Patent Publication Number: US-2023159022-A1

Title: Movable carrier auxiliary system and parking auxiliarymethod thereof

Description:
CROSS-REFERENCE TO RELATED APPLICATIONS 
     This application is a Divisional Patent Application of U.S. patent application Ser. No. 16/824,214, filed Mar. 19, 2020, which claims foreign priority from Taiwanese Patent Application No. 108119743, filed Jun. 6, 2019, the complete disclosures of which are incorporated herein by reference. 
    
    
     BACKGROUND OF THE INVENTION 
     Technical Field 
     The present invention relates to a movable carrier auxiliary system, and more particularly to an auxiliary system capable of assisting vehicle parking by identifying environmental images. 
     Description of Related Art 
     With frequent commercial activities and the rapid expansion of transportation logistics, people are more dependent on the mobile vehicle such as car or motorcycle. At the same time, drivers are paying more and more attention to the protection of their lives and property when driving, and therefore, in addition to the performance and the comfort of the mobile vehicle, it is also considered whether the mobile vehicle to be purchased provides sufficient safety guards or auxiliary devices. Under this trend, in order to increase the safety of vehicles, automobile manufacturers or vehicle equipment design manufacturers have developed various driving safety protection devices or auxiliary devices, such as rearview mirrors, driving recorders, a panoramic image instant displaying of blind vision areas, a global positioning system that records the driving path at any time, and etc. 
     In addition, with the rapid development of digital cameras and computer visions in daily life, the digital cameras have been applied to driving assistance systems, hoping to reduce the accident rate of traffic accidents through the application of artificial intelligence. 
     Typically, during a parking process, the driver observes a condition outside the vehicle via rear-view mirrors on sides of the vehicle or inside of the vehicle, thereby to determine a relative position of the vehicle and a parking space so as to park the vehicle. However, the condition outside the vehicle observed in the rearview mirrors still has many blind spots that cannot be seen. In addition, the front pillar, the center pillar, the rear pillar and other structures of the vehicle will also block the driver&#39;s line of sight, resulting in blind spots. For the problem of blind spots, the driver can only park the vehicle by controlling the vehicle based on experience, so that there are some drivers having difficulty in parking the vehicle due to lack of experience, inattention, or external environmental factors (such as weather and brightness), which makes it difficult for the driver to park the vehicle in the parking space, and may even clash other vehicles. 
     BRIEF SUMMARY OF THE INVENTION 
     In view of the above, the purpose of the present invention is to provide a movable carrier auxiliary system and a parking auxiliary method thereof, which could improve a convenience and a safety when parking a movable carrier. 
     The aspect of embodiment of the present disclosure directs to a movable carrier auxiliary system, which includes an environmental detecting device, a control device, a state detecting device, and a parking auxiliary device, wherein the environmental detecting device includes at least one image capturing module and an operation module. The at least one image capturing module is disposed in the movable carrier for capturing an environmental image around the movable carrier. The operation module is electrically connected to the at least one image capturing module and determines whether there is a parking space in the environmental image or not, wherein the parking space has a capacity greater than a volume of the movable carrier, and a length, a width, and a height of the parking space is greater than a length, a width, and a height of the movable carrier. The control device is disposed in the movable carrier for being manipulated by a driver to move the movable carrier. The state detecting device is disposed in the movable carrier for detecting a movement state of the movable carrier. The parking auxiliary device is disposed in the movable carrier and is electrically connected to the operation module of the environmental detecting device and the state detecting device, so that when the environmental image has the parking space, the parking auxiliary device generates a prompting message based on a distance between the movable carrier and the parking space, a relative position of the movable carrier and the parking space, and the movement state of the movable carrier, thereby the driver could manipulate the control device based on the prompting message to move the movable carrier to the parking space. 
     The image capturing module includes a lens group; the lens group includes at least two lenses having refractive power and satisfies: 1.0≤f/HEP≤10.0; 0 deg&lt;HAF≤150 deg; and 0.9≤2(ARE/HEP)≤2.0, wherein f is a focal length of the lens group; HEP is an entrance pupil diameter of the lens group; HAF is half a maximum visual angle of the lens group; ARE is a profile curve length measured from a start point where an optical axis of the at least one lens group passes through any surface of one of the at least two lenses, along a surface profile of the corresponding lens, and finally to a coordinate point of a perpendicular distance where is a half of the entrance pupil diameter away from the optical axis. 
     The lens group uses structural size design and combination of refractive powers, convex and concave surfaces of at least two 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 reduce the size and increase the quantity of incoming light of the optical image capturing system, thereby the optical image capturing system could have a better amount of light entering therein and could improve imaging total pixels and imaging quality for image formation. 
     In an embodiment, the lens group satisfies: 0.9≤ARS/EHD≤2.0, wherein for any surface of any lens, ARS is a profile curve length measured from a start point where the optical axis passes therethrough, along a surface profile thereof, and finally to an end point of a maximum effective radius thereof; EHD is a maximum effective radius thereof. 
     In an embodiment, the lens group further satisfies: PLTA≤100 μm; PSTA≤100 μm; NLTA≤100 μm; NSTA≤100 μm; SLTA≤100 μm; SSTA≤100 μm; and |TDT|&lt;250%, wherein HOI is a maximum imaging height for image formation perpendicular to the optical axis on an image plane of the image capturing module; PLTA is a transverse aberration at 0.7 HOI in a positive direction of a tangential ray fan aberration of the image capturing module after the longest operation wavelength passing through an edge of the entrance pupil; PSTA is a transverse aberration at 0.7 HOI in the positive direction of the tangential ray fan aberration of the image capturing module after the shortest operation wavelength passing through the edge of the entrance pupil; NLTA is a transverse aberration at 0.7 HOI in a negative direction of the tangential ray fan aberration of the image capturing module after the longest operation wavelength passing through the edge of the entrance pupil; NSTA is a transverse aberration at 0.7 HOI in the negative direction of the tangential ray fan aberration of the image capturing module after the shortest operation wavelength passing through the edge of the entrance pupil; SLTA is a transverse aberration at 0.7 HOI of a sagittal ray fan aberration of the image capturing module after the longest operation wavelength passing through the edge of the entrance pupil; SSTA is a transverse aberration at 0.7 HOI of the sagittal ray fan aberration of the image capturing module after the shortest operation wavelength passing through the edge of the entrance pupil; and TDT is a TV distortion of the image capturing module upon image formation. 
     In an embodiment, the lens group includes four lenses having refractive power, which is constituted by a first lens, a second lens, a third lens, and a fourth lens in order along the optical axis from an object side to an image side; and the lens group satisfies: 0.1≤InTL/HOS≤0.95; wherein HOS is a distance in parallel with the optical axis between an object-side surface of the first lens and an image plane of the image capturing module; InTL is a distance in parallel with the optical axis from the object-side surface of the first lens to an image-side surface of the fourth lens. 
     In an embodiment, the lens group includes five lenses having refractive power, which is constituted by a first lens, a second lens, a third lens, a fourth lens, and a fifth lens in order along the optical axis from an object side to an image side; and the lens group satisfies: 0.1≤InTL/HOS≤0.95; wherein HOS is a distance in parallel with the optical axis between an object-side surface of the first lens and an image plane of the image capturing module; InTL is a distance in parallel with the optical axis from the object-side surface of the first lens to an image-side surface of the fifth lens. 
     In an embodiment, the lens group includes six lenses having refractive power, which is constituted by a first lens, a second lens, a third lens, a fourth lens, a fifth lens, and a sixth lens in order along the optical axis from an object side to an image side; and the lens group satisfies: 0.1≤InTL/HOS≤0.95; wherein HOS is a distance in parallel with the optical axis between an object-side surface of the first lens and an image plane of the image capturing module; InTL is a distance in parallel with the optical axis from the object-side surface of the first lens to an image-side surface of the sixth lens. 
     In an embodiment, the lens group includes seven lenses having refractive power, which is constituted by a first lens, a second lens, a third lens, a fourth lens, a fifth lens, a sixth lens, and a seventh lens in order along the optical axis from an object side to an image side; and the lens group satisfies: 0.1≤InTL/HOS≤0.95; wherein HOS is a distance in parallel with the optical axis between an object-side surface of the first lens and an image plane of the image capturing module; InTL is a distance in parallel with the optical axis from the object-side surface of the first lens to an image-side surface of the seventh lens. 
     In an embodiment, the lens group further includes an aperture, and the aperture satisfies: 0.2≤InS/HOS≤1.1; wherein HOS is a distance in parallel with the optical axis between an object-side surface of the first lens and an image plane of the at least one lens group; InS is a distance on the optical axis between the aperture and an image plane of the image capturing module. 
     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 (i.e., a distance between an object-side surface of the first lens and an image plane on an optical axis) is denoted by HOS. A distance from the object-side surface of the first lens to the image-side surface of the seventh lens is denoted by InTL. A distance from the first lens to the second lens is denoted by IN12 (for instance). A central thickness of the first lens of the optical image capturing system on the optical axis is denoted by TP1 (for instance). 
     The lens parameter related to a material in the lens: 
     An Abbe number of the first lens in the optical image capturing system is denoted by NA1 (for instance). A refractive index of the first lens is denoted by Nd 1  (for 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 radius (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 optical image capturing system passing the very edge of the entrance pupil. For example, the maximum effective radius of the object-side surface of the first lens is denoted by EHD 11 , the maximum effective radius of the image-side surface of the first lens is denoted by EHD 12 , the maximum effective radius of the object-side surface of the second lens is denoted by EHD 21 , the maximum effective radius of the image-side surface of the second lens is denoted by EHD 22 , and so on. 
     The lens parameter related to an arc length of the shape of a surface and a surface profile: 
     For any surface of any lens, a profile curve length of the maximum effective radius is, by definition, measured from a start point where the optical axis of the belonging optical image capturing system passes through the surface of the lens, along a surface profile of the lens, and finally to an end point of the maximum effective radius thereof. In other words, the curve length between the aforementioned start and end points is the profile curve length of the maximum effective radius, which is denoted by ARS. For example, the profile curve length of the maximum effective radius of the object-side surface of the first lens is denoted by ARS 11 , the profile curve length of the maximum effective radius of the image-side surface of the first lens is denoted by ARS 12 , the profile curve length of the maximum effective radius of the object-side surface of the second lens is denoted by ARS 21 , the profile curve length of the maximum effective radius of the image-side surface of the second lens is denoted by ARS 22 , and so on. 
     For any surface of any lens, a profile curve length of half the entrance pupil diameter (HEP) is, by definition, measured from a start point where the optical axis of the belonging optical image capturing system passes through the surface of the lens, along a surface profile of the lens, and finally to a coordinate point of a perpendicular distance where is half the entrance pupil diameter away from the optical axis. In other words, the curve length between the aforementioned stat point and the coordinate point is the profile curve length of half the entrance pupil diameter (HEP), and is denoted by ARE. For example, the profile curve length of half the entrance pupil diameter (HEP) of the object-side surface of the first lens is denoted by ARE 11 , the profile curve length of half the entrance pupil diameter (HEP) of the image-side surface of the first lens is denoted by ARE 12 , the profile curve length of half the entrance pupil diameter (HEP) of the object-side surface of the second lens is denoted by ARE 21 , the profile curve length of half the entrance pupil diameter (HEP) of the image-side surface of the second lens is denoted by ARE 22 , and so on. 
     The lens parameter related to a depth of the lens shape: 
     A displacement from a point on the object-side surface of the sixth lens, which is passed through by the optical axis, to a point on the optical axis, where a projection of the maximum effective semi diameter of the object-side surface of the sixth lens ends, is denoted by InRS61 (the depth of the maximum effective semi diameter). A displacement from a point on the image-side surface of the sixth lens, which is passed through by the optical axis, to a point on the optical axis, where a projection of the maximum effective semi diameter of the image-side surface of the seventh lens ends, is denoted by InRS62 (the depth of the maximum effective semi diameter). The depth of the maximum effective semi diameter (sinkage) on the object-side surface or the image-side surface of any other lens is denoted in the same manner. 
     The lens parameter related to the lens shape: 
     A critical point C is a tangent point on a surface of a specific lens, and the tangent point is tangent to a plane perpendicular to the optical axis and the tangent point cannot be a crossover point on the optical axis. Following the above description, a distance perpendicular to the optical axis between a critical point C51 on the object-side surface of the fifth lens and the optical axis is HVT51 (for instance), and a distance perpendicular to the optical axis between a critical point C52 on the image-side surface of the fifth lens and the optical axis is HVT52 (for instance). A distance perpendicular to the optical axis between a critical point C61 on the object-side surface of the sixth lens and the optical axis is HVT61 (for instance), and a distance perpendicular to the optical axis between a critical point C62 on the image-side surface of the sixth lens and the optical axis is HVT62 (for instance). A distance perpendicular to the optical axis between a critical point on the object-side or image-side surface of other lenses is denoted in the same manner. 
     The object-side surface of the seventh lens has one inflection point IF711 which is nearest to the optical axis, and the sinkage value of the inflection point IF711 is denoted by SGI711 (for instance). A distance perpendicular to the optical axis between the inflection point IF711 and the optical axis is HIF711 (for instance). The image-side surface of the seventh lens has one inflection point IF721 which is nearest to the optical axis, and the sinkage value of the inflection point IF721 is denoted by SGI721 (for instance). A distance perpendicular to the optical axis between the inflection point IF721 and the optical axis is HIF721 (for instance). 
     The object-side surface of the seventh lens has one inflection point IF712 which is the second nearest to the optical axis, and the sinkage value of the inflection point IF712 is denoted by SGI712 (for instance). A distance perpendicular to the optical axis between the inflection point IF712 and the optical axis is HIF712 (for instance). The image-side surface of the seventh lens has one inflection point IF722 which is the second nearest to the optical axis, and the sinkage value of the inflection point IF722 is denoted by SGI722 (for instance). A distance perpendicular to the optical axis between the inflection point IF722 and the optical axis is HIF722 (for instance). 
     The object-side surface of the seventh lens has one inflection point IF713 which is the third nearest to the optical axis, and the sinkage value of the inflection point IF713 is denoted by SGI713 (for instance). A distance perpendicular to the optical axis between the inflection point IF713 and the optical axis is HIF713 (for instance). The image-side surface of the seventh lens has one inflection point IF723 which is the third nearest to the optical axis, and the sinkage value of the inflection point IF723 is denoted by SGI723 (for instance). A distance perpendicular to the optical axis between the inflection point IF723 and the optical axis is HIF723 (for instance). 
     The object-side surface of the seventh lens has one inflection point IF714 which is the fourth nearest to the optical axis, and the sinkage value of the inflection point IF714 is denoted by SGI714 (for instance). A distance perpendicular to the optical axis between the inflection point IF714 and the optical axis is HIF714 (for instance). The image-side surface of the seventh lens has one inflection point IF724 which is the fourth nearest to the optical axis, and the sinkage value of the inflection point IF724 is denoted by SGI724 (for instance). A distance perpendicular to the optical axis between the inflection point IF724 and the optical axis is HIF724 (for 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. 
     The length of the contour curve of any surface of a single lens in the range of the maximum effective radius affects the surface correction aberration and the optical path difference between the fields of view. The longer the profile curve length, the better the ability to correct the aberration, but at the same time It will increase the difficulty in manufacturing, so it is necessary to control the length of the profile curve of any surface of a single lens within the maximum effective radius, in particular to control the profile length (ARS) and the surface within the maximum effective radius of the surface. The proportional relationship (ARS/TP) between the thicknesses (TP) of the lens on the optical axis. For example, the length of the contour curve of the maximum effective radius of the side surface of the first lens object is represented by ARS 11 , and the thickness of the first lens on the optical axis is TP1, and the ratio between the two is ARS 11 /TP1, and the maximum effective radius of the side of the first lens image side. The length of the contour curve is represented by ARS 12 , and the ratio between it and TP1 is ARS 12 /TP1. The length of the contour curve of the maximum effective radius of the side of the second lens object is represented by ARS 21 , the thickness of the second lens on the optical axis is TP2, the ratio between the two is ARS 21 /TP2, and the contour of the maximum effective radius of the side of the second lens image The length of the curve is represented by ARS 22 , and the ratio between it and TP2 is ARS 22 /TP2. The proportional relationship between the length of the profile of the maximum effective radius of any surface of the remaining lenses in the optical imaging system and the thickness (TP) of the lens on the optical axis to which the surface belongs, and so on. 
     The optical image capturing system has a maximum image height HOI on the image plane vertical to the optical axis. A transverse aberration at 0.7 HOI in the positive direction of the tangential ray fan aberration after the longest operation wavelength passing through the edge of the entrance pupil is denoted by PLTA; a transverse aberration at 0.7 HOI in the positive direction of the tangential ray fan aberration after the shortest operation wavelength passing through the edge of the entrance pupil is denoted by PSTA; a transverse aberration at 0.7 HOI in the negative direction of the tangential ray fan aberration after the longest operation wavelength passing through the edge of the entrance pupil is denoted by NLTA; a transverse aberration at 0.7 HOI in the negative direction of the tangential ray fan aberration after the shortest operation wavelength passing through the edge of the entrance pupil is denoted by NSTA; a transverse aberration at 0.7 HOI of the sagittal ray fan aberration after the longest operation wavelength passing through the edge of the entrance pupil is denoted by SLTA; a transverse aberration at 0.7 HOI of the sagittal ray fan aberration after the shortest operation wavelength passing through the edge of the entrance pupil is denoted by SSTA. 
     For any surface of any lens, the profile curve length within a half the entrance pupil diameter (HEP) affects the ability of the surface to correct aberration and differences between optical paths of light in different fields of view. With longer profile curve length, the ability to correct aberration is better. However, the difficulty of manufacturing increases as well. Therefore, the profile curve length within a half the entrance pupil diameter (HEP) of any surface of any lens has to be controlled. The ratio between the profile curve length (ARE) within a half the entrance pupil diameter (HEP) of one surface and the thickness (TP) of the lens, which the surface belonged to, on the optical axis (i.e., ARE/TP) has to be particularly controlled. For example, the profile curve length of a half the entrance pupil diameter (HEP) of the object-side surface of the first lens is denoted by ARE 11 , the thickness of the first lens on the optical axis is TP1, and the ratio between these two parameters is ARE 11 /TP1; the profile curve length of a half the entrance pupil diameter (HEP) of the image-side surface of the first lens is denoted by ARE 12 , and the ratio between ARE 12  and TP1 is ARE 12 /TP1. The profile curve length of a half the entrance pupil diameter (HEP) of the object-side surface of the second lens is denoted by ARE 21 , the thickness of the second lens on the optical axis is TP2, and the ratio between these two parameters is ARE 21 /TP2; the profile curve length of a half the entrance pupil diameter (HEP) of the image-side surface of the second lens is denoted by ARE 22 , and the ratio between ARE 22  and TP2 is ARE 22 /TP2. For any surface of other lenses in the optical image capturing system, the ratio between the profile curve length of half the entrance pupil diameter (HEP) thereof and the thickness of the lens which the surface belonged to is denoted in the same manner. 
     The aspect of embodiment of the present disclosure further directs to a parking auxiliary method of a movable carrier auxiliary system, comprising following steps: 
     A. capture an environmental image around the movable carrier with the image capturing module; 
     B. receive the environmental image with the operation module, and analyze whether the environmental image has a space with a capacity greater than a volume of the movable carrier, and a length, a width, and a height of the space is greater than a length, a width, and a height of the movable carrier; if there is the space with the capacity greater than the volume of the movable carrier in the environmental image, and the length, the width, and the height of the space is greater than the length, the width, and the height of the movable carrier, the operation module determines the space is the parking space; 
     C. determine a distance between the parking space and the movable carrier and a relative position of the movable carrier and the parking space with the operation module based on the environmental image; 
     D. detect a movement state of the movable carrier with the state detecting device; and 
     E. generate the prompting message with the parking auxiliary device based on the distance between the movable carrier and the parking space, the relative position of the movable carrier and the parking space, and the movement state of the movable carrier which are obtained in step C, so that the driver manipulate the control device based on the prompting message to move the movable carrier to the parking space. 
     With the movable carrier auxiliary system and the parking auxiliary method thereof which are described above, the driver could effectively determine the environmental image has the parking space and generate the prompting message to prompt the driver to control the control device, improving the convenience and the safety when parking the movable carrier. 
    
