Patent Publication Number: US-10761297-B2

Title: Optical image capturing system

Description:
CROSS-REFERENCE TO RELATED APPLICATION 
     This application claims the benefit of Taiwan Patent Application No. 107108701, filed on Mar. 14, 2018, in the Taiwan Intellectual Property Office, the disclosure of which is incorporated herein in its entirety by reference. 
     BACKGROUND OF THE INVENTION 
     1. Field of the Invention 
     The present invention generally relates to an optical system, and more particularly to a compact optical image capturing system for an electronic device. 
     2. Description of the Related Art 
     In recent years, with the rise of portable electronic devices having camera functionalities, the demand for an optical image capturing system has gradually been raised. The image-sensing device of the ordinary photographing camera is commonly selected from charge coupled device (CCD) or complementary metal-oxide semiconductor sensor (CMOS Sensor). In addition, as advanced semiconductor manufacturing technology enables the minimization of the pixel size of the image-sensing device, the development of the optical image capturing system has gravitated towards the field of high pixels. Therefore, the requirement for high imaging quality is rapidly raised. 
     The conventional optical system of the portable electronic device usually has four or five lens elements. However, the optical system is required to have higher resolution and take pictures in a dark environment, in other words, the optical system is required to have a large aperture stop. A conventional optical system which provides high optical performance is required. 
     Another important issue is to increase the quantity of light entering the lens. In addition, a modern lens is also required to have several characteristics, including high image quality. 
     SUMMARY OF THE INVENTION 
     The aspect of embodiment of the present disclosure directs to an optical image capturing system and an optical image capturing lens which uses a combination of refractive powers, convex and concave surfaces of six-piece optical lenses (the convex or concave surface in the disclosure denotes the geometrical shape of an image-side surface or an object-side surface of each lens on an optical axis) to increase the quantity of incoming light of the optical image capturing system, and to improve imaging quality for image formation, so as to be applied to minimized electronic products. 
     The term and its definition to the lens parameters in the embodiment of the present are shown as below for further reference. 
     The Lens Parameters Related to a Length or a Height in the Lens: 
     The maximum height for image formation of the optical image capturing system is denoted by HOI. The height of the optical image capturing system is denoted by HOS. A distance from the object-side surface of the first lens elements to the image-side surface of the sixth lens is denoted by InTL. The distance from the first lens element to the second lens element is denoted by IN12 (instance). The central thickness of the first lens of the optical image capturing system on the optical axis is denoted by TP1 (instance). 
     The Lens Parameters Related to a Material in the Lens: 
     The Coefficient of dispersion of the first lens element in the optical image capturing system is denoted by NA1 (instance). The refractive index of the first lens element is denoted by Nd1 (instance). 
     The Lens Parameters Related to a View Angle of the Lens: 
     The view angle is denoted by AF. Half of the view angle is denoted by HAF. The major light angle is denoted by MRA. 
     The Lens Parameter Related to Exit/Entrance Pupil in the Lens: 
     The entrance pupil diameter of the optical image capturing system is denoted by HEP. The exit pupil diameter of the optical image capturing system is the image formed with respect to the image space after the light passes through the lens elements assembly behind the aperture stop. The exit pupil diameter is denoted by HXP. For any surface of any lens element, the maximum effective half diameter (EHD) is a perpendicular distance between an optical axis and a crossing point on the surface where the incident light with a maximum viewing angle of the system passing the very edge of the entrance pupil. For example, the maximum effective half diameter of the object-side surface of the first lens element is denoted by EHD11. The maximum effective half diameter of the image-side surface of the first lens element is denoted by EHD12, the maximum effective half diameter of the object-side surface of the second lens is denoted by EHD21, the maximum effective half diameter of the image-side surface of the second lens is denoted by EHD22, and so on. The maximum effective diameter of the image-side surface which is nearest to the image plane of the optical image capturing system is denoted by PhiA, and the relationship is satisfied: PhiA=double EHD. If the surface is aspheric, the cut-off point of the maximum effective diameter namely includes the cut-off point of the aspherical surface. An ineffective half diameter (IHD) position of any surface of single lens element means the surficial section of the cut-off point (if it is an aspheric surface, a point end of the aspherical coefficient is on the surface) of the maximum effective diameter extending from the same surface away from the optical axis. The maximum diameter of the image-side surface of the lens element which is nearest to the image plane of the optical image capturing system is denoted by PhiB, and the relationship is satisfied: PhiB a double (a maximum EHD+a maximum IHD)=PhiA+a double (a maximum IHD). 
     In the optical image capturing system of the present disclosure, the maximum effective diameter of the image-side surface on the lens element that is closest to the image plane (i.e. image space) is the optical exit pupil thereof, and the maximum effective diameter is denoted by PhiA. For instance, when the optical exit pupil is at the image-side surface of the third lens element, the maximum effective diameter is denoted by PhiA3. When the optical exit pupil is at the image-side surface of the fourth lens element, the maximum effective diameter is denoted by PhiA4. When the optical exit pupil is at the image-side surface of the fifth lens element, the maximum effective diameter is denoted by PhiA5. When the optical exit pupil is at the image-side surface of the sixth lens element, the maximum effective diameter is denoted by PhiA6. For the optical image capturing system having different number of lens elements, the maximum effective diameter (optical exit pupil) may be denoted in a similar fashion. The pupil magnification ratio of the optical image capturing system is denoted by PMR, and the following condition is satisfied: PMR=PhiA/REP. 
     The Lens Parameters Related to an Arc Length of the Lens Shape and an Outline of Surface: 
     The length of the outline curve of the maximum effective half diameter position of any surface of a single lens element refers to a length of outline curve from an axial point on the surface of the lens element to the maximum effective half diameter position of the surface along an outline of the surface of the lens element and is denoted as ARS. For example, the length of the outline curve of the maximum effective half diameter position of the object-side surface of the first lens element is denoted as ARS11. The length of the outline curve of the maximum effective half diameter position of the image-side surface of the first lens element is denoted as ARS12. The length of the outline curve of the maximum effective half diameter position of the object-side surface of the second lens element is denoted as ARS21. The length of the outline curve of the maximum effective half diameter position of the image-side surface of the second lens element is denoted as ARS22. The lengths of the outline curves of the maximum effective half diameter position of any surface of the other lens elements in the optical image capturing system are denoted in a similar way. 
     A length of the outline curve of a half of a pupil diameter (HEP) of any surface of a single lens element refers to a length of the outline curve of the half of the entrance pupil diameter (HEP) from an axial point on the surface of the lens element to a coordinate point of perpendicular height with a distance of the half of the entrance pupil diameter from the optical axis on the surface along the outline of the surface of the lens element and is denoted as ARE. For example, the length of the outline curve of the half of the entrance pupil diameter (HEP) of the object-side surface of the first lens element is denoted as ARE11. The length of the outline curve of the half of the entrance pupil diameter (HEP) of the image-side surface of the first lens element is denoted as ARE12. The length of the outline curve of the half of the entrance pupil diameter (HEP) of the object-side surface of the second lens element is denoted as ARE21. The length of the outline curve of the half of the entrance pupil diameter (HEP) of the image-side surface of the second lens element is denoted as ARE22. The lengths of the outline curves of the half of the entrance pupil diameters (HEP) of any surface of the other lens elements in the optical image capturing system are denoted in a similar way. 
     The Lens Parameters Related to a Depth of the Lens Shape: 
     The distance parallel to the optical axis from a point where the optical axis passes through to an end point of the maximum effective semi diameter on the object-side surface of the sixth lens is denoted by InRS61 (the depth of the maximum effective semi diameter). The distance parallel to the optical axis from a point where the optical axis passes through to an end point of the maximum effective semi diameter on the image-side surface of the sixth lens 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 Parameters Related to the Lens Shape: 
     The critical point C is a tangent point on a surface of a specific lens, and the tangent point is tangent to a plane perpendicular to the optical axis and the tangent point cannot be a crossover point on the optical axis. Following the above description, a distance perpendicular to the optical axis between a critical point C51 on the object-side surface of the fifth lens and the optical axis is HVT51 (instance), and a distance perpendicular to the optical axis between a critical point C52 on the image-side surface of the fifth lens and the optical axis is HVT52 (instance). A distance perpendicular to the optical axis between a critical point C61 on the object-side surface of the sixth lens and the optical axis is HVT61 (instance), and a distance perpendicular to the optical axis between a critical point C62 on the image-side surface of the sixth lens and the optical axis is HVT62 (instance). A distance perpendicular to the optical axis between a critical point on the object-side or image-side surface of other lenses, such as the sixth lens, the optical axis is denoted in the same manner. 
     The object-side surface of the sixth lens has one inflection point IF611 which is the first nearest to the optical axis, and the sinkage value of the inflection point IF611 is denoted by SGI611 (instance). SGI611 is also the distance parallel to an optical axis from an inflection point on the object-side surface of sixth lens element that is the first nearest to the optical axis to an axial point on the object-side surface of the sixth lens element. The distance perpendicular to the optical axis between the inflection point IF611 and the optical axis is HIF611 (instance). The image-side surface of the sixth lens has one inflection point IF621 which is the first nearest to the optical axis, and the sinkage value of the inflection point IF621 is denoted by SGI621 (instance). SGI621 is also the distance parallel to an optical axis from an inflection point on the image-side surface of the sixth lens element that is the first nearest to the optical axis to an axial point on the image-side surface of the sixth lens element. The distance perpendicular to the optical axis between the inflection point IF621 and the optical axis is HIF621 (instance). 
