Patent Publication Number: US-9851537-B2

Title: Optical image capturing system

Description:
The current application claims a foreign priority to application number 104141305 filed on Dec. 9, 2015 in Taiwan. 
     BACKGROUND OF THE INVENTION 
     1. Technical Field 
     The present invention generally relates 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). Also, 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 sixth 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. Also, 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 IN 12  (instance). A central thickness of the first lens of the optical image capturing system on the optical axis is denoted by TP 1  (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 NA 1  (instance). A refractive index of the first lens is denoted by Nd 1  (instance). 
     The lens parameter related to a view angle of 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 EHD 11 , the maximum effective half diameter of the image-side surface of the first lens is denoted by EHD 12 , the maximum effective half diameter of the object-side surface of the second lens is denoted by EHD 21 , the maximum effective half diameter of the image-side surface of the second lens is denoted by EHD 22 , 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 InRS 71  (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 InRS 72  (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 C 51  on the object-side surface of the fifth lens and the optical axis is HVT 51  (instance), and a distance perpendicular to the optical axis between a critical point C 52  on the image-side surface of the fifth lens and the optical axis is HVT 52  (instance). A distance perpendicular to the optical axis between a critical point C 61  on the object-side surface of the sixth lens and the optical axis is HVT 61  (instance), and a distance perpendicular to the optical axis between a critical point C 62  on the image-side surface of the sixth lens and the optical axis is HVT 62  (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, the optical axis is denoted in the same manner. 
     The object-side surface of the seventh lens has one inflection point IF 711  which is nearest to the optical axis, and the sinkage value of the inflection point IF 711  is denoted by SGI 711  (instance). A distance perpendicular to the optical axis between the inflection point IF 711  and the optical axis is HIF 711  (instance). The image-side surface of the seventh lens has one inflection point IF 721  which is nearest to the optical axis, and the sinkage value of the inflection point IF 721  is denoted by SGI 721  (instance). A distance perpendicular to the optical axis between the inflection point IF 721  and the optical axis is HIF 721  (instance). 
     The object-side surface of the seventh lens has one inflection point IF 712  which is the second nearest to the optical axis, and the sinkage value of the inflection point IF 712  is denoted by SGI 712  (instance). A distance perpendicular to the optical axis between the inflection point IF 712  and the optical axis is HIF 712  (instance). The image-side surface of the seventh lens has one inflection point IF 722  which is the second nearest to the optical axis, and the sinkage value of the inflection point IF 722  is denoted by SGI 722  (instance). A distance perpendicular to the optical axis between the inflection point IF 722  and the optical axis is HIF 722  (instance). 
     The object-side surface of the seventh lens has one inflection point IF 713  which is the third nearest to the optical axis, and the sinkage value of the inflection point IF 713  is denoted by SGI 713  (instance). A distance perpendicular to the optical axis between the inflection point IF 713  and the optical axis is HIF 713  (instance). The image-side surface of the seventh lens has one inflection point IF 723  which is the third nearest to the optical axis, and the sinkage value of the inflection point IF 723  is denoted by SGI 723  (instance). A distance perpendicular to the optical axis between the inflection point IF 723  and the optical axis is HIF 723  (instance). 
     The object-side surface of the seventh lens has one inflection point IF 714  which is the fourth nearest to the optical axis, and the sinkage value of the inflection point IF 714  is denoted by SGI 714  (instance). A distance perpendicular to the optical axis between the inflection point IF 714  and the optical axis is HIF 714  (instance). The image-side surface of the seventh lens has one inflection point IF 724  which is the fourth nearest to the optical axis, and the sinkage value of the inflection point IF 724  is denoted by SGI 724  (instance). A distance perpendicular to the optical axis between the inflection point IF 724  and the optical axis is HIF 724  (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 MTFE 0 , MTFE 3 , and MTFE 7 ; 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 MTFQ 0 , MTFQ 3 , and MTFQ 7 ; 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 MTFH 0 , MTFH 3 , and MTFH 7 ; 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 MTF 0 , MTF 3 , and MTF 7 . 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 MTFI 0 , MTFI 3 , and MTFI 7 . 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, which is capable of focusing visible and infrared light (i.e., dual-mode) at the same time and achieving certain performance, wherein the seventh lens thereof is provided with an inflection point at the object-side surface or at the image-side surface to adjust the incident angle of each view field and modify the ODT and the TDT. In addition, the surfaces of the seventh lens are capable of modifying the optical path to improve the imagining quality. 
     The optical image capturing system of the present invention includes a first lens, a second lens, a third lens, a fourth lens, a fifth lens, a sixth lens, a seventh lens, and an image plane in order along an optical axis from an object side to an image side. The first lens has refractive power. The optical image capturing system satisfies:
 
1.0≦ f/HEP≦ 10.0; 0 deg&lt; HAF≦ 150 deg; and 0.5≦ 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 the object-side surface of the first lens and the image plane; InTL is a distance from the object-side surface of the first lens to the image-side surface of the seventh lens on the optical axis; HAF is a half of the maximum field angle of the optical image capturing system; ETP 1 , ETP 2 , ETP 3 , ETP 4 , ETP 5 , ETP 6 , and ETP 7  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 ETP 1  to ETP 7 ; TP 1 , TP 2 , TP 3 , TP 4 , TP 5 , TP 6 , and TP 7  are respectively a thickness at the optical axis of the first lens to the seventh lens, wherein STP is a sum of the aforementioned TP 1  to TP 7 . 
     The present invention further provides an optical image capturing system, including a first lens, a second lens, a third lens, a fourth lens, a fifth lens, a sixth lens, a seventh lens, and an image plane in order along an optical axis from an object side to an image side. The first lens has refractive power. The second lens has refractive power. The third lens has refractive power. The fourth lens has refractive power. The fifth lens has refractive power. The sixth lens has refractive power. The seventh lens has refractive power, 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. The optical image capturing system satisfies:
 
1.0≦ f/HEP≦ 10.0; 0 deg&lt; HAF≦ 150 deg; 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; InTL is a distance from the object-side surface of the first lens to the image-side surface of the seventh lens on the optical axis; HAF is a half of the maximum field angle of the optical image capturing system; 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 three lenses among the first to the seventh lenses has at least an inflection point on at least one surface thereof. The first lens has positive refractive power, and the second lens has refractive power. The third lens has refractive power. The fourth lens has refractive power. The fifth lens has refractive power. The sixth lens has refractive power. The seventh lens has refractive power. The optical image capturing system satisfies:
 
1.0≦ f/HEP≦ 3.5; 0 deg&lt; HAF≦ 100 deg; 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; InTL is a distance from the object-side surface of the first lens to the image-side surface of the seventh lens on the optical axis; HAF is a half of the maximum field angle of the optical image capturing system; 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 ETP 1 , the thickness at the height of a half of the entrance pupil diameter (HEP) of the second lens is denoted by ETP 2 , 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 ETP 1  to ETP 5 . 
     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 ETP 1 , the thickness of the first lens on the optical axis is TP 1 , and the ratio between these two parameters is ETP 1 /TP 1 ; the thickness at the height of a half of the entrance pupil diameter (HEP) of the first lens is denoted by ETP 2 , the thickness of the second lens on the optical axis is TP 2 , and the ratio between these two parameters is ETP 2 /TP 2 . 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 ED 12 , the horizontal distance between the first lens and the second lens on the optical axis is denoted by IN 12 , and the ratio between these two parameters is ED 12 /IN 12 ; 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 ED 23 , the horizontal distance between the second lens and the third lens on the optical axis is denoted by IN 23 , and the ratio between these two parameters is ED 23 /IN 23 . 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 while |f1|&gt;|f7|. 
     In an embodiment, when the lenses satisfy |f2|+|f3|+|f4|+|f5|+|f6| and |f1|+|f7|, 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 tune 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. 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. 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. 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. 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. 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. 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. 8A  is a schematic diagram of an eighth embodiment of the present invention; 
         FIG. 8B  shows curve diagrams of longitudinal spherical aberration, astigmatic field, and optical distortion of the optical image capturing system in the order from left to right of the eighth embodiment of the present application; and 
         FIG. 8C  shows a feature map of modulation transformation of the optical image capturing system of the eighth embodiment of the present application in visible 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. Image heights in the following embodiments are all almost 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≦|R 1 /R 2 |≦20, and a preferable range is 0.01≦|R 1 /R 2 |&lt;10, where R 1  is a radius of curvature of the object-side surface of the first lens, and R 2  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;(R 13 −R 14 )/(R 13 +R 14 )&lt;50, where R 13  is a radius of curvature of the object-side surface of the seventh lens, and R 14  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 IN 12 /f≦3.0, where IN 12  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 IN 67 /f≦0.8, where IN 67  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≦(TP 1 +IN 12 )/TP 2 ≦10, where TP 1  is a central thickness of the first lens on the optical axis, and TP 2  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≦(TP 7 +IN 67 )/TP 6 ≦10, where TP 6  is a central thickness of the sixth lens on the optical axis, TP 7  is a central thickness of the seventh lens on the optical axis, and IN 67  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≦TP 4 /(IN 34 +TP 4 +IN 45 )&lt;1, where TP 3  is a central thickness of the third lens on the optical axis, TP 4  is a central thickness of the fourth lens on the optical axis, TP 5  is a central thickness of the fifth lens on the optical axis, IN 34  is a distance on the optical axis between the third lens and the fourth lens, IN 45  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≦HVT 71 ≦3 mm; 0 mm&lt;HVT 72 ≦6 mm; 0≦HVT 71 /HVT 72 ; 0 mm≦|SGC 71 |≦0.5 mm; 0 mm&lt;|SGC 72 |≦2 mm; and 0&lt;|SGC 72 |/(|SGC 72 |+TP 7 )≦0.9, where HVT 71  a distance perpendicular to the optical axis between the critical point C 71  on the object-side surface of the seventh lens and the optical axis; HVT 72  a distance perpendicular to the optical axis between the critical point C 72  on the image-side surface of the seventh lens and the optical axis; SGC 71  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 C 71 ; SGC 72  is a distance in parallel with the optical axis between a point on the image-side surface of the seventh lens where the optical axis passes through and the critical point C 72 . It is helpful to correct the off-axis view field aberration. 
     The optical image capturing system satisfies 0.2≦HVT 72 /HOI≦0.9, and preferably satisfies 0.3≦HVT 72 /HOI≦0.8. It may help to correct the peripheral aberration. 
     The optical image capturing system satisfies 0≦HVT 72 /HOS≦0.5, and preferably satisfies 0.2≦HVT 72 /HOS≦0.45. It may help to correct the peripheral aberration. 
     The optical image capturing system of the present invention satisfies 0&lt;SGI 711 /(SGI 711 +TP 7 )≦0.9; 0&lt;SGI 721 /(SGI 721 +TP 7 )≦0.9, and it is preferable to satisfy 0.1≦SGI 711 /(SGI 711 +TP 7 )≦0.6; 0.1≦SGI 721 /(SGI 721 +TP 7 )≦0.6, where SGI 711  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 SGI 721  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;SGI 712 /(SGI 712 +TP 7 )≦0.9; 0&lt;SGI 722 /(SGI 722 +TP 7 )≦0.9, and it is preferable to satisfy 0.1≦SGI 712 /(SGI 712 +TP 7 )≦0.6; 0.1≦SGI 722 /(SGI 722 +TP 7 )≦0.6, where SGI 712  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 SGI 722  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≦|HIF 711 |≦5 mm; 0.001 mm≦|HIF 721 |≦5 mm, and it is preferable to satisfy 0.1 mm≦|HIF 711 |≦3.5 mm; 1.5 mm≦|HIF 721 |≦3.5 mm, where HIF 711  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; HIF 721  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≦|HIF 712 |≦5 mm; 0.001 mm≦|HIF 722 |≦5 mm, and it is preferable to satisfy 0.1 mm≦|HIF 722 |≦3.5 mm; 0.1 mm≦|HIF 712 |≦3.5 mm, where HIF 712  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; HIF 722  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≦|HIF 713 |≦5 mm; 0.001 mm≦|HIF 723 |≦5 mm, and it is preferable to satisfy 0.1 mm≦|HIF 723 |≦3.5 mm; 0.1 mm≦|HIF 713 |≦3.5 mm, where HIF 713  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; HIF 723  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≦|HIF 714 |≦5 mm; 0.001 mm≦|HIF 724 |≦5 mm, and it is preferable to satisfy 0.1 mm≦|HIF 724 |≦3.5 mm; 0.1 mm≦|HIF 714 |≦3.5 mm, where HIF 714  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; HIF 724  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. 
     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  and the image-side surface  114  both have two inflection points. A thickness of the first lens  110  on the optical axis is TP 1 , and a thickness of the first lens  110  at the height of a half of the entrance pupil diameter (HEP) is denoted by ETP 1 . 
     The first lens satisfies SGI 111 =−0.1110 mm; SGI 121 =2.7120 mm; TP 1 =2.2761 mm; |SGI 111 |/(|SGI 111 |+TP 1 )=0.0465; |SGI 121 |/(|SGI 121 |+TP 1 )=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 SGI 111 , 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 SGI 111 . 
     The first lens satisfies SGI 112 =0 mm; SGI 122 =4.2315 mm; |SGI 112 |/(|SGI 112 |+TP 1 )=0; |SGI 122 |/(|SGI 122 |+TP 1 )=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 SGI 112 , 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 SGI 122 . 
     The first lens satisfies HIF 111 =12.8432 mm; HIF 111 /HOI=1.7127; HIF 121 =7.1744 mm; HIF 121 /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 HIF 111 , 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 HIF 121 . 
     The first lens satisfies HIF 112 =0 mm; HIF 112 /HOI=0; HIF 122 =9.8592 mm; HIF 122 /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 HIF 112 , 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 HIF 122 . 
     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 thickness of the second lens  120  on the optical axis is TP 2 , and thickness of the second lens  120  at the height of a half of the entrance pupil diameter (HEP) is denoted by ETP 2 . 
     For the second lens, 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 SGI 211 , 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 SGI 221 . 
     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 HIF 211 , 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 HIF 221 . 
     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 thickness of the third lens  130  on the optical axis is TP 3 , and a thickness of the third lens  130  at the height of a half of the entrance pupil diameter (HEP) is denoted by ETP 3 . 
     For the third lens  130 , SGI 311  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 SGI 321  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 , SGI 312  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 SGI 322  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 , HIF 311  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; HIF 321  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 , HIF 312  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; HIF 322  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 thickness of the fourth lens  140  on the optical axis is TP 4 , and a thickness of the fourth lens  140  at the height of a half of the entrance pupil diameter (HEP) is denoted by ETP 4 . 
     The fourth lens  140  satisfies SGI 411 =0.0018 mm; |SGI 411 |/(|SGI 411 |+TP 4 )=0.0009, where SGI 411  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 SGI 421  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 , SGI 412  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 SGI 422  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 HIF 411 =0.7191 mm; HIF 411 /HOI=0.0959, where HIF 411  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; HIF 421  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 , HIF 412  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; HIF 422  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 thickness of the fifth lens  150  on the optical axis is TP 5 , and a thickness of the fifth lens  150  at the height of a half of the entrance pupil diameter (HEP) is denoted by ETP 5 . 
     The fifth lens  150  satisfies SGI 511 =−0.1246 mm; SGI 521 =−2.1477 mm; |SGI 511 |/(|SGI 511 |+TP 5 )=0.0284; |SGI 521 |/(|SGI 521 |+TP 5 )=0.3346, where SGI 511  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 SGI 521  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 , SGI 512  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 SGI 522  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 HIF 511 =3.8179 mm; HIF 521 =4.5480 mm; HIF 511 /HOI=0.5091; HIF 521 /HOI=0.6065, where HIF 511  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; HIF 521  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 , HIF 512  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; HIF 522  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 aspheric surface, and an image-side surface  164 , which faces the image side, is a concave aspheric surface. The object-side surface  162  and the image-side surface  164  both have an inflection point. Whereby, the incident angle of each view field entering the sixth lens  160  can be effectively adjusted to improve aberration. A thickness of the sixth lens  160  on the optical axis is TP 6 , and a thickness of the sixth lens  160  at the height of a half of the entrance pupil diameter (HEP) is denoted by ETP 6 . 
     The sixth lens  160  satisfies SGI 611 =0.3208 mm; SGI 621 =0.5937 mm; |SGI 611 |/(|SGI 611 |+TP 6 )=0.5167; |SGI 621 |/(|SGI 621 |+TP 6 )=0.6643, where SGI 611  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 SGI 621  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 HIF 611 =1.9655 mm; HIF 621 =2.0041 mm; HIF 611 /HOI=0.2621; HIF 621 /HOI=0.2672, where HIF 611  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; HIF 621  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 aspheric surface, and an image-side surface  174 , which faces the image side, is a concave aspheric surface. The object-side surface  172  and the image-side surface  174  both have an inflection point. A thickness of the seventh lens  170  on the optical axis is TP 7 , and a thickness of the seventh lens  170  at the height of a half of the entrance pupil diameter (HEP) is denoted by ETP 7 . 
     The seventh lens  170  satisfies SGI 711 =0.5212 mm; SGI 721 =0.5668 mm; |SGI 711 |/(|SGI 711 |+TP 7 )=0.3179; |SGI 721 |/(|SGI 721 |+TP 7 )=0.3364, where SGI 711  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 SGI 721  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 HIF 711 =1.6707 mm; HIF 721 =1.8616 mm; HIF 711 /HOI=0.2228; HIF 721 /HOI=0.2482, where HIF 711  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; HIF 721  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: ETP 1 =2.470 mm; ETP 2 =5.144 mm; ETP 3 =0.898 mm; ETP 4 =1.706 mm; ETP 5 =3.901 mm; ETP 6 =0.528 mm; ETP 7 =1.077 mm. The sum of the aforementioned ETP 1  to ETP 7  is SETP, wherein SETP=15.723 mm. In addition, TP 1 =2.276 mm; TP 2 =5.240 mm; TP 3 =0.837 mm; TP 4 =2.002 mm; TP 5 =4.271 mm; TP 6 =0.300 mm; TP 7 =1.118 mm. The sum of the aforementioned TP 1  to TP 7  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: ETP 1 /TP 1 =1.085; ETP 2 /TP 2 =0.982; ETP 3 /TP 3 =1.073; ETP 4 /TP 4 =0.852; ETP 5 /TP 5 =0.914; ETP 6 /TP 6 =1.759; ETP 7 /TP 7 =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 ED 12 , wherein ED 12 =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 ED 23 , wherein ED 23 =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 ED 34 , wherein ED 34 =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 ED 45 , wherein ED 45 =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 ED 56 , wherein ED 56 =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 ED 67 , wherein ED 67 =0.284 mm. The sum of the aforementioned ED 12  to ED 67  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 IN 12 , wherein IN 12 =4.552 mm, and ED 12 /IN 12 =0.983. The horizontal distance between the second lens  120  and the third lens  130  on the optical axis is denoted by IN 23 , wherein IN 23 =0.162 mm, and ED 23 /IN 23 =2.153. The horizontal distance between the third lens  130  and the fourth lens  140  on the optical axis is denoted by IN 34 , wherein IN 34 =1.927 mm, and ED 34 /IN 34 =0.862. The horizontal distance between the fourth lens  140  and the fifth lens  150  on the optical axis is denoted by IN 45 , wherein IN 45 =1.515 mm, and ED 45 /IN 45 =1.184. The horizontal distance between the fifth lens  150  and the sixth lens  160  on the optical axis is denoted by IN 56 , wherein IN 56 =0.050 mm, and ED 56 /IN 56 =14.285. The horizontal distance between the sixth lens  160  and the seventh lens  170  on the optical axis is denoted by IN 67 , wherein IN 67 =0.211 mm, and ED 67 /IN 67 =1.345. The sum of the aforementioned IN 12  to IN 67  is denoted by SIN, wherein SIN=8.418, and SED/SIN=1.102. 
     The optical image capturing system of the first embodiment satisfies: ED 12 /ED 23 =12.816; ED 23 /ED 34 =0.210; ED 34 /ED 45 =0.925; ED 45 /ED 56 =2.512; ED 56 /ED 67 =2.512; IN 12 /IN 23 =28.080; IN 23 /IN 34 =0.084; IN 34 /IN 45 =1.272; IN 45 /IN 56 =30.305; IN 56 /IN 67 =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 description below and the features related to inflection points are obtained based on main reference wavelength of 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 degrees; 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 - 150  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 |R 1 /R 2 |=129.9952, where R 1  is a radius of curvature of the object-side surface  112  of the first lens  110 , and R 2  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 (R 13 −R 14 )/(R 13 +R 14 )=−0.0806, where R 13  is a radius of curvature of the object-side surface  172  of the seventh lens  170 , and R 14  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 the other negative lens, which avoids the significant aberration caused by the incident rays. 
     The optical image capturing system  10  of the first embodiment further satisfies IN 12 =4.5524 mm; IN 12 /f=1.0582, where IN 12  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 TP 1 =2.2761 mm; TP 2 =0.2398 mm; and (TP 1 +IN 12 )/TP 2 =1.3032, where TP 1  is a central thickness of the first lens  110  on the optical axis, and TP 2  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 TP 6 =0.3000 mm; TP 7 =1.1182 mm; and (TP 7 +IN 67 )/TP 6 =4.4322, where TP 6  is a central thickness of the sixth lens  160  on the optical axis, TP 7  is a central thickness of the seventh lens  170  on the optical axis, and IN 67  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 TP 3 =0.8369 mm; TP 4 =2.0022 mm; TP 5 =4.2706 mm; IN 34 =1.9268 mm; IN 45 =1.5153 mm; and TP 4 /(IN 34 +TP 4 +IN 45 )=0.3678, where TP 3  is a central thickness of the third lens  130  on the optical axis, TP 4  is a central thickness of the fourth lens  140  on the optical axis, TP 5  is a central thickness of the fifth lens  150  on the optical axis; IN 34  is a distance on the optical axis between the third lens  130  and the fourth lens  140 ; IN 45  is a distance on the optical axis between the fourth lens  140  and the fifth lens  150 ; 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 . 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 InRS 61 =−0.7823 mm; InRS 62 =−0.2166 mm; and |InRS 62 |/TP 6 =0.722, where InRS 61  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  160 ; InRS 62  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 TP 6  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 HVT 61 =3.3498 mm; HVT 62 =3.9860 mm; and HVT 61 /HVT 62 =0.8404, where HVT 61  is 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 HVT 62  is 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 InRS 71 =−0.2756 mm; InRS 72 =−0.0938 mm; and |InRS 72 |/TP 7 =0.0839, where InRS 71  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 ; InRS 72  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 TP 7  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 HVT 71 =3.6822 mm; HVT 72 =4.0606 mm; and HVT 71 /HVT 72 =0.9068, where HVT 71  is 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 HVT 72  is 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 HVT 72 /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 HVT 72 /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≦NA 7 /NA 2 , where NA 2  is an Abbe number of the second lens  120 ; NA 3  is an Abbe number of the third lens  130 ; and NA 7  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 MTFE 0 , MTFE 3 , and MTFE 7 , wherein MTFE 0  is around 0.35, MTFE 3  is around 0.14, and MTEF 7  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 MTFQ 0 , MTFQ 3 , and MTFQ 7 , wherein MTFQ 0  is around 0.126, MTFQ 3  is around 0.075, and MTFQ 7  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 MTFH 0 , MTFH 3 , and MTFH 7 , wherein MTFH 0  is around 0.01, MTFH 3  is around 0.01, and MTFH 7  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 MTFI 0 , MTFI 3 , and MTFI 7 , wherein MTFI 0  is around 0.01, MTFI 3  is around 0.01, and MTFI 7  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 mm. 
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 2 
               