    
     
       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.  1 A  is a block diagram showing a movable carrier auxiliary system according to a first system embodiment of the present invention; 
         FIG.  1 B  is a schematic view showing the state detecting device according to the first system embodiment of the present invention; 
         FIG.  1 C  is a schematic perspective view showing the movable carrier and the environment around the movable carrier according to the first system embodiment of the present invention; 
         FIG.  1 D  is a schematic perspective view showing the movable carrier and the environment around the movable carrier according to the first system embodiment of the present invention; 
         FIG.  1 E  is a schematic perspective view showing a vehicle electronic rear-view mirror according to the first system embodiment of the present invention; 
         FIG.  1 F  is a schematic section view taken along the short side of the displaying device according to the first system embodiment of the present invention; 
         FIG.  1 G  is a flowchart of the parking auxiliary method of the movable carrier auxiliary system according to the first system embodiment of the present invention; 
         FIG.  1 H  is a schematic perspective view showing the movable carrier and the environment around the movable carrier according to the first system embodiment of the present invention; 
         FIG.  1 I  is a schematic perspective view showing the movable carrier and the environment around the movable carrier according to the first system embodiment of the present invention; 
         FIG.  1 J  is a schematic perspective view showing the movable carrier and the environment around the movable carrier according to the first system embodiment of the present invention; 
         FIG.  1 K  is a schematic perspective view showing the movable carrier and the environment around the movable carrier according to the first system embodiment of the present invention; 
         FIG.  1 L  is a schematic perspective view showing the movable carrier and the environment around the movable carrier according to the first system embodiment of the present invention; 
         FIG.  1 M  is a schematic perspective view showing the movable carrier and the environment around the movable carrier according to a second system embodiment of the present invention; 
         FIG.  1 N  is a block diagram showing the movable carrier and the environment around the movable carrier according to the second system embodiment of the present invention; 
         FIG.  2 A  is a schematic diagram showing a first optical embodiment of the present invention; 
         FIG.  2 B  shows curve diagrams of longitudinal spherical aberration, astigmatic field, and optical distortion of the optical image capturing system according to the first optical embodiment of the present invention in order from left to right; 
         FIG.  3 A  is a schematic diagram showing a second optical embodiment of the present invention; 
         FIG.  3 B  shows curve diagrams of longitudinal spherical aberration, astigmatic field, and optical distortion of the optical image capturing system according to the second optical embodiment of the present application in order from left to right; 
         FIG.  4 A  is a schematic diagram showing a third optical embodiment of the present invention; 
         FIG.  4 B  shows curve diagrams of longitudinal spherical aberration, astigmatic field, and optical distortion of the optical image capturing system according to the third optical embodiment of the present application in order from left to right; 
         FIG.  5 A  is a schematic diagram showing a fourth optical embodiment of the present invention; 
         FIG.  5 B  shows curve diagrams of longitudinal spherical aberration, astigmatic field, and optical distortion of the optical image capturing system according to the fourth optical embodiment of the present application in order from left to right; 
         FIG.  6 A  is a schematic diagram showing a fifth optical embodiment of the present invention; 
         FIG.  6 B  shows curve diagrams of longitudinal spherical aberration, astigmatic field, and optical distortion of the optical image capturing system according to the fifth optical embodiment of the present application in order from left to right; 
         FIG.  7 A  is a schematic diagram showing a sixth optical embodiment of the present invention; and 
         FIG.  7 B  shows curve diagrams of longitudinal spherical aberration, astigmatic field, and optical distortion of the optical image capturing system according to the sixth optical embodiment of the present application in order from left to right. 
     
    
    