     The object-side surface of the sixth lens has one inflection point IF612 which is the second nearest to the optical axis, and the sinkage value of the inflection point IF612 is denoted by SGI612 (instance). The distance perpendicular to the optical axis between the inflection point IF612 and the optical axis is HIF612 (instance). The image-side surface of the sixth lens has one inflection point IF622 which is the second nearest to the optical axis, and the sinkage value of the inflection point IF622 is denoted by SGI622 (instance). The distance perpendicular to the optical axis between the inflection point IF622 and the optical axis is HIF622 (instance). 
     The object-side surface of the sixth lens has one inflection point IF613 which is the third nearest to the optical axis, and the sinkage value of the inflection point IF613 is denoted by SGI613 (instance). The distance perpendicular to the optical axis between the inflection point IF613 and the optical axis is HIF613 (instance). The image-side surface of the sixth lens has one inflection point IF623 which is the third nearest to the optical axis, and the sinkage value of the inflection point IF623 is denoted by SGI623 (instance). The distance perpendicular to the optical axis between the inflection point IF623 and the optical axis is HIF623 (instance). 
     The object-side surface of the sixth lens has one inflection point IF614 which is the fourth nearest to the optical axis, and the sinkage value of the inflection point IF614 is denoted by SGI614 (instance). The distance perpendicular to the optical axis between the inflection point IF614 and the optical axis is HIF614 (instance). The image-side surface of the sixth lens has one inflection point IF624 which is the fourth nearest to the optical axis, and the sinkage value of the inflection point IF624 is denoted by SGI624 (instance). The distance perpendicular to the optical axis between the inflection point IF624 and the optical axis is HIF624 (instance). 
     The inflection point, the distance perpendicular to the optical axis between the inflection point and the optical axis, and the sinkage value thereof on the object-side surface or image-side surface of other lenses are denoted in the same manner. 
     The Lens Parameters 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. The offset of the spherical aberration is denoted by DFS. The offset of the coma aberration is denoted by DFC. 
     The transverse aberration of the edge of the aperture stop is defined as STOP Transverse Aberration (STA), which assesses the specific performance of the optical image capturing system. The tangential fan or sagittal fan may be used to calculate the STA of any fields of view, and in particular, to calculate the STAs of the longest operation wavelength (e.g. 650 nm) and the shortest operation wavelength (e.g. 470 nm), which serves as the standard to indicate the performance. The aforementioned direction of the tangential fan can be further defined as the positive- (overhead-light) and negative- (lower-light) directional tangential fans. The STA of the longest operation wavelength is defined as the distance between the position of the image formed when the longest operation wavelength passing through the edge of the entrance pupil strikes a specific field of view of the image plane and the image position of the reference primary wavelength (e.g. wavelength of 555 nm) on specific field of view of the image plane. Whereas the STA of the shortest operation wavelength is defined as the distance between the position of the image formed when the shortest operation wavelength passing through the edge of the entrance pupil strikes a specific field of view of the image plane and the image position of the reference primary wavelength on a specific field of view of the image plane. The criteria for the optical image capturing system to be qualified as having excellent performance may be set as: both STA of the incident longest operation wavelength and the STA of the incident shortest operation wavelength at 70% of the field of view of the image plane (i.e. 0.7 HOI) has to be less than 100 μm or even less than 80 μm. 
     The maximum height for image formation perpendicular to the optical axis on the image plane is denoted as HOI, the transverse aberration of the visible rays with the longest operation wavelength from the positive-directional tangential fan, which passes through an edge of the entrance pupil and strike at the position of 0.7 HOI on the image plane, is denoted as PLTA, the transverse aberration of the visible rays with the shortest operation wavelength from the positive-directional tangential fan, which passes through the edge of the entrance pupil and strikes at the position of 0.7 HOI on the image plane, is denoted as PSTA, the transverse aberration of the visible rays with the longest operation wavelength from negative-directional tangential fan, which passes through the edge of the entrance pupil and strikes at the position of 0.7 HOI on the image plane, is denoted as NLTA, the transverse aberration of the visible rays with the shortest operation wavelength from a negative-directional tangential fan, which passes through the edge of the entrance pupil and strikes at the position of 0.7 HOI on the image plane, is denoted as NSTA, the transverse aberration of the visible rays with the longest operation wavelength from a sagittal fan, which passes through the edge of the entrance pupil and strikes at the position of 0.7 HOI on the image plane, is denoted as SLTA, the transverse aberration of the visible rays with the shortest operation wavelength from the sagittal fan, which passes through the edge of the entrance pupil and strikes at the position of 0.7 HOI on the image plane, is denoted as SSTA. 
     The present invention provides an optical image capturing system, and a sixth lens of optical image capturing system is provided with an inflection point at the object-side surface or at the image-side surface to adjust the incident angle of each view field and modify the ODT and the TDT. In addition, the surfaces of the sixth lens are capable of modifying the optical path to improve the imaging quality. 
     The present invention provides an optical image capturing system, in order along an optical axis from an object side to an image side, includes a first lens element, a second lens element, a third lens element, a fourth lens element, a fifth lens element, a sixth lens element and an image plane. The first lens element has refractive power, and f1, f2, f3, f4, f5 and f6 are focal lengths of the first lens element to the sixth lens element, f is the focal length of the optical image capturing system, HEP is the entrance pupil diameter of the optical image capturing system, distance HOS is the distance from object-side surface of the first lens element to the image plane, distance InTL is the distance on the optical axis from object-side surface of the first lens element to image-side surface of the sixth lens element, PhiA6 is the maximum effective diameter of the image-side surface of the sixth lens element, the length of the outline curve of a half of an pupil diameter (HEP) of any surface of a signal lens element refers to the length of the outline curve of the half of the entrance pupil diameter (HEP) from an axial point on the surface of the lens element to a coordinate point of perpendicular height with a distance of the half of the entrance pupil diameter from the optical axis on the surface along the outline of the surface of the lens element and is denoted as ARE, and the optical image capturing system satisfies: 1.0≤f/HEP≤10; 0.5≤HOS/f≤30; 0&lt;PhiA6/InTL≤1.6; and 0.1≤2(ARE/HEP)≤2.0. 
     The present invention provides an optical image capturing system, in order along an optical axis from an object side to an image side, includes a first lens element, a second lens element, a third lens element, a fourth lens element, a fifth lens element, a sixth lens element, an image plane and a first positioning element. The first positioning element comprises a holder which is in a hollow shape, is opaque and comprises a cylinder and a basement connected with each other. The cylinder is configured to accommodate the six lens elements, and the basement is between the sixth lens element and the image plane, an outer periphery of the basement is greater than an outer periphery of the cylinder, the maximum value of the minimum side length of the basement perpendicular to the optical axis denoted by PhiD, and f1, f2, f3, f4, f5 and f6 are focal lengths of the first lens element to the sixth lens element, and f is the focal length of the optical image capturing system, HEP is the entrance pupil diameter of the optical image capturing system, HOS is the distance from object-side surface of the first lens element to the image plane, InTL is the distance on the optical axis from object-side surface of the first lens element to image-side surface of the sixth lens element, the length of the outline curve of a half of an pupil diameter (HEP) of any surface of a signal lens element refers to a length of the outline curve of the half of the entrance pupil diameter (HEP) from an axial point on the surface of the lens element to a coordinate point of perpendicular height with the distance of the half of the entrance pupil diameter from the optical axis on the surface along the outline of the surface of the lens element and is denoted as ARE, and the optical image capturing system satisfies: 1.0≤f/HEP≤10; 0.5≤HOS/f≤30; 0 mm&lt;PhiD≤16 mm; and 0.1≤2(ARE/HEP)≤2.0. 
     The present invention provides an optical image capturing system, in order along an optical axis from the object side to the image side, comprise a first lens element, a second lens element, a third lens element, a fourth lens element, a fifth lens element, a sixth lens element, an image plane, a first positioning element and a second positioning element. The first positioning element comprises a holder which is in a hollow shape, opaque and comprises a cylinder and a basement connected with each other. The cylinder is configured to accommodate the six lens elements. The basement is between the sixth lens element and the image plane. An outer periphery of the basement is greater than the outer periphery of the cylinder. The maximum value of the minimum side length of the basement perpendicular to the optical axis is denoted by PhiD. The second positioning element is disposed in the holder, and comprises a positioning part and a connection part, the positioning part is in a hollow shape and directly contacts and accommodates any of the six lens elements, to arrange the six lens elements on the optical axis; and the connection part is disposed outside the positioning part and directly contacts an inner periphery of the cylinder; the maximum outer diameter of the connection part perpendicular to the surface of the optical axis is denoted by PhiC, and f1, f2, f3, f4, f5 and f6 are focal lengths of the first lens element to the sixth lens element, f is a focal length of the optical image capturing system, HEP is an entrance pupil diameter of the optical image capturing system, HOS is a distance from object-side surface of the first lens element to the image plane, InTL is a distance on the optical axis from object-side surface of the first lens element to image-side surface of the sixth lens element, PhiA6 is a maximum effective diameter of the image-side surface of the sixth lens element, a length of outline curve of a half of an pupil diameter (HEP) of any surface of a signal lens element refers to a length of the outline curve of the half of the entrance pupil diameter (HEP) from an axial point on the surface of the lens element to a coordinate point of perpendicular height with a distance of the half of the entrance pupil diameter from the optical axis on the surface along the outline of the surface of the lens element and is denoted as ARE, and the optical image capturing system satisfies: 1.0≤f/HEP≤10; 0.5≤HOS/f≤30; PhiC&lt;PhiD; 0 mm&lt;PhiD≤16 mm; and 0.1≤2(ARE/HEP)≤2.0. 
