Patent Publication Number: US-9835831-B2

Title: Optical image capturing system

Description:
The current application claims a foreign priority to application number 104131560 filed on Sep. 24, 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. 
     A modulation transfer function (MTF) graph of an optical image capturing system is used to test and evaluate the contrast and sharpness of the generated images. The vertical axis of the coordinate system of the MTF graph represents the contrast transfer rate, of which the value is between 0 and 1, and the horizontal axis of the coordinate system represents the spatial frequency, of which the unit is cycles/mm or lp/mm, i.e., line pairs per millimeter. Theoretically, a perfect optical image capturing system can present all detailed contrast and every line of an object in an image. However, the contrast transfer rate of a practical optical image capturing system along a vertical axis thereof would be less than 1. In addition, peripheral areas in an image would have a poorer realistic effect than a center area thereof has. For visible spectrum, the values of MTF in the spatial frequency of 55 cycles/mm at the optical axis, 0.3 field of view, and 0.7 field of view on an image plane are respectively denoted by MTFE0, MTFE3, and MTFE7; the values of MTF in the spatial frequency of 110 cycles/mm at the optical axis, 0.3 field of view, and 0.7 field of view on an image plane are respectively denoted by MTFQ0, MTFQ3, and MTFQ7; the values of MTF in the spatial frequency of 220 cycles/mm at the optical axis, 0.3 field of view, and 0.7 field of view on an image plane are respectively denoted by MTFH0, MTFH3, and MTFH7; the values of MTF in the spatial frequency of 440 cycles/mm at the optical axis, 0.3 field of view, and 0.7 field of view on the image plane are respectively denoted by MTF0, MTF3, and MTF7. The three aforementioned fields of view respectively represent the center, the inner field of view, and the outer field of view of a lens, and, therefore, can be used to evaluate the performance of an optical image capturing system. If the optical image capturing system provided in the present invention corresponds to photosensitive components which provide pixels having a size no large than 1.12 micrometer, a quarter of the spatial frequency, a half of the spatial frequency (half frequency), and the full spatial frequency (full frequency) of the MTF diagram are respectively at least 110 cycles/mm, 220 cycles/mm and 440 cycles/mm. 
     If an optical image capturing system is required to be able also to image for infrared spectrum, e.g., to be used in low-light environments, then the optical image capturing system should be workable in wavelengths of 850 nm or 800 nm. Since the main function for an optical image capturing system used in low-light environment is to distinguish the shape of objects by light and shade, which does not require high resolution, it is appropriate to only use spatial frequency less than 110 cycles/mm for evaluating the performance of optical image capturing system in the infrared spectrum. When the aforementioned wavelength of 850 nm focuses on the image plane, the contrast transfer rates (i.e., the values of MTF) in spatial frequency of 55 cycles/mm at the optical axis, 0.3 field of view, and 0.7 field of view on an image plane are respectively denoted by MTFI0, MTFI3, and MTFI7. However, infrared wavelengths of 850 nm or 800 nm are far away from the wavelengths of visible light; it would be difficult to design an optical image capturing system capable of focusing visible and infrared light (i.e., dual-mode) at the same time and achieving certain performance. 
     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:
 
1.2≦ f/HEP≦ 10.0; and 0.5≦ SETP/STP&lt; 1;
 
     where f1, f2, f3, f4, f5, f6, and f7 are respectively a focal length 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 between a point on an object-side surface, which face the object side, of the first lens where the optical axis passes through and a point on the image plane where the optical axis passes through; ETP1, ETP2, ETP3, ETP4, ETP5, ETP6, and ETP7 are respectively a thickness in parallel with the optical axis at a height of ½ HEP of the first lens to the seventh lens, wherein SETP is a sum of the aforementioned ETP1 to ETP7; TP1, TP2, TP3, TP4, TP5, TP6, and TP7 are respectively a thickness at the optical axis of the first lens to the seventh lens, wherein STP is a sum of the aforementioned TP1 to TP7. 
     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 positive refractive power, wherein the object-side surface thereof can be convex near the optical axis. 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, and the object-side surface and the image-side surface thereof are both aspheric. Each lens 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. At least one lens between the second lens and the seventh lens has positive refractive power. The optical image capturing system satisfies:
 
1.2≦ f/HEP≦ 10.0; and 0.2≦ EIN/ETL&lt; 1;
 
     where f1, f2, f3, f4, f5, f6, and f7 are respectively a focal length 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 between a point on an object-side surface, which face the object side, of the first lens where the optical axis passes through and a point on the image plane where the optical axis passes through; ETL is a distance in parallel with the optical axis between a coordinate point at a height of ½ HEP on the object-side surface of the first lens and the image plane; EIN is a distance in parallel with the optical axis between the coordinate point at the height of ½ HEP on the object-side surface of the first lens and a coordinate point at a height of ½ HEP on the image-side surface of the seventh lens. 
     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 lens of at least two lenses among the first to the seventh lenses have at least an inflection point on at least one surface thereof. The first lens has positive refractive power, and the second lens has negative 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, and the object-side surface and the image-side surface thereof are both aspheric. The optical image capturing system satisfies:
 
1.2≦ f/HEP≦ 3.5; 0.4≦| tan( HAF )|≦6.0; and 0.2≦ EIN/ETL&lt; 1;
 
     where f1, f2, f3, f4, f5, f6, and f7 are respectively a focal length 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; HAF is a half of the maximum field angle of the optical image capturing system; HOS is a distance between a point on an object-side surface, which face the object side, of the first lens where the optical axis passes through and a point on the image plane where the optical axis passes through; ETL is a distance in parallel with the optical axis between a coordinate point at a height of ½ HEP on the object-side surface of the first lens and the image plane; EIN is a distance in parallel with the optical axis between the coordinate point at the height of ½ HEP on the object-side surface of the first lens and a coordinate point at a height of ½ HEP on the image-side surface of the seventh lens. 
     For any lens, the thickness at the height of a half of the entrance pupil diameter (HEP) particularly affects the ability of correcting aberration and differences between optical paths of light in different fields of view of the common region of each field of view of light within the covered range at the height of a half of the entrance pupil diameter (HEP). With greater thickness, the ability to correct aberration is better. However, the difficulty of manufacturing increases as well. Therefore, the thickness at the height of a half of the entrance pupil diameter (HEP) of any lens has to be controlled. The ratio between the thickness (ETP) at the height of a half of the entrance pupil diameter (HEP) and the thickness (TP) of any lens on the optical axis (i.e., ETP/TP) has to be particularly controlled. For example, the thickness at the height of a half of the entrance pupil diameter (HEP) of the first lens is denoted by ETP1, the thickness at the height of a half of the entrance pupil diameter (HEP) of the second lens is denoted by ETP2, and the thickness at the height of a half of the entrance pupil diameter (HEP) of any other lens in the optical image capturing system is denoted in the same manner. The optical image capturing system of the present invention satisfies:
 
0.3≦ SETP/EIN&lt; 1;
 
     where SETP is the sum of the aforementioned ETP1 to ETP5. 
     In order to enhance the ability of correcting aberration and to lower the difficulty of manufacturing at the same time, the ratio between the thickness (ETP) at the height of a half of the entrance pupil diameter (HEP) and the thickness (TP) of any lens on the optical axis (i.e., ETP/TP) has to be particularly controlled. For example, the thickness at the height of a half of the entrance pupil diameter (HEP) of the first lens is denoted by ETP1, the thickness of the first lens on the optical axis is TP1, and the ratio between these two parameters is ETP1/TP1; the thickness at the height of a half of the entrance pupil diameter (HEP) of the first lens is denoted by ETP2, the thickness of the second lens on the optical axis is TP2, and the ratio between these two parameters is ETP2/TP2. The ratio between the thickness at the height of a half of the entrance pupil diameter (HEP) and the thickness of any other lens in the optical image capturing system is denoted in the same manner. The optical image capturing system of the present invention satisfies:
 
0.2≦ ETP/TP≦ 3.
 
     The horizontal distance between two neighboring lenses at the height of a half of the entrance pupil diameter (HEP) is denoted by ED, wherein the aforementioned horizontal distance (ED) is parallel to the optical axis of the optical image capturing system, and particularly affects the ability of correcting aberration and differences between optical paths of light in different fields of view of the common region of each field of view of light at the height of a half of the entrance pupil diameter (HEP). With longer distance, the ability to correct aberration is potential to be better. However, the difficulty of manufacturing increases, and the feasibility of “slightly shorten” the length of the optical image capturing system is limited as well. Therefore, the horizontal distance (ED) between two specific neighboring lenses at the height of a half of the entrance pupil diameter (HEP) has to be controlled. 
     In order to enhance the ability of correcting aberration and to lower the difficulty of “slightly shorten” the length of the optical image capturing system at the same time, the ratio between the horizontal distance (ED) between two neighboring lenses at the height of a half of the entrance pupil diameter (HEP) and the parallel distance (IN) between these two neighboring lens on the optical axis (i.e., ED/IN) has to be particularly controlled. For example, the horizontal distance between the first lens and the second lens at the height of a half of the entrance pupil diameter (HEP) is denoted by ED12, the horizontal distance between the first lens and the second lens on the optical axis is denoted by IN12, and the ratio between these two parameters is ED12/IN12; the horizontal distance between the second lens and the third lens at the height of a half of the entrance pupil diameter (HEP) is denoted by ED23, the horizontal distance between the second lens and the third lens on the optical axis is denoted by IN23, and the ratio between these two parameters is ED23/IN23. The ratio between the horizontal distance between any two neighboring lenses at the height of a half of the entrance pupil diameter (HEP) and the horizontal distance between these two neighboring lenses on the optical axis is denoted in the same manner. 
     The horizontal distance in parallel with the optical axis between a coordinate point at the height of ½ HEP on the image-side surface of the seventh lens and image surface is denoted by EBL. The horizontal distance in parallel with the optical axis between the point on the image-side surface of the seventh lens where the optical axis passes through and the image plane is denoted by BL. To enhance the ability to correct aberration and to preserve more space for other optical components, the optical image capturing system of the present invention can satisfy 0.2≦EBL/BL≦1.1. The optical image capturing system can further include a filtering component, which is provided between the seventh lens and the image plane, wherein the horizontal distance in parallel with the optical axis between the coordinate point at the height of ½ HEP on the image-side surface of the seventh lens and the filtering component is denoted by EIR, and the horizontal distance in parallel with the optical axis between the point on the image-side surface of the seventh lens where the optical axis passes through and the filtering component is denoted by PIR. The optical image capturing system of the present invention can satisfy 0.1≦EIR/PIR≦1. 
     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 feature map of modulation transformation of the optical image capturing system of the first embodiment of the present application in visible spectrum; 
         FIG. 1D  shows a feature map of modulation transformation of the optical image capturing system of the first embodiment of the present application in infrared spectrum; 
         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 feature map of modulation transformation of the optical image capturing system of the second embodiment of the present application in visible spectrum; 
         FIG. 2D  shows a feature map of modulation transformation of the optical image capturing system of the second embodiment of the present application in infrared spectrum; 
         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 feature map of modulation transformation of the optical image capturing system of the third embodiment of the present application in visible spectrum; 
         FIG. 3D  shows a feature map of modulation transformation of the optical image capturing system of the third embodiment of the present application in infrared spectrum; 
         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 feature map of modulation transformation of the optical image capturing system of the fourth embodiment in visible spectrum; 
         FIG. 4D  shows a feature map of modulation transformation of the optical image capturing system of the fourth embodiment of the present application in infrared spectrum; 
         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 feature map of modulation transformation of the optical image capturing system of the fifth embodiment of the present application in visible spectrum; 
         FIG. 5D  shows a feature map of modulation transformation of the optical image capturing system of the fifth embodiment of the present application in infrared spectrum; 
         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 feature map of modulation transformation of the optical image capturing system of the sixth embodiment of the present application in visible spectrum; 
         FIG. 6D  shows a feature map of modulation transformation of the optical image capturing system of the sixth embodiment of the present application in infrared spectrum; 
         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 feature map of modulation transformation of the optical image capturing system of the seventh embodiment of the present application in visible spectrum; 
         FIG. 7D  shows a feature map of modulation transformation of the optical image capturing system of the seventh embodiment of the present application in infrared spectrum; 
         FIG. 8A  is a schematic diagram of a 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; 
         FIG. 8C  shows a feature map of modulation transformation of the optical image capturing system of the eighth embodiment of the present application in visible spectrum; and 
         FIG. 8D  shows a feature map of modulation transformation of the optical image capturing system of the eighth embodiment of the present application in infrared spectrum; 
     
    
    
