Patent Publication Number: US-9851536-B2

Title: Optical image capturing system

Description:
The current application claims a foreign priority to application number 104141305 filed on Dec. 9, 2015 in Taiwan. 
     BACKGROUND OF THE INVENTION 
     1. Technical Field 
     The present invention relates generally to an optical system, and more particularly to a compact optical image capturing system for an electronic device. 
     2. Description of 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 the 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 the pixel size of the image sensing device, the development of the optical image capturing system towards the field of high pixels. Therefore, the requirement for high imaging quality is rapidly raised. 
     The conventional optical system of the portable electronic device usually has five or six lenses. However, the optical system is asked to take pictures in a dark environment, in other words, the optical system is asked to have a large aperture. The conventional optical system provides high optical performance as required. 
     It is an important issue to increase the quantity of light entering the lens. In addition, the modern lens is also asked to have several characters, including high image quality. 
     BRIEF 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 seven-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 to improve imaging quality for image formation, so as to be applied to minimized electronic products. 
     The term and its definition to the lens parameter in the embodiment of the present are shown as below for further reference. 
     The lens parameter related to a length or a height in the lens: 
     A maximum height for image formation of the optical image capturing system is denoted by HOI. A height of the optical image capturing system is denoted by HOS. A distance from the object-side surface of the first lens to the image-side surface of the seventh lens is denoted by InTL. A distance from the first lens to the second lens is denoted by IN12 (instance). A central thickness of the first lens of the optical image capturing system on the optical axis is denoted by TP1 (instance). 
     The lens parameter related to a material in the lens: 
     An Abbe number of the first lens in the optical image capturing system is denoted by NA1 (instance). A refractive index of the first lens is denoted by Nd1 (instance). 
     The lens parameter related to a view angle in the lens: 
     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 parameter related to exit/entrance pupil in the lens: 
     An entrance pupil diameter of the optical image capturing system is denoted by HEP. For any surface of any lens, a maximum effective half diameter (EHD) is a perpendicular distance between an optical axis and a crossing point on the surface where the incident light with a maximum viewing angle of the system passing the very edge of the entrance pupil. For example, the maximum effective half diameter of the object-side surface of the first lens is denoted by EHD11, the maximum effective half diameter of the image-side surface of the first lens is denoted by EHD12, the maximum effective half diameter of the object-side surface of the second lens is denoted by EHD21, the maximum effective half diameter of the image-side surface of the second lens is denoted by EHD22, and so on. 
     The lens parameter related to an arc length of the shape of a surface and a surface profile: 
     For any surface of any lens, a profile curve length of the maximum effective half diameter is, by definition, measured from a start point where the optical axis of the belonging optical image capturing system passes through the surface of the lens, along a surface profile of the lens, and finally to an end point of the maximum effective half diameter thereof. In other words, the curve length between the aforementioned start and end points is the profile curve length of the maximum effective half diameter, which is denoted by ARS. For example, the profile curve length of the maximum effective half diameter of the object-side surface of the first lens is denoted by ARS11, the profile curve length of the maximum effective half diameter of the image-side surface of the first lens is denoted by ARS12, the profile curve length of the maximum effective half diameter of the object-side surface of the second lens is denoted by ARS21, the profile curve length of the maximum effective half diameter of the image-side surface of the second lens is denoted by ARS22, and so on. 
     For any surface of any lens, a profile curve length of a half of the entrance pupil diameter (HEP) is, by definition, measured from a start point where the optical axis of the belonging optical image capturing system passes through the surface of the lens, along a surface profile of the lens, and finally to a coordinate point of a perpendicular distance where is a half of the entrance pupil diameter away from the optical axis. In other words, the curve length between the aforementioned stat point and the coordinate point is the profile curve length of a half of the entrance pupil diameter (HEP), and is denoted by ARE. For example, the profile curve length of a half of the entrance pupil diameter (HEP) of the object-side surface of the first lens is denoted by ARE11, the profile curve length of a half of the entrance pupil diameter (HEP) of the image-side surface of the first lens is denoted by ARE12, the profile curve length of a half of the entrance pupil diameter (HEP) of the object-side surface of the second lens is denoted by ARE21, the profile curve length of a half of the entrance pupil diameter (HEP) of the image-side surface of the second lens is denoted by ARE22, and so on. 
     The lens parameter related to a depth of the lens shape: 
     A distance in parallel with the optical axis from a point where the optical axis passes through to an end point of the maximum effective semi diameter on the object-side surface of the seventh lens is denoted by InRS71 (the depth of the maximum effective semi diameter). A distance in parallel with the optical axis from a point where the optical axis passes through to an end point of the maximum effective semi diameter on the image-side surface of the seventh lens is denoted by InRS72 (the depth of the maximum effective semi diameter). The depth of the maximum effective semi diameter (sinkage) on the object-side surface or the image-side surface of any other lens is denoted in the same manner. 
     The lens parameter related to the lens shape: 
     A critical point C is a tangent point on a surface of a specific lens, 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. Following the above description, a distance perpendicular to the optical axis between a critical point C51 on the object-side surface of the fifth lens and the optical axis is HVT51 (instance), and a distance perpendicular to the optical axis between a critical point C52 on the image-side surface of the fifth lens and the optical axis is HVT52 (instance). A distance perpendicular to the optical axis between a critical point C61 on the object-side surface of the sixth lens and the optical axis is HVT61 (instance), and a distance perpendicular to the optical axis between a critical point C62 on the image-side surface of the sixth lens and the optical axis is HVT62 (instance). A distance perpendicular to the optical axis between a critical point on the object-side or image-side surface of other lenses, such as the seventh lens, and the optical axis is denoted in the same manner. 
     The object-side surface of the seventh lens has one inflection point IF711 which is nearest to the optical axis, and the sinkage value of the inflection point IF711 is denoted by SGI711 (instance). A distance perpendicular to the optical axis between the inflection point IF711 and the optical axis is HIF711 (instance). The image-side surface of the seventh lens has one inflection point IF721 which is nearest to the optical axis, and the sinkage value of the inflection point IF721 is denoted by SGI721 (instance). A distance perpendicular to the optical axis between the inflection point IF721 and the optical axis is HIF721 (instance). 
     The object-side surface of the seventh lens has one inflection point IF712 which is the second nearest to the optical axis, and the sinkage value of the inflection point IF712 is denoted by SGI712 (instance). A distance perpendicular to the optical axis between the inflection point IF712 and the optical axis is HIF712 (instance). The image-side surface of the seventh lens has one inflection point IF722 which is the second nearest to the optical axis, and the sinkage value of the inflection point IF722 is denoted by SGI722 (instance). A distance perpendicular to the optical axis between the inflection point IF722 and the optical axis is HIF722 (instance). 
     The object-side surface of the seventh lens has one inflection point IF713 which is the third nearest to the optical axis, and the sinkage value of the inflection point IF713 is denoted by SGI713 (instance). A distance perpendicular to the optical axis between the inflection point IF713 and the optical axis is HIF713 (instance). The image-side surface of the seventh lens has one inflection point IF723 which is the third nearest to the optical axis, and the sinkage value of the inflection point IF723 is denoted by SGI723 (instance). A distance perpendicular to the optical axis between the inflection point IF723 and the optical axis is HIF723 (instance). 
     The object-side surface of the seventh lens has one inflection point IF714 which is the fourth nearest to the optical axis, and the sinkage value of the inflection point IF714 is denoted by SGI714 (instance). A distance perpendicular to the optical axis between the inflection point IF714 and the optical axis is HIF714 (instance). The image-side surface of the seventh lens has one inflection point IF724 which is the fourth nearest to the optical axis, and the sinkage value of the inflection point IF724 is denoted by SGI724 (instance). A distance perpendicular to the optical axis between the inflection point IF724 and the optical axis is HIF724 (instance). 
     An inflection point, a distance perpendicular to the optical axis between the inflection point and the optical axis, and a sinkage value thereof on the object-side surface or image-side surface of other lenses is denoted in the same manner. 
     The lens parameter related to an aberration: 
     Optical distortion for image formation in the optical image capturing system is denoted by ODT. TV distortion for image formation in the optical image capturing system is denoted by TDT. Further, the range of the aberration offset for the view of image formation may be limited to 50%-100% field. An offset of the spherical aberration is denoted by DFS. An offset of the coma aberration is denoted by DFC. 
     Transverse aberration on an edge of an aperture is denoted by STA, which stands for STOP transverse aberration, and is used to evaluate the performance of one specific optical image capturing system. The transverse aberration of light in any field of view can be calculated with a tangential fan or a sagittal fan. More specifically, the transverse aberration caused when the longest operation wavelength (e.g., 650 nm) and the shortest operation wavelength (e.g., 470 nm) pass through the edge of the aperture can be used as the reference for evaluating performance. The coordinate directions of the aforementioned tangential fan can be further divided into a positive direction (upper light) and a negative direction (lower light). The longest operation wavelength which passes through the edge of the aperture has an imaging position on the image plane in a particular field of view, and the reference wavelength of the mail light (e.g., 555 nm) has another imaging position on the image plane in the same field of view. The transverse aberration caused when the longest operation wavelength passes through the edge of the aperture is defined as a distance between these two imaging positions. Similarly, the shortest operation wavelength which passes through the edge of the aperture has an imaging position on the image plane in a particular field of view, and the transverse aberration caused when the shortest operation wavelength passes through the edge of the aperture is defined as a distance between the imaging position of the shortest operation wavelength and the imaging position of the reference wavelength. The performance of the optical image capturing system can be considered excellent if the transverse aberrations of the shortest and the longest operation wavelength which pass through the edge of the aperture and image on the image plane in 0.7 field of view (i.e., 0.7 times the height for image formation HOI) are both less than 100 μm. Furthermore, for a stricter evaluation, the performance cannot be considered excellent unless the transverse aberrations of the shortest and the longest operation wavelength which pass through the edge of the aperture and image on the image plane in 0.7 field of view are both less than 80 μm. 
     The optical image capturing system has a maximum image height HOI on the image plane vertical to the optical axis. A transverse aberration at 0.7 HOI in the positive direction of the tangential fan after the longest operation wavelength of visible light passing through the edge of the aperture is denoted by PLTA; a transverse aberration at 0.7 HOI in the positive direction of the tangential fan after the shortest operation wavelength of visible light passing through the edge of the aperture is denoted by PSTA; a transverse aberration at 0.7 HOI in the negative direction of the tangential fan after the longest operation wavelength of visible light passing through the edge of the aperture is denoted by NLTA; a transverse aberration at 0.7 HOI in the negative direction of the tangential fan after the shortest operation wavelength of visible light passing through the edge of the aperture is denoted by NSTA; a transverse aberration at 0.7 HOI of the sagittal fan after the longest operation wavelength of visible light passing through the edge of the aperture is denoted by SLTA; a transverse aberration at 0.7 HOI of the sagittal fan after the shortest operation wavelength of visible light passing through the edge of the aperture is denoted by SSTA. 
     The present invention provides an optical image capturing system capable of focusing for both visible light and infrared light (i.e., dual mode) with certain performance, in which the seventh lens is provided with an inflection point at the object-side surface or at the image-side surface to adjust the incident angle of each view field and modify the ODT and the TDT. In addition, the surfaces of the seventh lens are capable of modifying the optical path to improve the imagining quality. 
     The optical image capturing system of the present invention includes a first lens, a second lens, a third lens, a fourth lens, a fifth lens, a sixth lens, a seventh lens, and an image plane in order along an optical axis from an object side to an image side. The first lens has refractive power. The optical image capturing system satisfies:
 
1.0≦ f /HEP≦10.0; 0 deg&lt;HAF≦150 deg; and 0.9≦2(ARE/HEP)≦1.5;
 
     where f1, f2, f3, f4, f5, f6, and f7 are respectively the focal lengths of the first lens to the seventh lens; f is a focal length of the optical image capturing system; HEP is an entrance pupil diameter of the optical image capturing system; HOS is a distance in parallel with the optical axis between an object-side surface, which face the object side, of the first lens and the image plane; InTL is a distance between the object-side surface of the first lens and the image-side surface of the seventh lens on the optical axis; HAF is a half of the maximum field angle; ARE is a profile curve length measured from a start point where the optical axis of the belonging optical image capturing system passes through the surface of the lens, along a surface profile of the lens, and finally to a coordinate point of a perpendicular distance where is a half of the entrance pupil diameter away from the optical axis. 
     The present invention further provides an optical image capturing system, including a first lens, a second lens, a third lens, a fourth lens, a fifth lens, a sixth lens, a seventh lens, and an image plane in order along an optical axis from an object side to an image side. The first lens has refractive power. The second lens has refractive power. The third lens has refractive power. The fourth lens has refractive power. The fifth lens has refractive power. The sixth lens has refractive power. The seventh lens has refractive power, wherein the object-side surface and the image-side surface thereof are both aspheric surfaces. Each of at least two lenses among the first lens to the seventh lens has at least an inflection point on at least a surface thereof. The optical image capturing system satisfies:
 
1.0≦ f /HEP≦10.0; 0 deg&lt;HAF≦150 deg; and 0.9≦2(ARE/HEP)≦1.5;
 
     where f1, f2, f3, f4, f5, f6, and f7 are respectively the focal lengths of the first lens to the seventh lens; f is a focal length of the optical image capturing system; HEP is an entrance pupil diameter of the optical image capturing system; HOS is a distance in parallel with the optical axis between an object-side surface, which face the object side, of the first lens and the image plane; InTL is a distance between the object-side surface of the first lens and the image-side surface of the seventh lens on the optical axis; HAF is a half of the maximum field angle; ARE is a profile curve length measured from a start point where the optical axis of the belonging optical image capturing system passes through the surface of the lens, along a surface profile of the lens, and finally to a coordinate point of a perpendicular distance where is a half of the entrance pupil diameter away from the optical axis. 
     The present invention further provides an optical image capturing system, including a first lens, a second lens, a third lens, a fourth lens, a fifth lens, a sixth lens, a seventh lens, and an image plane, in order along an optical axis from an object side to an image side. The number of the lenses having refractive power in the optical image capturing system is seven. Each of at least three lenses among the first to the seventh lenses has at least an inflection point. The first lens has positive refractive power, and the second lens has refractive power. The third lens has refractive power. The fourth lens has refractive power. The fifth lens has refractive power. The sixth lens has refractive power. The seventh lens has refractive power. The optical image capturing system satisfies:
 
1.0≦ f /HEP≦10.0; 0 deg&lt;HAF≦150 deg; and 0.9≦2(ARE/HEP)≦1.5;
 
     where f1, f2, f3, f4, f5, f6, and f7 are respectively the focal lengths of the first lens to the seventh lens; f is a focal length of the optical image capturing system; HEP is an entrance pupil diameter of the optical image capturing system; HOS is a distance in parallel with the optical axis between an object-side surface, which face the object side, of the first lens and the image plane; InTL is a distance between the object-side surface of the first lens and the image-side surface of the seventh lens on the optical axis; HAF is a half of the maximum field angle; ARE is a profile curve length measured from a start point where the optical axis of the belonging optical image capturing system passes through the surface of the lens, along a surface profile of the lens, and finally to a coordinate point of a perpendicular distance where is a half of the entrance pupil diameter away from the optical axis. 
     For any surface of any lens, the profile curve length within the effective half diameter affects the ability of the surface to correct aberration and differences between optical paths of light in different fields of view. With longer profile curve length, the ability to correct aberration is better. However, the difficulty of manufacturing increases as well. Therefore, the profile curve length within the effective half diameter of any surface of any lens has to be controlled. The ratio between the profile curve length (ARS) within the effective half diameter of one surface and the thickness (TP) of the lens, which the surface belonged to, on the optical axis (i.e., ARS/TP) has to be particularly controlled. For example, the profile curve length of the maximum effective half diameter of the object-side surface of the first lens is denoted by ARS11, the thickness of the first lens on the optical axis is TP1, and the ratio between these two parameters is ARS11/TP1; the profile curve length of the maximum effective half diameter of the image-side surface of the first lens is denoted by ARS12, and the ratio between ARS12 and TP1 is ARS12/TP1. The profile curve length of the maximum effective half diameter of the object-side surface of the second lens is denoted by ARS21, the thickness of the second lens on the optical axis is TP2, and the ratio between these two parameters is ARS21/TP2; the profile curve length of the maximum effective half diameter of the image-side surface of the second lens is denoted by ARS22, and the ratio between ARS22 and TP2 is ARS22/TP2. For any surface of other lenses in the optical image capturing system, the ratio between the profile curve length of the maximum effective half diameter thereof and the thickness of the lens which the surface belonged to is denoted in the same manner. 
     For any surface of any lens, the profile curve length within a half of the entrance pupil diameter (HEP) affects the ability of the surface to correct aberration and differences between optical paths of light in different fields of view. With longer profile curve length, the ability to correct aberration is better. However, the difficulty of manufacturing increases as well. Therefore, the profile curve length within a half of the entrance pupil diameter (HEP) of any surface of any lens has to be controlled. The ratio between the profile curve length (ARE) within a half of the entrance pupil diameter (HEP) of one surface and the thickness (TP) of the lens, which the surface belonged to, on the optical axis (i.e., ARE/TP) has to be particularly controlled. For example, the profile curve length of a half of the entrance pupil diameter (HEP) of the object-side surface of the first lens is denoted by ARE11, the thickness of the first lens on the optical axis is TP1, and the ratio between these two parameters is ARE11/TP1; the profile curve length of a half of the entrance pupil diameter (HEP) of the image-side surface of the first lens is denoted by ARE12, and the ratio between ARE12 and TP1 is ARE12/TP1. The profile curve length of a half of the entrance pupil diameter (HEP) of the object-side surface of the second lens is denoted by ARE21, the thickness of the second lens on the optical axis is TP2, and the ratio between these two parameters is ARE21/TP2; the profile curve length of a half of the entrance pupil diameter (HEP) of the image-side surface of the second lens is denoted by ARE22, and the ratio between ARE22 and TP2 is ARE22/TP2. For any surface of other lenses in the optical image capturing system, the ratio between the profile curve length of a half of the entrance pupil diameter (HEP) thereof and the thickness of the lens which the surface belonged to is denoted in the same manner. 
     In an embodiment, a height of the optical image capturing system (HOS) can be reduced if |f1|&gt;|f7|. 
     In an embodiment, when |f2|+|f3|+|f4|+|f5|+|f6| and |f1|+|f7| of the lenses satisfy the aforementioned conditions, at least one lens among the second to the sixth lenses could have weak positive refractive power or weak negative refractive power. Herein the weak refractive power means the absolute value of the focal length of one specific lens is greater than 10. When at least one lens among the second to the sixth lenses has weak positive refractive power, it may share the positive refractive power of the first lens, and on the contrary, when at least one lens among the second to the sixth lenses has weak negative refractive power, it may fine turn and correct the aberration of the system. 
     In an embodiment, the seventh lens could have negative refractive power, and an image-side surface thereof is concave, it may reduce back focal length and size. Besides, the seventh lens can have at least an inflection point on at least a surface thereof, which may reduce an incident angle of the light of an off-axis field of view and correct the aberration of the off-axis field of view. 
    
    
     
       BRIEF DESCRIPTION OF THE SEVERAL VIEWS OF THE DRAWINGS 
       The present invention will be best understood by referring to the following detailed description of some illustrative embodiments in conjunction with the accompanying drawings, in which 
         FIG. 1A  is a schematic diagram of a first embodiment of the present invention; 
         FIG. 1B  shows curve diagrams of longitudinal spherical aberration, astigmatic field, and optical distortion of the optical image capturing system in the order from left to right of the first embodiment of the present application; 
         FIG. 1C  shows a tangential fan and a sagittal fan of the optical image capturing system of the first embodiment of the present application, and a transverse aberration diagram at 0.7 field of view when a longest operation wavelength and a shortest operation wavelength pass through an edge of an aperture; 
         FIG. 2A  is a schematic diagram of a second embodiment of the present invention; 
         FIG. 2B  shows curve diagrams of longitudinal spherical aberration, astigmatic field, and optical distortion of the optical image capturing system in the order from left to right of the second embodiment of the present application; 
         FIG. 2C  shows a tangential fan and a sagittal fan of the optical image capturing system of the second embodiment of the present application, and a transverse aberration diagram at 0.7 field of view when a longest operation wavelength and a shortest operation wavelength pass through an edge of an aperture; 
         FIG. 3A  is a schematic diagram of a third embodiment of the present invention; 
         FIG. 3B  shows curve diagrams of longitudinal spherical aberration, astigmatic field, and optical distortion of the optical image capturing system in the order from left to right of the third embodiment of the present application; 
         FIG. 3C  shows a tangential fan and a sagittal fan of the optical image capturing system of the third embodiment of the present application, and a transverse aberration diagram at 0.7 field of view when a longest operation wavelength and a shortest operation wavelength pass through an edge of an aperture; 
         FIG. 4A  is a schematic diagram of a fourth embodiment of the present invention; 
         FIG. 4B  shows curve diagrams of longitudinal spherical aberration, astigmatic field, and optical distortion of the optical image capturing system in the order from left to right of the fourth embodiment of the present application; 
         FIG. 4C  shows a tangential fan and a sagittal fan of the optical image capturing system of the fourth embodiment of the present application, and a transverse aberration diagram at 0.7 field of view when a longest operation wavelength and a shortest operation wavelength pass through an edge of an aperture; 
         FIG. 5A  is a schematic diagram of a fifth embodiment of the present invention; 
         FIG. 5B  shows curve diagrams of longitudinal spherical aberration, astigmatic field, and optical distortion of the optical image capturing system in the order from left to right of the fifth embodiment of the present application; 
         FIG. 5C  shows a tangential fan and a sagittal fan of the optical image capturing system of the fifth embodiment of the present application, and a transverse aberration diagram at 0.7 field of view when a longest operation wavelength and a shortest operation wavelength pass through an edge of an aperture; 
         FIG. 6A  is a schematic diagram of a sixth embodiment of the present invention; 
         FIG. 6B  shows curve diagrams of longitudinal spherical aberration, astigmatic field, and optical distortion of the optical image capturing system in the order from left to right of the sixth embodiment of the present application; 
         FIG. 6C  shows a tangential fan and a sagittal fan of the optical image capturing system of the sixth embodiment of the present application, and a transverse aberration diagram at 0.7 field of view when a longest operation wavelength and a shortest operation wavelength pass through an edge of an aperture; 
         FIG. 7A  is a schematic diagram of a seventh embodiment of the present invention; 
         FIG. 7B  shows curve diagrams of longitudinal spherical aberration, astigmatic field, and optical distortion of the optical image capturing system in the order from left to right of the seventh embodiment of the present application; 
         FIG. 7C  shows a tangential fan and a sagittal fan of the optical image capturing system of the seventh embodiment of the present application, and a transverse aberration diagram at 0.7 field of view when a longest operation wavelength and a shortest operation wavelength pass through an edge of an aperture; 
         FIG. 8A  is a schematic diagram of an eighth embodiment of the present invention; 
         FIG. 8B  shows curve diagrams of longitudinal spherical aberration, astigmatic field, and optical distortion of the optical image capturing system in the order from left to right of the eighth embodiment of the present application; and 
         FIG. 8C  shows a tangential fan and a sagittal fan of the optical image capturing system of the eighth embodiment of the present application, and a transverse aberration diagram at 0.7 field of view when a longest operation wavelength and a shortest operation wavelength pass through an edge of an aperture. 
     