     The length of the outline curve of any surface of single lens element within the range of maximum effective half diameter affects the performance in correcting the surface aberration and the optical path difference between the rays in each field of view. The longer outline curve may lead to a better performance in aberration correction, but the difficulty of the production may become higher. Hence, the length of the outline curve (ARS) of any surface of a single lens element within the range of the maximum effective half diameter has to be controlled, and especially, the proportional relationship (ARS/TP) between the length of the outline curve (ARS) of the surface within the range of the maximum effective half diameter and the central thickness (TP) of the lens element to which the surface belongs on the optical axis has to be controlled. For example, the length of the maximum effective half diameter outline curve of the object-side surface of the first lens element is denoted as ARS11, the central thickness of the first lens element on the optical axis is TP1, and the ratio between both of them is ARS11/TP1. The length of the maximum effective half diameter outline curve of the image-side surface of the first lens element is denoted as ARS12, and the ratio between ARS12 and TP1 is ARS12/TP1. The length of the maximum effective half diameter outline curve of the object-side surface of the second lens element is denoted as ARS21, the central thickness of the second lens element on the optical axis is TP2, and the ratio between both of them is ARS21/TP2. The length of the maximum effective half diameter outline curve of the image-side surface of the second lens element is denoted as ARS22, and the ratio between ARS22 and TP2 is ARS22/TP2. The proportional relationships between the lengths of the maximum effective half diameter outline curve of any surface of the other lens elements and the central thicknesses (TP) of the lens elements to which the surfaces belong on the optical axis are denoted in the similar way. 
     The length of ½ entrance pupil diameter outline curve of any surface of a single lens element particularly affects its performance in correcting the aberration in the shared region of each field of view and the optical path difference among each field of view. The longer outline curve may lead to a better function of aberration correction, but the difficulty in the production of such lens may become higher. Hence, the length of ½ entrance pupil diameter outline curve of any surface of a single lens element has to be controlled, and especially, the proportional relationship between the length of ½ entrance pupil diameter outline curve of any surface of a single lens element and the central thickness on the optical axis has to be controlled. For example, the length of the ½ entrance pupil diameter outline curve of the object-side surface of the first lens element is denoted as ARE11, and the central thickness of the first lens element on the optical axis is TP1, and the ratio thereof is ARE11/TP1. The length of the ½ entrance pupil diameter outline curve of the image-side surface of the first lens element is denoted as ARE12, and the central thickness of the first lens element on the optical axis is TP1, and the ratio thereof is ARE12/TP1. The length of the ½ entrance pupil diameter outline curve of the object-side surface of the first lens element is denoted as ARE21, and the central thickness of the second lens element on the optical axis is TP2, and the ratio thereof is ARE21/TP2. The length of the ½ entrance pupil diameter outline curve of the image-side surface of the second lens element is denoted as ARE22, and the central thickness of the second lens element on the optical axis is TP2, and the ratio thereof is ARE22/TP2. The ratios of the ½ HEP outline curves on any surface of the remaining lens elements of the optical image capturing system to the central thicknesses (TP) of that lens element can be computed in similar way. 
     In an embodiment, a height of the optical image capturing system (HOS) can be reduced while |f1|&gt;|f6|. 
     In an embodiment, when the lenses satisfy |f2|+|f3|+|f4|+|f5| and |f|+|f6|, at least one lens among the second to the fifth lens elements could have weak positive refractive power or weak negative refractive power. Herein the weak refractive power means the absolute value of the focal length of one specific lens is greater than 10. When at least one lens among the second to the fifth lenses has weak positive refractive power, it may share the positive refractive power of the first lens, and on the contrary, when at least one lens among the second to the fifth lenses has weak negative refractive power, it may fine tune and correct the aberration of the system. 
     In an embodiment, the sixth lens could have negative refractive power, and an image-side surface thereof is concave, it may reduce back focal length and size. Besides, the sixth lens can have at least an inflection point on at least a surface thereof, which may reduce an incident angle of the light of an off-axis field of view and correct the aberration of the off-axis field of view. 
    
    
     
       BRIEF DESCRIPTION OF THE DRAWINGS 
       The structure, operating principle and effects of the present disclosure will be described in detail by way of various embodiments which are illustrated in the accompanying drawings. 
         FIG. 1A  is a schematic view of an optical image capturing system of a second embodiment of the present invention. 
         FIG. 1B  shows curve diagrams of longitudinal spherical aberration, astigmatic field, and optical distortion of the optical image capturing system in the order from left to right of the first embodiment of the present invention. 
         FIG. 1C  is a transverse aberration diagram of the longest operation wavelength and the shortest operation wavelength for tangential fan and sagittal fan, in which the longest operation wavelength and the shortest operation wavelength pass through an edge of the entrance pupil and strike at the position of 0.7 field of view on the image plane, according to the first embodiment of the present invention. 
         FIG. 2A  is a schematic view of an optical image capturing system of a second embodiment of the present invention. 
         FIG. 2B  shows curve diagrams of longitudinal spherical aberration, astigmatic field, and optical distortion of the optical image capturing system in the order from left to right of the second embodiment of the present invention. 
         FIG. 2C  is a transverse aberration diagram of the longest operation wavelength and the shortest operation wavelength for tangential fan and sagittal fan, in which the longest operation wavelength and the shortest operation wavelength pass through an edge of the entrance pupil and strike at the position of 0.7 field of view on the image plane, according to the second embodiment of the present invention. 
         FIG. 3A  is a schematic view of an optical image capturing system of a third embodiment of the present invention. 
         FIG. 3B  shows curve diagrams of longitudinal spherical aberration, astigmatic field, and optical distortion of the optical image capturing system in the order from left to right of the third embodiment of the present invention. 
         FIG. 3C  is a transverse aberration diagram of the longest operation wavelength and the shortest operation wavelength for tangential fan and sagittal fan, in which the longest operation wavelength and the shortest operation wavelength pass through an edge of the entrance pupil and strike at the position of 0.7 field of view on the image plane, according to the third embodiment of the present invention. 
         FIG. 4A  is a schematic view of an optical image capturing system of a fourth embodiment of the present invention. 
         FIG. 4B  shows curve diagrams of longitudinal spherical aberration, astigmatic field, and optical distortion of the optical image capturing system in the order from left to right of the fourth embodiment of the present invention. 
         FIG. 4C  is a transverse aberration diagram of the longest operation wavelength and the shortest operation wavelength for tangential fan and sagittal fan, in which the longest operation wavelength and the shortest operation wavelength pass through an edge of the entrance pupil and strike at the position of 0.7 field of view on the image plane, according to the fourth embodiment of the present invention. 
         FIG. 5A  is a schematic view of an optical image capturing system of a fifth embodiment of the present invention. 
         FIG. 5B  shows curve diagrams of longitudinal spherical aberration, astigmatic field, and optical distortion of the optical image capturing system in the order from left to right of the fifth embodiment of the present invention. 
         FIG. 5C  is a transverse aberration diagram of the longest operation wavelength and the shortest operation wavelength for tangential fan and sagittal fan, in which the longest operation wavelength and the shortest operation wavelength pass through an edge of the entrance pupil and strike at the position of 0.7 field of view on the image plane, according to the fifth embodiment of the present invention. 
         FIG. 6A  is a schematic view of an optical image capturing system of a sixth embodiment of the present invention. 
         FIG. 6B  shows curve diagrams of longitudinal spherical aberration, astigmatic field, and optical distortion of the optical image capturing system in the order from left to right of the sixth embodiment of the present invention. 
         FIG. 6C  is a transverse aberration diagram of the longest operation wavelength and the shortest operation wavelength for tangential fan and sagittal fan, in which the longest operation wavelength and the shortest operation wavelength pass through an edge of the entrance pupil and strike at the position of 0.7 field of view on the image plane, according to the sixth embodiment of the present invention. 
         FIG. 7  is schematic view showing maximum effective diameter PhiA6 of image-side surface of sixth lens element, maximum diameter PhiB of the image-side surface of the sixth lens element, a maximum value PhiD of the minimum side length of the basement of the first positioning element perpendicular to the optical axis, and the maximum outer diameter PhiC of the connection part of the second positioning element perpendicular to the surface of the optical axis. 
     
    
    
     DETAILED DESCRIPTION OF THE PREFERRED EMBODIMENTS 
     In this embodiment of the present invention, an optical image capturing system, in order along an optical axis from an object side to an image side, includes a first lens element, a second lens element, a third lens element, a fourth lens element, a fifth lens element, a sixth lens element with refractive powers, and an image plane. The optical image capturing system may further include an image-sensing device disposed in the image plane. 