     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 an 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 modulation transformation of the optical image capturing system  10  of the first embodiment of the present application in visible spectrum, and  FIG. 1D  shows a modulation transformation of the optical image capturing system  10  of the first embodiment of the present application in infrared spectrum. 
     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 ARS  11 , and a profile curve length of the maximum effective half diameter of the image-side surface of the first lens  110  is denoted by ARS  12 . 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/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. 
     A distance in parallel with the optical axis between a coordinate point at a height of ½ HEP on the object-side surface of the first lens  110  and the image plane is ETL, and a distance in parallel with the optical axis between the coordinate point at the height of ½ HEP on the object-side surface of the first lens  110  and a coordinate point at a height of ½ HEP on the image-side surface of the seventh lens  140  is EIN, which satisfies: ETL=26.980 mm; EIN=24.999 mm; EIN/ETL=0.927. 
     The optical image capturing system of the first embodiment satisfies: ETP1=2.470 mm; ETP2=5.144 mm; ETP3=0.898 mm; ETP4=1.706 mm; ETP5=3.901 mm; ETP6=0.528 mm; ETP7=1.077 mm. The sum of the aforementioned ETP1 to ETP7 is SETP, wherein SETP=15.723 mm. In addition, TP1=2.276 mm; TP2=5.240 mm; TP3=0.837 mm; TP4=2.002 mm; TP5=4.271 mm; TP6=0.300 mm; TP7=1.118 mm. The sum of the aforementioned TP1 to TP7 is STP, wherein STP=16.044 mm. In addition, SETP/STP=0.980, and SETP/EIN=0.629. 
     In order to enhance the ability of correcting aberration and to lower the difficulty of manufacturing at the same time, the ratio between the thickness (ETP) at the height of a half of the entrance pupil diameter (HEP) and the thickness (TP) of any lens on the optical axis (i.e., ETP/TP) in the optical image capturing system of the first embodiment is particularly controlled, which satisfies: ETP1/TP1=1.085; ETP2/TP2=0.982; ETP3/TP3=1.073; ETP4/TP4=0.852; ETP5/TP5=0.914; ETP6/TP6=1.759; ETP7/TP7=0.963. 
     In order to enhance the ability of correcting aberration, lower the difficulty of manufacturing, and “slightly shortening” the length of the optical image capturing system at the same time, the ratio between the horizontal distance (ED) between two neighboring lenses at the height of a half of the entrance pupil diameter (HEP) and the parallel distance (IN) between these two neighboring lens on the optical axis (i.e., ED/IN) in the optical image capturing system of the first embodiment is particularly controlled, which satisfies: the horizontal distance between the first lens  110  and the second lens  120  at the height of a half of the entrance pupil diameter (HEP) is denoted by ED12, wherein ED12=4.474 mm; the horizontal distance between the second lens  120  and the third lens  130  at the height of a half of the entrance pupil diameter (HEP) is denoted by ED23, wherein ED23=0.349 mm; the horizontal distance between the third lens  130  and the fourth lens  140  at the height of a half of the entrance pupil diameter (HEP) is denoted by ED34, wherein ED34=1.660 mm; the horizontal distance between the fourth lens  140  and the fifth lens  150  at the height of a half of the entrance pupil diameter (HEP) is denoted by ED45, wherein ED45=1.794 mm; the horizontal distance between the fifth lens  150  and the sixth lens  160  at the height of a half of the entrance pupil diameter (HEP) is denoted by ED56, wherein ED56=0.714 mm; the horizontal distance between the sixth lens  160  and the seventh lens  170  at the height of a half of the entrance pupil diameter (HEP) is denoted by ED67, wherein ED67=0.284 mm. The sum of the aforementioned ED12 to ED67 is SED, wherein SED=9.276 mm. 
     The horizontal distance between the first lens  110  and the second lens  120  on the optical axis is denoted by IN12, wherein IN12=4.552 mm, and ED12/IN12=0.983. The horizontal distance between the second lens  120  and the third lens  130  on the optical axis is denoted by IN23, wherein IN23=0.162 mm, and ED23/IN23=2.153. The horizontal distance between the third lens  130  and the fourth lens  140  on the optical axis is denoted by IN34, wherein IN34=1.927 mm, and ED34/IN34=0.862. The horizontal distance between the fourth lens  140  and the fifth lens  150  on the optical axis is denoted by IN45, wherein IN45=1.515 mm, and ED45/IN45=1.184. The horizontal distance between the fifth lens  150  and the sixth lens  160  on the optical axis is denoted by IN56, wherein IN56=0.050 mm, and ED56/IN56=14.285. The horizontal distance between the sixth lens  160  and the seventh lens  170  on the optical axis is denoted by IN67, wherein IN67=0.211 mm, and ED67/IN67=1.345. The sum of the aforementioned IN12 to IN67 is denoted by SIN, wherein SIN=8.418, and SED/SIN=1.102. 
     The optical image capturing system of the first embodiment satisfies: ED12/ED23=12.816; ED23/ED34=0.210; ED34/ED45=0.925; ED45/ED56=2.512; ED56/ED67=2.512; IN12/IN23=28.080; IN23/IN34=0.084; IN34/IN45=1.272; IN45/IN56=30.305; IN56/IN67=0.236. 
     The horizontal distance in parallel with the optical axis between a coordinate point at the height of ½ HEP on the image-side surface of the seventh lens  170  and image surface is denoted by EBL, wherein EBL=1.982 mm. The horizontal distance in parallel with the optical axis between the point on the image-side surface of the seventh lens  170  where the optical axis passes through and the image plane is denoted by BL, wherein BL=2.517 mm. The optical image capturing system of the first embodiment satisfies: EBL/BL=0.7874. The horizontal distance in parallel with the optical axis between the coordinate point at the height of ½ HEP on the image-side surface of the seventh lens  170  and the infrared rays filter  180  is denoted by EIR, wherein EIR=0.865 mm. The horizontal distance in parallel with the optical axis between the point on the image-side surface of the seventh lens  170  where the optical axis passes through and the infrared rays filter  180  is denoted by PIR, wherein PIR=1.400 mm, and it satisfies: EIR/PIR=0.618. 
     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 optical image capturing system of the first embodiment, the values of MTF in the spatial frequency of 55 cycles/mm at the optical axis, 0.3 field of view, and 0.7 field of view of visible light on an image plane are respectively denoted by MTFE0, MTFE3, and MTFE7, wherein MTFE0 is around 0.35, MTFE3 is around 0.14, and MTEF7 is around 0.28; the values of MTF in the spatial frequency of 110 cycles/mm at the optical axis, 0.3 field of view, and 0.7 field of view of visible light on an image plane are respectively denoted by MTFQ0, MTFQ3, and MTFQ7, wherein MTFQ0 is around 0.126, MTFQ3 is around 0.075, and MTFQ7 is around 0.177; the values of modulation transfer function (MTF) in the spatial frequency of 220 cycles/mm at the optical axis, 0.3 field of view, and 0.7 field of view on an image plane are respectively denoted by MTFH0, MTFH3, and MTFH7, wherein MTFH0 is around 0.01, MTFH3 is around 0.01, and MTFH7 is around 0.01. 
     For the optical image capturing system of the first embodiment, when the infrared of wavelength of 850 nm focuses on the image plane, the values of MTF in spatial frequency (55 cycles/mm) at the optical axis, 0.3 HOI, and 0.7 HOI on an image plane are respectively denoted by MTFI0, MTFI3, and MTFI7, wherein MTFI0 is around 0.01, MTFI3 is around 0.01, and MTFI7 is around 0.01. 
     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 
               
               
                   
                   
                 Thickness 
                   
                 Refractive 
                 Abbe 
                 length 
               
               
                 Surface 
                 Radius of curvature (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 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 , a second lens  220 , an aperture  200 , 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  shows a modulation transformation of the optical image capturing system  20  of the second embodiment of the present application in visible spectrum, and  FIG. 2D  shows a modulation transformation of the optical image capturing system  20  of the second embodiment of the present application in infrared spectrum. 
     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 image-side surface  214  has an inflection point. 
     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. 
     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 convex aspheric surface, and an image-side surface  234 , which faces the image side, is a convex aspheric surface. The object-side surface  232  has 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  has 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 surface, and an image-side surface  254 , which faces the image side, is a concave surface. The object-side surface  252  and the image-side surface  254  are both aspheric surfaces. The object-side surface  252  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. Whereby, incident angle of each field of view for the sixth lens can be effectively adjusted to improve aberration. 
     The seventh lens  270  has positive refractive power and is made of plastic. An object-side surface  272 , which faces the object side, is a convex 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  and the image-side surface  274  both have 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=206.0282 mm; and f1/ΣPP=0.4715, 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=−21.4376 mm; and f2/ΣNP=0.5052, 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 = 7.0156 mm; f/HEP = 1.4; HAF = 47.5006 deg 
               
            
           
           
               
               
               
               
               
               
               
            
               
                   
                   
                   
                   
                   
                   
                 Focal 
               
               
                   
                   
                 Thickness 
                   
                 Refractive 
                 Abbe 
                 length 
               
               
                 Surface 
                 Radius of curvature (mm) 
                 (mm) 
                 Material 
                 index 
                 number 
                 (mm) 
               
               
                   
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                 0 
                 Object 
                 plane 
                 infinity 
                   
                   
                   
                   
               
               
                 1 
                 1 st  lens 
                 38.30999265 
                 6.690 
                 plastic 
                 1.650 
                 21.40 
                 97.151 
               
               
                 2 
                   
                 89.51805989 
                 2.123 
                   
                   
                   
                   
               
               
                 3 
                 2 nd  lens 
                 265.9237017 
                 3.507 
                 plastic 
                 1.550 
                 56.50 
                 −10.831 
               
               
                 4 
                   
                 5.817261412 
                 18.739 
                   
                   
                   
                   
               
               
                 5 
                 Aperture 
                 plane 
                 −0.307 
                   
                   
                   
                   
               
               
                 6 
                 3 rd  lens 
                 26.13658896 
                 2.057 
                 plastic 
                 1.565 
                 58.00 
                 21.399 
               
               
                 7 
                   
                 −21.98589916 
                 0.945 
                   
                   
                   
                   
               
               
                 8 
                 4 th  lens 
                 17.96887411 
                 5.893 
                 plastic 
                 1.565 
                 58.00 
                 17.906 
               
               
                 9 
                   
                 −20.55243477 
                 1.029 
                   
                   
                   
                   
               
               
                 10 
                 5 th  lens 
                 −18.88228376 
                 1.448 
                 plastic 
                 1.632 
                 23.40 
                 −10.607 
               
               
                 11 
                   
                 10.83179833 
                 1.595 
                   
                   
                   
                   
               
               
                 12 
                 6 th  lens 
                 10.31720295 
                 3.747 
                 plastic 
                 1.565 
                 58.00 
                 14.771 
               
               
                 13 
                   
                 −38.56121899 
                 4.786 
                   
                   
                   
                   
               
               
                 14 
                 7 th  lens 
                 11.26133857 
                 6.137 
                 plastic 
                 1.565 
                 58.00 
                 54.802 
               
               
                 15 
                   
                 14.18372014 
                 0.800 
                   
                   
                   
                   
               
               
                 16 
                 Infrared rays 
                 plane 
                 0.200 
                 BK_7 
                 1.517 
                 64.2 
                   
               
               
                   
                 filter 
                   
                   
                   
                   
                   
                   
               
               
                 17 
                   
                 plane 
                 0.610 
                   
                   
                   
                   
               
               
                 18 
                 Image plane 
                 plane 
               
               
                   
               
               
                 Reference wavelength (d-line): 555 nm. 
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 4 
               
               
                   
               
               
                 Coefficients of the aspheric surfaces 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
            
               
                   
                 Surface 
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                   
                 1 
                 2 
                 3 
                 4 
                 6 
                 7 
                 8 
               
               
                   
               
               
                 k 
                 3.345583E−01 
                 2.121547E+01 
                 −7.965458E+00 
                 −6.166041E−01 
                 8.354258E+00 
                 1.087213E+00 
                 −5.968652E+00 
               
               
                 A4 
                 1.747694E−06 
                 1.511633E−06 
                 4.224255E−06 
                 4.978518E−05 
                 −1.085617E−04 
                 −4.608874E−05 
                 5.219771E−05 
               
               
                 A6 
                 −5.933480E−09 
                 −9.423740E−09 
                 −5.125456E−08 
                 −5.834523E−07 
                 −6.301166E−07 
                 1.153742E−06 
                 −9.195493E−07 
               
               
                 A8 
                 −1.796000E−11 
                 −6.599000E−11 
                 −8.886000E−11 
                 −9.179410E−09 
                 −1.434333E−08 
                 −3.424057E−08 
                 −1.447981E−08 
               
               
                 A10 
                 1.000000E−14 
                 −1.000000E−14 
                 4.700000E−13 
                 −3.617700E−10 
                 −4.921800E−10 
                 −3.117000E−11 
                 2.114000E−11 
               
               
                 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 
               
               
                 A16 
                 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 
                 −4.521029E+01 
                 −2.570506E+00 
                 −1.506173E+01 
                 −8.958277E+00 
                 1.336178E+01 
                 −4.018327E+00 
                 −7.068737E+00 
               
               
                 A4 
                 −3.911505E−04 
                 −1.441251E−04 
                 4.381816E−05 
                 −1.032315E−04 
                 −2.563268E−04 
                 −1.525988E−04 
                 −7.181580E−04 
               
               
                 A6 
                 −3.278629E−06 
                 −2.643422E−06 
                 6.365011E−06 
                 −8.750348E−07 
                 3.153044E−06 
                 −2.789229E−06 
                 −1.462955E−06 
               
               
                 A8 
                 7.548049E−08 
                 2.104616E−08 
                 −1.895473E−07 
                 1.276907E−08 
                 −4.297162E−08 
                 −3.954829E−08 
                 6.996885E−08 
               
               
                 A10 
                 −4.067700E−10 
                 6.022000E−10 
                 1.610750E−09 
                 −1.339900E−09 
                 −3.634400E−10 
                 −2.606700E−10 
                 −4.298700E−10 
               
               
                 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 
               
               
                 A16 
                 0.000000E+00 
                 0.000000E+00 
                 0.000000E+00 
                 0.000000E+00 
                 0.000000E+00 
                 0.000000E+00 
                 0.000000E+00 
               
               
                   
               
            
           
         
       
     
     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) 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
               
            
               
                   
                 ETP1 
                 ETP2 
                 ETP3 
                 ETP4 
                 ETP5 
                 ETP6 
               
               
                   
                   
               
               
                   
                 6.643 
                 4.047 
                 1.793 
                 5.571 
                 1.872 
                 3.384 
               
               
                   
                   
               
            
           
           
               
               
               
               
               
               
               
            
               
                   
                 ETP7 
                 ETL 
                 EBL 
                 EIN 
                 EIR 
                 PIR 
               
               
                   
                   
               
               
                   
                 6.058 
                 59.918 
                 1.427 
                 58.491 
                 0.617 
                 0.800 
               
               
                   
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 EIN/ETL 
                 SETP/EIN 
                 EIR/PIR 
                 SETP 
                 STP 
                 SETP/STP 
               
               
                   
               
               
                 0.976 
                 0.502 
                 0.771 
                 29.368 
                 29.479 
                 0.996 
               
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 ETP1/TP1 
                 ETP2/TP2 
                 ETP3/TP3 
                 ETP4/TP4 
                 ETP5/TP5 
                 ETP6/TP6 
               
               
                   
               
               
                 0.993 
                 1.154 
                 0.872 
                 0.945 
                 1.293 
                 0.903 
               
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 ETP7/TP7 
                 BL 
                 EBL/BL 
                 SED 
                 SIN 
                 SED/SIN 
               
               
                   
               
               
                 0.987 
                 1.611 
                 0.8858 
                 29.123 
                 28.910 
                 1.007 
               
               
                   
               
            
           
           
               
               
               
               
               
               
               
            
               
                   
                 ED12 
                 ED23 
                 ED34 
                 ED45 
                 ED56 
                 ED67 
               
               
                   
                   
               
               
                   
                 2.100 
                 17.999 
                 1.263 
                 1.008 
                 1.614 
                 5.140 
               
               
                   
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 ED12/ 
                 ED23/ 
                 ED34/ 
                   
                   
                   
               
               
                 IN12 
                 IN23 
                 IN34 
                 ED45/IN45 
                 ED56/IN56 
                 ED67/IN67 
               
               
                   
               
               
                 0.989 
                 0.977 
                 1.336 
                 0.979 
                 1.012 
                 1.074 
               
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 |f/f1| 
                 |f/f2| 
                 |f/f3| 
                 |f/f4| 
                 |f/f5| 
                 |f/f6| 
               
               
                   
               
               
                 0.0722 
                 0.6478 
                 0.3278 
                 0.3918 
                 0.6614 
                 0.4750 
               
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 |f/f7| 
                 ΣPPR 
                 ΣNPR 
                 ΣPPR/|ΣNPR| 
                 IN12/f 
                 IN67/f 
               
               
                   
               
               
                 0.1280 
                 1.3948 
                 1.3092 
                 1.0655 
                 0.3026 
                 0.6822 
               
               
                   
               
            
           
           
               
               
               
               
            
               
                 |f1/f2| 
                 |f2/f3| 
                 (TP1 + IN12)/TP2 
                 (TP7 + IN67)/TP6 
               
               
                   
               
               
                 8.9701 
                 0.5061 
                 2.5128 
                 2.9149 
               
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 HOS 
                 InTL 
                 HOS/HOI 
                 InS/HOS 
                 ODT % 
                 TDT % 
               
               
                   
               
               
                 60.0000 
                 58.3895 
                 8.0000 
                 0.4824 
                 −2.0424 
                 2.1042 
               
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 HVT11 
                 HVT12 
                 HVT21 
                 HVT22 
                 HVT31 
                 HVT32 
               
               
                   
               
               
                 0.0000 
                 0.0000 
                 11.7900 
                 0.0000 
                 0.0000 
                 0.0000 
               
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 HVT61 
                 HVT62 
                 HVT71 
                 HVT72 
                 HVT72/HOI 
                 HVT72/HOS 
               
               
                   
               
               
                 6.2440 
                 0.0000 
                 6.0491 
                 4.4200 
                 0.5893 
                 0.0737 
               
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 MTFE0 
                 MTFE3 
                 MTFE7 
                 MTFQ0 
                 MTFQ3 
                 MTFQ7 
               
               
                   
               
               
                 0.9 
                 0.85 
                 0.79 
                 0.787 
                 0.622 
                 0.569 
               
               
                   
               
            
           
           
               
               
               
            
               
                 MTFI0 
                 MTFI3 
                 MTFI7 
               
               
                   
               
               
                 0.85 
                 0.83 
                 0.58 
               
               
                   
               
            
           
         
       
     
     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) 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                 HIF121 
                 13.8715 
                 HIF121/HOI 
                 1.8495 
                 SGI121 
                 1.1718 
                 |SGI121|/(|SGI121| + TP1) 
                 0.1490 
               