               
                   
               
               
                 Coefficients of the aspheric surfaces 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                 Surface 
                 1 
                 2 
                 3 
                 4 
                 5 
                 6 
                 8 
               
               
                   
               
               
                 k 
                   2.500000E+ 
                 −4.711931E− 
                   1.531617E+ 
                 −1.153034E+ 
                 −2.915013E+ 
                   4.886991E+ 
                 −3.459463E+ 
               
               
                   
                 01 
                 01 
                 00 
                 01 
                 00 
                 00 
                 01 
               
               
                 A4 
                   5.236918E− 
                 −2.117558E− 
                   7.146736E− 
                   4.353586E− 
                   5.793768E− 
                 −3.756697E− 
                 −1.292614E− 
               
               
                   
                 06 
                 04 
                 05 
                 04 
                 04 
                 04 
                 03 
               
               
                 A6 
                 −3.014384E− 
                 −1.838670E− 
                   2.334364E− 
                   1.400287E− 
                   2.112652E− 
                   3.901218E− 
                 −1.602381E− 
               
               
                   
                 08 
                 06 
                 06 
                 05 
                 04 
                 04 
                 05 
               
               
                 A8 
                 −2.487400E− 
                   9.605910E− 
                 −7.479362E− 
                 −1.688929E− 
                 −1.344586E− 
                 −4.925422E− 
                 −8.452359E− 
               
               
                   
                 10 
                 09 
                 08 
                 07 
                 05 
                 05 
                 06 
               
               
                 A10 
                   1.170000E− 
                 −8.256000E− 
                   1.701570E− 
                   3.829807E− 
                   1.000482E− 
                   4.139741E− 
                   7.243999E− 
               
               
                   
                 12 
                 11 
                 09 
                 08 
                 06 
                 06 
                 07 
               
               
                 A12 
                   0.000000E+ 
                   0.000000E+ 
                   0.000000E+ 
                   0.000000E+ 
                   0.000000E+ 
                   0.000000E+ 
                   0.000000E+ 
               
               
                   
                 00 
                 00 
                 00 
                 00 
                 00 
                 00 
                 00 
               
               
                 A14 
                   0.000000E+ 
                   0.000000E+ 
                   0.000000E+ 
                   0.000000E+ 
                   0.000000E+ 
                   0.000000E+ 
                   0.000000E+ 
               
               
                   
                 00 
                 00 
                 00 
                 00 
                 00 
                 00 
                 00 
               
               
                   
               
               
                 Surface 
                 9 
                 10 
                 11 
                 12 
                 13 
                 14 
                 15 
               
               
                   
               
               
                 k 
                 −7.549291E+ 
                 −5.000000E+ 
                 −1.740728E+ 
                 −4.709650E+ 
                 −4.509781E+ 
                 −3.427137E+ 
                 −3.215123E+ 
               
               
                   
                 00 
                 01 
                 00 
                 00 
                 00 
                 00 
                 00 
               
               
                 A4 
                 −5.583548E− 
                   1.240671E− 
                   6.467538E− 
                 −1.872317E− 
                 −8.967310E− 
                 −3.189453E− 
                 −2.815022E− 
               
               
                   
                 03 
                 04 
                 04 
                 03 
                 04 
                 03 
                 03 
               
               
                 A6 
                   1.947110E− 
                 −4.949077E− 
                 −4.981838E− 
                 −1.523141E− 
                 −2.688331E− 
                 −1.058126E− 
                   1.884580E− 
               
               
                   
                 04 
                 05 
                 05 
                 05 
                 05 
                 05 
                 05 
               
               
                 A8 
                 −1.486947E− 
                   2.088854E− 
                   9.129031E− 
                 −2.169414E− 
                 −8.324958E− 
                   1.760103E− 
                 −1.017223E− 
               
               
                   
                 05 
                 06 
                 07 
                 06 
                 07 
                 06 
                 08 
               
               
                 A10 
                 −6.501246E− 
                 −1.438383E− 
                 7.108550E− 
                 −2.308304E− 
                 −6.184250E− 
                 −4.730294E− 
                   3.660000E− 
               
               
                   
                 08 
                 08 
                 09 
                 08 
                 09 
                 08 
                 12 
               
               
                 A12 
                   0.000000E+ 
                   0.000000E+ 
                   0.000000E+ 
                   0.000000E+ 
                   0.000000E+ 
                   0.000000E+ 
                   0.000000E+ 
               
               
                   
                 00 
                 00 
                 00 
                 00 
                 00 
                 00 
                 00 
               
               
                 A14 
                   0.000000E+ 
                   0.000000E+ 
                   0.000000E+ 
                   0.000000E+ 
                   0.000000E+ 
                   0.000000E+ 
                   0.000000E+ 
               
               
                   
                 00 
                 00 
                 00 
                 00 
                 00 
                 00 
                 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 , an aperture  200 , a second lens  220 , a third lens  230 , a fourth lens  240 , a fifth lens  250 , a sixth lens  260 , a seventh 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. 
     The first lens  210  has positive refractive power and is made of plastic. An object-side surface  212  thereof, which faces the object side, is a convex aspheric surface, and an image-side surface  214  thereof, which faces the image side, is a concave aspheric surface. 
     The second lens  220  has negative refractive power and is made of plastic. An object-side surface  222  thereof, which faces the object side, is a convex aspheric surface, and an image-side surface  224  thereof, which faces the image side, is a concave aspheric surface. The object-side surface  222  has an inflection point, and the image-side  224  surface has two inflection points. 
     The third lens  230  has positive refractive power and is made of plastic. An object-side surface  232 , which faces the object side, is a concave aspheric surface, and an image-side surface  234 , which faces the image side, is a convex aspheric surface. The object-side surface  232  the image-side surface  234  both have an inflection point. 
     The fourth lens  240  has positive refractive power and is made of plastic. An object-side surface  242 , which faces the object side, is a convex aspheric surface, and an image-side surface  244 , which faces the image side, is a concave aspheric surface. The object-side surface  242  and the image-side surface  244  both have an inflection point. 
     The fifth lens  250  has negative refractive power and is made of plastic. An object-side surface  252 , which faces the object side, is a concave aspheric surface, and an image-side surface  254 , which faces the image side, is a convex aspheric surface. The image-side surface  254  has an inflection point. 
     The sixth lens  260  has positive refractive power and is made of plastic. An object-side surface  262 , which faces the object side, is a convex aspheric surface, and an image-side surface  254 , which faces the image side, is a convex aspheric surface. The object-side surface  262  has an inflection point, and the image-side surface  264  has two inflection points. Whereby, the incident angle of each view field entering the sixth lens  260  can be effectively adjusted to improve aberration. 
     The seventh lens  270  has negative refractive power and is made of plastic. An object-side surface  272 , which faces the object side, is a concave surface, and an image-side surface  274 , which faces the image side, is a concave surface. It may help to shorten the back focal length to keep small in size. In addition, the object-side surface  272  has two inflection points, and the image-side surface  274  has an inflection point, which may reduce an incident angle of the light of an off-axis field of view and correct the aberration of the off-axis field of view. 
     The infrared rays filter  280  is made of glass and between the seventh lens  270  and the image plane  290 . The infrared rays filter  280  gives no contribution to the focal length of the system. 
     In the second embodiment, the optical image capturing system of the second embodiment further satisfies ΣPP=112.6399 mm; and f1/ΣPP=0.0907, where ΣPP is a sum of the focal lengths of each positive lens. It is helpful to share the positive refractive power of one single lens to the other positive lens to avoid the significant aberration caused by the incident rays. 
     The optical image capturing system of the second embodiment further satisfies ΣNP=−58.9049 mm; and f7/ΣNP=0.1182, where ΣNP is a sum of the focal lengths of each negative lens. It is helpful to share the negative refractive power of the sixth lens  260  to other negative lenses. 
     The parameters of the lenses of the second embodiment are listed in Table 3 and Table 4. 
     
       
         
           
               
             
               
                 TABLE 3 
               
             
            
               
                   
               
               
                 f = 7.3981 mm; f/HEP = 1.4; HAF = 37.5 deg 
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                   
                   
                   
                   
                   
                   
                   
                 Focal 
               
            
           
           
               
               
               
               
               
               
               
            
               
                   
                 Radius of curvature 
                 Thickness 
                   
                 Refractive 
                 Abbe 
                 length 
               
               
                 Surface 
                 (mm) 
                 (mm) 
                 Material 
                 index 
                 number 
                 (mm) 
               
               
                   
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                 0 
                 Object 
                 plane 
                 infinity 
                   
                   
                   
                   
               
               
                 1 
                 1 st  lens 
                 4.540107024 
                 1.702 
                 plastic 
                 1.565 
                 58.00 
                 10.221 
               
               
                 2 
                   
                 18.14724612 
                 0.208 
                   
                   
                   
                   
               
               
                 3 
                 Aperture 
                 plane 
                 0.165 
                   
                   
                   
                   
               
               
                 4 
                 2 nd  lens 
                 3.639282865 
                 0.300 
                 plastic 
                 1.650 
                 21.40 
                 −28.437 
               
               
                 5 
                   
                 2.945398119 
                 0.519 
                   
                   
                   
                   
               
               
                 6 
                 3 rd  lens 
                 −32.97337991 
                 1.172 
                 plastic 
                 1.565 
                 58.00 
                 14.202 
               
               
                 7 
                   
                 −6.553207522 
                 0.244 
                   
                   
                   
                   
               
               
                 8 
                 4 th  lens 
                 11.83806932 
                 0.478 
                 plastic 
                 1.607 
                 26.60 
                 81.729 
               
               
                 9 
                   
                 15.27791187 
                 1.363 
                   
                   
                   
                   
               
               
                 10 
                 5 th  lens 
                 −1.539619547 
                 0.662 
                 plastic 
                 1.650 
                 21.40 
                 −23.505 
               
               
                 11 
                   
                 −2.001908277 
                 0.050 
                   
                   
                   
                   
               
               
                 12 
                 6 th  lens 
                 4.851764306 
                 1.300 
                 plastic 
                 1.607 
                 26.60 
                 6.488 
               
               
                 13 
                   
                 −19.48629895 
                 0.768 
                   
                   
                   
                   
               
               
                 14 
                 7 th  lens 
                 −7.112479218 
                 0.581 
                 plastic 
                 1.650 
                 21.40 
                 −6.963 
               
               
                 15 
                   
                 13.14911542 
                 1.000 
                   
                   
                   
                   
               
               
                 16 
                 Infrared 
                 plane 
                 0.300 
                 BK_7 
                 1.517 
                 64.2 
                   
               
               
                   
                 rays 
                   
                   
                   
                   
                   
                   
               
               
                   
                 filter 
                   
                   
                   
                   
                   
                   
               
               
                 17 
                   
                 plane 
                 0.044 
                   
                   
                   
                   
               
               
                 18 
                 Image 
                 plane 
                 0.095 
                   
                   
                   
                   
               
               
                   
                 plane 
                   
                   
                   
                   
                   
                   
               
               
                   
               
               
                 Reference wavelength (d-line): 555 nm 
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 4 
               
               
                   
               
               
                 Coefficients of the aspheric surfaces 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                 Surface 
                 1 
                 2 
                 4 
                 5 
                 6 
                 7 
                 8 
               
               
                   
               
               
                 k 
                 −4.875568E+ 
                 −5.000000E+ 
                 −1.676073E+ 
                 −4.680304E+ 
                   5.000000E+ 
                   3.721744E+ 
                 −5.000000E+ 
               
               
                   
                 00 
                 01 
                 01 
                 00 
                 01 
                 00 
                 01 
               
               
                 A4 
                   7.344150E− 
                 −3.973450E− 
                   2.662221E− 
                 −1.308314E− 
                   4.964298E− 
                 −8.260152E− 
                 −1.095602E− 
               
               
                   
                 03 
                 03 
                 03 
                 02 
                 05 
                 03 
                 02 
               
               
                 A6 
                 −7.459683E− 
                   1.760892E− 
                 −1.131725E− 
                   1.646226E− 
                   5.872398E− 
                   7.786565E− 
                 −3.039081E− 
               
               
                   
                 04 
                 03 
                 02 
                 03 
                 04 
                 05 
                 03 
               
               
                 A8 
                   2.242006E− 
                 −1.686811E− 
                   5.584613E− 
                 −8.461823E− 
                 −2.155411E− 
                   6.502447E− 
                   1.162066E− 
               
               
                   
                 04 
                 04 
                 03 
                 06 
                 04 
                 04 
                 03 
               
               
                 A10 
                 −4.894969E− 
                 −6.697240E− 
                 −1.702728E− 
                 −8.784909E− 
                   5.116732E− 
                 −2.619295E− 
                 −3.599534E− 
               
               
                   
                 05 
                 05 
                 03 
                 05 
                 05 
                 04 
                 04 
               
               
                 A12 
                   6.784149E− 
                   2.498565E− 
                   3.110902E− 
                   1.922030E− 
                 −1.669358E− 
                   4.823445E− 
                   5.939494E− 
               
               
                   
                 06 
                 05 
                 04 
                 05 
                 05 
                 05 
                 05 
               
               
                 A14 
                 −4.968050E− 
                 −3.231451E− 
                 −3.133806E− 
                 −2.039078E− 
                   2.690957E− 
                 −4.389645E− 
                 −4.564835E− 
               
               
                   
                 07 
                 06 
                 05 
                 06 
                 06 
                 06 
                 06 
               
               
                 A16 
                   1.531497E− 
                   1.511465E− 
                   1.312517E− 
                   9.781704E− 
                 −1.356427E− 
                   1.687907E− 
                   1.081353E− 
               
               
                   
                 08 
                 07 
                 06 
                 08 
                 07 
                 07 
                 07 
               
               
                   
               
               
                 Surface 
                 9 
                 10 
                 11 
                 12 
                 13 
                 14 
                 15 
               
               
                   
               
               
                 k 
                 −2.147168E+ 
                 −1.417610E+ 
                 −8.098865E− 
                 −1.349690E+ 
                   1.523105E+ 
                 −1.420397E− 
                 −4.247552E+ 
               
               
                   
                 00 
                 00 
                 01 
                 00 
                 01 
                 01 
                 00 
               
               
                 A4 
                 −2.757887E− 
                   4.473058E− 
                   3.215721E− 
                 −1.633779E− 
                 −7.157361E− 
                 −4.765358E− 
                 −4.148944E− 
               
               
                   
                 03 
                 02 
                 02 
                 02 
                 03 
                 03 
                 03 
               
               
                 A6 
                 −3.779966E− 
                 −1.811946E− 
                 −9.953447E− 
                   2.870284E− 
                   2.430960E− 
                   1.500432E− 
                   4.018766E− 
               
               
                   
                 03 
                 02 
                 03 
                 03 
                 03 
                 03 
                 04 
               