     The optical image capturing system may use three sets of operation wavelengths, which are 486.1 nm, 587.5 nm and 656.2 nm, respectively, and 587.5 nm serves as the primary reference wavelength and a reference wavelength to obtain technical features of the optical system. The optical image capturing system may also use five sets of wavelengths, which are 470 nm, 510 nm, 555 nm, 610 nm and 650 nm, respectively, and 555 nm serves as the primary reference wavelength and a reference wavelength to obtain technical features of the optical system. 
     The ratio of the focal length f of theoptical image capturing system to a focal length fp of each lens element with positive refractive power is PPR. The ratio of the focal length f of the optical image capturing system to a focal length fn of each lens element with negative refractive power is NPR. The sum of the PPR of all lens elements with positive refractive powers is ΣPPR. The sum of the NPR of all lens elements with negative refractive powers is ΣNPR. The total refractive power and the total length of the optical image capturing system can be controlled easily when following conditions are satisfied: 0.5≤ΣPPR/|ΣNPR|≤15; preferably, the optical image capturing system satisfies: 1≤ΣPPR/|ΣNPR|≤3.0. 
     The optical image capturing system may include an image-sensing device disposed in the image plane. Half of the diagonal of an effective detection field of the image-sensing device (imaging height or the maximum image height of the optical image capturing system) is HOI, and the distance on the optical axis from the object-side surface of the first lens element to the image plane is HOS, and the optical image capturing system satisfies: HOS/HOI≤10; and 0.5≤HOS/f≤10. Preferably, the optical image capturing system satisfies: 1≤HOS/HOI≤5; and 1≤HOS/f≤7. With this configuration, the size of the optical image capturing system can be kept small, such that a lightweight electronic product is able to accommodate it. 
     Furthermore, in the optical image capturing system of the present invention, according to different requirements, at least one aperture stop may be arranged to reduce stray light and improve the imaging quality. 
     In the optical image capturing system of the present invention, the aperture stop may be a front or middle aperture. The front aperture is the aperture stop between a photographed object and the first lens element. The middle aperture is the aperture stop between the first lens element and the image plane. When the aperture stop is the front aperture, a longer distance between the exit pupil and the image plane of the optical image capturing system can be formed, such that more optical elements can be disposed in the optical image capturing system and the efficiency of the image-sensing device in receiving image can be improved. When the aperture stop is the middle aperture, the angle of view of the optical image capturing system can be expended, such that the optical image capturing system has the same advantage that is owned by wide-angle cameras. The distance from the aperture stop to the image plane is InS, and the optical image capturing system satisfies: 0.2≤InS/HOS≤1.1. With this configuration, the size of the optical image capturing system can be kept small without sacrificing the features of a wide angle of view. 
     In the optical image capturing system of the present invention, the distance from the object-side surface of the first lens element to the image-side surface of the sixth lens element is InTL. The sum of central thicknesses of all lens elements with refractive power on the optical axis is ΣTP, wherein the optical image capturing system satisfies: 0.1≤ΣTP/InTL≤0.9. Therefore, the contrast ratio for the image formation in the optical image capturing system can be improved without sacrificing the yield rate for manufacturing the lens element, and a proper back focal length is provided to accommodate other optical components in the optical image capturing system. 
     The curvature radius of the object-side surface of the first lens element is R1, and the curvature radius of the image-side surface of the first lens element is R2, and the optical image capturing system satisfies: 0.001≤|R1/R2|≤20. With this configuration, the first lens element may have a suitable magnitude of positive refractive power, to reduce the increase rate of the spherical aberration. Preferably, the optical image capturing system satisfies: 0.01≤|R1/R2|&lt;10. 
     The curvature radius of the object-side surface of the sixth lens element is R11, and the curvature radius of the image-side surface of the sixth lens element is R12, and the optical image capturing system satisfies: −7&lt;(R11−R12)/(R11+R12)&lt;50. This configuration is beneficial to the correction of the astigmatism generated by the optical image capturing system. 
     The distance between the first lens element and the second lens element on the optical axis is IN12, and the optical image capturing system satisfies: IN12/f≤3.0. With this configuration, the chromatic aberration of the lens elements can be mitigated, such that their performance is improved. 
     The distance between the fifth lens element and the sixth lens element on the optical axis is IN56, and the optical image capturing system satisfies: IN56/f≤0.8. With this configuration, the chromatic aberration of the lens elements can be mitigated, such that their performance is improved. 
     The central thicknesses of the first lens element and the second lens element on the optical axis are TP1 and TP2, respectively, and the optical image capturing system satisfies: 0.1≤(TP1+IN12)/TP2≤10. With this configuration, the sensitivity of the optical image capturing system can be controlled, and its performance can be improved. 
     Central thicknesses of the fifth lens element and the sixth lens element on the optical axis are TP5 and TP6, respectively, and the distance between that two lens elements on the optical axis is IN56, and the optical image capturing system satisfies: 0.1≤(TP6+IN56)/TP5≤10. With this configuration, the sensitivity of the optical image capturing system can be controlled and the total height of the optical image capturing system can be reduced. 
     The central thicknesses of the second, third and fourth lens elements on the optical axis are TP2, TP3 and TP4, respectively. The distance between the second lens element and the third lens element on the optical axis is IN23. The distance between the third lens element and the fourth lens element on the optical axis is IN45. In the optical image capturing system of the present invention, the distance from the object-side surface of the first lens element to the image-side surface of the sixth lens element is InTL, and the optical image capturing system satisfies: 0.1≤TP4/(IN34+TP4+IN45)&lt;1. With this configuration, the aberration generated when the incident light is travelling inside the optical system can be corrected slightly layer upon layer, and the total height of the optical image capturing system can be reduced. 
     In the optical image capturing system of the present invention, a distance perpendicular to the optical axis between a critical point C61 on an object-side surface of the sixth lens element and the optical axis is HVT61. A distance perpendicular to the optical axis between a critical point C62 on an image-side surface of the sixth lens element and the optical axis is HVT62. A distance parallel to the optical axis from an axial point on the object-side surface of the sixth lens element to the critical point C61 is SGC61. A distance parallel to the optical axis from an axial point on the image-side surface of the sixth lens element to the critical point C62 is SGC62, and 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&lt;|SGC62|/(|SGC62|+TP6)≤0.9. With this configuration, the off-axis aberration can be corrected effectively. 
     The optical image capturing system of the present invention satisfies following condition: 0.2≤HVT62/HOI≤0.9. Preferably, the optical image capturing system satisfies: 0.3≤HVT62/HOI≤0.8. With this configuration, the aberration of surrounding field of view for the optical image capturing system can be corrected. 
     The optical image capturing system of the present invention satisfies following condition: 0≤HVT62/HOS≤0.5. Preferably, the optical image capturing system satisfies: 0.2≤HVT62/HOS≤0.45. With this configuration, the aberration of surrounding field of view for the optical image capturing system can be corrected. 
     In the optical image capturing system of the present invention, the distance parallel to an optical axis from an inflection point on the object-side surface of sixth lens element that is the first nearest to the optical axis to an axial point on the object-side surface of the sixth lens element is denoted by SGI611. The distance parallel to an optical axis from an inflection point on the image-side surface of the sixth lens element that is the first nearest to the optical axis to an axial point on the image-side surface of the sixth lens element is denoted by SGI621, and the optical image capturing system satisfies: 0&lt;SGI611/(SGI611+TP6)≤0.9; 0&lt;SGI621/(SGI621+TP6)≤0.9. Preferably, the optical image capturing system satisfies: 0.1≤SGI611/(SGI611+TP6)≤0.6; 0.1≤SGI621/(SGI621+TP6)≤0.6. 
     The distance parallel to the optical axis from the inflection point on the object-side surface of the sixth lens element that is second nearest to the optical axis to an axial point on the object-side surface of the sixth lens element is denoted by SGI612. The distance parallel to an optical axis from an inflection point on the image-side surface of the sixth lens element that is second nearest to the optical axis to an axial point on the image-side surface of the sixth lens element is denoted by SGI622. The optical image capturing system satisfies: 0&lt;SGI621/(SGI621+TP6)≤0.9; 0&lt;SGI622/(SGI622+TP6)≤0.9. Preferably, the optical image capturing system satisfies: 0.1≤SGI621/(SGI621+TP6)≤0.6; and 0.1≤SGI622/(SGI622+TP6)≤0.6. 
     The distance perpendicular to the optical axis between the inflection point on object-side surface of the sixth lens element that is the first nearest to the optical axis and the optical axis is denoted by HIF611. The distance perpendicular to the optical axis between an axial point on the image-side surface of the sixth lens element and an inflection point on the image-side surface of the sixth lens element that is the first nearest to the optical axis is denoted by HIF621, and the optical image capturing system satisfies: 0.001 mm≤|HIF611|≤5 mm; 0.001 mm≤|HIF621|≤5 mm. Preferably, the optical image capturing system satisfies: 0.1 mm≤|HIF611|≤3.5 mm; 1.5 mm≤|HIF621|≤3.5 mm. 
