                 0.22865 
                 SGI111 
                 0.09658 
                 | SGI111 |/(| SGI111 | + TP1) 
                 0.10961 
               
               
                 HIF211 
                 0.10785 
                 HIF211/HOI 
                 0.03677 
                 SGI211 
                 0.00033 
                 | SGI211 |/(| SGI211 | + TP2) 
                 0.00139 
               
               
                 HIF212 
                 0.76251 
                 HIF212/HOI 
                 0.25998 
                 SGI212 
                 −0.12907 
                 | SGI212 |/(| SGI212 | + TP2) 
                 0.35608 
               
               
                 HIF213 
                 0.84310 
                 HIF213/HOI 
                 0.28745 
                 SGI213 
                 −0.17100 
                 | SGI213 |/(| SGI213 | + TP2) 
                 0.42284 
               
               
                 HIF214 
                 0.99888 
                 HIF214/HOI 
                 0.34056 
                 SGI214 
                 −0.26446 
                 | SGI214 |/(| SGI214 | + TP2) 
                 0.53118 
               
               
                 HIF221 
                 0.30081 
                 HIF221/HOI 
                 0.10256 
                 SGI221 
                 0.00620 
                 | SGI221 |/(| SGI221 | + TP2) 
                 0.02588 
               
               
                 HIF222 
                 0.79049 
                 HIF222/HOI 
                 0.26952 
                 SGI222 
                 −0.00993 
                 | SGI222 |/(| SGI222 | + TP2) 
                 0.04082 
               
               
                 HIF223 
                 1.01258 
                 HIF223/HOI 
                 0.34524 
                 SGI223 
                 −0.02663 
                 | SGI223 |/(| SGI223 | + TP2) 
                 0.10242 
               
               
                 HIF311 
                 0.44229 
                 HIF311/HOI 
                 0.15080 
                 SGI311 
                 −0.06402 
                 | SGI311 |/(| SGI311 | + TP3) 
                 0.10470 
               
               
                 HIF312 
                 1.11937 
                 HIF312/HOI 
                 0.38165 
                 SGI312 
                 −0.16061 
                 | SGI312 |/(| SGI312 | + TP3) 
                 0.22684 
               
               
                 HIF321 
                 0.78590 
                 HIF321/HOI 
                 0.26795 
                 SGI321 
                 −0.29658 
                 | SGI321 |/(| SGI321 | + TP3) 
                 0.35140 
               
               
                 HIF411 
                 0.47771 
                 HIF411/HOI 
                 0.16287 
                 SGI411 
                 0.05031 
                 | SGI411 |/(| SGI411 | + TP4) 
                 0.06375 
               
               
                 HIF412 
                 1.55102 
                 HIF412/HOI 
                 0.52882 
                 SGI412 
                 −0.09098 
                 | SGI412 |/(| SGI412 | + TP4) 
                 0.10963 
               
               
                 HIF421 
                 0.59560 
                 HIF421/HOI 
                 0.20307 
                 SGI421 
                 0.11701 
                 | SGI421 |/(| SGI421 | + TP4) 
                 0.13672 
               
               
                   
               
            
           
         
       
     
     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 , in order from an object side to an image side, the optical image capturing system includes 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-bandstop 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 , and both of the object-side surface  1012  and the image-side surface  1014  are aspheric, and the object-side surface  1012  has an 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 four inflection points and the image-side surface  1024  has three inflection points. 
     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 , 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 an 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  and the image-side surface  1044  have an inflection point respectively. 
     The IR-bandstop 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 optical image capturing system of the tenth embodiment, focal lengths of the second lens element  1020 , the third lens element  1030  and the fourth lens element  1040  are f2, f3 and f4, respectively. The following relations are satisfied: |f2|+|f3|=26.5693 mm, |f1|+|f4|=14.5968 mm, and |f2|+|f3|&gt;|f1|+|f4|. 
     In the optical image capturing system of the tenth embodiment, a central thickness of the third lens element  1030  on the optical axis is TP3. A central thickness of the fourth lens element  1040  on the optical axis is TP4. The following relations are satisfied: TP3=0.559936 mm and TP4=0.741793 mm. 
     In the optical image capturing system of the tenth embodiment, a sum of focal lengths of all lens elements with positive refractive power is ΣPP. The following relation is satisfied: ΣPP=f1+f3. Hereby, it is favorable for allocating the positive refractive power of the first lens element  1010  to other positive lens elements and the significant aberrations generated in the process of moving the incident light can be suppressed. 
     In the optical image capturing system of the tenth embodiment, a sum of focal lengths of all lens elements with negative refractive power is ΣNP. The following relation is satisfied: ΣNP=f2+f4. Hereby, it is favorable for allocating the negative refractive power of the fourth lens element  1040  to other 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 = 3.007 mm; f/HEP = 2.2; HAF = 44.0631 deg; tan(HAF) = 0.9678                                         Surface#   Curvature Radius   Thickness   Material   Index   Abbe #   Focal length                                                     0   Object   Plano   6000                       1   Ape. stop   Plano   −0.02767       2   Lens 1   2.16109   0.57309   Plastic   1.535   56.07   3.699       3       −27.91876   0.36575       4   Lens 2   31.13214   0.23281   Plastic   1.642   22.46   −21.388       5       9.55810   0.19344       6   Lens 3   −1.20255   0.55994   Plastic   1.544   56.09   5.181       7       −0.98253   0.05945       8   Lens 4   1.78870   0.74179   Plastic   1.544   56.09   −10.897       9       1.17380   0.34992       10   IR-bandstop filter   Plano   0.28455   BK_7   1.517   64.13       11       Plano   0.87986       12   Image plane   Plano               Reference wavelength = 555 nm            
As for the parameters of the aspheric surfaces of the tenth embodiment, reference is made to Table 20.
 