               
                 HIF211 
                 8.0311 
                 HIF211/HOI 
                 1.0708 
                 SGI211 
                 0.1239 
                 |SGI211|/(|SGI211| + TP2) 
                 0.0341 
               
               
                 HIF311 
                 4.9399 
                 HIF311/HOI 
                 0.6586 
                 SGI311 
                 0.4310 
                 |SGI311|/(|SGI311|+ TP3) 
                 0.1732 
               
               
                 HIF411 
                 5.6043 
                 HIF411/HOI 
                 0.7472 
                 SGI411 
                 0.7976 
                 |SGI411|/(|SGI411|+ TP4) 
                 0.1192 
               
               
                 HIF511 
                 6.4678 
                 HIF511/HOI 
                 0.8624 
                 SGI511 
                 −1.3650 
                 |SGI511|/(|SGI511|+ TP5) 
                 0.4853 
               
               
                 HIF611 
                 3.9563 
                 HIF611/HOI 
                 0.5275 
                 SGI611 
                 0.5843 
                 |SGI611|/(|SGI611|+ TP6) 
                 0.1349 
               
               
                 HIF711 
                 3.8936 
                 HIF711/HOI 
                 0.5191 
                 SGI711 
                 0.5743 
                 |SGI711|/(|SGI711|+ TP7) 
                 0.0856 
               
               
                 HIF721 
                 2.4948 
                 HIF721/HOI 
                 0.3326 
                 SG1721 
                 0.1819 
                 |SGI721|/(|SGI721|+ TP7) 
                 0.0288 
               
               
                   
               
            
           
         
       
     
     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  shows a modulation transformation of the optical image capturing system  30  of the third embodiment of the present application in visible spectrum, and  FIG. 3D  shows a modulation transformation of the optical image capturing system  30  of the third embodiment of the present application in infrared spectrum. 
     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 image-side surface  314  has two inflection points. 
     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  and the image-side surface  324  both have 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 object-side surface  332  and the image-side surface  334  both have an inflection point. 
     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 concave aspheric surface, and an image-side surface  344 , which faces the image side, is a convex aspheric surface. The object-side surface  342  has four inflection points, and the image-side surface  344  has 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 surface, and an image-side surface  354 , which faces the image side, is a convex surface. The object-side surface  352  and the image-side surface  354  are both aspheric surface. 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 three inflection points, 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=57.1785 mm; and f1/ΣPP=0.2408, 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=−53.3826 mm; and f2/ΣNP=0.1153, 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 = 9.5423 mm; f/HEP = 2.0; HAF = 38.0002 deg 
               
            
           
           
               
               
               
               
               
               
               
            
               
                   
                   
                   
                   
                   
                   
                 Focal 
               
               
                   
                   
                 Thickness 
                   
                 Refractive 
                 Abbe 
                 length 
               
               
                 Surface 
                 Radius of curvature (mm) 
                 (mm) 
                 Material 
                 index 
                 number 
                 (mm) 
               
               
                   
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                 0 
                 Object 
                 plane 
                 infinity 
                   
                   
                   
                   
               
               
                 1 
                 1 st  lens 
                 5.126953214 
                 1.214 
                 plastic 
                 1.544 
                 55.96 
                 13.7691 
               
               
                 2 
                   
                 14.77967651 
                 0.259 
                   
                   
                   
                   
               
               
                 3 
                 Aperture 
                 plane 
                 0.570 
                   
                   
                   
                   
               
               
                 4 
                 2 nd  lens 
                 7.744320593 
                 0.542 
                 plastic 
                 1.642 
                 22.46 
                 −18.6536 
               
               
                 5 
                   
                 4.589392077 
                 0.440 
                   
                   
                   
                   
               
               
                 6 
                 3 rd  lens 
                 −27.72740863 
                 0.922 
                 plastic 
                 1.544 
                 55.96 
                 16.899 
               
               
                 7 
                   
                 −7.003148313 
                 0.126 
                   
                   
                   
                   
               
               
                 8 
                 4 th  lens 
                 −132.5407952 
                 1.087 
                 plastic 
                 1.544 
                 55.96 
                 16.6825 
               
               
                 9 
                   
                 −8.545788217 
                 1.661 
                   
                   
                   
                   
               
               
                 10 
                 5 th  lens 
                 −2.747454197 
                 0.790 
                 plastic 
                 1.642 
                 22.46 
                 −28.5748 
               
               
                 11 
                   
                 −3.590917294 
                 0.100 
                   
                   
                   
                   
               
               
                 12 
                 6 th  lens 
                 6.331804041 
                 1.192 
                 plastic 
                 1.544 
                 55.96 
                 9.82793 
               
               
                 13 
                   
                 −32.79464874 
                 1.173 
                   
                   
                   
                   
               
               
                 14 
                 7 th  lens 
                 −5.604046294 
                 0.602 
                 plastic 
                 1.544 
                 55.96 
                 −6.15416 
               
               
                 15 
                   
                 8.705420907 
                 0.465 
                   
                   
                   
                   
               
               
                 16 
                 Infrared rays 
                 plane 
                 0.300 
                 BK_7 
                 1.517 
                 64.2 
                   
               
               
                   
                 filter 
                   
                   
                   
                   
                   
                   
               
               
                 17 
                   
                 plane 
                 1.300 
                   
                   
                   
                   
               
               
                 18 
                 Image plane 
                 plane 
                 0.000 
               
               
                   
               
               
                 Reference wavelength (d-line): 555 nm. 
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 6 
               
               
                   
               
               
                 Coefficients of the aspheric surfaces 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
            
               
                   
                 Surface 
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                   
                 1 
                 2 
                 4 
                 5 
                 6 
                 7 
                 8 
               
               
                   
               
               
                 k 
                 −1.064649E+00 
                 −7.156630E+00 
                 −8.946824E+01 
                 8.010624E−01 
                 1.357282E+01 
                 −9.621586E−01 
                 4.656054E+01 
               
               
                 A4 
                 1.358278E−03 
                 −3.143285E−03 
                 3.689773E−04 
                 −1.972531E−02 
                 3.856100E−03 
                 1.072596E−02 
                 1.070986E−02 
               
               
                 A6 
                 −1.537317E−04 
                 8.407030E−04 
                 −1.086803E−02 
                 −5.320992E−04 
                 −2.894203E−03 
                 −8.790456E−03 
                 −7.964556E−03 
               
               
                 A8 
                 1.520498E−04 
                 −1.133322E−04 
                 5.229602E−03 
                 8.331800E−04 
                 7.813465E−04 
                 3.233125E−03 
                 2.848458E−03 
               
               
                 A10 
                 −4.144138E−05 
                 −1.780766E−05 
                 −1.496221E−03 
                 −2.811037E−04 
                 −2.147279E−04 
                 −7.174150E−04 
                 −5.716041E−04 
               
               
                 A12 
                 6.312734E−06 
                 1.361900E−05 
                 2.595275E−04 
                 5.079297E−05 
                 4.021990E−05 
                 9.754134E−05 
                 6.824275E−05 
               
               
                 A14 
                 −4.305616E−07 
                 −2.475022E−06 
                 −2.472214E−05 
                 −4.585964E−06 
                 −3.710161E−06 
                 −7.750199E−06 
                 −4.621737E−06 
               
               
                 A16 
                 8.866670E−09 
                 1.459490E−07 
                 9.370067E−07 
                 1.561873E−07 
                 1.333560E−07 
                 2.738341E−07 
                 1.338013E−07 
               
               
                   
               
            
           
           
               
               
            
               
                   
                 Surface 
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                   
                 9 
                 10 
                 11 
                 12 
                 13 
                 14 
                 15 
               
               
                   
               
               
                 k 
                 −1.506072E+01 
                 −8.908616E−01 
                 −4.153787E−01 
                 −1.440067E+00 
                 2.345828E+01 
                 −2.975038E−02 
                 −3.905794E−01 
               
               
                 A4 
                 −2.328261E−03 
                 2.514134E−02 
                 1.533485E−02 
                 −1.483034E−02 
                 −1.243722E−02 
                 −5.870219E−03 
                 −4.473415E−03 
               
               
                 A6 
                 −1.112969E−03 
                 −8.683162E−03 
                 −3.976145E−03 
                 2.862703E−03 
                 3.059330E−03 
                 1.800358E−03 
                 3.399395E−04 
               
               
                 A8 
                 3.524178E−04 
                 1.770667E−04 
                 6.061738E−04 
                 −3.832590E−04 
                 −3.034689E−04 
                 −1.981376E−04 
                 −2.491328E−05 
               
               
                 A10 
                 −6.261380E−05 
                 −2.367895E−04 
                 −5.731690E−05 
                 3.232370E−05 
                 1.366570E−05 
                 1.226012E−05 
                 1.188238E−06 
               
               
                 A12 
                 9.114956E−06 
                 2.032129E−05 
                 3.435847E−06 
                 −1.903324E−06 
                 −2.484401E−07 
                 −4.283668E−07 
                 −3.419726E−08 
               
               
                 A14 
                 −8.301954E−07 
                 −1.025564E−06 
                 −1.227677E−07 
                 6.751249E−08 
                 1.089800E−10 
                 7.951930E−09 
                 5.339600E−10 
               
               
                 A16 
                 2.944219E−08 
                 2.270383E−08 
                 2.016940E−09 
                 −1.007020E−09 
                 3.193000E−11 
                 −6.085000E−11 
                 −3.490000E−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) 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
               
            
               
                   
                 ETP1 
                 ETP2 
                 ETP3 
                 ETP4 
                 ETP5 
                 ETP6 
               
               
                   
                   
               
               
                   
                 0.834 
                 0.828 
                 0.696 
                 0.766 
                 0.945 
                 0.828 
               
               
                   
                   
               
            
           
           
               
               
               
               
               
               
               
            
               
                   
                 ETP7 
                 ETL 
                 EBL 
                 EIN 
                 EIR 
                 PIR 
               
               
                   
                   
               
               
                   
                 1.270 
                 12.225 
                 1.861 
                 10.364 
                 0.261 
                 0.465 
               
               
                   
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 EIN/ETL 
                 SETP/EIN 
                 EIR/PIR 
                 SETP 
                 STP 
                 SETP/STP 
               
               
                   
               
               
                 0.848 
                 0.595 
                 0.561 
                 6.166 
                 6.348 
                 0.971 
               
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 ETP1/TP1 
                 ETP2/TP2 
                 ETP3/TP3 
                 ETP4/TP4 
                 ETP5/TP5 
                 ETP6/TP6 
               
               
                   
               
               
                 0.687 
                 1.528 
                 0.755 
                 0.705 
                 1.197 
                 0.695 
               
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 ETP7/TP7 
                 BL 
                 EBL/BL 
                 SED 
                 SIN 
                 SED/SIN 
               
               
                   
               
               
                 2.109 
                 2.065 
                 0.9157 
                 4.197 
                 4.329 
                 0.970 
               
               
                   
               
            
           
           
               
               
               
               
               
               
               
            
               
                   
                 ED12 
                 ED23 
                 ED34 
                 ED45 
                 ED56 
                 ED67 
               
               
                   
                   
               
               
                   
                 0.608 
                 0.097 
                 0.499 
                 1.231 
                 0.900 
                 0.863 
               
               
                   
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 ED12/ 
                 ED23/ 
                 ED34/ 
                   
                   
                   
               
               
                 IN12 
                 IN23 
                 IN34 
                 ED45/IN45 
                 ED56/IN56 
                 ED67/IN67 
               
               
                   
               
               
                 0.733 
                 0.221 
                 3.966 
                 0.741 
                 8.997 
                 0.735 
               
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 |f/f1| 
                 |f/f2| 
                 |f/f3| 
                 |f/f4| 
                 |f/f5| 
                 |f/f6| 
               
               
                   
               
               
                 0.6930 
                 0.5116 
                 0.5647 
                 0.5720 
                 0.3339 
                 0.9709 
               
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 |f/f7| 
                 ΣPPR 
                 ΣNPR 
                 ΣPPR/|ΣNPR| 
                 IN12/f 
                 IN67/f 
               
               
                   
               
               
                 1.5505 
                 2.8006 
                 2.3960 
                 1.1689 
                 0.0869 
                 0.1229 
               
               
                   
               
            
           
           
               
               
               
               
            
               
                 |f1/f2| 
                 |f2/f3| 
                 (TP1 + IN12)/TP2 
                 (TP7 + IN67)/TP6 
               
               
                   
               
               
                 0.7381 
                 1.1038 
                 3.7730 
                 1.4898 
               
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 HOS 
                 InTL 
                 HOS/HOI 
                 InS/HOS 
                 ODT % 
                 TDT % 
               
               
                   
               
               
                 12.7407 
                 10.6762 
                 1.6988 
                 0.8844 
                 1.0235 
                 0.4634 
               
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 HVT11 
                 HVT12 
                 HVT21 
                 HVT22 
                 HVT31 
                 HVT32 
               
               
                   
               
               
                 0.0000 
                 0.0000 
                 1.3043 
                 2.0996 
                 2.7393 
                 0.0000 
               
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 HVT61 
                 HVT62 
                 HVT71 
                 HVT72 
                 HVT72/HOI 
                 HVT72/HOS 
               
               
                   
               
               
                 2.7964 
                 4.7698 
                 0.0000 
                 4.0398 
                 0.5386 
                 0.3171 
               
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 MTFE0 
                 MTFE3 
                 MTFE7 
                 MTFQ0 
                 MTFQ3 
                 MTFQ7 
               
               
                   
               
               
                 0.91 
                 0.83 
                 0.8 
                 0.81 
                 0.64 
                 0.57 
               
               
                   
               
            
           
           
               
               
               
            
               
                 MTFI0 
                 MTFI3 
                 MTFI7 
               
               
                   
               
               
                 0.85 
                 0.73 
                 0.58 
               
               
                   
               
            
           
         
       
     
     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) 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                 HIF121 
                 2.3213 
                 HIF121/HOI 
                 0.3095 
                 SGI121 
                 0.1503 
                 |SGI121|/(|SGI121| + TP1) 
                 0.1102 
               
               
                 HIF122 
                 2.3596 
                 HIF122/HOI 
                 0.3146 
                 SGI122 
                 0.1549 
                 |SGI122|/(|SGI122| + TP1) 
                 0.1132 
               
               
                 HIF211 
                 0.7262 
                 HIF211/HOI 
                 0.0968 
                 SGI211 
                 0.0280 
                 |SGI211|/(|SGI211| + TP2) 
                 0.0492 
               
               
                 HIF221 
                 1.0711 
                 HIF221/HOI 
                 0.1428 
                 SGI221 
                 0.1024 
                 |SGI221|/(|SGI221| + TP2) 
                 0.1591 
               
               
                 HIF311 
                 2.2817 
                 HIF311/HOI 
                 0.3042 
                 SGI311 
                 −0.1592 
                 |SGI311|/(|SGI311| + TP3) 
                 0.1473 
               
               
                 HIF321 
                 2.7143 
                 HIF321/HOI 
                 0.3619 
                 SGI321 
                 −0.6623 
                 |SGI321|/(|SGI321| + TP3) 
                 0.4181 
               
               
                 HIF411 
                 0.2581 
                 HIF411/HOI 
                 0.0344 
                 SGI411 
                 −0.0002 
                 |SGI411|/(|SGI411| + TP4) 
                 0.0002 
               
               
                 HIF412 
                 0.9763 
                 HIF412/HOI 
                 0.1302 
                 SGI412 
                 0.0012 
                 |SGI412|/(|SGI412| + TP4) 
                 0.0011 
               