    
    
     DETAILED DESCRIPTION OF THE INVENTION 
     An optical image capturing system of the present invention includes a first lens, a second lens, a third lens, a fourth lens, a fifth lens, a sixth lens, a seventh lens, and an image plane from an object side to an image side. The optical image capturing system further is provided with an image sensor at an image plane, wherein the image heights of the following embodiments are all around 3.91 mm. 
     The optical image capturing system can work in three wavelengths, including 486.1 nm, 587.5 nm, and 656.2 nm, wherein 587.5 nm is the main reference wavelength and is the reference wavelength for obtaining the technical characters. The optical image capturing system can also work in five wavelengths, including 470 nm, 510 nm, 555 nm, 610 nm, and 650 nm wherein 555 nm is the main reference wavelength, and is the reference wavelength for obtaining the technical characters. 
     The optical image capturing system of the present invention satisfies 0.5≦ΣPPR/|ΣNPR|≦15, and a preferable range is 1≦ΣPPR/|ΣNPR|≦3.0, where PPR is a ratio of the focal length f of the optical image capturing system to a focal length fp of each of lenses with positive refractive power; NPR is a ratio of the focal length f of the optical image capturing system to a focal length fn of each of lenses with negative refractive power; ΣPPR is a sum of the PPRs of each positive lens; and ΣNPR is a sum of the NPRs of each negative lens. It is helpful for control of an entire refractive power and an entire length of the optical image capturing system. 
     The image sensor is provided on the image plane. The optical image capturing system of the present invention satisfies HOS/HOI≦10; and 0.5≦HOS/f≦10, and a preferable range is 1≦HOS/HOI≦5; and 1≦HOS/f≦7, where HOI is a half of a diagonal of an effective sensing area of the image sensor, i.e., the maximum image height, and HOS is a height of the optical image capturing system, i.e. a distance on the optical axis between the object-side surface of the first lens and the image plane. It is helpful for reduction of the size of the system for used in compact cameras. 
     The optical image capturing system of the present invention further is provided with an aperture to increase image quality. 
     In the optical image capturing system of the present invention, the aperture could be a front aperture or a middle aperture, wherein the front aperture is provided between the object and the first lens, and the middle is provided between the first lens and the image plane. The front aperture provides a long distance between an exit pupil of the system and the image plane, which allows more elements to be installed. The middle could enlarge a view angle of view of the system and increase the efficiency of the image sensor. The optical image capturing system satisfies 0.2≦InS/HOS≦1.1, where InS is a distance between the aperture and the image-side surface of the sixth lens. It is helpful for size reduction and wide angle. 
     The optical image capturing system of the present invention satisfies 0.1≦ΣTP/InTL≦0.9, where InTL is a distance between the object-side surface of the first lens and the image-side surface of the seventh lens, and ΣTP is a sum of central thicknesses of the lenses on the optical axis. It is helpful for the contrast of image and yield rate of manufacture and provides a suitable back focal length for installation of other elements. 
     The optical image capturing system of the present invention satisfies 0.001≦|R1/R2|≦20, and a preferable range is 0.01≦|R1/R2|≦10, where R1 is a radius of curvature of the object-side surface of the first lens, and R2 is a radius of curvature of the image-side surface of the first lens. It provides the first lens with a suitable positive refractive power to reduce the increase rate of the spherical aberration. 
     The optical image capturing system of the present invention satisfies −7&lt;(R13−R14)/(R13+R14)&lt;50, where R13 is a radius of curvature of the object-side surface of the seventh lens, and R14 is a radius of curvature of the image-side surface of the seventh lens. It may modify the astigmatic field curvature. 
     The optical image capturing system of the present invention satisfies IN12/f≦3.0, where IN12 is a distance on the optical axis between the first lens and the second lens. It may correct chromatic aberration and improve the performance. 
     The optical image capturing system of the present invention satisfies IN67/f≦0.8, where IN67 is a distance on the optical axis between the sixth lens and the seventh lens. It may correct chromatic aberration and improve the performance. 
     The optical image capturing system of the present invention satisfies 0.1≦(TP1+IN12)/TP2≦10, where TP1 is a central thickness of the first lens on the optical axis, and TP2 is a central thickness of the second lens on the optical axis. It may control the sensitivity of manufacture of the system and improve the performance. 
     The optical image capturing system of the present invention satisfies 0.1≦(TP7+IN67)/TP6≦10, where TP6 is a central thickness of the sixth lens on the optical axis, TP7 is a central thickness of the seventh lens on the optical axis, and IN67 is a distance between the sixth lens and the seventh lens. It may control the sensitivity of manufacture of the system and improve the performance. 
     The optical image capturing system of the present invention satisfies 0.1≦TP4/(IN34+TP4+IN45)&lt;1, where TP3 is a central thickness of the third lens on the optical axis, TP4 is a central thickness of the fourth lens on the optical axis, TP5 is a central thickness of the fifth lens on the optical axis, IN34 is a distance on the optical axis between the third lens and the fourth lens, IN45 is a distance on the optical axis between the fourth lens and the fifth lens, and InTL is a distance between the object-side surface of the first lens and the image-side surface of the seventh lens. It may fine tune and correct the aberration of the incident rays layer by layer, and reduce the height of the system. 
     The optical image capturing system satisfies 0 mm≦HVT71≦3 mm; 0 mm&lt;HVT72≦6 mm; 0≦HVT71/HVT72; 0 mm≦|SGC71|≦0.5 mm; 0 mm&lt;|SGC72|≦2 mm; and 0&lt;|SGC72|/(|SGC72|+TP7)≦0.9, where HVT71 a distance perpendicular to the optical axis between the critical point C71 on the object-side surface of the seventh lens and the optical axis; HVT72 a distance perpendicular to the optical axis between the critical point C72 on the image-side surface of the seventh lens and the optical axis; SGC71 is a distance in parallel with the optical axis between an point on the object-side surface of the seventh lens where the optical axis passes through and the critical point C71; SGC72 is a distance in parallel with the optical axis between a point on the image-side surface of the seventh lens where the optical axis passes through and the critical point C72. It is helpful to correct the off-axis view field aberration. 
     The optical image capturing system satisfies 0.2≦HVT72/HOI≦0.9, and preferably satisfies 0.3≦HVT72/HOI≦0.8. It may help to correct the peripheral aberration. 
     The optical image capturing system satisfies 0≦HVT72/HOS≦0.5, and preferably satisfies 0.2≦HVT72/HOS≦0.45. It may help to correct the peripheral aberration. 
     The optical image capturing system of the present invention satisfies 0&lt;SGI711/(SGI711+TP7)≦0.9; 0&lt;SGI721/(SGI721+TP7)≦0.9, and it is preferable to satisfy 0.1≦SGI711/(SGI711+TP7)≦0.6; 0.1≦SGI721/(SGI721+TP7)≦0.6, where SGI711 is a displacement in parallel with the optical axis, from a point on the object-side surface of the seventh lens, through which the optical axis passes, to the inflection point on the object-side surface, which is the closest to the optical axis, and SGI721 is a displacement in parallel with the optical axis, from a point on the image-side surface of the seventh lens, through which the optical axis passes, to the inflection point on the image-side surface, which is the closest to the optical axis. 
     The optical image capturing system of the present invention satisfies 0&lt;SGI712/(SGI712+TP7)≦0.9; 0&lt;SGI722/(SGI722+TP7)≦0.9, and it is preferable to satisfy 0.1≦SGI712/(SGI712+TP7)≦0.6; 0.1≦SGI722/(SGI722+TP7)≦0.6, where SGI712 is a displacement in parallel with the optical axis, from a point on the object-side surface of the seventh lens, through which the optical axis passes, to the inflection point on the object-side surface, which is the second closest to the optical axis, and SGI722 is a displacement in parallel with the optical axis, from a point on the image-side surface of the seventh lens, through which the optical axis passes, to the inflection point on the image-side surface, which is the second closest to the optical axis. 
     The optical image capturing system of the present invention satisfies 0.001 mm≦|HIF711|≦5 mm; 0.001 mm≦|HIF721|≦5 mm, and it is preferable to satisfy 0.1 mm≦|HIF711|≦3.5 mm; 1.5 mm≦|HIF721|≦3.5 mm, where HIF711 is a distance perpendicular to the optical axis between the inflection point on the object-side surface of the seventh lens, which is the closest to the optical axis, and the optical axis; HIF721 is a distance perpendicular to the optical axis between the inflection point on the image-side surface of the seventh lens, which is the closest to the optical axis, and the optical axis. 
     The optical image capturing system of the present invention satisfies 0.001 mm≦|HIF712|≦5 mm; 0.001 mm≦|HIF722|≦5 mm, and it is preferable to satisfy 0.1 mm≦|HIF722|≦3.5 mm; 0.1 mm≦|HIF712|≦3.5 mm, where HIF712 is a distance perpendicular to the optical axis between the inflection point on the object-side surface of the seventh lens, which is the second closest to the optical axis, and the optical axis; HIF722 is a distance perpendicular to the optical axis between the inflection point on the image-side surface of the seventh lens, which is the second closest to the optical axis, and the optical axis. 
     The optical image capturing system of the present invention satisfies 0.001 mm≦|HIF713|≦5 mm; 0.001 mm≦|HIF723|≦5 mm, and it is preferable to satisfy 0.1 mm≦|HIF723|≦3.5 mm; 0.1 mm≦|HIF713|≦3.5 mm, where HIF713 is a distance perpendicular to the optical axis between the inflection point on the object-side surface of the seventh lens, which is the third closest to the optical axis, and the optical axis; HIF723 is a distance perpendicular to the optical axis between the inflection point on the image-side surface of the seventh lens, which is the third closest to the optical axis, and the optical axis. 
     The optical image capturing system of the present invention satisfies 0.001 mm≦|HIF714|≦5 mm; 0.001 mm≦|HIF724|≦5 mm, and it is preferable to satisfy 0.1 mm≦|HIF724|≦3.5 mm; 0.1 mm≦|HIF714|≦3.5 mm, where HIF714 is a distance perpendicular to the optical axis between the inflection point on the object-side surface of the seventh lens, which is the fourth closest to the optical axis, and the optical axis; HIF724 is a distance perpendicular to the optical axis between the inflection point on the image-side surface of the seventh lens, which is the fourth closest to the optical axis, and the optical axis. 
     In an embodiment, the lenses of high Abbe number and the lenses of low Abbe number are arranged in an interlaced arrangement that could be helpful for correction of aberration of the system. 
     An equation of aspheric surface 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 depression of the aspheric surface; k is conic constant; c is reciprocal of the radius of curvature; and A4, A6, A8, A10, A12, A14, A16, A18, and A20 are high-order aspheric coefficients. 
     In the optical image capturing system, the lenses could be made of plastic or glass. The plastic lenses may reduce the weight and lower the cost of the system, and the glass lenses may control the thermal effect and enlarge the space for arrangement of the refractive power of the system. In addition, the opposite surfaces (object-side surface and image-side surface) of the first to the seventh lenses could be aspheric that can obtain more control parameters to reduce aberration. The number of aspheric glass lenses could be less than the conventional spherical glass lenses, which is helpful for reduction of the height of the system. 
     When the lens has a convex surface, which means that the surface is convex around a position, through which the optical axis passes, and when the lens has a concave surface, which means that the surface is concave around a position, through which the optical axis passes. 
     The optical image capturing system of the present invention could be applied in a dynamic focusing optical system. It is superior in the correction of aberration and high imaging quality so that it could be allied in lots of fields. 
     The optical image capturing system of the present invention could further include a driving module to meet different demands, wherein the driving module can be coupled with the lenses to move the lenses. The driving module can be a voice coil motor (VCM), which is used to move the lens for focusing, or can be an optical image stabilization (OIS) component, which is used to lower the possibility of having the problem of image blurring which is caused by subtle movements of the lens while shooting. 
     To meet different requirements, at least one lens among the first lens to the seventh lens of the optical image capturing system of the present invention can be a light filter, which filters out light of wavelength shorter than 500 nm. Such effect can be achieved by coating on at least one surface of the lens, or by using materials capable of filtering out short waves to make the lens. 
     We provide several embodiments in conjunction with the accompanying drawings for the best understanding, which are: 
     First Embodiment 
     As shown in  FIG. 1A  and  FIG. 1B , an optical image capturing system  10  of the first embodiment of the present invention includes, along an optical axis from an object side to an image side, a first lens  110 , an aperture  100 , a second lens  120 , a third lens  130 , a fourth lens  140 , a fifth lens  150 , a sixth lens  160 , a seventh lens  170 , an infrared rays filter  180 , an image plane  190 , and an image sensor  192 .  FIG. 1C  shows a tangential fan and a sagittal fan of the optical image capturing system  10  of the first embodiment of the present application, and a transverse aberration diagram at 0.7 field of view when a longest operation wavelength and a shortest operation wavelength pass through an edge of the aperture  100 . 
     The first lens  110  has negative refractive power and is made of plastic. An object-side surface  112  thereof, which faces the object side, is a concave aspheric surface, and an image-side surface  114  thereof, which faces the image side, is a concave aspheric surface. The object-side surface  112  has an inflection point, and the image-side surface  114  has two inflection points. A profile curve length of the maximum effective half diameter of an object-side surface of the first lens  110  is denoted by ARS11, and a profile curve length of the maximum effective half diameter of the image-side surface of the first lens  110  is denoted by ARS12. A profile curve length of a half of an entrance pupil diameter (HEP) of the object-side surface of the first lens  110  is denoted by ARE11, and a profile curve length of a half of the entrance pupil diameter (HEP) of the image-side surface of the first lens  110  is denoted by ARE12. A thickness of the first lens  110  on the optical axis is TP1. 
     The first lens  110  satisfies SGI111=−0.1110 mm; SGI121=2.7120 mm; TP1=2.2761 mm; |SGI111|/(|SGI111|+TP1)=0.0465; |SGI121|/(|SGI121|+TP1)=0.5437, where a displacement in parallel with the optical axis from a point on the object-side surface of the first lens, through which the optical axis passes, to the inflection point on the image-side surface, which is the closest to the optical axis is denoted by SGI111, and a displacement in parallel with the optical axis from a point on the image-side surface of the first lens, through which the optical axis passes, to the inflection point on the image-side surface, which is the closest to the optical axis is denoted by SGI121. 
     The first lens  110  satisfies SGI112=0 mm; SGI122=4.2315 mm; |SGI112|/(|SGI112|+TP1)=0; |SGI122|/(|SGI122|+TP1)=0.6502, where a displacement in parallel with the optical axis from a point on the object-side surface of the first lens, through which the optical axis passes, to the inflection point on the image-side surface, which is the second closest to the optical axis is denoted by SGI112, and a displacement in parallel with the optical axis from a point on the image-side surface of the first lens, through which the optical axis passes, to the inflection point on the image-side surface, which is the second closest to the optical axis is denoted by SGI122. 
     The first lens  110  satisfies HIF111=12.8432 mm; HIF111/HOI=1.7127; HIF121=7.1744 mm; HIF121/HOI=0.9567, where a displacement perpendicular to the optical axis from a point on the object-side surface of the first lens, through which the optical axis passes, to the inflection point, which is the closest to the optical axis is denoted by HIF111, and a displacement perpendicular to the optical axis from a point on the image-side surface of the first lens, through which the optical axis passes, to the inflection point, which is the closest to the optical axis is denoted by HIF121. 
     The first lens  110  satisfies HIF112=0 mm; HIF112/HOI=0; HIF122=9.8592 mm; HIF122/HOI=1.3147, where a displacement perpendicular to the optical axis from a point on the object-side surface of the first lens, through which the optical axis passes, to the inflection point, which is the second closest to the optical axis is denoted by HIF112, and a displacement perpendicular to the optical axis from a point on the image-side surface of the first lens, through which the optical axis passes, to the inflection point, which is the second closest to the optical axis is denoted by HIF122. 
     The second lens  120  has positive refractive power and is made of plastic. An object-side surface  122  thereof, which faces the object side, is a convex aspheric surface, and an image-side surface  124  thereof, which faces the image side, is a concave aspheric surface. A profile curve length of the maximum effective half diameter of an object-side surface of the second lens  120  is denoted by ARS21, and a profile curve length of the maximum effective half diameter of the image-side surface of the second lens  120  is denoted by ARS22. A profile curve length of a half of an entrance pupil diameter (HEP) of the object-side surface of the second lens  120  is denoted by ARE21, and a profile curve length of a half of the entrance pupil diameter (HEP) of the image-side surface of the second lens  120  is denoted by ARE22. A thickness of the second lens  120  on the optical axis is TP2. 
     For the second lens  120 , a displacement in parallel with the optical axis from a point on the object-side surface of the second lens, through which the optical axis passes, to the inflection point on the image-side surface, which is the closest to the optical axis is denoted by SGI211, and a displacement in parallel with the optical axis from a point on the image-side surface of the second lens, through which the optical axis passes, to the inflection point on the image-side surface, which is the closest to the optical axis is denoted by SGI221. 
     For the second lens, a displacement perpendicular to the optical axis from a point on the object-side surface of the second lens, through which the optical axis passes, to the inflection point, which is the closest to the optical axis is denoted by HIF211, and a displacement perpendicular to the optical axis from a point on the image-side surface of the second lens, through which the optical axis passes, to the inflection point, which is the closest to the optical axis is denoted by HIF221. 
     The third lens  130  has negative refractive power and is made of plastic. An object-side surface  132 , which faces the object side, is a convex aspheric surface, and an image-side surface  134 , which faces the image side, is a concave aspheric surface. A profile curve length of the maximum effective half diameter of an object-side surface of the third lens  130  is denoted by ARS31, and a profile curve length of the maximum effective half diameter of the image-side surface of the third lens  130  is denoted by ARS32. A profile curve length of a half of an entrance pupil diameter (HEP) of the object-side surface of the third lens  130  is denoted by ARE31, and a profile curve length of a half of the entrance pupil diameter (HEP) of the image-side surface of the third lens  130  is denoted by ARE32. A thickness of the third lens  130  on the optical axis is TP3. 
     For the third lens  130 , SGI311 is a displacement in parallel with the optical axis, from a point on the object-side surface of the third lens, through which the optical axis passes, to the inflection point on the object-side surface, which is the closest to the optical axis, and SGI321 is a displacement in parallel with the optical axis, from a point on the image-side surface of the third lens, through which the optical axis passes, to the inflection point on the image-side surface, which is the closest to the optical axis. 
     For the third lens  130 , SGI312 is a displacement in parallel with the optical axis, from a point on the object-side surface of the third lens, through which the optical axis passes, to the inflection point on the object-side surface, which is the second closest to the optical axis, and SGI322 is a displacement in parallel with the optical axis, from a point on the image-side surface of the third lens, through which the optical axis passes, to the inflection point on the object-side surface, which is the second closest to the optical axis. 
     For the third lens  130 , HIF311 is a distance perpendicular to the optical axis between the inflection point on the object-side surface of the third lens, which is the closest to the optical axis, and the optical axis; HIF321 is a distance perpendicular to the optical axis between the inflection point on the image-side surface of the third lens, which is the closest to the optical axis, and the optical axis. 
     For the third lens  130 , HIF312 is a distance perpendicular to the optical axis between the inflection point on the object-side surface of the third lens, which is the second closest to the optical axis, and the optical axis; HIF322 is a distance perpendicular to the optical axis between the inflection point on the image-side surface of the third lens, which is the second closest to the optical axis, and the optical axis. 
     The fourth lens  140  has positive refractive power and is made of plastic. An object-side surface  142 , which faces the object side, is a convex aspheric surface, and an image-side surface  144 , which faces the image side, is a convex aspheric surface. The object-side surface  142  has an inflection point. A profile curve length of the maximum effective half diameter of an object-side surface of the fourth lens  140  is denoted by ARS41, and a profile curve length of the maximum effective half diameter of the image-side surface of the fourth lens  140  is denoted by ARS42. A profile curve length of a half of an entrance pupil diameter (HEP) of the object-side surface of the fourth lens  140  is denoted by ARE41, and a profile curve length of a half of the entrance pupil diameter (HEP) of the image-side surface of the fourth lens  140  is denoted by ARE42. A thickness of the fourth lens  140  on the optical axis is TP4. 
     The fourth lens  140  satisfies SGI411=0.0018 mm; |SGI411|/(|SGI411|+TP4)=0.0009, where SGI411 is a displacement in parallel with the optical axis, from a point on the object-side surface of the fourth lens, through which the optical axis passes, to the inflection point on the object-side surface, which is the closest to the optical axis, and SGI421 is a displacement in parallel with the optical axis, from a point on the image-side surface of the fourth lens, through which the optical axis passes, to the inflection point on the image-side surface, which is the closest to the optical axis. 
     For the fourth lens  140 , SGI412 is a displacement in parallel with the optical axis, from a point on the object-side surface of the fourth lens, through which the optical axis passes, to the inflection point on the object-side surface, which is the second closest to the optical axis, and SGI422 is a displacement in parallel with the optical axis, from a point on the image-side surface of the fourth lens, through which the optical axis passes, to the inflection point on the object-side surface, which is the second closest to the optical axis. 
     The fourth lens  140  further satisfies HIF411=0.7191 mm; HIF411/HIF411/HOI=0.0959, where HIF411 is a distance perpendicular to the optical axis between the inflection point on the object-side surface of the fourth lens, which is the closest to the optical axis, and the optical axis; HIF421 is a distance perpendicular to the optical axis between the inflection point on the image-side surface of the fourth lens, which is the closest to the optical axis, and the optical axis. 
     For the fourth lens  140 , HIF412 is a distance perpendicular to the optical axis between the inflection point on the object-side surface of the fourth lens, which is the second closest to the optical axis, and the optical axis; HIF422 is a distance perpendicular to the optical axis between the inflection point on the image-side surface of the fourth lens, which is the second closest to the optical axis, and the optical axis. 
     The fifth lens  150  has positive refractive power and is made of plastic. An object-side surface  152 , which faces the object side, is a concave aspheric surface, and an image-side surface  154 , which faces the image side, is a convex aspheric surface. The object-side surface  152  and the image-side surface  154  both have an inflection point. A profile curve length of the maximum effective half diameter of an object-side surface of the fifth lens  150  is denoted by ARS51, and a profile curve length of the maximum effective half diameter of the image-side surface of the fifth lens  150  is denoted by ARS52. A profile curve length of a half of an entrance pupil diameter (HEP) of the object-side surface of the fifth lens  150  is denoted by ARE51, and a profile curve length of a half of the entrance pupil diameter (HEP) of the image-side surface of the fifth lens  150  is denoted by ARE52. A thickness of the fifth lens  150  on the optical axis is TP5. 
     The fifth lens  150  satisfies SGI511=−0.1246 mm; SGI521=−2.1477 mm; |SGI511|/(|SGI511|+TP5)=0.0284; |SGI521|/(|SGI521|+TP5)=0.3346, where SGI511 is a displacement in parallel with the optical axis, from a point on the object-side surface of the fifth lens, through which the optical axis passes, to the inflection point on the object-side surface, which is the closest to the optical axis, and SGI521 is a displacement in parallel with the optical axis, from a point on the image-side surface of the fifth lens, through which the optical axis passes, to the inflection point on the image-side surface, which is the closest to the optical axis. 
     For the fifth lens  150 , SGI512 is a displacement in parallel with the optical axis, from a point on the object-side surface of the fifth lens, through which the optical axis passes, to the inflection point on the object-side surface, which is the second closest to the optical axis, and SGI522 is a displacement in parallel with the optical axis, from a point on the image-side surface of the fifth lens, through which the optical axis passes, to the inflection point on the object-side surface, which is the second closest to the optical axis. 
     The fifth lens  150  further satisfies HIF511=3.8179 mm; HIF521=4.5480 mm; HIF511/HOI=0.5091; HIF521/HOI=0.6065, where HIF511 is a distance perpendicular to the optical axis between the inflection point on the object-side surface of the fifth lens, which is the closest to the optical axis, and the optical axis; HIF521 is a distance perpendicular to the optical axis between the inflection point on the image-side surface of the fifth lens, which is the closest to the optical axis, and the optical axis. 
     For the fifth lens  150 , HIF512 is a distance perpendicular to the optical axis between the inflection point on the object-side surface of the fifth lens, which is the second closest to the optical axis, and the optical axis; HIF522 is a distance perpendicular to the optical axis between the inflection point on the image-side surface of the fifth lens, which is the second closest to the optical axis, and the optical axis. 
     The sixth lens  160  has negative refractive power and is made of plastic. An object-side surface  162 , which faces the object side, is a convex surface, and an image-side surface  164 , which faces the image side, is a concave surface. The object-side surface  162  and the image-side surface  164  both have an inflection point. Whereby, incident angle of each field of view for the sixth lens can be effectively adjusted to improve aberration. A profile curve length of the maximum effective half diameter of an object-side surface of the sixth lens  160  is denoted by ARS61, and a profile curve length of the maximum effective half diameter of the image-side surface of the sixth lens  160  is denoted by ARS62. A profile curve length of a half of an entrance pupil diameter (HEP) of the object-side surface of the sixth lens  160  is denoted by ARE61, and a profile curve length of a half of the entrance pupil diameter (HEP) of the image-side surface of the sixth lens  160  is denoted by ARE62. A thickness of the sixth lens  160  on the optical axis is TP6. 
     The sixth lens  160  satisfies SGI611=0.3208 mm; SGI621=0.5937 mm; |SGI611|/(|SGI611|+TP6)=0.5167; |SGI621|/(|SGI621|+TP6)=0.6643, where SGI611 is a displacement in parallel with the optical axis, from a point on the object-side surface of the sixth lens, through which the optical axis passes, to the inflection point on the object-side surface, which is the closest to the optical axis, and SGI621 is a displacement in parallel with the optical axis, from a point on the image-side surface of the sixth lens, through which the optical axis passes, to the inflection point on the image-side surface, which is the closest to the optical axis. 
     The sixth lens  160  further satisfies HIF611=1.9655 mm; HIF621=2.0041 mm; HIF611/HOI=0.2621; HIF621/HOI=0.2672, where HIF611 is a distance perpendicular to the optical axis between the inflection point on the object-side surface of the sixth lens, which is the closest to the optical axis, and the optical axis; HIF621 is a distance perpendicular to the optical axis between the inflection point on the image-side surface of the sixth lens, which is the closest to the optical axis, and the optical axis. 
     The seventh lens  170  has positive refractive power and is made of plastic. An object-side surface  172 , which faces the object side, is a convex surface, and an image-side surface  174 , which faces the image side, is a concave surface. Whereby, it is helpful to shorten the focal length behind the seventh lens for miniaturization. The object-side surface  172  and the image-side surface  174  both have an inflection point. A profile curve length of the maximum effective half diameter of an object-side surface of the seventh lens  170  is denoted by ARS71, and a profile curve length of the maximum effective half diameter of the image-side surface of the seventh lens  170  is denoted by ARS72. A profile curve length of a half of an entrance pupil diameter (HEP) of the object-side surface of the seventh lens  170  is denoted by ARE71, and a profile curve length of a half of the entrance pupil diameter (HEP) of the image-side surface of the seventh lens  170  is denoted by ARE72. A thickness of the seventh lens  170  on the optical axis is TP7. 
     The seventh lens  170  satisfies SGI711=0.5212 mm; SGI721=0.5668 mm; |SGI711|/(|SGI711|+TP7)=0.3179; |SGI721|/(|SGI721|+TP7)=0.3364, where SGI711 is a displacement in parallel with the optical axis, from a point on the object-side surface of the seventh lens, through which the optical axis passes, to the inflection point on the object-side surface, which is the closest to the optical axis, and SGI721 is a displacement in parallel with the optical axis, from a point on the image-side surface of the seventh lens, through which the optical axis passes, to the inflection point on the image-side surface, which is the closest to the optical axis. 
     The seventh lens  170  further satisfies HIF711=1.6707 mm; HIF721=1.8616 mm; HIF711/HOI=0.2228; HIF721/HOI=0.2482, where HIF711 is a distance perpendicular to the optical axis between the inflection point on the object-side surface of the seventh lens, which is the closest to the optical axis, and the optical axis; HIF721 is a distance perpendicular to the optical axis between the inflection point on the image-side surface of the seventh lens, which is the closest to the optical axis, and the optical axis. 
     The features related to the inflection points in the present embodiment described below are obtained with the main reference wavelength 555 nm. 
     The infrared rays filter  180  is made of glass and between the seventh lens  170  and the image plane  190 . The infrared rays filter  180  gives no contribution to the focal length of the system. 
     The optical image capturing system  10  of the first embodiment has the following parameters, which are f=4.3019 mm; f/HEP=1.2; HAF=59.9968; and tan(HAF)=1.7318, where f is a focal length of the system; HAF is a half of the maximum field angle; and HEP is an entrance pupil diameter. 
     The parameters of the lenses of the first embodiment are f1=−14.5286 mm; |f/f1|=0.2961; f7=8.2933; |f1|&gt;f7; and |f1/f7|=1.7519, where f1 is a focal length of the first lens  110 ; and f7 is a focal length of the seventh lens  170 . 
     The first embodiment further satisfies |f2|+|f3|+|f4|+|f5|+‥f6|=144.7494; |f1|+|f7|=22.8219 and |f2|+|f3|+|f4|+|f5|+|f6|&gt;|f1|+|f7|, where f2 is a focal length of the second lens  120 , f3 is a focal length of the third lens  130 , f4 is a focal length of the fourth lens  140 , f5 is a focal length of the fifth lens  150 , f6 is a focal length of the sixth lens  160 , and f7 is a focal length of the seventh lens  170 . 
     The optical image capturing system  10  of the first embodiment further satisfies ΣPPR=f/f2+f/f4+f/f5+f/f7=1.7384; ΣNPR=f/f1+f/f3+f/f6=−0.9999; ΣPPR/|ΣNPR|=1.7386; |f/f2|=0.1774; |f/f3|=0.0443; |f/f4|=0.4411; |f/f5|=0.6012; |f/f6|=0.6595; |f/f7|=0.5187, where PPR is a ratio of a focal length f of the optical image capturing system to a focal length fp of each of the lenses with positive refractive power; and NPR is a ratio of a focal length f of the optical image capturing system to a focal length fn of each of lenses with negative refractive power. 
     The optical image capturing system  10  of the first embodiment further satisfies InTL+BFL=HOS; HOS=26.9789 mm; HOI=7.5 mm; HOS/HOI=3.5977; HOS/f=6.2715; InS=12.4615 mm; and InS/HOS=0.4619, where InTL is a distance between the object-side surface  112  of the first lens  110  and the image-side surface  174  of the seventh lens  170 ; HOS is a height of the image capturing system, i.e. a distance between the object-side surface  112  of the first lens  110  and the image plane  190 ; InS is a distance between the aperture  100  and the image plane  190 ; HOI is a half of a diagonal of an effective sensing area of the image sensor  192 , i.e., the maximum image height; and BFL is a distance between the image-side surface  174  of the seventh lens  170  and the image plane  190 . 
     The optical image capturing system  10  of the first embodiment further satisfies ΣTP=16.0446 mm; and ΣTP/InTL=0.6559, where ΣTP is a sum of the thicknesses of the lenses  110 - 170  with refractive power. It is helpful for the contrast of image and yield rate of manufacture and provides a suitable back focal length for installation of other elements. 
     The optical image capturing system  10  of the first embodiment further satisfies |R1/R2|=129.9952, where R1 is a radius of curvature of the object-side surface  112  of the first lens  110 , and R2 is a radius of curvature of the image-side surface  114  of the first lens  110 . It provides the first lens with a suitable positive refractive power to reduce the increase rate of the spherical aberration. 
     The optical image capturing system  10  of the first embodiment further satisfies (R13−R14)/(R13+R14)=−0.0806, where R13 is a radius of curvature of the object-side surface  172  of the seventh lens  170 , and R14 is a radius of curvature of the image-side surface  174  of the seventh lens  170 . It may modify the astigmatic field curvature. 
     The optical image capturing system  10  of the first embodiment further satisfies ΣPP=f2+f4+f5+f7=49.4535 mm; and f4/(f2+f4+f5+f7)=0.1972, where ΣPP is a sum of the focal lengths fp of each lens with positive refractive power. It is helpful to share the positive refractive power of the fourth lens  140  to other positive lenses to avoid the significant aberration caused by the incident rays. 
     The optical image capturing system  10  of the first embodiment further satisfies ΣNP=f1+f3+f6=−118.1178 mm; and f1/(f1+f3+f6)=0.1677, where ΣNP is a sum of the focal lengths fn of each lens with negative refractive power. It is helpful to share the negative refractive power of the first lens  110  to other negative lenses, which avoids the significant aberration caused by the incident rays. 
     The optical image capturing system  10  of the first embodiment further satisfies IN12=4.5524 mm; IN12/f=1.0582, where IN12 is a distance on the optical axis between the first lens  110  and the second lens  120 . It may correct chromatic aberration and improve the performance. 
     The optical image capturing system  10  of the first embodiment further satisfies TP1=2.2761 mm; TP2=0.2398 mm; and (TP1+IN12)/TP2=1.3032, where TP1 is a central thickness of the first lens  110  on the optical axis, and TP2 is a central thickness of the second lens  120  on the optical axis. It may control the sensitivity of manufacture of the system and improve the performance. 
     The optical image capturing system  10  of the first embodiment further satisfies TP6=0.3000 mm; TP7=1.1182 mm; and (TP7+IN67)/TP6=4.4322, where TP6 is a central thickness of the sixth lens  160  on the optical axis, TP7 is a central thickness of the seventh lens  170  on the optical axis, and IN67 is a distance on the optical axis between the sixth lens  160  and the seventh lens  170 . It may control the sensitivity of manufacture of the system and lower the total height of the system. 
     The optical image capturing system  10  of the first embodiment further satisfies TP3=0.8369 mm; TP4=2.0022 mm; TP5=4.2706 mm; IN34=1.9268 mm; IN45=1.5153 mm; and TP4/(IN34+TP4+IN45)=0.3678, where TP3 is a central thickness of the third lens  130  on the optical axis, TP4 is a central thickness of the fourth lens  140  on the optical axis, TP5 is a central thickness of the fifth lens  150  on the optical axis, IN34 is a distance on the optical axis between the third lens  130  and the fourth lens  140 , and IN45 is a distance on the optical axis between the fourth lens  140  and the fifth lens  150 . It may control the sensitivity of manufacture of the system and lower the total height of the system. 
     The optical image capturing system  10  of the first embodiment further satisfies InRS61=−0.7823 mm; InRS62=−0.2166 mm; and |InRS62|/TP6=0.722, where InRS61 is a displacement in parallel with the optical axis from a point on the object-side surface  162  of the sixth lens  160 , through which the optical axis passes, to a point at the maximum effective semi diameter of the object-side surface  162  of the sixth lens; InRS62 is a displacement in parallel with the optical axis from a point on the image-side surface  164  of the sixth lens  160 , through which the optical axis passes, to a point at the maximum effective semi diameter of the image-side surface  164  of the sixth lens  160 ; and TP6 is a central thickness of the sixth lens  160  on the optical axis. It is helpful for manufacturing and shaping of the lenses and is helpful to reduce the size. 
     The optical image capturing system  10  of the first embodiment further satisfies HVT61=3.3498 mm; HVT62=3.9860 mm; and HVT61/HVT62=0.8404, where HVT61 a distance perpendicular to the optical axis between the critical point on the object-side surface  162  of the sixth lens  160  and the optical axis; and HVT62 a distance perpendicular to the optical axis between the critical point on the image-side surface  164  of the sixth lens  160  and the optical axis. 
     The optical image capturing system  10  of the first embodiment further satisfies InRS71=−0.2756 mm; InRS72=−0.0938 mm; and |InRS72|/TP7=0.0839, where InRS71 is a displacement in parallel with the optical axis from a point on the object-side surface  172  of the seventh lens  170 , through which the optical axis passes, to a point at the maximum effective semi diameter of the object-side surface  172  of the seventh lens  170 ; InRS72 is a displacement in parallel with the optical axis from a point on the image-side surface  174  of the seventh lens  170 , through which the optical axis passes, to a point at the maximum effective semi diameter of the image-side surface  174  of the seventh lens  170 ; and TP7 is a central thickness of the seventh lens  170  on the optical axis. It is helpful for manufacturing and shaping of the lenses and is helpful to reduce the size. 
     The optical image capturing system  10  of the first embodiment satisfies HVT71=3.6822 mm; HVT72=4.0606 mm; and HVT71/HVT72=0.9068, where HVT71 a distance perpendicular to the optical axis between the critical point on the object-side surface  172  of the seventh lens  170  and the optical axis; and HVT72 a distance perpendicular to the optical axis between the critical point on the image-side surface  174  of the seventh lens  170  and the optical axis. 
     The optical image capturing system  10  of the first embodiment satisfies HVT72/HOI=0.5414. It is helpful for correction of the aberration of the peripheral view field of the optical image capturing system. 
     The optical image capturing system  10  of the first embodiment satisfies HVT72/HOS=0.1505. It is helpful for correction of the aberration of the peripheral view field of the optical image capturing system. 
     The second lens  120 , the third lens  130 , and the seventh lens  170  have negative refractive power. The optical image capturing system  10  of the first embodiment further satisfies 1≦NA7/NA2, where NA2 is an Abbe number of the second lens  120 ; and NA7 is an Abbe number of the seventh lens  170 . It may correct the aberration of the optical image capturing system. 
     The optical image capturing system  10  of the first embodiment further satisfies |TDT|=2.5678%; |ODT|=2.1302%, where TDT is TV distortion; and ODT is optical distortion. 
     For the fifth lens  150  of the optical image capturing system  10  in the first embodiment, a transverse aberration at 0.7 field of view in the positive direction of the tangential fan after the shortest operation wavelength of visible light passing through the edge of the aperture  100  is denoted by PSTA, and is 0.00040 mm; a transverse aberration at 0.7 field of view in the positive direction of the tangential fan after the longest operation wavelength of visible light passing through the edge of the aperture  100  is denoted by PLTA, and is −0.009 mm; a transverse aberration at 0.7 field of view in the negative direction of the tangential fan after the shortest operation wavelength of visible light passing through the edge of the aperture  100  is denoted by NSTA, and is −0.002 mm; a transverse aberration at 0.7 field of view in the negative direction of the tangential fan after the longest operation wavelength of visible light passing through the edge of the aperture  100  is denoted by NLTA, and is −0.016 mm; a transverse aberration at 0.7 field of view of the sagittal fan after the shortest operation wavelength of visible light passing through the edge of the aperture  100  is denoted by SSTA, and is 0.018 mm; a transverse aberration at 0.7 field of view of the sagittal fan after the longest operation wavelength of visible light passing through the edge of the aperture  100  is denoted by SLTA, and is 0.016 mm. 
     The parameters of the lenses of the first embodiment are listed in Table 1 and Table 2. 
     