     DETAILED DESCRIPTION OF THE INVENTION 
     A movable carrier auxiliary system of the present invention mainly includes a system design and an optical design, wherein system embodiments will be described first. 
     Take  FIG.  1 A  and  FIG.  1 B  as an example to illustrate a schematic view of a movable carrier auxiliary system  0001  according to a first system embodiment of the present invention, wherein the movable carrier auxiliary system  0001  includes an environmental detecting device  0010 , a control device  0020 , a state detecting device  0030 , and a parking auxiliary device  0040 . 
     The environmental detecting device  0010  includes an image capturing module  0011  and an operation module  0013 . As shown in  FIG.  1 C , the image capturing module  0011  is disposed in the movable carrier  0000  and is adapted to capture an environmental image around the movable carrier  0000 . In the current embodiment, the image capturing module  0011  includes a lens group and an image sensing component, wherein the lens group includes at least two lenses having refractive power for imaging to the image sensing component to generate the environmental image. The conditions of the lens group will be described in the optical embodiments. Referring to  FIG.  1 C , the image capturing module  0011  is disposed on a right side of the movable carrier  0000  as an example, wherein the right side could be a right rear-view mirror. In an embodiment, the image capturing module  0011  could be disposed on a left side of the movable carrier  0000 , for example, wherein the left side could be a left rear-view mirror. 
     In the current embodiment, the environmental detecting device  0010  further includes a luminance sensor  0012  electrically connected to the image capturing module  0011  for detecting the luminance on at least a direction in which the image capturing module  0011  captures the image. When the luminance measured by the luminance sensor  0012  is greater than an upper threshold, the image capturing module  0011  captures the environmental image in a way that reduces amount of light entering. When the luminance measured by the luminance sensor  0012  is less than a lower threshold, the image capturing module  0011  captures the environmental image in a way that increases the amount of light entering. In this way, an environmental image with appropriate luminance could be obtained, avoiding overexposure or underexposure. 
     The operation module  0013  is electrically connected to the image capturing module  0011  for receiving the environmental image and determines whether the environmental image has a parking space  000 A or not, wherein a capacity of the parking space  000 A is greater than a volume of the movable carrier  0000 , and a length, a width, and a height of the parking space  000 A is greater than a length, a width, and a height of the movable carrier  0000 . More specifically, the operation module  0013  stores data of the length, the width, and the height of the movable carrier  0000  as a benchmark for determining the parking space  000 A. The operation module  0013  determines a distance between the movable carrier  0000  and the parking space  000 A and a relative position of the movable carrier  0000  and the parking space  000 A via the environmental image. 
     In practice, the image capturing module  0011  could include two image capturing modules  0011 , wherein depth of fields of the environmental images captured by the two image capturing modules  0011  are different. The operation module  0013  is electrically connected to the image capturing module  0011  determines whether there is a parking space  000 A or not and determines the distance between the movable carrier  0000  and the parking space  000 A and the relative position of the movable carrier  0000  and the parking space  000 A via a three-dimensional environmental image formed by the environmental images captured by the two image capturing modules  0011 . 
     The control device  0020  is disposed in the movable carrier  0000  for being manipulated by a driver to move the movable carrier  0000 , and includes a steering wheel  0021 , a gear shift module  0022 , a driving pedal  0023 , and a braking pedal  0024 . 
     The state detecting device  0030  is disposed in the movable carrier  0000  for detecting a movement state of the movable carrier  0000 . Referring to  FIG.  1 B , the state detecting device  0030  at least includes a speed sensor  0031  for detecting a speed of the movable carrier  0000 . The movement state at least includes the speed of the movable carrier  0000 . The state detecting device  0030  could further include at least one of a steering angle sensor  0032  and an inertial sensor  0033 , wherein the steering angle sensor  0032  is adapted to detect a steering angle of the movable carrier  0000 , and the inertial sensor  0033  is adapted to detect an acceleration, an inclination angle, or a yaw rate of the movable carrier  0000 . The movement state could include a detecting result of at least one of the steering angle sensor  0032  and the inertial sensor  0033 . 
     The parking auxiliary device  0040  is disposed in the movable carrier  0000  and is electrically connected to the operation module  0013  of the environmental detecting device  0010 , the state detecting device  0030 , and the control device  0020 . When the environmental image has the parking space  000 A, the parking auxiliary device  0040  generates a prompting message based on the distance between the movable carrier  0000  and the parking space  000 A, the relative position of the movable carrier  0000  and the parking space  000 A, and the movement state of the movable carrier  0000 , so that the driver could control the control device  0020  to move the movable carrier  0000  to the parking space  000 A based on the prompting message. In the current embodiment, the parking auxiliary device  0040  generates the prompting message based on the distance between the movable carrier  0000  and the parking space  000 A, the relative position of the movable carrier  0000  and the parking space  000 A, and the speed, the steering angle, the acceleration, the inclination angle, and the yaw rate of the movable carrier  0000 . 
     The parking auxiliary device  0040  generates the prompting message which corresponds to a steering direction and a steering margin, and corresponds to a gear position of the gear shift module  0022 , and corresponds to whether the driving pedal  0023  is pedaled or not, and corresponds to whether the braking pedal  0024  is pedaled or not, so that the driver could control the steering wheel  0021 , the gear shift module  0022 , the driving pedal  0023 , and the braking pedal  0024  based on the prompting message to move the movable carrier  0000  to the parking space  000 A. 
     In an embodiment, the parking auxiliary device  0040  could automatically control the steering wheel  0021  to rotate, and could generates the prompting message which corresponds to the gear position of the gear shift module  0022 , and corresponds to whether the driving pedal  0023  is pedaled or not, and corresponds to whether the braking pedal  0024  is pedaled or not. In this way, the driver could park the movable carrier  0000  without controlling the steering wheel  0021 . 
     In an embodiment, the parking auxiliary device  0040  could automatically control the steering wheel  0021  to rotate, and could automatically control the operations of the driving pedal  0023  and the braking pedal  0024 , and could generates the prompting message which corresponds to the gear position of the gear shift module  0022 . In this way, all the driver has to do during the parking process is to control the gear shift module  0022  to be a forward gear or a reverse gear. 
     In order to increase the safety during the parking process, when the parking auxiliary device  0040  determines that a movement speed of the movable carrier  0000  measured by the speed sensor  031  of the state detecting device  0030  is less than or equal to a starting speed, the parking auxiliary device  0040  generates the prompting message. When the movement speed of the movable carrier  0000  measured by the speed sensor  031  is greater than the starting speed, the parking auxiliary device  0040  does not generate the prompting message, thereby to prevent the driver from not having sufficient time to react. 
     In the current embodiment, the operation module  0013  could further determine whether the environmental image has an obstruction  000 B located between the movable carrier  0000  and the parking space  000 A. The parking auxiliary device  0040  further includes a warning module  0041 , wherein when the driver controls the control device  0020  based on the prompting message and the environmental image has the obstruction  000 B located between the movable carrier  0000  and the parking space  000 A (as shown in  FIG.  1 D ), the warning module  0041  generates a warning message. The warning module  0041  at least includes one of a voice playback member  004   a , a light generating member  004   b , and an image displaying member  004   c , thereby to present the warning message in forms of sounds, lights, or both of sounds and lights, or displaying an image or a text, or both of the image and the text. 
     In an embodiment, the parking auxiliary device  0040  at least includes the voice playback member  004   a , wherein the warning message is presented by playing a corresponding voice of the warning message via the voice playback member  004   a.    
     In addition to determining the parking space  000 A via the environmental image, the environmental detecting device  0010  further includes a detection wave transceiver module  0014  electrically connected to the operation module  0013 . The detection wave transceiver module  0014  sends a detection wave in at least a direction which is not a traveling direction of the movable carrier  0000  (e.g. a rightward direction of the movable carrier  0000 ), and receives a reflection detection wave of the detection wave, wherein the detection wave could be ultrasonic wave, millimeter wave radar, lidar, infrared light, laser, or a combination of the foregoing. The operation module  0013  further determines whether the environmental image has the parking space  000 A or not via the reflection detection wave and the environmental image, thereby to determine a correctness of the parking space  000 A via the environmental image and the reflection detection wave. 
     Additionally, the detection wave transceiver module  0014  could also send a detection wave in a traveling direction of the movable carrier  0000  (e.g. a frontward or a backward direction of the movable carrier  0000 ), and receives a reflection detection wave of the detection wave. The operation module  0013  determines the distance between the movable carrier  0000  and the parking space  000 A and the relative position of the movable carrier  0000  and the parking space  000 A via the reflection detection wave and the environmental image, thereby to determine a correctness of the distance between the movable carrier  0000  and the parking space  000 A and the relative position of the movable carrier  0000  and the parking space  000 A via the environmental image and the reflection detection wave. 
     The parking auxiliary device  0040  further includes a displaying module  0042  electrically connected to the environmental detecting device  0010 , wherein the prompting message is displayed on the displaying module  0042  as an image, a text, or both of the image and the text. 
       FIG.  1 E  is a schematic perspective view showing the displaying module  0042  according to the first system embodiment of the present invention, in which the displaying module  0042  is a vehicle electronic rear-view mirror  0100  having a display (not shown), for example.  FIG.  1 F  is a schematic section view taken along the short side of the displaying module of  FIG.  1 E . The vehicle electronic rear-view mirror  0100  could be disposed on a movable carrier, e.g. a vehicle, to assist in the driving of the vehicle or to provide information about driving. More specifically, the vehicle electronic rear-view mirror  0100  could be an inner rear-view mirror disposed inside the vehicle or an outer rear-view mirror disposed outside the vehicle, both of which are used to assist the driver in understanding the location of other vehicles. However, this is not a limitation on the present invention. In addition, the movable carrier is not limited to the vehicle, and could be other types of transportation, such as a land train, an aircraft, a water ship, etc. 
     The vehicle electronic rear-view mirror  0100  is assembled in a casing  0110 , wherein the casing  0110  has an opening (not shown). More specifically, the opening of the casing  0110  overlaps with a reflective layer  0190  of the vehicle electronic rear-view mirror  0100 . In this way, external light could be transmitted to the reflective layer  0190  located inside the casing  0110  through the opening, so that the vehicle electronic rear-view mirror  0100  functions as a mirror. When the driver drives the vehicle and faces the opening, for example, the driver could perceive the external light reflected by the vehicle electronic rear-view mirror  0100 , thereby knowing the position of the rear vehicle. 
     Referring to  FIG.  1 F , the vehicle electronic rear-view mirror  0100  includes a first transparent assembly  0120  and a second transparent assembly  0130 , wherein the first transparent assembly  0120  faces the driver, and the second transparent assembly  0130  is disposed on a side away from the driver. More specifically, the first transparent assembly  0120  and the second transparent assembly  0130  are translucent substrates, wherein a material of the translucent substrates could be glass, for example. However, the material of the translucent substrates is not a limitation on the present invention. In other embodiments, the material of the translucent substrates could be plastic, quartz, PET substrate, or other applicable materials, wherein the PET substrate has the advantages of low cost, easy manufacture, and extremely thinness, in addition to the packaging and protection effects. 
     In this embodiment, the first transparent assembly  0120  includes a first incidence surface  0122  and a first exit surface  0124 , wherein an incoming light image from the rear of the driver enters the first transparent assembly  0120  via the first incidence surface  0122 , and is emitted via the first exit surface  0124 . The second transparent assembly  0130  includes a second incidence surface  0132  and a second exit surface  0134 , wherein the second incidence surface  0132  faces the first exit surface  0124 , and a gap is formed between the second incidence surface  0132  and the first exit surface  0124  by an adhesive  0114 . After being emitted via the first exit surface  0124 , the incoming light image enters the second transparent assembly  0130  via the second incidence surface  0132  and emitted via the second exit surface  0134 . 
     An electro-optic medium layer  0140  is disposed in the gap between the first exit surface  0124  of the first transparent assembly  0120  and the second incidence surface  0132  of the second transparent assembly  0130 . At least one transparent electrode  0150  is disposed between the first transparent assembly  0120  and the electro-optic medium layer  0140 . The electro-optic medium layer  0140  is disposed between the first transparent assembly  0120  and at least one reflective layer  0190 . A transparent conductive layer  0160  is disposed between the first transparent assembly  0120  and the electro-optic medium layer  0140 . Another transparent conductive layer  0160  is disposed between the second transparent assembly  0130  and the electro-optic medium layer  0140 . An electrical connector  0170  is electrically connected to the transparent conductive layer  0160 , and another electrical connector  0170  is electrically connected to the transparent electrode  0150 , which is electrically connected to the electro-optic medium layer  0140  directly or indirectly through the another transparent conductive layer  0160 , thereby transmitting electrical energy to the electro-optic medium layer  0140  to change a transparency of the electro-optic medium layer  0140 . When a luminance of the incoming light image exceeds a certain luminance (e.g. strong light from the headlight of the rear vehicle), a glare sensor  0112  electrically connected to a control member  0180  receives the light energy and convert it into a signal, and the control member  0180  determines whether the luminance of the incoming light image exceeds a predetermined luminance, and if a glare is generated, the electrical energy is provided to the electro-optic medium layer  0140  by the electrical connector  0170  to generate an anti-glare performance. Generally, if the incoming light image has a strong luminance, the glare could be generated and thus affects the driver&#39;s line of sight, thereby endangering the driving safety. 
     In addition, the transparent electrode  0150  and the reflective layer  0190  could respectively cover the entire surfaces of the first transparent assembly  0120  and the second transparent assembly  0130 . However, this is not a limitation on the present invention. In this embodiment, the transparent electrode  0150  could use a material selected from metal oxides, such as indium tin oxide, indium zinc oxide, aluminum tin oxide, aluminum zinc oxide, indium antimony zinc oxide, or other suitable oxides, or a stacked layer composed of at least two of the foregoing oxides. Moreover, the reflective layer  0190  could be conductive and made of a material selected from the group consisting of silver (Ag), copper (Cu), aluminum (Al), titanium (Ti), chromium (Cr), molybdenum (Mo), and an alloy thereof, or contains silicon dioxide or a transparent conductive material. However, the material of the transparent electrode  0150  and the material of the reflective layer  0190  are not limitations on the present invention. In other embodiments, the material of the transparent electrode  0150  and the material of the reflective layer  0190  could be other types of materials. 
     The electro-optic medium layer  0140  could be made of an organic material or an inorganic material. However, this is not a limitation on the present invention. In the current embodiment, the electro-optic medium layer  0140  could be an electrochromic material. The electro-optic medium layer  0140  is disposed between the first transparent assembly  0120  and the second transparent assembly  0130  and also disposed between the first transparent assembly  0120  and the reflective layer  0190 . More specifically, the transparent electrode  0150  is disposed between the first transparent assembly  0120  and the electro-optic medium layer  0140  (i.e., the electrochromic material layer). In an embodiment, the reflective layer  0190  could be disposed between the second transparent assembly  0130  and the electro-optic medium layer  0140 . In addition, in the current embodiment, the vehicle electronic rear-view mirror  0100  further includes an adhesive  0114  located between the first transparent assembly  0120  and the second transparent assembly  0130  and surrounding the electro-optic medium layer  0140 . The electro-optic medium layer  0140  is co-packaged by the adhesive  0114 , the first transparent assembly  0120 , and the second transparent assembly  0130 . 
     In the current embodiment, the transparent conductive layer  0160  is disposed between the electro-optic medium layer  0140  and the reflective layer  0190 . More specifically, the transparent conductive layer  0160  could be used as an anti-oxidation layer of the reflective layer  0190 , so that the electro-optic medium layer  0140  could be prevented from direct contact with the reflective layer  0190 , thereby preventing the reflective layer  0190  from being corroded by the organic materials, and extending the service life of the vehicle electronic rear-view mirror  0100  of the current embodiment. In addition, the electro-optic medium layer  0140  is co-packaged by the adhesive  0114 , the transparent electrode  0150 , and the transparent conductive layer  0160 . In the current embodiment, the transparent conductive layer  0160  contains a material selected from the group consisting of indium tin oxide (ITO), indium zinc oxide (IZO), Al-doped ZnO (AZO), fluorine-doped tin oxide, and a combination thereof. 
     In the current embodiment, the vehicle electronic rear-view mirror  0100  could be optionally provided with the electrical connector  0170 . For instance, in an embodiment, the electrical connector  0170  could be a conducting wire or a conducting structure electrically connected to the transparent electrode  0150  and the reflective layer  0190 , so that the transparent electrode  0150  and the reflective layer  0190  could be electrically connected to the at least one control member  0180 , which provides a driving signal via the conducting wire or the conducting structure, thereby driving the electro-optic medium layer  0140 . 
     When the electro-optic medium layer  0140  is enabled, the electro-optic medium layer  0140  would undergo an electrochemical redox reaction and change its energy level to be in a diming state. When external light passes through the opening of the casing  0110  and reaches the electro-optic medium layer  0140 , the external light would be absorbed by the electro-optic medium layer  0140  which is in the diming state, so that the vehicle electronic rear-view mirror  0100  is switched to an anti-glare mode. On the other hand, when the electro-optic medium layer  0140  is disenabled, the electro-optic medium layer  0140  is transparent. At this time, the external light passing through the opening of the casing  0110  passes through the electro-optic medium layer  0140  to be reflected by the reflective layer  0190 , so that the vehicle electronic rear-view mirror  0100  is switched to a mirror mode. 
     More specifically, the first transparent assembly  0120  has the first incidence surface  0122  which is away from the second transparent assembly  0130 . For instance, external light from the rear vehicles enters the vehicle electronic rear-view mirror  0100  via the first incidence surface  0122 , and then the vehicle electronic rear-view mirror  0100  reflects the external light such that the external light leaves the vehicle electronic rear-view mirror  0100  via the first incidence surface  0122 . In addition, eyes of the vehicle driver could receive the external light reflected by the vehicle electronic rear-view mirror  0100  to know the position of other vehicles behind. Moreover, the reflective layer  0190  could have the optical property of partial transmission and partial reflection by selecting a suitable material and designing a proper film thickness. 
     The display of the vehicle electronic rear-view mirror  0100  could be an LCD or an LED, and the display could be disposed inside or outside the casing  0110 , for example, on the side of the second transparent assembly  0130  away from the first transparent assembly  0120 , or on the second exit surface  0134  of the second transparent assembly  0130  away from the first transparent assembly  0120 . Since the reflective layer  0190  has the optical property of partial transmission and partial reflection, the image light emitted by the display could pass through the reflective layer  0190 , thereby allowing the user to view the internal image displayed by the display so as to display the warning message. 
     With the aforementioned movable carrier auxiliary system, a parking auxiliary method illustrated in  FIG.  1 G  which includes following steps could be executed. 
     Step S 1 : the image capturing module  0011  captures an environmental image around the movable carrier  0000 . 
     Step S 2 : the operation module  0013  receives the environmental image and analyzes whether the environmental image has a space with a capacity greater than a volume of the movable carrier  0000 , and a length, a width, and a height of the space is greater than a length, a width, and a height of the movable carrier; if there is the space with the capacity greater than the volume of the movable carrier in the environmental image, and the length, the width, and the height of the space is greater than the length, the width, and the height of the movable carrier, the operation module  0013  determines the space is the parking space  000 A. 
     A plurality of determining ways which could be applied to the operation module  0013  are provided followed, so that the operation module  0013  in step S 2  could determine the environmental image has the parking space  000 A. 
     (1) Referring to  FIG.  1 C , the operation module  0013  first determines whether the environmental image has a parking grid marking  000 C. If there is the parking grid marking  000 C in the environmental image, the operation module  0013  determines whether an area within the parking grid marking  000 C has the parking space  000 A or not. 
     (2) Referring to  FIG.  1 H , the operation module  0013  first analyzes whether the environmental image has a line image forming a plurality of corners  000 D, and selects and determines the line image with two corners  000 D as the parking grid marking  000 C, and then determines whether an area between the two corners  000 D has the parking space  000 A or not. The two selected corners  000 D could be adjacent corners  000 D or diagonally opposite corners  000 D. The environment shown in  FIG.  1 C  could also apply the way (2) to determine the parking space  000 A with the plurality of corners  000 D. 
     (3) Referring to  FIG.  1 H , the operation module  0013  first analyzes whether the environmental image has a line image forming a plurality of corners  000 D, and selects the line image with two adjacent corners  000 D, and determines whether there is a line marking  000 E between the two adjacent corners  000 D or not. If there is the line marking  000 E between the two adjacent corners  000 D, the line image with two corners  000 D is selected and determined as the parking grid marking  000 C, and then the operation module  0013  determines whether an area surrounded by the two adjacent corners  000 D and the line marking  000 E has the parking space  000 A or not. The environment shown in  FIG.  1 C  could also apply the way (3) to determine the parking space  000 A with the plurality of corners  000 D and one of lines of the parking grid marking  000 C (i.e., the line marking  000 E). 
     (4) Referring to  FIG.  1 I , the image capturing module  0011  is disposed on a backside of the movable carrier  0000  as an example for capturing an environmental image on a rearward of the movable carrier  0000 , wherein the backside of the movable carrier  0000  could be, for example, around a trunk of the movable carrier  0000  or on a rear bumper. The operation module  0013  first determines whether the environmental image has two shunned carriers  000 F. If the environmental image has the two shunned carriers  000 F, the operation module  0013  determines whether an area between the two shunned carriers  000 F has the parking space  000 A or not. If the area between the two shunned carriers  000 F has the parking space  000 A, the operation module  0013  determines whether one of the shunned carriers  000 F moves or not, wherein the warning message is generated when one of the shunned carriers  000 F is determined moves. 
     An environment shown in  FIG.  1 J  could also apply the way (4) to determine the parking space  000 A. 
     An environment shown in  FIG.  1 K  which has both of the parking grid marking  000 C and the shunned carriers  000 F could also apply one of the ways (1) to (4) to determine the parking space  000 A. 
     Referring to  FIG.  1 L , the image capturing module  0011  is disposed on a front side of the movable carrier  0000  as an example for capturing and generating the environmental image which is in front of the movable carrier  0000 . The front side of the movable carrier  0000  could be, for example, a side of a head of a vehicle, a vicinity of the front windshield inside the vehicle, or a side of the front bumper. An environment shown in  FIG.  1 L  which has both of the parking grid marking  000 C and the shunned carriers  000 F could also apply one of the ways (1) to (4) to determine the parking space  000 A. 
     Step S 3 : the operation module  0013  determines the distance between the parking space  000 A and the movable carrier  0000  and the relative position of the parking space  000 A and the movable carrier  0000  via the environmental image. 
     Step S 4 : the state detecting device  0030  detects the movement state of the movable carrier  0000 , wherein the movement state at least includes the speed of the movable carrier  0000 . 
     Step S 5 : the parking auxiliary device  0040  generates the prompting message by deriving based on the distance between the parking space  000 A and the movable carrier  0000  and the relative position of the parking space  000 A and the movable carrier  0000  obtained in step S 3  and the movement state obtained in step S 4 , thereby the driver could manipulate the control device  0020  based on the prompting message to move the movable carrier  0000  to the parking space  000 A. In the current embodiment, when the movement speed of the movable carrier  0000  measured by the state detecting device  0030  is less than or equal to the starting speed, the parking auxiliary device  0040  generates the prompting message. 
     Referring to  FIG.  1 D , when the driver manipulates the control device  0020  based on the prompting message and when there is the obstruction  000 B located between the movable carrier  0000  and the parking space  000 A in the environmental image, the parking auxiliary device  0040  generates the warning message. 
       FIG.  1 M  illustrates a movable carrier  0002  according to a second system embodiment of the present invention.  FIG.  1 N  is a block diagram showing the movable carrier auxiliary system  0003  according to the second system embodiment. 
     The movable carrier auxiliary system  0003  according to the second system embodiment has almost the same structure with that of the first system embodiment, except that the environmental detecting device  0010  includes four image capturing modules  0011  and four luminance sensors  0012 , wherein the image capturing modules  0011  are respectively disposed on a front side, a backside, a left side, and a right side of the movable carrier  0002  for capturing environmental images on a frontward, a rearward, a leftward, and a rightward of the movable carrier  0002 . 
     The operation module  0013  detects whether an environmental image spliced by the environmental images that the four image capturing modules  0011  capture has the parking space  000 A. A horizontal angle of view covered by the environmental image spliced by the environmental images that the four image capturing modules  0011  capture is 360 degrees. The environmental image spliced by the environmental images that the image capturing modules  0011  capture could be spliced by the operation module  0013 . The movable carrier auxiliary system  0003  according to the second system embodiment could also apply the parking auxiliary method of the first system embodiment, thus we are not going to describe it in details herein. 
     However, the number of the image capturing module  0011  is not a limitation of the present invention. In other embodiments, the number of the image capturing module  0011  could be two, three, or more than five. 
     Furthermore, the optical embodiments will be described in detail as follows. The optical image capturing system could work with three wavelengths, including 486.1 nm, 587.5 nm, and 656.2 nm, wherein 587.5 nm is the main reference wavelength and is also the reference wavelength for extracting the technical characteristics. The optical image capturing system could also work with five wavelengths, including 470 nm, 510 nm, 555 nm, 610 nm, and 650 nm, wherein 555 nm is the main reference wavelength and is also the reference wavelength for extracting the technical characteristics. 
     The optical image capturing system of the present invention satisfies 0.5≤ΣPPR/|ΣNPR|≤15, and preferably satisfies 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 the 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 the 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 optical image capturing system further includes an image sensor provided on the image plane. The optical image capturing system of the present invention satisfies HOS/HOI≤50 and 0.5≤HOS/f≤150, and preferably satisfies 1≤HOS/HOI≤40 and 1≤HOS/f≤140, where HOI is half a length of a diagonal of an effective sensing area of the image sensor, i.e., the maximum image height, and HOS is a distance in parallel with the optical axis between an object-side surface of the first lens and the image plane of the at least one lens group. It is helpful for the miniaturization of the optical image capturing system and the application in light, thin, and portable electronic products. 
     The optical image capturing system of the present invention is further 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 aperture is provided between the first lens and the image plane. The front aperture provides a relatively long distance between an exit pupil of the optical image capturing system and the image plane, which allows more optical elements to be installed and increases the image receiving efficiency of the image sensor. The middle aperture could enlarge the view angle of the optical image capturing system, which provides the advantage of a wide-angle lens. The optical image capturing system satisfies 0.1≤InS/HOS≤1.1, where InS is a distance on the optical axis between the aperture and an image plane of the at least one lens group. 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 in parallel with the optical axis from the object-side surface of the first lens to an image-side surface of the sixth lens, and ΣTP is a sum of central thicknesses of the lenses having refractive power on the optical axis. It is helpful for the contrast of image and yield rate of lens manufacturing, and also provides a suitable back focal length for installation of other elements. 
     The optical image capturing system of the present invention satisfies 0.001≤|R1/R2|≤25, and preferably satisfies 0.01|R1/R2|≤12, where R1 is a radius of curvature of the object-side surface of the first lens, and R2 is a radius of curvature of the image-side surface of the first lens. It provides the first lens with a suitable positive refractive power to reduce the increase rate of the spherical aberration. 
     The optical image capturing system of the present invention satisfies −7&lt;(R11−R12)/(R11+R12)≤50, where R11 is a radius of curvature of the object-side surface of the sixth lens, and R12 is a radius of curvature of the image-side surface of the sixth lens. It may modify the astigmatic field curvature. 
     The optical image capturing system of the present invention satisfies IN12/f≤60, where IN12 is a distance on the optical axis between the first lens and the second lens. It may correct chromatic aberration and improve the performance. 
     The optical image capturing system of the present invention satisfies IN56/f≤3.0, where IN56 is a distance on the optical axis between the fifth lens and the sixth lens. It may correct chromatic aberration and improve the performance. 
     The optical image capturing system of the present invention satisfies 0.1≤(TP1+IN12)/TP2≤10, where TP1 is a central thickness of the first lens on the optical axis, and TP2 is a central thickness of the second lens on the optical axis. It may control the sensitivity of manufacture of the optical image capturing system and improve the performance. 
     The optical image capturing system of the present invention satisfies 0.1≤(TP6+IN56)/TP5≤15, where TP5 is a central thickness of the fifth lens on the optical axis, TP6 is a central thickness of the sixth lens on the optical axis, and IN56 is a distance between the fifth lens and the sixth lens. It may control the sensitivity of manufacture of the optical image capturing system and improve the performance. 
     The optical image capturing system of the present invention satisfies 0.1≤TP4/(IN34+TP4+IN45)≤1, where TP2 is a central thickness of the second lens on the optical axis, TP3 is a central thickness of the third lens on the optical axis, TP4 is a central thickness of the fourth lens on the optical axis, IN34 is a distance on the optical axis between the third lens and the fourth lens, and IN45 is a distance on the optical axis between the fourth lens and the fifth lens. It may fine-tune and correct the aberration of the incident rays layer by layer, and reduce the overall height of the optical image capturing system. 