               
                 HIF413 
                 1.6099 
                 HIF413/HOI 
                 0.2147 
                 SGI413 
                 0.0025 
                 |SGI413|/(|SGI413| + TP4) 
                 0.0023 
               
               
                 HIF414 
                 2.1553 
                 HIF414/HOI 
                 0.2874 
                 SGI414 
                 0.0041 
                 |SGI414|/(|SGI414| + TP4) 
                 0.0038 
               
               
                 HIF421 
                 3.1927 
                 HIF421/HOI 
                 0.4257 
                 SGI421 
                 −0.7812 
                 |SGI421|/(|SGI421| + TP4) 
                 0.4182 
               
               
                 HIF521 
                 3.8199 
                 HIF521/HOI 
                 0.5093 
                 SGI521 
                 −2.0739 
                 |SGI521|/(|SGI521| + TP5) 
                 0.7243 
               
               
                 HIF611 
                 1.5835 
                 HIF611/HOI 
                 0.2111 
                 SGI611 
                 0.1362 
                 |SGI611|/(|SGI611| + TP6) 
                 0.1026 
               
               
                 HIF612 
                 4.0634 
                 HIF612/HOI 
                 0.5418 
                 SGI612 
                 −0.2673 
                 |SGI612|/(|SGI612| + TP6) 
                 0.1833 
               
               
                 HIF613 
                 4.3009 
                 HIF613/HOI 
                 0.5735 
                 SGI613 
                 −0.4534 
                 |SGI613|/(|SGI613| + TP6) 
                 0.2756 
               
               
                 HIF621 
                 1.8405 
                 HIF621/HOI 
                 0.2454 
                 SGI621 
                 −0.1107 
                 |SGI621|/(|SGI621| + TP6) 
                 0.0850 
               
               
                 HIF622 
                 2.6284 
                 HIF622/HOI 
                 0.3505 
                 SGI622 
                 −0.1977 
                 |SGI622|/(|SGI622| + TP6) 
                 0.1423 
               
               
                 HIF623 
                 3.9646 
                 HIF623/HOI 
                 0.5286 
                 SGI623 
                 −0.4724 
                 |SGI623|/(|SGI623| + TP6) 
                 0.2839 
               
               
                 HIF624 
                 4.9355 
                 HIF624/HOI 
                 0.6581 
                 SGI624 
                 −0.6399 
                 |SGI624|/(|SGI624| + TP6) 
                 0.3494 
               
               
                 HIF711 
                 3.4061 
                 HIF711/HOI 
                 0.4541 
                 SGI711 
                 −0.9805 
                 |SGI711|/(|SGI711| + TP7) 
                 0.6196 
               
               
                 HIF712 
                 5.0056 
                 HIF712/HOI 
                 0.6674 
                 SGI712 
                 −1.5615 
                 |SGI712|/(|SGI712| + TP7) 
                 0.7217 
               
               
                 HIF721 
                 2.0478 
                 HIF721/HOI 
                 0.2730 
                 SGI721 
                 0.1830 
                 |SGI721|/(|SGI721| + TP7) 
                 0.2331 
               
               
                   
               
            
           
         
       
     
     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  shows a modulation transformation of the optical image capturing system  40  of the fourth embodiment of the present application in visible spectrum, and  FIG. 4D  shows a modulation transformation of the optical image capturing system  40  of the fourth embodiment of the present application in infrared spectrum. 
     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 image-side surface  414  has two inflection points. 
     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  and the image-side surface  424  both have 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 convex aspheric surface, and an image-side surface  434  thereof, which faces the image side, is a convex aspheric surface. The object-side surface  432  has two inflection points, and the image-side surface  434  has an inflection point. 
     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 image-side surface  444  has 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 image-side surface  454  has two inflection points. 
     The sixth lens  660  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  and the image-side surface  464  both have 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 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=56.0883 mm; and f1/ΣPP=0.2233, 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=−87.3758 mm; and f2/ΣNP=0.0585, 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  460  to other negative lenses. 
     The parameters of the lenses of the fourth embodiment are listed in Table 7 and Table 8. 
     
       
         
           
               
             
               
                 TABLE 7 
               
             
            
               
                   
               
               
                 f = 6.8656 mm; f/HEP = 1.8; HAF = 47.5 deg 
               
            
           
           
               
               
               
               
               
               
               
            
               
                   
                   
                   
                   
                   
                   
                 Focal 
               
               
                   
                 Radius of 
                 Thickness 
                   
                 Refractive 
                 Abbe 
                 length 
               
               
                 Surface 
                 curvature (mm) 
                 (mm) 
                 Material 
                 index 
                 number 
                 (mm) 
               
               
                   
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                 0 
                 Object 
                 plane 
                 infinity 
                   
                   
                   
                   
               
               
                 1 
                 1 st  lens 
                 3.601476359 
                 0.889 
                 plastic 
                 1.544 
                 55.96 
                 12.5245 
               
               
                 2 
                   
                 6.947158259 
                 0.307 
               
               
                 3 
                 2 nd  lens 
                 plane 
                 0.100 
               
               
                 4 
                   
                 5.276720377 
                 0.300 
                 plastic 
                 1.642 
                 22.46 
                 −55.9514 
               
               
                 5 
                 3 rd  lens 
                 4.503058022 
                 0.136 
               
               
                 6 
                   
                 24.443000967 
                 0.709 
                 plastic 
                 1.544 
                 55.96 
                 12.9402 
               
               
                 7 
                 Aperture 
                 −9.832995605 
                 0.443 
               
               
                 8 
                 4 th  lens 
                 −126.659175869 
                 0.515 
                 plastic 
                 1.544 
                 55.96 
                 23.8412 
               
               
                 9 
                   
                 −11.818661867 
                 0.599 
               
               
                 10 
                 5 th  lens 
                 −1.830314760 
                 0.982 
                 plastic 
                 1.642 
                 22.46 
                 −26.3112 
               
               
                 11 
                   
                 −2.483182141 
                 0.100 
               
               
                 12 
                 6 th  lens 
                 5.693008556 
                 1.579 
                 plastic 
                 1.544 
                 55.96 
                 6.78244 
               
               
                 13 
                   
                 −9.551309876 
                 0.815 
               
               
                 14 
                 7 th  lens 
                 −5.217815016 
                 0.617 
                 plastic 
                 1.584 
                 29.89 
                 −5.11316 
               
               
                 15 
                   
                 7.387853451 
                 0.366 
               
               
                 16 
                 Infrared 
                 plane 
                 0.300 
                 BK_7 
                 1.517 
                 64.2 
               
               
                   
                 rays 
               
               
                   
                 filter 
               
               
                 17 
                   
                 plane 
                 1.000 
               
               
                 18 
                 Image 
                 plane 
                 0.000 
               
               
                   
                 plane 
               
               
                   
               
               
                 Reference wavelength (d-line): 555 nm; the position of blocking light: blocking at the first surface with effective semi diameter of 2.320 mm; blocking at the fifth surface with effective semi diameter of 1.750 mm. 
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 8 
               
               
                   
               
               
                 Coefficients of the aspheric surfaces 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
            
               
                   
                 Surface 
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                   
                 1 
                 2 
                 4 
                 5 
                 6 
                 7 
                 8 
               
               
                   
               
               
                 k 
                 −4.218427E−01 
                 −2.641534E+00 
                 −1.943524E+01 
                 −2.576642E+00 
                 −2.638477E+01 
                 1.251815E+01 
                 9.917239E+01 
               
               
                 A4 
                 1.374568E−03 
                 −5.169524E−03 
                 −9.552506E−03 
                 −9.694420E−03 
                 8.274332E−03 
                 −9.269063E−03 
                 −2.539792E−02 
               
               
                 A6 
                 −6.187329E−04 
                 −6.014409E−04 
                 −8.655393E−03 
                 −4.272939E−03 
                 1.471004E−03 
                 −1.423521E−03 
                 −2.476999E−03 
               
               
                 A8 
                 3.172341E−04 
                 3.498418E−04 
                 1.341537E−03 
                 4.846662E−04 
                 −8.675639E−04 
                 1.056495E−03 
                 −4.752220E−04 
               
               
                 A10 
                 −1.043248E−04 
                 −1.170928E−04 
                 5.822625E−04 
                 1.935885E−04 
                 −2.908188E−04 
                 −8.021186E−05 
                 −1.249185E−05 
               
               
                 A12 
                 1.690748E−05 
                 1.916946E−05 
                 −1.543434E−04 
                 −6.594969E−05 
                 9.661237E−05 
                 −1.073785E−04 
                 7.141822E−06 
               
               
                 A14 
                 −1.990841E−06 
                 −9.902798E−08 
                 7.303311E−07 
                 9.554668E−08 
                 −1.766522E−06 
                 2.465907E−05 
                 −7.021694E−06 
               
               
                 A16 
                 1.404622E−07 
                 −1.655272E−07 
                 −1.355712E−07 
                 −1.419891E−07 
                 1.558800E−07 
                 6.551488E−07 
                 1.829315E−06 
               
               
                   
               
            
           
           
               
               
            
               
                   
                 Surface 
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                   
                 9 
                 10 
                 11 
                 12 
                 13 
                 14 
                 15 
               
               
                   
               
               
                 k 
                 2.140866E+01 
                 −4.130031E−01 
                 −5.748779E−01 
                 −1.634525E+00 
                 −6.477384E+01 
                 −4.553673E−02 
                 −1.567468E+01 
               
               
                 A4 
                 −1.193827E−02 
                 3.003641E−02 
                 8.447238E−03 
                 −9.657550E−03 
                 −8.148340E−03 
                 −4.300000E−03 
                 −4.269638E−03 
               
               
                 A6 
                 −3.482473E−03 
                 −6.618354E−03 
                 −2.302313E−03 
                 1.669624E−03 
                 2.904242E−03 
                 1.571107E−03 
                 4.118127E−04 
               
               
                 A8 
                 1.403202E−04 
                 1.440880E−03 
                 5.287956E−04 
                 −2.163588E−04 
                 −3.847761E−04 
                 −1.638559E−04 
                 −2.883837E−05 
               
               
                 A10 
                 −4.040280E−05 
                 −6.554964E−05 
                 −4.570815E−05 
                 1.257647E−05 
                 2.475592E−05 
                 9.853622E−06 
                 1.306841E−06 
               
               
                 A12 
                 2.163276E−06 
                 6.752684E−06 
                 3.520462E−06 
                 −3.655210E−07 
                 −8.498852E−07 
                 −3.369603E−07 
                 −3.623542E−08 
               
               
                 A14 
                 −7.821445E−07 
                 −2.888837E−06 
                 −1.694344E−07 
                 6.481140E−09 
                 1.494319E−08 
                 5.988200E−09 
                 5.516300E−10 
               
               
                 A16 
                 5.380421E−07 
                 6.060977E−07 
                 −2.000000E−11 
                 −7.324000E−11 
                 −1.065200E−10 
                 −4.124000E−11 
                 −3.560000E−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) 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
               
            
               
                   
                 ETP1 
                 ETP2 
                 ETP3 
                 ETP4 
                 ETP5 
                 ETP6 
               
               
                   
                   
               
               
                   
                 0.597 
                 0.429 
                 0.341 
                 0.527 
                 1.176 
                 1.229 
               
               
                   
                   
               
            
           
           
               
               
               
               
               
               
               
            
               
                   
                 ETP7 
                 ETL 
                 EBL 
                 EIN 
                 EIR 
                 PIR 
               
               
                   
                   
               
               
                   
                 1.083 
                 9.300 
                 1.517 
                 7.783 
                 0.217 
                 0.366 
               
               
                   
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 EIN/ETL 
                 SETP/EIN 
                 EIR/PIR 
                 SETP 
                 STP 
                 SETP/STP 
               
               
                   
               
               
                 0.837 
                 0.691 
                 0.594 
                 5.382 
                 5.592 
                 0.962 
               
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 ETP1/TP1 
                 ETP2/TP2 
                 ETP3/TP3 
                 ETP4/TP4 
                 ETP5/TP5 
                 ETP6/TP6 
               
               
                   
               
               
                 0.671 
                 1.430 
                 0.481 
                 1.022 
                 1.197 
                 0.778 
               
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 ETP7/TP7 
                 BL 
                 EBL/BL 
                 SED 
                 SIN 
                 SED/SIN 
               
               
                   
               
               
                 1.754 
                 1.666 
                 0.9106 
                 2.401 
                 2.500 
                 0.960 
               
               
                   
               
            
           
           
               
               
               
               
               
               
               
            
               
                   
                 ED12 
                 ED23 
                 ED34 
                 ED45 
                 ED56 
                 ED67 
               
               
                   
                   
               
               
                   
                 0.255 
                 0.097 
                 0.318 
                 0.163 
                 0.930 
                 0.637 
               
               
                   
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 ED12/ 
                 ED23/ 
                 ED34/ 
                   
                   
                   
               
               
                 IN12 
                 IN23 
                 IN34 
                 ED45/IN45 
                 ED56/IN56 
                 ED67/IN67 
               
               
                   
               
               
                 0.628 
                 0.718 
                 0.718 
                 0.271 
                 9.292 
                 0.782 
               
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 |f/f1| 
                 |f/f2| 
                 |f/f3| 
                 |f/f4| 
                 |f/f5| 
                 |f/f6| 
               
               
                   
               
               
                 0.5482 
                 0.1227 
                 0.5306 
                 0.2880 
                 0.2609 
                 1.0123 
               
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 |f/f7| 
                 ΣPPR 
                 ΣNPR 
                 ΣPPR/|ΣNPR| 
                 IN12/f 
                 IN67/f 
               
               
                   
               
               
                 1.3427 
                 2.3790 
                 1.7264 
                 1.3780 
                 0.0592 
                 0.1187 
               
               
                   
               
            
           
           
               
               
               
               
            
               
                 |f1/f2| 
                 |f2/f3| 
                 (TP1 + IN12)/TP2 
                 (TP7 + IN67)/TP6 
               
               
                   
               
               
                 0.2238 
                 4.3238 
                 4.3185 
                 0.9072 
               
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 HOS 
                 InTL 
                 HOS/HOI 
                 InS/HOS 
                 ODT % 
                 TDT % 
               
               
                   
               
               
                 9.7580 
                 8.0922 
                 1.3011 
                 0.8775 
                 2.5000 
                 2.4000 
               
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 HVT11 
                 HVT12 
                 HVT21 
                 HVT22 
                 HVT31 
                 HVT32 
               
               
                   
               
               
                 0.0000 
                 0.0000 
                 1.2678 
                 1.5900 
                 0.0000 
                 0.0000 
               
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 HVT61 
                 HVT62 
                 HVT71 
                 HVT72 
                 HVT72/HOI 
                 HVT72/HOS 
               
               
                   
               
               
                 2.8404 
                 0.0000 
                 0.0000 
                 3.5321 
                 0.4710 
                 0.3620 
               
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 MTFE0 
                 MTFE3 
                 MTFE7 
                 MTFQ0 
                 MTFQ3 
                 MTFQ7 
               
               
                   
               
               
                 0.84 
                 0.67 
                 0.67 
                 0.65 
                 0.45 
                 0.4 
               
               
                   
               
            
           
           
               
               
               
            
               
                 MTFI0 
                 MTFI3 
                 MTFI7 
               
               
                   
               
               
                 0.78 
                 0.61 
                 0.57 
               
               
                   
               
            
           
         
       
     
     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) 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                 HIF121 
                 1.3972 
                 HIF121/HOI 
                 0.1863 
                 SGI121 
                 0.1168 
                 |SGI121|/(|SGI121| + TP1) 
                 0.1162 
               
               
                 HIF122 
                 1.9644 
                 HIF122/HOI 
                 0.2619 
                 SGI122 
                 0.1889 
                 |SGI122|/(|SGI122| + TP1) 
                 0.1752 
               