               
                 A8 
                   1.179723E− 
                   4.871273E− 
                   2.395917E− 
                 −4.751890E− 
                 −3.351483E− 
                 −1.853896E− 
                 −3.441282E− 
               
               
                   
                 03 
                 03 
                 03 
                 04 
                 04 
                 04 
                 05 
               
               
                 A10 
                 −2.725621E− 
                 −8.658927E− 
                 −3.804019E− 
                   4.734240E− 
                   2.166505E− 
                   1.332742E− 
                   1.756637E− 
               
               
                   
                 04 
                 04 
                 04 
                 05 
                 05 
                 05 
                 06 
               
               
                 A12 
                   3.800871E− 
                   9.274320E− 
                   3.621653E− 
                 −3.299378E− 
                 −7.320811E− 
                 −5.535770E− 
                 −5.226930E− 
               
               
                   
                 05 
                 05 
                 05 
                 06 
                 07 
                 07 
                 08 
               
               
                 A14 
                 −2.865640E− 
                 −5.422388E− 
                 −1.817585E− 
                   1.287761E− 
                   1.263598E− 
                   1.204853E− 
                   8.341542E− 
               
               
                   
                 06 
                 06 
                 06 
                 07 
                 08 
                 08 
                 10 
               
               
                 A16 
                   8.462583E− 
                   1.338454E− 
                   3.786058E− 
                 −2.240515E− 
                 −8.270280E− 
                 −1.054114E− 
                 −5.747740E− 
               
               
                   
                 08 
                 07 
                 08 
                 09 
                 11 
                 10 
                 12 
               
               
                   
               
            
           
         
       
     
     An equation of the aspheric surfaces of the second embodiment is the same as that of the first embodiment, and the definitions are the same as well. 
     The exact parameters of the second embodiment based on Table 3 and Table 4 are listed in the following table: 
     
       
         
           
               
             
               
                   
               
               
                 Second embodiment (Reference wavelength: 555 nm) 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
               
            
               
                   
                 ETP1 
                 ETP2 
                 ETP3 
                 ETP4 
                 ETP5 
                 ETP6 
               
               
                   
                   
               
               
                   
                 1.156 
                 0.613 
                 0.599 
                 0.715 
                 0.732 
                 0.852 
               
               
                   
                   
               
            
           
           
               
               
               
               
               
               
               
            
               
                   
                 ETP7 
                 ETL 
                 EBL 
                 EIN 
                 EIR 
                 PIR 
               
               
                   
                   
               
               
                   
                 1.111 
                 10.269 
                 1.317 
                 8.952 
                 0.878 
                 1.000 
               
               
                   
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 EIN/ETL 
                 SETP/EIN 
                 EIR/PIR 
                 SETP 
                 STP 
                 SETP/STP 
               
               
                   
               
               
                 0.872 
                 0.645 
                 0.878 
                 5.777 
                 6.196 
                 0.932 
               
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 ETP1/TP1 
                 ETP2/TP2 
                 ETP3/TP3 
                 ETP4/TP4 
                 ETP5/TP5 
                 ETP6/TP6 
               
               
                   
               
               
                 0.679 
                 2.045 
                 0.511 
                 1.495 
                 1.105 
                 0.655 
               
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 ETP7/TP7 
                 BL 
                 EBL/BL 
                 SED 
                 SIN 
                 SED/SIN 
               
               
                   
               
               
                 1.911 
                 1.439 
                 0.9152 
                 3.175 
                 3.318 
                 0.957 
               
               
                   
               
            
           
           
               
               
               
               
               
               
               
            
               
                   
                 ED12 
                 ED23 
                 ED34 
                 ED45 
                 ED56 
                 ED67 
               
               
                   
                   
               
               
                   
                 0.315 
                 0.030 
                 0.537 
                 0.306 
                 1.447 
                 0.539 
               
               
                   
                   
               
            
           
           
               
               
               
               
               
               
            
               
                   
                   
                   
                 ED45/ 
                 ED56/ 
                 ED67/ 
               
               
                 ED12/IN12 
                 ED23/IN23 
                 ED34/IN34 
                 IN45 
                 IN56 
                 IN67 
               
               
                   
               
               
                 0.845 
                 0.058 
                 2.197 
                 0.225 
                 28.949 
                 0.702 
               
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 |f/f1| 
                 |f/f2| 
                 |f/f3| 
                 |f/f4| 
                 |f/f5| 
                 |f/f6| 
               
               
                   
               
               
                 0.7238 
                 0.2602 
                 0.5209 
                 0.0905 
                 0.3147 
                 1.1403 
               
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 |f/f7| 
                 ΣPPR 
                 ΣNPR 
                 ΣPPR/|ΣNPR| 
                 IN12/f 
                 IN67/f 
               
               
                   
               
               
                 0.9446 
                 2.1860 
                 1.1194 
                 1.9528 
                 0.0184 
                 0.0589 
               
               
                   
               
            
           
           
               
               
               
               
            
               
                 |f1/f2| 
                 |f2/f3| 
                 (TP1 + IN12)/TP2 
                 (TP7 + IN67)/TP6 
               
               
                   
               
               
                 0.1445 
                 1.9707 
                 3.8697 
                 0.9631 
               
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 HOS 
                 InTL 
                 HOS/HOI 
                 InS/HOS 
                 ODT % 
                 TDT % 
               
               
                   
               
               
                 10.9531 
                 9.5145 
                 1.4604 
                 0.8256 
                 28.8819 
                 30.9635 
               
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 HVT11 
                 HVT12 
                 HVT21 
                 HVT22 
                 HVT31 
                 HVT32 
               
               
                   
               
               
                 0.0000 
                 0.0000 
                 1.7733 
                 2.3058 
                 2.5321 
                 0.0000 
               
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 HVT61 
                 HVT62 
                 HVT71 
                 HVT72 
                 HVT72/HOI 
                 HVT72/HOS 
               
               
                   
               
               
                 2.3739 
                 0.0000 
                 0.0000 
                 2.9885 
                 0.3985 
                 0.2728 
               
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 MTFE0 
                 MTFE3 
                 MTFE7 
                 MTFQ0 
                 MTFQ3 
                 MTFQ7 
               
               
                   
               
               
                 0.86 
                 0.7 
                 0.7 
                 0.64 
                 0.18 
                 0.18 
               
               
                   
               
            
           
         
       
     
     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 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                 HIF211 
                 0.9366 
                 HIF211/HOI 
                 0.1249 
                 SGI211 
                 0.0962 
                 |SGI211|/(|SGI211| + TP2) 
                 0.2427 
               
               
                 HIF221 
                 1.2605 
                 HIF221/HOI 
                 0.1681 
                 SGI221 
                 0.2081 
                 |SGI221|/(|SGI221| + TP2) 
                 0.4095 
               
               
                 HIF222 
                 2.5812 
                 HIF222/HOI 
                 0.3442 
                 SGI222 
                 0.3740 
                 |SGI222|/(|SGI222| + TP2) 
                 0.5549 
               
               
                 HIF311 
                 2.2429 
                 HIF311/HOI 
                 0.2990 
                 SGI311 
                 −0.0854 
                 |SGI311|/(|SGI311| + TP3) 
                 0.0679 
               
               
                 HIF321 
                 2.5873 
                 HIF321/HOI 
                 0.3450 
                 SGI321 
                 −0.8600 
                 |SGI321|/(|SGI321| + TP3) 
                 0.4232 
               
               
                 HIF411 
                 0.6530 
                 HIF411/HOI 
                 0.0871 
                 SGI411 
                 0.0152 
                 |SGI411|/(|SGI411| + TP4) 
                 0.0308 
               
               
                 HIF421 
                 0.8553 
                 HIF421/HOI 
                 0.1140 
                 SGI421 
                 0.0213 
                 |SGI421|/(|SGI421| + TP4) 
                 0.0426 
               
               
                 HIF521 
                 2.6973 
                 HIF521/HOI 
                 0.3596 
                 SGI521 
                 −1.4739 
                 |SGI521|/(|SGI521| + TP5) 
                 0.6900 
               
               
                 HIF611 
                 1.3749 
                 HIF611/HOI 
                 0.1833 
                 SGI611 
                 0.1494 
                 |SGI611|/(|SGI611| + TP6) 
                 0.1031 
               
               
                 HIF621 
                 4.0917 
                 HIF621/HOI 
                 0.5456 
                 SGI621 
                 −0.9661 
                 |SGI621|/(|SGI621| + TP6) 
                 0.4263 
               
               
                 HIF622 
                 4.6912 
                 HIF622/HOI 
                 0.6255 
                 SGI622 
                 −1.3669 
                 |SGI622|/(|SGI622| + TP6) 
                 0.5125 
               
               
                 HIF711 
                 4.9710 
                 HIF711/HOI 
                 0.6628 
                 SGI711 
                 −1.4770 
                 |SGI711|/(|SGI711| + TP7) 
                 0.7176 
               
               
                 HIF712 
                 5.4045 
                 HIF712/HOI 
                 0.7206 
                 SGI712 
                 −1.7430 
                 |SGI712|/(|SGI712| + TP7) 
                 0.7499 
               
               
                 HIF721 
                 1.5362 
                 HIF721/HOI 
                 0.2048 
                 SGI721 
                 0.0700 
                 |SGI721|/(|SGI721| + TP7) 
                 0.1075 
               
               
                   
               
               
                 (Reference wavelength: 555 nm) 
               
            
           
         
       
     
     [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. 
     The first lens  310  has positive refractive power and is made of plastic. An object-side surface  312  thereof, which faces the object side, is a convex aspheric surface, and an image-side surface  314  thereof, which faces the image side, is a concave aspheric surface. 
     The second lens  320  has negative refractive power and is made of plastic. An object-side surface  322  thereof, which faces the object side, is a convex aspheric surface, and an image-side surface  324  thereof, which faces the image side, is a concave aspheric surface. The object-side surface  322  has an inflection point. 
     The third lens  330  has positive refractive power and is made of plastic. An object-side surface  332  thereof, which faces the object side, is a concave aspheric surface, and an image-side surface  334  thereof, which faces the image side, is a convex aspheric surface. 
     The fourth lens  340  has positive refractive power and is made of plastic. An object-side surface  342 , which faces the object side, is a convex aspheric surface, and an image-side surface  344 , which faces the image side, is a concave aspheric surface. The object-side surface  342  and the image-side surface  344  both have an inflection point. 
     The fifth lens  350  has negative refractive power and is made of plastic. An object-side surface  352 , which faces the object side, is a concave aspheric surface, and an image-side surface  354 , which faces the image side, is a convex aspheric surface. The object-side surface  352  has two inflection points, and the image-side surface  354  has an inflection point. 
     The sixth lens  360  has positive refractive power and is made of plastic. An object-side surface  362 , which faces the object side, is a convex surface, and an image-side surface  364 , which faces the image side, is a convex surface. The object-side surface  362  has an inflection point, and the image-side surface  364  has four inflection points. Whereby, the incident angle of each view field entering the sixth lens  360  can be effectively adjusted to improve aberration. 
     The seventh lens  370  has negative refractive power and is made of plastic. An object-side surface  372 , which faces the object side, is a concave surface, and an image-side surface  374 , which faces the image side, is a concave surface. It may help to shorten the back focal length to keep small in size. In addition, the object-side surface  372  has two inflection points, and the image-side surface  374  has an inflection point, which may reduce an incident angle of the light of an off-axis field of view and correct the aberration of the off-axis field of view. 
     The infrared rays filter  380  is made of glass and between the seventh lens  370  and the image plane  390 . The infrared rays filter  390  gives no contribution to the focal length of the system. 
     In the third embodiment, the optical image capturing system of the third embodiment further satisfies ΣPP=78.5104 mm; and f1/ΣPP=0.1151, where ΣPP is a sum of the focal lengths of each positive lens. It is helpful to share the positive refractive power of one single lens to other positive lenses to avoid the significant aberration caused by the incident rays. 
     The optical image capturing system of the third embodiment further satisfies ΣNP=−45.7313 mm; and f7/ΣNP=0.1319, where ΣNP is a sum of the focal lengths of each negative lens. It is helpful to share the negative refractive power of one single lens to the other negative lens. 
     The parameters of the lenses of the third embodiment are listed in Table 5 and Table 6. 
     
       
         
           
               
             
               
                 TABLE 5 
               
             
            
               
                   
               
               
                 f = 9.5618 mm; f/HEP = 2.4; HAF = 37.5 deg 
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                   
                   
                   
                   
                   
                   
                   
                 Focal 
               
               
                   
                   
                   
                 Thickness 
                   
                 Refractive 
                 Abbe 
                 length 
               
            
           
           
               
               
               
               
               
               
               
            
               
                 Surface 
                 Radius of curvature (mm) 
                 (mm) 
                 Material 
                 index 
                 number 
                 (mm) 
               
               
                   
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                 0 
                 Object 
                 plane 
                 infinity 
                   
                   
                   
                   
               
               
                 1 
                 1 st  lens 
                 4.458622634 
                 0.877 
                 plastic 
                 1.565 
                 58.00 
                 9.039 
               
               
                 2 
                   
                 31.92259502 
                 0.132 
                   
                   
                   
                   
               
               
                 3 
                 Aperture 
                 plane 
                 0.486 
                   
                   
                   
                   
               
               
                 4 
                 2 nd  lens 
                 6.321588325 
                 0.319 
                 plastic 
                 1.650 
                 21.40 
                 −19.494 
               
               
                 5 
                   
                 4.144642961 
                 0.676 
                   
                   
                   
                   
               
               
                 6 
                 3 rd  lens 
                 −20.59925719 
                 1.649 
                 plastic 
                 1.565 
                 58.00 
                 27.476 
               
               
                 7 
                   
                 −9.125206377 
                 0.182 
                   
                   
                   
                   
               
               
                 8 
                 4 th  lens 
                 10.94722522 
                 0.393 
                 plastic 
                 1.565 
                 58.00 
                 33.702 
               
               
                 9 
                   
                 25.31040695 
                 1.394 
                   
                   
                   
                   
               
               
                 10 
                 5 th  lens 
                 −2.265382263 
                 0.494 
                 plastic 
                 1.650 
                 21.40 
                 −20.204 
               
               
                 11 
                   
                 −2.968628844 
                 0.057 
                   
                   
                   
                   
               
               
                 12 
                 6 th  lens 
                 6.501396026 
                 1.324 
                 plastic 
                 1.583 
                 30.20 
                 8.293 
               
               
                 13 
                   
                 −17.85062529 
                 0.997 
                   
                   
                   
                   
               
               
                 14 
                 7 th  lens 
                 −5.581859792 
                 1.393 
                 plastic 
                 1.583 
                 30.20 
                 −6.034 
               
               
                 15 
                   
                 10.55945401 
                 1.000 
                   
                   
                   
                   
               
               
                 16 
                 Infrared 
                 plane 
                 0.300 
                 BK_7 
                 1.517 
                 64.2 
                   
               
               
                   
                 rays 
                   
                   
                   
                   
                   
                   
               
               
                   
                 filter 
                   
                   
                   
                   
                   
                   
               
               
                 17 
                   
                 plane 
                 0.423 
                   
                   
                   
                   
               
               
                 18 
                 Image 
                 plane 
                 0.032 
                   
                   
                   
                   
               
               
                   
                 plane 
                   
                   
                   
                   
                   
                   
               
               
                   
               
               
                 Reference wavelength (d-line): 555 nm. 
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 6 
               
               
                   
               
               
                 Coefficients of the aspheric surfaces 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                 Surface 
                 1 
                 2 
                 4 
                 5 
                 6 
                 7 
                 8 
               
               
                   
               
               
                 k 
                 −6.769918E+ 
                 −6.188364E+ 
                 −5.000000E+ 
                 −4.610981E+ 
                   3.619848E+ 
                   7.237748E+ 
                 −6.435971E+ 
               
               
                   
                 00 
                 00 
                 01 
                 00 
                 01 
                 00 
                 00 
               
               
                 A4 
                   9.837048E− 
                 −2.042280E− 
                   2.517370E− 
                 −1.235437E− 
                 −1.138829E− 
                 −4.713368E− 
                 −5.984906E− 
               
               
                   
                 03 
                 03 
                 03 
                 02 
                 03 
                 03 
                 03 
               
               
                 A6 
                 −1.028091E− 
                   5.748931E− 
                 −8.151008E− 
                   2.639372E− 
                 −3.002219E− 
                 −8.957672E− 
                 −2.516480E− 
               
               
                   
                 03 
                 04 
                 03 
                 03 
                 04 
                 04 
                 03 
               
               
                 A8 
                   1.947168E− 
                 −4.338855E− 
                   4.869132E− 
                 −7.497695E− 
                 −2.687398E− 
                 7.039258E− 
                   1.292396E− 
               
               
                   
                 04 
                 05 
                 03 
                 05 
                 04 
                 04 
                 03 
               
               
                 A10 
                 −3.693735E− 
                 −3.916043E− 
                 −1.644482E− 
                 −8.622551E− 
                   1.058477E− 
                 −2.523668E− 
                 −3.632848E− 
               
               
                   
                 05 
                 05 
                 03 
                 05 
                 04 
                 04 
                 04 
               
               
                 A12 
                   7.032633E− 
                   2.055394E− 
                   3.290150E− 
                   1.925433E− 
                 −1.927678E− 
                   4.735523E− 
                   5.736779E− 
               
               
                   
                 06 
                 05 
                 04 
                 05 
                 05 
                 05 
                 05 
               
               
                 A14 
                 −8.140090E− 
                 −4.306716E− 
                 −3.573085E− 
                 −1.506259E− 
                   3.547277E− 
                 −4.606171E− 
                 −4.642640E− 
               
               
                   
                 07 
                 06 
                 05 
                 06 
                 07 
                 06 
                 06 
               
               
                 A16 
                   3.109772E− 
                   3.274301E− 
                   1.573251E− 
                   1.805685E− 
                   1.612013E− 
                   1.832176E− 
                   1.469521E− 
               
               
                   
                 08 
                 07 
                 06 
                 08 
                 07 
                 07 
                 07 
               
               
                   
               
               
                 Surface 
                 9 
                 10 
                 11 
                 12 
                 13 
                 14 
                 15 
               
               
                   
               
               
                 k 
                 −5.000000E+ 
                 −1.126207E+ 
                 −6.621843E− 
                 −8.901952E+ 
                   1.137843E+ 
                 −5.654885E− 
                 −6.181232E− 
               
               
                   
                 01 
                 00 
                 01 
                 00 
                 01 
                 02 
                 01 
               
               
                 A4 
                 −9.357064E− 
                   4.514442E− 
                   2.856261E− 
                 −1.273411E− 
                 −6.416628E− 
                 −5.280222E− 
                 −5.381431E− 
               
               
                   
                 04 
                 02 
                 02 
                 02 
                 03 
                 03 
                 03 
               
               
                 A6 
                 −3.040558E− 
                 −1.809690E− 
                 −1.009240E− 
                   3.050361 
                   2.448657E− 
                   1.523583E− 
                   4.360113E− 
               
               
                   
                 03 
                 02 
                 02 
                 E−03 
                 03 
                 03 
                 04 
               
               
                 A8 
                   1.151924E− 
                   4.843654E− 
                   2.419435E− 
                 −5.10722 
                 −3.344984E− 
                 −1.838859E− 
                 −3.472939E− 
               
               
                   