     The optical image capturing system satisfies 0 mm≤HVT61≤3 mm; 0 mm&lt;HVT62≤6 mm; 0≤HVT61/HVT62; 0 mm≤|SGC61|≤0.5 mm; 0 mm&lt;|SGC62|≤2 mm; and 0≤|SGC62|/(SGC62|+TP6)≤0.9, where HVT61 is a vertical distance from the critical point C61 on the object-side surface of the sixth lens to the optical axis; HVT62 is a vertical distance from the critical point C62 on the image-side surface of the sixth lens to the optical axis; SGC61 is a distance on the optical axis between a point on the object-side surface of the sixth lens where the optical axis passes through and a point where the critical point C61 projects on the optical axis; SGC62 is a distance on the optical axis between a point on the image-side surface of the sixth lens where the optical axis passes through and a point where the critical point C62 projects on the optical axis. It is helpful to correct the off-axis view field aberration. 
     The optical image capturing system satisfies 0.2≤HVT62/HOI≤0.9, and preferably satisfies 0.3≤HVT62/HOI≤0.8. It may help to correct the peripheral aberration. 
     The optical image capturing system satisfies 0≤HVT62/HOS≤0.5, and preferably satisfies 0.2≤HVT62/HOS≤0.45. It may help to correct the peripheral aberration. 
     The optical image capturing system of the present invention satisfies 0&lt;SGI61|/(SGI611|+TP6)≤0.9; 0≤SGI62|/(SGI621|+TP6)≤0.9, and preferably satisfies 0.1≤SGI61|/(SGI611|+TP6)≤0.6; 0.1≤SGI62|/(SGI621|+TP7)≤0.6, where SGI611 is a displacement on the optical axis from a point on the object-side surface of the sixth lens, through which the optical axis passes, to a point where the inflection point on the object-side surface of the sixth lens, which is the closest to the optical axis, projects on the optical axis, and SGI621 is a displacement on the optical axis from a point on the image-side surface of the sixth lens, through which the optical axis passes, to a point where the inflection point on the image-side surface of the sixth lens, which is the closest to the optical axis, projects on the optical axis. 
     The optical image capturing system of the present invention satisfies 0&lt;SGI612/(SGI612|+TP6)≤0.9; 0≤SGI622/(SGI622|+TP6)≤0.9, and it is preferable to satisfy 0.1≤SGI612/(SGI612|+TP6)≤0.6; 0.1≤SGI622/(SGI622|+TP6)≤0.6, where SGI612 is a displacement on the optical axis from a point on the object-side surface of the sixth lens, through which the optical axis passes, to a point where the inflection point on the object-side surface, which is the second closest to the optical axis, projects on the optical axis, and SGI622 is a displacement on the optical axis from a point on the image-side surface of the sixth lens, through which the optical axis passes, to a point where the inflection point on the object-side surface, which is the second closest to the optical axis, projects on the optical axis. 
     The optical image capturing system of the present invention satisfies 0.001 mm≤|HIF611|&lt;5 mm; 0.001 mm≤|HIF621|&lt;5 mm, and it is preferable to satisfy 0.1 mm≤|HIF611|&lt;3.5 mm; 1.5 mm≤|HIF621|≤3.5 mm, where HIF611 is a vertical distance from the inflection point closest to the optical axis on the object-side surface of the sixth lens to the optical axis; HIF621 is a vertical distance from the inflection point closest to the optical axis on the image-side surface of the sixth lens to the optical axis. 
     The optical image capturing system of the present invention satisfies 0.001 mm≤|HIF612|≤5 mm; 0.001 mm≤|HIF622|≤5 mm, and it is preferable to satisfy 0.1 mm≤|HIF622|≤3.5 mm; 0.1 mm≤|HIF612|≤3.5 mm, where HIF612 is a vertical distance from the inflection point second closest to the optical axis on the object-side surface of the sixth lens to the optical axis; HIF622 is a vertical distance from the inflection point second closest to the optical axis on the image-side surface of the sixth lens to the optical axis. 
     The optical image capturing system of the present invention satisfies 0.001 mm≤|HIF613|≤5 mm; 0.001 mm≤|HIF623|≤5 mm, and it is preferable to satisfy 0.1 mm≤|HIF623|≤3.5 mm; 0.1 mm≤|HIF613|≤3.5 mm, where HIF613 is a vertical distance from the inflection point third closest to the optical axis on the object-side surface of the sixth lens to the optical axis; HIF623 is a vertical distance from the inflection point third closest to the optical axis on the image-side surface of the sixth lens to the optical axis. 
     The optical image capturing system of the present invention satisfies 0.001 mm≤|HIF614|≤5 mm; 0.001 mm≤|HIF624|≤5 mm, and it is preferable to satisfy 0.1 mm≤|HIF624|≤3.5 mm; 0.1 mm≤|HIF614|≤3.5 mm, where HIF614 is a vertical distance from the inflection point fourth closest to the optical axis on the object-side surface of the sixth lens to the optical axis; HIF624 is a vertical distance from the inflection point fourth closest to the optical axis on the image-side surface of the sixth lens to 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 optical image capturing 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 1 6 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 optical image capturing system, and the glass lenses may control the thermal effect and enlarge the space for arrangement of the refractive power of the optical image capturing system. In addition, the opposite surfaces (object-side surface and image-side surface) of the first to the seventh lenses could be aspheric that could 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 optical image capturing system. 
     Furthermore, in the optical image capturing system provided by the present invention, when the lens has a convex surface, it means that the surface of the lens around the optical axis is convex, and when the lens has a concave surface, it means that the surface of the lens around the optical axis is concave. 
     The optical image capturing system of the present invention could be applied in a dynamic focusing optical image capturing 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 could be coupled with the lenses to move the lenses. The driving module could be a voice coil motor (VCM), which is used to move the lens for focusing, or could 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 could be a light filter, which filters out light of wavelength shorter than 500 nm. Such effect could 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. 
     To meet different requirements, the image plane of the optical image capturing system in the present invention could be either flat or curved. If the image plane is curved (e.g., a sphere with a radius of curvature), the incidence angle required for focusing light on the image plane could be decreased, which is not only helpful to shorten the length of the optical image capturing system (TTL), but also helpful to increase the relative illuminance. 
     We provide several optical embodiments in conjunction with the accompanying drawings for the best understanding. In practice, the optical embodiments of the present invention could be applied to other embodiments. 
     [First Optical Embodiment] 
     As shown in  FIG.  2 A  and  FIG.  2 B , wherein a lens group of an optical image capturing system  10  of a first optical embodiment of the present invention is illustrated in  FIG.  2 A , and  FIG.  2 B  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 optical embodiment. The optical image capturing system  10  of the first optical embodiment 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 , an infrared rays filter  180 , an image plane  190 , and an image sensor  192 . 
     The first lens  110  has negative refractive power and is made of plastic. An object-side surface  112  thereof, which faces the object side, is a concave aspheric surface, and an image-side surface  114  thereof, which faces the image side, is a concave aspheric surface. The object-side surface  112  has two inflection points. A profile curve length of the maximum effective radius of the object-side surface  112  of the first lens  110  is denoted by ARS 11 , and a profile curve length of the maximum effective radius of the image-side surface  114  of the first lens  110  is denoted by ARS 12 . A profile curve length of half the entrance pupil diameter (HEP) of the object-side surface  112  of the first lens  110  is denoted by ARE 11 , and a profile curve length of half the entrance pupil diameter (HEP) of the image-side surface  114  of the first lens  110  is denoted by ARE 12 . A thickness of the first lens  110  on the optical axis is denoted by TP1. 
     The first lens satisfies SGI111=−0.0031 mm; |SGI111|/(|SGI111|+TP1)=0.0016, where a displacement on the optical axis from a point on the object-side surface  112  of the first lens  110 , through which the optical axis passes, to a point where the inflection point on the object-side surface  112 , which is the closest to the optical axis, projects on the optical axis, is denoted by SGI111, and a displacement on the optical axis from a point on the image-side surface  114  of the first lens  110 , through which the optical axis passes, to a point where the inflection point on the image-side surface  114 , which is the closest to the optical axis, projects on the optical axis is denoted by SGI121. 
     The first lens  110  satisfies SGI112=1.3178 mm; |SGI112|/(|SGI112|+TP1)=0.4052, where a displacement on the optical axis from a point on the object-side surface  112  of the first lens  110 , through which the optical axis passes, to a point where the inflection point on the object-side surface  112 , which is the second closest to the optical axis, projects on the optical axis, is denoted by SGI112, and a displacement on the optical axis from a point on the image-side surface  114  of the first lens  110 , through which the optical axis passes, to a point where the inflection point on the image-side surface  114 , which is the second closest to the optical axis, projects on the optical axis is denoted by SGI122. 
     The first lens  110  satisfies HIF111=0.5557 mm; HIF111/HOI=0.1111, where a displacement perpendicular to the optical axis from a point on the object-side surface  112  of the first lens  110 , through which the optical axis passes, to the inflection point, which is the closest to the optical axis is denoted by HIF111, and a displacement perpendicular to the optical axis from a point on the image-side surface  114  of the first lens  110 , through which the optical axis passes, to the inflection point, which is the closest to the optical axis is denoted by HIF121. 
     The first lens  110  satisfies HIF112=5.3732 mm; HIF112/HOI=1.0746, where a displacement perpendicular to the optical axis from a point on the object-side surface  112  of the first lens  110 , through which the optical axis passes, to the inflection point, which is the second closest to the optical axis is denoted by HIF112, and a displacement perpendicular to the optical axis from a point on the image-side surface  114  of the first lens  110 , through which the optical axis passes, to the inflection point, which is the second closest to the optical axis is denoted by HIF122. 
     The second lens  120  has positive refractive power and is made of plastic. An object-side surface  122  thereof, which faces the object side, is a convex aspheric surface, and an image-side surface  124  thereof, which faces the image side, is a convex aspheric surface. The object-side surface  122  has an inflection point. A profile curve length of the maximum effective radius of the object-side surface  122  of the second lens  120  is denoted by ARS 21 , and a profile curve length of the maximum effective radius of the image-side surface  124  of the second lens  120  is denoted by ARS 22 . A profile curve length of half the entrance pupil diameter (HEP) of the object-side surface  122  of the second lens  120  is denoted by ARE 21 , and a profile curve length of half the entrance pupil diameter (HEP) of the image-side surface  124  of the second lens  120  is denoted by ARE 22 . A thickness of the second lens  120  on the optical axis is denoted by TP2. 
     The second lens  120  satisfies SGI211=0.1069 mm; |SGI211|/(|SGI211|+TP2)=0.0412; SGI221=0 mm; |SGI221|/(|SGI221|+TP2)=0, where a displacement on the optical axis from a point on the object-side surface  122  of the second lens  120 , through which the optical axis passes, to a point where the inflection point on the object-side surface  122 , which is the closest to the optical axis, projects on the optical axis, is denoted by SGI211, and a displacement on the optical axis from a point on the image-side surface  124  of the second lens  120 , through which the optical axis passes, to a point where the inflection point on the image-side surface  124 , which is the closest to the optical axis, projects on the optical axis is denoted by SGI221. 
     The second lens  120  satisfies HIF211=1.1264 mm; HIF211/HOI=0.2253; HIF221=0 mm; HIF221/HOI=0, where a displacement perpendicular to the optical axis from a point on the object-side surface  122  of the second lens  120 , through which the optical axis passes, to the inflection point, which is the closest to the optical axis is denoted by HIF211, and a displacement perpendicular to the optical axis from a point on the image-side surface  124  of the second lens  120 , through which the optical axis passes, to the inflection point, which is the closest to the optical axis is denoted by HIF221. 
     The third lens  130  has negative refractive power and is made of plastic. An object-side surface  132 , which faces the object side, is a concave aspheric surface, and an image-side surface  134 , which faces the image side, is a convex aspheric surface. The object-side surface  132  has an inflection point, and the image-side surface  134  has an inflection point. The object-side surface  122  has an inflection point. A profile curve length of the maximum effective radius of the object-side surface  132  of the third lens  130  is denoted by ARS 31 , and a profile curve length of the maximum effective radius of the image-side surface  134  of the third lens  130  is denoted by ARS 32 . A profile curve length of half the entrance pupil diameter (HEP) of the object-side surface  132  of the third lens  130  is denoted by ARE 31 , and a profile curve length of half the entrance pupil diameter (HEP) of the image-side surface  134  of the third lens  130  is denoted by ARE 32 . A thickness of the third lens  130  on the optical axis is denoted by TP3. 
     The third lens  130  satisfies SGI311=−0.3041 mm; SGI311|/(|SGI311|+TP3)=0.4445; SGI321=−0.1172 mm; |SGI321|/(|SGI321|+TP3)=0.2357, where SGI311 is a displacement on the optical axis from a point on the object-side surface  132  of the third lens  130 , through which the optical axis passes, to a point where the inflection point on the object-side surface  132 , which is the closest to the optical axis, projects on the optical axis, and SGI321 is a displacement on the optical axis from a point on the image-side surface  134  of the third lens  130 , through which the optical axis passes, to a point where the inflection point on the image-side surface  134 , which is the closest to the optical axis, projects on the optical axis. 
     The third lens  130  satisfies HIF311=1.5907 mm; HIF311/HOI=0.3181; HIF321=1.3380 mm; HIF321/HOI=0.2676, where HIF311 is a distance perpendicular to the optical axis between the inflection point on the object-side surface  132  of the third lens  130 , which is the closest to the optical axis, and the optical axis; HIF321 is a distance perpendicular to the optical axis between the inflection point on the image-side surface  134  of the third lens  130 , which is the 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 concave aspheric surface. The object-side surface  142  has two inflection points, and the image-side surface  144  has an inflection point. A profile curve length of the maximum effective radius of the object-side surface  142  of the fourth lens  140  is denoted by ARS 41 , and a profile curve length of the maximum effective radius of the image-side surface  144  of the fourth lens  140  is denoted by ARS 42 . A profile curve length of half the entrance pupil diameter (HEP) of the object-side surface  142  of the fourth lens  140  is denoted by ARE 41 , and a profile curve length of half the entrance pupil diameter (HEP) of the image-side surface  144  of the fourth lens  140  is denoted by ARE 42 . A thickness of the fourth lens  140  on the optical axis is TP4. 
     The fourth lens  140  satisfies SGI411=0.0070 mm; SGI411/(|SGI411|+TP4)=0.0056; SGI421=0.0006 mm; |SGI42|/(|SGI421|+TP4)=0.0005, where SGI411 is a displacement on the optical axis from a point on the object-side surface  142  of the fourth lens  140 , through which the optical axis passes, to a point where the inflection point on the object-side surface  142 , which is the closest to the optical axis, projects on the optical axis, and SGI421 is a displacement on the optical axis from a point on the image-side surface  144  of the fourth lens  140 , through which the optical axis passes, to a point where the inflection point on the image-side surface  144 , which is the closest to the optical axis, projects on the optical axis. 
     The fourth lens  140  satisfies SGI412=−0.2078 mm; |SGI412/(|SGI412|+TP4)=0.1439, where SGI412 is a displacement on the optical axis from a point on the object-side surface  142  of the fourth lens  140 , through which the optical axis passes, to a point where the inflection point on the object-side surface  142 , which is the second closest to the optical axis, projects on the optical axis, and SGI422 is a displacement on the optical axis from a point on the image-side surface  144  of the fourth lens  140 , through which the optical axis passes, to a point where the inflection point on the image-side surface  144 , which is the second closest to the optical axis, projects on the optical axis. 
     The fourth lens  140  further satisfies HIF411=0.4706 mm; HIF411/HOI=0.0941; HIF421=0.1721 mm; HIF421/HOI=0.0344, where HIF411 is a distance perpendicular to the optical axis between the inflection point on the object-side surface  142  of the fourth lens  140 , which is the closest to the optical axis, and the optical axis; HIF421 is a distance perpendicular to the optical axis between the inflection point on the image-side surface  144  of the fourth lens  140 , which is the closest to the optical axis, and the optical axis. 
     The fourth lens  140  satisfies HIF412=2.0421 mm; HIF412/HOI=0.4084, where HIF412 is a distance perpendicular to the optical axis between the inflection point on the object-side surface  142  of the fourth lens  140 , which is the second closest to the optical axis, and the optical axis; HIF422 is a distance perpendicular to the optical axis between the inflection point on the image-side surface  144  of the fourth lens  140 , 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 convex aspheric surface, and an image-side surface  154 , which faces the image side, is a convex aspheric surface. The object-side surface  152  has two inflection points, and the image-side surface  154  has an inflection point. A profile curve length of the maximum effective radius of the object-side surface  152  of the fifth lens  150  is denoted by ARS 51 , and a profile curve length of the maximum effective radius of the image-side surface  154  of the fifth lens  150  is denoted by ARS 52 . A profile curve length of half the entrance pupil diameter (HEP) of the object-side surface  152  of the fifth lens  150  is denoted by ARE 51 , and a profile curve length of half the entrance pupil diameter (HEP) of the image-side surface  154  of the fifth lens  150  is denoted by ARE 52 . A thickness of the fifth lens  150  on the optical axis is denoted by TP5. 
     The fifth lens  150  satisfies SGI511=0.00364 mm; SGI521=−0.63365 mm; |SGI511|/(|SGI511|+TP5)=0.00338; |SGI52|/(|SGI521|+TP5)=0.37154, where SGI511 is a displacement on the optical axis from a point on the object-side surface  152  of the fifth lens  150 , through which the optical axis passes, to a point where the inflection point on the object-side surface  152 , which is the closest to the optical axis, projects on the optical axis, and SGI521 is a displacement on the optical axis from a point on the image-side surface  154  of the fifth lens  150 , through which the optical axis passes, to a point where the inflection point on the image-side surface  154 , which is the closest to the optical axis, projects on the optical axis. 
     The fifth lens  150  satisfies SGI512=−0.32032 mm; |SGI512/(|SGI512|+TP5)=0.23009, where SGI512 is a displacement on the optical axis from a point on the object-side surface  152  of the fifth lens  150 , through which the optical axis passes, to a point where the inflection point on the object-side surface  152 , which is the second closest to the optical axis, projects on the optical axis, and SGI522 is a displacement on the optical axis from a point on the image-side surface  154  of the fifth lens  150 , through which the optical axis passes, to a point where the inflection point on the image-side surface  154 , which is the second closest to the optical axis, projects on the optical axis. 
     The fifth lens  150  satisfies SGI513=0 mm; SGI523=0 mm; |SGI513/(|SGI513|+TP5)=0; |SGI523/(|SGI523|+TP5)=0, where SGI513 is a displacement on the optical axis from a point on the object-side surface  152  of the fifth lens  150 , through which the optical axis passes, to a point where the inflection point on the object-side surface  152 , which is the third closest to the optical axis, projects on the optical axis, and SGI523 is a displacement on the optical axis from a point on the image-side surface  154  of the fifth lens  150 , through which the optical axis passes, to a point where the inflection point on the image-side surface  154 , which is the third closest to the optical axis, projects on the optical axis. 
     The fifth lens  150  satisfies SGI514=0 mm; SGI524=0 mm; |SGI514/(|SGI514|+TP5)=0; |SGI524/(|SGI524|+TP5)=0, where SGI514 is a displacement on the optical axis from a point on the object-side surface  152  of the fifth lens  150 , through which the optical axis passes, to a point where the inflection point on the object-side surface  152 , which is the fourth closest to the optical axis, projects on the optical axis, and SGI524 is a displacement on the optical axis from a point on the image-side surface  154  of the fifth lens  150 , through which the optical axis passes, to a point where the inflection point on the image-side surface  154 , which is the fourth closest to the optical axis, projects on the optical axis. 
     The fifth lens  150  further satisfies HIF511=0.28212 mm; HIF521=2.13850 mm; HIF511/HOI=0.05642; HIF521/HOI=0.42770, where HIF511 is a distance perpendicular to the optical axis between the inflection point on the object-side surface  152  of the fifth lens  150 , which is the closest to the optical axis, and the optical axis; HIF521 is a distance perpendicular to the optical axis between the inflection point on the image-side surface  154  of the fifth lens  150 , which is the closest to the optical axis, and the optical axis. 
     The fifth lens  150  further satisfies HIF512=2.51384 mm; HIF512/HOI=0.50277, where HIF512 is a distance perpendicular to the optical axis between the inflection point on the object-side surface  152  of the fifth lens  150 , which is the second closest to the optical axis, and the optical axis; HIF522 is a distance perpendicular to the optical axis between the inflection point on the image-side surface  154  of the fifth lens  150 , which is the second closest to the optical axis, and the optical axis. 
     The fifth lens  150  further satisfies HIF513=0 mm; HIF513/HOI=0; HIF523=0 mm; HIF523/HOI=0, where HIF513 is a distance perpendicular to the optical axis between the inflection point on the object-side surface  152  of the fifth lens  150 , which is the third closest to the optical axis, and the optical axis; HIF523 is a distance perpendicular to the optical axis between the inflection point on the image-side surface  154  of the fifth lens  150 , which is the third closest to the optical axis, and the optical axis. 
     The fifth lens  150  further satisfies HIF514=0 mm; HIF514/HOI=0; HIF524=0 mm; HIF524/HOI=0, where HIF514 is a distance perpendicular to the optical axis between the inflection point on the object-side surface  152  of the fifth lens  150 , which is the fourth closest to the optical axis, and the optical axis; HIF524 is a distance perpendicular to the optical axis between the inflection point on the image-side surface  154  of the fifth lens  150 , which is the fourth 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 concave surface, and an image-side surface  164 , which faces the image side, is a concave surface. The object-side surface  162  has two inflection points, and the image-side surface  164  has an inflection point. Whereby, the incident angle of each view field entering the sixth lens  160  could be effectively adjusted to improve aberration. A profile curve length of the maximum effective radius of the object-side surface  162  of the sixth lens  160  is denoted by ARS 61 , and a profile curve length of the maximum effective radius of the image-side surface  164  of the sixth lens  160  is denoted by ARS 62 . A profile curve length of half the entrance pupil diameter (HEP) of the object-side surface  162  of the sixth lens  160  is denoted by ARE 61 , and a profile curve length of half the entrance pupil diameter (HEP) of the image-side surface  164  of the sixth lens  160  is denoted by ARE 62 . A thickness of the sixth lens  160  on the optical axis is denoted by TP6. 
     The sixth lens  160  satisfies SGI611=−0.38558 mm; SGI621=0.12386 mm; SGI611|/(|SGI611|+TP6)=0.27212; |SGI621|/(|SGI621|+TP6)=0.10722, where SGI611 is a displacement on 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 where the inflection point on the object-side surface  162 , which is the closest to the optical axis, projects on the optical axis, and SGI621 is a displacement on 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 where the inflection point on the image-side surface  164 , which is the closest to the optical axis, projects on the optical axis. 
     The sixth lens  160  satisfies SGI612=−0.47400 mm; |SGI612/(|SGI612|+TP6)=0.31488; SGI622=0 mm; |SGI622/(|SGI622|+TP6)=0, where SGI612 is a displacement on 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 where the inflection point on the object-side surface  162 , which is the second closest to the optical axis, projects on the optical axis, and SGI622 is a displacement on 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 where the inflection point on the image-side surface  164 , which is the second closest to the optical axis, projects on the optical axis. 
     The sixth lens  160  further satisfies HIF611=2.24283 mm; HIF621=1.07376 mm; HIF611/HOI=0.44857; HIF621/HOI=0.21475, where HIF611 is a distance perpendicular to the optical axis between the inflection point on the object-side surface  162  of the sixth lens  160 , which is the closest to the optical axis, and the optical axis; HIF621 is a distance perpendicular to the optical axis between the inflection point on the image-side surface  164  of the sixth lens  160 , which is the closest to the optical axis, and the optical axis. 
     The sixth lens  160  further satisfies HIF612=2.48895 mm; HIF612/HOI=0.49779, where HIF612 is a distance perpendicular to the optical axis between the inflection point on the object-side surface  162  of the sixth lens  160 , which is the second closest to the optical axis, and the optical axis; HIF622 is a distance perpendicular to the optical axis between the inflection point on the image-side surface  164  of the sixth lens  160 , which is the second closest to the optical axis, and the optical axis. 
     The sixth lens  160  further satisfies HIF613=0 mm; HIF613/HOI=0; HIF623=0 mm; HIF623/HOI=0, where HIF613 is a distance perpendicular to the optical axis between the inflection point on the object-side surface  162  of the sixth lens  160 , which is the third closest to the optical axis, and the optical axis; HIF623 is a distance perpendicular to the optical axis between the inflection point on the image-side surface  164  of the sixth lens  160 , which is the third closest to the optical axis, and the optical axis. 
     The sixth lens  160  further satisfies HIF614=0 mm; HIF614/HOI=0; HIF624=0 mm; HIF624/HOI=0, where HIF614 is a distance perpendicular to the optical axis between the inflection point on the object-side surface  162  of the sixth lens  160 , which is the fourth closest to the optical axis, and the optical axis; HIF624 is a distance perpendicular to the optical axis between the inflection point on the image-side surface  164  of the sixth lens  160 , which is the fourth closest to the optical axis, and the optical axis. 
     The infrared rays filter  180  is made of glass and is disposed between the sixth lens  160  and the image plane  190 . The infrared rays filter  180  gives no contribution to the focal length of the optical image capturing system  10 . 
     The optical image capturing system  10  of the first optical embodiment has the following parameters, which are f=4.075 mm; f/HEP=1.4; HAF=50.001 degrees; and tan(HIAF)=1.1918, where f is a focal length of the lens group; HAF is half the maximum field angle; and HEP is an entrance pupil diameter. 
     The parameters of the lenses of the first optical embodiment are f1=−7.828 mm; |f/f1|=0.52060; f6=−4.886; and |f1|&gt;f6, where f1 is a focal length of the first lens  110 ; and f6 is a focal length of the sixth lens  160 . 
     The first optical embodiment further satisfies |f2|+|f3|+|f4|+|f5|=95.50815; |f1|+|f6|=12.71352 and |f2|+|f3|+|f4|+|f5|&gt;|f1|+|f6|, 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 . 
     The optical image capturing system  10  of the first optical embodiment further satisfies ΣPPR=f/f2+f/f4+f/f5=1.63290; ΣNPR=|f/f1|+|f/f3|+|f/f6|=1.51305; ΣPPR/|ΣNPR|=1.07921; |f/f2|=0.69101; |f/f3|=0.15834; |f/f4|=0.06883; |f/f5|=0.87305; and |f/f6|=0.83412, 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 optical embodiment further satisfies InTL+BFL=HOS; HOS=19.54120 mm; HOI=5.0 mm; HOS/HOI=3.90824; HOS/f=4.7952; InS=11.685 mm; InTL/HOS=0.9171; and InS/HOS=0.59794, where InTL is an optical axis distance between the object-side surface  112  of the first lens  110  and the image-side surface  164  of the sixth lens  160 ; HOS is a height of the image capturing system, i.e. an optical axis distance between the object-side surface  112  of the first lens  110  and the image plane  190 ; InS is an optical axis distance between the aperture  100  and the image plane  190 ; HOI is half 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  164  of the sixth lens  160  and the image plane  190 . 
     The optical image capturing system  10  of the first optical embodiment further satisfies ΣTP=8.13899 mm; and ΣTP/InTL=0.52477, where ΣTP is a sum of the thicknesses of the lenses  110 - 160  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 optical embodiment further satisfies |R1/R2|=8.99987, where R1 is a radius of curvature of the object-side surface  112  of the first lens  110 , and R2 is a radius of curvature of the image-side surface  114  of the first lens  110 . It provides the first lens  110  with a suitable positive refractive power to reduce the increase rate of the spherical aberration. 
     The optical image capturing system  10  of the first optical embodiment further satisfies (R11-R12)/(R11+R12)=1.27780, where R11 is a radius of curvature of the object-side surface  162  of the sixth lens  160 , and R12 is a radius of curvature of the image-side surface  164  of the sixth lens  160 . It may modify the astigmatic field curvature. 
     The optical image capturing system  10  of the first optical embodiment further satisfies ΣPP=f2+f4+f5=69.770 mm; and f5/(f2+f4+f5)=0.067, 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 a single lens to other positive lenses to avoid the significant aberration caused by the incident rays. 
     The optical image capturing system  10  of the first optical embodiment further satisfies ΣNP=f1+f3+f6=−38.451 mm; and f6/(f1+f3+f6)=0.127, 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 sixth lens  160  to the other negative lens, which avoids the significant aberration caused by the incident rays. 
     The optical image capturing system  10  of the first optical embodiment further satisfies IN12=6.418 mm; IN12/f=1.57491, where IN12 is a distance on the optical axis between the first lens  110  and the second lens  120 . It may correct chromatic aberration and improve the performance. 
     The optical image capturing system  10  of the first optical embodiment further satisfies IN56=0.025 mm; IN56/f=0.00613, where IN56 is a distance on the optical axis between the fifth lens  150  and the sixth lens  160 . It may correct chromatic aberration and improve the performance. 
     The optical image capturing system  10  of the first optical embodiment further satisfies TP1=1.934 mm; TP2=2.486 mm; and (TP1+IN12)/TP2=3.36005, where TP1 is a central thickness of the first lens  110  on the optical axis, and TP2 is a central thickness of the second lens  120  on the optical axis. It may control the sensitivity of manufacture of the optical image capturing system and improve the performance. 
     The optical image capturing system  10  of the first optical embodiment further satisfies TP5=1.072 mm; TP6=1.031 mm; and (TP6+IN56)/TP5=0.98555, where TP5 is a central thickness of the fifth lens  150  on the optical axis, TP6 is a central thickness of the sixth lens  160  on the optical axis, and IN56 is a distance on the optical axis between the fifth lens  150  and the sixth lens  160 . It may control the sensitivity of manufacture of the optical image capturing system and lower the total height of the optical image capturing system. 
     The optical image capturing system  10  of the first optical embodiment further satisfies IN34=0.401 mm; IN45=0.025 mm; and TP4/(IN34|+TP4+IN45)=0.74376, where TP4 is a central thickness of the fourth lens  140  on the optical axis; IN34 is a distance on the optical axis between the third lens  130  and the fourth lens  140 ; IN45 is a distance on the optical axis between the fourth lens  140  and the fifth lens  150 . It may help to slightly correct the aberration caused by the incident rays and lower the total height of the optical image capturing system. 
     The optical image capturing system  10  of the first optical embodiment further satisfies InRS51=−0.34789 mm; InRS52=−0.88185 mm; |InRS51|/TP5=0.32458; and |InRS52|/TP5=0.82276, where InRS51 is a displacement from a point on the object-side surface  152  of the fifth lens  150  passed through by the optical axis to a point on the optical axis where a projection of the maximum effective semi diameter of the object-side surface  152  of the fifth lens  150  ends; InRS52 is a displacement from a point on the image-side surface  154  of the fifth lens  150  passed through by the optical axis to a point on the optical axis where a projection of the maximum effective semi diameter of the image-side surface  154  of the fifth lens  150  ends; and TP5 is a central thickness of the fifth lens  150  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 optical embodiment further satisfies HVT51=0.515349 mm; and HVT52=0 mm, where HVT51 is a distance perpendicular to the optical axis between the critical point on the object-side surface  152  of the fifth lens  150  and the optical axis; and HVT52 is a distance perpendicular to the optical axis between the critical point on the image-side surface  154  of the fifth lens  150  and the optical axis. 
     The optical image capturing system  10  of the first optical embodiment further satisfies InRS61=−0.58390 mm; InRS62=0.41976 mm; |InRS61|/TP6=0.56616; and |InRS62|/TP6=0.40700, where InRS61 is a displacement from a point on the object-side surface  162  of the sixth lens  160  passed through by the optical axis to a point on the optical axis where a projection of the maximum effective semi diameter of the object-side surface  162  of the sixth lens  160  ends; InRS62 is a displacement from a point on the image-side surface  164  of the sixth lens  160  passed through by the optical axis to a point on the optical axis where a projection of the maximum effective semi diameter of the image-side surface  164  of the sixth lens  160  ends; and TP6 is a central thickness of the sixth lens  160  on the optical axis. It is helpful for manufacturing and shaping of the lenses and is helpful to reduce the size. 
     The optical image capturing system  10  of the first optical embodiment satisfies HVT61=0 mm; and HVT62=0 mm, where HVT61 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 HVT62 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 optical embodiment satisfies HVT51/HOI=0.1031. 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 optical embodiment satisfies HVT51/HOS=0.02634. 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 sixth lens  160  have negative refractive power. The optical image capturing system  10  of the first optical embodiment further satisfies NA6/NA2&lt;1, where NA2 is an Abbe number of the second lens  120 ; NA3 is an Abbe number of the third lens  130 ; NA6 is an Abbe number of the sixth lens  160 . It may correct the aberration of the optical image capturing system. 
     The optical image capturing system  10  of the first optical embodiment further satisfies |TDT|=2.124%; |ODT|=5.076%, where TDT is TV distortion; and ODT is optical distortion. 
     The parameters of the lenses of the first optical embodiment are listed in Table 1 and Table 2. 
     