               
                 HIF211 
                 0.7306 
                 HIF211/HOI 
                 0.0974 
                 SGI211 
                 0.0429 
                 |SGI211|/(|SGI211| + TP2) 
                 0.1250 
               
               
                 HIF221 
                 0.9819 
                 HIF221/HOI 
                 0.1309 
                 SGI221 
                 0.0928 
                 |SGI221|/(|SGI221| + TP2) 
                 0.2363 
               
               
                 HIF311 
                 1.4063 
                 HIF311/HOI 
                 0.1875 
                 SGI311 
                 0.0669 
                 |SGI311|/(|SGI311| + TP3) 
                 0.0863 
               
               
                 HIF312 
                 1.6254 
                 HIF312/HOI 
                 0.2167 
                 SGI312 
                 0.0894 
                 |SGI312|/(|SGI312| + TP3) 
                 0.1120 
               
               
                 HIF321 
                 1.6900 
                 HIF321/HOI 
                 0.2253 
                 SGI321 
                 −0.2345 
                 |SGI321|/(|SGI321| + TP3) 
                 0.2486 
               
               
                 HIF421 
                 2.1180 
                 HIF421/HOI 
                 0.2824 
                 SGI421 
                 −0.7420 
                 |SGI421|/(|SGI421| + TP4) 
                 0.5902 
               
               
                 HIF521 
                 2.1477 
                 HIF521/HOI 
                 0.2864 
                 SGI521 
                 −0.8933 
                 |SGI521|/(|SGI521| + TP5) 
                 0.4762 
               
               
                 HIF522 
                 2.9216 
                 HIF522/HOI 
                 0.3895 
                 SGI522 
                 −1.3728 
                 |SGI522|/(|SGI522| + TP5) 
                 0.5829 
               
               
                 HIF611 
                 1.8402 
                 HIF611/HOI 
                 0.2454 
                 SGI611 
                 0.2234 
                 |SGI611|/(|SGI611| + TP6) 
                 0.1239 
               
               
                 HIF612 
                 3.9456 
                 HIF612/HOI 
                 0.5261 
                 SGI612 
                 0.0074 
                 |SGI612|/(|SGI612| + TP6) 
                 0.0047 
               
               
                 HIF621 
                 1.4937 
                 HIF621/HOI 
                 0.1992 
                 SGI621 
                 −0.1064 
                 |SGI621|/(|SGI621| + TP6) 
                 0.0631 
               
               
                 HIF622 
                 2.5164 
                 HIF622/HOI 
                 0.3355 
                 SGI622 
                 −0.2040 
                 |SGI622|/(|SGI622| + TP6) 
                 0.1144 
               
               
                 HIF711 
                 2.5652 
                 HIF711/HOI 
                 0.3420 
                 SGI711 
                 −0.6203 
                 |SGI711|/(|SGI711| + TP7) 
                 0.5012 
               
               
                 HIF712 
                 4.3050 
                 HIF712/HOI 
                 0.5740 
                 SGI712 
                 −1.2247 
                 |SGI712|/(|SGI712| + TP7) 
                 0.6649 
               
               
                 HIF721 
                 1.4814 
                 HIF721/HOI 
                 0.1975 
                 SGI721 
                 0.1146 
                 |SGI721|/(|SGI721| + TP7) 
                 0.1565 
               
               
                   
               
            
           
         
       
     
     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 , a second lens  520 , a third lens  530 , an aperture  500 , 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  shows a modulation transformation of the optical image capturing system  50  of the fifth embodiment of the present application in visible spectrum, and  FIG. 5D  shows a modulation transformation of the optical image capturing system  50  of the fifth embodiment of the present application in infrared spectrum. 
     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 image-side surface  524  has 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 concave aspheric surface 
     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 concave aspheric surface, and an image-side surface  544 , which faces the image side, is a convex aspheric surface. 
     The fifth lens  550  has positive refractive power and is made of plastic. An object-side surface  552 , which faces the object side, is a convex aspheric surface, and an image-side surface  554 , which faces the image side, is a convex aspheric surface. The object-side surface  552  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 an inflection point. 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 convex surface. It may help to shorten the back focal length to keep small in size. In addition, the object-side surface  572  and the image-side surface  574  both have 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=178.9037 mm; and f1/ΣPP=0.4233, 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=−41.0270 mm; and f7/ΣNP=0.7332, 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 = 6.7437 mm; f/HEP = 1.2; HAF = 47.4980 deg 
               
            
           
           
               
               
               
               
               
               
               
            
               
                   
                   
                   
                   
                   
                   
                 Focal 
               
               
                   
                 Radius of 
                 Thickness 
                   
                 Refractive 
                 Abbe 
                 length 
               
               
                 Surface 
                 curvature (mm) 
                 (mm) 
                 Material 
                 index 
                 number 
                 (mm) 
               
               
                   
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                 0 
                 Object 
                 plane 
                 infinity 
                   
                   
                   
                   
               
               
                 1 
                 1 st  lens 
                 38.41549872 
                 3.083 
                 plastic 
                 1.650 
                 21.40 
                 75.725 
               
               
                 2 
                   
                 164.5702173 
                 0.051 
               
               
                 3 
                 2 nd  lens 
                 25.05742058 
                 1.828 
                 plastic 
                 1.514 
                 56.80 
                 −10.923 
               
               
                 4 
                   
                 4.484579084 
                 1.422 
               
               
                 5 
                 3 rd  lens 
                 7.747689137 
                 4.336 
                 plastic 
                 1.650 
                 21.40 
                 48.146 
               
               
                 6 
                   
                 7.993162782 
                 1.838 
               
               
                 7 
                 Aperture 
                 plane 
                 0.660 
               
               
                 8 
                 4 th  lens 
                 −28.36730639 
                 5.531 
                 plastic 
                 1.565 
                 58.00 
                 15.401 
               
               
                 9 
                   
                 −7.145672538 
                 0.116 
               
               
                 10 
                 5 th  lens 
                 18.70637432 
                 5.689 
                 plastic 
                 1.565 
                 58.00 
                 15.622 
               
               
                 11 
                   
                 −14.96142417 
                 1.411 
               
               
                 12 
                 6 th  lens 
                 14.99356494 
                 5.269 
                 plastic 
                 1.565 
                 58.00 
                 24.011 
               
               
                 13 
                   
                 −128.6124653 
                 1.108 
               
               
                 14 
                 7 th  lens 
                 −15.50208128 
                 0.673 
                 plastic 
                 1.650 
                 21.40 
                 −30.104 
               
               
                 15 
                   
                 −73.56363056 
                 0.700 
               
               
                 16 
                 Infrared 
                 plane 
                 0.200 
                 BK_7 
                 1.517 
                 64.2 
               
               
                   
                 rays 
               
               
                   
                 filter 
               
               
                 17 
                   
                 plane 
                 1.085 
               
               
                 18 
                 Image 
                 plane 
               
               
                   
                 plane 
               
               
                   
               
               
                 Reference wavelength (d-line): 555 nm. 
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 10 
               
               
                   
               
               
                 Coefficients of the aspheric surfaces 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
            
               
                   
                 Surface 
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                   
                 1 
                 2 
                 3 
                 4 
                 5 
                 6 
                 8 
               
               
                   
               
               
                 k 
                 −1.516714E+00 
                 3.374432E+01 
                 1.818263E+00 
                 −6.750988E−01 
                 −2.849603E−01 
                 3.933454E+00 
                 3.860484E+01 
               
               
                 A4 
                 1.595233E−05 
                 1.684952E−05 
                 −3.775903E−05 
                 −9.580167E−05 
                 −5.691900E−05 
                 2.051521E−04 
                 −3.259130E−04 
               
               
                 A6 
                 −4.019400E−10 
                 7.312610E−09 
                 1.329275E−07 
                 −5.194715E−06 
                 9.286641E−07 
                 1.985735E−05 
                 −7.981440E−06 
               
               
                 A8 
                 −3.420000E−12 
                 7.920000E−11 
                 3.386200E−10 
                 −9.256678E−08 
                 6.189397E−08 
                 2.853734E−07 
                 −1.012572E−06 
               
               
                 A10 
                 −1.600000E−13 
                 4.800000E−13 
                 6.250000E−12 
                 −1.423600E−09 
                 1.543630E−09 
                 −5.527219E−08 
                 9.907847E−08 
               
               
                 A12 
                 0.000000E+00 
                 0.000000E+00 
                 3.000000E−14 
                 −2.774000E−11 
                 2.586000E−11 
                 2.995300E−09 
                 7.424600E−08 
               
               
                 A14 
                 0.000000E+00 
                 0.000000E+00 
                 0.000000E+00 
                 0.000000E+00 
                 −4.300000E−13 
                 9.873100E−10 
                 −3.558300E−10 
               
               
                 A16 
                 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 
                 2.380207E−01 
                 −1.960669E+00 
                 −2.123206E+00 
                 −4.403179E+00 
                 3.356474E+01 
                 2.175100E+00 
                 2.296751E+01 
               
               
                 A4 
                 −2.839258E−04 
                 −2.349293E−05 
                 4.885172E−05 
                 −2.214845E−04 
                 −1.475931E−04 
                 9.883455E−05 
                 1.851032E−04 
               
               
                 A6 
                 −6.140481E−06 
                 −2.272014E−08 
                 −1.121620E−07 
                 −4.434699E−08 
                 −1.930089E−06 
                 2.233778E−07 
                 7.070317E−07 
               
               
                 A8 
                 2.575404E−08 
                 7.875300E−10 
                 −3.165880E−09 
                 5.862920E−09 
                 −1.477393E−08 
                 9.015100E−10 
                 −1.216596E−08 
               
               
                 A10 
                 1.171000E−10 
                 −3.042000E−11 
                 −2.164000E−11 
                 1.318900E−10 
                 −8.832000E−11 
                 6.273000E−11 
                 1.844300E−10 
               
               
                 A12 
                 −7.053000E−11 
                 −3.800000E−13 
                 −1.000000E−14 
                 1.420000E−12 
                 4.380000E−12 
                 −1.600000E−13 
                 −6.780000E−12 
               
               
                 A14 
                 −3.270000E−12 
                 0.000000E+00 
                 0.000000E+00 
                 0.000000E+00 
                 6.000000E−14 
                 7.000000E−14 
                 2.500000E−13 
               
               
                 A16 
                 0.000000E+00 
                 0.000000E+00 
                 0.000000E+00 
                 0.000000E+00 
                 0.000000E+00 
                 0.000000E+00 
                 0.000000E+00 
               
               
                   
               
            
           
         
       
     
     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) 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
               
            
               
                   
                 ETP1 
                 ETP2 
                 ETP3 
                 ETP4 
                 ETP5 
                 ETP6 
               
               
                   
                   
               
               
                   
                 3.005 
                 2.573 
                 4.450 
                 5.109 
                 5.222 
                 4.986 
               
               
                   
                   
               
            
           
           
               
               
               
               
               
               
               
            
               
                   
                 ETP7 
                 ETL 
                 EBL 
                 EIN 
                 EIR 
                 PIR 
               
               
                   
                   
               
               
                   
                 0.886 
                 34.896 
                 2.027 
                 32.869 
                 0.742 
                 0.700 
               
               
                   
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 EIN/ETL 
                 SETP/EIN 
                 EIR/PIR 
                 SETP 
                 STP 
                 SETP/STP 
               
               
                   
               
               
                 0.942 
                 0.798 
                 1.060 
                 26.230 
                 26.410 
                 0.993 
               
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 ETP1/TP1 
                 ETP2/TP2 
                 ETP3/TP3 
                 ETP4/TP4 
                 ETP5/TP5 
                 ETP6/TP6 
               
               
                   
               
               
                 0.975 
                 1.407 
                 1.026 
                 0.924 
                 0.918 
                 0.946 
               
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 ETP7/TP7 
                 BL 
                 EBL/BL 
                 SED 
                 SIN 
                 SED/SIN 
               
               
                   
               
               
                 1.317 
                 1.985 
                 1.0212 
                 6.639 
                 6.605 
                 1.005 
               
               
                   
               
            
           
           
               
               
               
               
               
               
               
            
               
                   
                 ED12 
                 ED23 
                 ED34 
                 ED45 
                 ED56 
                 ED67 
               
               
                   
                   
               
               
                   
                 0.183 
                 1.040 
                 1.685 
                 0.927 
                 1.911 
                 0.893 
               
               
                   
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 ED12/ 
                 ED23/ 
                 ED34/ 
                   
                   
                   
               
               
                 IN12 
                 IN23 
                 IN34 
                 ED45/IN45 
                 ED56/IN56 
                 ED67/IN67 
               
               
                   
               
               
                 3.581 
                 0.731 
                 0.675 
                 7.975 
                 1.355 
                 0.806 
               
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 |f/f1| 
                 |f/f2| 
                 |f/f3| 
                 |f/f4| 
                 |f/f5| 
                 |f/f6| 
               
               
                   
               
               
                 0.0891 
                 0.6174 
                 0.1401 
                 0.4379 
                 0.4317 
                 0.2809 
               
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 |f/f7| 
                 ΣPPR 
                 ΣNPR 
                 ΣPPR/|ΣNPR| 
                 IN12/f 
                 IN67/f 
               
               
                   
               
               
                 0.2240 
                 1.3796 
                 0.8414 
                 1.6396 
                 0.0076 
                 0.1643 
               
               
                   
               
            
           
           
               
               
               
               
            
               
                 |f1/f2| 
                 |f2/f3| 
                 (TP1 + IN12)/TP2 
                 (TP7 + IN67)/TP6 
               
               
                   
               
               
                 6.9326 
                 0.2269 
                 1.7147 
                 0.3379 
               
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 HOS 
                 InTL 
                 HOS/HOI 
                 InS/HOS 
                 ODT % 
                 TDT % 
               
               
                   
               
               
                 35.0000 
                 33.0149 
                 4.6667 
                 0.6412 
                 2.4971 
                 0.4277 
               
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 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 
               
               
                   
               
               
                 0.0000 
                 0.0000 
                 0.0000 
                 4.2248 
                 0.5633 
                 0.1207 
               
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 MTFE0 
                 MTFE3 
                 MTFE7 
                 MTFQ0 
                 MTFQ3 
                 MTFQ7 
               
               
                   
               
               
                 0.15 
                 0.03 
                 0.17 
                 0.01 
                 0.078 
                 0.097 
               
               
                   
               
            
           
           
               
               
               
            
               
                 MTFI0 
                 MTFI3 
                 MTFI7 
               
               
                   
               
               
                 0.03 
                 0.01 
                 0.01 
               
               
                   
               
            
           
         
       
     
     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) 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                 HIF121 
                 2.3213 
                 HIF121/HOI 
                 0.3095 
                 SGI121 
                 0.1503 
                 |SGI121|/(|SGI121| + TP1) 
                 0.1102 
               
               
                 HIF122 
                 2.3596 
                 HIF122/HOI 
                 0.3146 
                 SGI122 
                 0.1549 
                 |SGI122|/(|SGI122| + TP1) 
                 0.1132 
               
               
                 HIF211 
                 0.7262 
                 HIF211/HOI 
                 0.0968 
                 SGI211 
                 0.0280 
                 |SGI211|/(|SGI211| + TP2) 
                 0.0492 
               
               
                 HIF221 
                 1.0711 
                 HIF221/HOI 
                 0.1428 
                 SGI221 
                 0.1024 
                 |SGI221|/(|SGI221| + TP2) 
                 0.1591 
               
               
                 HIF311 
                 2.2817 
                 HIF311/HOI 
                 0.3042 
                 SGI311 
                 −0.1592 
                 |SGI311|/(|SGI311| + TP3) 
                 0.1473 
               
               
                 HIF321 
                 2.7143 
                 HIF321/HOI 
                 0.3619 
                 SGI321 
                 −0.6623 
                 |SGI321|/(|SGI321| + TP3) 
                 0.4181 
               