     
       
         
           
               
             
               
                 TABLE 20 
               
               
                   
               
               
                 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 = 
                 1.960279E−01 
                 −2.344273E−01  
                 −4.613496E−01  
                 −1.825046E−01  
                 4.567466E−01 
                 −2.662259E−01 
               
               
                 A6 = 
                 −2.743592E−01  
                 4.005568E−01 
                 8.451556E−01 
                 8.825017E−01 
                 9.723709E−01 
                  6.752032E−01 
               
               
                 A10 = 
                 −5.210873E−01  
                 −1.883370E+00  
                 −5.441809E+00  
                 −3.268956E+00  
                 −3.208535E+00  
                 −2.069819E+00 
               
               
                 A10 = 
                 1.796041E+00 
                 3.675166E+00 
                 1.303885E+01 
                 4.987821E+00 
                 3.785802E+00 
                  5.123519E+00 
               
               
                 A12 = 
                 −1.721008E+00  
                 −3.186005E+00  
                 −1.232717E+01  
                 −3.233436E+00  
                 −2.028108E+00  
                 −8.077860E+00 
               
               
                 A14 = 
                 0.000000E+00 
                 8.655103E−01 
                 4.112236E+00 
                 7.533081E−01 
                 4.310496E−01 
                  8.060740E+00 
               
               
                 A16 = 
                 0.000000E+00 
                 0.000000E+00 
                 0.000000E+00 
                 0.000000E+00 
                 0.000000E+00 
                 −5.005181E+00 
               
               
                 A18 = 
                 0.000000E+00 
                 0.000000E+00 
                 0.000000E+00 
                 0.000000E+00 
                 0.000000E+00 
                  1.775855E+00 
               
               
                 A20 = 
                 0.000000E+00 
                 0.000000E+00 
                 0.000000E+00 
                 0.000000E+00 
                 0.000000E+00 
                 −2.739023E−01 
               
               
                   
               
            
           
           
               
               
               
               
            
               
                   
                 Surface # 
                 8 
                 9 
               
               
                   
                   
               
               
                   
                 k = 
                  0.000000E+00 
                 −2.434696E+00 
               
               
                   
                 A4 = 
                 −7.783916E−02 
                 −1.716713E−01 
               
               
                   
                 A6 = 
                 −4.461200E−01 
                  7.439610E−02 
               
               
                   
                 A10 = 
                  7.588721E−01 
                 −1.043172E−02 
               
               
                   
                 A10 = 
                 −6.829596E−01 
                 −1.033522E−02 
               
               
                   
                 A12 = 
                  3.384589E−01 
                  6.831312E−03 
               
               
                   
                 A14 = 
                 −7.343056E−02 
                 −1.858405E−03 
               
               
                   
                 A16 = 
                 −6.914821E−03 
                  2.468110E−04 
               
               
                   
                 A18 = 
                  6.405073E−03 
                 −1.316587E−05 
               
               
                   
                 A20 = 
                 −8.680840E−04 
                  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 will not be given here. 
     The following contents may be deduced from Table 19 and Table 20. 
     
       
         
           
               
             
               
                   
               
               
                 Tenth embodiment (Primary reference wavelength: 555 nm) 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 InRS41 
                 InRS42 
                 HVT41 
                 HVT42 
                 |ODT|% 
                 |TDT|% 
               
               
                   
               
               
                 −0.10036 
                 −0.10065 
                 0.94646 
                 1.37762 
                 1.00930 
                 0.39431 
               
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 |f/f1| 
                 |f/f2| 
                 |f/f3| 
                 |f/f4| 
                 |f1/f2| 
                 |f2/f3| 
               
               
                   
               
               
                 0.81283 
                 0.14059 
                 0.58034 
                 0.27594 
                 0.17297 
                 4.12781 
               
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                   
                   
                   
                   
                 (TP4 + 
                   
               
               
                   
                   