                 03 
                 03 
                 03 
                 9E−04 
                 04 
                 04 
                 05 
               
               
                 A10 
                 −2.760117E− 
                 −8.632331E− 
                 −3.794917E− 
                   4.934688 
                   2.168603E− 
                   1.337660E− 
                   1.755233E− 
               
               
                   
                 04 
                 04 
                 04 
                 E−05 
                 05 
                 05 
                 06 
               
               
                 A12 
                   3.872468E− 
                   9.340766E− 
                   3.615582E− 
                 −3.22310 
                 −7.308963E− 
                 −5.527811E− 
                 −5.233690E− 
               
               
                   
                 05 
                 05 
                 05 
                 7E−06 
                 07 
                 07 
                 08 
               
               
                 A14 
                 −2.791092E− 
                 −5.377363E− 
                 −1.828714E− 
                   1.292612E− 
                   1.260641E− 
                   1.203841E− 
                   8.353595E− 
               
               
                   
                 06 
                 06 
                 06 
                 07 
                 08 
                 08 
                 10 
               
               
                 A16 
                   7.822557E− 
                   1.250015E− 
                   3.741685E− 
                 −2.293268E− 
                 −9.118725E− 
                 −1.078366E− 
                 −5.527053E− 
               
               
                   
                 08 
                 07 
                 08 
                 09 
                 11 
                 10 
                 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 
               
               
                   
                   
               
               
                   
                 0.495 
                 0.492 
                 1.506 
                 0.344 
                 0.586 
                 1.051 
               
               
                   
                   
               
            
           
           
               
               
               
               
               
               
               
            
               
                   
                 ETP7 
                 ETL 
                 EBL 
                 EIN 
                 EIR 
                 PIR 
               
               
                   
                   
               
               
                   
                 1.858 
                 11.702 
                 1.640 
                 10.062 
                 0.884 
                 1.000 
               
               
                   
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 EIN/ETL 
                 SETP/EIN 
                 EIR/PIR 
                 SETP 
                 STP 
                 SETP/STP 
               
               
                   
               
               
                 0.860 
                 0.629 
                 0.884 
                 6.333 
                 6.448 
                 0.982 
               
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 ETP1/TP1 
                 ETP2/TP2 
                 ETP3/TP3 
                 ETP4/TP4 
                 ETP5/TP5 
                 ETP6/TP6 
               
               
                   
               
               
                 0.565 
                 1.541 
                 0.914 
                 0.875 
                 1.188 
                 0.794 
               
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 ETP7/TP7 
                 BL 
                 EBL/BL 
                 SED 
                 SIN 
                 SED/SIN 
               
               
                   
               
               
                 1.334 
                 1.756 
                 0.9339 
                 3.729 
                 3.925 
                 0.950 
               
               
                   
               
            
           
           
               
               
               
               
               
               
               
            
               
                   
                 ED12 
                 ED23 
                 ED34 
                 ED45 
                 ED56 
                 ED67 
               
               
                   
                   
               
               
                   
                 0.700 
                 0.239 
                 0.516 
                 0.814 
                 0.695 
                 0.765 
               
               
                   
                   
               
            
           
           
               
               
               
               
               
               
            
               
                   
                   
                   
                 ED45/ 
                 ED56/ 
                 ED67/ 
               
               
                 ED12/IN12 
                 ED23/IN23 
                 ED34/IN34 
                 IN45 
                 IN56 
                 IN67 
               
               
                   
               
               
                 1.132 
                 0.353 
                 2.837 
                 0.584 
                 12.136 
                 0.767 
               
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 |f/f1| 
                 |f/f2| 
                 |f/f3| 
                 |f/f4| 
                 |f/f5| 
                 |f/f6| 
               
               
                   
               
               
                 1.0578 
                 0.4905 
                 0.3480 
                 0.2837 
                 0.4733 
                 1.1531 
               
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 |f/f7| 
                 ΣPPR 
                 ΣNPR 
                 ΣPPR/|ΣNPR| 
                 IN12/f 
                 IN67/f 
               
               
                   
               
               
                 1.5847 
                 2.8426 
                 2.5485 
                 1.1154 
                 0.0647 
                 0.1043 
               
               
                   
               
            
           
           
               
               
               
               
            
               
                 |f1/f2| 
                 |f2/f3| 
                 (TP1 + IN12)/TP2 
                 (TP7 + IN67)/TP6 
               
               
                   
               
               
                 0.4637 
                 0.7095 
                 4.6868 
                 1.8055 
               
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 HOS 
                 InTL 
                 HOS/HOI 
                 InS/HOS 
                 ODT % 
                 TDT % 
               
               
                   
               
               
                 12.1287 
                 10.3731 
                 1.6172 
                 0.9168 
                 1.9999 
                 1.0913 
               
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 HVT11 
                 HVT12 
                 HVT21 
                 HVT22 
                 HVT31 
                 HVT32 
               
               
                   
               
               
                 0.0000 
                 0.0000 
                 0.0000 
                 0.0000 
                 0.0000 
                 0.0000 
               
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 HVT61 
                 HVT62 
                 HVT71 
                 HVT72 
                 HVT72/HOI 
                 HVT72/HOS 
               
               
                   
               
               
                 2.3701 
                 0.0000 
                 0.0000 
                 2.9021 
                 0.3870 
                 0.2393 
               
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 MTFE0 
                 MTFE3 
                 MTFE7 
                 MTFQ0 
                 MTFQ3 
                 MTFQ7 
               
               
                   
               
               
                 0.88 
                 0.87 
                 0.85 
                 0.76 
                 0.75 
                 0.65 
               
               
                   
               
            
           
         
       
     
     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 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                 HIF211 
                 0.9746 
                 HIF211/HOI 
                 0.1299 
                 SGI211 
                 0.0590 
                 |SGI211|/(|SGI211| + TP2) 
                 0.1560 
               
               
                 HIF411 
                 0.9274 
                 HIF411/HOI 
                 0.1237 
                 SGI411 
                 0.0334 
                 |SGI411|/(|SGI411| + TP4) 
                 0.0784 
               
               
                 HIF421 
                 0.8439 
                 HIF421/HOI 
                 0.1125 
                 SGI421 
                 0.0126 
                 |SGI421|/(|SGI421| + TP4) 
                 0.0310 
               
               
                 HIF511 
                 2.5530 
                 HIF511/HOI 
                 0.3404 
                 SGI511 
                 −1.0094 
                 |SGI511|/(|SGI511| + TP5) 
                 0.6716 
               
               
                 HIF512 
                 3.0072 
                 HIF512/HOI 
                 0.4010 
                 SGI512 
                 −1.3198 
                 |SGI512|/(|SGI512| + TP5) 
                 0.7278 
               
               
                 HIF521 
                 2.6861 
                 HIF521/HOI 
                 0.3581 
                 SGI521 
                 −0.9666 
                 |SGI521|/(|SGI521| + TP5) 
                 0.6620 
               
               
                 HIF611 
                 1.2794 
                 HIF611/HOI 
                 0.1706 
                 SGI611 
                 0.0936 
                 |SGI611|/(|SGI611| + TP6) 
                 0.0660 
               
               
                 HIF621 
                 1.8102 
                 HIF621/HOI 
                 0.2414 
                 SGI621 
                 −0.1089 
                 |SGI621|/(|SGI621| + TP6) 
                 0.0760 
               
               
                 HIF622 
                 2.1205 
                 HIF622/HOI 
                 0.2827 
                 SGI622 
                 −0.1416 
                 |SGI622|/(|SGI622| + TP6) 
                 0.0966 
               
               
                 HIF623 
                 4.0505 
                 HIF623/HOI 
                 0.5401 
                 SGI623 
                 −0.6438 
                 |SGI623|/(|SGI623| + TP6) 
                 0.3272 
               
               
                 HIF624 
                 4.3558 
                 HIF624/HOI 
                 0.5808 
                 SGI624 
                 −0.7849 
                 |SGI624|/(|SGI624| + TP6) 
                 0.3722 
               
               
                 HIF711 
                 3.1387 
                 HIF711/HOI 
                 0.4185 
                 SGI711 
                 −0.9134 
                 |SGI711|/(|SGI711| + TP7) 
                 0.3960 
               
               
                 HIF712 
                 4.6732 
                 HIF712/HOI 
                 0.6231 
                 SGI712 
                 −1.5278 
                 |SGI712|/(|SGI712| + TP7) 
                 0.5230 
               
               
                 HIF721 
                 1.4794 
                 HIF721/HOI 
                 0.1973 
                 SGI721 
                 0.0819 
                 |SGI721|/(|SGI721| + TP7) 
                 0.0555 
               
               
                   
               
               
                 (Reference wavelength: 555 nm) 
               
            
           
         
       
     
     [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. 
     The first lens  410  has positive refractive power and is made of plastic. An object-side surface  412  thereof, which faces the object side, is a convex aspheric surface, and an image-side surface  414  thereof, which faces the image side, is a concave aspheric surface. 
     The second lens  420  has negative refractive power and is made of plastic. An object-side surface  422  thereof, which faces the object side, is a convex aspheric surface, and an image-side surface  424  thereof, which faces the image side, is a concave aspheric surface. The object-side surface  422  has an inflection point. 
     The third lens  430  has positive refractive power and is made of plastic. An object-side surface  432  thereof, which faces the object side, is a concave aspheric surface, and an image-side surface  434  thereof, which faces the image side, is a convex aspheric surface. 
     The fourth lens  440  has positive refractive power and is made of plastic. An object-side surface  442 , which faces the object side, is a concave aspheric surface, and an image-side surface  444 , which faces the image side, is a convex aspheric surface. The object-side surface  442  and the image-side surface  444  both have an inflection point. 
     The fifth lens  450  has negative refractive power and is made of plastic. An object-side surface  452 , which faces the object side, is a concave aspheric surface, and an image-side surface  454 , which faces the image side, is a convex aspheric surface. The object-side surface  452  has three inflection points, and the image-side surface  454  has an inflection point. 
     The sixth lens  460  has positive refractive power and is made of plastic. An object-side surface  462 , which faces the object side, is a convex surface, and an image-side surface  464 , which faces the image side, is a convex surface. The object-side surface  462  has an inflection point, and the image-side surface  464  has two inflection points. Whereby, the incident angle of each view field entering the sixth lens  460  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, and the image-side surface  474  has an inflection point, which may reduce an incident angle of the light of an off-axis field of view and correct the aberration of the off-axis field of view. 
     The infrared rays filter  480  is made of glass and between the seventh lens  470  and the image plane  490 . The infrared rays filter  480  gives no contribution to the focal length of the system. 
     In the fourth embodiment, the optical image capturing system of the fourth embodiment further satisfies ΣPP=78.8784 mm; and f1/ΣPP=0.1113, where ΣPP is a sum of the focal lengths of each positive lens. It is helpful to share the positive refractive power of one single lens to other positive lenses to avoid the significant aberration caused by the incident rays. 
     The optical image capturing system of the fourth embodiment further satisfies ΣNP=−42.9439 mm; and f7/ΣNP=0.1363, where ΣNP is a sum of the focal lengths of each negative lens. It is helpful to share the negative refractive power of the sixth lens  460  to the other negative lens. 
     The parameters of the lenses of the fourth embodiment are listed in Table 7 and Table 8. 
     
       
         
           
               
             
               
                 TABLE 7 
               
             
            
               
                   
               
               
                 f = 9.5666 mm; f/HEP = 2.8; HAF = 37.5 deg 
               
            
           
           
               
               
               
               
               
               
               
            
               
                   
                   
                   
                   
                   
                   
                 Focal 
               
               
                   
                 Radius of curvature 
                 Thickness 
                   
                 Refractive 
                 Abbe 
                 length 
               
               
                 Surface 
                 (mm) 
                 (mm) 
                 Material 
                 index 
                 number 
                 (mm) 
               
               
                   
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                 0 
                 Object 
                 plane 
                 infinity 
                   
                   
                   
                   
               
               
                 1 
                 1 st  lens 
                 4.788559965 
                 0.728 
                 plastic 
                 1.565 
                 58.00 
                 8.775 
               
               
                 2 
                   
                 121.5515646 
                 0.108 
                   
                   
                   
                   
               
               
                 3 
                 Aperture 
                 plane 
                 0.425 
                   
                   
                   
                   
               
               
                 4 
                 2 nd  lens 
                 6.563453471 
                 0.353 
                 plastic 
                 1.650 
                 21.40 
                 −18.156 
               
               
                 5 
                   
                 4.140212814 
                 0.686 
                   
                   
                   
                   
               
               
                 6 
                 3 rd  lens 
                 −15.64535928 
                 1.318 
                 plastic 
                 1.565 
                 58.00 
                 40.219 
               
               
                 7 
                   
                 −9.560449295 
                 0.449 
                   
                   
                   
                   
               
               
                 8 
                 4 th  lens 
                 −26.50102493 
                 0.681 
                 plastic 
                 1.565 
                 58.00 
                 21.587 
               
               
                 9 
                   
                 −8.448471717 
                 1.275 
                   
                   
                   
                   
               
               
                 10 
                 5 th  lens 
                 −2.3703115 
                 0.458 
                 plastic 
                 1.650 
                 21.40 
                 −18.933 
               
               
                 11 
                   
                 −3.154082475 
                 0.260 
                   
                   
                   
                   
               
               
                 12 
                 6 th  lens 
                 6.350358479 
                 1.224 
                 plastic 
                 1.583 
                 30.20 
                 8.297 
               
               
                 13 
                   
                 −19.33348548 
                 1.128 
                   
                   
                   
                   
               
               
                 14 
                 7 th  lens 
                 −5.556630688 
                 1.387 
                 plastic 
                 1.583 
                 30.20 
                 −5.855 
               
               
                 15 
                   
                 9.81809086 
                 1.000 
                   
                   
                   
                   
               
               
                 16 
                 Infrared 
                 plane 
                 0.300 
                 BK_7 
                 1.517 
                 64.2  
                   
               
               
                   
                 rays 
                   
                   
                   
                   
                   
                   
               
               
                   
                 filter 
                   
                   
                   
                   
                   
                   
               
               
                 17 
                   
                 plane 
                 0.421 
                   
                   
                   
                   
               
               
                 18 
                 Image 
                 plane 
                 0.027 
                   
                   
                   
                   
               
               
                   
                 plane 
                   
                   
                   
                   
                   
                   
               
               
                   
               
               
                 Reference wavelength (d-line): 555 nm. 
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 8 
               
               
                   
               
               
                 Coefficients of the aspheric surfaces 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
            
               
                   
                 Surface 
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                   
                 1 
                 2 
                 4 
                 5 
                 6 
                 7 
                 8 
               
               
                   
               
               
                 k 
                 −8.541451E+00 
                   5.000000E+01 
                 −5.000000E+01 
                 −1.255860E+00 
                   3.438780E+01 
                   1.037012E+01 
                   5.000000E+01 
               
               
                 A4 
                   1.054197E−02 
                   1.458164E−04 
                   7.218547E−03 
                 −1.329818E−02 
                 −3.083862E−03 
                 −4.374156E−03 
                 −6.951863E−03 
               
               
                 A6 
                 −1.095839E−03 
                   4.265172E−04 
                 −8.070234E−03 
                   2.322558E−03 
                 −1.147034E−04 
                 −8.820916E−04 
                 −2.543939E−03 
               
               
                 A8 
                   1.593040E−04 
                 −1.125463E−04 
                   4.485382E−03 
                 −2.002043E−04 
                 −1.578306E−04 
                   7.109484E−04 
                   1.290083E−03 
               
               
                 A10 
                 −1.021325E−05 
                 −6.667591E−07 
                 −1.623724E−03 
                 −5.609750E−05 
                   5.573740E−05 
                 −2.462473E−04 
                 −3.645877E−04 
               
               
                 A12 
                   5.847968E−06 
                   2.186462E−05 
                   3.553178E−04 
                   2.358188E−05 
                 −1.417555E−05 
                   4.756165E−05 
                   5.753038E−05 
               
               
                 A14 
                 −2.275257E−06 
                 −8.495319E−06 
                 −3.942184E−05 
                 −1.810874E−06 
                   1.976971E−06 
                 −4.611415E−06 
                 −4.629210E−06 
               
               
                 A16 
                   2.721299E−07 
                   1.040794E−06 
                   1.370809E−06 
                 −1.298768E−07 
                 −1.119901E−07 
                   1.685553E−07 
                   1.516391E−07 
               
               
                   
               
            
           
           
               
               
            
               
                   
                 Surface 
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                   
                 9 
                 10 
                 11 
                 12 
                 13 
                 14 
                 15 
               
               
                   
               
               
                 k 
                   5.330959E+00 
                 −1.196341E+00 
                 −6.824307E−01 
                 −6.404575E+00 
                   1.484850E+01 
                 −5.580928E−02 
                 −2.903132E−01 
               
               
                 A4 
                 −8.044999E−04 
                   4.578808E−02 
                   2.909557E−02 
                 −1.322926E−02 
                 −6.285271E−03 
                 −5.164617E−03 
                 −5.610506E−03 
               
               
                 A6 
                 −3.038872E−03 
                 −1.803425E−02 
                 −1.009390E−02 
                   3.112061E−03 
                   2.449247E−03 
                   1.520939E−03 
                   4.474495E−04 
               
               
                 A8 
                   1.141016E−03 
                   4.834947E−03 
                   2.420551E−03 
                 −5.106637E−04 
                 −3.348453E−04 
                 −1.839025E−04 
                 −3.491290E−05 
               
               
                 A10 
                 −2.772937E−04 
                 −8.645702E−04 
                 −3.797089E−04 
                   4.934527E−05 
                   2.166639E−05 
                   1.337651E−05 
                   1.753545E−06 
               
               
                 A12 
                   3.833665E−05 
                   9.332471E−05 
                   3.611415E−05 
                 −3.220971E−06 
                 −7.315875E−07 
                 −5.527936E−07 
                 −5.231885E−08 
               
               
                 A14 
                 −2.807598E−06 
                 −5.374714E−06 
                 −1.831530E−06 
                   1.291317E−07 
                   1.259274E−08 
                   1.203746E−08 
                   8.361821E−10 
               
               
                 A16 
                   9.023221E−08 
                   1.260842E−07 
                   3.774371E−08 
                 −2.360800E−09 
                 −9.081864E−11 
                 −1.079155E−10 
                 −5.517533E−12 
               
               
                   
               
            
           
         
       
     
     An equation of the aspheric surfaces of the fourth embodiment is the same as that of the first embodiment, and the definitions are the same as well. 
     The exact parameters of the fourth embodiment based on Table 7 and Table 8 are listed in the following table: 
     
       
         
           
               
             
               
                   
               
               
                 Fourth embodiment (Reference wavelength: 555 nm) 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
               
            
               
                   
                 ETP1 
                 ETP2 
                 ETP3 
                 ETP4 
                 ETP5 
                 ETP6 
               
               
                   
                   
               
               
                   
                 0.450 
                 0.474 
                 1.257 
                 0.599 
                 0.533 
                 1.003 
               
               
                   
                   
               
            
           
           
               
               
               
               
               
               
               
            
               
                   
                 ETP7 
                 ETL 
                 EBL 
                 EIN 
                 EIR 
                 PIR 
               
               
                   
                   
               
               
                   