       
         
           
               
             
               
                 TABLE 1 
               
             
            
               
                   
               
               
                 f = 4.3019 mm; f/HEP = 1.2; HAF = 59.9968 deg 
               
            
           
           
               
               
               
               
               
               
               
            
               
                   
                   
                   
                   
                   
                   
                 Focal 
               
               
                   
                 Radius of curvature 
                 Thickness 
                   
                 Refractive 
                 Abbe 
                 length 
               
               
                 Surface 
                 (mm) 
                 (mm) 
                 Material 
                 index 
                 number 
                 (mm) 
               
               
                   
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                 0 
                 Object 
                 plane 
                 infinity 
                   
                   
                   
                   
               
               
                 1 
                 1 st  lens 
                 −1079.499964 
                 2.276 
                 plastic 
                 1.565 
                 58.00 
                 −14.53 
               
               
                 2 
                   
                 8.304149657 
                 4.552 
               
               
                 3 
                 2 nd  lens 
                 14.39130913 
                 5.240 
                 plastic 
                 1.650 
                 21.40 
                 24.25 
               
               
                 4 
                   
                 130.0869482 
                 0.162 
               
               
                 5 
                 3 rd  lens 
                 8.167310118 
                 0.837 
                 plastic 
                 1.650 
                 21.40 
                 −97.07 
               
               
                 6 
                   
                 6.944477468 
                 1.450 
               
               
                 7 
                 Aperture 
                 plane 
                 0.477 
               
               
                 8 
                 4 th  lens 
                 121.5965254 
                 2.002 
                 plastic 
                 1.565 
                 58.00 
                 9.75 
               
               
                 9 
                   
                 −5.755749302 
                 1.515 
               
               
                 10 
                 5 th  lens 
                 −86.27705938 
                 4.271 
                 plastic 
                 1.565 
                 58.00 
                 7.16 
               
               
                 11 
                   
                 −3.942936258 
                 0.050 
               
               
                 12 
                 6 th  lens 
                 4.867364751 
                 0.300 
                 plastic 
                 1.650 
                 21.40 
                 −6.52 
               
               
                 13 
                   
                 2.220604983 
                 0.211 
               
               
                 14 
                 7 th  lens 
                 1.892510651 
                 1.118 
                 plastic 
                 1.650 
                 21.40 
                 8.29 
               
               
                 15 
                   
                 2.224128115 
                 1.400 
               
               
                 16 
                 Infrared 
                 plane 
                 0.200 
                 BK_7 
                 1.517 
                 64.2 
               
               
                   
                 rays 
               
               
                   
                 filter 
               
               
                 17 
                   
                 plane 
                 0.917 
               
               
                 18 
                 Image 
                 plane 
               
               
                   
                 plane 
               
               
                   
               
               
                 Reference wavelength (d-line): 555 nm. 
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 2 
               
               
                   
               
               
                 Coefficients of the aspheric surfaces 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
            
               
                   
                 Surface 
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                   
                 1 
                 2 
                 3 
                 4 
                 5 
                 6 
                 8 
               
               
                   
               
               
                 k 
                 2.500000E+01 
                 −4.711931E−01 
                 1.531617E+00 
                 −1.153034E+01 
                 −2.915013E+00 
                 4.886991E+00 
                 −3.459463E+01 
               
               
                 A4 
                 5.236918E−06 
                 −2.117558E−04 
                 7.146736E−05 
                 4.353586E−04 
                 5.793768E−04 
                 −3.756697E−04 
                 −1.292614E−03 
               
               
                 A6 
                 −3.014384E−08 
                 −1.838670E−06 
                 2.334364E−06 
                 1.400287E−05 
                 2.112652E−04 
                 3.901218E−04 
                 −1.602381E−05 
               
               
                 A8 
                 −2.487400E−10 
                 9.605910E−09 
                 −7.479362E−08 
                 −1.688929E−07 
                 −1.344586E−05 
                 −4.925422E−05 
                 −8.452359E−06 
               
               
                 A10 
                 1.170000E−12 
                 −8.256000E−11 
                 1.701570E−09 
                 3.829807E−08 
                 1.000482E−06 
                 4.139741E−06 
                 7.243999E−07 
               
               
                 A12 
                 0.000000E+00 
                 0.000000E+00 
                 0.000000E+00 
                 0.000000E+00 
                 0.000000E+00 
                 0.000000E+00 
                 0.000000E+00 
               
               
                 A14 
                 0.000000E+00 
                 0.000000E+00 
                 0.000000E+00 
                 0.000000E+00 
                 0.000000E+00 
                 0.000000E+00 
                 0.000000E+00 
               
               
                   
               
            
           
           
               
               
            
               
                   
                 Surface 
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                   
                 9 
                 10 
                 11 
                 12 
                 13 
                 14 
                 15 
               
               
                   
               
               
                 k 
                 −7.549291E+00 
                 −5.000000E+01 
                 −1.740728E+00 
                 −4.709650E+00 
                 −4.509781E+00 
                 −3.427137E+00 
                 −3.215123E+00 
               
               
                 A4 
                 −5.583548E−03 
                 1.240671E−04 
                 6.467538E−04 
                 −1.872317E−03 
                 −8.967310E−04 
                 −3.189453E−03 
                 −2.815022E−03 
               
               
                 A6 
                 1.947110E−04 
                 −4.949077E−05 
                 −4.981838E−05 
                 −1.523141E−05 
                 −2.688331E−05 
                 −1.058126E−05 
                 1.884580E−05 
               
               
                 A8 
                 −1.486947E−05 
                 2.088854E−06 
                 9.129031E−07 
                 −2.169414E−06 
                 −8.324958E−07 
                 1.760103E−06 
                 −1.017223E−08 
               
               
                 A10 
                 −6.501246E−08 
                 −1.438383E−08 
                 7.108550E−09 
                 −2.308304E−08 
                 −6.184250E−09 
                 −4.730294E−08 
                 3.660000E−12 
               
               
                 A12 
                 0.000000E+00 
                 0.000000E+00 
                 0.000000E+00 
                 0.000000E+00 
                 0.000000E+00 
                 0.000000E+00 
                 0.000000E+00 
               
               
                 A14 
                 0.000000E+00 
                 0.000000E+00 
                 0.000000E+00 
                 0.000000E+00 
                 0.000000E+00 
                 0.000000E+00 
                 0.000000E+00 
               
               
                   
               
            
           
         
       
     
     The figures related to the profile curve lengths obtained based on Table 1 and Table 2 are listed in the following table: 
     
       
         
           
               
             
               
                   
               
               
                 First embodiment (Reference wavelength: 555 nm) 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
               
            
               
                   
                   
                   
                 ARE − 
                 2(ARE/HEP) 
                   
                   
               
               
                 ARE 
                 ½(HEP) 
                 ARE value 
                 ½(HEP) 
                 % 
                 TP 
                 ARE/TP (%) 
               
               
                   
               
               
                 11 
                 1.792 
                 1.792 
                 −0.00044 
                 99.98% 
                 2.276 
                 78.73% 
               
               
                 12 
                 1.792 
                 1.806 
                 0.01319 
                 100.74% 
                 2.276 
                 79.33% 
               
               
                 21 
                 1.792 
                 1.797 
                 0.00437 
                 100.24% 
                 5.240 
                 34.29% 
               
               
                 22 
                 1.792 
                 1.792 
                 −0.00032 
                 99.98% 
                 5.240 
                 34.20% 
               
               
                 31 
                 1.792 
                 1.808 
                 0.01525 
                 100.85% 
                 0.837 
                 216.01% 
               
               
                 32 
                 1.792 
                 1.819 
                 0.02705 
                 101.51% 
                 0.837 
                 217.42% 
               
               
                 41 
                 1.792 
                 1.792 
                 −0.00041 
                 99.98% 
                 2.002 
                 89.50% 
               
               
                 42 
                 1.792 
                 1.825 
                 0.03287 
                 101.83% 
                 2.002 
                 91.16% 
               
               
                 51 
                 1.792 
                 1.792 
                 −0.00031 
                 99.98% 
                 4.271 
                 41.96% 
               
               
                 52 
                 1.792 
                 1.845 
                 0.05305 
                 102.96% 
                 4.271 
                 43.21% 
               
               
                 61 
                 1.792 
                 1.818 
                 0.02587 
                 101.44% 
                 0.300 
                 606.10% 
               
               
                 62 
                 1.792 
                 1.874 
                 0.08157 
                 104.55% 
                 0.300 
                 624.67% 
               
               
                 71 
                 1.792 
                 1.898 
                 0.10523 
                 105.87% 
                 1.118 
                 169.71% 
               
               
                 72 
                 1.792 
                 1.885 
                 0.09273 
                 105.17% 
                 1.118 
                 168.59% 
               
               
                   
               
               
                 ARS 
                 EHD 
                 ARS value 
                 ARS − EHD 
                 (ARS/EHD) % 
                 TP 
                 ARS/TP (%) 
               
               
                   
               
               
                 11 
                 15.095 
                 15.096 
                 0.001 
                 100.01% 
                 2.276 
                 663.24% 
               
               
                 12 
                 10.315 
                 11.377 
                 1.062 
                 110.29% 
                 2.276 
                 499.86% 
               
               
                 21 
                 7.531 
                 8.696 
                 1.166 
                 115.48% 
                 5.240 
                 165.96% 
               
               
                 22 
                 4.759 
                 4.881 
                 0.122 
                 102.56% 
                 5.240 
                 93.15% 
               
               
                 31 
                 3.632 
                 4.013 
                 0.382 
                 110.51% 
                 0.837 
                 479.55% 
               
               
                 32 
                 2.815 
                 3.159 
                 0.344 
                 112.23% 
                 0.837 
                 377.47% 
               
               
                 41 
                 2.967 
                 2.971 
                 0.004 
                 100.13% 
                 2.002 
                 148.38% 
               
               
                 42 
                 3.402 
                 3.828 
                 0.426 
                 112.53% 
                 2.002 
                 191.20% 
               
               
                 51 
                 4.519 
                 4.523 
                 0.004 
                 100.10% 
                 4.271 
                 105.91% 
               
               
                 52 
                 5.016 
                 5.722 
                 0.706 
                 114.08% 
                 4.271 
                 133.99% 
               
               
                 61 
                 5.019 
                 5.823 
                 0.805 
                 116.04% 
                 0.300 
                 1941.14% 
               
               
                 62 
                 5.629 
                 6.605 
                 0.976 
                 117.34% 
                 0.300 
                 2201.71% 
               
               
                 71 
                 5.634 
                 6.503 
                 0.869 
                 115.43% 
                 1.118 
                 581.54% 
               
               
                 72 
                 6.488 
                 7.152 
                 0.664 
                 110.24% 
                 1.118 
                 639.59% 
               
               
                   
               
            
           
         
       
     
     The detail parameters of the first embodiment are listed in Table 1, in which the unit of the radius of curvature, thickness, and focal length are millimeter, and surface 0-10 indicates the surfaces of all elements in the system in sequence from the object side to the image side. Table 2 is the list of coefficients of the aspheric surfaces, in which A1-A20 indicate the coefficients of aspheric surfaces from the first order to the twentieth order of each aspheric surface. The following embodiments have the similar diagrams and tables, which are the same as those of the first embodiment, so we do not describe it again. 
     Second Embodiment 
     As shown in  FIG. 2A  and  FIG. 2B , an optical image capturing system  20  of the second embodiment of the present invention includes, along an optical axis from an object side to an image side, a first lens  210 , an aperture  200 , a second lens  220 , a third lens  230 , a fourth lens  240 , a fifth lens  250 , a sixth lens  260 , a seven lens  270 , an infrared rays filter  280 , an image plane  290 , and an image sensor  292 .  FIG. 2C  is a transverse aberration diagram at 0.7 field of view of the second embodiment of the present application. 
     The first lens  210  has positive refractive power and is made of plastic. An object-side surface  212  thereof, which faces the object side, is a convex aspheric surface, and an image-side surface  214  thereof, which faces the image side, is a concave aspheric surface. 
     The second lens  220  has negative refractive power and is made of plastic. An object-side surface  222  thereof, which faces the object side, is a convex aspheric surface, and an image-side surface  224  thereof, which faces the image side, is a concave aspheric surface. The object-side surface  222  has an inflection point, and the image-side surface  224  has two inflection points. 
     The third lens  230  has positive refractive power and is made of plastic. An object-side surface  232 , which faces the object side, is a concave aspheric surface, and an image-side surface  234 , which faces the image side, is a convex aspheric surface. The object-side surface  232  and the image-side surface  234  both have an inflection point. 
     The fourth lens  240  has positive refractive power and is made of plastic. An object-side surface  242 , which faces the object side, is a convex aspheric surface, and an image-side surface  244 , which faces the image side, is a convex aspheric surface. The object-side surface  242  and the image-side surface  244  both have an inflection point. 
     The fifth lens  250  has negative refractive power and is made of plastic. An object-side surface  252 , which faces the object side, is a concave aspheric surface, and an image-side surface  254 , which faces the image side, is a convex aspheric surface. The image-side surface  254  has an inflection point. 
     The sixth lens  260  has positive refractive power and is made of plastic. An object-side surface  262 , which faces the object side, is a convex aspheric surface, and an image-side surface  264 , which faces the image side, is a convex aspheric surface. The object-side surface  262  has an inflection point, and the image-side surface  264  has two inflection points. Whereby, incident angle of each field of view for the sixth lens can be effectively adjusted to improve aberration. 
     The seventh lens  270  has negative refractive power and is made of plastic. An object-side surface  272 , which faces the object side, is a concave surface, and an image-side surface  274 , which faces the image side, is a concave surface. It may help to shorten the back focal length to keep small in size. In addition, for the seventh lens  270 , the object-side surface  272  has two inflection points, and the image-side surface  274  has an inflection point, which may reduce an incident angle of the light of an off-axis field of view and correct the aberration of the off-axis field of view. 
     The infrared rays filter  280  is made of glass and between the seventh lens  270  and the image plane  290 . The infrared rays filter  280  gives no contribution to the focal length of the system. 
     In the second embodiment, the optical image capturing system of the second embodiment further satisfies ΣPP=112.6399 mm; and f1/ΣPP=0.0907, where ΣPP is a sum of the focal lengths of each positive lens. It is helpful to share the positive refractive power of one single lens to other positive lenses to avoid the significant aberration caused by the incident rays. 
     The optical image capturing system of the second embodiment further satisfies ΣNP=−58.9049 mm; and f7/ΣNP=0.1182, where ΣNP is a sum of the focal lengths of each negative lens. It is helpful to share the negative refractive power of one single lens to other negative lenses. 
     The parameters of the lenses of the second embodiment are listed in Table 3 and Table 4. 
     