       
         
           
               
             
               
                 TABLE 1 
               
             
            
               
                   
               
               
                 f = 4.075 mm; f/HEP = 1.4; HAF = 50.000 deg 
               
            
           
           
               
               
               
               
               
               
               
            
               
                   
                 Radius of curvature 
                 Thickness 
                   
                 Refractive 
                 Abbe 
                 Focal length 
               
               
                 Surface 
                 (mm) 
                 (mm) 
                 Material 
                 index 
                 number 
                 (mm) 
               
               
                   
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                 0 
                 Object 
                 plane 
                 plane 
                   
                   
                   
                   
               
               
                 1 
                 1 st  lens 
                 −40.99625704 
                 1.934 
                 plastic 
                 1.515 
                 56.55 
                 −7.828 
               
               
                 2 
                   
                 4.555209289 
                 5.923 
               
               
                 3 
                 Aperture 
                 plane 
                 0.495 
               
               
                 4 
                 2 nd  lens 
                 5.333427366 
                 2.486 
                 plastic 
                 1.544 
                 55.96 
                 5.897 
               
               
                 5 
                   
                 −6.781659971 
                 0.502 
               
               
                 6 
                 3 rd  lens 
                 −5.697794287 
                 0.380 
                 plastic 
                 1.642 
                 22.46 
                 −25.738 
               
               
                 7 
                   
                 −8.883957518 
                 0.401 
               
               
                 8 
                 4 th  lens 
                 13.19225664 
                 1.236 
                 plastic 
                 1.544 
                 55.96 
                 59.205 
               
               
                 9 
                   
                 21.55681832 
                 0.025 
               
               
                 10 
                 5 th  lens 
                 8.987806345 
                 1.072 
                 plastic 
                 1.515 
                 56.55 
                 4.668 
               
               
                 11 
                   
                 −3.158875374 
                 0.025 
               
               
                 12 
                 6 th  lens 
                 −29.46491425 
                 1.031 
                 plastic 
                 1.642 
                 22.46 
                 −4.886 
               
               
                 13 
                   
                 3.593484273 
                 2.412 
               
               
                 14 
                 Infrared rays 
                 plane 
                 0.200 
                   
                 1.517 
                 64.13 
               
               
                   
                 filter 
               
               
                 15 
                   
                 plane 
                 1.420 
               
               
                 16 
                 Image plane 
                 plane 
                 0 
               
               
                   
               
               
                 Reference wavelength (d-line): 555 nm; the position of blocking light: the clear aperture of the first surface is 5.800 mm; the clear aperture of the third surface is 1.570 mm; the clear aperture of the fifth surface is 1.950. 
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 2 
               
               
                   
               
               
                 Coefficients of the aspheric surfaces 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                 Surface 
                 1 
                 2 
                 4 
                 5 
                 6 
                 7 
                 8 
               
               
                   
               
               
                 k 
                 4.310876E+01 
                 −4.707622E+00 
                  2.616025E+00 
                  2.445397E+00 
                  5.645686E+00 
                 −2.117147E+01 
                 −5.287220E+00 
               
               
                 A4 
                 7.054243E−03 
                  1.714312E−02 
                 −8.377541E−03 
                 −1.789549E−02 
                 −3.379055E−03 
                 −1.370959E−02 
                 −2.937377E−02 
               
               
                 A6 
                 −5.233264E−04  
                 −1.502232E−04 
                 −1.838068E−03 
                 −3.657520E−03 
                 −1.225453E−03 
                  6.250200E−03 
                  2.743532E−03 
               
               
                 A8 
                 3.077890E−05 
                 −1.359611E−04 
                  1.233332E−03 
                 −1.131622E−03 
                 −5.979572E−03 
                 −5.854426E−03 
                 −2.457574E−03 
               
               
                 A10 
                 −1.260650E−06  
                  2.680747E−05 
                 −2.390895E−03 
                  1.390351E−03 
                  4.556449E−03 
                  4.049451E−03 
                  1.874319E−03 
               
               
                 A12 
                 3.319093E−08 
                 −2.017491E−06 
                  1.998555E−03 
                 −4.152857E−04 
                 −1.177175E−03 
                 −1.314592E−03 
                 −6.013661E−04 
               
               
                 A14 
                 −5.051600E−10  
                  6.604615E−08 
                 −9.734019E−04 
                  5.487286E−05 
                  1.370522E−04 
                  2.143097E−04 
                  8.792480E−05 
               
               
                 A16 
                 3.380000E−12 
                 −1.301630E−09 
                  2.478373E−04 
                 −2.919339E−06 
                 −5.974015E−06 
                 −1.399894E−05 
                 −4.770527E−06 
               
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 Surface 
                 9 
                 10 
                 11 
                 12 
                 13 
               
               
                   
               
               
                 k 
                  6.200000E+01 
                 −2.114008E+01 
                 −7.699904E+00 
                 −6.155476E+01 
                 −3.120467E−01 
               
               
                 A4 
                 −1.359965E−01 
                 −1.263831E−01 
                 −1.927804E−02 
                 −2.492467E−02 
                 −3.521844E−02 
               
               
                 A6 
                  6.628518E−02 
                  6.965399E−02 
                  2.478376E−03 
                 −1.835360E−03 
                  5.629654E−03 
               
               
                 A8 
                 −2.129167E−02 
                 −2.116027E−02 
                  1.438785E−03 
                  3.201343E−03 
                 −5.466925E−04 
               
               
                 A10 
                  4.396344E−03 
                  3.819371E−03 
                 −7.013749E−04 
                 −8.990757E−04 
                  2.231154E−05 
               
               
                 A12 
                 −5.542899E−04 
                 −4.040283E−04 
                  1.253214E−04 
                  1.245343E−04 
                  5.548990E−07 
               
               
                 A14 
                  3.768879E−05 
                  2.280473E−05 
                 −9.943196E−06 
                 −8.788363E−06 
                 −9.396920E−08 
               
               
                 A16 
                 −1.052467E−06 
                 −5.165452E−07 
                  2.898397E−07 
                  2.494302E−07 
                  2.728360E−09 
               
               
                   
               
            
           
         
       
     
     The figures related to the profile curve lengths obtained based on Table 1 and Table 2 are listed in the following table: 
     
       
         
           
               
             
               
                   
               
               
                 First optical embodiment (Reference wavelength: 555 nm) 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
               
            
               
                 ARE 
                 ½(HEP) 
                 ARE value 
                 ARE − ½(HEP) 
                 2(ARE/HEP) % 
                 TP 
                 ARE/TP (%) 
               
               
                   
               
               
                 11 
                 1.455 
                 1.455 
                 −0.00033  
                  99.98% 
                 1.934 
                 75.23% 
               
               
                 12 
                 1.455 
                 1.495 
                 0.03957 
                 102.72% 
                 1.934 
                 77.29% 
               
               
                 21 
                 1.455 
                 1.465 
                 0.00940 
                 100.65% 
                 2.486 
                 58.93% 
               
               
                 22 
                 1.455 
                 1.495 
                 0.03950 
                 102.71% 
                 2.486 
                 60.14% 
               
               
                 31 
                 1.455 
                 1.486 
                 0.03045 
                 102.09% 
                 0.380 
                 391.02% 
               
               
                 32 
                 1.455 
                 1.464 
                 0.00830 
                 100.57% 
                 0.380 
                 385.19% 
               
               
                 41 
                 1.455 
                 1.458 
                 0.00237 
                 100.16% 
                 1.236 
                 117.95% 
               
               
                 42 
                 1.455 
                 1.484 
                 0.02825 
                 101.94% 
                 1.236 
                 120.04% 
               
               
                 51 
                 1.455 
                 1.462 
                 0.00672 
                 100.46% 
                 1.072 
                 136.42% 
               
               
                 52 
                 1.455 
                 1.499 
                 0.04335 
                 102.98% 
                 1.072 
                 139.83% 
               
               
                 61 
                 1.455 
                 1.465 
                 0.00964 
                 100.66% 
                 1.031 
                 142.06% 
               
               
                 62 
                 1.455 
                 1.469 
                 0.01374 
                 100.94% 
                 1.031 
                 142.45% 
               
               
                   
               
               
                 ARS 
                 EHD 
                 ARS value 
                 ARS − EHD 
                 (ARS/EHD)% 
                 TP 
                 ARS/TP (%) 
               
               
                   
               
               
                 11 
                 5.800 
                 6.141 
                 0.341 
                 105.88% 
                 1.934 
                 317.51% 
               
               
                 12 
                 3.299 
                 4.423 
                 1.125 
                 134.10% 
                 1.934 
                 228.70% 
               
               
                 21 
                 1.664 
                 1.674 
                 0.010 
                 100.61% 
                 2.486 
                 67.35% 
               
               
                 22 
                 1.950 
                 2.119 
                 0.169 
                 108.65% 
                 2.486 
                 85.23% 
               
               
                 31 
                 1.980 
                 2.048 
                 0.069 
                 103.47% 
                 0.380 
                 539.05% 
               
               
                 32 
                 2.084 
                 2.101 
                 0.017 
                 100.83% 
                 0.380 
                 552.87% 
               
               
                 41 
                 2.247 
                 2.287 
                 0.040 
                 101.80% 
                 1.236 
                 185.05% 
               
               
                 42 
                 2.530 
                 2.813 
                 0.284 
                 111.22% 
                 1.236 
                 227.63% 
               
               
                 51 
                 2.655 
                 2.690 
                 0.035 
                 101.32% 
                 1.072 
                 250.99% 
               
               
                 52 
                 2.764 
                 2.930 
                 0.166 
                 106.00% 
                 1.072 
                 273.40% 
               
               
                 61 
                 2.816 
                 2.905 
                 0.089 
                 103.16% 
                 1.031 
                 281.64% 
               
               
                 62 
                 3.363 
                 3.391 
                 0.029 
                 100.86% 
                 1.031 
                 328.83% 
               
               
                 72 
                 5.800 
                 6.141 
                 0.341 
                 105.88% 
                 1.934 
                 317.51% 
               
               
                   
               
            
           
         
       
     
     The detailed data of  FIG.  2 B  of the first optical embodiment are listed in Table 1, in which the unit of the radius of curvature, thickness, and focal length are millimeter, and surface  0 - 16  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 k indicates the taper coefficient in the aspheric curve equation, and A1-A20 indicate the coefficients of aspheric surfaces from the first order to the twentieth order of each aspheric surface. The following optical embodiments have similar diagrams and tables, which are the same as those of the first optical embodiment, so we do not describe it again. The definitions of the mechanism component parameters of the following optical embodiments are the same as those of the first optical embodiment. 
     [Second Optical Embodiment] 
     As shown in  FIG.  3 A  and  FIG.  3 B , an optical image capturing system  20  of the second optical embodiment of the present invention includes, along an optical axis from an object side to an image side, a first lens  210 , a second lens  220 , a third lens  230 , an aperture  200 , 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 . 
     The first lens  210  has negative refractive power and is made of glass. An object-side surface  212  thereof, which faces the object side, is a convex spherical surface, and an image-side surface  214  thereof, which faces the image side, is a concave spherical surface. 
     The second lens  220  has negative refractive power and is made of glass. An object-side surface  222  thereof, which faces the object side, is a concave spherical surface, and an image-side surface  224  thereof, which faces the image side, is a convex spherical surface. 
     The third lens  230  has positive refractive power and is made of glass. An object-side surface  232 , which faces the object side, is a convex spherical surface, and an image-side surface  234 , which faces the image side, is a convex spherical surface. 
     The fourth lens  240  has positive refractive power and is made of glass. An object-side surface  242 , which faces the object side, is a convex spherical surface, and an image-side surface  244 , which faces the image side, is a convex spherical surface. 
     The fifth lens  250  has positive refractive power and is made of glass. An object-side surface  252 , which faces the object side, is a convex spherical surface, and an image-side surface  254 , which faces the image side, is a convex spherical surface. 
     The sixth lens  260  has negative refractive power and is made of glass. An object-side surface  262 , which faces the object side, is a concave aspherical surface, and an image-side surface  264 , which faces the image side, is a concave aspherical surface. Whereby, the incident angle of each view field entering the sixth lens  260  could be effectively adjusted to improve aberration. 
     The seventh lens  270  has negative refractive power and is made of glass. An object-side surface  272 , which faces the object side, is a convex surface, and an image-side surface  274 , which faces the image side, is a convex surface. It may help to shorten the back focal length to keep small in size, and 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 is disposed between the seventh lens  270  and the image plane  290 . The infrared rays filter  280  gives no contribution to the focal length of the optical image capturing system  20 . 
     The parameters of the lenses of the second optical embodiment are listed in Table 3 and Table 4. 
     
       
         
           
               
             
               
                 TABLE 3 
               
             
            
               
                   
               
               
                 f = 4.7601 mm; f/HEP = 2.2; HAF = 95.98 deg 
               
            
           
           
               
               
               
               
               
               
               
            
               
                   
                 Radius of curvature 
                 Thickness 
                   
                 Refractive 
                 Abbe 
                 Focal length 
               
               
                 Surface 
                 (mm) 
                 (mm) 
                 Material 
                 index 
                 number 
                 (mm) 
               
               
                   
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                 0 
                 Object 
                 1E+18 
                 1E+18 
                   
                   
                   
                   
               
               
                 1 
                 1 st  lens 
                 47.71478323 
                 4.977 
                 glass 
                 2.001 
                 29.13 
                 −12.647 
               
               
                 2 
                   
                 9.527614761 
                 13.737 
               
               
                 3 
                 2 nd  lens 
                 −14.88061107 
                 5.000 
                 glass 
                 2.001 
                 29.13 
                 −99.541 
               
               
                 4 
                   
                 −20.42046946 
                 10.837 
               
               
                 5 
                 3 rd  lens 
                 182.4762997 
                 5.000 
                 glass 
                 1.847 
                 23.78 
                 44.046 
               
               
                 6 
                   
                 −46.71963608 
                 13.902 
               
               
                 7 
                 Aperture 
                 1E+18 
                 0.850 
               
               
                 8 
                 4 th  lens 
                 28.60018103 
                 4.095 
                 glass 
                 1.834 
                 37.35 
                 19.369 
               
               
                 9 
                   
                 −35.08507586 
                 0.323 
               
               
                 10 
                 5 th  lens 
                 18.25991342 
                 1.539 
                 glass 
                 1.609 
                 46.44 
                 20.223 
               
               
                 11 
                   
                 −36.99028878 
                 0.546 
               
               
                 12 
                 6 th  lens 
                 −18.24574524 
                 5.000 
                 glass 
                 2.002 
                 19.32 
                 −7.668 
               
               
                 13 
                   
                 15.33897192 
                 0.215 
               
               
                 14 
                 7 th  lens 
                 16.13218937 
                 4.933 
                 glass 
                 1.517 
                 64.20 
                 13.620 
               
               
                 15 
                   
                 −11.24007 
                 8.664 
               
               
                 16 
                 Infrared rays 
                 1E+18 
                 1.000 
                 BK_7 
                 1.517 
                 64.2 
               
               
                   
                 filter 
               
               
                 17 
                   
                 1E+18 
                 1.007 
               
               
                 18 
                 Image plane 
                 1E+18 
                 −0.007 
               
               
                   
               
               
                 Reference wavelength (d-line): 555 nm. 
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 4 
               
               
                   
               
               
                 Coefficients of the aspheric surfaces 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                 Surface 
                 1 
                 2 
                 3 
                 4 
                 5 
                 6 
                 8 
               
               
                   
               
               
                 k 
                 0.000000E+00 
                 0.000000E+00 
                 0.000000E+00 
                 0.000000E+00 
                 0.000000E+00 
                 0.000000E+00 
                 0.000000E+00 
               
               
                 A4 
                 0.000000E+00 
                 0.000000E+00 
                 0.000000E+00 
                 0.000000E+00 
                 0.000000E+00 
                 0.000000E+00 
                 0.000000E+00 
               
               
                 A6 
                 0.000000E+00 
                 0.000000E+00 
                 0.000000E+00 
                 0.000000E+00 
                 0.000000E+00 
                 0.000000E+00 
                 0.000000E+00 
               
               
                 A8 
                 0.000000E+00 
                 0.000000E+00 
                 0.000000E+00 
                 0.000000E+00 
                 0.000000E+00 
                 0.000000E+00 
                 0.000000E+00 
               
               
                 A10 
                 0.000000E+00 
                 0.000000E+00 
                 0.000000E+00 
                 0.000000E+00 
                 0.000000E+00 
                 0.000000E+00 
                 0.000000E+00 
               
               
                 A12 
                 0.000000E+00 
                 0.000000E+00 
                 0.000000E+00 
                 0.000000E+00 
                 0.000000E+00 
                 0.000000E+00 
                 0.000000E+00 
               
               
                   
               
               
                 Surface 
                 9 
                 10 
                 11 
                 12 
                 13 
                 14 
                 15 
               
               
                   
               
               
                 k 
                 0.000000E+00 
                 0.000000E+00 
                 0.000000E+00 
                 0.000000E+00 
                 0.000000E+00 
                 0.000000E+00 
                 0.000000E+00 
               
               
                 A4 
                 0.000000E+00 
                 0.000000E+00 
                 0.000000E+00 
                 0.000000E+00 
                 0.000000E+00 
                 0.000000E+00 
                 0.000000E+00 
               