               
                 HIF411 
                 0.2581 
                 HIF411/HOI 
                 0.0344 
                 SGI411 
                 −0.0002 
                 |SGI411|/(|SGI411| + TP4) 
                 0.0002 
               
               
                 HIF412 
                 0.9763 
                 HIF412/HOI 
                 0.1302 
                 SGI412 
                 0.0012 
                 |SGI412|/(|SGI412| + TP4) 
                 0.0011 
               
               
                 HIF413 
                 1.6099 
                 HIF413/HOI 
                 0.2147 
                 SGI413 
                 0.0025 
                 |SGI413|/(|SGI413| + TP4) 
                 0.0023 
               
               
                 HIF414 
                 2.1553 
                 HIF414/HOI 
                 0.2874 
                 SGI414 
                 0.0041 
                 |SGI414|/(|SGI414| + TP4) 
                 0.0038 
               
               
                 HIF421 
                 3.1927 
                 HIF421/HOI 
                 0.4257 
                 SGI421 
                 −0.7812 
                 |SGI421|/(|SGI421| + TP4) 
                 0.4182 
               
               
                 HIF521 
                 3.8199 
                 HIF521/HOI 
                 0.5093 
                 SGI521 
                 −2.0739 
                 |SGI521|/(|SGI521| + TP5) 
                 0.7243 
               
               
                 HIF611 
                 1.5835 
                 HIF611/HOI 
                 0.2111 
                 SGI611 
                 0.1362 
                 |SGI611|/(|SGI611| + TP6) 
                 0.1026 
               
               
                 HIF612 
                 4.0634 
                 HIF612/HOI 
                 0.5418 
                 SGI612 
                 −0.2673 
                 |SGI612|/(|SGI612| + TP6) 
                 0.1833 
               
               
                 HIF613 
                 4.3009 
                 HIF613/HOI 
                 0.5735 
                 SGI613 
                 −0.4534 
                 |SGI613|/(|SGI613| + TP6) 
                 0.2756 
               
               
                 HIF621 
                 1.8405 
                 HIF621/HOI 
                 0.2454 
                 SGI621 
                 −0.1107 
                 |SGI621|/(|SGI621| + TP6) 
                 0.0850 
               
               
                 HIF622 
                 2.6284 
                 HIF622/HOI 
                 0.3505 
                 SGI622 
                 −0.1977 
                 |SGI622|/(|SGI622| + TP6) 
                 0.1423 
               
               
                 HIF623 
                 3.9646 
                 HIF623/HOI 
                 0.5286 
                 SGI623 
                 −0.4724 
                 |SGI623|/(|SGI623| + TP6) 
                 0.2839 
               
               
                 HIF624 
                 4.9355 
                 HIF624/HOI 
                 0.6581 
                 SGI624 
                 −0.6399 
                 |SGI624|/(|SGI624| + TP6) 
                 0.3494 
               
               
                 HIF711 
                 3.4061 
                 HIF711/HOI 
                 0.4541 
                 SGI711 
                 −0.9805 
                 |SGI711|/(|SGI711| + TP7) 
                 0.6196 
               
               
                 HIF712 
                 5.0056 
                 HIF712/HOI 
                 0.6674 
                 SGI712 
                 −1.5615 
                 |SGI712|/(|SGI712| + TP7) 
                 0.7217 
               
               
                 HIF721 
                 2.0478 
                 HIF721/HOI 
                 0.2730 
                 SGI721 
                 0.1830 
                 |SGI721|/(|SGI721| + TP7) 
                 0.2331 
               
               
                   
               
            
           
         
       
     
     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  shows a modulation transformation of the optical image capturing system  60  of the sixth embodiment of the present application in visible spectrum, and  FIG. 6D  shows a modulation transformation of the optical image capturing system  60  of the sixth embodiment of the present application in infrared spectrum. 
     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 convex aspheric surface. The object-side surface  612  has an inflection point. 
     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  612  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 convex aspheric surface, and an image-side surface  644 , which faces the image side, is a convex aspheric surface. The object-side surface  642  has two inflection points. 
     The fifth lens  650  has negative 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  and the image-side surface  654  both have two inflection points. 
     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 two inflection points, and the image-side surface  664  has three 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 convex surface, and an image-side surface  674 , which faces the image side, is a concave surface. The object-side surface  672  and the image-side surface  674  both have 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=62.7420 mm; and f1/ΣPP=0.2381, 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=−88.6984 mm; and f7/ΣNP=0.0806, 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 = 6.830 mm; f/HEP = 1.6; HAF = 47.5 deg 
               
            
           
           
               
               
               
               
               
               
               
            
               
                   
                   
                   
                   
                   
                   
                 Focal 
               
               
                   
                 Radius of 
                 Thickness 
                   
                 Refractive 
                 Abbe 
                 length 
               
               
                 Surface 
                 curvature (mm) 
                 (mm) 
                 Material 
                 index 
                 number 
                 (mm) 
               
               
                   
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                 0 
                 Object 
                 plane 
                 infinity 
                   
                   
                   
                   
               
               
                 1 
                 1 st  lens 
                 22.92669222 
                 0.782 
                 plastic 
                 1.544 
                 55.96 
                 14.940 
               
               
                 2 
                   
                 −12.50533563 
                 0.101 
               
               
                 3 
                 Aperture 
                 plane 
                 0.100 
               
               
                 4 
                 2 nd  lens 
                 3.414733165 
                 0.400 
                 plastic 
                 1.642 
                 22.46 
                 −27.654 
               
               
                 5 
                   
                 2.735872028 
                 0.627 
               
               
                 6 
                 3 rd  lens 
                 25.0700232 
                 1.114 
                 plastic 
                 1.544 
                 55.96 
                 26.746 
               
               
                 7 
                   
                 −34.41000821 
                 0.210 
               
               
                 8 
                 4 th  lens 
                 89.20096062 
                 1.274 
                 plastic 
                 1.544 
                 55.96 
                 14.495 
               
               
                 9 
                   
                 −8.638595141 
                 0.560 
               
               
                 10 
                 5 th  lens 
                 −2.047917945 
                 0.689 
                 plastic 
                 1.642 
                 22.46 
                 −53.900 
               
               
                 11 
                   
                 −2.463255196 
                 0.100 
               
               
                 12 
                 6 th  lens 
                 6.29780764 
                 1.101 
                 plastic 
                 1.544 
                 55.96 
                 6.562 
               
               
                 13 
                   
                 −7.792827475 
                 0.100 
               
               
                 14 
                 7 th  lens 
                 1.817247142 
                 0.403 
                 plastic 
                 1.642 
                 22.46 
                 −7.145 
               
               
                 15 
                   
                 1.191109992 
                 1.139 
               
               
                 16 
                 Infrared 
                 plane 
                 0.300 
                 BK_7 
                 1.517 
                 64.2 
               
               
                   
                 rays 
               
               
                   
                 filter 
               
               
                 17 
                   
                 plane 
                 2.100 
               
               
                 18 
                 Image 
                 plane 
                 0.000 
               
               
                   
                 plane 
               
               
                   
               
               
                 Reference wavelength (d-line): 555 nm; the position of blocking light: blocking at the first surface with effective semi diameter of 2.200 mm; blocking at the seventh surface with effective semi diameter of 2.275 mm. 
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 12 
               
               
                   
               
               
                 Coefficients of the aspheric surfaces 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
            
               
                   
                 Surface 
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                   
                 1 
                 2 
                 4 
                 5 
                 6 
                 7 
                 8 
               
               
                   
               
               
                 k 
                 8.519837E+01 
                 −9.000000E+01 
                 −3.351396E+00 
                 −9.397617E−01 
                 −1.916083E+01 
                 3.401159E+01 
                 9.000000E+01 
               
               
                 A4 
                 2.374462E−03 
                 −5.838686E−03 
                 −2.291764E−02 
                 −3.213095E−02 
                 −2.459788E−03 
                 −2.687800E−02 
                 −3.504567E−02 
               
               
                 A6 
                 −1.612226E−03 
                 4.395112E−03 
                 9.276993E−03 
                 7.779255E−03 
                 7.321283E−04 
                 8.896301E−03 
                 1.368358E−02 
               
               
                 A8 
                 5.288473E−04 
                 −2.200633E−03 
                 −4.200876E−03 
                 −2.129420E−03 
                 −2.008436E−03 
                 −6.128646E−03 
                 −8.251017E−03 
               
               
                 A10 
                 −1.576862E−04 
                 6.372117E−04 
                 1.117507E−03 
                 1.850027E−04 
                 1.142530E−03 
                 2.252164E−03 
                 2.801748E−03 
               
               
                 A12 
                 3.075118E−05 
                 −1.149037E−04 
                 −1.799793E−04 
                 5.218940E−05 
                 −3.532551E−04 
                 −4.656386E−04 
                 −5.316745E−04 
               
               
                 A14 
                 −3.944190E−06 
                 1.062391E−05 
                 1.162220E−05 
                 −1.954396E−05 
                 5.267700E−05 
                 5.089052E−05 
                 5.254294E−05 
               
               
                 A16 
                 1.933549E−07 
                 −3.588671E−07 
                 2.716061E−07 
                 1.982470E−06 
                 −3.502449E−06 
                 −2.347679E−06 
                 −2.052826E−06 
               
               
                   
               
            
           
           
               
               
            
               
                   
                 Surface 
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                   
                 9 
                 10 
                 11 
                 12 
                 13 
                 14 
                 15 
               
               
                   
               
               
                 k 
                 −2.670809E+01 
                 −5.682341E−01 
                 −6.598428E+01 
                 −2.726292E−00 
                 −9.000000E+01 
                 −5.542566E+00 
                 −3.272144E+00 
               
               
                 A4 
                 −3.836182E−02 
                 −2.612266E−02 
                 −1.049654E−02 
                 9.782575E−03 
                 3.354961E−02 
                 2.468524E−03 
                 −6.836340E−03 
               
               
                 A6 
                 9.267657E−03 
                 2.022422E−02 
                 8.397277E−03 
                 −1.182916E−03 
                 −4.676770E−03 
                 −2.596987E−03 
                 −3.917020E−04 
               
               
                 A8 
                 −2.459905E−03 
                 −5.248210E−03 
                 −1.737698E−03 
                 −1.797794E−05 
                 2.884197E−04 
                 3.240621E−04 
                 8.533027E−05 
               
               
                 A10 
                 4.634531E−04 
                 8.507499E−04 
                 2.058819E−04 
                 6.239689E−06 
                 −8.287770E−06 
                 −1.834018E−05 
                 −5.100116E−06 
               
               
                 A12 
                 −5.102977E−05 
                 −7.181237E−05 
                 −1.044135E−05 
                 −2.938476E−07 
                 4.544651E−08 
                 5.321956E−07 
                 1.467939E−07 
               
               
                 A14 
                 2.681167E−06 
                 2.426471E−06 
                 4.487730E−08 
                 5.833340E−09 
                 2.555930E−09 
                 −7.576070E−09 
                 −2.082250E−09 
               
               
                 A16 
                 −4.196504E−08 
                 4.307730E−09 
                 8.094270E−09 
                 −4.375000E−11 
                 −3.796000E−11 
                 4.053000E−11 
                 1.160000E−11 
               
               
                   
               
            
           
         
       
     
     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) 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
               
            
               
                   
                 ETP1 
                 ETP2 
                 ETP3 
                 ETP4 
                 ETP5 
                 ETP6 
               
               
                   
                   
               
               
                   
                 0.509 
                 0.530 
                 0.762 
                 1.105 
                 0.884 
                 0.872 
               
               
                   
                   
               
            
           
           
               
               
               
               
               
               
               
            
               
                   
                 ETP7 
                 ETL 
                 EBL 
                 EIN 
                 EIR 
                 PIR 
               
               
                   
                   
               
               
                   
                 0.639 
                 11.005 
                 2.723 
                 8.283 
                 0.323 
                 1.139 
               
               
                   
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 EIN/ETL 
                 SETP/EIN 
                 EIR/PIR 
                 SETP 
                 STP 
                 SETP/STP 
               
               
                   
               
               
                 0.753 
                 0.640 
                 0.283 
                 5.300 
                 5.964 
                 0.920 
               
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 ETP1/TP1 
                 ETP2/TP2 
                 ETP3/TP3 
                 ETP4/TP4 
                 ETP5/TP5 
                 ETP6/TP6 
               
               
                   
               
               
                 0.651 
                 1.325 
                 0.684 
                 0.867 
                 1.283 
                 0.792 
               
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 ETP7/TP7 
                 BL 
                 EBL/BL 
                 SED 
                 SIN 
                 SED/SIN 
               
               
                   
               
               
                 1.586 
                 3.539 
                 0.7694 
                 2.983 
                 1.799 
                 1.658 
               
               
                   
               
            
           
           
               
               
               
               
               
               
               
            
               
                   
                 ED12 
                 ED23 
                 ED34 
                 ED45 
                 ED56 
                 ED67 
               
               
                   
                   
               
               
                   
                 0.640 
                 0.105 
                 0.274 
                 0.133 
                 1.340 
                 0.491 
               
               
                   
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 ED12/ 
                 ED23/ 
                 ED34/ 
                   
                   
                   
               
               
                 IN12 
                 IN23 
                 IN34 
                 ED45/IN45 
                 ED56/IN56 
                 ED67/IN67 
               
               
                   
               
               
                 3.179 
                 0.168 
                 1.307 
                 0.237 
                 13.398 
                 4.907 
               
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 |f/f1| 
                 |f/f2| 
                 |f/f3| 
                 |f/f4| 
                 |f/f5| 
                 |f/f6| 
               
               
                   
               
               
                 0.4572 
                 0.2470 
                 0.2554 
                 0.4712 
                 0.1267 
                 1.0409 
               
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 |f/f7| 
                 ΣPPR 
                 ΣNPR 
                 ΣPPR/|ΣNPR| 
                 IN12/f 
                 IN67/f 
               
               
                   
               
               
                 0.9560 
                 2.2248 
                 1.3297 
                 1.6731 
                 0.0295 
                 0.0146 
               
               
                   
               
            
           
           
               
               
               
               
            
               
                 |f1/f2| 
                 |f2/f3| 
                 (TP1 + IN12)/TP2 
                 (TP7 + IN67)/TP6 
               
               
                   
               
               
                 0.5402 
                 1.0340 
                 2.4583 
                 0.4566 
               
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 HOS 
                 InTL 
                 HOS/HOI 
                 InS/HOS 
                 ODT % 
                 TDT % 
               
               
                   
               
               
                 11.1019 
                 7.5625 
                 1.4803 
                 0.9204 
                 2.0054 
                 1.3214 
               
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 HVT11 
                 HVT12 
                 HVT21 
                 HVT22 
                 HVT31 
                 HVT32 
               
               
                   
               
               
                 2.1665 
                 0.0000 
                 1.9156 
                 0.0000 
                 1.3729 
                 0.0000 
               
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 HVT61 
                 HVT62 
                 HVT71 
                 HVT72 
                 HVT72/HOI 
                 HVT72/HOS 
               
               
                   
               
               
                 3.2480 
                 0.0000 
                 2.8232 
                 3.4670 
                 0.4623 
                 0.3123 
               
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 MTFE0 
                 MTFE3 
                 MTFE7 
                 MTFQ0 
                 MTFQ3 
                 MTFQ7 
               
               
                   
               
               
                 0.86 
                 0.66 
                 0.53 
                 0.68 
                 0.4 
                 0.28 
               
               
                   
               
            
           
           
               
               
               
            
               
                 MTFI0 
                 MTFI3 
                 MTFI7 
               
               
                   
               
               
                 0.77 
                 0.65 
                 0.5 
               
               
                   
               
            