       
         
           
               
             
               
                 TABLE 3 
               
             
            
               
                   
               
               
                 f = 7.3981 mm; f/HEP = 1.4; HAF = 37.5 deg 
               
            
           
           
               
               
               
               
               
               
               
            
               
                   
                   
                   
                   
                   
                   
                 Focal 
               
               
                   
                 Radius of curvature 
                 Thickness 
                   
                 Refractive 
                 Abbe 
                 length 
               
               
                 Surface 
                 (mm) 
                 (mm) 
                 Material 
                 index 
                 number 
                 (mm) 
               
               
                   
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                 0 
                 Object 
                 plane 
                 infinity 
                   
                   
                   
                   
               
               
                 1 
                 1 st  lens 
                 4.540107024 
                 1.702 
                 plastic 
                 1.565 
                 58.00 
                 10.221 
               
               
                 2 
                   
                 18.14724612 
                 0.208 
               
               
                 3 
                 Aperture 
                 plane 
                 0.165 
               
               
                 4 
                 2 nd  lens 
                 3.639282865 
                 0.300 
                 plastic 
                 1.650 
                 21.40 
                 −28.437 
               
               
                 5 
                   
                 2.945398119 
                 0.519 
               
               
                 6 
                 3 rd  lens 
                 −32.97337991 
                 1.172 
                 plastic 
                 1.565 
                 58.00 
                 14.202 
               
               
                 7 
                   
                 −6.553207522 
                 0.244 
               
               
                 8 
                 4 th  lens 
                 11.83806932 
                 0.478 
                 plastic 
                 1.607 
                 26.60 
                 81.729 
               
               
                 9 
                   
                 15.27791187 
                 1.363 
               
               
                 10 
                 5 th  lens 
                 −1.539619547 
                 0.662 
                 plastic 
                 1.650 
                 21.40 
                 −23.505 
               
               
                 11 
                   
                 −2.001908277 
                 0.050 
               
               
                 12 
                 6 th  lens 
                 4.851764306 
                 1.300 
                 plastic 
                 1.607 
                 26.60 
                 6.488 
               
               
                 13 
                   
                 −19.48629895 
                 0.768 
               
               
                 14 
                 7 th  lens 
                 −7.112479218 
                 0.581 
                 plastic 
                 1.650 
                 21.40 
                 −6.963 
               
               
                 15 
                   
                 13.14911542 
                 1.000 
               
               
                 16 
                 Infrared 
                 plane 
                 0.300 
                 BK_7 
                 1.517 
                 64.2 
               
               
                   
                 rays 
               
               
                   
                 filter 
               
               
                 17 
                   
                 plane 
                 0.044 
               
               
                 18 
                 Image 
                 plane 
                 0.095 
               
               
                   
                 plane 
               
               
                   
               
               
                 Reference wavelength (d-line): 555 nm. 
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 4 
               
               
                   
               
               
                 Coefficients of the aspheric surfaces 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
            
               
                   
                 Surface 
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                   
                 1 
                 2 
                 4 
                 5 
                 6 
                 7 
                 8 
               
               
                   
               
               
                 k 
                 −4.875568E+00 
                 −5.000000E+01 
                 −1.676073E+01 
                 −4.680304E+00 
                 5.000000E+01 
                 3.721744E+00 
                 −5.000000E+01 
               
               
                 A4 
                 7.344150E−03 
                 −3.973450E−03 
                 2.662221E−03 
                 −1.308314E−02 
                 4.964298E−05 
                 −8.260152E−03 
                 −1.095602E−02 
               
               
                 A6 
                 −7.459683E−04 
                 1.760892E−03 
                 −1.131725E−02 
                 1.646226E−03 
                 5.872398E−04 
                 7.786565E−05 
                 −3.039081E−03 
               
               
                 A8 
                 2.242006E−04 
                 −1.686811E−04 
                 5.584613E−03 
                 −8.461823E−06 
                 −2.155411E−04 
                 6.502447E−04 
                 1.162066E−03 
               
               
                 A10 
                 −4.894969E−05 
                 −6.697240E−05 
                 −1.702728E−03 
                 −8.784909E−05 
                 5.116732E−05 
                 −2.619295E−04 
                 −3.599534E−04 
               
               
                 A12 
                 6.784149E−06 
                 2.498565E−05 
                 3.110902E−04 
                 1.922030E−05 
                 −1.669358E−05 
                 4.823445E−05 
                 5.939494E−05 
               
               
                 A14 
                 −4.968050E−07 
                 −3.231451E−06 
                 −3.133806E−05 
                 −2.039078E−06 
                 2.690957E−06 
                 −4.389645E−06 
                 −4.564835E−06 
               
               
                 A16 
                 1.531497E−08 
                 1.511465E−07 
                 1.312517E−06 
                 9.781704E−08 
                 −1.356427E−07 
                 1.687907E−07 
                 1.081353E−07 
               
               
                   
               
            
           
           
               
               
            
               
                   
                 Surface 
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                   
                 9 
                 10 
                 11 
                 12 
                 13 
                 14 
                 15 
               
               
                   
               
               
                 k 
                 −2.147168E+00 
                 −1.417610E+00 
                 −8.098865E−01 
                 −1.349690E+00 
                 1.523105E+01 
                 −1.420397E−01 
                 −4.247552E+00 
               
               
                 A4 
                 −2.757887E−03 
                 4.473058E−02 
                 3.215721E−02 
                 −1.633779E−02 
                 −7.157361E−03 
                 −4.765358E−03 
                 −4.148944E−03 
               
               
                 A6 
                 −3.779966E−03 
                 −1.811946E−02 
                 −9.953447E−03 
                 2.870284E−03 
                 2.430960E−03 
                 1.500432E−03 
                 4.018766E−04 
               
               
                 A8 
                 1.179723E−03 
                 4.871273E−03 
                 2.395917E−03 
                 −4.751890E−04 
                 −3.351483E−04 
                 −1.853896E−04 
                 −3.441282E−05 
               
               
                 A10 
                 −2.725621E−04 
                 −8.658927E−04 
                 −3.804019E−04 
                 4.734240E−05 
                 2.166505E−05 
                 1.332742E−05 
                 1.756637E−06 
               
               
                 A12 
                 3.800871E−05 
                 9.274320E−05 
                 3.621653E−05 
                 −3.299378E−06 
                 −7.320811E−07 
                 −5.535770E−07 
                 −5.226930E−08 
               
               
                 A14 
                 −2.865640E−06 
                 −5.422388E−06 
                 −1.817585E−06 
                 1.287761E−07 
                 1.263598E−08 
                 1.204853E−08 
                 8.341542E−10 
               
               
                 A16 
                 8.462583E−08 
                 1.338454E−07 
                 3.786058E−08 
                 −2.240515E−09 
                 −8.270280E−11 
                 −1.054114E−10 
                 −5.747740E−12 
               
               
                   
               
            
           
         
       
     
     An equation of the aspheric surfaces of the second embodiment is the same as that of the first embodiment, and the definitions are the same as well. 
     The exact parameters of the second embodiment based on Table 3 and Table 4 are listed in the following table: 
     
       
         
           
               
             
               
                   
               
               
                 Second embodiment (Reference wavelength: 555 nm) 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 |f/f1| 
                 |f/f2| 
                 |f/f3| 
                 |f/f4| 
                 |f/f5| 
                 |f/f6| 
               
               
                   
               
               
                 0.7238 
                 0.2602 
                 0.5209 
                 0.0905 
                 0.3147 
                 1.1403 
               
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 |f/f7| 
                 ΣPPR 
                 ΣNPR 
                 ΣPPR/|ΣNPR| 
                 IN12/f 
                 IN67/f 
               
               
                   
               
               
                 0.9446 
                 2.1860 
                 1.1194 
                 1.9528 
                 0.0184 
                 0.0589 
               
               
                   
               
            
           
           
               
               
               
               
            
               
                 |f1/f2| 
                 |f2/f3| 
                 (TP1 + IN12)/TP2 
                 (TP7 + IN67)/TP6 
               
               
                   
               
               
                 0.1445 
                 1.9707 
                 3.8697 
                 0.9631 
               
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 HOS 
                 InTL 
                 HOS/HOI 
                 InS/HOS 
                 ODT % 
                 TDT % 
               
               
                   
               
               
                 10.9531 
                 9.5145 
                 1.4604 
                 0.8256 
                 28.8819 
                 30.9635 
               
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 HVT11 
                 HVT12 
                 HVT21 
                 HVT22 
                 HVT31 
                 HVT32 
               
               
                   
               
               
                 0.0000 
                 0.0000 
                 1.7733 
                 2.3058 
                 2.5321 
                 0.0000 
               
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 HVT61 
                 HVT62 
                 HVT71 
                 HVT72 
                 HVT72/HOI 
                 HVT72/HOS 
               
               
                   
               
               
                 2.3739 
                 0.0000 
                 0.0000 
                 2.9885 
                 0.3985 
                 0.2728 
               
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 PSTA 
                 PLTA 
                 NSTA 
                 NLTA 
                 SSTA 
                 SLTA 
               
               
                   
               
               
                 0.009 
                 −0.003 
                 −0.00002 mm 
                 −0.003 mm 
                 0.021 mm 
                 0.002 mm 
               
               
                 mm 
                 mm 
               
               
                   
               
            
           
         
       
     
     The figures related to the profile curve lengths obtained based on Table 3 and Table 4 are listed in the following table: 
     
       
         
           
               
             
               
                   
               
               
                 Second embodiment (Reference wavelength: 555 nm) 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
               
            
               
                   
                   
                   
                 ARE − 
                 2(ARE/HEP) 
                   
                   
               
               
                 ARE 
                 ½(HEP) 
                 ARE value 
                 ½(HEP) 
                 % 
                 TP 
                 ARE/TP (%) 
               
               
                   
               
               
                 11 
                 2.642 
                 2.849 
                 0.207 
                 107.83% 
                 1.702 
                 167.37% 
               
               
                 12 
                 2.487 
                 2.493 
                 0.006 
                 100.25% 
                 1.702 
                 146.46% 
               
               
                 21 
                 2.400 
                 2.432 
                 0.032 
                 101.35% 
                 0.300 
                 810.73% 
               
               
                 22 
                 2.621 
                 2.661 
                 0.040 
                 101.53% 
                 0.300 
                 886.90% 
               
               
                 31 
                 2.642 
                 2.646 
                 0.004 
                 100.14% 
                 1.172 
                 225.73% 
               
               
                 32 
                 2.642 
                 2.864 
                 0.222 
                 108.40% 
                 1.172 
                 244.36% 
               
               
                 41 
                 2.642 
                 2.945 
                 0.303 
                 111.46% 
                 0.478 
                 616.03% 
               
               
                 42 
                 2.642 
                 2.736 
                 0.094 
                 103.56% 
                 0.478 
                 572.38% 
               
               
                 51 
                 2.642 
                 3.092 
                 0.450 
                 117.02% 
                 0.662 
                 466.83% 
               
               
                 52 
                 2.642 
                 3.074 
                 0.432 
                 116.34% 
                 0.662 
                 464.13% 
               
               
                 61 
                 2.642 
                 2.661 
                 0.019 
                 100.72% 
                 1.300 
                 204.66% 
               
               
                 62 
                 2.642 
                 2.655 
                 0.013 
                 100.49% 
                 1.300 
                 204.20% 
               
               
                 71 
                 2.642 
                 2.703 
                 0.060 
                 102.29% 
                 0.581 
                 464.98% 
               
               
                 72 
                 2.642 
                 2.646 
                 0.004 
                 100.14% 
                 0.581 
                 455.21% 
               
               
                   
               
               
                 ARS 
                 EHD 
                 ARS value 
                 ARS − EHD 
                 (ARS/EHD) % 
                 TP 
                 ARS/TP (%) 
               
               
                   
               
               
                 11 
                 3.018 
                 3.389 
                 0.371 
                 112.30% 
                 1.702 
                 199.08% 
               
               
                 12 
                 2.487 
                 2.493 
                 0.006 
                 100.25% 
                 1.702 
                 146.46% 
               
               
                 21 
                 2.400 
                 2.432 
                 0.032 
                 101.35% 
                 0.300 
                 810.73% 
               
               
                 22 
                 2.621 
                 2.661 
                 0.040 
                 101.53% 
                 0.300 
                 886.90% 
               
               
                 31 
                 2.648 
                 2.652 
                 0.004 
                 100.14% 
                 1.172 
                 226.24% 
               
               
                 32 
                 2.726 
                 2.970 
                 0.245 
                 108.99% 
                 1.172 
                 253.42% 
               
               
                 41 
                 2.724 
                 3.136 
                 0.412 
                 115.14% 
                 0.478 
                 656.06% 
               
               
                 42 
                 3.022 
                 3.457 
                 0.436 
                 114.42% 
                 0.478 
                 723.22% 
               
               
                 51 
                 3.008 
                 3.640 
                 0.633 
                 121.03% 
                 0.662 
                 549.63% 
               
               
                 52 
                 3.251 
                 3.873 
                 0.623 
                 119.15% 
                 0.662 
                 584.80% 
               
               
                 61 
                 3.673 
                 4.421 
                 0.748 
                 120.37% 
                 1.300 
                 340.01% 
               
               
                 62 
                 4.697 
                 5.031 
                 0.334 
                 107.12% 
                 1.300 
                 386.92% 
               
               
                 71 
                 5.404 
                 5.745 
                 0.341 
                 106.31% 
                 0.581 
                 988.40% 
               
               
                 72 
                 6.035 
                 6.897 
                 0.862 
                 114.29% 
                 0.581 
                 1186.61%  
               
               
                   
               
            
           
         
       
     
     The results of the equations of the second embodiment based on Table 3 and Table 4 are listed in the following table: 
     
       
         
           
               
             
               
                   
               
               
                 Values related to the inflection points of the second embodiment 
               
               
                 (Reference wavelength: 555 nm) 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                 HIF211 
                 0.9366 
                 HIF211/HOI 
                 0.1249 
                 SGI211 
                 0.0962 
                 |SGI211|/(|SGI211| + TP2) 
                 0.2427 
               
               
                 HIF221 
                 1.2605 
                 HIF221/HOI 
                 0.1681 
                 SGI221 
                 0.2081 
                 |SGI221|/(|SGI221| + TP2) 
                 0.4095 
               
               
                 HIF222 
                 2.5812 
                 HIF222/HOI 
                 0.3442 
                 SGI222 
                 0.3740 
                 |SGI222|/(|SGI222| + TP2) 
                 0.5549 
               
               
                 HIF311 
                 2.2429 
                 HIF311/HOI 
                 0.2990 
                 SGI311 
                 −0.0854 
                 |SGI311|/(|SGI311| + TP3) 
                 0.0679 
               
               
                 HIF321 
                 2.5873 
                 HIF321/HOI 
                 0.3450 
                 SGI321 
                 −0.8600 
                 |SGI321|/(|SGI321| + TP3) 
                 0.4232 
               
               
                 HIF411 
                 0.6530 
                 HIF411/HOI 
                 0.0871 
                 SGI411 
                 0.0152 
                 |SGI411|/(|SGI411| + TP4) 
                 0.0308 
               
               
                 HIF421 
                 0.8553 
                 HIF421/HOI 
                 0.1140 
                 SGI421 
                 0.0213 
                 |SGI421|/(|SGI421| + TP4) 
                 0.0426 
               
               
                 HIF521 
                 2.6973 
                 HIF521/HOI 
                 0.3596 
                 SGI521 
                 −1.4739 
                 |SGI521|/(|SGI521| + TP5) 
                 0.6900 
               
               
                 HIF611 
                 1.3749 
                 HIF611/HOI 
                 0.1833 
                 SGI611 
                 0.1494 
                 |SGI611|/(|SGI611| + TP6) 
                 0.1031 
               
               
                 HIF621 
                 4.0917 
                 HIF621/HOI 
                 0.5456 
                 SGI621 
                 −0.9661 
                 |SGI621|/(|SGI621| + TP6) 
                 0.4263 
               
               
                 HIF622 
                 4.6912 
                 HIF622/HOI 
                 0.6255 
                 SGI622 
                 −1.3669 
                 |SGI622|/(|SGI622| + TP6) 
                 0.5125 
               
               
                 HIF711 
                 4.9710 
                 HIF711/HOI 
                 0.6628 
                 SGI711 
                 −1.4770 
                 |SGI711|/(|SGI711| + TP7) 
                 0.7176 
               
               
                 HIF712 
                 5.4045 
                 HIF712/HOI 
                 0.7206 
                 SGI712 
                 −1.7430 
                 |SGI712|/(|SGI712| + TP7) 
                 0.7499 
               
               
                 HIF721 
                 1.5362 
                 HIF721/HOI 
                 0.2048 
                 SGI721 
                 0.0700 
                 |SGI721|/(|SGI721| + TP7) 
                 0.1075 
               
               
                   
               
            
           
         
       
     
     Third Embodiment 
     As shown in  FIG. 3A  and  FIG. 3B , an optical image capturing system of the third embodiment of the present invention includes, along an optical axis from an object side to an image side, a first lens  310 , an aperture  300 , a second lens  320 , a third lens  330 , a fourth lens  340 , a fifth lens  350 , a sixth lens  360 , a seventh lens  370 , an infrared rays filter  380 , an image plane  390 , and an image sensor  392 .  FIG. 3C  is a transverse aberration diagram at 0.7 field of view of the third embodiment of the present application. 
     The first lens  310  has positive refractive power and is made of plastic. An object-side surface  312  thereof, which faces the object side, is a convex aspheric surface, and an image-side surface  314  thereof, which faces the image side, is a concave aspheric surface. 
     The second lens  320  has negative refractive power and is made of plastic. An object-side surface  322  thereof, which faces the object side, is a convex aspheric surface, and an image-side surface  324  thereof, which faces the image side, is a concave aspheric surface. The object-side surface  322  has an inflection point. 
     The third lens  330  has positive refractive power and is made of plastic. An object-side surface  332  thereof, which faces the object side, is a concave aspheric surface, and an image-side surface  334  thereof, which faces the image side, is a convex aspheric surface. 
     The fourth lens  340  has positive refractive power and is made of plastic. An object-side surface  342 , which faces the object side, is a convex aspheric surface, and an image-side surface  344 , which faces the image side, is a concave aspheric surface. The object-side surface  342  and the image-side surface  344  both have an inflection point. 
     The fifth lens  350  has negative refractive power and is made of plastic. An object-side surface  352 , which faces the object side, is a concave aspheric surface, and an image-side surface  354 , which faces the image side, is a convex aspheric surface The object-side surface  352  has two inflection points, and the image-side surface  354  has an inflection point. 
     The sixth lens  360  has positive refractive power and is made of plastic. An object-side surface  362 , which faces the object side, is a convex surface, and an image-side surface  364 , which faces the image side, is a convex surface. The object-side surface  362  has an inflection point, and the image-side surface  364  has four inflection points. Whereby, incident angle of each field of view for the sixth lens can be effectively adjusted to improve aberration. 
     The seventh lens  370  has negative refractive power and is made of plastic. An object-side surface  372 , which faces the object side, is a concave surface, and an image-side surface  374 , which faces the image side, is a concave surface. It may help to shorten the back focal length to keep small in size. In addition, the object-side surface  372  has two inflection points, and the image-side surface  374  has an inflection point, which may reduce an incident angle of the light of an off-axis field of view and correct the aberration of the off-axis field of view. 
     The infrared rays filter  380  is made of glass and between the seventh lens  370  and the image plane  390 . The infrared rays filter  390  gives no contribution to the focal length of the system. 
     In the third embodiment, the optical image capturing system of the third embodiment further satisfies ΣPP=78.5104 mm; and f1/ΣPP=0.1151, where ΣPP is a sum of the focal lengths of each positive lens. It is helpful to share the positive refractive power of one single lens to other positive lenses to avoid the significant aberration caused by the incident rays. 
     The optical image capturing system of the third embodiment further satisfies ΣNP=−45.7313 mm; and f7/ΣNP=0.1319, where ΣNP is a sum of the focal lengths of each negative lens. It is helpful to share the negative refractive power of the sixth lens  360  to other negative lenses. 
     The parameters of the lenses of the third embodiment are listed in Table 5 and Table 6. 
     
       
         
           
               
             
               
                 TABLE 5 
               
             
            
               
                   
               
               
                 f = 9.5618 mm; f/HEP = 2.4; HAF = 37.5 deg 
               
            
           
           
               
               
               
               
               
               
               
            
               
                   
                   
                   
                   
                   
                   
                 Focal 
               
               
                   
                 Radius of curvature 
                 Thickness 
                   
                 Refractive 
                 Abbe 
                 length 
               
               
                 Surface 
                 (mm) 
                 (mm) 
                 Material 
                 index 
                 number 
                 (mm) 
               
               
                   
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                 0 
                 Object 
                 plane 
                 infinity 
                   
                   
                   
                   
               
               
                 1 
                 1 st  lens 
                 4.458622634 
                 0.877 
                 plastic 
                 1.565 
                 58.00 
                 9.039 
               
               
                 2 
                   
                 31.92259502 
                 0.132 
               
               
                 3 
                 Aperture 
                 plane 
                 0.486 
               
               
                 4 
                 2 nd  lens 
                 6.321588325 
                 0.319 
                 plastic 
                 1.650 
                 21.40 
                 −19.494 
               
               
                 5 
                   
                 4.144642961 
                 0.676 
               
               
                 6 
                 3 rd  lens 
                 −20.59925719 
                 1.649 
                 plastic 
                 1.565 
                 58.00 
                 27.476 
               
               
                 7 
                   
                 −9.125206377 
                 0.182 
               
               
                 8 
                 4 th  lens 
                 10.94722522 
                 0.393 
                 plastic 
                 1.565 
                 58.00 
                 33.702 
               
               
                 9 
                   
                 25.31040695 
                 1.394 
               
               
                 10 
                 5 th  lens 
                 −2.265382263 
                 0.494 
                 plastic 
                 1.650 
                 21.40 
                 −20.204 
               
               
                 11 
                   
                 −2.968628844 
                 0.057 
               
               
                 12 
                 6 th  lens 
                 6.501396026 
                 1.324 
                 plastic 
                 1.583 
                 30.20 
                 8.293 
               
               
                 13 
                   
                 −17.85062529 
                 0.997 
               
               
                 14 
                 7 th  lens 
                 −5.581859792 
                 1.393 
                 plastic 
                 1.583 
                 30.20 
                 −6.034 
               
               
                 15 
                   
                 10.55945401 
                 1.000 
               
               
                 16 
                 Infrared 
                 plane 
                 0.300 
                 BK_7 
                 1.517 
                 64.2 
               
               
                   
                 rays 
               
               
                   
                 filter 
               
               
                 17 
                   
                 plane 
                 0.423 
               
               
                 18 
                 Image 
                 plane 
                 0.032 
               
               
                   
                 plane 
               
               
                   
               
               
                 Reference wavelength (d-line): 555 nm. 
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 6 
               
               
                   
               
               
                 Coefficients of the aspheric surfaces 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
            
               
                   
                 Surface 
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                   
                 1 
                 2 
                 4 
                 5 
                 6 
                 7 
                 8 
               
               
                   
               
               
                 k 
                 −6.769918E+00 
                 −6.188364E+00 
                 −5.000000E+01 
                 −4.610981E+00 
                 3.619848E+01 
                 7.237748E+00 
                 −6.435971E+00 
               
               
                 A4 
                 9.837048E−03 
                 −2.042280E−03 
                 2.517370E−03 
                 −1.235437E−02 
                 −1.138829E−03 
                 −4.713368E−03 
                 −5.984906E−03 
               
               
                 A6 
                 −1.028091E−03 
                 5.748931E−04 
                 −8.151008E−03 
                 2.639372E−03 
                 −3.002219E−04 
                 −8.957672E−04 
                 −2.516480E−03 
               
               
                 A8 
                 1.947168E−04 
                 −4.338855E−05 
                 4.869132E−03 
                 −7.497695E−05 
                 −2.687398E−04 
                 7.039258E−04 
                 1.292396E−03 
               
               
                 A10 
                 −3.693735E−05 
                 −3.916043E−05 
                 −1.644482E−03 
                 −8.622551E−05 
                 1.058477E−04 
                 −2.523668E−04 
                 −3.632848E−04 
               
               
                 A12 
                 7.032633E−06 
                 2.055394E−05 
                 3.290150E−04 
                 1.925433E−05 
                 −1.927678E−05 
                 4.735523E−05 
                 5.736779E−05 
               
               
                 A14 
                 −8.140090E−07 
                 −4.306716E−06 
                 −3.573085E−05 
                 −1.506259E−06 
                 3.547277E−07 
                 −4.606171E−06 
                 −4.642640E−06 
               
               
                 A16 
                 3.109772E−08 
                 3.274301E−07 
                 1.573251E−06 
                 1.805685E−08 
                 1.612013E−07 
                 1.832176E−07 
                 1.469521E−07 
               
               
                   
               
            
           
           
               
               
            
               
                   
                 Surface 
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                   
                 9 
                 10 
                 11 
                 12 
                 13 
                 14 
                 15 
               
               
                   
               
               
                 k 
                 −5.000000E+01 
                 −1.126207E+00 
                 −6.621843E−01 
                 −8.901952E+00 
                 1.137843E+01 
                 −5.654885E−02 
                 −6.181232E−01 
               
               
                 A4 
                 −9.357064E−04 
                 4.514442E−02 
                 2.856261E−02 
                 −1.273411E−02 
                 −6.416628E−03 
                 −5.280222E−03 
                 −5.381431E−03 
               
               
                 A6 
                 −3.040558E−03 
                 −1.809690E−02 
                 −1.009240E−02 
                 3.050361E−03 
                 2.448657E−03 
                 1.523583E−03 
                 4.360113E−04 
               
               
                 A8 
                 1.151924E−03 
                 4.843654E−03 
                 2.419435E−03 
                 −5.107229E−04 
                 −3.344984E−04 
                 −1.838859E−04 
                 −3.472939E−05 
               
               
                 A10 
                 −2.760117E−04 
                 −8.632331E−04 
                 −3.794917E−04 
                 4.934688E−05 
                 2.168603E−05 
                 1.337660E−05 
                 1.755233E−06 
               
               
                 A12 
                 3.872468E−05 
                 9.340766E−05 
                 3.615582E−05 
                 −3.223107E−06 
                 −7.308963E−07 
                 −5.527811E−07 
                 −5.233690E−08 
               
               
                 A14 
                 −2.791092E−06 
                 −5.377363E−06 
                 −1.828714E−06 
                 1.292612E−07 
                 1.260641E−08 
                 1.203841E−08 
                 8.353595E−10 
               
               
                 A16 
                 7.822557E−08 
                 1.250015E−07 
                 3.741685E−08 
                 −2.293268E−09 
                 −9.118725E−11 
                 −1.078366E−10 
                 −5.527053E−12 
               
               
                   
               
            
           
         
       
     
     An equation of the aspheric surfaces of the third embodiment is the same as that of the first embodiment, and the definitions are the same as well. 
     The exact parameters of the third embodiment based on Table 5 and Table 6 are listed in the following table: 
     
       
         
           
               
             
               
                   
               
               
                 Third embodiment (Reference wavelength: 555 nm) 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 |f/f1| 
                 |f/f2| 
                 |f/f3| 
                 |f/f4| 
                 |f/f5| 
                 |f/f6| 
               
               
                   
               
               
                 1.0578 
                 0.4905 
                 0.3480 
                 0.2837 
                 0.4733 
                 1.1531 
               
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 |f/f7| 
                 ΣPPR 
                 ΣNPR 
                 ΣPPR/|ΣNPR| 
                 IN12/f 
                 IN67/f 
               
               
                   
               
               
                 1.5847 
                 2.8426 
                 2.5485 
                 1.1154 
                 0.0647 
                 0.1043 
               
               
                   
               
            
           
           
               
               
               
               
            
               
                 |f1/f2| 
                 |f2/f3| 
                 (TP1 + IN12)/TP2 
                 (TP7 + IN67)/TP6 
               
               
                   
               
               
                 0.4637 
                 0.7095 
                 4.6868 
                 1.8055 
               
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 HOS 
                 InTL 
                 HOS/HOI 
                 InS/HOS 
                 ODT % 
                 TDT % 
               
               
                   
               
               
                 12.1287 
                 10.3731 
                 1.6172 
                 0.9168 
                 1.9999 
                 1.0913 
               
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 HVT11 
                 HVT12 
                 HVT21 
                 HVT22 
                 HVT31 
                 HVT32 
               
               
                   
               
               
                 0.0000 
                 0.0000 
                 0.0000 
                 0.0000 
                 0.0000 
                 0.0000 
               
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 HVT61 
                 HVT62 
                 HVT71 
                 HVT72 
                 HVT72/HOI 
                 HVT72/HOS 
               
               
                   
               
               
                 2.3701 
                 0.0000 
                 0.0000 
                 2.9021 
                 0.3870 
                 0.2393 
               
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 PSTA 
                 PLTA 
                 NSTA 
                 NLTA 
                 SSTA 
                 SLTA 
               
               
                   
               
               
                 0.009 mm 
                 0.001 mm 
                 0.003 mm 
                 −0.001 mm 
                 0.005 mm 
                 0.001 mm 
               
               
                   
               
            
           
         
       
     
     The figures related to the profile curve lengths obtained based on Table 5 and Table 6 are listed in the following table: 
     
       
         
           
               
             
               
                   
               
               
                 Third embodiment (Reference wavelength: 555 nm) 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
               
            
               
                   
                   
                   
                 ARE − 
                 2(ARE/HEP) 
                   
                   
               