                 1.749 
                 11.934 
                 1.645 
                 10.289 
                 0.897 
                 1.000 
               
               
                   
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 EIN/ETL 
                 SETP/EIN 
                 EIR/PIR 
                 SETP 
                 STP 
                 SETP/STP 
               
               
                   
               
               
                 0.862 
                 0.590 
                 0.897 
                 6.065 
                 6.149 
                 0.986 
               
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 ETP1/TP1 
                 ETP2/TP2 
                 ETP3/TP3 
                 ETP4/TP4 
                 ETP5/TP5 
                 ETP6/TP6 
               
               
                   
               
               
                 0.618 
                 1.344 
                 0.953 
                 0.880 
                 1.164 
                 0.819 
               
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 ETP7/TP7 
                 BL 
                 EBL/BL 
                 SED 
                 SIN 
                 SED/SIN 
               
               
                   
               
               
                 1.261 
                 1.748 
                 0.9411 
                 4.223 
                 4.331 
                 0.975 
               
               
                   
               
            
           
           
               
               
               
               
               
               
               
            
               
                   
                 ED12 
                 ED23 
                 ED34 
                 ED45 
                 ED56 
                 ED67 
               
               
                   
                   
               
               
                   
                 0.651 
                 0.308 
                 0.517 
                 1.066 
                 0.730 
                 0.952 
               
               
                   
                   
               
            
           
           
               
               
               
               
               
               
            
               
                   
                   
                   
                 ED45/ 
                 ED56/ 
                 ED67/ 
               
               
                 ED12/IN12 
                 ED23/IN23 
                 ED34/IN34 
                 IN45 
                 IN56 
                 IN67 
               
               
                   
               
               
                 1.220 
                 0.449 
                 1.149 
                 0.836 
                 2.808 
                 0.844 
               
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 |f/f1| 
                 |f/f2| 
                 |f/f3| 
                 |f/f4| 
                 |f/f5| 
                 |f/f6| 
               
               
                   
               
               
                 1.0902 
                 0.5269 
                 0.2379 
                 0.4432 
                 0.5053 
                 1.1530 
               
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 |f/f7| 
                 ΣPPR 
                 ΣNPR 
                 ΣPPR/|ΣNPR| 
                 IN12/f 
                 IN67/f 
               
               
                   
               
               
                 1.6339 
                 2.9242 
                 2.6661 
                 1.0968 
                 0.0557 
                 0.1179 
               
               
                   
               
            
           
           
               
               
               
               
            
               
                 |f1/f2| 
                 |f2/f3| 
                 (TP1 + IN12)/TP2 
                 (TP7 + IN67)/TP6 
               
               
                   
               
               
                 0.4833 
                 0.4514 
                 3.5722 
                 2.0547 
               
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 HOS 
                 InTL 
                 HOS/HOI 
                 InS/HOS 
                 ODT % 
                 TDT % 
               
               
                   
               
               
                 12.2277 
                 10.4799 
                 1.6304 
                 0.9317 
                 2.0000 
                 1.1825 
               
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 HVT11 
                 HVT12 
                 HVT21 
                 HVT22 
                 HVT31 
                 HVT32 
               
               
                   
               
               
                 0.0000 
                 0.0000 
                 0.0000 
                 0.0000 
                 0.0000 
                 0.0000 
               
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 HVT61 
                 HVT62 
                 HVT71 
                 HVT72 
                 HVT72/HOI 
                 HVT72/HOS 
               
               
                   
               
               
                 2.4666 
                 0.0000 
                 0.0000 
                 3.0243 
                 0.4032 
                 0.2473 
               
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 MTFE0 
                 MTFE3 
                 MTFE7 
                 MTFQ0 
                 MTFQ3 
                 MTFQ7 
               
               
                   
               
               
                 0.88 
                 0.87 
                 0.85 
                 0.74 
                 0.73 
                 0.63 
               
               
                   
               
            
           
         
       
     
     The results of the equations of the fourth embodiment based on Table 7 and Table 8 are listed in the following table: 
     
       
         
           
               
             
               
                   
               
               
                 Values related to the inflection points of the fourth embodiment 
               
               
                 (Reference wavelength: 555 nm) 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                 HIF211 
                 1.2844 
                 HIF211/HOI 
                 0.1712 
                 SGI211 
                   0.0959 
                 |SGI211|/(|SGI211| + TP2) 
                 0.2137 
               
               
                 HIF411 
                 2.6305 
                 HIF411/HOI 
                 0.3507 
                 SGI411 
                 −0.5590 
                 |SGI411|/(|SGI411| + TP4) 
                 0.4507 
               
               
                 HIF421 
                 2.7033 
                 HIF421/HOI 
                 0.3604 
                 SGI421 
                 −0.8491 
                 |SGI421|/(|SGI421| + TP4) 
                 0.5549 
               
               
                 HIF511 
                 2.6892 
                 HIF511/HOI 
                 0.3586 
                 SGI511 
                 −1.0098 
                 |SGI511|/(|SGI511| + TP5) 
                 0.6880 
               
               
                 H1F512 
                 2.9994 
                 HIF512/HOI 
                 0.3999 
                 SGI512 
                 −1.2196 
                 |SGI512|/(|SGI512| + TP5) 
                 0.7270 
               
               
                 HIF513 
                 3.1429 
                 HIF513/HOI 
                 0.4191 
                 SGI513 
                 −1.3157 
                 |SGI513|/(|SGI513| + TP5) 
                 0.7418 
               
               
                 HIF521 
                 2.6929 
                 HIF521/HOI 
                 0.3591 
                 SGI521 
                 −0.8562 
                 |SGI521|/(|SGI521| + TP5) 
                 0.6515 
               
               
                 HIF611 
                 1.3753 
                 HIF611/HOI 
                 0.1834 
                 SGI611 
                   0.1088 
                 |SGI611|/(|SGI611| + TP6) 
                 0.0816 
               
               
                 HIF621 
                 1.7184 
                 HIF621/HOI 
                 0.2291 
                 SGI621 
                 −0.0917 
                 |SGI621|/(|SGI621| + TP6) 
                 0.0697 
               
               
                 HIF622 
                 2.1923 
                 HIF622/HOI 
                 0.2923 
                 SGI622 
                 −0.1360 
                 |SGI622|/(|SGI622| + TP6) 
                 0.1000 
               
               
                 HIF711 
                 3.1340 
                 HIF711/HOI 
                 0.4179 
                 SGI711 
                 −0.9079 
                 |SGI711|/(|SGI711| + TP7) 
                 0.3956 
               
               
                 HIF712 
                 4.5559 
                 HIF712/HOI 
                 0.6075 
                 SGI712 
                 −1.4952 
                 |SGI712|/(|SGI712| + TP7) 
                 0.5188 
               
               
                 HIF721 
                 1.5264 
                 HIF721/HOI 
                 0.2035 
                 SGI721 
                   0.0935 
                 |SGI721|/(|SGI721| + TP7) 
                 0.0631 
               
               
                   
               
            
           
         
       
     
     [Fifth Embodiment] 
     As shown in  FIG. 5A  and  FIG. 5B , an optical image capturing system of the fifth embodiment of the present invention includes, along an optical axis from an object side to an image side, a first lens  510 , an aperture  500 , a second lens  520 , a third lens  530 , a fourth lens  540 , a fifth lens  550 , a sixth lens  560 , a seventh lens  570 , an infrared rays filter  580 , an image plane  590 , and an image sensor  592 .  FIG. 5C  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 object-side surface  522  and the image-side surface  524  both have an inflection point. 
     The third lens  530  has positive refractive power and is made of plastic. An object-side surface  532 , which faces the object side, is a convex aspheric surface, and an image-side surface  534 , which faces the image side, is a convex aspheric surface. The object-side surface  532  has two inflection points. 
     The fourth lens  540  has positive refractive power and is made of plastic. An object-side surface  542 , which faces the object side, is a convex aspheric surface, and an image-side surface  544 , which faces the image side, is a convex aspheric surface. The object-side surface  542  has an inflection point. 
     The fifth lens  550  has negative refractive power and is made of plastic. An object-side surface  552 , which faces the object side, is a concave aspheric surface, and an image-side surface  554 , which faces the image side, is a convex aspheric surface. The object-side surface  552  has two inflection points, and the image-side surface  554  has an inflection point. 
     The sixth lens  560  has positive refractive power and is made of plastic. An object-side surface  562 , which faces the object side, is a convex surface, and an image-side surface  564 , which faces the image side, is a convex surface. The object-side surface  562  has two inflection points, and the image-side surface  564  has three inflection points. Whereby, the incident angle of each view field entering the sixth lens  560  can be effectively adjusted to improve aberration. 
     The seventh lens  570  has negative refractive power and is made of plastic. An object-side surface  572 , which faces the object side, is a concave surface, and an image-side surface  574 , which faces the image side, is a concave surface. It may help to shorten the back focal length to keep small in size. In addition, the object-side surface  572  has two inflection points, and the image-side surface  574  has an inflection point, which may reduce an incident angle of the light of an off-axis field of view and correct the aberration of the off-axis field of view. 
     The infrared rays filter  580  is made of glass and between the seventh lens  570  and the image plane  590 . The infrared rays filter  580  gives no contribution to the focal length of the system. 
     In the fifth embodiment, the optical image capturing system of the fifth embodiment further satisfies ΣPP=77.0412 mm; and f1/ΣPP=0.1705, where ΣPP is a sum of the focal lengths of each positive lens. It is helpful to share the positive refractive power of one single lens to other positive lenses to avoid the significant aberration caused by the incident rays. 
     The optical image capturing system of the fifth embodiment further satisfies ΣNP=−162.0436 mm; and f7/ΣNP=0.0429, where ΣNP is a sum of the focal lengths of each negative lens. It is helpful to share the negative refractive power of one single lens to the other negative lens. 
     The parameters of the lenses of the fifth embodiment are listed in Table 9 and Table 10. 
     
       
         
           
               
             
               
                 TABLE 9 
               
             
            
               
                   
               
               
                 f = 6.5733 mm; f/HEP = 1.4; HAF = 42.5 deg 
               
            
           
           
               
               
               
               
               
               
               
            
               
                   
                   
                   
                   
                   
                   
                 Focal 
               
               
                   
                 Radius of curvature 
                 Thickness 
                   
                 Refractive 
                 Abbe 
                 length 
               
               
                 Surface 
                 (mm) 
                 (mm) 
                 Material 
                 index 
                 number 
                 (mm) 
               
               
                   
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                 0 
                 Object 
                 plane 
                 infinity 
                   
                   
                   
                   
               
               
                 1 
                 1 st  lens 
                 5.446364908 
                 1.040 
                 plastic 
                 1.565 
                 58.00 
                 13.139 
               
               
                 2 
                   
                 18.87365407 
                 0.121 
                   
                   
                   
                   
               
               
                 3 
                 Aperture 
                 plane 
                 0.000 
                   
                   
                   
                   
               
               
                 4 
                 2 nd  lens 
                 3.396487656 
                 0.300 
                 plastic 
                 1.650 
                 21.40 
                 −90.957 
               
               
                 5 
                   
                 3.101036314 
                 0.471 
                   
                   
                   
                   
               
               
                 6 
                 3 rd  lens 
                 1111.885105 
                 0.771 
                 plastic 
                 1.565 
                 54.50 
                 46.154 
               
               
                 7 
                   
                 −26.78814758 
                 0.468 
                   
                   
                   
                   
               
               
                 8 
                 4 th  lens 
                 21.12493198 
                 1.022 
                 plastic 
                 1.565 
                 58.00 
                 10.650 
               
               
                 9 
                   
                 −8.303556039 
                 0.829 
                   
                   
                   
                   
               
               
                 10 
                 5 th  lens 
                 −1.857091195 
                 1.420 
                 plastic 
                 1.650 
                 21.40 
                 −64.128 
               
               
                 11 
                   
                 −2.531101729 
                 0.050 
                   
                   
                   
                   
               
               
                 12 
                 6 th  lens 
                 4.26425423 
                 1.222 
                 plastic 
                 1.565 
                 58.00 
                 7.098 
               
               
                 13 
                   
                 −63.72206001 
                 0.387 
                   
                   
                   
                   
               
               
                 14 
                 7 th  lens 
                 −23.65770031 
                 0.790 
                 plastic 
                 1.650 
                 21.40 
                 −6.959 
               
               
                 15 
                   
                 5.725020915 
                 1.000 
                   
                   
                   
                   
               
               
                 16 
                 Infrared 
                 plane 
                 0.300 
                 BK_7 
                 1.517 
                 64.2 
                   
               
               
                   
                 rays 
                   
                   
                   
                   
                   
                   
               
               
                   
                 filter 
                   
                   
                   
                   
                   
                   
               
               
                 17 
                   
                 plane 
                 0.715 
                   
                   
                   
                   
               
               
                 18 
                 Image 
                 plane 
                 0.031 
                   
                   
                   
                   
               
               
                   
                 plane 
                   
                   
                   
                   
                   
                   
               
               
                   
               
               
                 Reference wavelength (d-line): 555 nm; the position of blocking light: blocking at the first surface with effective semi diameter of 2.750 mm; blocking at the seventh surface with effective semi diameter of 2.500 mm. 
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 10 
               
               
                   
               
               
                 Coefficients of the aspheric surfaces 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
            
               
                   
                 Surface 
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                   
                 1 
                 2 
                 4 
                 5 
                 6 
                 7 
                 8 
               
               
                   
               
               
                 k 
                   3.602747E−01 
                   3.097617E+01 
                 −4.914929E+00 
                 −9.449708E−01 
                 −5.000000E+01 
                   5.000000E+01 
                 −4.178150E+00 
               
               
                 A4 
                   1.025175E−03 
                 −8.694810E−03 
                 −8.340919E−03 
                 −1.113956E−02 
                 −1.649846E−03 
                 −1.101535E−02 
                 −1.191129E−02 
               
               
                 A6 
                   3.415693E−04 
                   3.302085E−03 
                 −1.258698E−03 
                 −3.166952E−03 
                   1.102903E−03 
                 −4.039507E−04 
                 −2.494873E−03 
               
               
                 A8 
                 −2.962521E−04 
                 −1.244063E−03 
                 −1.161113E−03 
                   3.628299E−04 
                 −3.720513E−04 
                   6.241343E−04 
                   9.331250E−04 
               
               
                 A10 
                   9.802308E−05 
                   3.390037E−04 
                   6.982355E−04 
                   1.591186E−04 
                   4.959135E−05 
                 −2.789218E−04 
                 −4.023604E−04 
               
               
                 A12 
                 −1.674386E−05 
                 −5.833077E−05 
                 −1.577616E−04 
                 −5.487693E−05 
                 −8.662730E−06 
                   6.243935E−05 
                   9.060507E−05 
               
               
                 A14 
                   1.465645E−06 
                   5.546200E−06 
                   1.675460E−05 
                   5.980045E−06 
                   1.396475E−06 
                 −6.722999E−06 
                 −1.061610E−05 
               
               
                 A16 
                 −5.229988E−08 
                 −2.210286E−07 
                 −7.061959E−07 
                 −1.960326E−07 
                 −6.322729E−08 
                   2.776015E−07 
                   4.736098E−07 
               
               
                   
               
            
           
           
               
               
            
               
                   
                 Surface 
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                   
                 9 
                 10 
                 11 
                 12 
                 13 
                 14 
                 15 
               
               
                   
               
               
                 k 
                 −2.888377E+01 
                 −6.539364E−01 
                 −5.980761E−01 
                 −1.326514E+01 
                 −4.269993E+01 
                   9.240303E+00 
                 −1.121151E+01 
               
               
                 A4 
                 −9.835062E−03 
                   2.945936E−02 
                   7.060393E−03 
                   1.838522E−03 
                 −6.822278E−03 
                   6.993184E−03 
                   8.517562E−03 
               
               
                 A6 
                 −1.122282E−03 
                 −7.400431E−03 
                 −2.559604E−04 
                 −8.947241E−04 
                   3.419590E−03 
                 −5.371355E−05 
                 −1.823942E−03 
               
               
                 A8 
                   1.245332E−04 
                   2.084361E−03 
                 −2.804894E−05 
                   2.008524E−04 
                 −5.633828E−04 
                 −1.823336E−04 
                   1.657220E−04 
               
               
                 A10 
                 −5.996834E−05 
                 −4.046282E−04 
                   2.586716E−05 
                 −2.845687E−05 
                   4.282588E−05 
                   2.332620E−05 
                 −8.391854E−06 
               
               
                 A12 
                   1.402146E−05 
                   5.840699E−05 
                 −3.712356E−06 
                   1.890028E−06 
                 −1.737673E−06 
                 −1.315443E−06 
                   2.409729E−07 
               
               
                 A14 
                 −1.214827E−06 
                 −4.740857E−06 
                   2.391870E−07 
                 −5.732399E−08 
                   3.700734E−08 
                   3.640479E−08 
                 −3.661828E−09 
               
               
                 A16 
                   2.793602E−08 
                   1.581652E−07 
                 −5.607171E−09 
                   6.541259E−10 
                 −3.242797E−10 
                 −4.077483E−10 
                   2.277145E−11 
               
               
                   
               
            
           
         
       
     
     An equation of the aspheric surfaces of the fifth embodiment is the same as that of the first embodiment, and the definitions are the same as well. 
     The exact parameters of the fifth embodiment based on Table 9 and Table 10 are listed in the following table: 
     
       
         
           
               
             
               
                   
               
               
                 Fifth embodiment (Reference wavelength: 555 nm) 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
               
            
               
                   
                 ETP1 
                 ETP2 
                 ETP3 
                 ETP4 
                 ETP5 
                 ETP6 
               
               
                   
                   
               
               
                   
                 0.596 
                 0.478 
                 0.451 
                 0.835 
                 1.630 
                 0.823 
               
               
                   
                   
               
            
           
           
               
               
               
               
               
               
               
            
               
                   
                 ETP7 
                 ETL 
                 EBL 
                 EIN 
                 EIR 
                 PIR 
               
               
                   
                   
               
               
                   
                 1.189 
                 10.428 
                 1.646 
                 8.783 
                 0.600 
                 1.000 
               
               
                   
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 EIN/ETL 
                 SETP/EIN 
                 EIR/PIR 
                 SETP 
                 STP 
                 SETP/STP 
               
               
                   
               
               
                 0.842 
                 0.683 
                 0.600 
                 6.003 
                 6.565 
                 0.914 
               
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 ETP1/TP1 
                 ETP2/TP2 
                 ETP3/TP3 
                 ETP4/TP4 
                 ETP5/TP5 
                 ETP6/TP6 
               
               
                   
               
               
                 0.573 
                 1.594 
                 0.585 
                 0.818 
                 1.148 
                 0.674 
               
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 ETP7/TP7 
                 BL 
                 EBL/BL 
                 SED 
                 SIN 
                 SED/SIN 
               
               
                   
               
               
                 1.506 
                 2.046 
                 0.8045 
                 2.780 
                 2.326 
                 1.195 
               
               
                   
               
            
           
           
               
               
               
               
               
               
               
            
               
                   
                 ED12 
                 ED23 
                 ED34 
                 ED45 
                 ED56 
                 ED67 
               
               
                   
                   
               
               
                   
                 0.273 
                 0.047 
                 0.427 
                 0.285 
                 1.335 
                 0.413 
               