                 ΣPPR/ 
                 (TP1 + IN12)/ 
                 IN34)/ 
               
               
                 ΣPPR 
                 ΣNPR 
                 |ΣNPR| 
                 TP2 
                 TP3 
                 (TP2 + TP3)/ΣTP 
               
               
                   
               
               
                 1.39317 
                 0.41653 
                 3.34470 
                 4.03256 
                 1.43095 
                 0.37613 
               
               
                   
               
            
           
           
               
               
               
               
               
            
               
                 ΣPP 
                 ΣNP 
                 f1/ΣPP 
                 f4/ΣNP 
                 IN12/f 
               
               
                   
               
               
                 8.88085 
                 −32.28530 
                 0.41656 
                 0.33753 
                 0.12163 
               
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                   
                   
                 HOS/ 
                   
                   
                   
               
               
                 InTL 
                 HOS 
                 HOI 
                 InS/HOS 
                 InTL/HOS 
                 ΣTP/InTL 
               
               
                   
               
               
                 2.72627 
                 4.24060 
                 1.44582 
                 0.99347 
                 0.64290 
                 0.77308 
               
               
                   
               
            
           
           
               
               
               
               
               
            
               
                   
                   
                   
                 HVT42/ 
                 HVT42/ 
               
               
                   
                 |InRS41|/TP4 
                 |InRS42|/TP4 
                 HOI 
                 HOS 
               
               
                   
                   
               
               
                   
                 0.46970 
                 0.32486 
                 0.13530 
                 0.13568 
               
               
                   
                   
               
            
           
         
       
     
     The following contents may be deduced from Table 19 and Table 20. 
     
       
         
           
               
             
               
                   
               
               
                 Related inflection point values of tenth embodiment (Primary reference wavelength: 555 nm) 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                 HIF111 
                 0.56505 
                 HIF111/HOI 
                 0.19265 
                 SGI111 
                 0.06646 
                 | SGI111 |/(| SGI111 | + TP1) 
                 0.10392 
               
               
                 HIF211 
                 0.07719 
                 HIF211/HOI 
                 0.02632 
                 SGI211 
                 0.00008 
                 | SGI211 |/(| SGI211 | + TP2) 
                 0.00034 
               
               
                 HIF212 
                 0.72909 
                 HIF212/HOI 
                 0.24858 
                 SGI212 
                 −0.10477 
                 | SGI212 |/(| SGI212 | + TP2) 
                 0.31035 
               
               
                 HIF213 
                 0.86287 
                 HIF213/HOI 
                 0.29420 
                 SGI213 
                 −0.16233 
                 | SGI213 |/(| SGI213 | + TP2) 
                 0.41082 
               
               
                 HIF214 
                 0.94423 
                 HIF214/HOI 
                 0.32193 
                 SGI214 
                 −0.19651 
                 | SGI214 |/(| SGI214 | + TP2) 
                 0.45772 
               
               
                 HIF221 
                 0.33113 
                 HIF221/HOI 
                 0.11290 
                 SGI221 
                 0.00431 
                 | SGI221 |/(| SGI221 | + TP2) 
                 0.01817 
               
               
                 HIF222 
                 0.75863 
                 HIF222/HOI 
                 0.25865 
                 SGI222 
                 −0.00752 
                 | SGI222 |/(| SGI222 | + TP2) 
                 0.03131 
               
               
                 HIF223 
                 1.01666 
                 HIF223/HOI 
                 0.34663 
                 SGI223 
                 −0.00643 
                 | SGI223 |/(| SGI223 | + TP2) 
                 0.02687 
               
               
                 HIF311 
                 0.37546 
                 HIF311/HOI 
                 0.12801 
                 SGI311 
                 −0.04938 
                 | SGI311 |/(| SGI311 | + TP3) 
                 0.08104 
               
               
                 HIF312 
                 1.11459 
                 HIF312/HOI 
                 0.38002 
                 SGI312 
                 −0.10612 
                 | SGI312 |/(| SGI312 | + TP3) 
                 0.15933 
               
               
                 HIF321 
                 0.80896 
                 HIF321/HOI 
                 0.27581 
                 SGI321 
                 −0.27788 
                 | SGI321 |/(| SGI321 | + TP3) 
                 0.33168 
               
               
                 HIF411 
                 0.51079 
                 HIF411/HOI 
                 0.17415 
                 SGI411 
                 0.06405 
                 | SGI411 |/(| SGI411 | + TP4) 
                 0.07948 
               
               
                 HIF412 
                 1.49873 
                 HIF412/HOI 
                 0.51099 
                 SGI412 
                 −0.07945 
                 | SGI412 |/(| SGI412 | + TP4) 
                 0.09674 
               
               
                 HIF421 
                 0.62322 
                 HIF421/HOI 
                 0.21248 
                 SGI421 
                 0.12959 
                 | SGI421 |/(| SGI421 | + TP4) 
                 0.14871 
               
               
                   
               
            
           
         
       
     
     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.