               
                 ARE 
                 ½(HEP) 
                 ARE value 
                 ½(HEP) 
                 % 
                 TP 
                 ARE/TP (%) 
               
               
                   
               
               
                 11 
                 1.992 
                 2.069 
                 0.077 
                 103.86% 
                 0.877 
                 235.96% 
               
               
                 12 
                 1.992 
                 1.993 
                 0.001 
                 100.04% 
                 0.877 
                 227.27% 
               
               
                 21 
                 1.992 
                 1.997 
                 0.005 
                 100.24% 
                 0.319 
                 625.83% 
               
               
                 22 
                 1.992 
                 2.024 
                 0.032 
                 101.58% 
                 0.319 
                 634.20% 
               
               
                 31 
                 1.992 
                 2.004 
                 0.012 
                 100.61% 
                 1.649 
                 121.58% 
               
               
                 32 
                 1.992 
                 2.032 
                 0.040 
                 102.01% 
                 1.649 
                 123.26% 
               
               
                 41 
                 1.992 
                 1.994 
                 0.002 
                 100.09% 
                 0.393 
                 507.15% 
               
               
                 42 
                 1.992 
                 1.993 
                 0.001 
                 100.05% 
                 0.393 
                 506.96% 
               
               
                 51 
                 1.992 
                 2.112 
                 0.120 
                 106.01% 
                 0.494 
                 427.88% 
               
               
                 52 
                 1.992 
                 2.080 
                 0.088 
                 104.44% 
                 0.494 
                 421.54% 
               
               
                 61 
                 1.992 
                 2.000 
                 0.008 
                 100.38% 
                 1.324 
                 151.04% 
               
               
                 62 
                 1.992 
                 1.997 
                 0.005 
                 100.27% 
                 1.324 
                 150.87% 
               
               
                 71 
                 1.992 
                 2.042 
                 0.050 
                 102.52% 
                 1.393 
                 146.58% 
               
               
                 72 
                 1.992 
                 1.997 
                 0.004 
                 100.22% 
                 1.393 
                 143.29% 
               
               
                   
               
               
                 ARS 
                 EHD 
                 ARS value 
                 ARS − EHD 
                 (ARS/EHD) % 
                 TP 
                 ARS/TP (%) 
               
               
                   
               
               
                 11 
                 2.251 
                 2.367 
                 0.116 
                 105.16% 
                 0.877 
                 270.00% 
               
               
                 12 
                 2.036 
                 2.036 
                 0.000 
                 100.01% 
                 0.877 
                 232.18% 
               
               
                 21 
                 2.086 
                 2.091 
                 0.005 
                 100.22% 
                 0.319 
                 655.30% 
               
               
                 22 
                 2.192 
                 2.230 
                 0.038 
                 101.75% 
                 0.319 
                 699.02% 
               
               
                 31 
                 2.222 
                 2.247 
                 0.025 
                 101.14% 
                 1.649 
                 136.31% 
               
               
                 32 
                 2.762 
                 2.974 
                 0.212 
                 107.66% 
                 1.649 
                 180.38% 
               
               
                 41 
                 2.998 
                 3.079 
                 0.081 
                 102.70% 
                 0.393 
                 783.08% 
               
               
                 42 
                 3.150 
                 3.237 
                 0.086 
                 102.74% 
                 0.393 
                 823.31% 
               
               
                 51 
                 3.247 
                 3.625 
                 0.378 
                 111.65% 
                 0.494 
                 734.42% 
               
               
                 52 
                 3.509 
                 3.836 
                 0.327 
                 109.32% 
                 0.494 
                 777.30% 
               
               
                 61 
                 3.938 
                 4.323 
                 0.385 
                 109.77% 
                 1.324 
                 326.55% 
               
               
                 62 
                 4.884 
                 5.087 
                 0.203 
                 104.16% 
                 1.324 
                 384.25% 
               
               
                 71 
                 5.207 
                 5.533 
                 0.326 
                 106.26% 
                 1.393 
                 397.08% 
               
               
                 72 
                 6.358 
                 7.077 
                 0.719 
                 111.30% 
                 1.393 
                 507.94% 
               
               
                   
               
            
           
         
       
     
     The results of the equations of the third embodiment based on Table 5 and Table 6 are listed in the following table: 
     
       
         
           
               
             
               
                   
               
               
                 Values related to the inflection points of the third embodiment 
               
               
                 (Reference wavelength: 555 nm) 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                 HIF211 
                 0.9746 
                 HIF211/HOI 
                 0.1299 
                 SGI211 
                 0.0590 
                 |SGI211|/(|SGI211| + TP2) 
                 0.1560 
               
               
                 HIF411 
                 0.9274 
                 HIF411/HOI 
                 0.1237 
                 SGI411 
                 0.0334 
                 |SGI411|/(|SGI411| + TP4) 
                 0.0784 
               
               
                 HIF421 
                 0.8439 
                 HIF421/HOI 
                 0.1125 
                 SGI421 
                 0.0126 
                 |SGI421|/(|SGI421| + TP4) 
                 0.0310 
               
               
                 HIF511 
                 2.5530 
                 HIF511/HOI 
                 0.3404 
                 SGI511 
                 −1.0094 
                 |SGI511|/(|SGI511| + TP5) 
                 0.6716 
               
               
                 HIF512 
                 3.0072 
                 HIF512/HOI 
                 0.4010 
                 SGI512 
                 −1.3198 
                 |SGI512|/(|SGI512| + TP5) 
                 0.7278 
               
               
                 HIF521 
                 2.6861 
                 HIF521/HOI 
                 0.3581 
                 SGI521 
                 −0.9666 
                 |SGI521|/(|SGI521| + TP5) 
                 0.6620 
               
               
                 HIF611 
                 1.2794 
                 HIF611/HOI 
                 0.1706 
                 SGI611 
                 0.0936 
                 |SGI611|/(|SGI611| + TP6) 
                 0.0660 
               
               
                 HIF621 
                 1.8102 
                 HIF621/HOI 
                 0.2414 
                 SGI621 
                 −0.1089 
                 |SGI621|/(|SGI621| + TP6) 
                 0.0760 
               
               
                 HIF622 
                 2.1205 
                 HIF622/HOI 
                 0.2827 
                 SGI622 
                 −0.1416 
                 |SGI622|/(|SGI622| + TP6) 
                 0.0966 
               
               
                 HIF623 
                 4.0505 
                 HIF623/HOI 
                 0.5401 
                 SGI623 
                 −0.6438 
                 |SGI623|/(|SGI623| + TP6) 
                 0.3272 
               
               
                 HIF624 
                 4.3558 
                 HIF624/HOI 
                 0.5808 
                 SGI624 
                 −0.7849 
                 |SGI624|/(|SGI624| + TP6) 
                 0.3722 
               
               
                 HIF711 
                 3.1387 
                 HIF711/HOI 
                 0.4185 
                 SGI711 
                 −0.9134 
                 |SGI711|/(|SGI711| + TP7) 
                 0.3960 
               
               
                 HIF712 
                 4.6732 
                 HIF712/HOI 
                 0.6231 
                 SGI712 
                 −1.5278 
                 |SGI712|/(|SGI712| + TP7) 
                 0.5230 
               
               
                 HIF721 
                 1.4794 
                 HIF721/HOI 
                 0.1973 
                 SGI721 
                 0.0819 
                 |SGI721|/(|SGI721| + TP7) 
                 0.0555 
               
               
                   
               
            
           
         
       
     
     Fourth Embodiment 
     As shown in  FIG. 4A  and  FIG. 4B , an optical image capturing system  40  of the fourth embodiment of the present invention includes, along an optical axis from an object side to an image side, a first lens  410 , an aperture  400 , a second lens  420 , a third lens  430 , a fourth lens  440 , a fifth lens  450 , a sixth lens  460 , a seventh lens  470 , an infrared rays filter  480 , an image plane  490 , and an image sensor  492 .  FIG. 4C  is a transverse aberration diagram at 0.7 field of view of the fourth embodiment of the present application. 
     The first lens  410  has positive refractive power and is made of plastic. An object-side surface  412  thereof, which faces the object side, is a convex aspheric surface, and an image-side surface  414  thereof, which faces the image side, is a concave aspheric surface. 
     The second lens  420  has negative refractive power and is made of plastic. An object-side surface  422  thereof, which faces the object side, is a convex aspheric surface, and an image-side surface  424  thereof, which faces the image side, is a concave aspheric surface. The object-side surface  422  has an inflection point. 
     The third lens  430  has positive refractive power and is made of plastic. An object-side surface  432  thereof, which faces the object side, is a concave aspheric surface, and an image-side surface  434  thereof, which faces the image side, is a convex aspheric surface. 
     The fourth lens  440  has positive refractive power and is made of plastic. An object-side surface  442 , which faces the object side, is a concave aspheric surface, and an image-side surface  444 , which faces the image side, is a convex aspheric surface. The object-side surface  442  and the image-side surface  444  both have an inflection point. 
     The fifth lens  450  has negative refractive power and is made of plastic. An object-side surface  452 , which faces the object side, is a concave aspheric surface, and an image-side surface  454 , which faces the image side, is a convex aspheric surface. The object-side surface  452  has three inflection points, and the image-side surface  454  has an inflection point. 
     The sixth lens  460  has positive refractive power and is made of plastic. An object-side surface  462 , which faces the object side, is a convex surface, and an image-side surface  464 , which faces the image side, is a convex surface. The object-side surface  462  has an inflection point, and the object-side surface  464  has two inflection points. Whereby, incident angle of each field of view for the sixth lens can be effectively adjusted to improve aberration. 
     The seventh lens  470  has negative refractive power and is made of plastic. An object-side surface  472 , which faces the object side, is a concave surface, and an image-side surface  474 , which faces the image side, is a concave surface. It may help to shorten the back focal length to keep small in size. In addition, the object-side surface  472  has two inflection points, and the image-side surface  474  has an inflection point, which may reduce an incident angle of the light of an off-axis field of view and correct the aberration of the off-axis field of view. 
     The infrared rays filter  480  is made of glass and between the seventh lens  470  and the image plane  490 . The infrared rays filter  480  gives no contribution to the focal length of the system. 
     In the fourth embodiment, the optical image capturing system of the fourth embodiment further satisfies ΣPP=78.8784 mm; and f1/ΣPP=0.1113, where ΣPP is a sum of the focal lengths of each positive lens. It is helpful to share the positive refractive power of one single lens to other positive lenses to avoid the significant aberration caused by the incident rays. 
     The optical image capturing system of the fourth embodiment further satisfies ΣNP=−42.9439 mm; and f7/ΣNP=0.1363, where ΣNP is a sum of the focal lengths of each negative lens. It is helpful to share the negative refractive power of one single lens to other negative lenses. 
     The parameters of the lenses of the fourth embodiment are listed in Table 7 and Table 8. 
     
       
         
           
               
             
               
                 TABLE 7 
               
             
            
               
                   
               
               
                 f = 9.5666 mm; f/HEP = 2.8; HAF = 37.5 deg 
               
            
           
           
               
               
               
               
               
               
               
            
               
                   
                   
                   
                   
                   
                   
                 Focal 
               
               
                   
                 Radius of curvature 
                 Thickness 
                   
                 Refractive 
                 Abbe 
                 length 
               
               
                 Surface 
                 (mm) 
                 (mm) 
                 Material 
                 index 
                 number 
                 (mm) 
               
               
                   
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                 0 
                 Object 
                 plane 
                 infinity 
                   
                   
                   
                   
               
               
                 1 
                 1 st  lens 
                 4.788559965 
                 0.728 
                 plastic 
                 1.565 
                 58.00 
                 8.775 
               
               
                 2 
                   
                 121.5515646 
                 0.108 
               
               
                 3 
                 Aperture 
                 plane 
                 0.425 
               
               
                 4 
                 2 nd  lens 
                 6.563453471 
                 0.353 
                 plastic 
                 1.650 
                 21.40 
                 −18.156 
               
               
                 5 
                   
                 4.140212814 
                 0.686 
               
               
                 6 
                 3 rd  lens 
                 −15.64535928 
                 1.318 
                 plastic 
                 1.565 
                 58.00 
                 40.219 
               
               
                 7 
                   
                 −9.560449295 
                 0.449 
               
               
                 8 
                 4 th  lens 
                 −26.50102493 
                 0.681 
                 plastic 
                 1.565 
                 58.00 
                 21.587 
               
               
                 9 
                   
                 −8.448471717 
                 1.275 
               
               
                 10 
                 5 th  lens 
                 −2.3703115 
                 0.458 
                 plastic 
                 1.650 
                 21.40 
                 −18.933 
               
               
                 11 
                   
                 −3.154082475 
                 0.260 
               
               
                 12 
                 6 th  lens 
                 6.350358479 
                 1.224 
                 plastic 
                 1.583 
                 30.20 
                 8.297 
               
               
                 13 
                   
                 −19.33348548 
                 1.128 
               
               
                 14 
                 7 th  lens 
                 −5.556630688 
                 1.387 
                 plastic 
                 1.583 
                 30.20 
                 −5.855 
               
               
                 15 
                   
                 9.81809086 
                 1.000 
               
               
                 16 
                 Infrared 
                 plane 
                 0.300 
                 BK_7 
                 1.517 
                 64.2 
               
               
                   
                 rays 
               
               
                   
                 filter 
               
               
                 17 
                   
                 plane 
                 0.421 
               
               
                 18 
                 Image 
                 plane 
                 0.027 
               
               
                   
                 plane 
               
               
                   
               
               
                 Reference wavelength (d-line): 555 nm. 
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 8 
               
               
                   
               
               
                 Coefficients of the aspheric surfaces 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
            
               
                   
                 Surface 
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                   
                 1 
                 2 
                 4 
                 5 
                 6 
                 7 
                 8 
               
               
                   
               
               
                 k 
                 −8.541451E+00 
                 5.000000E+01 
                 −5.000000E+01 
                 −1.255860E+00 
                 3.438780E+01 
                 1.037012E+01 
                 5.000000E+01 
               
               
                 A4 
                 1.054197E−02 
                 1.458164E−04 
                 7.218547E−03 
                 −1.329818E−02 
                 −3.083862E−03 
                 −4.374156E−03 
                 −6.951863E−03 
               
               
                 A6 
                 −1.095839E−03 
                 4.265172E−04 
                 −8.070234E−03 
                 2.322558E−03 
                 −1.147034E−04 
                 −8.820916E−04 
                 −2.543939E−03 
               
               
                 A8 
                 1.593040E−04 
                 −1.125463E−04 
                 4.485382E−03 
                 −2.002043E−04 
                 −1.578306E−04 
                 7.109484E−04 
                 1.290083E−03 
               
               
                 A10 
                 −1.021325E−05 
                 −6.667591E−07 
                 −1.623724E−03 
                 −5.609750E−05 
                 5.573740E−05 
                 −2.462473E−04 
                 −3.645877E−04 
               
               
                 A12 
                 5.847968E−06 
                 2.186462E−05 
                 3.553178E−04 
                 2.358188E−05 
                 −1.417555E−05 
                 4.756165E−05 
                 5.753038E−05 
               
               
                 A14 
                 −2.275257E−06 
                 −8.495319E−06 
                 −3.942184E−05 
                 −1.810874E−06 
                 1.976971E−06 
                 −4.611415E−06 
                 −4.629210E−06 
               
               
                 A16 
                 2.721299E−07 
                 1.040794E−06 
                 1.370809E−06 
                 −1.298768E−07 
                 −1.119901E−07 
                 1.685553E−07 
                 1.516391E−07 
               
               
                   
               
            
           
           
               
               
            
               
                   
                 Surface 
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                   
                 9 
                 10 
                 11 
                 12 
                 13 
                 14 
                 15 
               
               
                   
               
               
                 k 
                 5.330959E+00 
                 −1.196341E+00 
                 −6.824307E−01 
                 −6.404575E+00 
                 1.484850E+01 
                 −5.580928E−02 
                 −2.903132E−01 
               
               
                 A4 
                 −8.044999E−04 
                 4.578808E−02 
                 2.909557E−02 
                 −1.322926E−02 
                 −6.285271E−03 
                 −5.164617E−03 
                 −5.610506E−03 
               
               
                 A6 
                 −3.038872E−03 
                 −1.803425E−02 
                 −1.009390E−02 
                 3.112061E−03 
                 2.449247E−03 
                 1.520939E−03 
                 4.474495E−04 
               
               
                 A8 
                 1.141016E−03 
                 4.834947E−03 
                 2.420551E−03 
                 −5.106637E−04 
                 −3.348453E−04 
                 −1.839025E−04 
                 −3.491290E−05 
               
               
                 A10 
                 −2.772937E−04 
                 −8.645702E−04 
                 −3.797089E−04 
                 4.934527E−05 
                 2.166639E−05 
                 1.337651E−05 
                 1.753545E−06 
               
               
                 A12 
                 3.833665E−05 
                 9.332471E−05 
                 3.611415E−05 
                 −3.220971E−06 
                 −7.315875E−07 
                 −5.527936E−07 
                 −5.231885E−08 
               
               
                 A14 
                 −2.807598E−06 
                 −5.374714E−06 
                 −1.831530E−06 
                 1.291317E−07 
                 1.259274E−08 
                 1.203746E−08 
                 8.361821E−10 
               
               
                 A16 
                 9.023221E−08 
                 1.260842E−07 
                 3.774371E−08 
                 −2.360800E−09 
                 −9.081864E−11 
                 −1.079155E−10 
                 −5.517533E−12 
               
               
                   
               
            
           
         
       
     
     An equation of the aspheric surfaces of the fourth embodiment is the same as that of the first embodiment, and the definitions are the same as well. 
     The exact parameters of the fourth embodiment based on Table 7 and Table 8 are listed in the following table: 
     
       
         
           
               
             
               
                   
               
               
                 Fourth embodiment (Reference wavelength: 555 nm) 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 |f/f1| 
                 |f/f2| 
                 |f/f3| 
                 |f/f4| 
                 |f/f5| 
                 |f/f6| 
               
               
                   
               
               
                 1.0902 
                 0.5269 
                 0.2379 
                 0.4432 
                 0.5053 
                 1.1530 
               
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 |f/f7| 
                 ΣPPR 
                 ΣNPR 
                 ΣPPR/|ΣNPR| 
                 IN12/f 
                 IN67/f 
               
               
                   
               
               
                 1.6339 
                 2.9242 
                 2.6661 
                 1.0968 
                 0.0557 
                 0.1179 
               
               
                   
               
            
           
           
               
               
               
               
            
               
                 |f1/f2| 
                 |f2/f3| 
                 (TP1 + IN12)/TP2 
                 (TP7 + IN67)/TP6 
               
               
                   
               
               
                 0.4833 
                 0.4514 
                 3.5722 
                 2.05472 
               
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 HOS 
                 InTL 
                 HOS/HOI 
                 InS/HOS 
                 ODT % 
                 TDT % 
               
               
                   
               
               
                 12.2277 
                 10.4799 
                 1.6304 
                 0.9317 
                 2.0000 
                 1.1825 
               
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 HVT11 
                 HVT12 
                 HVT21 
                 HVT22 
                 HVT31 
                 HVT32 
               
               
                   
               
               
                 0.0000 
                 0.0000 
                 0.0000 
                 0.0000 
                 0.0000 
                 0.0000 
               
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 HVT61 
                 HVT62 
                 HVT71 
                 HVT72 
                 HVT72/HOI 
                 HVT72/HOS 
               
               
                   
               
               
                 2.4666 
                 0.0000 
                 0.0000 
                 3.0243 
                 0.4032 
                 0.2473 
               
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 PSTA 
                 PLTA 
                 NSTA 
                 NLTA 
                 SSTA 
                 SLTA 
               
               
                   
               
               
                 0.009 mm 
                 −0.002 
                 0.003 mm 
                 −0.00017 mm 
                 0.003 mm 
                 0.001 mm 
               
               
                   
                 mm 
               
               
                   
               
            
           
         
       
     
     The figures related to the profile curve lengths obtained based on Table 7 and Table 8 are listed in the following table: 
     
       
         
           
               
             
               
                   
               
               
                 Fourth embodiment (Reference wavelength: 555 nm) 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
               
            
               
                   
                   
                   
                 ARE − 
                 2(ARE/HEP) 
                   
                   
               
               
                 ARE 
                 ½(HEP) 
                 ARE value 
                 ½(HEP) 
                 % 
                 TP 
                 ARE/TP (%) 
               
               
                   
               
               
                 11 
                 1.708 
                 1.750 
                 0.042 
                 102.44% 
                 0.728 
                 240.50% 
               
               
                 12 
                 1.708 
                 1.708 
                 −0.00013 
                 99.99% 
                 0.728 
                 234.76% 
               
               
                 21 
                 1.708 
                 1.715 
                 0.007 
                 100.39% 
                 0.353 
                 485.90% 
               
               
                 22 
                 1.708 
                 1.735 
                 0.027 
                 101.59% 
                 0.353 
                 491.72% 
               
               
                 31 
                 1.708 
                 1.717 
                 0.009 
                 100.52% 
                 1.318 
                 130.27% 
               
               
                 32 
                 1.708 
                 1.727 
                 0.018 
                 101.08% 
                 1.318 
                 130.99% 
               
               
                 41 
                 1.708 
                 1.718 
                 0.010 
                 100.56% 
                 0.681 
                 252.19% 
               
               
                 42 
                 1.708 
                 1.730 
                 0.022 
                 101.27% 
                 0.681 
                 253.98% 
               
               
                 51 
                 1.708 
                 1.776 
                 0.068 
                 103.96% 
                 0.458 
                 387.80% 
               
               
                 52 
                 1.708 
                 1.755 
                 0.047 
                 102.74% 
                 0.458 
                 383.26% 
               
               
                 61 
                 1.708 
                 1.715 
                 0.007 
                 100.41% 
                 1.224 
                 140.16% 
               
               
                 62 
                 1.708 
                 1.711 
                 0.003 
                 100.17% 
                 1.224 
                 139.82% 
               
               
                 71 
                 1.708 
                 1.740 
                 0.032 
                 101.85% 
                 1.387 
                 125.45% 
               
               
                 72 
                 1.708 
                 1.712 
                 0.004 
                 100.23% 
                 1.387 
                 123.45% 
               
               
                   
               
               
                 ARS 
                 EHD 
                 ARS value 
                 ARS − EHD 
                 (ARS/EHD) % 
                 TP 
                 ARS/TP (%) 
               
               
                   
               
               
                 11 
                 1.971 
                 2.039 
                 0.069 
                 103.48% 
                 0.728 
                 280.24% 
               
               
                 12 
                 1.767 
                 1.766 
                 −0.00035 
                 99.98% 
                 0.728 
                 242.73% 
               
               
                 21 
                 1.869 
                 1.876 
                 0.007 
                 100.36% 
                 0.353 
                 531.44% 
               
               
                 22 
                 1.979 
                 2.017 
                 0.038 
                 101.93% 
                 0.353 
                 571.62% 
               
               
                 31 
                 2.039 
                 2.064 
                 0.025 
                 101.21% 
                 1.318 
                 156.58% 
               
               
                 32 
                 2.567 
                 2.694 
                 0.127 
                 104.94% 
                 1.318 
                 204.35% 
               
               
                 41 
                 2.758 
                 2.885 
                 0.127 
                 104.62% 
                 0.681 
                 423.57% 
               
               
                 42 
                 2.902 
                 3.174 
                 0.273 
                 109.40% 
                 0.681 
                 466.01% 
               
               
                 51 
                 3.230 
                 3.563 
                 0.333 
                 110.31% 
                 0.458 
                 778.07% 
               
               
                 52 
                 3.503 
                 3.760 
                 0.257 
                 107.34% 
                 0.458 
                 821.15% 
               
               
                 61 
                 3.936 
                 4.388 
                 0.452 
                 111.48% 
                 1.224 
                 358.53% 
               
               
                 62 
                 4.742 
                 5.066 
                 0.324 
                 106.84% 
                 1.224 
                 413.95% 
               
               
                 71 
                 5.201 
                 5.547 
                 0.346 
                 106.65% 
                 1.387 
                 399.91% 
               
               
                 72 
                 6.445 
                 7.128 
                 0.684 
                 110.61% 
                 1.387 
                 513.95% 
               
               
                   
               
            
           
         
       
     
     The results of the equations of the fourth embodiment based on Table 7 and Table 8 are listed in the following table: 
     
       
         
           
               
             
               
                   
               
               
                 Values related to the inflection points of the fourth embodiment 
               
               
                 (Reference wavelength: 555 nm) 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                 HIF211 
                 1.2844 
                 HIF211/HOI 
                 0.1712 
                 SGI211 
                 0.0959 
                 |SGI211|/(|SGI211| + TP2) 
                 0.2137 
               
               
                 HIF411 
                 2.6305 
                 HIF411/HOI 
                 0.3507 
                 SGI411 
                 −0.5590 
                 |SGI411|/(|SGI411| + TP4) 
                 0.4507 
               
               
                 HIF421 
                 2.7033 
                 HIF421/HOI 
                 0.3604 
                 SGI421 
                 −0.8491 
                 |SGI421|/(|SGI421| + TP4) 
                 0.5549 
               
               
                 HIF511 
                 2.6892 
                 HIF511/HOI 
                 0.3586 
                 SGI511 
                 −1.0098 
                 |SGI511|/(|SGI511| + TP5) 
                 0.6880 
               
               
                 HIF512 
                 2.9994 
                 HIF512/HOI 
                 0.3999 
                 SGI512 
                 −1.2196 
                 |SGI512|/(|SGI512| + TP5) 
                 0.7270 
               
               
                 HIF513 
                 3.1429 
                 HIF513/HOI 
                 0.4191 
                 SGI513 
                 −1.3157 
                 |SGI513|/(|SGI513| + TP5) 
                 0.7418 
               
               
                 HIF521 
                 2.6929 
                 HIF521/HOI 
                 0.3591 
                 SGI521 
                 −0.8562 
                 |SGI521|/(|SGI521| + TP5) 
                 0.6515 
               
               
                 HIF611 
                 1.3753 
                 HIF611/HOI 
                 0.1834 
                 SGI611 
                 0.1088 
                 |SGI611|/(|SGI611| + TP6) 
                 0.0816 
               
               
                 HIF621 
                 1.7184 
                 HIF621/HOI 
                 0.2291 
                 SGI621 
                 −0.0917 
                 |SGI621|/(|SGI621| + TP6) 
                 0.0697 
               
               
                 HIF622 
                 2.1923 
                 HIF622/HOI 
                 0.2923 
                 SGI622 
                 −0.1360 
                 |SGI622|/(|SGI622| + TP6) 
                 0.1000 
               