               
                   
                   
               
            
           
           
               
               
               
               
               
               
            
               
                   
                   
                   
                 ED45/ 
                 ED56/ 
                 ED67/ 
               
               
                 ED12/IN12 
                 ED23/IN23 
                 ED34/IN34 
                 IN45 
                 IN56 
                 IN67 
               
               
                   
               
               
                 2.258 
                 0.099 
                 0.914 
                 0.344 
                 26.691 
                 1.066 
               
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 |f/f1| 
                 |f/f2| 
                 |f/f3| 
                 |f/f4| 
                 |f/f5| 
                 |f/f6| 
               
               
                   
               
               
                 0.5003 
                 0.0723 
                 0.1424 
                 0.6172 
                 0.1025 
                 0.9261 
               
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 |f/f7| 
                 ΣPPR 
                 ΣNPR 
                 ΣPPR/|ΣNPR| 
                 IN12/f 
                 IN67/f 
               
               
                   
               
               
                 0.9446 
                 2.1860 
                 1.1194 
                 1.9528 
                 0.0184 
                 0.0589 
               
               
                   
               
            
           
           
               
               
               
               
            
               
                 |f1/f2| 
                 |f2/f3| 
                 (TP1 + IN12)/TP2 
                 (TP7 + IN67)/TP6 
               
               
                   
               
               
                 0.1445 
                 1.9707 
                 3.8697 
                 0.9631 
               
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 HOS 
                 InTL 
                 HOS/HOI 
                 InS/HOS 
                 ODT % 
                 TDT % 
               
               
                   
               
               
                 10.9367 
                 8.8907 
                 1.4582 
                 0.8938 
                 24.0649 
                 14.4258 
               
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 HVT11 
                 HVT12 
                 HVT21 
                 HVT22 
                 HVT31 
                 HVT32 
               
               
                   
               
               
                 0.0000 
                 0.0000 
                 1.8837 
                 2.2022 
                 0.4002 
                 0.0000 
               
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 HVT61 
                 HVT62 
                 HVT71 
                 HVT72 
                 HVT72/HOI 
                 HVT72/HOS 
               
               
                   
               
               
                 2.9336 
                 0.0000 
                 0.0000 
                 4.2652 
                 0.5687 
                 0.3900 
               
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 MTFE0 
                 MTFE3 
                 MTFE7 
                 MTFQ0 
                 MTFQ3 
                 MTFQ7 
               
               
                   
               
               
                 0.86 
                 0.65 
                 0.75 
                 0.6 
                 0.1 
                 0.27 
               
               
                   
               
            
           
         
       
     
     The results of the equations of the fifth embodiment based on Table 9 and Table 10 are listed in the following table: 
     
       
         
           
               
             
               
                   
               
               
                 Values related to the inflection points of the fifth embodiment 
               
               
                 (Reference wavelength: 555 nm) 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                 HIF211 
                 1.0559 
                 HIF211/HOI 
                 0.1408 
                 SGI211 
                 0.1380 
                 |SGI211|/(|SGI211| + TP2) 
                 0.3151 
               
               
                 HIF221 
                 1.2431 
                 HIF221/HOI 
                 0.1657 
                 SGI221 
                 0.2143 
                 |SGI221|/(|SGI221| + TP2) 
                 0.4166 
               
               
                 HIF311 
                 0.2221 
                 HIF311/HOI 
                 0.0296 
                 SGI311 
                 0.00002 
                 |SGI311|/(|SGI311| + TP3) 
                 0.00002 
               
               
                 HIF312 
                 2.1666 
                 HIF312/HOI 
                 0.2889 
                 SGI312 
                 −0.0252 
                 |SGI312|/(|SGI312| + TP3) 
                 0.0317 
               
               
                 HIF411 
                 0.5411 
                 HIF411/HOI 
                 0.0722 
                 SGI411 
                 0.0058 
                 |SGI411|/(|SGI411| + TP4) 
                 0.0057 
               
               
                 HIF511 
                 2.1614 
                 HIF511/HOI 
                 0.2882 
                 SGI511 
                 −1.0614 
                 |SGI511|/(|SGI511| + TP5) 
                 0.4278 
               
               
                 HIF512 
                 2.7106 
                 HIF512/HOI 
                 0.3614 
                 SGI512 
                 −1.4982 
                 |SGI512|/(|SGI512| + TP5) 
                 0.5134 
               
               
                 HIF521 
                 2.5210 
                 HIF521/HOI 
                 0.3361 
                 SGI521 
                 −1.1318 
                 |SGI521|/(|SGI521| + TP5) 
                 0.4435 
               
               
                 HIF611 
                 1.8550 
                 HIF611/HOI 
                 0.2473 
                 SGI611 
                 0.2885 
                 |SGI611|/(|SGI611| + TP6) 
                 0.1910 
               
               
                 HIF612 
                 3.8589 
                 HIF612/HOI 
                 0.5145 
                 SGI612 
                 0.1827 
                 |SGI612|/(|SGI612| + TP6) 
                 0.1301 
               
               
                 HIF621 
                 1.1967 
                 HIF621/HOI 
                 0.1596 
                 SGI621 
                 −0.0173 
                 |SGI621|/(|SGI621| + TP6) 
                 0.0139 
               
               
                 HIF622 
                 2.2074 
                 HIF622/HOI 
                 0.2943 
                 SGI622 
                 −0.0250 
                 |SGI622|/(|SGI622| + TP6) 
                 0.0201 
               
               
                 HIF623 
                 4.0580 
                 HIF623/HOI 
                 0.5411 
                 SGI623 
                 −0.5252 
                 |SGI623|/(|SGI623| + TP6) 
                 0.3006 
               
               
                 HIF711 
                 0.7303 
                 HIF711/HOI 
                 0.0974 
                 SGI711 
                 −0.0093 
                 |SGI711|/(|SGI711| + TP7) 
                 0.0117 
               
               
                 HIF712 
                 1.9781 
                 HIF712/HOI 
                 0.2637 
                 SGI712 
                 −0.0060 
                 |SGI712|/(|SGI712| + TP7) 
                 0.0075 
               
               
                 HIF721 
                 2.0688 
                 HIF721/HOI 
                 0.2758 
                 SGI721 
                 0.3537 
                 |SGI721|/(|SGI721| + TP7) 
                 0.3093 
               
               
                   
               
            
           
         
       
     
     [Sixth Embodiment] 
     As shown in  FIG. 6A  and  FIG. 6B , an optical image capturing system of the sixth embodiment of the present invention includes, along an optical axis from an object side to an image side, a first lens  610 , an aperture  600 , a second lens  620 , a third lens  630 , a fourth lens  640 , a fifth lens  650 , a sixth 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. 
     The first lens  610  has positive refractive power and is made of plastic. An object-side surface  612 , which faces the object side, is a convex aspheric surface, and an image-side surface  614 , which faces the image side, is a concave aspheric surface. 
     The second lens  620  has negative refractive power and is made of plastic. An object-side surface  622  thereof, which faces the object side, is a convex aspheric surface, and an image-side surface  624  thereof, which faces the image side, is a concave aspheric surface. The object-side surface  612  and the image-side surface  614  both have an inflection point. 
     The third lens  630  has positive refractive power and is made of plastic. An object-side surface  632 , which faces the object side, is a convex aspheric surface, and an image-side surface  634 , which faces the image side, is a convex aspheric surface. The object-side surface  632  has an inflection point. 
     The fourth lens  640  has positive refractive power and is made of plastic. An object-side surface  642 , which faces the object side, is a concave aspheric surface, and an image-side surface  644 , which faces the image side, is a convex aspheric surface. 
     The fifth lens  650  has positive refractive power and is made of plastic. An object-side surface  652 , which faces the object side, is a concave aspheric surface, and an image-side surface  654 , which faces the image side, is a convex aspheric surface. The object-side surface  652  has two inflection points, and the image-side surface  654  has an inflection point. 
     The sixth lens  660  has positive refractive power and is made of plastic. An object-side surface  662 , which faces the object side, is a convex surface, and an image-side surface  664 , which faces the image side, is a convex surface. The object-side surface  662  has an inflection point, and the image-side surface  664  has two inflection points. Whereby, the incident angle of each view field entering the sixth lens  660  can be effectively adjusted to improve aberration. 
     The seventh lens  670  has negative refractive power and is made of plastic. An object-side surface  672 , which faces the object side, is a concave surface, and an image-side surface  674 , which faces the image side, is a concave surface. The image-side surface  664  has an inflection point. It may help to shorten the back focal length to keep small in size. In addition, it may reduce an incident angle of the light of an off-axis field of view and correct the aberration of the off-axis field of view. 
     The infrared rays filter  680  is made of glass and between the seventh lens  670  and the image plane  690 . The infrared rays filter  680  gives no contribution to the focal length of the system. 
     The optical image capturing system of the sixth embodiment further satisfies ΣPP=126.2162 mm; and f1/ΣPP=0.1279, where ΣPP is a sum of the focal lengths of each positive lens. It is helpful to share the positive refractive power of one single lens to other positive lenses to avoid the significant aberration caused by the incident rays. 
     The optical image capturing system of the sixth embodiment further satisfies ΣNP=−67.2059 mm; and f7/ΣNP=0.0439, where ΣNP is a sum of the focal lengths of each negative lens. It is helpful to share the negative refractive power of one single lens to the other negative lens to avoid the significant aberration caused by the incident rays. 
     The parameters of the lenses of the sixth embodiment are listed in Table 11 and Table 12. 
     
       
         
           
               
             
               
                 TABLE 11 
               
             
            
               
                   
               
               
                 f = 5.5641 mm; f/HEP = 1.4; HAF = 47.4997 deg 
               
            
           
           
               
               
               
               
               
               
               
            
               
                   
                   
                   
                   
                   
                   
                 Focal 
               
               
                   
                 Radius of curvature 
                 Thickness 
                   
                 Refractive 
                 Abbe 
                 length 
               
               
                 Surface 
                 (mm) 
                 (mm) 
                 Material 
                 index 
                 number 
                 (mm) 
               
               
                   
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                 0 
                 Object 
                 plane 
                 infinity 
                   
                   
                   
                   
               
               
                 1 
                 1 st  lens 
                 4.835295814 
                 0.900 
                 plastic 
                 1.583 
                 30.20 
                 16.143 
               
               
                 2 
                   
                 9.202478641 
                 0.285 
                   
                   
                   
                   
               
               
                 3 
                 Aperture 
                 plane 
                 0.000 
                   
                   
                   
                   
               
               
                 4 
                 2 nd  lens 
                 3.441455186 
                 0.300 
                 plastic 
                 1.650 
                 21.40 
                 −64.253 
               
               
                 5 
                   
                 3.071668034 
                 0.224 
                   
                   
                   
                   
               
               
                 6 
                 3 rd  lens 
                 23.31186563 
                 0.956 
                 plastic 
                 1.565 
                 58.00 
                 9.049 
               
               
                 7 
                   
                 −6.477580922 
                 0.444 
                   
                   
                   
                   
               
               
                 8 
                 4 th  lens 
                 −17.052696 
                 0.683 
                 plastic 
                 1.583 
                 30.20 
                 32.205 
               
               
                 9 
                   
                 −9.094338954 
                 0.484 
                   
                   
                   
                   
               
               
                 10 
                 5 th  lens 
                 −1.774149519 
                 1.310 
                 plastic 
                 1.650 
                 21.40 
                 65.478 
               
               
                 11 
                   
                 −2.201644982 
                 0.050 
                   
                   
                   
                   
               
               
                 12 
                 6 th  lens 
                 4.867708036 
                 1.710 
                 plastic 
                 1.565 
                 58.00 
                 3.341 
               
               
                 13 
                   
                 −2.705046837 
                 0.050 
                   
                   
                   
                   
               
               
                 14 
                 7 th  lens 
                 −494.7308627 
                 0.319 
                 plastic 
                 1.632 
                 23.40 
                 −2.953 
               
               
                 15 
                   
                 1.888118555 
                 1.000 
                   
                   
                   
                   
               
               
                 16 
                 Infrared 
                 plane 
                 0.300 
                 BK_7 
                 1.517 
                 64.2 
                   
               
               
                   
                 rays 
                   
                   
                   
                   
                   
                   
               
               
                   
                 filter 
                   
                   
                   
                   
                   
                   
               
               
                 17 
                   
                 plane 
                 0.844 
                   
                   
                   
                   
               
               
                 18 
                 Image 
                 plane 
                 0.030 
                   
                   
                   
                   
               
               
                   
                 plane 
                   
                   
                   
                   
                   
                   
               
               
                   
               
               
                 Reference wavelength (d-line): 555 nm; the position of blocking light: blocking at the fifth surface with effective semi diameter of 1.800 mm. 
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 12 
               
               
                   
               
               
                 Coefficients of the aspheric surfaces 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
            
               
                   
                 Surface 
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                   
                 1 
                 2 
                 4 
                 5 
                 6 
                 7 
                 8 
               
               
                   
               
               
                 k 
                   2.768284E+00 
                 −5.000000E+01 
                 −1.035316E+01 
                 −8.272938E−02 
                   3.601860E+01 
                   7.814113E+00 
                   4.524743E+01 
               
               
                 A4 
                 −1.475794E−03 
                 −1.088211E−03 
                 −5.308306E−03 
                 −2.364538E−02 
                   4.629937E−03 
                 −9.146872E−03 
                 −2.590179E−02 
               
               
                 A6 
                 −2.331608E−04 
                   2.062780E−03 
                 −1.187216E−02 
                 −5.094192E−03 
                   2.194458E−04 
                 −1.315089E−03 
                 −1.117375E−03 
               
               
                 A8 
                 −4.121856E−05 
                 −8.257885E−04 
                   3.585864E−03 
                   2.778677E−03 
                   5.904392E−04 
                   1.721749E−03 
                   1.799055E−04 
               
               
                 A10 
                   1.938112E−05 
                   2.459819E−04 
                 −4.421450E−04 
                 −6.203167E−04 
                 −3.772064E−04 
                 −6.934823E−04 
                   1.170661E−05 
               
               
                 A12 
                 −4.307645E−06 
                 −3.183023E−05 
                 −8.389137E−07 
                   8.042273E−05 
                   8.304326E−05 
                   1.461540E−04 
                 −8.184639E−06 
               
               
                 A14 
                 −1.796938E−07 
                 −2.247683E−06 
                   2.054647E−06 
                 −9.987278E−06 
                 −1.015623E−05 
                 −1.374920E−05 
                   2.951361E−06 
               
               
                 A16 
                   5.534772E−08 
                   9.836096E−07 
                 −1.372780E−07 
                 −1.233460E−07 
                 −1.487042E−07 
                   5.950855E−07 
                 −1.618381E−06 
               
               
                   
               
            
           
           
               
               
            
               
                   
                 Surface 
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                   
                 9 
                 10 
                 11 
                 12 
                 13 
                 14 
                 15 
               
               
                   
               
               
                 k 
                 −1.024500E+00 
                 −5.565418E−01 
                 −6.036603E−01 
                   4.086985E−02 
                 −2.098867E+01 
                   5.000000E+01 
                 −6.302732E+00 
               
               
                 A4 
                 −1.978975E−02 
                   2.414207E−02 
                   1.317775E−02 
                 −1.104408E−02 
                 −5.902830E−03 
                 −8.544737E−03 
                 −5.130267E−03 
               
               
                 A6 
                 −1.703764E−03 
                 −6.364618E−03 
                 −2.350597E−03 
                   1.594649E−03 
                   2.891567E−03 
                   1.563878E−03 
                   4.397092E−04 
               
               
                 A8 
                 −1.278484E−05 
                   1.339730E−03 
                   5.627750E−04 
                 −1.783258E−04 
                 −3.862756E−04 
                 −1.634816E−04 
                 −2.936151E−05 
               
               
                 A10 
                 −2.950492E−05 
                 −6.883022E−05 
                 −5.960294E−05 
                   9.891271E−06 
                   2.474392E−05 
                   9.876828E−06 
                   1.303617E−06 
               
               
                 A12 
                   1.818520E−05 
                   1.340413E−05 
                   5.877376E−06 
                 −3.399782E−07 
                 −8.467402E−07 
                 −3.371806E−07 
                 −3.620071E−08 
               
               
                 A14 
                 −1.042020E−06 
                 −1.827701E−06 
                 −3.791703E−07 
                   8.475571E−09 
                   1.489296E−08 
                   5.979359E−09 
                   5.537102E−10 
               
               
                 A16 
                 −3.109811E−07 
                   8.816615E−08 
                   1.052032E−08 
                 −1.363672E−10 
                 −1.069406E−10 
                 −4.271087E−11 
                 −3.571421E−12 
               
               
                   
               
            
           
         
       
     
     An equation of the aspheric surfaces of the sixth embodiment is the same as that of the first embodiment, and the definitions are the same as well. 
     The exact parameters of the sixth embodiment based on Table 11 and Table 12 are listed in the following table: 
     
       
         
           
               
             
               
                   
               
               
                 Sixth embodiment (Reference wavelength: 555 nm) 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
               
            
               
                   
                 ETP1 
                 ETP2 
                 ETP3 
                 ETP4 
                 ETP5 
                 ETP6 
               
               
                   
                   
               
               
                   
                 0.678 
                 0.490 
                 0.434 
                 0.658 
                 1.507 
                 1.148 
               
               
                   
                   
               
            
           
           
               
               
               
               
               
               
               
            
               
                   
                 ETP7 
                 ETL 
                 EBL 
                 EIN 
                 EIR 
                 PIR 
               
               
                   
                   
               
               
                   
                 0.842 
                 9.511 
                 1.708 
                 7.803 
                 0.534 
                 1.000 
               
               
                   
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 EIN/ETL 
                 SETP/EIN 
                 EIR/PIR 
                 SETP 
                 STP 
                 SETP/STP 
               
               
                   
               
               
                 0.820 
                 0.738 
                 0.534 
                 5.758 
                 6.178 
                 0.932 
               
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 ETP1/TP1 
                 ETP2/TP2 
                 ETP3/TP3 
                 ETP4/TP4 
                 ETP5/TP5 
                 ETP6/TP6 
               
               
                   
               
               
                 0.754 
                 1.635 
                 0.455 
                 0.964 
                 1.151 
                 0.671 
               
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 ETP7/TP7 
                 BL 
                 EBL/BL 
                 SED 
                 SIN 
                 SED/SIN 
               
               
                   
               
               
                 2.637 
                 2.174 
                 0.7856 
                 2.045 
                 1.537 
                 1.330 
               
               
                   
               
            
           
           
               
               
               
               
               
               
               
            
               
                   
                 ED12 
                 ED23 
                 ED34 
                 ED45 
                 ED56 
                 ED67 
               
               
                   
                   
               
               
                   
                 0.233 
                 0.047 
                 0.416 
                 0.043 
                 1.021 
                 0.284 
               
               
                   
                   
               
            
           
           
               
               
               
               
               
               
            
               
                   
                   
                   
                 ED45/ 
                 ED56/ 
                 ED67/ 
               
               
                 ED12/IN12 
                 ED23/IN23 
                 ED34/IN34 
                 IN45 
                 IN56 
                 IN67 
               
               
                   
               
               
                 0.817 
                 0.211 
                 0.936 
                 0.089 
                 20.428 
                 5.687 
               