     The distance perpendicular to the optical axis between the inflection point on the object-side surface of the sixth lens element that is second nearest to the optical axis and the optical axis is denoted by HIF612. The distance perpendicular to the optical axis between an axial point on the image-side surface of the sixth lens element and an inflection point on the image-side surface of the sixth lens element that is second nearest to the optical axis is denoted by HIF622, and the optical image capturing system satisfies: 0.001 mm≤|HIF612|≤5 mm; 0.001 mm≤|HIF622|≤5 mm. Preferably, the optical image capturing system satisfies: 0.1 mm≤|HIF622|≤3.5 mm; 0.1 mm≤|HIF612|≤3.5 mm. 
     The distance perpendicular to the optical axis between the inflection point on the object-side surface of the sixth lens element that is third nearest to the optical axis and the optical axis is denoted by HIF613. The distance perpendicular to the optical axis between an axial point on the image-side surface of the sixth lens element and an inflection point on the image-side surface of the sixth lens element that is third nearest to the optical axis is denoted by HIF623, and the optical image capturing system satisfies: 0.001 mm≤|HIF613|≤5 mm; 0.001 mm≤|HIF623|≤5 mm. Preferably, wherein the optical image capturing system satisfies: 0.1 mm≤|HIF623|≤3.5 mm; and 0.1 mm≤|HIF613|≤3.5 mm. 
     The distance perpendicular to the optical axis between the inflection point on the object-side surface of the sixth lens element that is fourth nearest to the optical axis and the optical axis is denoted by HIF614. The distance perpendicular to the optical axis between an axial point on the image-side surface of the sixth lens element and an inflection point on the image-side surface of the sixth lens element that is fourth nearest to the optical axis is denoted by HIF624, and the optical image capturing system satisfies: 0.001 mm≤|HIF614|≤5 mm; 0.001 mm≤|HIF624|≤5 mm. Preferably, the optical image capturing system satisfies: 0.1 mm≤|HIF624|≤3.5 mm; and 0.1 mm≤|HIF614|≤3.5 mm. 
     In one embodiment of the optical image capturing system of the present disclosure, the chromatic aberration of the optical image capturing system can be corrected by alternatively arranging the lens elements with large Coefficient of dispersion and small Coefficient of dispersion, and the chromatic aberration of the optical image capturing system can be corrected. 
     The equation for the aforementioned aspheric surface is:
 
 z=ch   2 /[1+[1−( k+ 1) c   2   h   2 ]0.5]+ A 4 h   4   +A 6 h   6   +A 8 h   8   +A 10 h   10   +A 12 h   12   +A   14   h   14   +A 16 h   16   +A 18 h   18   +A 20 h   20 + . . .  (1)
 
     where z is a position value of the position along the optical axis and at the height h which reference to the surface apex; k is the conic coefficient, c is the reciprocal of curvature radius, and A4, A6, A8, A10, A12, A14, A16, A18, and A20 are high order aspheric coefficients. 
     In the optical image capturing system provided by the present invention, the lens elements may be made of glass or plastic material. In a case that plastic material is adopted to produce the lens elements, the cost of manufacturing as well as the weight of the lens element can be reduced effectively. When the lens elements are made of glass, the heat effect can be controlled, and there will be more options to allocate the refractive powers of the lens elements in the optical image capturing system. Furthermore, the object-side surfaces and the image-side surfaces of the first through sixth lens elements may be aspheric for obtaining more control variables, such that the number of the lens elements used can be reduced in contrast to traditional glass lens element, and the aberration can be reduced too. Thus, the total height of the optical image capturing system can be reduced effectively. 
     Furthermore, in the optical image capturing system provided by the present invention, when the lens element has a convex surface, the surface of that lens element basically has a convex portion in the vicinity of the optical axis. When the lens element has a concave surface, the surface of that lens element basically has a concave portion in the vicinity of the optical axis. 
     The optical image capturing system of the present invention can be applied to the optical image capturing system with automatic focus upon demand. With the features of a good aberration correction and a high quality image formation, the optical image capturing system can be used in various applications. 
     In an embodiment, the optical image capturing system of the present invention may include a driving module upon demand, the driving module couples with the six lens elements to displace the lens elements. The driving module described above may be the voice coil motor (VCM) which is applied to move the lens to focus, or may be the optical image stabilization (OIS) which is applied to reduce the frequency the optical system is out of focus owing to the vibration of the lens during photo or video shooting. 
     At least one lens element among the first, second, third, fourth, fifth and sixth lens elements may be a light filtering element for light with wavelength of less than 500 nm, depending on the design requirements. The light filtering element may be made by coating film on at least one surface of that lens element with certain filtering function, or forming that lens element with material that can filter light with short wavelength. 
     The image plane of the optical image capturing system of the present invention may be a plane or a curved surface, upon the design requirement. When the image plane is a curved surface (e.g. a spherical surface with curvature radius), the incident angle required such that the rays are focused on the image plane can be reduced. As such, the length of the optical image capturing system (TTL) can be minimized, and the relative illumination may be improved as well. 
     According to the above embodiments, the specific embodiments with figures are presented in detail as below. 
     The First Embodiment 
     Please refer to  FIGS. 1A, 1B and 1C .  FIG. 1A  is a schematic view of an optical image capturing system of a first embodiment of the present invention,  FIG. 1B  shows the longitudinal spherical aberration curves, astigmatic field curves, and optical distortion curve of the optical image capturing system in the order from left to right according to the first embodiment of the present invention, and  FIG. 1C  is a transverse aberration diagram of the longest operation wavelength and the shortest operation wavelength for tangential fan and sagittal fan, in which the longest operation wavelength and the shortest operation wavelength pass through an edge of the entrance pupil and strike at the position of 0.7 field of view on the image plane, according to the first embodiment of the present invention. As shown in  FIG. 1A , in order along an optical axis from an object side to an image side, the optical image capturing system  10  comprises a first lens element  110 , an aperture stop  100 , a second lens element  120 , a third lens element  130 , a fourth lens element  140 , a fifth lens element  150 , a sixth lens element  160 , an IR-bandstop Filter  180 , an image plane  190  and an image-sensing device  192 . 
     The first lens element  110  has negative refractive power and is made of a plastic material. The first lens element  110  has a concave object-side surface  112 , the first lens element  110  has a concave image-side surface  114 , and both of the object-side surface  112  and the image-side surface  114  are aspheric. The object-side surface  112  has two inflection points. The length of the outline curve of the maximum effective half diameter of the object-side surface  112  of the first lens element  110  is denoted as ARS11. The length of the outline curve of the maximum effective half diameter of the image-side surface  114  of the first lens element  110  is denoted as ARS12. The length of the outline curve of ½ entrance pupil diameter (HEP) of the object-side surface  112  of the first lens element  110  is denoted as ARE11. The length of the outline curve of ½ entrance pupil diameter (HEP) of the image-side surface  114  of the first lens element  110  is denoted as ARE12. The central thickness of the first lens element  110  on the optical axis is TP1. 
     The distance parallel to parallel to an optical axis from an inflection point on the object-side surface  112  of the first lens element  110  which is the first nearest to the optical axis to an axial point on the object-side surface  112  of the first lens element  110  is denoted by SGI111. The distance parallel to an optical axis from an inflection point on the image-side surface  114  of the first lens element  110  which is the first nearest to the optical axis to an axial point on the image-side surface  114  of the first lens element  110  is denoted by SGI121. The optical image capturing system satisfies: SGI111=−0.0031 mm; and |SGI111|/(|SGI111|+TP1)=0.0016. 
     The distance parallel to an optical axis from an inflection point on the object-side surface  112  of the first lens element  110  that is the second nearest to the optical axis to an axial point on the object-side surface  112  of the first lens element  110  is denoted by SGI112. The distance parallel to an optical axis from an inflection point on the image-side surface  114  of the first lens element  110  that is the second nearest to the optical axis to an axial point on the image-side surface  114  of the first lens element  110  is denoted by SGI122. The optical image capturing system satisfies: SGI112=1.3178 mm; and |SGI112|/(|SGI112|+TP1)=0.4052. 
     The distance perpendicular to the optical axis from the inflection point on the object-side surface  112  of the first lens element  110  that is the first nearest to the optical axis to an axial point on the object-side surface  112  of the first lens element  110  is denoted by HIF111. The distance perpendicular to the optical axis from the inflection point on the image-side surface  114  of the first lens element  110  that is nearest to the optical axis to an axial point on the image-side surface  114  of the first lens element  110  is denoted by HIF121. The optical image capturing system satisfies: HIF111=0.5557 mm and HIF111/HOI=0.1111. 
     The distance perpendicular to the optical axis from the inflection point on the object-side surface  112  of the first lens element  110  that is the second nearest to the optical axis to an axial point on the object-side surface  112  of the first lens element  110  is denoted by HIF112. The distance perpendicular to the optical axis from the inflection point on the image-side surface  114  of the first lens element  110  that is the second nearest to the optical axis to an axial point on the image-side surface  114  of the first lens element  110  is denoted by HIF122. The optical image capturing system satisfies: HIF112=5.3732 mm and HIF112/HOI=1.0746. 
     The second lens element  120  has positive refractive power and is made of a plastic material, and has a convex object-side surface  122  and a convex image-side surface  124 , and both of the object-side surface  122  and the image-side surface  124  are aspheric. The object-side surface  122  has an inflection point. The length of the outline curve of the maximum effective half diameter of the object-side surface  122  of the second lens element  120  is denoted as ARS21. The length of the outline curve of the maximum effective half diameter of the image-side surface  124  of the second lens element  120  is denoted as ARS22. The length of the outline curve of ½ entrance pupil diameter (HEP) of the object-side surface  122  of the second lens element  120  is denoted as ARE21. The length of the outline curve of ½ entrance pupil diameter (HEP) of the image-side surface  124  of the second lens element  120  is denoted as ARS22. The central thickness of the second lens element  120  on the optical axis is TP2. 