               
                 HIF711 
                 3.1340 
                 HIF711/HOI 
                 0.4179 
                 SGI711 
                 −0.9079 
                 |SGI711|/(|SGI711| + TP7) 
                 0.3956 
               
               
                 HIF712 
                 4.5559 
                 HIF712/HOI 
                 0.6075 
                 SGI712 
                 −1.4952 
                 |SGI712|/(|SGI712| + TP7) 
                 0.5188 
               
               
                 HIF721 
                 1.5264 
                 HIF721/HOI 
                 0.2035 
                 SGI721 
                 0.0935 
                 |SGI721|/(|SGI721| + TP7) 
                 0.0631 
               
               
                   
               
            
           
         
       
     
     Fifth Embodiment 
     As shown in  FIG. 5A  and  FIG. 5B , an optical image capturing system of the fifth embodiment of the present invention includes, along an optical axis from an object side to an image side, a first lens  510 , an aperture  500 , a second lens  520 , a third lens  530 , a fourth lens  540 , a fifth lens  550 , a sixth lens  560 , a seventh lens  570 , an infrared rays filter  580 , an image plane  590 , and an image sensor  592 .  FIG. 5C  is a transverse aberration diagram at 0.7 field of view of the fifth embodiment of the present application. 
     The first lens  510  has positive refractive power and is made of plastic. An object-side surface  512 , which faces the object side, is a convex aspheric surface, and an image-side surface  514 , which faces the image side, is a concave aspheric surface. 
     The second lens  520  has negative refractive power and is made of plastic. An object-side surface  522  thereof, which faces the object side, is a convex aspheric surface, and an image-side surface  524  thereof, which faces the image side, is a concave aspheric surface. The object-side surface  552  and the image-side surface  524  both have an inflection point. 
     The third lens  530  has positive refractive power and is made of plastic. An object-side surface  532 , which faces the object side, is a convex aspheric surface, and an image-side surface  534 , which faces the image side, is a convex aspheric surface. The object-side surface  532  has two inflection points. 
     The fourth lens  540  has positive refractive power and is made of plastic. An object-side surface  542 , which faces the object side, is a convex aspheric surface, and an image-side surface  544 , which faces the image side, is a convex aspheric surface. The object-side surface  542  has an inflection point. 
     The fifth lens  550  has negative refractive power and is made of plastic. An object-side surface  552 , which faces the object side, is a concave aspheric surface, and an image-side surface  554 , which faces the image side, is a concave aspheric surface. The object-side surface  552  has two inflection points, and the image-side surface  554  has an inflection point. 
     The sixth lens  560  can have positive refractive power and is made of plastic. An object-side surface  562 , which faces the object side, is a convex surface, and an image-side surface  564 , which faces the image side, is a convex surface. The object-side surface  562  has two inflection points, and the image-side surface  564  has three inflection points. Whereby, incident angle of each field of view for the sixth lens  560  can be effectively adjusted to improve aberration. 
     The seventh lens  570  has negative refractive power and is made of plastic. An object-side surface  572 , which faces the object side, is a concave surface, and an image-side surface  574 , which faces the image side, is a concave surface. It may help to shorten the back focal length to keep small in size. In addition, the object-side surface  572  has two inflection points, and the image-side surface  574  has an inflection point, which may reduce an incident angle of the light of an off-axis field of view and correct the aberration of the off-axis field of view. 
     The infrared rays filter  580  is made of glass and between the seventh lens  570  and the image plane  590 . The infrared rays filter  580  gives no contribution to the focal length of the system. 
     In the fifth embodiment, the optical image capturing system of the fifth embodiment further satisfies ΣPP=77.0412 mm; and f1/ΣPP=0.1705, where ΣPP is a sum of the focal lengths of each positive lens. It is helpful to share the positive refractive power of one single lens to other positive lenses to avoid the significant aberration caused by the incident rays. 
     The optical image capturing system of the fifth embodiment further satisfies ΣNP=−162.0436 mm; and f7/ΣNP=0.0429, where ΣNP is a sum of the focal lengths of each negative lens. It is helpful to share the negative refractive power of one single lens to other negative lenses. 
     The parameters of the lenses of the fifth embodiment are listed in Table 9 and Table 10. 
     
       
         
           
               
             
               
                 TABLE 9 
               
             
            
               
                   
               
               
                 f = 6.5733 mm; f/HEP = 1.4; HAF = 42.5 deg 
               
            
           
           
               
               
               
               
               
               
               
            
               
                   
                   
                   
                   
                   
                   
                 Focal 
               
               
                   
                 Radius of curvature 
                 Thickness 
                   
                 Refractive 
                 Abbe 
                 length 
               
               
                 Surface 
                 (mm) 
                 (mm) 
                 Material 
                 index 
                 number 
                 (mm) 
               
               
                   
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                 0 
                 Object 
                 plane 
                 infinity 
                   
                   
                   
                   
               
               
                 1 
                 1 st  lens 
                 5.446364908 
                 1.040 
                 plastic 
                 1.565 
                 58.00 
                 13.139 
               
               
                 2 
                   
                 18.87365407 
                 0.121 
               
               
                 3 
                 Aperture 
                 plane 
                 0.000 
               
               
                 4 
                 2 nd  lens 
                 3.396487656 
                 0.300 
                 plastic 
                 1.650 
                 21.40 
                 −90.957 
               
               
                 5 
                   
                 3.101036314 
                 0.471 
               
               
                 6 
                 3 rd  lens 
                 1111.885105 
                 0.771 
                 plastic 
                 1.565 
                 54.50 
                 46.154 
               
               
                 7 
                   
                 −26.78814758 
                 0.468 
               
               
                 8 
                 4 th  lens 
                 21.12493198 
                 1.022 
                 plastic 
                 1.565 
                 58.00 
                 10.650 
               
               
                 9 
                   
                 −8.303556039 
                 0.829 
               
               
                 10 
                 5 th  lens 
                 −1.857091195 
                 1.420 
                 plastic 
                 1.650 
                 21.40 
                 −64.128 
               
               
                 11 
                   
                 −2.531101729 
                 0.050 
               
               
                 12 
                 6 th  lens 
                 4.26425423 
                 1.222 
                 plastic 
                 1.565 
                 58.00 
                 7.098 
               
               
                 13 
                   
                 −63.72206001 
                 0.387 
               
               
                 14 
                 7 th  lens 
                 −23.65770031 
                 0.790 
                 plastic 
                 1.650 
                 21.40 
                 −6.959 
               
               
                 15 
                   
                 5.725020915 
                 1.000 
               
               
                 16 
                 Infrared 
                 plane 
                 0.300 
                 BK_7 
                 1.517 
                 64.2 
               
               
                   
                 rays 
               
               
                   
                 filter 
               
               
                 17 
                   
                 plane 
                 0.715 
               
               
                 18 
                 Image 
                 plane 
                 0.031 
               
               
                   
                 plane 
               
               
                   
               
               
                 Reference wavelength (d-line): 555 nm; the position of blocking light: blocking at the first surface with effective semi diameter of 2.750 mm; blocking at the seventh surface with effective semi diameter of 2.500 mm. 
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 10 
               
               
                   
               
               
                 Coefficients of the aspheric surfaces 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
            
               
                   
                 Surface 
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                   
                 1 
                 2 
                 4 
                 5 
                 6 
                 7 
                 8 
               
               
                   
               
               
                 k 
                 3.602747E−01 
                 3.097617E+01 
                 −4.914929E+00 
                 −9.449708E−01 
                 −5.000000E+01 
                 5.000000E+01 
                 −4.178150E+00 
               
               
                 A4 
                 1.025175E−03 
                 −8.694810E−03 
                 −8.340919E−03 
                 −1.113956E−02 
                 −1.649846E−03 
                 −1.101535E−02 
                 −1.191129E−02 
               
               
                 A6 
                 3.415693E−04 
                 3.302085E−03 
                 −1.258698E−03 
                 −3.166952E−03 
                 1.102903E−03 
                 −4.039507E−04 
                 −2.494873E−03 
               
               
                 A8 
                 −2.962521E−04 
                 −1.244063E−03 
                 −1.161113E−03 
                 3.628299E−04 
                 −3.720513E−04 
                 6.241343E−04 
                 9.331250E−04 
               
               
                 A10 
                 9.802308E−05 
                 3.390037E−04 
                 6.982355E−04 
                 1.591186E−04 
                 4.959135E−05 
                 −2.789218E−04 
                 −4.023604E−04 
               
               
                 A12 
                 −1.674386E−05 
                 −5.833077E−05 
                 −1.577616E−04 
                 −5.487693E−05 
                 −8.662730E−06 
                 6.243935E−05 
                 9.060507E−05 
               
               
                 A14 
                 1.465645E−06 
                 5.546200E−06 
                 1.675460E−05 
                 5.980045E−06 
                 1.396475E−06 
                 −6.722999E−06 
                 −1.061610E−05 
               
               
                 A16 
                 −5.229988E−08 
                 −2.210286E−07 
                 −7.061959E−07 
                 −1.960326E−07 
                 −6.322729E−08 
                 2.776015E−07 
                 4.736098E−07 
               
               
                   
               
            
           
           
               
               
            
               
                   
                 Surface 
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                   
                 9 
                 10 
                 11 
                 12 
                 13 
                 14 
                 15 
               
               
                   
               
               
                 k 
                 −2.888377E+01 
                 −6.539364E−01 
                 −5.980761E−01 
                 −1.326514E+01 
                 −4.269993E+01 
                 9.240303E+00 
                 −1.121151E+01 
               
               
                 A4 
                 −9.835062E−03 
                 2.945936E−02 
                 7.060393E−03 
                 1.838522E−03 
                 −6.822278E−03 
                 6.993184E−03 
                 8.517562E−03 
               
               
                 A6 
                 −1.122282E−03 
                 −7.400431E−03 
                 −2.559604E−04 
                 −8.947241E−04 
                 3.419590E−03 
                 −5.371355E−05 
                 −1.823942E−03 
               
               
                 A8 
                 1.245332E−04 
                 2.084361E−03 
                 −2.804894E−05 
                 2.008524E−04 
                 −5.633828E−04 
                 −1.823336E−04 
                 1.657220E−04 
               
               
                 A10 
                 −5.996834E−05 
                 −4.046282E−04 
                 2.586716E−05 
                 −2.845687E−05 
                 4.282588E−05 
                 2.332620E−05 
                 −8.391854E−06 
               
               
                 A12 
                 1.402146E−05 
                 5.840699E−05 
                 −3.712356E−06 
                 1.890028E−06 
                 −1.737673E−06 
                 −1.315443E−06 
                 2.409729E−07 
               
               
                 A14 
                 −1.214827E−06 
                 −4.740857E−06 
                 2.391870E−07 
                 −5.732399E−08 
                 3.700734E−08 
                 3.640479E−08 
                 −3.661828E−09 
               
               
                 A16 
                 2.793602E−08 
                 1.581652E−07 
                 −5.607171E−09 
                 6.541259E−10 
                 −3.242797E−10 
                 −4.077483E−10 
                 2.277145E−11 
               
               
                   
               
            
           
         
       
     
     An equation of the aspheric surfaces of the fifth embodiment is the same as that of the first embodiment, and the definitions are the same as well. 
     The exact parameters of the fifth embodiment based on Table 9 and Table 10 are listed in the following table: 
     
       
         
           
               
             
               
                   
               
               
                 Fifth embodiment (Reference wavelength: 555 nm) 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 |f/f1| 
                 |f/f2| 
                 |f/f3| 
                 |f/f4| 
                 |f/f5| 
                 |f/f6| 
               
               
                   
               
               
                 0.5003 
                 0.0723 
                 0.1424 
                 0.6172 
                 0.1025 
                 0.9261 
               
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 |f/f7| 
                 ΣPPR 
                 ΣNPR 
                 ΣPPR/|ΣNPR| 
                 IN12/f 
                 IN67/f 
               
               
                   
               
               
                 0.9446 
                 2.1860 
                 1.1194 
                 1.9528 
                 0.0184 
                 0.0589 
               
               
                   
               
            
           
           
               
               
               
               
            
               
                 |f1/f2| 
                 |f2/f3| 
                 (TP1 + IN12)/TP2 
                 (TP7 + IN67)/TP6 
               
               
                   
               
               
                 0.1445 
                 1.9707 
                 3.8697 
                 0.9631 
               
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 HOS 
                 InTL 
                 HOS/HOI 
                 InS/HOS 
                 ODT % 
                 TDT % 
               
               
                   
               
               
                 10.9367 
                 8.8907 
                 1.4582 
                 0.8938 
                 24.0649 
                 14.4258 
               
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 HVT11 
                 HVT12 
                 HVT21 
                 HVT22 
                 HVT31 
                 HVT32 
               
               
                   
               
               
                 0.0000 
                 0.0000 
                 1.8837 
                 2.2022 
                 0.4002 
                 0.0000 
               
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 HVT61 
                 HVT62 
                 HVT71 
                 HVT72 
                 HVT72/HOI 
                 HVT72/HOS 
               
               
                   
               
               
                 2.9336 
                 0.0000 
                 0.0000 
                 4.2652 
                 0.5687 
                 0.3900 
               
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 PSTA 
                 PLTA 
                 NSTA 
                 NLTA 
                 SSTA 
                 SLTA 
               
               
                   
               
               
                 0.010 mm 
                 −0.005 
                 −0.006 mm 
                 −0.006 mm 
                 0.019 mm 
                 0.010 mm 
               
               
                   
                 mm 
               
               
                   
               
            
           
         
       
     
     The figures related to the profile curve lengths obtained based on Table 9 and Table 10 are listed in the following table: 
     
       
         
           
               
             
               
                   
               
               
                 Fifth embodiment (Reference wavelength: 555 nm) 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
               
            
               
                 ARE 
                 ½(HEP) 
                 ARE value 
                 ARE − ½(HEP) 
                 2(ARE/HEP) % 
                 TP 
                 ARE/TP (%) 
               
               
                   
               
               
                 11 
                 2.348 
                 2.440 
                 0.09192 
                 103.92% 
                 1.040 
                 234.58% 
               
               
                 12 
                 2.348 
                 2.348 
                 0.00054 
                 100.02% 
                 1.040 
                 225.80% 
               
               
                 21 
                 2.277 
                 2.301 
                 0.02435 
                 101.07% 
                 0.300 
                 767.01% 
               
               
                 22 
                 2.348 
                 2.390 
                 0.04243 
                 101.81% 
                 0.300 
                 796.67% 
               
               
                 31 
                 2.348 
                 2.348 
                 0.00020 
                 100.01% 
                 0.771 
                 304.35% 
               
               
                 32 
                 2.348 
                 2.413 
                 0.06536 
                 102.78% 
                 0.771 
                 312.79% 
               
               
                 41 
                 2.348 
                 2.518 
                 0.17008 
                 107.25% 
                 1.022 
                 246.46% 
               
               
                 42 
                 2.348 
                 2.514 
                 0.16634 
                 107.09% 
                 1.022 
                 246.09% 
               
               
                 51 
                 2.348 
                 2.702 
                 0.35456 
                 115.10% 
                 1.420 
                 190.31% 
               
               
                 52 
                 2.348 
                 2.599 
                 0.25112 
                 110.70% 
                 1.420 
                 183.02% 
               
               
                 61 
                 2.348 
                 2.386 
                 0.03828 
                 101.63% 
                 1.222 
                 195.25% 
               
               
                 62 
                 2.348 
                 2.347 
                 −0.00023 
                 99.99% 
                 1.222 
                 192.10% 
               
               
                 71 
                 2.348 
                 2.347 
                 −0.00021 
                 99.99% 
                 0.790 
                 297.22% 
               
               
                 72 
                 2.348 
                 2.396 
                 0.04875 
                 102.08% 
                 0.790 
                 303.42% 
               
               
                   
               
               
                 ARS 
                 EHD 
                 ARS value 
                 ARS − EHD 
                 (ARS/EHD) % 
                 TP 
                 ARS/TP (%) 
               
               
                   
               
               
                 11 
                 2.678 
                 2.823 
                 0.14550 
                 105.43% 
                 1.040 
                 271.47% 
               
               
                 12 
                 2.394 
                 2.394 
                 0.00036 
                 100.02% 
                 1.040 
                 230.22% 
               
               
                 21 
                 2.277 
                 2.301 
                 0.02435 
                 101.07% 
                 0.300 
                 767.01% 
               
               
                 22 
                 2.407 
                 2.449 
                 0.04229 
                 101.76% 
                 0.300 
                 816.39% 
               
               
                 31 
                 2.428 
                 2.428 
                 0.00015 
                 100.01% 
                 0.771 
                 314.72% 
               
               
                 32 
                 2.500 
                 2.592 
                 0.09166 
                 103.67% 
                 0.771 
                 335.96% 
               
               
                 41 
                 2.518 
                 2.863 
                 0.34423 
                 113.67% 
                 1.022 
                 280.23% 
               
               
                 42 
                 2.825 
                 3.352 
                 0.52701 
                 118.66% 
                 1.022 
                 328.11% 
               
               
                 51 
                 2.899 
                 3.398 
                 0.49919 
                 117.22% 
                 1.420 
                 239.32% 
               
               
                 52 
                 3.454 
                 3.907 
                 0.45280 
                 113.11% 
                 1.420 
                 275.15% 
               
               
                 61 
                 4.708 
                 4.859 
                 0.15082 
                 103.20% 
                 1.222 
                 397.62% 
               
               
                 62 
                 4.794 
                 4.978 
                 0.18390 
                 103.84% 
                 1.222 
                 407.39% 
               
               
                 71 
                 4.819 
                 5.234 
                 0.41482 
                 108.61% 
                 0.790 
                 662.74% 
               
               
                 72 
                 6.306 
                 6.797 
                 0.49164 
                 107.80% 
                 0.790 
                 860.66% 
               
               
                   
               
            
           
         
       
     
     The results of the equations of the fifth embodiment based on Table 9 and Table 10 are listed in the following table: 
     
       
         
           
               
             
               
                   
               
               
                 Values related to the inflection points of the fifth embodiment 
               
               
                 (Reference wavelength: 555 nm) 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                 HIF211 
                 1.0559 
                 HIF211/HOI 
                 0.1408 
                 SGI211 
                 0.1380 
                 |SGI211|/(|SGI211| + TP2) 
                 0.3151 
               
               
                 HIF221 
                 1.2431 
                 HIF221/HOI 
                 0.1657 
                 SGI221 
                 0.2143 
                 |SGI221|/(|SGI221| + TP2) 
                 0.4166 
               
               
                 HIF311 
                 0.2221 
                 HIF311/HOI 
                 0.0296 
                 SGI311 
                 0.00002 
                 |SGI311|/(|SGI311| + TP3) 
                 0.00002 
               
               
                 HIF312 
                 2.1666 
                 HIF312/HOI 
                 0.2889 
                 SGI312 
                 −0.0252 
                 |SGI312|/(|SGI312| + TP3) 
                 0.0317 
               
               
                 HIF411 
                 0.5411 
                 HIF411/HOI 
                 0.0722 
                 SGI411 
                 0.0058 
                 |SGI411|/(|SGI411| + TP4) 
                 0.0057 
               
               
                 HIF511 
                 2.1614 
                 HIF511/HOI 
                 0.2882 
                 SGI511 
                 −1.0614 
                 |SGI511|/(|SGI511| + TP5) 
                 0.4278 
               
               
                 HIF512 
                 2.7106 
                 HIF512/HOI 
                 0.3614 
                 SGI512 
                 −1.4982 
                 |SGI512|/(|SGI512| + TP5) 
                 0.5134 
               
               
                 HIF521 
                 2.5210 
                 HIF521/HOI 
                 0.3361 
                 SGI521 
                 −1.1318 
                 |SGI521|/(|SGI521| + TP5) 
                 0.4435 
               
               
                 HIF611 
                 1.8550 
                 HIF611/HOI 
                 0.2473 
                 SGI611 
                 0.2885 
                 |SGI611|/(|SGI611| + TP6) 
                 0.1910 
               
               
                 HIF612 
                 3.8589 
                 HIF612/HOI 
                 0.5145 
                 SGI612 
                 0.1827 
                 |SGI612|/(|SGI612| + TP6) 
                 0.1301 
               
               
                 HIF621 
                 1.1967 
                 HIF621/HOI 
                 0.1596 
                 SGI621 
                 −0.0173 
                 |SGI621|/(|SGI621| + TP6) 
                 0.0139 
               
               
                 HIF622 
                 2.2074 
                 HIF622/HOI 
                 0.2943 
                 SGI622 
                 −0.0250 
                 |SGI622|/(|SGI622| + TP6) 
                 0.0201 
               
               
                 HIF623 
                 4.0580 
                 HIF623/HOI 
                 0.5411 
                 SGI623 
                 −0.5252 
                 |SGI623|/(|SGI623| + TP6) 
                 0.3006 
               
               
                 HIF711 
                 0.7303 
                 HIF711/HOI 
                 0.0974 
                 SGI711 
                 −0.0093 
                 |SGI711|/(|SGI711| + TP7) 
                 0.0117 
               
               
                 HIF712 
                 1.9781 
                 HIF712/HOI 
                 0.2637 
                 SGI712 
                 −0.0060 
                 |SGI712|/(|SGI712| + TP7) 
                 0.0075 
               
               
                 HIF721 
                 2.0688 
                 HIF721/HOI 
                 0.2758 
                 SGI721 
                 0.3537 
                 |SGI721|/(|SGI721| + TP7) 
                 0.3093 
               
               
                   
               
            
           
         
       
     
     Sixth Embodiment 
     As shown in  FIG. 6A  and  FIG. 6B , an optical image capturing system of the sixth embodiment of the present invention includes, along an optical axis from an object side to an image side, a first lens  610 , an aperture  600 , a second lens  620 , a third lens  630 , a fourth lens  640 , a fifth lens  650 , a seventh lens  660 , a seventh lens  670 , an infrared rays filter  680 , an image plane  690 , and an image sensor  692 .  FIG. 6C  is a transverse aberration diagram at 0.7 field of view of the sixth embodiment of the present application. 
     The first lens  610  has positive refractive power and is made of plastic. An object-side surface  612 , which faces the object side, is a convex aspheric surface, and an image-side surface  614 , which faces the image side, is a concave aspheric surface. 
     The second lens  620  has negative refractive power and is made of plastic. An object-side surface  622  thereof, which faces the object side, is a convex aspheric surface, and an image-side surface  624  thereof, which faces the image side, is a concave aspheric surface. The object-side surface  612  and the image-side surface  614  both have an inflection point. 
     The third lens  630  has positive refractive power and is made of plastic. An object-side surface  632 , which faces the object side, is a convex aspheric surface, and an image-side surface  634 , which faces the image side, is a convex aspheric surface. The object-side surface  632  has an inflection point. 
     The fourth lens  640  has positive refractive power and is made of plastic. An object-side surface  642 , which faces the object side, is a concave aspheric surface, and an image-side surface  644 , which faces the image side, is a convex aspheric surface. 
     The fifth lens  650  has positive refractive power and is made of plastic. An object-side surface  652 , which faces the object side, is a concave aspheric surface, and an image-side surface  654 , which faces the image side, is a convex aspheric surface. The object-side surface  652  has two inflection points, and the image-side surface  654  has an inflection point. 
     The sixth lens  660  can have positive refractive power and is made of plastic. An object-side surface  662 , which faces the object side, is a convex surface, and an image-side surface  664 , which faces the image side, is a convex surface. The object-side surface  662  has an inflection point, and the image-side surface  664  both have two inflection points. Whereby, incident angle of each field of view for the sixth lens  660  can be effectively adjusted to improve aberration. 
     The seventh lens  670  has negative refractive power and is made of plastic. An object-side surface  672 , which faces the object side, is a concave surface, and an image-side surface  674 , which faces the image side, is a concave surface. The image-side surface  664  has an inflection point. It may help to shorten the back focal length to keep small in size. In addition, it may reduce an incident angle of the light of an off-axis field of view and correct the aberration of the off-axis field of view. 
     The infrared rays filter  680  is made of glass and between the seventh lens  670  and the image plane  690 . The infrared rays filter  680  gives no contribution to the focal length of the system. 
     In the sixth embodiment, the optical image capturing system of the sixth embodiment further satisfies ΣPP=126.2162 mm; and f1/ΣPP=0.1279, where ΣPP is a sum of the focal lengths of each positive lens. It is helpful to share the positive refractive power of one single lens to other positive lenses to avoid the significant aberration caused by the incident rays. 
     The optical image capturing system of the sixth embodiment further satisfies ΣNP=−67.2059 mm; and f7/ΣNP=0.0439, where ΣNP is a sum of the focal lengths of each negative lens. It is helpful to share the negative refractive power of one single lens to the other negative lenses to avoid the significant aberration caused by the incident rays. 
     The parameters of the lenses of the sixth embodiment are listed in Table 11 and Table 12. 
     