           
         
       
     
     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) 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                 HIF111 
                 1.6856 
                 HIF111/HOI 
                 0.2247 
                 SGI111 
                 0.0702 
                 |SGI111|/(|SGI111| + TP1) 
                 0.0823 
               
               
                 HIF211 
                 1.1663 
                 HIF211/HOI 
                 0.1555 
                 SGI211 
                 0.1579 
                 |SGI211|/(|SGI211| + TP2) 
                 0.2830 
               
               
                 HIF221 
                 1.2636 
                 HIF221/HOI 
                 0.1685 
                 SGI221 
                 0.2310 
                 |SGI221|/(|SGI221| + TP2) 
                 0.3661 
               
               
                 HIF311 
                 0.8985 
                 HIF311/HOI 
                 0.1198 
                 SGI311 
                 0.0142 
                 |SGI311|/(|SGI311| + TP3) 
                 0.0126 
               
               
                 HIF411 
                 0.1655 
                 HIF411/HOI 
                 0.0221 
                 SGI411 
                 0.0001 
                 |SGI411|/(|SGI411| + TP4) 
                 0.0001 
               
               
                 HIF412 
                 2.2930 
                 HIF412/HOI 
                 0.3057 
                 SGI412 
                 −0.5927 
                 |SGI412|/(|SGI412| + TP4) 
                 0.3175 
               
               
                 HIF511 
                 1.7740 
                 HIF511/HOI 
                 0.2365 
                 SGI511 
                 −0.7862 
                 |SGI511|/(|SGI511| + TP5) 
                 0.5329 
               
               
                 HIF512 
                 2.8492 
                 HIF512/HOI 
                 0.3799 
                 SGI512 
                 −1.3557 
                 |SGI512|/(|SGI512| + TP5) 
                 0.6630 
               
               
                 HIF521 
                 1.8793 
                 HIF521/HOI 
                 0.2506 
                 SGI521 
                 −0.6944 
                 |SGI521|/(|SGI521| + TP5) 
                 0.5019 
               
               
                 HIF522 
                 3.2152 
                 HIF522/HOI 
                 0.4287 
                 SGI522 
                 −1.0509 
                 |SGI522|/(|SGI522| + TP5) 
                 0.6040 
               
               
                 HIF611 
                 2.1327 
                 HIF611/HOI 
                 0.2844 
                 SGI611 
                 0.4380 
                 |SGI611|/(|SGI611| + TP6) 
                 0.2845 
               
               
                 HIF612 
                 4.1144 
                 HIF612/HOI 
                 0.5486 
                 SGI612 
                 0.5361 
                 |SGI612|/(|SGI612| + TP6) 
                 0.3274 
               
               
                 HIF621 
                 0.4745 
                 HIF621/HOI 
                 0.0633 
                 SGI621 
                 −0.0118 
                 |SGI621|/(|SGI621| + TP6) 
                 0.0106 
               
               
                 HIF622 
                 2.3646 
                 HIF622/HOI 
                 0.3153 
                 SGI622 
                 0.2918 
                 |SGI622|/(|SGI622| + TP6) 
                 0.2094 
               
               
                 HIF623 
                 5.0158 
                 HIF623/HOI 
                 0.6688 
                 SGI623 
                 0.0632 
                 |SGI623|/(|SGI623| + TP6) 
                 0.0543 
               
               
                 HIF711 
                 1.2844 
                 HIF711/HOI 
                 0.1713 
                 SGI711 
                 0.3205 
                 |SGI711|/(|SGI711| + TP7) 
                 0.4431 
               
               
                 HIF721 
                 1.2208 
                 HIF721/HOI 
                 0.1628 
                 SGI721 
                 0.4244 
                 |SGI721|/(|SGI721| + TP7) 
                 0.5131 
               
               
                   
               
            
           
         
       
     
     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 , a second lens  720 , a third lens  730 , an aperture  700 , 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  shows a modulation transformation of the optical image capturing system  70  of the seventh embodiment of the present application in visible spectrum, and  FIG. 7D  shows a modulation transformation of the optical image capturing system  70  of the seventh embodiment of the present application in infrared spectrum. 
     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 object-side surface  712  and the image-side surface  714  both have an inflection point. 
     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  and the image-side surface  724  both have 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 convex aspheric surface, and an image-side surface  734 , which faces the image side, is a concave aspheric surface. The object-side surface  732  and the image-side surface  734  both have an inflection point. 
     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 object-side surface  742  has an inflection point. 
     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 convex aspheric surface, and an image-side surface  754 , which faces the image side, is a concave aspheric surface. The object-side surface  752  and the image-side surface  754  both have two inflection points. 
     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 concave surface. The image-side surface  762  has two inflection points, and the image-side surface  764  has an inflection point. 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 surface, and an image-side surface  774 , 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, 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=74.3451 mm; and f1/ΣPP=0.3344, 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=−4865.9186 mm; and f7/ΣNP=0.0013, 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 = 7.9627 mm; f/HEP = 1.2; HAF = 42.4993 deg 
               
            
           
           
               
               
               
               
               
               
               
            
               
                   
                   
                   
                   
                   
                   
                 Focal 
               
               
                   
                 Radius of 
                 Thickness 
                   
                 Refractive 
                 Abbe 
                 length 
               
               
                 Surface 
                 curvature (mm) 
                 (mm) 
                 Material 
                 index 
                 number 
                 (mm) 
               
               
                   
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                 0 
                 Object 
                 plane 
                 infinity 
                   
                   
                   
                   
               
               
                 1 
                 1 st  lens 
                 23.25741102 
                 4.194 
                 plastic 
                 1.650 
                 21.40 
                 38.852 
               
               
                 2 
                   
                 249.1225869 
                 0.756 
               
               
                 3 
                 2 nd  lens 
                 35.33386893 
                 1.380 
                 plastic 
                 1.565 
                 58.00 
                 −11.031 
               
               
                 4 
                   
                 5.237191673 
                 5.183 
               
               
                 5 
                 3 rd  lens 
                 9.353367306 
                 1.633 
                 plastic 
                 1.550 
                 56.50 
                 16.751 
               
               
                 6 
                   
                 −731.5920373 
                 0.050 
               
               
                 7 
                 Aperture 
                 plane 
                 1.265 
               
               
                 8 
                 4 th  lens 
                 −4.269794289 
                 1.539 
                 plastic 
                 1.650 
                 21.40 
                 −21.345 
               
               
                 9 
                   
                 −7.022091895 
                 0.050 
               
               
                 10 
                 5 th  lens 
                 26.01930755 
                 5.494 
                 plastic 
                 1.565 
                 58.00 
                 14.184 
               
               
                 11 
                   
                 −10.74451776 
                 0.050 
               
               
                 12 
                 6 th  lens 
                 13.31994285 
                 6.926 
                 plastic 
                 1.565 
                 58.00 
                 14.119 
               
               
                 13 
                   
                 −16.27410602 
                 3.385 
               
               
                 14 
                 7 th  lens 
                 −8.075088802 
                 0.870 
                 plastic 
                 1.650 
                 21.40 
                 −25.888 
               
               
                 15 
                   
                 −16.06479743 
                 0.300 
               
               
                 16 
                 Infrared 
                 plane 
                 0.200 
                 BK_7 
                 1.517 
                 64.2 
               
               
                   
                 rays 
               
               
                   
                 filter 
               
               
                 17 
                   
                 plane 
                 1.725 
               
               
                 18 
                 Image 
                 plane 
               
               
                   
                 plane 
               
               
                   
               
               
                 Reference wavelength (d-line): 555 nm. 
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 14 
               
               
                   
               
               
                 Coefficients of the aspheric surfaces 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
            
               
                   
                 Surface 
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                   
                 1 
                 2 
                 4 
                 5 
                 6 
                 7 
                 8 
               
               
                   
               
               
                 k 
                 7.259491E−01 
                 5.000000E+01 
                 7.032207E+00 
                 −9.630902E−01 
                 9.539991E−01 
                 −5.000000E+01 
                 −2.096807E−01 
               
               
                 A4 
                 6.063994E−05 
                 2.538166E−04 
                 −5.645850E−05 
                 5.076614E−04 
                 −2.373762E−04 
                 −5.368718E−04 
                 4.498802E−03 
               
               
                 A6 
                 3.106379E−07 
                 1.510051E−06 
                 8.820465E−06 
                 9.249612E−07 
                 −1.167773E−05 
                 8.509966E−06 
                 −1.075804E−05 
               
               
                 A8 
                 7.037070E−09 
                 3.273984E−08 
                 2.274920E−08 
                 8.824704E−07 
                 2.041107E−06 
                 4.016836E−07 
                 −7.841815E−07 
               
               
                 A10 
                 1.847000E−11 
                 4.391000E−10 
                 −1.917400E−09 
                 2.278497E−08 
                 −1.142338E−08 
                 4.836128E−08 
                 2.845209E−08 
               
               
                 A12 
                 −6.900000E−13 
                 −9.580000E−12 
                 6.620000E−12 
                 −1.100840E−09 
                 −9.736380E−09 
                 −7.583460E−09 
                 5.708490E−09 
               
               
                 A14 
                 0.000000E+00 
                 7.000000E−14 
                 4.000000E−14 
                 5.460000E−12 
                 4.516600E−10 
                 4.220200E−10 
                 −3.092000E−11 
               
               
                 A16 
                 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 
                 −3.552125E+00 
                 −4.737869E+01 
                 4.928003E−01 
                 4.371738E−01 
                 −1.987535E+01 
                 −8.551448E−02 
                 −2.740577E+00 
               
               
                 A4 
                 1.783222E−03 
                 −3.512530E−04 
                 −3.205531E−04 
                 8.511538E−05 
                 4.739271E−05 
                 1.851742E−04 
                 5.330067E−04 
               
               
                 A6 
                 1.129836E−05 
                 9.947697E−06 
                 4.753289E−06 
                 −1.481707E−06 
                 −1.077151E−06 
                 2.069437E−06 
                 6.847817E−06 
               
               
                 A8 
                 −5.336123E−07 
                 −2.123288E−07 
                 −6.764542E−08 
                 7.641320E−09 
                 −3.657354E−08 
                 3.531386E−08 
                 −1.156630E−09 
               
               
                 A10 
                 −4.851400E−10 
                 −2.454310E−09 
                 −1.715400E−09 
                 −1.624100E−10 
                 −1.223200E−10 
                 3.904100E−10 
                 −1.582240E−09 
               
               
                 A12 
                 −2.190000E−11 
                 2.976600E−10 
                 2.994000E−11 
                 −1.920000E−12 
                 1.138000E−11 
                 −2.621000E−11 
                 −2.478000E−11 
               
               
                 A14 
                 −2.750000E−12 
                 −4.760000E−12 
                 −6.000000E−14 
                 5.000000E−14 
                 −3.000000E−14 
                 3.600000E−13 
                 5.600000E−13 
               
               
                 A16 
                 0.000000E+00 
                 0.000000E+00 
                 0.000000E+00 
                 0.000000E+00 
                 0.000000E+00 
                 0.000000E+00 
                 0.000000E+00 
               
               
                   
               
            
           
         
       
     
     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) 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
               
            
               
                   
                 ETP1 
                 ETP2 
                 ETP3 
                 ETP4 
                 ETP5 
                 ETP6 
               
               
                   
                   
               
               
                   
                 4.003 
                 2.349 
                 0.975 
                 2.029 
                 4.779 
                 6.209 
               
               
                   
                   
               
            
           
           
               
               
               
               
               
               
               
            
               
                   
                 ETP7 
                 ETL 
                 EBL 
                 EIN 
                 EIR 
                 PIR 
               
               
                   
                   
               
               
                   
                 1.292 
                 34.753 
                 2.488 
                 32.266 
                 0.563 
                 0.300 
               
               
                   
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 EIN/ETL 
                 SETP/EIN 
                 EIR/PIR 
                 SETP 
                 STP 
                 SETP/STP 
               
               
                   
               
               
                 0.928 
                 0.671 
                 1.877 
                 21.636 
                 22.037 
                 0.982 
               
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 ETP1/TP1 
                 ETP2/TP2 
                 ETP3/TP3 
                 ETP4/TP4 
                 ETP5/TP5 
                 ETP6/TP6 
               
               
                   
               
               
                 0.954 
                 1.702 
                 0.597 
                 1.319 
                 0.870 
                 0.896 
               
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 ETP7/TP7 
                 BL 
                 EBL/BL 
                 SED 
                 SIN 
                 SED/SIN 
               
               
                   
               
               
                 1.484 
                 2.225 
                 1.1182 
                 10.630 
                 10.739 
                 0.990 
               
               
                   
               
            
           
           
               
               
               
               
               
               
               
            
               
                   
                 ED12 
                 ED23 
                 ED34 
                 ED45 
                 ED56 
                 ED67 
               
               
                   
                   
               
               
                   
                 0.864 
                 4.656 
                 0.405 
                 0.672 
                 1.047 
                 2.986 
               
               
                   
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 ED12/ 
                 ED23/ 
                 ED34/ 
                   
                   
                   
               
               
                 IN12 
                 IN23 
                 IN34 
                 ED45/IN45 
                 ED56/IN56 
                 ED67/IN67 
               
               
                   
               
               
                 1.143 
                 0.898 
                 0.308 
                 13.446 
                 20.938 
                 0.882 
               
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 |f/f1| 
                 |f/f2| 
                 |f/f3| 
                 |f/f4| 
                 |f/f5| 
                 |f/f6| 
               
               
                   
               
               
                 0.2050 
                 0.7218 
                 0.4754 
                 0.3731 
                 0.5614 
                 0.5640 
               
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 |f/f7| 
                 ΣPPR 
                 ΣNPR 
                 ΣPPR/|ΣNPR| 
                 IN12/f 
                 IN67/f 
               
               
                   
               
               
                 0.3076 
                 1.8057 
                 1.4025 
                 1.2875 
                 0.0949 
                 0.4251 
               
               
                   
               
            
           
           
               
               
               
               
            
               
                 |f1/f2| 
                 |f2/f3| 
                 (TP1 + IN12)/TP2 
                 (TP7 + IN67)/TP6 
               
               
                   
               
               
                 3.5220 
                 0.6586 
                 3.5876 
                 0.6143 
               
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 HOS 
                 InTL 
                 HOS/HOI 
                 InS/HOS 
                 ODT % 
                 TDT % 
               
               
                   
               
               
                 35.0000 
                 32.7755 
                 4.6667 
                 0.6230 
                 2.5133 
                 0.4529 
               
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 HVT11 
                 HVT12 
                 HVT21 
                 HVT22 
                 HVT31 
                 HVT32 
               
               
                   
               
               
                 0.0000 
                 0.0000 
                 0.0000 
                 0.0000 
                 0.0000 
                 3.7153 
               
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 HVT61 
                 HVT62 
                 HVT71 
                 HVT72 
                 HVT72/HOI 
                 HVT72/HOS 
               
               
                   
               
               
                 0.0000 
                 0.0000 
                 0.0000 
                 4.5521 
                 0.6069 
                 0.1301 
               
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 MTFE0 
                 MTFE3 
                 MTFE7 
                 MTFQ0 
                 MTFQ3 
                 MTFQ7 
               
               
                   
               
               
                 0.35 
                 0.18 
                 0.15 
                 0.257 
                 0.13 
                 0.27 
               
               
                   
               
            
           
           
               
               
               
            
               
                 MTFI0 
                 MTFI3 
                 MTFI7 
               
               
                   
               
               
                 0.03 
                 0.01 
                 0.01 
               
               
                   
               
            
           
         
       
     
     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 
                 8.0110 
                 HIF211/HOI 
                 1.0681 
                 SGI211 
                 2.0751 
                 |SGI211|/(|SGI211| + TP2) 
                 0.6006 
               