     The distance parallel to an optical axis from an inflection point on the object-side surface  122  of the second lens element  120  which is the first nearest to the optical axis to an axial point on the object-side surface  122  of the second lens element  120  is denoted by SGI211, the distance parallel to an optical axis from an inflection point on the image-side surface  124  of the second lens element  120  that is the first nearest to the optical axis to the axial point on the image-side surface  124  of the second lens element  120  is denoted by SGI221, and the optical image capturing system satisfies: SGI211=0.1069 mm; |SGI211|/(|SGI211|+TP2)=0.0412; SGI221=0 mm; and |SGI221|/(|SGI221|+TP2)=0. 
     The distance perpendicular to the optical axis from the inflection point on the object-side surface  122  of the second lens element  120  that is nearest to the optical axis to the axial point on the object-side surface  122  of the second lens element  120  is denoted by HIF211. The distance perpendicular to the optical axis from the inflection point on the image-side surface  124  of the second lens element  120  that is nearest to the optical axis to the axial point on the image-side surface  124  of the second lens element  120  is denoted by HIF221. The optical image capturing system satisfies: HIF211=1.1264 mm; HIF211/HOI=0.2253; HIF221=0 mm; and HIF221/HOI=0. 
     The third lens element  130  has negative refractive power and is made of a plastic material. The third lens element  130  has a concave object-side surface  132  and a convex image-side surface  134 , and both of the object-side surface  132  and the image-side surface  134  are aspheric. Each of the object-side surface  132  and the image-side surface  134  has an inflection point. The length of the outline curve of the maximum effective half diameter of the object-side surface  132  of the third lens element  130  is denoted as ARS31. The length of the outline curve of the maximum effective half diameter of the image-side surface  134  of the third lens element  130  is denoted as ARS32. The length of the outline curve of ½ entrance pupil diameter (HEP) of the object-side surface  132  of the third lens element  130  is denoted as ARE31. The length of the outline curve of ½ entrance pupil diameter (HEP) of the image-side surface  134  of the third lens element  130  is denoted as ARE32. The central thickness of the third lens element on the optical axis is TP3. 
     The distance parallel to an optical axis from an inflection point on the object-side surface  132  of the third lens element  130  that is the first nearest to the optical axis to an axial point on the object-side surface  132  of the third lens element  130  is denoted by SGI311. The distance parallel to an optical axis from an inflection point on the image-side surface  134  of the third lens element  130  that is the first nearest to the optical axis to an axial point on the image-side surface  134  of the third lens element  130  is denoted by SGI321. The optical image capturing system satisfies: SGI311=−0.3041 mm; |SGI311|/(|SGI311|+TP3)=0.4445; SGI321=−0.1172 mm; |SGI321|/(|SGI321|+TP3)=0.2357. 
     The distance perpendicular to the optical axis between the inflection point on the object-side surface  132  of the third lens element  130  that is the first nearest to the optical axis and the axial point on the object-side surface  132  of the third lens element  130  is denoted by HIF311. The distance perpendicular to the optical axis between the inflection point on the image-side surface  134  of the third lens element  130  that is the first nearest to the optical axis and the axial point on the image-side surface  134  of the third lens element  130  is denoted by HIF321. The optical image capturing system satisfies: HIF311=1.5907 mm; HIF311/HOI=0.3181; HIF321=1.3380 mm; HIF321/HOI=0.2676. 
     The fourth lens element  140  has positive refractive power and is made of a plastic material, and has a convex object-side surface  142  and a concave image-side surface  144 , and both of the object-side surface  142  and the image-side surface  144  are aspheric. The object-side surface  142  has two inflection points and the image-side surface  144  has an1 inflection point. The length of the outline curve of the maximum effective half diameter of the object-side surface  142  of the fourth lens element  140  is denoted as ARS41. The length of the outline curve of the maximum effective half diameter of the image-side surface  144  of the fourth lens element  140  is denoted as ARS42. The length of the outline curve of ½ entrance pupil diameter (HEP) of the object-side surface  142  of the fourth lens element  140  is denoted as ARE41, and the length of the outline curve of ½ entrance pupil diameter (HEP) of the image-side surface  144  of the fourth lens element  140  is denoted as ARS42. The central thickness of the fourth lens element on the optical axis is TP4. 
     The distance parallel to the optical axis from an inflection point on the object-side surface  142  of the fourth lens element  140  that is the first nearest to the optical axis to the axial point on the object-side surface  142  of the fourth lens element  140  is denoted by SGI411. The distance parallel to the optical axis from an inflection point on the image-side surface  144  of the fourth lens element  140  that is the first nearest to the optical axis to the axial point on the image-side surface  144  of the fourth lens element  140  is denoted by SGI421. The optical image capturing system satisfies: SGI411=0.0070 mm; |SGI411|/(|SGI411|+TP4)=0.0056; SGI421=0.0006 mm; |SGI421|/(|SGI421|+TP4)=0.0005. 
     The distance parallel to an optical axis from an inflection point on the object-side surface  142  of the fourth lens element  140  that is the second nearest to the optical axis to the axial point on the object-side surface  142  of the fourth lens element  140  is denoted by SGI412. The distance parallel to an optical axis from an inflection point on the image-side surface  144  of the fourth lens element  140  that is the second nearest to the optical axis to the axial point on the image-side surface  144  of the fourth lens element  140  is denoted by SGI422. The optical image capturing system satisfies: SGI412=−0.2078 mm; |SGI412|/(|SGI412|+TP4)=0.1439. 
     The perpendicular distance between the inflection point on the object-side surface  142  of the fourth lens element  140  that is nearest to the optical axis and the optical axis is denoted by HIF411. The perpendicular distance between the inflection point on the image-side surface  144  of the fourth lens element  140  that is nearest to the optical axis and the optical axis is denoted by HIF421, and the optical image capturing system satisfies: HIF411=0.4706 mm; HIF411/HOI=0.0941; HIF421=0.1721 mm; HIF421/HOI=0.0344. 
     The distance perpendicular to the optical axis between the inflection point on the object-side surface  142  of the fourth lens element  140  that is second nearest to the optical axis and the optical axis is denoted by HIF412. The distance perpendicular to the optical axis between the inflection point on the image-side surface  144  of the fourth lens element  140  that is second nearest to the optical axis and the optical axis is denoted by HIF422, and the optical image capturing system satisfies: HIF412=2.0421 mm; HIF412/HOI=0.4084. 
     The fifth lens element  150  has positive refractive power and is made of a plastic material, and has a convex object-side surface  152  and a convex image-side surface  154 , and both of the object-side surface  152  and the image-side surface  154  are aspheric. The object-side surface  152  has two inflection points and the image-side surface  154  has an inflection point. The length of the outline curve of the maximum effective half diameter of the object-side surface  152  of the fifth lens element  150  is denoted as ARS51. The length of the outline curve of the maximum effective half diameter of the image-side surface  154  of the fifth lens element  150  is denoted as ARS52. The length of the outline curve of ½ entrance pupil diameter (HEP) of the object-side surface  152  of the fifth lens element  150  is denoted as ARE51. The length of the outline curve of ½ entrance pupil diameter (HEP) of the image-side surface  154  of the fifth lens element  150  is denoted as ARE52. The central thickness of the fifth lens element is TP5. 
     The distance parallel to an optical axis from an inflection point on the object-side surface  152  of the fifth lens element  150  that is nearest to the optical axis to the axial point on the object-side surface  152  of the fifth lens element  150  is denoted by SGI511. The distance parallel to an optical axis from an inflection point on the image-side surface  154  of the fifth lens element  150  that is nearest to the optical axis to the axial point on the image-side surface  154  of the fifth lens element  150  is denoted by SGI521, and the optical image capturing system satisfies: SGI511=0.00364 mm; |SGI511|/(|SGI511|+TP5)=0.00338; SGI521=−0.63365 mm; |SGI521|/(|SGI521|+TP5)=0.37154. 
     The distance parallel to an optical axis from an inflection point on the object-side surface  152  of the fifth lens element  150  that is the second nearest to the optical axis to the axial point on the object-side surface  152  of the fifth lens element  150  is denoted by SGI512. The distance parallel to an optical axis from an inflection point on the image-side surface  154  of the fifth lens element  150  that is the second nearest to the optical axis to the axial point on the image-side surface  154  of the fifth lens element  150  is denoted by SGI522. The optical image capturing system satisfies: SGI512=−0.32032 mm; |SGI512|/(|SGI512|+TP5)=0.23009. 
     The distance parallel to an optical axis from an inflection point on the object-side surface  152  of the fifth lens element  150  that is the third nearest to the optical axis to the axial point on the object-side surface  152  of the fifth lens element  150  is denoted by SGI513. The distance parallel to an optical axis from an inflection point on the image-side surface  154  of the fifth lens element  150  that is the third nearest to the optical axis to the axial point on the image-side surface  154  of the fifth lens element  150  is denoted by SGI523. The optical image capturing system satisfies: SGI513=0 mm; |SGI513|/(|SGI513|+TP5)=0; SGI523=0 mm; |SGI523|/(|SGI523|+TP5)=0. 