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 |f/f1| 
                 |f/f2| 
                 |f/f3| 
                 |f/f4| 
                 |f/f5| 
                 |f/f6| 
               
               
                   
               
               
                 0.3447 
                 0.0866 
                 0.6149 
                 0.1728 
                 0.0850 
                 1.6655 
               
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 |f/f7| 
                 ΣPPR 
                 ΣNPR 
                 ΣPPR/|ΣNPR| 
                 IN12/f 
                 IN67/f 
               
               
                   
               
               
                 1.8844 
                 2.8829 
                 1.9710 
                 1.4627 
                 0.0512 
                 0.0090 
               
               
                   
               
            
           
           
               
               
               
               
            
               
                 |f1/f2| 
                 |f2/f3| 
                 (TP1 + IN12)/TP2 
                 (TP7 + IN67)/TP6 
               
               
                   
               
               
                 0.2512 
                 7.1009 
                 3.9501 
                 0.2159 
               
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 HOS 
                 InTL 
                 HOS/HOI 
                 InS/HOS 
                 ODT % 
                 TDT % 
               
               
                   
               
               
                 9.8889 
                 7.7147 
                 1.3185 
                 0.8802 
                 23.1027 
                 15.1146 
               
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 HVT11 
                 HVT12 
                 HVT21 
                 HVT22 
                 HVT31 
                 HVT32 
               
               
                   
               
               
                 0.0000 
                 0.0000 
                 1.4514 
                 0.0000 
                 0.0000 
                 0.0000 
               
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 HVT61 
                 HVT62 
                 HVT71 
                 HVT72 
                 HVT72/HOI 
                 HVT72/HOS 
               
               
                   
               
               
                 3.4244 
                 0.0000 
                 0.0000 
                 4.0945 
                 0.5459 
                 0.4140 
               
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 MTFE0 
                 MTFE3 
                 MTFE7 
                 MTFQ0 
                 MTFQ3 
                 MTFQ7 
               
               
                   
               
               
                 0.85 
                 0.64 
                 0.65 
                 0.52 
                 0.001 
                 0.008 
               
               
                   
               
            
           
         
       
     
     The results of the equations of the sixth embodiment based on Table 11 and Table 12 are listed in the following table: 
     
       
         
           
               
             
               
                   
               
               
                 Values related to the inflection points of the sixth embodiment 
               
               
                 (Reference wavelength: 555 nm) 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                 HIF211 
                 0.8235 
                 HIF211/HOI 
                 0.1098 
                 SGI211 
                 0.0825 
                 |SGI211|/(|SGI211| + TP2) 
                 0.2158 
               
               
                 HIF221 
                 1.1073 
                 HIF221/HOI 
                 0.1476 
                 SGI221 
                 0.1658 
                 |SGI221|/(|SGI221| + TP2) 
                 0.3559 
               
               
                 HIF311 
                 1.5989 
                 HIF311/HOI 
                 0.2132 
                 SGI311 
                 0.0911 
                 |SGI311|/(|SGI311| + TP3) 
                 0.0870 
               
               
                 HIF511 
                 1.9364 
                 HIF511/HOI 
                 0.2582 
                 SGI511 
                 −1.0136 
                 |SGI511|/(|SGI511| + TP5) 
                 0.4363 
               
               
                 HIF512 
                 2.3698 
                 HIF512/HOI 
                 0.3160 
                 SGI512 
                 −1.4047 
                 |SGI512|/(|SGI512| + TP5) 
                 0.5175 
               
               
                 HIF521 
                 2.1173 
                 HIF521/HOI 
                 0.2823 
                 SGI521 
                 −0.9258 
                 |SGI521|/(|SGI521| + TP5) 
                 0.4141 
               
               
                 HIF611 
                 2.3238 
                 HIF611/HOI 
                 0.3098 
                 SGI611 
                 0.4076 
                 |SGI611|/(|SGI611| + TP6) 
                 0.1925 
               
               
                 HIF621 
                 1.2488 
                 HIF621/HOI 
                 0.1665 
                 SGI621 
                 −0.1805 
                 |SGI621|/(|SGI621| + TP6) 
                 0.0955 
               
               
                 HIF622 
                 2.8784 
                 HIF622/HOI 
                 0.3838 
                 SGI622 
                 −0.3737 
                 |SGI622|/(|SGI622| + TP6) 
                 0.1793 
               
               
                 HIF721 
                 1.3346 
                 HIF721/HOI 
                 0.1779 
                 SGI721 
                 0.3101 
                 |SGI721|/(|SGI721| + TP7) 
                 0.4927 
               
               
                   
               
            
           
         
       
     
     [Seventh Embodiment] 
     As shown in  FIG. 7A  and  FIG. 7B , an optical image capturing system of the seventh embodiment of the present invention includes, along an optical axis from an object side to an image side, a first lens  710 , an aperture  700 , a second lens  720 , a third lens  730 , a fourth lens  740 , a fifth lens  750 , a sixth 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. 
     The first lens  710  has positive refractive power and is made of plastic. An object-side surface  712 , which faces the object side, is a convex aspheric surface, and an image-side surface  714 , which faces the image side, is a concave aspheric surface. 
     The second lens  720  has negative refractive power and is made of plastic. An object-side surface  722  thereof, which faces the object side, is a convex aspheric surface, and an image-side surface  724  thereof, which faces the image side, is a concave aspheric surface. The object-side surface  722  has an inflection point. 
     The third lens  730  has positive refractive power and is made of plastic. An object-side surface  732 , which faces the object side, is a concave aspheric surface, and an image-side surface  734 , which faces the image side, is a convex aspheric surface. 
     The fourth lens  740  has positive refractive power and is made of plastic. An object-side surface  742 , which faces the object side, is a concave aspheric surface, and an image-side surface  744 , which faces the image side, is a convex aspheric surface. 
     The fifth lens  750  has negative refractive power and is made of plastic. An object-side surface  752 , which faces the object side, is a concave aspheric surface, and an image-side surface  754 , which faces the image side, is a convex aspheric surface. The image-side surface  754  has an inflection point. 
     The sixth lens  760  has positive refractive power and is made of plastic. An object-side surface  762 , which faces the object side, is a convex surface, and an image-side surface  764 , which faces the image side, is a convex surface. The object-side surface  762  has two inflection points, and the image-side surface  764  has three inflection points. Whereby, the incident angle of each view field entering the sixth lens  760  can be effectively adjusted to improve aberration. 
     The seventh lens  770  has negative refractive power and is made of plastic. An object-side surface  772 , which faces the object side, is a concave aspheric surface, and an image-side surface  774 , which faces the image side, is a concave aspheric surface. The image-side surface  774  has an inflection point. It may help to shorten the back focal length to keep small in size. In addition, it may reduce an incident angle of the light of an off-axis field of view and correct the aberration of the off-axis field of view. 
     The infrared rays filter  780  is made of glass and between the seventh lens  770  and the image plane  790 . The infrared rays filter  780  gives no contribution to the focal length of the system. 
     The optical image capturing system of the seventh embodiment further satisfies ΣPP=51.7940 mm; and f1/ΣPP=0.2627, where ΣPP is a sum of the focal lengths of each positive lens. It is helpful to share the positive refractive power of one single lens to other positive lenses to avoid the significant aberration caused by the incident rays. 
     The optical image capturing system of the seventh embodiment further satisfies ΣNP=−123.3579 mm; and f7/ΣNP=0.0412, where ΣNP is a sum of the focal lengths of each negative lens. It is helpful to share the negative refractive power of one single lens to the other negative lens to avoid the significant aberration caused by the incident rays. 
     The parameters of the lenses of the seventh embodiment are listed in Table 13 and Table 14. 
     
       
         
           
               
             
               
                 TABLE 13 
               
             
            
               
                   
               
               
                 f = 6.7312 mm; f/HEP = 2.4; HAF = 47.5 deg 
               
            
           
           
               
               
               
               
               
               
               
            
               
                   
                   
                   
                   
                   
                   
                 Focal 
               
               
                   
                 Radius of curvature 
                 Thickness 
                   
                 Refractive 
                 Abbe 
                 length 
               
               
                 Surface 
                 (mm) 
                 (mm) 
                 Material 
                 index 
                 number 
                 (mm) 
               
               
                   
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                 0 
                 Object 
                 plane 
                 infinity 
                   
                   
                   
                   
               
               
                 1 
                 1 st  lens 
                 4.576054873 
                 0.584 
                 plastic 
                 1.565 
                 58.00 
                 13.609 
               
               
                 2 
                   
                 10.73151703 
                 0.146 
                   
                   
                   
                   
               
               
                 3 
                 Aperture 
                 plane 
                 0.000 
                   
                   
                   
                   
               
               
                 4 
                 2 nd  lens 
                 4.349729546 
                 0.300 
                 plastic 
                 1.650 
                 21.40 
                 −78.642 
               
               
                 5 
                   
                 3.901701278 
                 0.466 
                   
                   
                   
                   
               
               
                 6 
                 3 rd  lens 
                 −105.5977355 
                 0.736 
                 plastic 
                 1.565 
                 58.00 
                 13.873 
               
               
                 7 
                   
                 −7.33624907 
                 0.600 
                   
                   
                   
                   
               
               
                 8 
                 4 th  lens 
                 −12.30461992 
                 1.093 
                 plastic 
                 1.565 
                 58.00 
                 16.081 
               
               
                 9 
                   
                 −5.404219933 
                 0.305 
                   
                   
                   
                   
               
               
                 10 
                 5 th  lens 
                 −2.042065329 
                 1.038 
                 plastic 
                 1.650 
                 21.40 
                 −39.630 
               
               
                 11 
                   
                 −2.662144583 
                 0.299 
                   
                   
                   
                   
               
               
                 12 
                 6 th  lens 
                 5.225384838 
                 1.002 
                 plastic 
                 1.565 
                 58.00 
                 8.231 
               
               
                 13 
                   
                 −40.50587392 
                 1.179 
                   
                   
                   
                   
               
               
                 14 
                 7 th  lens 
                 −5.140384905 
                 0.683 
                 plastic 
                 1.583 
                 30.20 
                 −5.086 
               
               
                 15 
                   
                 7.455490677 
                 1.000 
                   
                   
                   
                   
               
               
                 16 
                 Infrared 
                 plane 
                 0.300 
                 BK_7 
                 1.517 
                 64.2 
                   
               
               
                   
                 rays 
                   
                   
                   
                   
                   
                   
               
               
                   
                 filter 
                   
                   
                   
                   
                   
                   
               
               
                 17 
                   
                 plane 
                 0.308 
                   
                   
                   
                   
               
               
                 18 
                 Image 
                 plane 
                 0.021 
                   
                   
                   
                   
               
               
                   
                 plane 
                   
                   
                   
                   
                   
                   
               
               
                   
               
               
                 Reference wavelength (d-line): 555 nm. 
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 14 
               
               
                   
               
               
                 Coefficients of the aspheric surfaces 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
            
               
                   
                 Surface 
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                   
                 1 
                 2 
                 4 
                 5 
                 6 
                 7 
                 8 
               
               
                   
               
               
                 k 
                   3.983741E−01 
                 −4.897919E+01 
                 −1.346812E+01 
                   1.709440E+00 
                   2.796516E+01 
                   1.348422E+01 
                   3.002689E+01 
               
               
                 A4 
                   2.913392E−03 
                 −1.075801E−03 
                 −4.722246E−03 
                 −2.157240E−02 
                 −1.142048E−02 
                 −1.289707E−02 
                 −1.813933E−02 
               
               
                 A6 
                   1.441858E−04 
                   3.517095E−03 
                 −1.071444E−03 
                 −1.504717E−04 
                 −2.380434E−03 
                 −2.113505E−03 
                 −1.073421E−03 
               
               
                 A8 
                   3.444720E−04 
                 −6.440188E−04 
                   5.560008E−04 
                   6.756521E−04 
                   1.308695E−04 
                   6.047950E−04 
                 −1.864017E−04 
               
               
                 A10 
                 −5.586964E−05 
                 −2.956724E−04 
                 −2.875384E−04 
                 −2.753827E−04 
                 −7.922573E−04 
                 −4.718839E−04 
                   2.914704E−05 
               
               
                 A12 
                 −2.288119E−05 
                   1.964145E−04 
                   5.202399E−05 
                 −3.828904E−05 
                   2.490353E−04 
                   1.789349E−04 
                 −3.549875E−06 
               
               
                 A14 
                   1.485701E−05 
                 −3.377318E−05 
                   3.415657E−07 
                   3.001792E−05 
                 −2.851243E−05 
                 −4.586750E−05 
                 −3.256825E−06 
               
               
                 A16 
                 −1.930238E−06 
                   3.169793E−07 
                 −1.357556E−07 
                 −1.415328E−07 
                   1.559500E−07 
                   7.552034E−06 
                   1.187434E−06 
               
               
                   
               
            
           
           
               
               
            
               
                   
                 Surface 
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                   
                 9 
                 10 
                 11 
                 12 
                 13 
                 14 
                 15 
               
               
                   
               
               
                 k 
                   1.878477E+00 
                 −4.254837E−01 
                 −5.629283E−01 
                 −1.475158E+00 
                   4.334642E+01 
                 −7.079531E−03 
                 −5.361072E+00 
               
               
                 A4 
                 −1.091857E−02 
                   2.799566E−02 
                   1.213832E−02 
                 −1.093232E−02 
                 −8.871208E−03 
                 −5.211838E−03 
                 −4.787415E−03 
               
               
                 A6 
                 −9.800727E−04 
                 −5.491994E−03 
                 −2.342425E−03 
                   1.697719E−03 
                   2.900021E−03 
                   1.558862E−03 
                   4.143097E−04 
               
               
                 A8 
                 −1.534843E−04 
                   1.122697E−03 
                   5.035552E−04 
                 −2.142729E−04 
                 −3.845059E−04 
                 −1.638382E−04 
                 −2.918764E−05 
               
               
                 A10 
                 −3.106815E−05 
                 −1.115266E−04 
                 −4.841164E−05 
                   1.249698E−05 
                   2.474663E−05 
                   9.868077E−06 
                   1.306532E−06 
               
               
                 A12 
                   1.443849E−05 
                   1.182262E−05 
                   3.361279E−06 
                 −3.643681E−07 
                 −8.481899E−07 
                 −3.373650E−07 
                 −3.618409E−08 
               
               
                 A14 
                 −2.111326E−06 
                 −8.161698E−07 
                 −1.486190E−07 
                   6.388407E−09 
                   1.491450E−08 
                   5.996697E−09 
                   5.531837E−10 
               
               
                 A16 
                   6.795226E−08 
                   5.681613E−08 
                   2.219835E−09 
                 −7.002687E−11 
                 −1.033092E−10 
                 −4.078697E−11 
                 −3.615103E−12 
               
               
                   
               
            
           
         
       
     
     An equation of the aspheric surfaces of the seventh embodiment is the same as that of the first embodiment, and the definitions are the same as well. 
     The exact parameters of the seventh embodiment based on Table 13 and Table 14 are listed in the following table: 
     
       
         
           
               
             
               
                   
               
               
                 Seventh embodiment (Reference wavelength: 555 nm) 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
               
            
               
                   
                 ETP1 
                 ETP2 
                 ETP3 
                 ETP4 
                 ETP5 
                 ETP6 
               
               
                   
                   
               
               
                   
                 0.451 
                 0.336 
                 0.608 
                 1.024 
                 1.122 
                 0.823 
               
               
                   
                   
               
            
           
           
               
               
               
               
               
               
               
            
               
                   
                 ETP7 
                 ETL 
                 EBL 
                 EIN 
                 EIR 
                 PIR 
               
               
                   
                   
               
               
                   
                 0.971 
                 9.848 
                 1.527 
                 8.321 
                 0.898 
                 1.000 
               
               
                   
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 EIN/ETL 
                 SETP/EIN 
                 EIR/PIR 
                 SETP 
                 STP 
                 SETP/STP 
               
               
                   
               
               
                 0.845 
                 0.641 
                 0.898 
                 5.336 
                 5.436 
                 0.982 
               
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 ETP1/TP1 
                 ETP2/TP2 
                 ETP3/TP3 
                 ETP4/TP4 
                 ETP5/TP5 
                 ETP6/TP6 
               
               
                   
               
               
                 0.773 
                 1.121 
                 0.826 
                 0.937 
                 1.082 
                 0.821 
               
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 ETP7/TP7 
                 BL 
                 EBL/BL 
                 SED 
                 SIN 
                 SED/SIN 
               
               
                   
               
               
                 1.421 
                 1.629 
                 0.9374 
                 2.986 
                 2.997 
                 0.996 
               
               
                   
               
            
           
           
               
               
               
               
               
               
               
            
               
                   
                 ED12 
                 ED23 
                 ED34 
                 ED45 
                 ED56 
                 ED67 
               
               
                   
                   
               
               
                   
                 0.212 
                 0.218 
                 0.647 
                 0.121 
                 0.756 
                 1.031 
               
               
                   
                   
               
            
           
           
               
               
               
               
               
               
            
               
                   
                   
                   
                 ED45/ 
                 ED56/ 
                 ED67/ 
               
               
                 ED12/IN12 
                 ED23/IN23 
                 ED34/IN34 
                 IN45 
                 IN56 
                 IN67 
               
               
                   
               
               
                 1.450 
                 0.468 
                 1.078 
                 0.395 
                 2.527 
                 0.874 
               
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 |f/f1| 
                 |f/f2| 
                 |f/f3| 
                 |f/f4| 
                 |f/f5| 
                 |f/f6| 
               
               
                   
               
               
                 0.4946 
                 0.0856 
                 0.4852 
                 0.4186 
                 0.1699 
                 0.8178 
               
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 |f/f7| 
                 ΣPPR 
                 ΣNPR 
                 ΣPPR/|ΣNPR| 
                 IN12/f 
                 IN67/f 
               
               
                   
               
               
                 1.3235 
                 2.2162 
                 1.5790 
                 1.4036 
                 0.0218 
                 0.1752 
               
               
                   
               
            
           
           
               
               
               
               
            
               
                 |f1/f2| 
                 |f2/f3| 
                 (TP1 + IN12)/TP2 
                 (TP7 + IN67)/TP6 
               
               
                   
               
               
                 0.1730 
                 5.6689 
                 2.4355 
                 1.8583 
               
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 HOS 
                 InTL 
                 HOS/HOI 
                 InS/HOS 
                 ODT % 
                 TDT % 
               
               
                   
               
               
                 10.0613 
                 8.4321 
                 1.3415 
                 0.9274 
                 1.9205 
                 1.0066 
               
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 HVT11 
                 HVT12 
                 HVT21 
                 HVT22 
                 HVT31 
                 HVT32 
               
               
                   
               
               
                 0.0000 
                 0.0000 
                 0.0000 
                 0.0000 
                 0.0000 
                 0.0000 
               
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 HVT61 
                 HVT62 
                 HVT71 
                 HVT72 
                 HVT72/HOI 
                 HVT72/HOS 
               
               
                   
               
               
                 2.7883 
                 0.0000 
                 0.0000 
                 3.5682 
                 0.4758 
                 0.3546 
               
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 MTFE0 
                 MTFE3 
                 MTFE7 
                 MTFQ0 
                 MTFQ3 
                 MTFQ7 
               