               
                 A6 
                 0.000000E+00 
                 0.000000E+00 
                 0.000000E+00 
                 0.000000E+00 
                 0.000000E+00 
                 0.000000E+00 
                 0.000000E+00 
               
               
                 A8 
                 0.000000E+00 
                 0.000000E+00 
                 0.000000E+00 
                 0.000000E+00 
                 0.000000E+00 
                 0.000000E+00 
                 0.000000E+00 
               
               
                 A10 
                 0.000000E+00 
                 0.000000E+00 
                 0.000000E+00 
                 0.000000E+00 
                 0.000000E+00 
                 0.000000E+00 
                 0.000000E+00 
               
               
                 A12 
                 0.000000E+00 
                 0.000000E+00 
                 0.000000E+00 
                 0.000000E+00 
                 0.000000E+00 
                 0.000000E+00 
                 0.000000E+00 
               
               
                   
               
            
           
         
       
     
     An equation of the aspheric surfaces of the second optical embodiment is the same as that of the first optical embodiment, and the definitions are the same as well. 
     The exact parameters of the second optical embodiment based on Table 3 and Table 4 are listed in the following table: 
     
       
         
           
               
             
               
                   
               
               
                 Second optical embodiment (Reference wavelength: 555 nm) 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 |f/f1| 
                 |f/f2| 
                 |f/f3| 
                 |f/f4| 
                 |f/f5| 
                 |f/f6| 
               
               
                 0.3764 
                 0.0478 
                 0.1081 
                 0.2458 
                 0.2354 
                 0.6208 
               
               
                 |f/f7| 
                 ΣPPR 
                 ΣNPR 
                 ΣPPR/|ΣNPR| 
                 IN12/f 
                 IN67/f 
               
               
                 0.3495 
                 1.3510 
                 0.6327 
                 2.1352 
                 2.8858 
                 0.0451 
               
            
           
           
               
               
               
               
            
               
                 |f1/f2| 
                 |f2/f3| 
                 (TP1 + IN12)/TP2 
                 (TP7 + IN67)/TP6 
               
               
                 0.1271 
                 2.2599 
                 3.7428 
                 1.0296 
               
            
           
           
               
               
               
               
               
               
            
               
                 HOS 
                 InTL 
                 HOS/HOI 
                 InS/HOS 
                 ODT % 
                 TDT % 
               
               
                 81.6178  
                 70.9539  
                 13.6030  
                 0.3451 
                 −113.2790   
                 84.4806  
               
               
                 HVT11 
                 HVT12 
                 HVT21 
                 HVT22 
                 HVT31 
                 HVT32 
               
               
                 0.0000 
                 0.0000 
                 0.0000 
                 0.0000 
                 0.0000 
                 0.0000 
               
               
                 HVT61 
                 HVT62 
                 HVT71 
                 HVT72 
                 HVT72/HOI 
                 HVT72/HOS 
               
               
                 0.0000 
                 0.0000 
                 0.0000 
                 0.0000 
                 0.0000 
                 0.0000 
               
               
                 PhiA 
                   
                   
                   
                   
                 HOI 
               
               
                 11.962 mm 
                   
                   
                   
                   
                    6 mm 
               
               
                   
                   
                   
                   
                   
                 InTL/HOS 
               
               
                   
                   
                   
                   
                   
                 0.8693 
               
               
                 PSTA 
                 PLTA 
                 NSTA 
                 NLTA 
                 SSTA 
                 SLTA 
               
               
                  0.060 mm 
                 −0.005 mm 
                 0.016 mm 
                 0.006 mm 
                 0.020 mm 
                 −0.008 mm 
               
               
                   
               
            
           
         
       
     
     The figures related to the profile curve lengths obtained based on Table 3 and Table 4 are listed in the following table: 
     
       
         
           
               
             
               
                   
               
               
                 Second optical embodiment (Reference wavelength: 555 nm) 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
               
            
               
                 ARE 
                 ½(HEP) 
                 ARE value 
                 ARE − ½(HEP) 
                 2(ARE/HEP) % 
                 TP 
                 ARE/TP (%) 
               
               
                   
               
               
                 11 
                 1.082 
                 1.081 
                 −0.00075 
                 99.93% 
                 4.977 
                 21.72% 
               
               
                 12 
                 1.082 
                 1.083 
                 0.00149 
                 100.14% 
                 4.977 
                 21.77% 
               
               
                 21 
                 1.082 
                 1.082 
                 0.00011 
                 100.01% 
                 5.000 
                 21.64% 
               
               
                 22 
                 1.082 
                 1.082 
                 −0.00034 
                 99.97% 
                 5.000 
                 21.63% 
               
               
                 31 
                 1.082 
                 1.081 
                 −0.00084 
                 99.92% 
                 5.000 
                 21.62% 
               
               
                 32 
                 1.082 
                 1.081 
                 −0.00075 
                 99.93% 
                 5.000 
                 21.62% 
               
               
                 41 
                 1.082 
                 1.081 
                 −0.00059 
                 99.95% 
                 4.095 
                 26.41% 
               
               
                 42 
                 1.082 
                 1.081 
                 −0.00067 
                 99.94% 
                 4.095 
                 26.40% 
               
               
                 51 
                 1.082 
                 1.082 
                 −0.00021 
                 99.98% 
                 1.539 
                 70.28% 
               
               
                 52 
                 1.082 
                 1.081 
                 −0.00069 
                 99.94% 
                 1.539 
                 70.25% 
               
               
                 61 
                 1.082 
                 1.082 
                 −0.00021 
                 99.98% 
                 5.000 
                 21.63% 
               
               
                 62 
                 1.082 
                 1.082 
                 0.00005 
                 100.00% 
                 5.000 
                 21.64% 
               
               
                 71 
                 1.082 
                 1.082 
                 −0.00003 
                 100.00% 
                 4.933 
                 21.93% 
               
               
                 72 
                 1.082 
                 1.083 
                 0.00083 
                 100.08% 
                 4.933 
                 21.95% 
               
               
                   
               
               
                 ARS 
                 EHD 
                 ARS value 
                 ARS − EHD 
                 (ARS/EHD)% 
                 TP 
                 ARS/TP (%) 
               
               
                   
               
               
                 11 
                 20.767  
                 21.486 
                 0.719 
                 103.46% 
                 4.977 
                 431.68% 
               
               
                 12 
                 9.412 
                 13.474 
                 4.062 
                 143.16% 
                 4.977 
                 270.71% 
               
               
                 21 
                 8.636 
                 9.212 
                 0.577 
                 106.68% 
                 5.000 
                 184.25% 
               
               
                 22 
                 9.838 
                 10.264 
                 0.426 
                 104.33% 
                 5.000 
                 205.27% 
               
               
                 31 
                 8.770 
                 8.772 
                 0.003 
                 100.03% 
                 5.000 
                 175.45% 
               
               
                 32 
                 8.511 
                 8.558 
                 0.047 
                 100.55% 
                 5.000 
                 171.16% 
               
               
                 41 
                 4.600 
                 4.619 
                 0.019 
                 100.42% 
                 4.095 
                 112.80% 
               
               
                 42 
                 4.965 
                 4.981 
                 0.016 
                 100.32% 
                 4.095 
                 121.64% 
               
               
                 51 
                 5.075 
                 5.143 
                 0.067 
                 101.33% 
                 1.539 
                 334.15% 
               
               
                 52 
                 5.047 
                 5.062 
                 0.015 
                 100.30% 
                 1.539 
                 328.89% 
               
               
                 61 
                 5.011 
                 5.075 
                 0.064 
                 101.28% 
                 5.000 
                 101.50% 
               
               
                 62 
                 5.373 
                 5.489 
                 0.116 
                 102.16% 
                 5.000 
                 109.79% 
               
               
                 71 
                 5.513 
                 5.625 
                 0.112 
                 102.04% 
                 4.933 
                 114.03% 
               
               
                 72 
                 5.981 
                 6.307 
                 0.326 
                 105.44% 
                 4.933 
                 127.84% 
               
               
                   
               
            
           
         
       
     
     The results of the equations of the second optical embodiment based on Table 3 and Table 4 are listed in the following table: 
     
       
         
           
               
             
               
                   
               
               
                 Values related to the inflection points of the second optical embodiment 
               
               
                 (Reference wavelength: 555 nm) 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                 HIF111 
                 0 
                 HIF111/HOI 
                 0 
                 SGI111 
                 0 
                 |SGI111|/ 
                 0 
               
               
                   
                   
                   
                   
                   
                   
                 (|SGI111| + TP1) 
               
               
                   
               
            
           
         
       
     
     [Third Optical Embodiment] 
     As shown in  FIG.  4 A  and  FIG.  4 B , an optical image capturing system  30  of the third optical embodiment of the present invention includes, along an optical axis from an object side to an image side, a first lens  310 , a second lens  320 , a third lens  330 , an aperture  300 , 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 . 
     The first lens  310  has negative refractive power and is made of glass. An object-side surface  312  thereof, which faces the object side, is a convex spherical surface, and an image-side surface  314  thereof, which faces the image side, is a concave spherical surface. 
     The second lens  320  has negative refractive power and is made of glass. An object-side surface  322  thereof, which faces the object side, is a concave spherical surface, and an image-side surface  324  thereof, which faces the image side, is a convex spherical surface. 
     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 convex aspheric surface, and an image-side surface  334  thereof, which faces the image side, is a convex aspheric surface. The image-side surface  334  has an inflection point. 
     The fourth lens  340  has negative refractive power and is made of plastic. An object-side surface  342 , which faces the object side, is a concave aspheric surface, and an image-side surface  344 , which faces the image side, is a concave aspheric surface. The image-side surface  344  has an inflection point. 
     The fifth lens  350  has positive refractive power and is made of plastic. An object-side surface  352 , which faces the object side, is a convex aspheric surface, and an image-side surface  354 , which faces the image side, is a convex aspheric surface. 
     The sixth lens  360  has negative refractive power and is made of plastic. An object-side surface  362 , which faces the object side, is a convex aspheric surface, and an image-side surface  364 , which faces the image side, is a concave aspheric surface. The object-side surface  362  has an inflection point, and the image-side surface  364  has an inflection point. It may help to shorten the back focal length to keep small in size. Whereby, the incident angle of each view field entering the sixth lens  360  could be effectively adjusted to improve aberration. 
     The infrared rays filter  380  is made of glass and is disposed between the sixth lens  360  and the image plane  390 . The infrared rays filter  390  gives no contribution to the focal length of the optical image capturing system  30 . 
     The parameters of the lenses of the third optical embodiment 30 are listed in Table 5 and Table 6. 
     
       
         
           
               
             
               
                 TABLE 5 
               
             
            
               
                   
               
               
                 f = 2.808 mm; f/HEP = 1.6; HAF = 100 deg 
               
            
           
           
               
               
               
               
               
               
               
            
               
                   
                 Radius of curvature 
                 Thickness 
                   
                 Refractive 
                 Abbe 
                 Focal length 
               
               
                 Surface 
                 (mm) 
                 (mm) 
                 Material 
                 index 
                 number 
                 (mm) 
               
               
                   
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                 0 
                 Object 
                 1E+18 
                 1E+18 
                   
                   
                   
                   
               
               
                 1 
                 1 st  lens 
                 71.398124 
                 7.214 
                 Glass 
                 1.702 
                 41.15 
                 −11.765 
               
               
                 2 
                   
                 7.117272355 
                 5.788 
               
               
                 3 
                 2 nd  lens 
                 −13.29213699 
                 10.000 
                 Glass 
                 2.003 
                 19.32 
                 −4537.460 
               
               
                 4 
                   
                 −18.37509887 
                 7.005 
               
               
                 5 
                 3 rd  lens 
                 5.039114804 
                 1.398 
                 Plastic 
                 1.514 
                 56.80 
                 7.553 
               
               
                 6 
                   
                 −15.53136631 
                 −0.140 
               
               
                 7 
                 Aperture 
                 1E+18 
                 2.378 
               
               
                 8 
                 4 th  lens 
                 −18.68613609 
                 0.577 
                 Plastic 
                 1.661 
                 20.40 
                 −4.978 
               
               
                 9 
                   
                 4.086545927 
                 0.141 
               
               
                 10 
                 5 th  lens 
                 4.927609282 
                 2.974 
                 Plastic 
                 1.565 
                 58.00 
                 4.709 
               
               
                 11 
                   
                 −4.551946605 
                 1.389 
               
               
                 12 
                 6 th  lens 
                 9.184876531 
                 1.916 
                 Plastic 
                 1.514 
                 56.80 
                 −23.405 
               
               
                 13 
                   
                 4.845500046 
                 0.800 
               
               
                 14 
                 Infrared rays 
                 1E+18 
                 0.500 
                 BK_7 
                 1.517 
                 64.13 
               
               
                   
                 filter 
               
               
                 15 
                   
                 1E+18 
                 0.371 
               
               
                 16 
                 Image plane 
                 1E+18 
                 0.005 
               
               
                   
               
               
                 Reference wavelength (d-line): 555 nm. 
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 6 
               
               
                   
               
               
                 Coefficients of the aspheric surfaces 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                 Surface 
                 1 
                 2 
                 3 
                 4 
                 5 
                 6 
                 8 
               
               
                   
               
               
                 k 
                 0.000000E+00 
                 0.000000E+00 
                 0.000000E+00 
                 0.000000E+00 
                 1.318519E−01 
                 3.120384E+00 
                 −1.494442E+01 
               
               
                 A4 
                 0.000000E+00 
                 0.000000E+00 
                 0.000000E+00 
                 0.000000E+00 
                 6.405246E−05 
                 2.103942E−03 
                 −1.598286E−03 
               
               
                 A6 
                 0.000000E+00 
                 0.000000E+00 
                 0.000000E+00 
                 0.000000E+00 
                 2.278341E−05 
                 −1.050629E−04  
                 −9.177115E−04 
               
               
                 A8 
                 0.000000E+00 
                 0.000000E+00 
                 0.000000E+00 
                 0.000000E+00 
                 −3.672908E−06  
                 6.168906E−06 
                  1.011405E−04 
               
               
                 A10 
                 0.000000E+00 
                 0.000000E+00 
                 0.000000E+00 
                 0.000000E+00 
                 3.748457E−07 
                 −1.224682E−07  
                 −4.919835E−06 
               
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 Surface 
                 9 
                 10 
                 11 
                 12 
                 13 
               
               
                   
               
               
                 k 
                 2.744228E−02 
                 −7.864013E+00  
                 −2.263702E+00 
                 −4.206923E+01 
                 −7.030803E+00 
               
               
                 A4 
                 −7.291825E−03  
                 1.405243E−04 
                 −3.919567E−03 
                 −1.679499E−03 
                 −2.640099E−03 
               
               
                 A6 
                 9.730714E−05 
                 1.837602E−04 
                  2.683449E−04 
                 −3.518520E−04 
                 −4.507651E−05 
               
               
                 A8 
                 1.101816E−06 
                 −2.173368E−05  
                 −1.229452E−05 
                  5.047353E−05 
                 −2.600391E−05 
               
               
                 A10 
                 −6.849076E−07  
                 7.328496E−07 
                  4.222621E−07 
                 −3.851055E−06 
                  1.161811E−06 
               
               
                   
               
            
           
         
       
     
     An equation of the aspheric surfaces of the third optical embodiment is the same as that of the first optical embodiment, and the definitions are the same as well. 
     The exact parameters of the third optical embodiment based on Table 5 and Table 6 are listed in the following table: 
     
       
         
           
               
             
               
                   
               
               
                 Third optical embodiment (Reference wavelength: 555 nm) 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 |f/f1| 
                 |f/f2| 
                 |f/f3| 
                 |f/f4| 
                 |f/f5| 
                 |f/f6| 
               
               
                 0.23865 
                 0.00062 
                 0.37172 
                 0.56396 
                 0.59621 
                 0.11996 
               
               
                 ΣPPR 
                 ΣNPR 
                 ΣPPR/|ΣNPR| 
                 IN12/f 
                 IN56/f 
                 TP4/(IN34 + TP4 + IN45) 
               
               
                 1.77054 
                 0.12058 
                 14.68400  
                 2.06169 
                 0.49464 
                 0.19512 
               
            
           
           
               
               
               
               
            
               
                 |f1/f2| 
                 |f2/f3| 
                 (TP1 + IN12)/TP2 
                 (TP6 + IN56)/TP5 
               
               
                 0.00259 
                 600.74778  
                 1.30023 
                 1.11131 
               
            
           
           
               
               
               
               
               
               
            
               
                 HOS 
                 InTL 
                 HOS/HOI 
                 InS/HOS 
                 ODT % 
                 TDT % 
               
               
                 42.31580  
                 40.63970  
                 10.57895  
                 0.26115 
                 −122.32700   
                 93.33510  
               
               
                 HVT51 
                 HVT52 
                 HVT61 
                 HVT62 
                 HVT62/HOI 
                 HVT62/HOS 
               
               
                 0     
                 0     
                 2.22299 
                 2.60561 
                 0.65140 
                 0.06158 
               
               
                 TP2/TP3 
                 TP3/TP4 
                 InRS61 
                 InRS62 
                 |InRS61|/TP6 
                 |InRS62|/TP6 
               
               
                 7.15374 
                 2.42321 
                 −0.20807  
                 −0.24978  
                 0.10861 
                 0.13038 
               
               
                 PhiA 
                   
                   
                   
                   
                 HOI 
               
               
                 6.150 mm 
                   
                   
                   
                   
                    4 mm 
               
               
                   
                   
                   
                   
                   
                 InTL/HOS 
               
               
                   
                   
                   
                   
                   
                 0.9604  
               
               
                 PSTA 
                 PLTA 
                 NSTA 
                 NLTA 
                 SSTA 
                 SLTA 
               
               
                 0.014 mm 
                 0.002 mm 
                 −0.003 mm 
                 −0.002 mm 
                 0.011 mm 
                 −0.001 mm 
               
               
                   
               
            
           
         
       
     
     The figures related to the profile curve lengths obtained based on Table 5 and Table 6 are listed in the following table: 
     
       
         
           
               
             
               
                   
               
               
                 Third optical embodiment (Reference wavelength: 555 nm) 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
               
            
               
                 ARE 
                 ½(HEP) 
                 ARE value 
                 ARE − ½(HEP) 
                 2(ARE/HEP) % 
                 TP 
                 ARE/TP (%) 
               
               
                   
               
               
                 11 
                 0.877 
                 0.877 
                 −0.00036  
                  99.96% 
                 7.214 
                 12.16% 
               
               
                 12 
                 0.877 
                 0.879 
                 0.00186 
                 100.21% 
                 7.214 
                 12.19% 
               
               
                 21 
                 0.877 
                 0.878 
                 0.00026 
                 100.03% 
                 10.000 
                 8.78% 
               
               
                 22 
                 0.877 
                 0.877 
                 −0.00004  
                 100.00% 
                 10.000 
                 8.77% 
               
               
                 31 
                 0.877 
                 0.882 
                 0.00413 
                 100.47% 
                 1.398 
                 63.06% 
               
               
                 32 
                 0.877 
                 0.877 
                 0.00004 
                 100.00% 
                 1.398 
                 62.77% 
               
               
                 41 
                 0.877 
                 0.877 
                 −0.00001  
                 100.00% 
                 0.577 
                 152.09% 
               
               
                 42 
                 0.877 
                 0.883 
                 0.00579 
                 100.66% 
                 0.577 
                 153.10% 
               
               
                 51 
                 0.877 
                 0.881 
                 0.00373 
                 100.43% 
                 2.974 
                 29.63% 
               
               
                 52 
                 0.877 
                 0.883 
                 0.00521 
                 100.59% 
                 2.974 
                 29.68% 
               
               
                 61 
                 0.877 
                 0.878 
                 0.00064 
                 100.07% 
                 1.916 
                 45.83% 
               
               
                 62 
                 0.877 
                 0.881 
                 0.00368 
                 100.42% 
                 1.916 
                 45.99% 
               
               
                   
               
               
                 ARS 
                 EHD 
                 ARS value 
                 ARS − EHD 
                 (ARS/EHD)% 
                 TP 
                 ARS/TP (%) 
               
               
                   
               
               
                 11 
                 17.443  
                 17.620  
                 0.178 
                 101.02% 
                 7.214 
                 244.25% 
               
               
                 12 
                 6.428 
                 8.019 
                 1.592 
                 124.76% 
                 7.214 
                 111.16% 
               
               
                 21 
                 6.318 
                 6.584 
                 0.266 
                 104.20% 
                 10.000 
                 65.84% 
               
               
                 22 
                 6.340 
                 6.472 
                 0.132 
                 102.08% 
                 10.000 
                 64.72% 
               