     The distance parallel to an optical axis from an inflection point on the object-side surface  152  of the fifth lens element  150  that is the fourth nearest to the optical axis to the axial point on the object-side surface  152  of the fifth lens element  150  is denoted by SGI514. The distance parallel to an optical axis from an inflection point on the image-side surface  154  of the fifth lens element  150  that is the fourth nearest to the optical axis to the axial point on the image-side surface  154  of the fifth lens element  150  is denoted by SGI524, and the optical image capturing system satisfies: SGI514=0 mm; |SGI514|/(|SGI514|+TP5)=0; SGI524=0 mm; |SGI524|/(|SGI524|+TP5)=0. 
     The perpendicular distance between the optical axis and the inflection point on the object-side surface  152  of the fifth lens element  150  that is the nearest to the optical axis is denoted by HIF511. The perpendicular distance between the optical axis and the inflection point on the image-side surface  154  of the fifth lens element  150  that is the nearest to the optical axis is denoted by HIF521, and the optical image capturing system satisfies: HIF511=0.28212 mm; HIF511/HOI=0.05642; HIF521=2.13850 mm; HIF521/HOI=0.42770. 
     The distance perpendicular to the optical axis between the inflection point on the object-side surface  152  of the fifth lens element  150  that is the second nearest to the optical axis and the optical axis is denoted by HIF512. The distance perpendicular to the optical axis between the inflection point on the image-side surface  154  of the fifth lens element  150  that is the second nearest to the optical axis and the optical axis is denoted by HIF522, and the optical image capturing system satisfies: HIF512=2.51384 mm; HIF512/HOI=0.50277. 
     The distance perpendicular to the optical axis between the inflection point on the object-side surface  152  of the fifth lens element  150  that is the third nearest to the optical axis and the optical axis is denoted by HIF513. The distance perpendicular to the optical axis between the inflection point on the image-side surface  154  of the fifth lens element  150  that is the third nearest to the optical axis and the optical axis is denoted by HIF523, and the optical image capturing system satisfies: HIF513=0 mm; HIF513/HOI=0; HIF523=0 mm; HIF523/HOI=0. 
     The distance perpendicular to the optical axis between the inflection point on the object-side surface  152  of the fifth lens element  150  that is the fourth nearest to the optical axis and the optical axis is denoted by HIF514. The distance perpendicular to the optical axis between the inflection point on the image-side surface  154  of the fifth lens element  150  that is the fourth nearest to the optical axis and the optical axis is denoted by HIF524, and the optical image capturing system satisfies: HIF514=0 mm; HIF514/HOI=0; HIF524=0 mm; HIF524/HOI=0. 
     The sixth lens element  160  has negative refractive power and is made of a plastic material, and has a concave object-side surface  162  and a concave image-side surface  164 . The object-side surface  162  has two inflection points and the image-side surface  164  has an inflection point. Therefore, the incident angle of each field of view on the sixth lens element  160  can be effectively adjusted and the spherical aberration can thus be mitigated. The length of the outline curve of the maximum effective half diameter of the object-side surface  162  of the sixth lens element  160  is denoted as ARS61. The length of the outline curve of the maximum effective half diameter of the image-side surface  164  of the sixth lens element  160  is denoted as ARS62. The length of the outline curve of ½ entrance pupil diameter (HEP) of the object-side surface  162  of the sixth lens element  160  is denoted as ARE61, and the length of the outline curve of ½ entrance pupil diameter (HEP) of the image-side surface  164  of the sixth lens element  160  is denoted as ARE62. The central thickness of the sixth lens element on the optical axis is TP6. 
     The distance parallel to an optical axis from an inflection point on the object-side surface  162  of sixth lens element  160  that is the nearest to the optical axis to an axial point on the object-side surface  162  of the sixth lens element  160  is denoted by SGI611. The distance parallel to an optical axis from an inflection point on the image-side surface of  164  the sixth lens element  160  that is the nearest to the optical axis to an axial point on the image-side surface  164  of the sixth lens element  160  is denoted by SGI621. The optical image capturing system satisfies: SGI611=−0.38558 mm; |SGI611|/(|SGI611|+TP6)=0.27212; SGI621=0.12386 mm; |SGI621|/(|SGI621|+TP6)=0.10722. 
     The distance parallel to the optical axis from the inflection point on the object-side surface  162  of the sixth lens element  160  that is the second nearest to the optical axis to an axial point on the object-side surface  162  of the sixth lens element  160  is denoted by SGI612. The distance parallel to the optical axis from the inflection point on the image-side surface  164  of the sixth lens element  160  that is the second nearest to the optical axis to an axial point on the image-side surface  164  of the sixth lens element  160  is denoted by SGI622. The optical image capturing system satisfies: SGI612=−0.47400 mm; |SGI612|/(|SGI612|+TP6)=0.31488; SGI622=0 mm; |SGI622|/(|SGI622|+TP6)=0. 
     The distance perpendicular to the optical axis between the inflection point on object-side surface  162  of the sixth lens element  160  that is the nearest to the optical axis and the optical axis is denoted by HIF611. The distance perpendicular to the optical axis between the inflection point on the image-side surface  164  of the sixth lens element  160  that is the nearest to the optical axis and the optical axis is denoted by HIF621. The optical image capturing system satisfies: HIF611=2.24283 mm; HIF611/HOI=0.44857; HIF621=1.07376 mm; HIF621/HOI=0.21475. 
     The distance perpendicular to the optical axis between the inflection point on the object-side surface  162  of the sixth lens element  160  that is the second nearest to the optical axis and the optical axis is denoted by HIF612, The distance perpendicular to the optical axis between the inflection point on the image-side surface  164  of the sixth lens element  160  that is the second nearest to the optical axis and the optical axis is denoted by HIF622. The optical image capturing system satisfies: HIF612=2.48895 mm and HIF612/HOI=0.49779. 
     The distance perpendicular to the optical axis between the inflection point on the object-side surface  162  of the sixth lens element  160  that is the third nearest to the optical axis and the optical axis is denoted by HIF613. The distance perpendicular to the optical axis between the inflection point on the image-side surface  164  of the sixth lens element  160  that is the third nearest to the optical axis and the optical axis is denoted by HIF623, and the optical image capturing system satisfies: HIF613=0 mm; HIF613/HOI=0; HIF623=0 mm; HIF623/HOI=0. 
     The distance perpendicular to the optical axis between the inflection point on the object-side surface  162  of the sixth lens element  160  that is the fourth nearest to the optical axis and the optical axis is denoted by HIF614. The distance perpendicular to the optical axis between the inflection point on the image-side surface  164  of the sixth lens element  160  that is the fourth nearest to the optical axis and the optical axis is denoted by HIF624, and the optical image capturing system satisfies: HIF614=0 mm; HIF614/HOI=0; HIF624=0 mm; HIF624/HOI=0. 
     The IR-bandstop Filter  180  is made of glass and disposed between the sixth lens element  160  and the image plane  190 , and it does not affect the focal length of the optical image capturing system. 
     In the optical image capturing system of this embodiment, f is a focal length of the optical image capturing system, HEP is an entrance pupil diameter of the optical image capturing system, HAF is a half of the maximum field angle of the optical image capturing system. The detailed parameters are shown as below: f=4.075 mm; f/HEP=1.4; and HAF=50.001 degrees, and tan(HAF)=1.1918. 
     In the optical image capturing system of this embodiment, f1 is a focal length of the first lens element  110 , f6 is a focal length of the sixth lens element  160 , and the optical image capturing system satisfies: f1=−7.828 mm; |f/f1|=0.52060; f6=−4.886; and |f1|&gt;|f6|. 
     In the optical image capturing system of this embodiment, f2, f3, f4 and f5 are focus lengths of the second lens element  120  to the fifth lens element  150 , respectively, and the optical image capturing system satisfies: |f2|+|f3|+|f4|+|f5|=95.50815 mm; |f1|+|f6|=12.71352 mm and |f2|+|f3|+|f4|+|f5|&gt;|f1|+|f6|. 
     The ratio of the focal length f of the optical image capturing system to a focal length fp of each lens element with positive refractive power is PPR, and the ratio of the focal length f of the optical image capturing system to a focal length fn of each lens element with negative refractive power is NPR. In the optical image capturing system of this embodiment, a sum of the PPR of all lens elements with positive refractive powers is ΣPPR=f/f2+f/f4+f/f5=1.63290, and a sum of the PPR of all lens elements with negative refractive powers is ΣNPR=|f/f1|+|f/f3|+|f/f6|=1.51305, and ΣPPR/|ΣNPR|=1.07921. The following conditions are also satisfied: |f/f2|=0.69101; |f/f3|=0.15834; |f/f4|=0.06883; |f/f5|=0.87305; |f/f6|=0.83412. 