       
         
           
               
             
               
                 TABLE 11 
               
             
            
               
                   
               
               
                 f = 5.5641 mm; f/HEP = 1.4, HAF = 47.4997 deg 
               
            
           
           
               
               
               
               
               
               
               
            
               
                   
                   
                   
                   
                   
                   
                 Focal 
               
               
                   
                 Radius of curvature 
                 Thickness 
                   
                 Refractive 
                 Abbe 
                 length 
               
               
                 Surface 
                 (mm) 
                 (mm) 
                 Material 
                 index 
                 number 
                 (mm) 
               
               
                   
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                 0 
                 Object 
                 plane 
                 infinity 
                   
                   
                   
                   
               
               
                 1 
                 1 st  lens 
                 4.835295814 
                 0.900 
                 plastic 
                 1.583 
                 30.20 
                 16.143 
               
               
                 2 
                   
                 9.202478641 
                 0.285 
                   
                   
                   
                   
               
               
                 3 
                 Aperture 
                 plane 
                 0.000 
                   
                   
                   
                   
               
               
                 4 
                 2 nd  lens 
                 3.441455186 
                 0.300 
                 plastic 
                 1.650 
                 21.40 
                 −64.253 
               
               
                 5 
                   
                 3.071668034 
                 0.224 
                   
                   
                   
                   
               
               
                 6 
                 3 rd  lens 
                 23.31186563 
                 0.956 
                 plastic 
                 1.565 
                 58.00 
                 9.049 
               
               
                 7 
                   
                 −6.477580922 
                 0.444 
                   
                   
                   
                   
               
               
                 8 
                 4 th  lens 
                 −17.052696 
                 0.683 
                 plastic 
                 1.583 
                 30.20 
                 32.205 
               
               
                 9 
                   
                 −9.094338954 
                 0.484 
                   
                   
                   
                   
               
               
                 10 
                 5 th  lens 
                 −1.774149519 
                 1.310 
                 plastic 
                 1.650 
                 21.40 
                 65.478 
               
               
                 11 
                   
                 −2.201644982 
                 0.050 
                   
                   
                   
                   
               
               
                 12 
                 6 th  lens 
                 4.867708036 
                 1.710 
                 plastic 
                 1.565 
                 58.00 
                 3.341 
               
               
                 13 
                   
                 −2.705046837 
                 0.050 
                   
                   
                   
                   
               
               
                 14 
                 7 th  lens 
                 −494.7308627 
                 0.319 
                 plastic 
                 1.632 
                 23.40 
                 −2.953 
               
               
                 15 
                   
                 1.888118555 
                 1.000 
                   
                   
                   
                   
               
               
                 16 
                 Infrared 
                 plane 
                 0.300 
                 BK_7 
                 1.517 
                 64.2 
                   
               
               
                   
                 rays 
                   
                   
                   
                   
                   
                   
               
               
                   
                 filter 
                   
                   
                   
                   
                   
                   
               
               
                 17 
                   
                 plane 
                 0.844 
                   
                   
                   
                   
               
               
                 18 
                 Image 
                 plane 
                 0.030 
                   
                   
                   
                   
               
               
                   
                 plane 
               
               
                   
               
               
                 Reference wavelength (d-line): 555 nm; the position of blocking light: blocking at the fifth surface with effective semi diameter of 1.800 mm. 
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 12 
               
               
                   
               
               
                 Coefficients of the aspheric surfaces 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
            
               
                   
                 Surface 
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                   
                 1 
                 2 
                 4 
                 5 
                 6 
                 7 
                 8 
               
               
                   
               
               
                 k 
                 2.768284E+00 
                 −5.000000E+01 
                 −1.035316E+01 
                 −8.272938E−02 
                 3.601860E+01 
                 7.814113E+00 
                 4.524743E+01 
               
               
                 A4 
                 −1.475794E−03 
                 −1.088211E−03 
                 −5.308306E−03 
                 −2.364538E−02 
                 4.629937E−03 
                 −9.146872E−03 
                 −2.590179E−02 
               
               
                 A6 
                 −2.331608E−04 
                 2.062780E−03 
                 −1.187216E−02 
                 −5.094192E−03 
                 2.194458E−04 
                 −1.315089E−03 
                 −1.117375E−03 
               
               
                 A8 
                 −4.121856E−05 
                 −8.257885E−04 
                 3.585864E−03 
                 2.778677E−03 
                 5.904392E−04 
                 1.721749E−03 
                 1.799055E−04 
               
               
                 A10 
                 1.938112E−05 
                 2.459819E−04 
                 −4.421450E−04 
                 −6.203167E−04 
                 −3.772064E−04 
                 −6.934823E−04 
                 1.170661E−05 
               
               
                 A12 
                 −4.307645E−06 
                 −3.183023E−05 
                 −8.389137E−07 
                 8.042273E−05 
                 8.304326E−05 
                 1.461540E−04 
                 −8.184639E−06 
               
               
                 A14 
                 −1.796938E−07 
                 −2.247683E−06 
                 2.054647E−06 
                 −9.987278E−06 
                 −1.015623E−05 
                 −1.374920E−05 
                 2.951361E−06 
               
               
                 A16 
                 5.534772E−08 
                 9.836096E−07 
                 −1.372780E−07 
                 −1.233460E−07 
                 −1.487042E−07 
                 5.950855E−07 
                 −1.618381E−06 
               
               
                   
               
            
           
           
               
               
            
               
                   
                 Surface 
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                   
                 9 
                 10 
                 11 
                 12 
                 13 
                 14 
                 15 
               
               
                   
               
               
                 k 
                 −1.024500E+00 
                 −5.565418E−01 
                 −6.036603E−01 
                 4.086985E−02 
                 −2.098867E+01 
                 5.000000E+01 
                 −6.302732E+00 
               
               
                 A4 
                 −1.978975E−02 
                 2.414207E−02 
                 1.317775E−02 
                 −1.104408E−02 
                 −5.902830E−03 
                 −8.544737E−03 
                 −5.130267E−03 
               
               
                 A6 
                 −1.703764E−03 
                 −6.364618E−03 
                 −2.350597E−03 
                 1.594649E−03 
                 2.891567E−03 
                 1.563878E−03 
                 4.397092E−04 
               
               
                 A8 
                 −1.278484E−05 
                 1.339730E−03 
                 5.627750E−04 
                 −1.783258E−04 
                 −3.862756E−04 
                 −1.634816E−04 
                 −2.936151E−05 
               
               
                 A10 
                 −2.950492E−05 
                 −6.883022E−05 
                 −5.960294E−05 
                 9.891271E−06 
                 2.474392E−05 
                 9.876828E−06 
                 1.303617E−06 
               
               
                 A12 
                 1.818520E−05 
                 1.340413E−05 
                 5.877376E−06 
                 −3.399782E−07 
                 −8.467402E−07 
                 −3.371806E−07 
                 −3.620071E−08 
               
               
                 A14 
                 −1.042020E−06 
                 −1.827701E−06 
                 −3.791703E−07 
                 8.475571E−09 
                 1.489296E−08 
                 5.979359E−09 
                 5.537102E−10 
               
               
                 A16 
                 −3.109811E−07 
                 8.816615E−08 
                 1.052032E−08 
                 −1.363672E−10 
                 −1.069406E−10 
                 −4.271087E−11 
                 −3.571421E−12 
               
               
                   
               
            
           
         
       
     
     An equation of the aspheric surfaces of the sixth embodiment is the same as that of the first embodiment, and the definitions are the same as well. 
     The exact parameters of the sixth embodiment based on Table 11 and Table 12 are listed in the following table: 
     
       
         
           
               
             
               
                   
               
               
                 Sixth embodiment (Reference wavelength: 555 nm) 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 |f/f1| 
                 |f/f2| 
                 |f/f3| 
                 |f/f4| 
                 |f/f5| 
                 |f/f6| 
               
               
                   
               
               
                 0.3447 
                 0.0866 
                 0.6149 
                 0.1728 
                 0.0850 
                 1.6655 
               
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 |f/f7| 
                 ΣPPR 
                 ΣNPR 
                 ΣPPR/|ΣNPR| 
                 IN12/f 
                 IN67/f 
               
               
                   
               
               
                 1.8844 
                 2.8829 
                 1.9710 
                 1.4627 
                 0.0512 
                 0.0090 
               
               
                   
               
            
           
           
               
               
               
               
            
               
                 |f1/f2| 
                 |f2/f3| 
                 (TP1 + IN12)/TP2 
                 (TP7 + IN67)/TP6 
               
               
                   
               
               
                 0.2512 
                 7.1009 
                 3.9501 
                 0.2159 
               
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 HOS 
                 InTL 
                 HOS/HOI 
                 InS/HOS 
                 ODT % 
                 TDT % 
               
               
                   
               
               
                 9.8889 
                 7.7147 
                 1.3185 
                 0.8802 
                 23.1027 
                 15.1146 
               
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 HVT11 
                 HVT12 
                 HVT21 
                 HVT22 
                 HVT31 
                 HVT32 
               
               
                   
               
               
                 0.0000 
                 0.0000 
                 1.4514 
                 0.0000 
                 0.0000 
                 0.0000 
               
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 HVT61 
                 HVT62 
                 HVT71 
                 HVT72 
                 HVT72/HOI 
                 HVT72/HOS 
               
               
                   
               
               
                 3.4244 
                 0.0000 
                 0.0000 
                 4.0945 
                 0.5459 
                 0.4140 
               
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 PSTA 
                 PLTA 
                 NSTA 
                 NLTA 
                 SSTA 
                 SLTA 
               
               
                   
               
               
                 −0.025 mm 
                 −0.003 mm 
                 0.043 
                 0.032 mm 
                 0.004 mm 
                 0.002 mm 
               
               
                   
                   
                 mm 
               
               
                   
               
            
           
         
       
     
     The figures related to the profile curve lengths obtained based on Table 11 and Table 12 are listed in the following table: 
     
       
         
           
               
             
               
                   
               
               
                 Sixth embodiment (Reference wavelength: 555 nm) 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
               
            
               
                 ARE 
                 ½(HEP) 
                 ARE value 
                 ARE − ½(HEP) 
                 2(ARE/HEP) % 
                 TP 
                 ARE/TP (%) 
               
               
                   
               
               
                 11 
                 1.987 
                 2.061 
                 0.074 
                 103.73% 
                 0.900 
                 229.03% 
               
               
                 12 
                 1.987 
                 2.002 
                 0.015 
                 100.75% 
                 0.900 
                 222.45% 
               
               
                 21 
                 1.817 
                 1.831 
                 0.014 
                 100.75% 
                 0.300 
                 610.23% 
               
               
                 22 
                 1.800 
                 1.827 
                 0.027 
                 101.51% 
                 0.300 
                 609.03% 
               
               
                 31 
                 1.856 
                 1.861 
                 0.005 
                 100.28% 
                 0.956 
                 194.69% 
               
               
                 32 
                 1.987 
                 2.090 
                 0.103 
                 105.19% 
                 0.956 
                 218.70% 
               
               
                 41 
                 1.987 
                 2.187 
                 0.200 
                 110.07% 
                 0.683 
                 320.46% 
               
               
                 42 
                 1.987 
                 2.157 
                 0.170 
                 108.54% 
                 0.683 
                 316.00% 
               
               
                 51 
                 1.987 
                 2.316 
                 0.329 
                 116.55% 
                 1.310 
                 176.85% 
               
               
                 52 
                 1.987 
                 2.192 
                 0.205 
                 110.32% 
                 1.310 
                 167.40% 
               
               
                 61 
                 1.987 
                 2.018 
                 0.030 
                 101.53% 
                 1.710 
                 117.96% 
               
               
                 62 
                 1.987 
                 2.015 
                 0.028 
                 101.39% 
                 1.710 
                 117.80% 
               
               
                 71 
                 1.987 
                 1.989 
                 0.002 
                 100.11% 
                 0.319 
                 623.08% 
               
               
                 72 
                 1.987 
                 2.061 
                 0.074 
                 103.72% 
                 0.319 
                 645.52% 
               
               
                   
               
               
                 ARS 
                 EHD 
                 ARS value 
                 ARS − EHD 
                 (ARS/EHD) % 
                 TP 
                 ARS/TP (%) 
               
               
                   
               
               
                 11 
                 2.426 
                 2.642 
                 0.217 
                 108.93% 
                 0.900 
                 293.59% 
               
               
                 12 
                 2.046 
                 2.066 
                 0.019 
                 100.95% 
                 0.900 
                 229.51% 
               
               
                 21 
                 1.817 
                 1.831 
                 0.014 
                 100.75% 
                 0.300 
                 610.23% 
               
               
                 22 
                 1.800 
                 1.827 
                 0.027 
                 101.51% 
                 0.300 
                 609.03% 
               
               
                 31 
                 1.856 
                 1.861 
                 0.005 
                 100.28% 
                 0.956 
                 194.69% 
               
               
                 32 
                 2.009 
                 2.117 
                 0.108 
                 105.37% 
                 0.956 
                 221.48% 
               
               
                 41 
                 2.073 
                 2.372 
                 0.299 
                 114.43% 
                 0.683 
                 347.49% 
               
               
                 42 
                 2.320 
                 2.814 
                 0.494 
                 121.28% 
                 0.683 
                 412.20% 
               
               
                 51 
                 2.399 
                 2.867 
                 0.468 
                 119.50% 
                 1.310 
                 218.92% 
               
               
                 52 
                 3.053 
                 3.430 
                 0.376 
                 112.32% 
                 1.310 
                 261.88% 
               
               
                 61 
                 4.544 
                 4.833 
                 0.290 
                 106.37% 
                 1.710 
                 282.59% 
               
               
                 62 
                 5.214 
                 5.469 
                 0.254 
                 104.88% 
                 1.710 
                 319.73% 
               
               
                 71 
                 5.464 
                 5.613 
                 0.149 
                 102.73% 
                 0.319 
                 1757.96% 
               
               
                 72 
                 6.338 
                 6.893 
                 0.555 
                 108.75% 
                 0.319 
                 2158.95% 
               
               
                   
               
            
           
         
       
     
     The results of the equations of the sixth embodiment based on Table 11 and Table 12 are listed in the following table: 
     
       
         
           
               
             
               
                   
               
               
                 Values related to the inflection points of the sixth embodiment 
               
               
                 (Reference wavelength: 555 nm) 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                 HIF211 
                 0.8235 
                 HIF211/HOI 
                 0.1098 
                 SGI211 
                 0.0825 
                 |SGI211|/(|SGI211| + TP2) 
                 0.2158 
               
               
                 HIF221 
                 1.1073 
                 HIF221/HOI 
                 0.1476 
                 SGI221 
                 0.1658 
                 |SGI221|/(|SGI221| + TP2) 
                 0.3559 
               
               
                 HIF311 
                 1.5989 
                 HIF311/HOI 
                 0.2132 
                 SGI311 
                 0.0911 
                 |SGI311|/(|SGI311| + TP3) 
                 0.0870 
               
               
                 HIF511 
                 1.9364 
                 HIF511/HOI 
                 0.2582 
                 SGI511 
                 −1.0136 
                 |SGI511|/(|SGI511| + TP5) 
                 0.4363 
               
               
                 HIF512 
                 2.3698 
                 HIF512/HOI 
                 0.3160 
                 SGI512 
                 −1.4047 
                 |SGI512|/(|SGI512| + TP5) 
                 0.5175 
               
               
                 HIF521 
                 2.1173 
                 HIF521/HOI 
                 0.2823 
                 SGI521 
                 −0.9258 
                 |SGI521|/(|SGI521| + TP5) 
                 0.4141 
               
               
                 HIF611 
                 2.3238 
                 HIF611/HOI 
                 0.3098 
                 SGI611 
                 0.4076 
                 |SGI611|/(|SGI611| + TP6) 
                 0.1925 
               
               
                 HIF621 
                 1.248 
                 HIF621/HOI 
                 0.1665 
                 SGI621 
                 −0.1805 
                 |SGI621|/(|SGI621| + TP6) 
                 0.0955 
               
               
                 HIF622 
                 2.8784 
                 HIF622/HOI 
                 0.3838 
                 SGI622 
                 −0.3737 
                 |SGI622|/(|SGI622| + TP6) 
                 0.1793 
               
               
                 HIF721 
                 1.3346 
                 HIF721/HOI 
                 0.1779 
                 SGI721 
                 0.3101 
                 |SGI721|/(|SGI721| + TP7) 
                 0.4927 
               
               
                   
               
            
           
         
       
     
     Seventh Embodiment 
     As shown in  FIG. 7A  and  FIG. 7B , an optical image capturing system of the seventh embodiment of the present invention includes, along an optical axis from an object side to an image side, a first lens  710 , an aperture  700 , a second lens  720 , a third lens  730 , a fourth lens  740 , a fifth lens  750 , a seventh lens  760 , a seventh lens  770 , an infrared rays filter  780 , an image plane  790 , and an image sensor  792 .  FIG. 7C  is a transverse aberration diagram at 0.7 field of view of the seventh embodiment of the present application. 
     The first lens  710  has positive refractive power and is made of plastic. An object-side surface  712 , which faces the object side, is a convex aspheric surface, and an image-side surface  714 , which faces the image side, is a concave aspheric surface. 
     The second lens  720  has negative refractive power and is made of plastic. An object-side surface  722  thereof, which faces the object side, is a convex aspheric surface, and an image-side surface  724  thereof, which faces the image side, is a concave aspheric surface. The object-side surface  722  has an inflection point. 
     The third lens  730  has positive refractive power and is made of plastic. An object-side surface  732 , which faces the object side, is a concave surface, and an image-side surface  734 , which faces the image side, is a convex surface. 
     The fourth lens  740  has positive refractive power and is made of plastic. An object-side surface  742 , which faces the object side, is a concave aspheric surface, and an image-side surface  744 , which faces the image side, is a convex aspheric surface. 
     The fifth lens  750  has negative refractive power and is made of plastic. An object-side surface  752 , which faces the object side, is a concave aspheric surface, and an image-side surface  754 , which faces the image side, is a convex aspheric surface. The image-side surface  754  has an inflection point. 
     The sixth lens  760  can have positive refractive power and is made of plastic. An object-side surface  762 , which faces the object side, is a convex surface, and an image-side surface  764 , which faces the image side, is a convex surface. The object-side surface  762  has two inflection points, and the image-side surface  764  has three inflection points. Whereby, incident angle of each field of view for the sixth lens  760  can be effectively adjusted to improve aberration. 
     The seventh lens  770  has negative refractive power and is made of plastic. An object-side surface  772 , which faces the object side, is a concave aspheric surface, and an image-side surface  774 , which faces the image side, is a concave aspheric surface. The image-side surface  774  has an inflection point. It may help to shorten the back focal length to keep small in size. In addition, it may reduce an incident angle of the light of an off-axis field of view and correct the aberration of the off-axis field of view. 
     The infrared rays filter  780  is made of glass and between the seventh lens  770  and the image plane  790 . The infrared rays filter  780  gives no contribution to the focal length of the system. 
     In the seventh embodiment, the optical image capturing system of the seventh embodiment further satisfies ΣPP=51.7940 mm; and f1/ΣPP=0.2627, where ΣPP is a sum of the focal lengths of each positive lens. It is helpful to share the positive refractive power of one single lens to other positive lenses to avoid the significant aberration caused by the incident rays. 
     The optical image capturing system of the seventh embodiment further satisfies ΣNP=−123.3579 mm; and f7/ΣNP=0.0412, where ΣNP is a sum of the focal lengths of each negative lens. It is helpful to share the negative refractive power of one single lens to the other negative lenses to avoid the significant aberration caused by the incident rays. 
     The parameters of the lenses of the sixth embodiment are listed in Table 13 and Table 14. 
     
       
         
           
               
             
               
                 TABLE 13 
               
             
            
               
                   
               
               
                 f = 6.7312 mm; f/HEP = 2.4; HAF = 47.5 deg 
               
            
           
           
               
               
               
               
               
               
               
            
               
                   
                   
                   
                   
                   
                   
                 Focal 
               
               
                   
                 Radius of curvature 
                 Thickness 
                   
                 Refractive 
                 Abbe 
                 length 
               
               
                 Surface 
                 (mm) 
                 (mm) 
                 Material 
                 index 
                 number 
                 (mm) 
               
               
                   
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                 0 
                 Object 
                 plane 
                 infinity 
                   
                   
                   
                   
               
               
                 1 
                 1 st  lens 
                 4.576054873 
                 0.584 
                 plastic 
                 1.565 
                 58.00 
                 13.609 
               
               
                 2 
                   
                 10.73151703 
                 0.146 
                   
                   
                   
                   
               
               
                 3 
                 Aperture 
                 plane 
                 0.000 
                   
                   
                   
                   
               
               
                 4 
                 2 nd  lens 
                 4.349729546 
                 0.300 
                 plastic 
                 1.650 
                 21.40 
                 −78.642 
               
               
                 5 
                   
                 3.901701278 
                 0.466 
                   
                   
                   
                   
               
               
                 6 
                 3 rd  lens 
                 −105.5977355 
                 0.736 
                 plastic 
                 1.565 
                 58.00 
                 13.873 
               
               
                 7 
                   
                 −7.33624907 
                 0.600 
                   
                   
                   
                   
               
               
                 8 
                 4 th  lens 
                 −12.30461992 
                 1.093 
                 plastic 
                 1.565 
                 58.00 
                 16.081 
               
               
                 9 
                   
                 −5.404219933 
                 0.305 
                   
                   
                   
                   
               
               
                 10 
                 5 th  lens 
                 −2.042065329 
                 1.038 
                 plastic 
                 1.650 
                 21.40 
                 −39.630 
               
               
                 11 
                   
                 −2.662144583 
                 0.299 
                   
                   
                   
                   
               
               
                 12 
                 6 th  lens 
                 5.225384838 
                 1.002 
                 plastic 
                 1.565 
                 58.00 
                 8.231 
               
               
                 13 
                   
                 −40.50587392 
                 1.179 
                   
                   
                   
                   
               
               
                 14 
                 7 th  lens 
                 −5.140384905 
                 0.683 
                 plastic 
                 1.583 
                 30.20 
                 −5.086 
               
               
                 15 
                   
                 7.455490677 
                 1.000 
                   
                   
                   
                   
               
               
                 16 
                 Infrared 
                 plane 
                 0.300 
                 BK_7 
                 1.517 
                 64.2 
                   
               
               
                   
                 rays 
                   
                   
                   
                   
                   
                   
               
               
                   
                 filter 
                   
                   
                   
                   
                   
                   
               
               
                 17 
                   
                 plane 
                 0.308 
                   
                   
                   
                   
               
               
                 18 
                 Image 
                 plane 
                 0.021 
                   
                   
                   
                   
               
               
                   
                 plane 
               
               
                   
               
               
                 Reference wavelength (d-line): 555 nm. 
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 14 
               
               
                   
               
               
                 Coefficients of the aspheric surfaces 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
            
               
                   
                 Surface 
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                   
                 1 
                 2 
                 4 
                 5 
                 6 
                 7 
                 8 
               
               
                   
               
               
                 k 
                 3.983741E−01 
                 −4.897919E+01 
                 −1.346812E+01 
                 1.709440E+00 
                 2.796516E+01 
                 1.348422E+01 
                 3.002689E+01 
               
               
                 A4 
                 2.913392E−03 
                 −1.075801E−03 
                 −4.722246E−03 
                 −2.157240E−02 
                 −1.142048E−02 
                 −1.289707E−02 
                 −1.813933E−02 
               
               
                 A6 
                 1.441858E−04 
                 3.517095E−03 
                 −1.071444E−03 
                 −1.504717E−04 
                 −2.380434E−03 
                 −2.113505E−03 
                 −1.073421E−03 
               
               
                 A8 
                 3.444720E−04 
                 −6.440188E−04 
                 5.560008E−04 
                 6.756521E−04 
                 1.308695E−04 
                 6.047950E−04 
                 −1.864017E−04 
               
               
                 A10 
                 −5.586964E−05 
                 −2.956724E−04 
                 −2.875384E−04 
                 −2.753827E−04 
                 −7.922573E−04 
                 −4.718839E−04 
                 2.914704E−05 
               
               
                 A12 
                 −2.288119E−05 
                 1.964145E−04 
                 5.202399E−05 
                 −3.828904E−05 
                 2.490353E−04 
                 1.789349E−04 
                 −3.549875E−06 
               
               
                 A14 
                 1.485701E−05 
                 −3.377318E−05 
                 3.415657E−07 
                 3.001792E−05 
                 −2.851243E−05 
                 −4.586750E−05 
                 −3.256825E−06 
               
               
                 A16 
                 −1.930238E−06 
                 3.169793E−07 
                 −1.357556E−07 
                 −1.415328E−07 
                 1.559500E−07 
                 7.552034E−06 
                 1.187434E−06 
               
               
                   
               
            
           
           
               
               
            
               
                   
                 Surface 
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                   
                 9 
                 10 
                 11 
                 12 
                 13 
                 14 
                 15 
               
               
                   
               
               
                 k 
                 1.878477E+00 
                 −4.254837E−01 
                 −5.629283E−01 
                 −1.475158E+00 
                 4.334642E+01 
                 −7.079531E−03 
                 −5.361072E+00 
               
               
                 A4 
                 −1.091857E−02 
                 2.799566E−02 
                 1.213832E−02 
                 −1.093232E−02 
                 −8.871208E−03 
                 −5.211838E−03 
                 −4.787415E−03 
               
               
                 A6 
                 −9.800727E−04 
                 −5.491994E−03 
                 −2.342425E−03 
                 1.697719E−03 
                 2.900021E−03 
                 1.558862E−03 
                 4.143097E−04 
               
               
                 A8 
                 −1.534843E−04 
                 1.122697E−03 
                 5.035552E−04 
                 −2.142729E−04 
                 −3.845059E−04 
                 −1.638382E−04 
                 −2.918764E−05 
               
               
                 A10 
                 −3.106815E−05 
                 −1.115266E−04 
                 −4.841164E−05 
                 1.249698E−05 
                 2.474663E−05 
                 9.868077E−06 
                 1.306532E−06 
               
               
                 A12 
                 1.443849E−05 
                 1.182262E−05 
                 3.361279E−06 
                 −3.643681E−07 
                 −8.481899E−07 
                 −3.373650E−07 
                 −3.618409E−08 
               
               
                 A14 
                 −2.111326E−06 
                 −8.161698E−07 
                 −1.486190E−07 
                 6.388407E−09 
                 1.491450E−08 
                 5.996697E−09 
                 5.531837E−10 
               
               
                 A16 
                 6.795226E−08 
                 5.681613E−08 
                 2.219835E−09 
                 −7.002687E−11 
                 −1.033092E−10 
                 −4.078697E−11 
                 −3.615103E−12 
               
               
                   
               
            
           
         
       
     
     An equation of the aspheric surfaces of the seventh embodiment is the same as that of the first embodiment, and the definitions are the same as well. 
     The exact parameters of the seventh embodiment based on Table 13 and Table 14 are listed in the following table: 
     
       
         
           
               
             
               
                   
               
               
                 Seventh embodiment (Reference wavelength: 555 nm) 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 |f/f1| 
                 |f/f2| 
                 |f/f3| 
                 |f/f4| 
                 |f/f5| 
                 |f/f6| 
               
               
                   
               
               
                 0.4946 
                 0.0856 
                 0.4852 
                 0.4186 
                 0.1699 
                 0.8178 
               
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 |f/f7| 
                 ΣPPR 
                 ΣNPR 
                 ΣPPR/|ΣNPR| 
                 IN12/f 
                 IN67/f 
               
               
                   
               
               
                 1.3235 
                 2.2162 
                 1.5790 
                 1.4036 
                 0.0218 
                 0.1752 
               
               
                   
               
            
           
           
               
               
               
               
            
               
                 |f1/f2| 
                 |f2/f3| 
                 (TP1 + IN12)/TP2 
                 (TP7 + IN67)/TP6 
               
               
                   
               
               
                 0.1730 
                 5.6689 
                 2.4355 
                 1.8583 
               
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 HOS 
                 InTL 
                 HOS/HOI 
                 InS/HOS 
                 ODT % 
                 TDT % 
               
               
                   
               
               
                 10.0613 
                 8.4321 
                 1.3415 
                 0.9274 
                 1.9205 
                 1.0066 
               
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 HVT11 
                 HVT12 
                 HVT21 
                 HVT22 
                 HVT31 
                 HVT32 
               
               
                   
               
               