               
                 31 
                 2.699 
                 2.857 
                 0.158 
                 105.84% 
                 1.398 
                 204.38% 
               
               
                 32 
                 2.476 
                 2.481 
                 0.005 
                 100.18% 
                 1.398 
                 177.46% 
               
               
                 41 
                 2.601 
                 2.652 
                 0.051 
                 101.96% 
                 0.577 
                 459.78% 
               
               
                 42 
                 3.006 
                 3.119 
                 0.113 
                 103.75% 
                 0.577 
                 540.61% 
               
               
                 51 
                 3.075 
                 3.171 
                 0.096 
                 103.13% 
                 2.974 
                 106.65% 
               
               
                 52 
                 3.317 
                 3.624 
                 0.307 
                 109.24% 
                 2.974 
                 121.88% 
               
               
                 61 
                 3.331 
                 3.427 
                 0.095 
                 102.86% 
                 1.916 
                 178.88% 
               
               
                 62 
                 3.944 
                 4.160 
                 0.215 
                 105.46% 
                 1.916 
                 217.14% 
               
               
                   
               
            
           
         
       
     
     The results of the equations of the third optical embodiment based on Table 5 and Table 6 are listed in the following table: 
     
       
         
           
               
             
               
                   
               
               
                 Values related to the inflection points of the third optical embodiment 
               
               
                 (Reference wavelength: 555 nm) 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                 HIF321 
                 2.0367 
                 HIF321/HOI 
                 0.5092 
                 SGI321 
                 −0.1056 
                 |SGI321|/(|SGI321| + TP3) 
                 0.0702 
               
               
                 HIF421 
                 2.4635 
                 HIF421/HOI 
                 0.6159 
                 SGI421 
                 0.5780 
                 |SGI421|/(|SGI421| + TP4) 
                 0.5005 
               
               
                 HIF611 
                 1.2364 
                 HIF611/HOI 
                 0.3091 
                 SGI611 
                 0.0668 
                 |SGI611|/(|SGI611| + TP6) 
                 0.0337 
               
               
                 HIF621 
                 1.5488 
                 HIF621/HOI 
                 0.3872 
                 SGI621 
                 0.2014 
                 |SGI621|/(|SGI621| + TP6) 
                 0.0951 
               
               
                   
               
            
           
         
       
     
     [Fourth Optical Embodiment] 
     As shown in  FIG.  5 A  and  FIG.  51 B , an optical image capturing system  40  of the fourth optical embodiment of the present invention includes, along an optical axis from an object side to an image side, a first lens  410 , a second lens  420 , a third lens  430 , an aperture  400 , a fourth lens  440 , a fifth lens  450 , an infrared rays filter  480 , an image plane  490 , and an image sensor  492 . 
     The first lens  410  has negative refractive power and is made of glass. An object-side surface  412  thereof, which faces the object side, is a convex spherical surface, and an image-side surface  414  thereof, which faces the image side, is a concave spherical 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 concave 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 convex aspheric surface, and an image-side surface  434  thereof, which faces the image side, is a convex aspheric surface. The object-side surface  432  has an inflection point. 
     The fourth lens  440  has positive refractive power and is made of plastic. An object-side surface  442 , which faces the object side, is a convex aspheric surface, and an image-side surface  444 , which faces the image side, is a convex aspheric surface. The object-side surface  442  has an inflection point. 
     The fifth lens  450  has negative refractive power and is made of plastic. An object-side surface  452 , which faces the object side, is a concave aspheric surface, and an image-side surface  454 , which faces the image side, is a concave aspheric surface. The object-side surface  452  has two inflection points. It may help to shorten the back focal length to keep small in size. 
     The infrared rays filter  480  is made of glass and is disposed between the fifth lens  450  and the image plane  490 . The infrared rays filter  480  gives no contribution to the focal length of the optical image capturing system  40 . 
     The parameters of the lenses of the fourth optical embodiment are listed in Table 7 and Table 8. 
     
       
         
           
               
             
               
                 TABLE 7 
               
             
            
               
                   
               
               
                 f = 2.7883 mm; f/HEP = 1.8; HAF = 101 deg 
               
            
           
           
               
               
               
               
               
               
               
            
               
                   
                 Radius of curvature 
                 Thickness 
                   
                 Refractive 
                 Abbe 
                 Focal length 
               
               
                 Surface 
                 (mm) 
                 (mm) 
                 Material 
                 index 
                 number 
                 (mm) 
               
               
                   
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                 0 
                 Object 
                 1E+18 
                 1E+18 
                   
                   
                   
                   
               
               
                 1 
                 1 st  lens 
                 76.84219 
                 6.117399 
                 glass 
                 1.497 
                 81.61 
                 −31.322 
               
               
                 2 
                   
                 12.62555 
                 5.924382 
               
               
                 3 
                 2 nd  lens 
                 −37.0327 
                 3.429817 
                 plastic 
                 1.565 
                 54.5 
                 −8.70843 
               
               
                 4 
                   
                 5.88556 
                 5.305191 
               
               
                 5 
                 3 rd  lens 
                 17.99395 
                 14.79391 
                 plastic 
                 1.565 
                 58 
                 9.94787 
               
               
                 6 
                   
                 −5.76903 
                 −0.4855 
               
               
                 7 
                 Aperture 
                 1E+18 
                 0.535498 
               
               
                 8 
                 4 th  lens 
                 8.19404 
                 4.011739 
                 plastic 
                 1.565 
                 58 
                 5.24898 
               
               
                 9 
                   
                 −3.84363 
                 0.050366 
               
               
                 10 
                 5 th  lens 
                 −4.34991 
                 2.088275 
                 plastic 
                 1.661 
                 20.4 
                 −4.97515 
               
               
                 11 
                   
                 16.6609 
                 0.6 
               
               
                 12 
                 Infrared rays 
                 1E+18 
                 0.5 
                 BK_7 
                 1.517 
                 64.13 
               
               
                   
                 filter 
               
               
                 13 
                   
                 1E+18 
                 3.254927 
               
               
                 14 
                 Image plane 
                 1E+18 
                 −0.00013 
               
               
                   
               
               
                 Reference wavelength (d-line): 555 nm. 
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 8 
               
               
                   
               
               
                 Coefficients of the aspheric surfaces 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                 Surface 
                 1 
                 2 
                 3 
                 4 
                 5 
                 6 
                 8 
               
               
                   
               
               
                 k 
                 0.000000E+00 
                 0.000000E+00 
                 0.131249 
                 −0.069541 
                 −0.324555 
                 0.009216 
                 −0.292346 
               
               
                 A4 
                 0.000000E+00 
                 0.000000E+00 
                 3.99823E−05 
                 −8.55712E−04 
                 −9.07093E−04 
                 8.80963E−04 
                 −1.02138E−03 
               
               
                 A6 
                 0.000000E+00 
                 0.000000E+00 
                 9.03636E−08 
                 −1.96175E−06 
                 −1.02465E−05 
                 3.14497E−05 
                 −1.18559E−04 
               
               
                 A8 
                 0.000000E+00 
                 0.000000E+00 
                 1.91025E−09 
                 −1.39344E−08 
                 −8.18157E−08 
                 −3.15863E−06  
                  1.34404E−05 
               
               
                 A10 
                 0.000000E+00 
                 0.000000E+00 
                 −1.18567E−11  
                 −4.17090E−09 
                 −2.42621E−09 
                 1.44613E−07 
                 −2.80681E−06 
               
               
                 A12 
                 0.000000E+00 
                 0.000000E+00 
                 0.000000E+00  
                 0.000000E+00 
                 0.000000E+00 
                 0.000000E+00  
                 0.000000E+00 
               
               
                   
               
            
           
           
               
               
               
               
               
            
               
                   
                 Surface 
                 9 
                 10 
                 11 
               
               
                   
                   
               
               
                   
                 k 
                 −0.18604 
                 −6.17195 
                 27.541383 
               
               
                   
                 A4 
                 4.33629E−03 
                  1.58379E−03 
                  7.56932E−03 
               
               
                   
                 A6 
                 −2.91588E−04  
                 −1.81549E−04 
                 −7.83858E−04 
               
               
                   
                 A8 
                 9.11419E−06 
                 −1.18213E−05 
                  4.79120E−05 
               
               
                   
                 A10 
                 1.28365E−07 
                  1.92716E−06 
                 −1.73591E−06 
               
               
                   
                 A12 
                 0.000000E+00  
                 0.000000E+00 
                 0.000000E+00 
               
               
                   
                   
               
            
           
         
       
     
     An equation of the aspheric surfaces of the fourth optical embodiment is the same as that of the first optical embodiment, and the definitions are the same as well. 
     The exact parameters of the fourth optical embodiment based on Table 7 and Table 8 are listed in the following table: 
     
       
         
           
               
             
               
                   
               
               
                 Fourth optical embodiment (Reference wavelength: 555 nm) 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 |f/f1| 
                 |f/f2| 
                 |f/f3| 
                 |f/f4| 
                 |f/f5| 
                 |f1/f2| 
               
               
                 0.08902 
                 0.32019 
                 0.28029 
                 0.53121 
                 0.56045 
                 3.59674 
               
               
                 ΣPPR 
                 ΣNPR 
                 ΣPPR/|ΣNPR| 
                 IN12/f 
                 IN45/f 
                 |f2/f3| 
               
               
                 1.4118  
                 0.3693  
                 3.8229  
                 2.1247  
                 0.0181  
                 0.8754  
               
            
           
           
               
               
               
            
               
                 TP3/(IN23 + TP3 + IN34) 
                 (TP1 + IN12)/TP2 
                 (TP5 + IN45)/TP4 
               
               
                 0.73422 
                 3.51091 
                 0.53309 
               
            
           
           
               
               
               
               
               
               
            
               
                 HOS 
                 InTL 
                 HOS/HOI 
                 InS/HOS 
                 ODT % 
                 TDT % 
               
               
                 46.12590  
                 41.77110  
                 11.53148  
                 0.23936 
                 −125.266    
                 99.1671  
               
               
                 HVT41 
                 HVT42 
                 HVT51 
                 HVT52 
                 HVT52/HOI 
                 HVT52/HOS 
               
               
                 0.00000 
                 0.00000 
                 0.00000 
                 0.00000 
                 0.00000 
                 0.00000 
               
               
                 TP2/TP3 
                 TP3/TP4 
                 InRS51 
                 InRS52 
                 |InRS51|/TP5 
                 |InRS52|/TP5 
               
               
                 0.23184 
                 3.68765 
                 −0.679265 
                 0.5369  
                 0.32528 
                 0.25710 
               
               
                 PhiA 
                   
                   
                   
                   
                 HOI 
               
               
                 5.598 mm 
                   
                   
                   
                   
                     4 mm 
               
               
                   
                   
                   
                   
                   
                 InTL/HOS 
               
               
                   
                   
                   
                   
                   
                 0.9056  
               
               
                 PSTA 
                 PLTA 
                 NSTA 
                 NLTA 
                 SSTA 
                 SLTA 
               
               
                 −0.011 mm 
                 0.005 mm 
                 −0.010 mm 
                 −0.003 mm 
                 0.005 mm 
                 −0.00026 mm 
               
               
                   
               
            
           
         
       
     
     The figures related to the profile curve lengths obtained based on Table 7 and Table 8 are listed in the following table: 
     
       
         
           
               
             
               
                   
               
               
                 Fourth optical embodiment (Reference wavelength: 555 nm) 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
               
            
               
                 ARE 
                 ½(HEP) 
                 ARE value 
                 ARE − ½(HEP) 
                 2(ARE/HEP) % 
                 TP 
                 ARE/TP (%) 
               
               
                   
               
               
                 11 
                 0.775 
                 0.774 
                 −0.00052 
                 99.93% 
                 6.117 
                 12.65% 
               
               
                 12 
                 0.775 
                 0.774 
                 −0.00005 
                 99.99% 
                 6.117 
                 12.66% 
               
               
                 21 
                 0.775 
                 0.774 
                 −0.00048 
                 99.94% 
                 3.430 
                 22.57% 
               
               
                 22 
                 0.775 
                 0.776 
                 0.00168 
                 100.22% 
                 3.430 
                 22.63% 
               
               
                 31 
                 0.775 
                 0.774 
                 −0.00031 
                 99.96% 
                 14.794 
                 5.23% 
               
               
                 32 
                 0.775 
                 0.776 
                 0.00177 
                 100.23% 
                 14.794 
                 5.25% 
               
               
                 41 
                 0.775 
                 0.775 
                 0.00059 
                 100.08% 
                 4.012 
                 19.32% 
               
               
                 42 
                 0.775 
                 0.779 
                 0.00453 
                 100.59% 
                 4.012 
                 19.42% 
               
               
                 51 
                 0.775 
                 0.778 
                 0.00311 
                 100.40% 
                 2.088 
                 37.24% 
               
               
                 52 
                 0.775 
                 0.774 
                 −0.00014 
                 99.98% 
                 2.088 
                 37.08% 
               
               
                   
               
               
                 ARS 
                 EHD 
                 ARS value 
                 ARS − EHD 
                 (ARS/EHD)% 
                 TP 
                 ARS/TP (%) 
               
               
                   
               
               
                 11 
                 23.038 
                 23.397 
                 0.359 
                 101.56% 
                 6.117 
                 382.46% 
               
               
                 12 
                 10.140 
                 11.772 
                 1.632 
                 116.10% 
                 6.117 
                 192.44% 
               
               
                 21 
                 10.138 
                 10.178 
                 0.039 
                 100.39% 
                 3.430 
                 296.74% 
               
               
                 22 
                 5.537 
                 6.337 
                 0.800 
                 114.44% 
                 3.430 
                 184.76% 
               
               
                 31 
                 4.490 
                 4.502 
                 0.012 
                 100.27% 
                 14.794 
                 30.43% 
               
               
                 32 
                 2.544 
                 2.620 
                 0.076 
                 102.97% 
                 14.794 
                 17.71% 
               
               
                 41 
                 2.735 
                 2.759 
                 0.024 
                 100.89% 
                 4.012 
                 68.77% 
               
               
                 42 
                 3.123 
                 3.449 
                 0.326 
                 110.43% 
                 4.012 
                 85.97% 
               
               
                 51 
                 2.934 
                 3.023 
                 0.089 
                 103.04% 
                 2.088 
                 144.74% 
               
               
                 52 
                 2.799 
                 2.883 
                 0.084 
                 103.00% 
                 2.088 
                 138.08% 
               
               
                   
               
            
           
         
       
     
     The results of the equations of the fourth optical embodiment based on Table 7 and Table 8 are listed in the following table: 
     
       
         
           
               
             
               
                   
               
               
                 Values related to the inflection points of the fourth optical embodiment 
               
               
                 (Reference wavelength: 555 nm) 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                 HIF211 
                 6.3902 
                 HIF211/HOI 
                 1.5976 
                 SGI211 
                 −0.4793 
                 |SGI211|/(|SGI211| + TP2) 
                 0.1226 
               
               
                 HIF311 
                 2.1324 
                 HIF311/HOI 
                 0.5331 
                 SGI311 
                 0.1069 
                 |SGI311|/(|SGI311| + TP3) 
                 0.0072 
               
               
                 HIF411 
                 2.0278 
                 HIF411/HOI 
                 0.5070 
                 SGI411 
                 0.2287 
                 |SGI411|/(|SGI411| + TP4) 
                 0.0539 
               
               
                 HIF511 
                 2.6253 
                 HIF511/HOI 
                 0.6563 
                 SGI511 
                 −0.5681 
                 |SGI511|/(|SGI511| + TP5) 
                 0.2139 
               
               
                 HIF512 
                 2.1521 
                 HIF512/HOI 
                 0.5380 
                 SGI512 
                 −0.8314 
                 |SGI512|/(|SGI512| + TP5) 
                 0.2848 
               
               
                   
               
            
           
         
       
     
     [Fifth Optical Embodiment] 
     As shown in  FIG.  6 A  and  FIG.  6 B , an optical image capturing system  50  of the fifth optical embodiment of the present invention includes, along an optical axis from an object side to an image side, an aperture  500 , a first lens  510 , a second lens  520 , a third lens  530 , a fourth lens  540 , an infrared rays filter  570 , an image plane  580 , and an image sensor  590 . 
     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 convex aspheric surface. The object-side surface  512  has an inflection point. 
     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  has two inflection points, and the image-side surface  524  has an inflection point. 
     The third lens  530  has positive refractive power and is made of plastic. An object-side surface  532 , which faces the object side, is a concave aspheric surface, and an image-side surface  534 , which faces the image side, is a convex aspheric surface. The object-side surface  532  has three inflection points, and the image-side surface  534  has an inflection point. 
     The fourth lens  540  has negative refractive power and is made of plastic. An object-side surface  542 , which faces the object side, is a concave aspheric surface, and an image-side surface  544 , which faces the image side, is a concave aspheric surface. The object-side surface  542  has two inflection points, and the image-side surface  544  has an inflection point. 
     The infrared rays filter  570  is made of glass and is disposed between the fourth lens  540  and the image plane  580 . The infrared rays filter  570  gives no contribution to the focal length of the optical image capturing system  50 . 
     The parameters of the lenses of the fifth optical embodiment are listed in Table 9 and Table 10. 
     
       
         
           
               
             
               
                 TABLE 9 
               
             
            
               
                   
               
               
                 f = 1.04102 mm; f/HEP = 1.4; HAF = 44.0346 deg 
               
            
           
           
               
               
               
               
               
               
               
            
               
                   
                 Radius of curvature 
                 Thickness 
                   
                 Refractive 
                 Abbe 
                 Focal length 
               
               
                 Surface 
                 (mm) 
                 (mm) 
                 Material 
                 index 
                 number 
                 (mm) 
               
               
                   
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                 0 
                 Object 
                 1E+18 
                 600 
                   
                   
                   
                   
               
               
                 1 
                 Aperture 
                 1E+18 
                 −0.020 
               
               
                 2 
                 1 st  lens 
                 0.890166851 
                 0.210 
                 plastic 
                 1.545 
                 55.96 
                 1.587 
               
               
                 3 
                   
                 −29.11040115 
                 −0.010 
               
               
                 4 
                 2 nd  lens 
                 10.67765398 
                 0.170 
                 plastic 
                 1.642 
                 22.46 
                 −14.569 
               
               
                 5 
                   
                 4.977771922 
                 0.049 
               
               
                 6 
                 3 rd  lens 
                 −1.191436932 
                 0.349 
                 plastic 
                 1.545 
                 55.96 
                 0.510 
               
               
                 7 
                   
                 −0.248990674 
                 0.030 
               
               
                 8 
                 4 th  lens 
                 −38.08537212 
                 0.176 
                 plastic 
                 1.642 
                 22.46 
                 −0.569 
               
               
                 9 
                   
                 0.372574476 
                 0.152 
               
               
                 10 
                 Infrared rays 
                 1E+18 
                 0.210 
                 BK_7 
                 1.517 
                 64.13 
               
               
                   
                 filter 
               
               
                 11 
                   
                 1E+18 
                 0.185 
               
               
                 12 
                 Image plane 
                 1E+18 
                 0.005 
               
               
                   
               
               
                 Reference wavelength (d-line): 555 nm. The position of blocking light: the clear aperture of the fourth surface is 0.360 mm. 
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 10 
               
               
                   
               
               
                 Coefficients of the aspheric surfaces 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
               
            
               
                 Surface 
                 2 
                 3 
                 5 
                 6 
                 7 
                 8 
               
               
                   
               
               
                 k 
                 −1.106629E+00  
                 2.994179E−07 
                 −7.788754E+01  
                 −3.440335E+01  
                 −8.522097E−01 
                 −4.735945E+00 
               
               
                 A4 
                 8.291155E−01 
                 −6.401113E−01  
                 −4.958114E+00  
                 −1.875957E+00  
                 −4.878227E−01 
                 −2.490377E+00 
               
               
                 A6 
                 −2.398799E+01  
                 −1.265726E+01  
                 1.299769E+02 
                 8.568480E+01 
                  1.291242E+02 
                  1.524149E+02 
               
               
                 A8 
                 1.825378E+02 
                 8.457286E+01 
                 −2.736977E+03  
                 −1.279044E+03  
                 −1.979689E+03 
                 −4.841033E+03 
               
               
                 A10 
                 −6.211133E+02  
                 −2.157875E+02  
                 2.908537E+04 
                 8.661312E+03 
                  1.456076E+04 
                  8.053747E+04 
               
               
                 A12 
                 −4.719066E+02  
                 −6.203600E+02  
                 −1.499597E+05  
                 −2.875274E+04  
                 −5.975920E+04 
                 −7.936887E+05 
               