               
                 HIF321 
                 3.1408 
                 HIF321/HOI 
                 0.4188 
                 SGI321 
                 −0.0456 
                 |SGI321|/(|SGI321| + TP3) 
                 0.0272 
               
               
                 HIF411 
                 3.0619 
                 HIF411/HOI 
                 0.4082 
                 SGI411 
                 −0.8540 
                 |SGI411|/(|SGI411| + TP4) 
                 0.3569 
               
               
                 HIF421 
                 2.1505 
                 HIF421/HOI 
                 0.2867 
                 SGI421 
                 −0.2726 
                 |SGI421|/(|SGI421| + TP4) 
                 0.1505 
               
               
                 HIF511 
                 2.7916 
                 HIF511/HOI 
                 0.3722 
                 SGI511 
                 0.1164 
                 |SGI511|/(|SGI511| + TP5) 
                 0.0207 
               
               
                 HIF621 
                 7.1043 
                 HIF621/HOI 
                 0.9472 
                 SGI621 
                 −1.1205 
                 |SGI621|/(|SGI621| + TP6) 
                 0.1392 
               
               
                 HIF721 
                 2.7163 
                 HIF721/HOI 
                 0.3622 
                 SGI721 
                 −0.1951 
                 |SGI721|/(|SGI721| + TP7) 
                 0.1831 
               
               
                   
               
            
           
         
       
     
     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 , a second lens  820 , a third lens  830 , an aperture  800 , 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  shows a modulation transformation of the optical image capturing system  80  of the eighth embodiment of the present application in visible spectrum, and  FIG. 8D  shows a modulation transformation of the optical image capturing system  80  of the eighth embodiment of the present application in infrared spectrum. 
     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 concave aspheric surface, and an image-side surface  814 , which faces the image side, is a convex aspheric surface. The object-side surface  812  and image-side surface  814  both have an inflection point. 
     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 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 concave aspheric surface. The object-side surface  832  and the image-side surface  834  both have an inflection point. 
     The fourth lens  840  has negative 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 positive refractive power and is made of plastic. An object-side surface  852 , which faces the object side, is a convex aspheric surface, and an image-side surface  854 , which faces the image side, is a convex aspheric surface. The image-side surface  852  has two inflection points. 
     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 concave 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 an inflection point. 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 two inflection points. 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=80.7833 mm; and f1/ΣPP=0.3779, 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=−138.2578 mm; and f7/ΣNP=0.0605, 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 = 8.1614 mm; f/HEP = 1.2; HAF = 42.5004 deg 
               
            
           
           
               
               
               
               
               
               
               
            
               
                   
                   
                   
                   
                   
                   
                 Focal 
               
               
                   
                 Radius of 
                 Thickness 
                   
                 Refractive 
                 Abbe 
                 length 
               
               
                 Surface 
                 curvature (mm) 
                 (mm) 
                 Material 
                 index 
                 number 
                 (mm) 
               
               
                   
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                 0 
                 Object 
                 plane 
                 plane 
                   
                   
                   
                   
               
               
                 1 
                 1 st  lens 
                 −10.49584781 
                 6.025 
                 plastic 
                 1.565 
                 58.00 
                 30.531 
               
               
                 2 
                   
                 −7.889849611 
                 0.050 
               
               
                 3 
                 2 nd  lens 
                 6.202752831 
                 1.682 
                   
                 1.650 
                 21.40 
                 −100.000 
               
               
                 4 
                   
                 5.057989171 
                 0.631 
                 plastic 
               
               
                 5 
                 3 rd  lens 
                 8.240060359 
                 1.212 
                   
                 1.514 
                 56.80 
                 24.901 
               
               
                 6 
                   
                 21.84929863 
                 0.068 
                 plastic 
               
               
                 7 
                 Aperture 
                 plane 
                 0.629 
               
               
                 8 
                 4 th  lens 
                 −6.108818989 
                 0.488 
                 plastic 
                 1.650 
                 21.40 
                 −29.889 
               
               
                 9 
                   
                 −9.157845181 
                 0.326 
               
               
                 10 
                 5 th  lens 
                 20.67646082 
                 3.348 
                 plastic 
                 1.565 
                 58.00 
                 12.640 
               
               
                 11 
                   
                 −10.32046019 
                 1.729 
               
               
                 12 
                 6 th  lens 
                 −176.4958843 
                 0.903 
                 plastic 
                 1.565 
                 58.00 
                 12.712 
               
               
                 13 
                   
                 −6.934869515 
                 2.265 
               
               
                 14 
                 7 th  lens 
                 −8.974395123 
                 0.802 
                 plastic 
                 1.650 
                 21.40 
                 −8.369 
               
               
                 15 
                   
                 14.60939939 
                 0.800 
               
               
                 16 
                 Infrared 
                 plane 
                 0.200 
                 BK_7 
                 1.517 
                 64.2 
               
               
                   
                 rays 
               
               
                   
                 filter 
               
               
                 17 
                   
                 plane 
                 0.347 
               
               
                 18 
                 Image 
                 plane 
               
               
                   
                 plane 
               
               
                   
               
               
                 Reference wavelength (d-line): 555 nm. 
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 16 
               
               
                   
               
               
                 Coefficients of the aspheric surfaces 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                 Surface 
                 1 
                 2 
                 3 
                 4 
                 5 
                 6 
                 8 
               
               
                   
               
               
                 k 
                 −7.207639E+00 
                 −8.299802E+00 
                 −2.006712E+00 
                   2.810153E−02 
                   7.219310E−02 
                   2.524126E+01 
                 −8.361677E+00 
               
               
                 A4 
                   1.787113E−05 
                   3.826449E−05 
                 −2.135562E−04 
                 −3.588632E−03 
                   1.037320E−03 
                 −1.204794E−03 
                   2.089626E−03 
               
               
                 A6 
                   1.852201E−07 
                   1.050240E−06 
                   3.067715E−05 
                   1.644906E−04 
                 −5.241587E−05 
                 −9.277654E−05 
                 −4.819963E−07 
               
               
                 A8 
                   5.486010E−09 
                   3.223270E−09 
                 −9.728463E−07 
                 −1.408052E−06 
                   2.694087E−06 
                   1.860634E−06 
                 −1.817734E−06 
               
               
                 A10 
                 −4.623000E−11 
                   7.792500E−10 
                   4.669697E−08 
                 −1.070802E−07 
                   8.063412E−08 
                   9.902109E−08 
                   3.982788E−08 
               
               
                 A12 
                 −1.500000E−13 
                 −2.228000E−11 
                   2.497100E−09 
                   6.637670E−09 
                 −6.673010E−09 
                 −2.374540E−09 
                   8.887230E−09 
               
               
                 A14 
                   0.000000E+00 
                   1.400000E−13 
                 −7.056000E−11 
                   1.204990E−09 
                 −5.121100E−10 
                 −4.034000E−11 
                 −4.539000E−11 
               
               
                 A16 
                   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 
                 −1.996249E+01 
                   2.317494E+01 
                 −2.880295E+00 
                 −5.000000E+01 
                 −3.731277E+00 
                   1.196856E+00 
                 −5.000000E+01 
               
               
                 A4 
                   3.783662E−03 
                 −1.570957E−03 
                 −1.788279E−03 
                 −7.011103E−04 
                   3.908411E−04 
                 −1.217226E−03 
                 −8.358329E−04 
               
               
                 A6 
                   2.054378E−05 
                 −2.582997E−05 
                 −2.522595E−05 
                 −8.941617E−06 
                 −1.004588E−05 
                   2.950368E−05 
                 −6.544913E−06 
               
               
                 A8 
                   9.686901E−07 
                   2.275732E−07 
                 −7.370659E−07 
                 −6.887843E−07 
                   6.892740E−09 
                   3.805125E−07 
                 −3.514799E−08 
               
               
                 A10 
                   1.722921E−08 
                 −4.870903E−08 
                   2.987693E−08 
                 −2.363911E−08 
                 −5.878780E−09 
                 −1.304821E−08 
                   5.793900E−10 
               
               
                 A12 
                 −3.364610E−09 
                 −3.479600E−10 
                   7.504700E−10 
                   3.593000E−11 
                 −5.409800E−10 
                 −6.474500E−10 
                   2.020000E−11 
               
               
                 A14 
                 −1.502100E−10 
                   2.279800E−10 
                 −1.249300E−10 
                   7.625000E−11 
                   5.881000E−11 
                   6.510000E−12 
                   6.100000E−13 
               
               
                 A16 
                   0.000000E+00 
                   0.000000E+00 
                   0.000000E+00 
                   0.000000E+00 
                   0.000000E+00 
                   0.000000E+00 
                   0.000000E+00 
               
               
                   
               
            
           
         
       
     
     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) 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
               
            
               
                   
                 ETP1 
                 ETP2 
                 ETP3 
                 ETP4 
                 ETP5 
                 ETP6 
               
               
                   
                   
               
               
                   
                 5.933 
                 1.893 
                 0.454 
                 0.998 
                 2.425 
                 0.365 
               
               
                   
                   
               
            
           
           
               
               
               
               
               
               
               
            
               
                   
                 ETP7 
                 ETL 
                 EBL 
                 EIN 
                 EIR 
                 PIR 
               
               
                   
                   
               
               
                   
                 1.771 
                 21.984 
                 1.197 
                 20.787 
                 0.650 
                 0.800 
               
               
                   
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 EIN/ETL 
                 SETP/EIN 
                 EIR/PIR 
                 SETP 
                 STP 
                 SETP/STP 
               
               
                   
               
               
                 0.946 
                 0.666 
                 0.813 
                 13.841 
                 14.460 
                 0.957 
               
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 ETP1/TP1 
                 ETP2/TP2 
                 ETP3/TP3 
                 ETP4/TP4 
                 ETP5/TP5 
                 ETP6/TP6 
               
               
                   
               
               
                 0.985 
                 1.125 
                 0.375 
                 2.044 
                 0.724 
                 0.404 
               
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 ETP7/TP7 
                 BL 
                 EBL/BL 
                 SED 
                 SIN 
                 SED/SIN 
               
               
                   
               
               
                 2.208 
                 1.346 
                 1.1245 
                 6.946 
                 5.698 
                 1.219 
               
               
                   
               
            
           
           
               
               
               
               
               
               
               
            
               
                   
                 ED12 
                 ED23 
                 ED34 
                 ED45 
                 ED56 
                 ED67 
               
               
                   
                   
               
               
                   
                 1.507 
                 0.364 
                 0.225 
                 0.316 
                 2.395 
                 2.138 
               
               
                   
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 ED12/ 
                 ED23/ 
                 ED34/ 
                   
                   
                   
               
               
                 IN12 
                 IN23 
                 IN34 
                 ED45/IN45 
                 ED56/IN56 
                 ED67/IN67 
               
               
                   
               
               
                 30.142 
                 0.577 
                 0.324 
                 0.970 
                 1.385 
                 0.944 
               
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 |f/f1| 
                 |f/f2| 
                 |f/f3| 
                 |f/f4| 
                 |f/f5| 
                 |f/f6| 
               
               
                   
               
               
                 0.2673 
                 0.0816 
                 0.3278 
                 0.2731 
                 0.6457 
                 0.6421 
               
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 |f/f7| 
                 ΣPPR 
                 ΣNPR 
                 ΣPPR/|ΣNPR| 
                 IN12/f 
                 IN67/f 
               
               
                   
               
               
                 0.9752 
                 1.8828 
                 1.3299 
                 1.4158 
                 0.0061 
                 0.2775 
               
               
                   
               
            
           
           
               
               
               
               
            
               
                 |f1/f2| 
                 |f2/f3| 
                 (TP1 + IN12)/TP2 
                 (TP7 + IN67)/TP6 
               
               
                   
               
               
                 0.3053 
                 4.0159 
                 3.6111 
                 3.3971 
               
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 HOS 
                 InTL 
                 HOS/HOI 
                 InS/HOS 
                 ODT % 
                 TDT % 
               
               
                   
               
               
                 21.5042 
                 20.1580 
                 2.8672 
                 0.5504 
                 −2.5351 
                 2.5339 
               
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 HVT11 
                 HVT12 
                 HVT21 
                 HVT22 
                 HVT31 
                 HVT32 
               
               
                   
               
               
                 0.0000 
                 0.0000 
                 0.0000 
                 0.0000 
                 0.0000 
                 2.7625 
               
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 HVT61 
                 HVT62 
                 HVT71 
                 HVT72 
                 HVT72/HOI 
                 HVT72/HOS 
               
               
                   
               
               
                 0.0000 
                 0.0000 
                 0.0000 
                 3.1667 
                 0.4222 
                 0.1473 
               
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 MTFE0 
                 MTFE3 
                 MTFE7 
                 MTFQ0 
                 MTFQ3 
                 MTFQ7 
               
               
                   
               
               
                 0.7 
                 0.33 
                 0.48 
                 0.393 
                 0.075 
                 0.158 
               
               
                   
               
            
           
           
               
               
               
            
               
                 MTFI0 
                 MTFI3 
                 MTFI7 
               
               
                   
               
               
                 0.01 
                 0.01 
                 0.01 
               
               
                   
               
            
           
         
       
     
     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) 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                 HIF111 
                 5.7971 
                 HIF111/HOI 
                 0.7729 
                 SGI111 
                 −1.1533 
                 |SGI111|/(|SGI111| + TP1) 
                 0.1607 
               
               
                 HIF121 
                 4.2725 
                 HIF121/HOI 
                 0.5697 
                 SGI121 
                 −0.8143 
                 |SGI121|/(|SGI121| + TP1) 
                 0.1191 
               
               
                 HIF311 
                 3.4672 
                 HIF311/HOI 
                 0.4623 
                 SGI311 
                 0.8644 
                 |SGI311|/(|SGI311| + TP3) 
                 0.4164 
               
               
                 HIF321 
                 1.6633 
                 HIF321/HOI 
                 0.2218 
                 SGI321 
                 0.0549 
                 |SGI321|/(|SGI321| + TP3) 
                 0.0433 
               
               
                 HIF411 
                 1.7967 
                 HIF411/HOI 
                 0.2396 
                 SGI411 
                 −0.2102 
                 |SGI411|/(|SGI411| + TP4) 
                 0.3009 
               
               
                 HIF421 
                 1.2296 
                 HIF421/HOI 
                 0.1639 
                 SGI421 
                 −0.0678 
                 |SGI421|/(|SGI421| + TP4) 
                 0.1218 
               
               
                 HIF511 
                 1.7386 
                 HIF511/HOI 
                 0.2318 
                 SGI511 
                 0.0615 
                 |SGI511|/(|SGI511| + TP5) 
                 0.0180 
               
               
                 HIF512 
                 3.5193 
                 HIF512/HOI 
                 0.4692 
                 SGI512 
                 0.0971 
                 |SGI512|/(|SGI512| + TP5) 
                 0.0282 
               
               
                 HIF611 
                 4.4931 
                 HIF611/HOI 
                 0.5991 
                 SGI611 
                 −0.5031 
                 |SGI611|/(|SGI611| + TP6) 
                 0.3578 
               
               
                 HIF621 
                 3.9380 
                 HIF621/HOI 
                 0.5251 
                 SGI621 
                 −0.8862 
                 |SGI621|/(|SGI621| + TP6) 
                 0.4954 
               
               
                 HIF721 
                 1.7203 
                 HIF721/HOI 
                 0.2294 
                 SGI721 
                 0.0807 
                 |SGI721|/(|SGI721| + TP7) 
                 0.0915 
               
               
                 HIF722 
                 6.3001 
                 HIF722/HOI 
                 0.8400 
                 SGI722 
                 −0.9321 
                 |SGI722|/(|SGI722| + TP7) 
                 0.5375 
               
               
                   
               
            
           
         
       
     
     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.