               
                   
               
               
                 0.86 
                 0.87 
                 0.8 
                 0.63 
                 0.67 
                 0.52 
               
               
                   
               
            
           
         
       
     
     The results of the equations of the seventh embodiment based on Table 13 and Table 14 are listed in the following table: 
     
       
         
           
               
             
               
                   
               
               
                 Values related to the inflection points of the seventh embodiment 
               
               
                 (Reference wavelength: 555 nm) 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                 HIF211 
                 1.0924 
                 HIF211/HOI 
                 0.1457 
                 SGI211 
                 0.1095 
                 |SGI211|/(|SGI211| + TP2) 
                 0.2673 
               
               
                 HIF521 
                 2.1002 
                 HIF521/HOI 
                 0.2800 
                 SGI521 
                 −0.7289 
                 |SGI521|/(|SGI521| + TP5) 
                 0.4126 
               
               
                 HIF611 
                 1.7227 
                 HIF611/HOI 
                 0.2297 
                 SGI611 
                 0.2145 
                 |SGI611|/(|SGI611| + TP6) 
                 0.1763 
               
               
                 HIF612 
                 3.9127 
                 HIF612/HOI 
                 0.5217 
                 SGI612 
                 0.0038 
                 |SGI612|/(|SGI612| + TP6) 
                 0.0038 
               
               
                 HIF621 
                 1.6536 
                 HIF621/HOI 
                 0.2205 
                 SGI621 
                 −0.0595 
                 |SGI621|/(|SGI621| + TP6) 
                 0.0560 
               
               
                 HIF622 
                 2.2525 
                 HIF622/HOI 
                 0.3003 
                 SGI622 
                 −0.0994 
                 |SGI622|/(|SGI622| + TP6) 
                 0.0902 
               
               
                 HIF623 
                 4.2291 
                 HIF623/HOI 
                 0.5639 
                 SGI623 
                 −0.6719 
                 |SGI623|/(|SGI623| + TP6) 
                 0.4013 
               
               
                 HIF721 
                 1.7490 
                 HIF721/HOI 
                 0.2332 
                 SGI721 
                 0.1590 
                 |SGI721|/(|SGI721| + TP7) 
                 0.1887 
               
               
                   
               
            
           
         
       
     
     [Eighth Embodiment] 
     As shown in  FIG. 8A  and  FIG. 8B , an optical image capturing system of the eighth embodiment of the present invention includes, along an optical axis from an object side to an image side, a first lens  810 , an aperture  800 , a second lens  820 , a third lens  830 , a fourth lens  840 , a fifth lens  850 , a sixth 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. 
     The first lens  810  has positive refractive power and is made of plastic. An object-side surface  812 , which faces the object side, is a convex aspheric surface, and an image-side surface  814 , which faces the image side, is a concave aspheric surface. 
     The second lens  820  has negative refractive power and is made of plastic. An object-side surface  822  thereof, which faces the object side, is a convex aspheric surface, and an image-side surface  824  thereof, which faces the image side, is a concave aspheric surface. The object-side surface  822  and the image-side surface  824  both have an inflection point. 
     The third lens  830  has positive refractive power and is made of plastic. An object-side surface  832 , which faces the object side, is a convex aspheric surface, and an image-side surface  834 , which faces the image side, is a convex aspheric surface. The object-side surface  832  has an inflection point. 
     The fourth lens  840  has positive refractive power and is made of plastic. An object-side surface  842 , which faces the object side, is a concave aspheric surface, and an image-side surface  844 , which faces the image side, is a convex aspheric surface. The object-side surface  842  and the image-side surface  844  both have an inflection point. 
     The fifth lens  850  has negative refractive power and is made of plastic. An object-side surface  852 , which faces the object side, is a concave aspheric surface, and an image-side surface  854 , which faces the image side, is a convex aspheric surface. The image-side surface  854  has an inflection point. 
     The sixth lens  860  has positive refractive power and is made of plastic. An object-side surface  862 , which faces the object side, is a convex surface, and an image-side surface  864 , which faces the image side, is a convex surface. The object-side surface  862  and the image-side surface  864  both have two inflection points. Whereby, the incident angle of each view field entering 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  882 , which faces the object side, is a concave surface, and an image-side surface  884 , which faces the image side, is a concave surface. The image-side surface  874  has an inflection point. It may help to shorten the back focal length to keep small in size. In addition, it may reduce an incident angle of the light of an off-axis field of view and correct the aberration of the off-axis field of view. 
     The infrared rays filter  880  is made of glass and between the seventh lens  870  and the image plane  890 . The infrared rays filter  880  gives no contribution to the focal length of the system. 
     The optical image capturing system of the eighth embodiment further satisfies ΣPP=58.8575 mm; and f1/ΣPP=0.2270, where ΣPP is a sum of the focal lengths of each positive lens. It is helpful to share the positive refractive power of one single lens to other positive lenses to avoid the significant aberration caused by the incident rays. 
     The optical image capturing system of the eighth embodiment further satisfies ΣNP=−151.0523 mm; and f7/ΣNP=0.0333, where ΣNP is a sum of the focal lengths of each negative lens. It is helpful to share the negative refractive power of one single lens to the other negative lens to avoid the significant aberration caused by the incident rays. 
     The parameters of the lenses of the eighth embodiment are listed in Table 15 and Table 16. 
     
       
         
           
               
             
               
                 TABLE 15 
               
             
            
               
                   
               
               
                 f = 6.7652 mm; f/HEP = 2.8; HAF = 47.4999 deg 
               
            
           
           
               
               
               
               
               
               
               
            
               
                   
                   
                   
                   
                   
                   
                 Focal 
               
               
                   
                 Radius of curvature 
                 Thickness 
                   
                 Refractive 
                 Abbe 
                 length 
               
               
                 Surface 
                 (mm) 
                 (mm) 
                 Material 
                 index 
                 number 
                 (mm) 
               
               
                   
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                 0 
                 Object 
                 plane 
                 infinity 
                   
                   
                   
                   
               
               
                 1 
                 1 st  lens 
                 3.971861976 
                 0.704 
                 plastic 
                 1.543 
                 56.50 
                 13.358 
               
               
                 2 
                   
                 8.198255892 
                 0.329 
                   
                   
                   
                   
               
               
                 3 
                 Aperture 
                 plane 
                 0.026 
                   
                   
                   
                   
               
               
                 4 
                 2 nd  lens 
                 5.77169029 
                 0.300 
                 plastic 
                 1.650 
                 21.40 
                 −44.180 
               
               
                 5 
                   
                 4.713442648 
                 0.215 
                   
                   
                   
                   
               
               
                 6 
                 3 rd  lens 
                 94.59884361 
                 0.616 
                 plastic 
                 1.543 
                 56.50 
                 11.105 
               
               
                 7 
                   
                 −6.447953968 
                 0.557 
                   
                   
                   
                   
               
               
                 8 
                 4 th  lens 
                 −8.179862942 
                 0.829 
                 plastic 
                 1.565 
                 58.00 
                 25.453 
               
               
                 9 
                   
                 −5.411402961 
                 0.433 
                   
                   
                   
                   
               
               
                 10 
                 5 th  lens 
                 −2.026486659 
                 0.924 
                 plastic 
                 1.650 
                 21.40 
                 −101.838 
               
               
                 11 
                   
                 −2.467389187 
                 0.312 
                   
                   
                   
                   
               
               
                 12 
                 6 th  lens 
                 5.633670908 
                 1.253 
                 plastic 
                 1.543 
                 56.50 
                 8.941 
               
               
                 13 
                   
                 −33.15343005 
                 1.113 
                   
                   
                   
                   
               
               
                 14 
                 7 th  lens 
                 −5.076660311 
                 0.722 
                 plastic 
                 1.607 
                 26.60 
                 −5.035 
               
               
                 15 
                   
                 8.230543784 
                 1.000 
                   
                   
                   
                   
               
               
                 16 
                 Infrared 
                 plane 
                 0.300 
                 BK_7 
                 1.517 
                 64.2 
                   
               
               
                   
                 rays 
                   
                   
                   
                   
                   
                   
               
               
                   
                 filter 
                   
                   
                   
                   
                   
                   
               
               
                 17 
                   
                 plane 
                 0.205 
                   
                   
                   
                   
               
               
                 18 
                 Image 
                 plane 
                 0.017 
                   
                   
                   
                   
               
               
                   
                 plane 
                   
                   
                   
                   
                   
                   
               
               
                   
               
               
                 Reference wavelength (d-line): 555 nm. 
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 16 
               
               
                   
               
               
                 Coefficients of the aspheric surfaces 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
            
               
                   
                 Surface 
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                   
                 1 
                 2 
                 4 
                 5 
                 6 
                 7 
                 8 
               
               
                   
               
               
                 k 
                   5.195598E−01 
                 −1.128183E+01 
                 −1.943087E+01 
                   3.467668E−01 
                 −5.000000E+01 
                   1.338720E+01 
                   1.761403E+01 
               
               
                 A4 
                   2.356299E−03 
                   2.397565E−03 
                 −1.680699E−02 
                 −2.546780E−02 
                 −7.060172E−03 
                 −1.007863E−02 
                 −2.355210E−02 
               
               
                 A6 
                   6.485149E−04 
                   1.229684E−03 
                 −2.729378E−03 
                 −3.136590E−03 
                 −2.003546E−03 
                 −1.218487E−03 
                 −9.785530E−04 
               
               
                 A8 
                   1.170764E−04 
                   2.918717E−04 
                 −2.459869E−04 
                   1.932658E−03 
                 −2.237902E−03 
                   7.543922E−04 
                 −1.852033E−04 
               
               
                 A10 
                   3.039274E−05 
                 −1.491091E−04 
                   5.676525E−04 
                 −1.058044E−03 
                   1.435439E−04 
                 −7.355860E−04 
                 −1.348843E−04 
               
               
                 A12 
                   6.643196E−07 
                 −4.266383E−05 
                 −7.384056E−05 
                   1.268094E−04 
                   4.255759E−04 
                   2.634268E−04 
                 −1.539980E−05 
               
               
                 A14 
                 −2.883111E−06 
                   9.237416E−05 
                 −1.409057E−05 
                   4.839477E−05 
                 −2.015694E−04 
                   2.011329E−05 
                   1.121679E−05 
               
               
                 A16 
                   1.624359E−06 
                 −2.281995E−05 
                 −1.202828E−05 
                   3.364385E−06 
                   1.861152E−05 
                 −3.268269E−06 
                   5.139585E−06 
               
               
                   
               
            
           
           
               
               
            
               
                   
                 Surface 
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                   
                 9 
                 10 
                 11 
                 12 
                 13 
                 14 
                 15 
               
               
                   
               
               
                 k 
                   4.494834E+00 
                 −2.599360E−01 
                 −5.817157E−01 
                 −1.432572E+00 
                   3.780652E+01 
                 −3.317069E−02 
                 −5.648669E+00 
               
               
                 A4 
                 −1.496778E−02 
                   2.840014E−02 
                   1.192087E−02 
                 −1.085707E−02 
                 −8.701398E−03 
                 −5.652365E−03 
                 −5.333227E−03 
               
               
                 A6 
                 −1.207485E−03 
                 −5.261084E−03 
                 −2.232665E−03 
                   1.702507E−03 
                   2.912311E−03 
                   1.558055E−03 
                   4.182781E−04 
               
               
                 A8 
                 −1.928552E−04 
                   1.084879E−03 
                   5.252541E−04 
                 −2.142161E−04 
                 −3.841236E−04 
                 −1.631492E−04 
                 −2.906249E−05 
               
               
                 A10 
                 −7.621215E−05 
                 −9.710755E−05 
                 −4.639259E−05 
                   1.251520E−05 
                   2.474808E−05 
                   9.896558E−06 
                   1.305194E−06 
               
               
                 A12 
                   1.195672E−05 
                   1.741965E−05 
                   3.509831E−06 
                 −3.632770E−07 
                 −8.486325E−07 
                 −3.366865E−07 
                 −3.626114E−08 
               
               
                 A14 
                 −8.617708E−07 
                   7.804099E−08 
                 −1.504508E−07 
                   6.388220E−09 
                   1.487244E−08 
                   5.983719E−09 
                   5.528456E−10 
               
               
                 A16 
                   2.229654E−07 
                 −1.196294E−08 
                 −2.297951E−09 
                 −7.540487E−11 
                 −1.059054E−10 
                 −4.339767E−11 
                 −3.536156E−12 
               
               
                   
               
            
           
         
       
     
     An equation of the aspheric surfaces of the eighth embodiment is the same as that of the first embodiment, and the definitions are the same as well. 
     The exact parameters of the eighth embodiment based on Table 15 and Table 16 are listed in the following table: 
     
       
         
           
               
             
               
                   
               
               
                 Eighth embodiment (Reference wavelength: 555 nm) 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
               
            
               
                   
                 ETP1 
                 ETP2 
                 ETP3 
                 ETP4 
                 ETP5 
                 ETP6 
               
               
                   
                   
               
               
                   
                 0.618 
                 0.328 
                 0.502 
                 0.804 
                 0.972 
                 1.131 
               
               
                   
                   
               
            
           
           
               
               
               
               
               
               
               
            
               
                   
                 ETP7 
                 ETL 
                 EBL 
                 EIN 
                 EIR 
                 PIR 
               
               
                   
                   
               
               
                   
                 0.916 
                 9.692 
                 1.457 
                 8.235 
                 0.934 
                 1.000 
               
               
                   
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 EIN/ETL 
                 SETP/EIN 
                 EIR/PIR 
                 SETP 
                 STP 
                 SETP/STP 
               
               
                   
               
               
                 0.850 
                 0.640 
                 0.934 
                 5.270 
                 5.348 
                 0.985 
               
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 ETP1/TP1 
                 ETP2/TP2 
                 ETP3/TP3 
                 ETP4/TP4 
                 ETP5/TP5 
                 ETP6/TP6 
               
               
                   
               
               
                 0.877 
                 1.092 
                 0.816 
                 0.969 
                 1.051 
                 0.903 
               
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 ETP7/TP7 
                 BL 
                 EBL/BL 
                 SED 
                 SIN 
                 SED/SIN 
               
               
                   
               
               
                 1.269 
                 1.523 
                 0.9567 
                 2.965 
                 2.985 
                 0.993 
               
               
                   
               
            
           
           
               
               
               
               
               
               
               
            
               
                   
                 ED12 
                 ED23 
                 ED34 
                 ED45 
                 ED56 
                 ED67 
               
               
                   
                   
               
               
                   
                 0.340 
                 0.113 
                 0.561 
                 0.292 
                 0.647 
                 1.012 
               
               
                   
                   
               
            
           
           
               
               
               
               
               
               
            
               
                   
                   
                   
                 ED45/ 
                 ED56/ 
                 ED67/ 
               
               
                 ED12/IN12 
                 ED23/IN23 
                 ED34/IN34 
                 IN45 
                 IN56 
                 IN67 
               
               
                   
               
               
                 0.958 
                 0.524 
                 1.007 
                 0.676 
                 2.069 
                 0.909 
               
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 |f/f1| 
                 |f/f2| 
                 |f/f3| 
                 |f/f4| 
                 |f/f5| 
                 |f/f6| 
               
               
                   
               
               
                 0.5065 
                 0.1531 
                 0.6092 
                 0.2658 
                 0.0664 
                 0.7566 
               
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 |f/f7| 
                 ΣPPR 
                 ΣNPR 
                 ΣPPR/|ΣNPR| 
                 IN12/f 
                 IN67/f 
               
               
                   
               
               
                 1.3438 
                 2.1381 
                 1.5633 
                 1.3676 
                 0.0525 
                 0.1645 
               
               
                   
               
            
           
           
               
               
               
               
            
               
                 |f1/f2| 
                 |f2/f3| 
                 (TP1 + IN12)/TP2 
                 (TP7 + IN67)/TP6 
               
               
                   
               
               
                 0.3024 
                 3.9784 
                 3.5329 
                 1.4635 
               
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 HOS 
                 InTL 
                 HOS/HOI 
                 InS/HOS 
                 ODT % 
                 TDT % 
               
               
                   
               
               
                 9.8561 
                 8.3336 
                 1.3142 
                 0.8951 
                 1.4318 
                 1.0977 
               
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 HVT11 
                 HVT12 
                 HVT21 
                 HVT22 
                 HVT31 
                 HVT32 
               
               
                   
               
               
                 0.0000 
                 0.0000 
                 0.0000 
                 0.0000 
                 0.5599 
                 0.0000 
               
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 HVT61 
                 HVT62 
                 HVT71 
                 HVT72 
                 HVT72/HOI 
                 HVT72/HOS 
               
               
                   
               
               
                 2.7508 
                 0.0000 
                 0.0000 
                 3.0221 
                 0.4029 
                 0.3066 
               
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 MTFE0 
                 MTFE3 
                 MTFE7 
                 MTFQ0 
                 MTFQ3 
                 MTFQ7 
               
               
                   
               
               
                 0.85 
                 0.86 
                 0.8 
                 0.63 
                 0.67 
                 0.53 
               
               
                   
               
            
           
         
       
     
     The results of the equations of the eighth 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: 555nm) 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                 HIF211 
                 0.7069 
                 HIF211/HOI 
                 0.0943 
                 SGI211 
                 0.0361 
                 |SGI211|/(|SGI211| + TP2) 
                 0.1074 
               
               
                 HIF221 
                 0.8103 
                 HIF221/HOI 
                 0.1080 
                 SGI221 
                 0.0587 
                 |SGI221|/(|SGI221| + TP2) 
                 0.1637 
               
               
                 HIF311 
                 0.3368 
                 HIF311/HOI 
                 0.0449 
                 SGI311 
                 0.0005 
                 |SGI311|/(|SGI311| + TP3) 
                 0.0008 
               
               
                 HIF521 
                 1.9895 
                 HIF521/HOI 
                 0.2653 
                 SGI521 
                 −0.7223 
                 |SGI521|/(|SGI521| + TP5) 
                 0.4387 
               
               
                 HIF611 
                 1.6840 
                 HIF611/HOI 
                 0.2245 
                 SGI611 
                 0.1891 
                 |SGI611|/(|SGI611| + TP6) 
                 0.1311 
               
               
                 HIF612 
                 3.9045 
                 HIF612/HOI 
                 0.5206 
                 SGI612 
                 −0.0249 
                 |SGI612|/(|SGI612| + TP6) 
                 0.0195 
               
               
                 HIF621 
                 1.6440 
                 HIF621/HOI 
                 0.2192 
                 SGI621 
                 −0.0651 
                 |SGI621|/(|SGI621| + TP6) 
                 0.0494 
               
               
                 HIF622 
                 2.3170 
                 HIF622/HOI 
                 0.3089 
                 SGI622 
                 −0.1126 
                 |SGI622|/(|SGI622| + TP6) 
                 0.0824 
               
               
                 HIF721 
                 1.5156 
                 HIF721/HOI 
                 0.2021 
                 SGI721 
                 0.1106 
                 |SGI721|/(|SGI721| + TP7) 
                 0.1329 
               
               
                   
               
            
           
         
       
     
     It must be pointed out that the embodiments described above are only some embodiments of the present invention. All equivalent structures which employ the concepts disclosed in this specification and the appended claims should fall within the scope of the present invention.