               
                 A14 
                 0.000000E+00 
                 0.000000E+00 
                 2.992026E+05 
                 3.764871E+04 
                  1.351676E+05 
                  4.811528E+06 
               
               
                 A16 
                 0.000000E+00 
                 0.000000E+00 
                 0.000000E+00 
                 0.000000E+00 
                 −1.329001E+05 
                 −1.762293E+07 
               
               
                 A18 
                 0.000000E+00 
                 0.000000E+00 
                 0.000000E+00 
                 0.000000E+00 
                  0.000000E+00 
                  3.579891E+07 
               
               
                 A20 
                 0.000000E+00 
                 0.000000E+00 
                 0.000000E+00 
                 0.000000E+00 
                  0.000000E+00 
                 −3.094006E+07 
               
               
                   
               
            
           
           
               
               
               
               
            
               
                   
                 Surface 
                 9 
                 10 
               
               
                   
                   
               
               
                   
                 k 
                 −2.277155E+01 
                 −8.039778E−01 
               
               
                   
                 A4 
                  1.672704E+01 
                 −7.613206E+00 
               
               
                   
                 A6 
                 −3.260722E+02 
                  3.374046E+01 
               
               
                   
                 A8 
                  3.373231E+03 
                 −1.368453E+02 
               
               
                   
                 A10 
                 −2.177676E+04 
                  4.049486E+02 
               
               
                   
                 A12 
                  8.951687E+04 
                 −9.711797E+02 
               
               
                   
                 A14 
                 −2.363737E+05 
                  1.942574E+03 
               
               
                   
                 A16 
                  3.983151E+05 
                 −2.876356E+03 
               
               
                   
                 A18 
                 −4.090689E+05 
                  2.562386E+03 
               
               
                   
                 A20 
                  2.056724E+05 
                 −9.943657E+02 
               
               
                   
                   
               
            
           
         
       
     
     An equation of the aspheric surfaces of the fifth optical embodiment is the same as that of the first optical embodiment, and the definitions are the same as well. 
     The exact parameters of the fifth optical embodiment based on Table 9 and Table 10 are listed in the following table: 
     
       
         
           
               
             
               
                   
               
               
                 Fifth optical embodiment (Reference wavelength: 555 nm) 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 InRS41 
                 InRS42 
                 HVT41 
                 HVT42 
                 ODT % 
                 TDT % 
               
               
                 −0.07431  
                 0.00475 
                 0.00000 
                 0.53450 
                 2.09403 
                 0.84704 
               
               
                 |f/f1| 
                 |f/f2| 
                 |f/f3| 
                 |f/f4| 
                 |f1/f2| 
                 |f2/f3| 
               
               
                 0.65616 
                 0.07145 
                 2.04129 
                 1.83056 
                 0.10890 
                 28.56826  
               
               
                 ΣPPR 
                 ΣNPR 
                 ΣPPR/|ΣNPR| 
                 ΣPP 
                 ΣNP 
                 f1/ΣPP 
               
               
                 2.11274 
                 2.48672 
                 0.84961 
                 −14.05932  
                 1.01785 
                 1.03627 
               
               
                 f4/ΣNP 
                 IN12/f 
                 IN23/f 
                 IN34/f 
                 TP3/f 
                 TP4/f 
               
               
                 1.55872 
                 0.10215 
                 0.04697 
                 0.02882 
                 0.33567 
                 0.16952 
               
               
                 InTL 
                 HOS 
                 HOS/HOI 
                 InS/HOS 
                 InTL/HOS 
                 ΣTP/InTL 
               
               
                 1.09131 
                 1.64329 
                 1.59853 
                 0.98783 
                 0.66410 
                 0.83025 
               
            
           
           
               
               
               
               
               
            
               
                 (TP1 + IN12)/TP2 
                 (TP4 + IN34)/TP3 
                 TP1/TP2 
                 TP3/TP4 
                 IN23/(TP2 + IN23 + TP3) 
               
               
                 1.86168 
                 0.59088 
                 1.23615 
                 1.98009 
                 0.08604 
               
            
           
           
               
               
               
               
               
               
            
               
                 |InRS41|/TP4 
                 |InRS42|/TP4 
                 HVT42/HOI 
                 HVT42/HOS 
                 InTL/HOS 
                   
               
               
                 0.4211  
                 0.0269  
                 0.5199  
                 0.3253  
                 0.6641  
               
               
                 PhiA 
                   
                   
                   
                   
                 HOI 
               
               
                  1.596 mm 
                   
                   
                   
                   
                 1.028 mm 
               
               
                 PSTA 
                 PLTA 
                 NSTA 
                 NLTA 
                 SSTA 
                 SLTA 
               
               
                 −0.029 mm 
                 −0.023 mm 
                 −0.011 mm 
                 −0.024 mm 
                 0.010 mm 
                 0.011 mm 
               
               
                   
               
            
           
         
       
     
     The results of the equations of the fifth optical embodiment based on Table 9 and Table 10 are listed in the following table: 
     
       
         
           
               
             
               
                   
               
               
                 Values related to the inflection points of the fifth optical embodiment 
               
               
                 (Reference wavelength: 555 nm) 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                 HIF111 
                 0.28454 
                 HIF111/HOI 
                 0.27679 
                 SGI111 
                 0.04361 
                 |SGI111|/(|SGI111| + TP1) 
                 0.17184 
               
               
                 HIF211 
                 0.04198 
                 HIF211/HOI 
                 0.04083 
                 SGI211 
                 0.00007 
                 |SGI211|/(|SGI211| + TP2) 
                 0.00040 
               
               
                 HIF212 
                 0.37903 
                 HIF212/HOI 
                 0.36871 
                 SGI212 
                 −0.03682 
                 |SGI212|/(|SGI212| + TP2) 
                 0.17801 
               
               
                 HIF221 
                 0.25058 
                 HIF221/HOI 
                 0.24376 
                 SGI221 
                 0.00695 
                 |SGI221|/(|SGI221| + TP2) 
                 0.03927 
               
               
                 HIF311 
                 0.14881 
                 HIF311/HOI 
                 0.14476 
                 SGI311 
                 −0.00854 
                 |SGI311|/(|SGI311| + TP3) 
                 0.02386 
               
               
                 HIF312 
                 0.31992 
                 HIF312/HOI 
                 0.31120 
                 SGI312 
                 −0.01783 
                 |SGI312|/(|SGI312| + TP3) 
                 0.04855 
               
               
                 HIF313 
                 0.32956 
                 HIF313/HOI 
                 0.32058 
                 SGI313 
                 −0.01801 
                 |SGI313|/(|SGI313| + TP3) 
                 0.04902 
               
               
                 HIF321 
                 0.36943 
                 HIF321/HOI 
                 0.35937 
                 SGI321 
                 −0.14878 
                 |SGI321|/(|SGI321| + TP3) 
                 0.29862 
               
               
                 HIF411 
                 0.01147 
                 HIF411/HOI 
                 0.01116 
                 SGI411 
                 −0.00000 
                 |SGI411|/(|SGI411| + TP4) 
                 0.00001 
               
               
                 HIF412 
                 0.22405 
                 HIF412/HOI 
                 0.21795 
                 SGI412 
                 0.01598 
                 |SGI412|/(|SGI412| + TP4) 
                 0.08304 
               
               
                 HIF421 
                 0.24105 
                 HIF421/HOI 
                 0.23448 
                 SGI421 
                 0.05924 
                 |SGI421|/(|SGI421| + TP4) 
                 0.25131 
               
               
                   
               
            
           
         
       
     
     The figures related to the profile curve lengths obtained based on Table 9 and Table 10 are listed in the following table: 
     
       
         
           
               
             
               
                   
               
               
                 Fifth optical embodiment (Reference wavelength: 555 nm) 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
               
            
               
                 ARE 
                 ½(HEP) 
                 ARE value 
                 ARE − ½(HEP) 
                 2(ARE/HEP) % 
                 TP 
                 ARE/TP (%) 
               
               
                   
               
               
                 11 
                 0.368 
                 0.374 
                 0.00578 
                 101.57% 
                 0.210 
                 178.10% 
               
               
                 12 
                 0.366 
                 0.368 
                 0.00240 
                 100.66% 
                 0.210 
                 175.11% 
               
               
                 21 
                 0.372 
                 0.375 
                 0.00267 
                 100.72% 
                 0.170 
                 220.31% 
               
               
                 22 
                 0.372 
                 0.371 
                 −0.00060  
                  99.84% 
                 0.170 
                 218.39% 
               
               
                 31 
                 0.372 
                 0.372 
                 −0.00023  
                  99.94% 
                 0.349 
                 106.35% 
               
               
                 32 
                 0.372 
                 0.404 
                 0.03219 
                 108.66% 
                 0.349 
                 115.63% 
               
               
                 41 
                 0.372 
                 0.373 
                 0.00112 
                 100.30% 
                 0.176 
                 211.35% 
               
               
                 42 
                 0.372 
                 0.387 
                 0.01533 
                 104.12% 
                 0.176 
                 219.40% 
               
               
                   
               
               
                 ARS 
                 EHD 
                 ARS value 
                 ARS − EHD 
                 (ARS/EHD)% 
                 TP 
                 ARS/TP (%) 
               
               
                   
               
               
                 11 
                 0.368 
                 0.374 
                 0.00578 
                 101.57% 
                 0.210 
                 178.10% 
               
               
                 12 
                 0.366 
                 0.368 
                 0.00240 
                 100.66% 
                 0.210 
                 175.11% 
               
               
                 21 
                 0.387 
                 0.391 
                 0.00383 
                 100.99% 
                 0.170 
                 229.73% 
               
               
                 22 
                 0.458 
                 0.460 
                 0.00202 
                 100.44% 
                 0.170 
                 270.73% 
               
               
                 31 
                 0.476 
                 0.478 
                 0.00161 
                 100.34% 
                 0.349 
                 136.76% 
               
               
                 32 
                 0.494 
                 0.538 
                 0.04435 
                 108.98% 
                 0.349 
                 154.02% 
               
               
                 41 
                 0.585 
                 0.624 
                 0.03890 
                 106.65% 
                 0.176 
                 353.34% 
               
               
                 42 
                 0.798 
                 0.866 
                 0.06775 
                 108.49% 
                 0.176 
                 490.68% 
               
               
                   
               
            
           
         
       
     
     [Sixth Optical Embodiment] 
     As shown in  FIG.  7 A  and  FIG.  7 B , an optical image capturing system  60  of the sixth optical 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 , an infrared rays filter  670 , an image plane  680 , and an image sensor  690 . 
     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 concave aspheric surface, and an image-side surface  624  thereof, which faces the image side, is a convex aspheric surface. The image-side surface  624  has 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 concave aspheric surface. The object-side surface  632  has two inflection points, and the image-side surface  634  has an inflection point. 
     The infrared rays filter  670  is made of glass and is disposed between the third lens  630  and the image plane  680 . The infrared rays filter  670  gives no contribution to the focal length of the optical image capturing system  60 . 
     The parameters of the lenses of the sixth optical embodiment are listed in Table 11 and Table 12. 
     
       
         
           
               
             
               
                 TABLE 11 
               
             
            
               
                   
               
               
                 f = 2.41135 mm; f/HEP = 2.22; HAF = 36 deg 
               
            
           
           
               
               
               
               
               
               
               
            
               
                   
                 Radius of curvature 
                 Thickness 
                   
                 Refractive 
                 Abbe 
                 Focal length 
               
               
                 Surface 
                 (mm) 
                 (mm) 
                 Material 
                 index 
                 number 
                 (mm) 
               
               
                   
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                 0 
                 Object 
                 1E+18 
                 600 
                   
                   
                   
                   
               
               
                 1 
                 1 st  lens 
                 0.840352226 
                 0.468 
                 plastic 
                 1.535 
                 56.27 
                 2.232 
               
               
                 2 
                   
                 2.271975602 
                 0.148 
               
               
                 3 
                 Aperture 
                 1E+18 
                 0.277 
               
               
                 4 
                 2 nd  lens 
                 −1.157324239  
                 0.349 
                 plastic 
                 1.642 
                 22.46 
                 −5.221 
               
               
                 5 
                   
                 −1.968404008  
                 0.221 
               
               
                 6 
                 3 rd  lens 
                 1.151874235 
                 0.559 
                 plastic 
                 1.544 
                 56.09 
                 7.360 
               
               
                 7 
                   
                 1.338105159 
                 0.123 
               
               
                 8 
                 Infrared rays 
                 1E+18 
                 0.210 
                 BK7 
                 1.517 
                 64.13 
               
               
                   
                 filter 
               
               
                 9 
                   
                 1E+18 
                 0.547 
               
               
                 10 
                 Image plane 
                 1E+18 
                 0.000 
               
               
                   
               
               
                 Reference wavelength (d-line): 555 nm. The position of blocking light: the clear aperture of the first surface is 0.640 mm. 
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 12 
               
             
            
               
                   
               
               
                 Coefficients of the aspheric surfaces 
               
            
           
           
               
               
               
               
               
               
               
            
               
                 Surface 
                 1 
                 2 
                 4 
                 5 
                 6 
                 7 
               
               
                   
               
               
                 k 
                 −2.019203E−01  
                  1.528275E+01 
                  3.743939E+00 
                 −1.207814E+01 
                 −1.276860E+01 
                 −3.034004E+00 
               
               
                 A4 
                 3.944883E−02 
                 −1.670490E−01 
                 −4.266331E−01 
                 −1.696843E+00 
                 −7.396546E−01 
                 −5.308488E−01 
               
               
                 A6 
                 4.774062E−01 
                  3.857435E+00 
                 −1.423859E+00 
                  5.164775E+00 
                  4.449101E−01 
                  4.374142E−01 
               
               
                 A8 
                 −1.528780E+00  
                 −7.091408E+01 
                  4.119587E+01 
                 −1.445541E+01 
                  2.622372E−01 
                 −3.111192E−01 
               
               
                 A10 
                 5.133947E+00 
                  6.365801E+02 
                 −3.456462E+02 
                  2.876958E+01 
                 −2.510946E−01 
                  1.354257E−01 
               
               
                 A12 
                 −6.250496E+00  
                 −3.141002E+03 
                  1.495452E+03 
                 −2.662400E+01 
                 −1.048030E−01 
                 −2.652902E−02 
               
               
                 A14 
                 1.068803E+00 
                  7.962834E+03 
                 −2.747802E+03 
                  1.661634E+01 
                  1.462137E−01 
                 −1.203306E−03 
               
               
                 A16 
                 7.995491E+00 
                 −8.268637E+03 
                  1.443133E+03 
                 −1.327827E+01 
                 −3.676651E−02 
                  7.805611E−04 
               
               
                   
               
            
           
         
       
     
     An equation of the aspheric surfaces of the sixth optical embodiment is the same as that of the first optical embodiment, and the definitions are the same as well. 
     The exact parameters of the sixth optical embodiment based on Table 11 and Table 12 are listed in the following table: 
     
       
         
           
               
             
               
                   
               
               
                 Sixth optical embodiment (Reference wavelength: 555 nm) 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 |f/f1| 
                 |f/f2| 
                 |f/f3| 
                 |f1/f2| 
                 |f2/f3| 
                 TP1/TP2 
               
               
                 1.08042 
                 0.46186 
                 0.32763 
                 2.33928 
                 1.40968 
                 1.33921 
               
               
                 ΣPPR 
                 ΣNPR 
                 ΣPPR/|ΣNPR| 
                 IN12/f 
                 IN23/f 
                 TP2/TP3 
               
               
                 1.40805 
                 0.46186 
                 3.04866 
                 0.17636 
                 0.09155 
                 0.62498 
               
            
           
           
               
               
               
            
               
                 TP2/(IN12 + TP2 + IN23) 
                 (TP1 + IN12)/TP2 
                 (TP3 + IN23)/TP2 
               
               
                 0.35102 
                 2.23183 
                 2.23183 
               
            
           
           
               
               
               
               
               
               
            
               
                 HOS 
                 InTL 
                 HOS/HOI 
                 InS/HOS 
                 |ODT|% 
                 |TDT| % 
               
               
                 2.90175 
                 2.02243 
                 1.61928 
                 0.78770 
                 1.50000 
                 0.71008 
               
               
                 HVT21 
                 HVT22 
                 HVT31 
                 HVT32 
                 HVT32/HOI 
                 HVT32/HOS 
               
               
                 0.00000 
                 0.00000 
                 0.46887 
                 0.67544 
                 0.37692 
                 0.23277 
               
               
                 PhiA 
                   
                   
                   
                   
                 HOI 
               
               
                  2.716 mm 
                   
                   
                   
                   
                 1.792 mm 
               
               
                   
                   
                   
                   
                   
                 InTL/HOS 
               
               
                   
                   
                   
                   
                   
                 0.6970  
               
               
                 PLTA 
                 PSTA 
                 NLTA 
                 NSTA 
                 SLTA 
                 SSTA 
               
               
                 −0.002 mm 
                 0.008 mm 
                 0.006 mm 
                 −0.008 mm 
                 −0.007 mm 
                 0.006 mm 
               
               
                   
               
            
           
         
       
     
     The results of the equations of the sixth optical embodiment based on Table 11 and Table 12 are listed in the following table: 
     
       
         
           
               
             
               
                   
               
               
                 Values related to the inflection points of the sixth optical embodiment 
               
               
                 (Reference wavelength: 555 nm) 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                 HIF221 
                 0.5599 
                 HIF221/HOI 
                 0.3125 
                 SGI221 
                 −0.1487 
                 |SGI221|/(|SGI221| + TP2) 
                 0.2412 
               
               
                 HIF311 
                 0.2405 
                 HIF311/HOI 
                 0.1342 
                 SGI311 
                 0.0201 
                 |SGI311|/(|SGI311| + TP3) 
                 0.0413 
               
               
                 HIF312 
                 0.8255 
                 HIF312/HOI 
                 0.4607 
                 SGI312 
                 −0.0234 
                 |SGI312|/(|SGI312| + TP3) 
                 0.0476 
               
               
                 HIF321 
                 0.3505 
                 HIF321/HOI 
                 0.1956 
                 SGI321 
                 0.0371 
                 |SGI321|/(|SGI321| + TP3) 
                 0.0735 
               
               
                   
               
            
           
         
       
     
     The figures related to the profile curve lengths obtained based on Table 11 and Table 12 are listed in the following table: 
     
       
         
           
               
             
               
                   
               
               
                 Sixth optical embodiment (Reference wavelength: 555 nm) 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
               
            
               
                 ARE 
                 ½(HEP) 
                 ARE value 
                 ARE − ½(HEP) 
                 2(ARE/HEP) % 
                 TP 
                 ARE/TP (%) 
               
               
                   
               
               
                 11 
                 0.546 
                 0.598 
                 0.052 
                 109.49% 
                 0.468 
                 127.80% 
               
               
                 12 
                 0.500 
                 0.506 
                 0.005 
                 101.06% 
                 0.468 
                 108.03% 
               
               
                 21 
                 0.492 
                 0.528 
                 0.036 
                 107.37% 
                 0.349 
                 151.10% 
               
               
                 22 
                 0.546 
                 0.572 
                 0.026 
                 104.78% 
                 0.349 
                 163.78% 
               
               
                 31 
                 0.546 
                 0.548 
                 0.002 
                 100.36% 
                 0.559 
                  98.04% 
               
               
                 32 
                 0.546 
                 0.550 
                 0.004 
                 100.80% 
                 0.559 
                  98.47% 
               
               
                   
               
               
                 ARS 
                 EHD 
                 ARS value 
                 ARS − EHD 
                 (ARS/EHD)% 
                 TP 
                 ARS/TP (%) 
               
               
                   
               
               
                 11 
                 0.640 
                 0.739 
                 0.099 
                 115.54% 
                 0.468 
                 158.03% 
               
               
                 12 
                 0.500 
                 0.506 
                 0.005 
                 101.06% 
                 0.468 
                 108.03% 
               
               
                 21 
                 0.492 
                 0.528 
                 0.036 
                 107.37% 
                 0.349 
                 151.10% 
               
               
                 22 
                 0.706 
                 0.750 
                 0.044 
                 106.28% 
                 0.349 
                 214.72% 
               
               
                 31 
                 1.118 
                 1.135 
                 0.017 
                 101.49% 
                 0.559 
                 203.04% 
               
               
                 32 
                 1.358 
                 1.489 
                 0.131 
                 109.69% 
                 0.559 
                 266.34% 
               
               
                   
               
            
           
         
       
     
     The optical image capturing system of the present invention could reduce the required mechanism space by changing the number of lens. 
     It must be pointed out that the embodiments described above are only some embodiments of the present invention. All equivalent structures and methods which employ the concepts disclosed in this specification and the appended claims should fall within the scope of the present invention.