                 0.0000 
                 0.0000 
                 0.0000 
                 0.0000 
                 0.0000 
                 0.0000 
               
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 HVT61 
                 HVT62 
                 HVT71 
                 HVT72 
                 HVT72/HOI 
                 HVT72/HOS 
               
               
                   
               
               
                 2.7883 
                 0.0000 
                 0.0000 
                 3.5682 
                 0.4758 
                 0.3546 
               
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 PSTA 
                 PLTA 
                 NSTA 
                 NLTA 
                 SSTA 
                 SLTA 
               
               
                   
               
               
                 0.009 
                 −0.00016 mm 
                 0.002 mm 
                 0.002 mm 
                 0.004 mm 
                 0.002 mm 
               
               
                 mm 
               
               
                   
               
            
           
         
       
     
     The figures related to the profile curve lengths obtained based on Table 13 and Table 14 are listed in the following table: 
     
       
         
           
               
             
               
                   
               
               
                 Seventh embodiment (Reference wavelength: 555 nm) 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
               
            
               
                 ARE 
                 ½(HEP) 
                 ARE value 
                 ARE − ½(HEP) 
                 2(ARE/HEP) % 
                 TP 
                 ARE/TP (%) 
               
               
                   
               
               
                 11 
                 1.402 
                 1.430 
                 0.027 
                 101.95% 
                 0.584 
                 244.74% 
               
               
                 12 
                 1.402 
                 1.406 
                 0.004 
                 100.26% 
                 0.584 
                 240.66% 
               
               
                 21 
                 1.402 
                 1.412 
                 0.010 
                 100.70% 
                 0.300 
                 470.74% 
               
               
                 22 
                 1.402 
                 1.419 
                 0.017 
                 101.18% 
                 0.300 
                 472.95% 
               
               
                 31 
                 1.402 
                 1.408 
                 0.006 
                 100.40% 
                 0.736 
                 191.40% 
               
               
                 32 
                 1.402 
                 1.431 
                 0.028 
                 102.02% 
                 0.736 
                 194.48% 
               
               
                 41 
                 1.402 
                 1.420 
                 0.018 
                 101.27% 
                 1.093 
                 129.98% 
               
               
                 42 
                 1.402 
                 1.433 
                 0.031 
                 102.21% 
                 1.093 
                 131.19% 
               
               
                 51 
                 1.402 
                 1.487 
                 0.084 
                 106.02% 
                 1.038 
                 143.29% 
               
               
                 52 
                 1.402 
                 1.456 
                 0.054 
                 103.82% 
                 1.038 
                 140.32% 
               
               
                 61 
                 1.402 
                 1.413 
                 0.010 
                 100.72% 
                 1.002 
                 140.92% 
               
               
                 62 
                 1.402 
                 1.403 
                 0.001 
                 100.04% 
                 1.002 
                 139.97% 
               
               
                 71 
                 1.402 
                 1.422 
                 0.020 
                 101.42% 
                 0.683 
                 208.11% 
               
               
                 72 
                 1.402 
                 1.408 
                 0.005 
                 100.37% 
                 0.683 
                 205.97% 
               
               
                   
               
               
                 ARS 
                 EHD 
                 ARS value 
                 ARS − EHD 
                 (ARS/EHD) % 
                 TP 
                 ARS/TP (%) 
               
               
                   
               
               
                 11 
                 1.709 
                 1.768 
                 0.059 
                 103.47% 
                 0.584 
                 302.72% 
               
               
                 12 
                 1.447 
                 1.451 
                 0.004 
                 100.27% 
                 0.584 
                 248.45% 
               
               
                 21 
                 1.459 
                 1.470 
                 0.011 
                 100.72% 
                 0.300 
                 489.91% 
               
               
                 22 
                 1.578 
                 1.598 
                 0.020 
                 101.29% 
                 0.300 
                 532.77% 
               
               
                 31 
                 1.632 
                 1.656 
                 0.024 
                 101.48% 
                 0.736 
                 225.12% 
               
               
                 32 
                 1.887 
                 2.054 
                 0.167 
                 108.85% 
                 0.736 
                 279.17% 
               
               
                 41 
                 2.155 
                 2.388 
                 0.233 
                 110.79% 
                 1.093 
                 218.57% 
               
               
                 42 
                 2.436 
                 3.098 
                 0.662 
                 127.17% 
                 1.093 
                 283.58% 
               
               
                 51 
                 2.539 
                 2.937 
                 0.398 
                 115.66% 
                 1.038 
                 283.03% 
               
               
                 52 
                 3.190 
                 3.437 
                 0.247 
                 107.75% 
                 1.038 
                 331.25% 
               
               
                 61 
                 4.464 
                 4.617 
                 0.154 
                 103.45% 
                 1.002 
                 460.69% 
               
               
                 62 
                 4.688 
                 4.864 
                 0.176 
                 103.75% 
                 1.002 
                 485.27% 
               
               
                 71 
                 4.734 
                 5.252 
                 0.518 
                 110.93% 
                 0.683 
                 768.47% 
               
               
                 72 
                 6.170 
                 6.812 
                 0.642 
                 110.41% 
                 0.683 
                 996.84% 
               
               
                   
               
            
           
         
       
     
     The results of the equations of the seventh embodiment based on Table 13 and Table 14 are listed in the following table: 
     
       
         
           
               
             
               
                   
               
               
                 Values related to the inflection points of the seventh embodiment 
               
               
                 (Reference wavelength: 555 nm) 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                 HIF211 
                 1.0924 
                 HIF211/HOI 
                 0.1457 
                 SGI211 
                 0.1095 
                 |SGI211|/(|SGI211| + TP2) 
                 0.2673 
               
               
                 HIF521 
                 2.1002 
                 HIF521/HOI 
                 0.2800 
                 SGI521 
                 −0.7289 
                 |SGI521|/(|SGI521| + TP5) 
                 0.4126 
               
               
                 HIF611 
                 1.7227 
                 HIF611/HOI 
                 0.2297 
                 SGI611 
                 0.2145 
                 |SGI611|/(|SGI611| + TP6) 
                 0.1763 
               
               
                 HIF612 
                 3.9127 
                 HIF612/HOI 
                 0.5217 
                 SGI612 
                 0.0038 
                 |SGI612|/(|SGI612| + TP6) 
                 0.0038 
               
               
                 HIF621 
                 1.6536 
                 HIF621/HOI 
                 0.2205 
                 SGI621 
                 −0.0595 
                 |SGI621|/(|SGI621| + TP6) 
                 0.0560 
               
               
                 HIF622 
                 2.2525 
                 HIF622/HOI 
                 0.3003 
                 SGI622 
                 −0.0994 
                 |SGI622|/(|SGI622| + TP6) 
                 0.0902 
               
               
                 HIF623 
                 4.2291 
                 HIF623/HOI 
                 0.5639 
                 SGI623 
                 −0.6719 
                 |SGI623|/(|SGI623| + TP6) 
                 0.4013 
               
               
                 HIF721 
                 1.7490 
                 HIF721/HOI 
                 0.2332 
                 SGI721 
                 0.1590 
                 |SGI721|/(|SGI721| + TP7) 
                 0.1887 
               
               
                   
               
            
           
         
       
     
     Eighth Embodiment 
     As shown in  FIG. 8A  and  FIG. 8B , an optical image capturing system of the eighth embodiment of the present invention includes, along an optical axis from an object side to an image side, a first lens  810 , an aperture  800 , a second lens  820 , a third lens  830 , a fourth lens  840 , a fifth lens  850 , a seventh lens  860 , a seventh lens  870 , an infrared rays filter  880 , an image plane  890 , and an image sensor  892 .  FIG. 8C  is a transverse aberration diagram at 0.7 field of view of the eighth embodiment of the present application. 
     The first lens  810  has positive refractive power and is made of plastic. An object-side surface  812 , which faces the object side, is a convex aspheric surface, and an image-side surface  814 , which faces the image side, is a concave aspheric surface. 
     The second lens  820  has negative refractive power and is made of plastic. An object-side surface  822  thereof, which faces the object side, is a convex aspheric surface, and an image-side surface  824  thereof, which faces the image side, is a concave aspheric surface. The object-side surface  822  and the image-side surface  824  both have an inflection point. 
     The third lens  830  has positive refractive power and is made of plastic. An object-side surface  832 , which faces the object side, is a convex aspheric surface, and an image-side surface  834 , which faces the image side, is a convex aspheric surface. The object-side surface  832  has an inflection point. 
     The fourth lens  840  has positive refractive power and is made of plastic. An object-side surface  842 , which faces the object side, is a concave aspheric surface, and an image-side surface  844 , which faces the image side, is a convex aspheric surface. The object-side surface  842  and the image-side surface  844  both have an inflection point. 
     The fifth lens  850  has negative refractive power and is made of plastic. An object-side surface  852 , which faces the object side, is a concave aspheric surface, and an image-side surface  854 , which faces the image side, is a convex aspheric surface. The image-side surface  854  has an inflection point. 
     The sixth lens  860  can have positive refractive power and is made of plastic. An object-side surface  862 , which faces the object side, is a convex surface, and an image-side surface  864 , which faces the image side, is a convex surface. The object-side surface  862  and the image-side surface  864  both have two inflection points. Whereby, incident angle of each field of view for the sixth lens  860  can be effectively adjusted to improve aberration. 
     The seventh lens  870  has negative refractive power and is made of plastic. An object-side surface  872 , which faces the object side, is a concave surface, and an image-side surface  874 , which faces the image side, is a concave surface. The image-side surface  874  has an inflection point. It may help to shorten the back focal length to keep small in size. In addition, it may reduce an incident angle of the light of an off-axis field of view and correct the aberration of the off-axis field of view. 
     The infrared rays filter  880  is made of glass and between the seventh lens  870  and the image plane  890 . The infrared rays filter  880  gives no contribution to the focal length of the system. 
     In the eighth embodiment, the optical image capturing system of the seventh embodiment further satisfies ΣPP=58.8575 mm; and f1/ΣPP=0.2270, where ΣPP is a sum of the focal lengths of each positive lens. It is helpful to share the positive refractive power of one single lens to other positive lenses to avoid the significant aberration caused by the incident rays. 
     The optical image capturing system of the eighth embodiment further satisfies ΣNP=−151.0523 mm; and f7/ΣNP=0.0333, where ΣNP is a sum of the focal lengths of each negative lens. It is helpful to share the negative refractive power of one single lens to the other negative lenses to avoid the significant aberration caused by the incident rays. 
     The parameters of the lenses of the sixth embodiment are listed in Table 15 and Table 16. 
     
       
         
           
               
             
               
                 TABLE 15 
               
             
            
               
                   
               
               
                 f = 6.7652 mm; f/HEP = 2.8; HAF = 47.4999 deg 
               
            
           
           
               
               
               
               
               
               
               
            
               
                   
                   
                   
                   
                   
                   
                 Focal 
               
               
                   
                 Radius of curvature 
                 Thickness 
                   
                 Refractive 
                 Abbe 
                 length 
               
               
                 Surface 
                 (mm) 
                 (mm) 
                 Material 
                 index 
                 number 
                 (mm) 
               
               
                   
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                 0 
                 Object 
                 plane 
                 infinity 
                   
                   
                   
                   
               
               
                 1 
                 1 st  lens 
                 3.971861976 
                 0.704 
                 plastic 
                 1.543 
                 56.50 
                 13.358 
               
               
                 2 
                   
                 8.198255892 
                 0.329 
                   
                   
                   
                   
               
               
                 3 
                 Aperture 
                 plane 
                 0.026 
                   
                   
                   
                   
               
               
                 4 
                 2 nd  lens 
                 5.77169029 
                 0.300 
                 plastic 
                 1.650 
                 21.40 
                 −44.180 
               
               
                 5 
                   
                 4.713442648 
                 0.215 
                   
                   
                   
                   
               
               
                 6 
                 3 rd  lens 
                 94.59884361 
                 0.616 
                 plastic 
                 1.543 
                 56.50 
                 11.105 
               
               
                 7 
                   
                 −6.447953968 
                 0.557 
                   
                   
                   
                   
               
               
                 8 
                 4 th  lens 
                 −8.179862942 
                 0.829 
                 plastic 
                 1.565 
                 58.00 
                 25.453 
               
               
                 9 
                   
                 −5.411402961 
                 0.433 
                   
                   
                   
                   
               
               
                 10 
                 5 th  lens 
                 −2.026486659 
                 0.924 
                 plastic 
                 1.650 
                 21.40 
                 −101.838 
               
               
                 11 
                   
                 −2.467389187 
                 0.312 
                   
                   
                   
                   
               
               
                 12 
                 6 th  lens 
                 5.633670908 
                 1.253 
                 plastic 
                 1.543 
                 56.50 
                 8.941 
               
               
                 13 
                   
                 −33.15343005 
                 1.113 
                   
                   
                   
                   
               
               
                 14 
                 7 th  lens 
                 −5.076660311 
                 0.722 
                 plastic 
                 1.607 
                 26.60 
                 −5.035 
               
               
                 15 
                   
                 8.230543784 
                 1.000 
                   
                   
                   
                   
               
               
                 16 
                 Infrared 
                 plane 
                 0.300 
                 BK_7 
                 1.517 
                 64.2 
                   
               
               
                   
                 rays 
                   
                   
                   
                   
                   
                   
               
               
                   
                 filter 
                   
                   
                   
                   
                   
                   
               
               
                 17 
                   
                 plane 
                 0.205 
                   
                   
                   
                   
               
               
                 18 
                 Image 
                 plane 
                 0.017 
                   
                   
                   
                   
               
               
                   
                 plane 
               
               
                   
               
               
                 Reference wavelength (d-line): 555 nm. 
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 16 
               
               
                   
               
               
                 Coefficients of the aspheric surfaces 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
            
               
                   
                 Surface 
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                   
                 1 
                 2 
                 4 
                 5 
                 6 
                 7 
                 8 
               
               
                   
               
               
                 k 
                 5.195598E−01 
                 −1.128183E+01 
                 −1.943087E+01 
                 3.467668E−01 
                 −5.000000E+01 
                 1.338720E+01 
                 1.761403E+01 
               
               
                 A4 
                 2.356299E−03 
                 2.397565E−03 
                 −1.680699E−02 
                 −2.546780E−02 
                 −7.060172E−03 
                 −1.007863E−02 
                 −2.355210E−02 
               
               
                 A6 
                 6.485149E−04 
                 1.229684E−03 
                 −2.729378E−03 
                 −3.136590E−03 
                 −2.003546E−03 
                 −1.218487E−03 
                 −9.785530E−04 
               
               
                 A8 
                 1.170764E−04 
                 2.918717E−04 
                 −2.459869E−04 
                 1.932658E−03 
                 −2.237902E−03 
                 7.543922E−04 
                 −1.852033E−04 
               
               
                 A10 
                 3.039274E−05 
                 −1.491091E−04 
                 5.676525E−04 
                 −1.058044E−03 
                 1.435439E−04 
                 −7.355860E−04 
                 −1.348843E−04 
               
               
                 A12 
                 6.643196E−07 
                 −4.266383E−05 
                 −7.384056E−05 
                 1.268094E−04 
                 4.255759E−04 
                 2.634268E−04 
                 −1.539980E−05 
               
               
                 A14 
                 −2.883111E−06 
                 9.237416E−05 
                 −1.409057E−05 
                 4.839477E−05 
                 −2.015694E−04 
                 2.011329E−05 
                 1.121679E−05 
               
               
                 A16 
                 1.624359E−06 
                 −2.281995E−05 
                 −1.202828E−05 
                 3.364385E−06 
                 1.861152E−05 
                 −3.268269E−06 
                 5.139585E−06 
               
               
                   
               
            
           
           
               
               
            
               
                   
                 Surface 
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                   
                 9 
                 10 
                 11 
                 12 
                 13 
                 14 
                 15 
               
               
                   
               
               
                 k 
                 4.494834E+00 
                 −2.599360E−01 
                 −5.817157E−01 
                 −1.432572E+00 
                 3.780652E+01 
                 −3.317069E−02 
                 −5.648669E+00 
               
               
                 A4 
                 −1.496778E−02 
                 2.840014E−02 
                 1.192087E−02 
                 −1.085707E−02 
                 −8.701398E−03 
                 −5.652365E−03 
                 −5.333227E−03 
               
               
                 A6 
                 −1.207485E−03 
                 −5.261084E−03 
                 −2.232665E−03 
                 1.702507E−03 
                 2.912311E−03 
                 1.558055E−03 
                 4.182781E−04 
               
               
                 A8 
                 −1.928552E−04 
                 1.084879E−03 
                 5.252541E−04 
                 −2.142161E−04 
                 −3.841236E−04 
                 −1.631492E−04 
                 −2.906249E−05 
               
               
                 A10 
                 −7.621215E−05 
                 −9.710755E−05 
                 −4.639259E−05 
                 1.251520E−05 
                 2.474808E−05 
                 9.896558E−06 
                 1.305194E−06 
               
               
                 A12 
                 1.195672E−05 
                 1.741965E−05 
                 3.509831E−06 
                 −3.632770E−07 
                 −8.486325E−07 
                 −3.366865E−07 
                 −3.626114E−08 
               
               
                 A14 
                 −8.617708E−07 
                 7.804099E−08 
                 −1.504508E−07 
                 6.388220E−09 
                 1.487244E−08 
                 5.983719E−09 
                 5.528456E−10 
               
               
                 A16 
                 2.229654E−07 
                 −1.196294E−08 
                 −2.297951E−09 
                 −7.540487E−11 
                 −1.059054E−10 
                 −4.339767E−11 
                 −3.536156E−12 
               
               
                   
               
            
           
         
       
     
     An equation of the aspheric surfaces of the eighth embodiment is the same as that of the first embodiment, and the definitions are the same as well. 
     The exact parameters of the eighth embodiment based on Table 15 and Table 16 are listed in the following table: 
     
       
         
           
               
             
               
                   
               
               
                 Eighth embodiment (Reference wavelength: 555 nm) 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 |f/f1| 
                 |f/f2| 
                 |f/f3| 
                 |f/f4| 
                 |f/f5| 
                 |f/f6| 
               
               
                   
               
               
                 0.5065 
                 0.1531 
                 0.6092 
                 0.2658 
                 0.0664 
                 0.7566 
               
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 |f/f7| 
                 ΣPPR 
                 ΣNPR 
                 ΣPPR/|ΣNPR| 
                 IN12/f 
                 IN67/f 
               
               
                   
               
               
                 1.3438 
                 2.1381 
                 1.5633 
                 1.3676 
                 0.0525 
                 0.1645 
               
               
                   
               
            
           
           
               
               
               
               
            
               
                 |f1/f2| 
                 |f2/f3| 
                 (TP1 + IN12)/TP2 
                 (TP7 + IN67)/TP6 
               
               
                   
               
               
                 0.3024 
                 3.9784 
                 3.5329 
                 1.4635 
               
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 HOS 
                 InTL 
                 HOS/HOI 
                 InS/HOS 
                 ODT % 
                 TDT % 
               
               
                   
               
               
                 9.8561 
                 8.3336 
                 1.3142 
                 0.8951 
                 1.4318 
                 1.0977 
               
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 HVT11 
                 HVT12 
                 HVT21 
                 HVT22 
                 HVT31 
                 HVT32 
               
               
                   
               
               
                 0.0000 
                 0.0000 
                 0.0000 
                 0.0000 
                 0.5599 
                 0.0000 
               
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 HVT61 
                 HVT62 
                 HVT71 
                 HVT72 
                 HVT72/HOI 
                 HVT72/HOS 
               
               
                   
               
               
                 2.7508 
                 0.0000 
                 0.0000 
                 3.0221 
                 0.4029 
                 0.3066 
               
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 PSTA 
                 PLTA 
                 NSTA 
                 NLTA 
                 SSTA 
                 SLTA 
               
               
                   
               
               
                 0.003 mm 
                 −0.001 mm 
                 0.002 mm 
                 0.002 mm 
                 0.004 mm 
                 0.002 mm 
               
               
                   
               
            
           
         
       
     
     The figures related to the profile curve lengths obtained based on Table 15 and Table 16 are listed in the following table: 
     
       
         
           
               
             
               
                   
               
               
                 Eighth embodiment (Reference wavelength: 555 nm) 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
               
            
               
                 ARE 
                 ½(HEP) 
                 ARE value 
                 ARE − ½(HEP) 
                 2(ARE/HEP) % 
                 TP 
                 ARE/TP (%) 
               
               
                   
               
               
                 11 
                 1.208 
                 1.230 
                 0.022 
                 101.82% 
                 0.704 
                 174.62% 
               
               
                 12 
                 1.208 
                 1.213 
                 0.005 
                 100.41% 
                 0.704 
                 172.20% 
               
               
                 21 
                 1.203 
                 1.204 
                 0.001 
                 100.12% 
                 0.300 
                 401.37% 
               
               
                 22 
                 1.208 
                 1.213 
                 0.005 
                 100.38% 
                 0.300 
                 404.22% 
               
               
                 31 
                 1.208 
                 1.209 
                 0.001 
                 100.05% 
                 0.616 
                 196.36% 
               
               
                 32 
                 1.208 
                 1.223 
                 0.015 
                 101.27% 
                 0.616 
                 198.75% 
               
               
                 41 
                 1.208 
                 1.224 
                 0.016 
                 101.35% 
                 0.829 
                 147.71% 
               
               
                 42 
                 1.208 
                 1.229 
                 0.020 
                 101.69% 
                 0.829 
                 148.21% 
               
               
                 51 
                 1.208 
                 1.268 
                 0.060 
                 104.94% 
                 0.924 
                 137.14% 
               
               
                 52 
                 1.208 
                 1.250 
                 0.042 
                 103.49% 
                 0.924 
                 135.25% 
               
               
                 61 
                 1.208 
                 1.214 
                 0.006 
                 100.51% 
                 1.253 
                 96.89% 
               
               
                 62 
                 1.208 
                 1.209 
                 0.001 
                 100.05% 
                 1.253 
                 96.44% 
               
               
                 71 
                 1.208 
                 1.221 
                 0.013 
                 101.09% 
                 0.722 
                 169.23% 
               
               
                 72 
                 1.208 
                 1.211 
                 0.003 
                 100.25% 
                 0.722 
                 167.82% 
               
               
                   
               
               
                 ARS 
                 EHD 
                 ARS value 
                 ARS − EHD 
                 (ARS/EHD) % 
                 TP 
                 ARS/TP (%) 
               
               
                   
               
               
                 11 
                 1.847 
                 1.974 
                 0.127 
                 106.89% 
                 0.704 
                 280.21% 
               
               
                 12 
                 1.525 
                 1.538 
                 0.013 
                 100.84% 
                 0.704 
                 218.35% 
               
               
                 21 
                 1.203 
                 1.204 
                 0.001 
                 100.12% 
                 0.300 
                 401.37% 
               
               
                 22 
                 1.365 
                 1.369 
                 0.004 
                 100.29% 
                 0.300 
                 456.26% 
               
               
                 31 
                 1.419 
                 1.422 
                 0.004 
                 100.27% 
                 0.616 
                 231.09% 
               
               
                 32 
                 1.631 
                 1.699 
                 0.068 
                 104.16% 
                 0.616 
                 275.95% 
               
               
                 41 
                 1.841 
                 2.007 
                 0.165 
                 108.99% 
                 0.829 
                 242.07% 
               
               
                 42 
                 2.105 
                 2.538 
                 0.433 
                 120.58% 
                 0.829 
                 306.23% 
               
               
                 51 
                 2.228 
                 2.585 
                 0.358 
                 116.06% 
                 0.924 
                 279.70% 
               
               
                 52 
                 2.886 
                 3.141 
                 0.255 
                 108.85% 
                 0.924 
                 339.79% 
               
               
                 61 
                 4.406 
                 4.546 
                 0.140 
                 103.17% 
                 1.253 
                 362.72% 
               
               
                 62 
                 4.757 
                 5.029 
                 0.272 
                 105.72% 
                 1.253 
                 401.28% 
               
               
                 71 
                 4.793 
                 5.361 
                 0.568 
                 111.86% 
                 0.722 
                 742.98% 
               
               
                 72 
                 6.060 
                 6.698 
                 0.638 
                 110.52% 
                 0.722 
                 928.17% 
               
               
                   
               
            
           
         
       
     
     The results of the equations of the seventh embodiment based on Table 15 and Table 16 are listed in the following table: 
     
       
         
           
               
             
               
                   
               
               
                 Values related to the inflection points of the eighth embodiment 
               
               
                 (Reference wavelength: 555 nm) 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                 HIF211 
                 0.7069 
                 HIF211/HOI 
                 0.0943 
                 SGI211 
                 0.0361 
                 |SGI211|/(|SGI211| + TP2) 
                 0.1074 
               
               
                 HIF221 
                 0.8103 
                 HIF221/HOI 
                 0.1080 
                 SGI221 
                 0.0587 
                 |SGI221|/(|SGI221| + TP2) 
                 0.1637 
               
               
                 HIF311 
                 0.3368 
                 HIF311/HOI 
                 0.0449 
                 SGI311 
                 0.0005 
                 |SGI311|/(|SGI311| + TP3) 
                 0.0008 
               
               
                 HIF521 
                 1.9895 
                 HIF521/HOI 
                 0.2653 
                 SGI521 
                 −0.7223 
                 |SGI521|/(|SGI521| + TP5) 
                 0.4387 
               
               
                 HIF611 
                 1.6840 
                 HIF611/HOI 
                 0.2245 
                 SGI611 
                 0.1891 
                 |SGI611|/(|SGI611| + TP6) 
                 0.1311 
               
               
                 HIF612 
                 3.9045 
                 HIF612/HOI 
                 0.5206 
                 SGI612 
                 −0.0249 
                 |SGI612|/(|SGI612| + TP6) 
                 0.0195 
               
               
                 HIF621 
                 1.6440 
                 HIF621/HOI 
                 0.2192 
                 SGI621 
                 −0.0651 
                 |SGI621|/(|SGI621| + TP6) 
                 0.0494 
               
               
                 HIF622 
                 2.3170 
                 HIF622/HOI 
                 0.3089 
                 SGI622 
                 −0.1126 
                 |SGI622|/(|SGI622| + TP6) 
                 0.0824 
               
               
                 HIF721 
                 1.5156 
                 HIF721/HOI 
                 0.2021 
                 SGI721 
                 0.1106 
                 |SGI721|/(|SGI721| + TP7) 
                 0.1329 
               
               
                   
               
            
           
         
       
     
     It must be pointed out that the embodiments described above are only some embodiments of the present invention. All equivalent structures which employ the concepts disclosed in this specification and the appended claims should fall within the scope of the present invention.