     In the optical image capturing system of this embodiment, the distance from the object-side surface  112  of the first lens element  110  to the image-side surface  164  of the sixth lens element  160  is InTL. The distance from the object-side surface  112  of the first lens element  110  to the image plane  190  is HOS. The distance from the aperture stop  100  to image plane  190  is InS. A half of a diagonal of an effective sensing area of the image-sensing device  192  is HOI. The distance from the image-side surface  164  of the sixth lens element to the image plane  190  is BFL. The optical image capturing system satisfies: InTL+BFL=HOS; HOS=19.54120 mm; HOI=5.0 mm; HOS/HOI=3.90824; HOS/f=4.7952; InS=11.685 mm; and InS/HOS=0.59794. 
     In the optical image capturing system of this embodiment, the sum of central thicknesses of all lens elements with refractive powers on the optical axis is ΣTP, and the optical image capturing system satisfies: ΣTP=8.13899 mm; and ΣTP/InTL=0.52477. Therefore, the contrast ratio for the image formation in the optical image capturing system can be improved without sacrificing the yield rate for manufacturing the lens element, and a proper back focal length is provided to accommodate other optical components in the optical image capturing system. 
     In the optical image capturing system of this embodiment, the curvature radius of the object-side surface  112  of the first lens element  110  is R1, and the curvature radius of the image-side surface  114  of the first lens element  120  is R2, and the optical image capturing system satisfies: |R1/R2|=8.99987. Therefore, the first lens element  110  may have a suitable magnitude of positive refractive power, to reduce the increase rate of the spherical aberration. 
     In the optical image capturing system of this embodiment, a radius of curvature of the object-side surface  162  of the sixth lens element  160  is R11, the curvature radius of the image-side surface  164  of the sixth lens element  160  is R2, and the optical image capturing system satisfies: (R11−R12)/(R11+R12)=1.27780. This configuration is beneficial to the correction of the astigmatism generated by the optical image capturing system. 
     In the optical image capturing system of this embodiment, a sum of focal lengths of all lens elements with positive refractive power is ΣPP, and the optical image capturing system satisfies: ΣPP=f2+f4+f5=69.770 mm; and f5/(f2+f4+f5)=0.067. With this configuration, the positive refractive power of a single lens element can be distributed to other lens elements with positive refractive powers in an appropriate way, to suppress the generation of noticeable aberrations when the incident light is propagating in the optical system. 
     In the optical image capturing system of this embodiment, a sum of focal lengths of all lens elements with negative refractive power is ΣNP, and the optical image capturing system satisfies: ΣNP=f1+f3+f6=−38.451 mm; and f6/(f1+f3+f6)=0.127. With this configuration, the negative refractive power of the sixth lens element  160  may be distributed to other lens elements with negative refractive power in an appropriate way, to suppress the generation of noticeable aberrations when the incident light is propagating in the optical system. 
     In the optical image capturing system of this embodiment, the distance between the first lens element  110  and the second lens element  120  on the optical axis is IN12, and the optical image capturing system satisfies: IN12=6.418 mm; IN12/f=1.57491. With this configuration, the chromatic aberration of the lens elements can be mitigated, such that their performance is improved. 
     In the optical image capturing system of this embodiment, the distance between the fifth lens element  150  and the sixth lens element  160  on the optical axis is IN56, and the optical image capturing system satisfies: IN56=0.025 mm; IN56/f=0.00613. With this configuration, the chromatic aberration of the lens elements can be mitigated, such that their performance is improved. 
     In the optical image capturing system of this embodiment, the central thicknesses of the first lens element  110  and the second lens element  120  on the optical axis are TP1 and TP2, respectively. The optical image capturing system satisfies: TP1=1.934 mm; TP2=2.486 mm; and (TP1+IN12)/TP2=3.36005.1 With this configuration, the sensitivity of the optical image capturing system can be controlled, and its performance can be improved. 
     In the optical image capturing system of this embodiment, the central thicknesses of the fifth lens element  150  and the sixth lens element  160  on the optical axis are TP5 and TP6, respectively. The distance between that two lens elements on the optical axis is IN56, and the optical image capturing system satisfies: TP5=1.072 mm; TP6=1.031 mm; and (TP6+IN56)/TP5=0.98555. Therefore, the sensitivity of the optical image capturing system can be controlled and the total height of the optical image capturing system can be reduced. 
     In the optical image capturing system of this embodiment, a distance between the third lens element  130  and the fourth lens element  140  on the optical axis is IN34. The distance between the fourth lens element  140  and the fifth lens element  150  on the optical axis is IN45, and the optical image capturing system satisfies: IN34=0.401 mm; IN45=0.025 mm; and TP4/(IN34+TP4+IN45)=0.74376. Therefore, the aberration generated when the incident light is propagating inside the optical system can be corrected slightly layer upon layer, and the total height of the optical image capturing system can be reduced. 
     In the optical image capturing system of this embodiment, a distance parallel to an optical axis from a maximum effective half diameter position to an axial point on the object-side surface  152  of the fifth lens element  150  is InRS51. The distance parallel to an optical axis from a maximum effective half diameter position to an axial point on the image-side surface  154  of the fifth lens element  150  is InRS52. The central thickness of the fifth lens element  150  is TP5. The optical image capturing system satisfies: InRS51=−0.34789 mm; InRS52=−0.88185 mm; |InRS51|/TP5=0.32458 and |InRS52|/TP5=0.82276. This configuration is favorable to the manufacturing and forming of lens elements, as well as the minimization of the optical image capturing system. 
     In the optical image capturing system of this embodiment, the distance perpendicular to the optical axis between a critical point on the object-side surface  152  of the fifth lens element  150  and the optical axis is HVT51. The distance perpendicular to the optical axis between a critical point on the image-side surface  154  of the fifth lens element  150  and the optical axis is HVT52, and the optical image capturing system satisfies: HVT51=0.515349 mm; HVT52=0 mm. 
     In the optical image capturing system of this embodiment, a distance parallel to an optical axis from a maximum effective half diameter position to an axial point on the object-side surface  162  of the sixth lens element  160  is InRS61, a distance parallel to an optical axis from a maximum effective half diameter position to an axial point on the image-side surface  164  of the sixth lens element  160  is InRS62, and the central thickness of the sixth lens element  160  is TP6, and the optical image capturing system satisfies: InRS61=−0.58390 mm; InRS62=0.41976 mm; |InRS61|/TP6=0.56616 and |InRS62|/TP6=0.40700. This configuration is favorable to the manufacturing and forming of lens elements, as well as the minimization of the optical image capturing system. 
     In the optical image capturing system of this embodiment, the distance perpendicular to the optical axis between a critical point on the object-side surface  162  of the sixth lens element  160  and the optical axis is HVT61. The distance perpendicular to the optical axis between a critical point C62 on the image-side surface  164  of the sixth lens element  160  and the optical axis is HVT62, and the optical image capturing system satisfies: HVT61=0 mm; HVT62=0 mm. 
     In the optical image capturing system of this embodiment, the optical image capturing system satisfies: HVT51/HOI=0.1031. Therefore, the aberration for the surrounding field of view for the optical image capturing system can be corrected. 
     In the optical image capturing system of this embodiment, the optical image capturing system satisfies: HVT51/HOS=0.02634. Therefore, the aberration for the surrounding field of view for the optical image capturing system can be corrected. 
     In the optical image capturing system of this embodiment, the second lens element  120 , the third lens element  130  and the sixth lens element  160  have negative refractive powers, and the Coefficient of dispersion of the second lens element is NA2, the Coefficient of dispersion of the third lens element is NA3, the Coefficient of dispersion of the sixth lens element is NA6, and the optical image capturing system satisfies: NA6/NA2≤1. With this configuration, the chromatic aberration of the optical image capturing system can be corrected. 
     In the optical image capturing system of this embodiment, TV distortion for image formation in the optical image capturing system is denoted by TDT, the optical distortion for image formation in the optical image capturing system is ODT, and the optical image capturing system satisfies: TDT=2.124%; ODT=5.076%. 
     In the optical image capturing system of this embodiment, the transverse aberration of the visible rays with the longest operation wavelength from a positive-directional tangential fan, which passes through the edge of the entrance pupil and strikes at the position of 0.7 field of view on the image plane, is denoted as PLTA, and PLTA=0.006 mm. The transverse aberration of the visible rays with the shortest operation wavelength from a positive-directional tangential fan, which passes through the edge of the entrance pupil and strikes at the position of 0.7 field of view on the image plane, is denoted as PSTA, and PSTA=0.005 mm. The transverse aberration of the visible rays with the longest operation wavelength from the negative-directional tangential fan, which passes through the edge of the entrance pupil and strike at the position of 0.7 field of view on the image plane, is denoted as NLTA, and NLTA=0.004 mm. The transverse aberration of the visible rays with the shortest operation wavelength from the negative-directional tangential fan, which passes through the edge of the entrance pupil and strikes at the position of 0.7 field of view on the image plane, is denoted as NSTA, and NSTA=−0.007 mm. The transverse aberration of the visible rays with the longest operation wavelength from the sagittal fan, which passes through the edge of the entrance pupil and strikes at the position of 0.7 field of view on the image plane, is denoted as SLTA, and SLTA=−0.003 mm. The transverse aberration of the visible rays with the shortest operation wavelength from the sagittal fan, which passes through the edge of the entrance pupil and strikes at the position of 0.7 field of view on the image plane, is denoted as SSTA, and SSTA=0.008 mm. 
     Please refer to  FIG. 7 . The optical image capturing system of this embodiment may include an image sensing module (not shown in  FIG. 7 ), and the image sensing module includes a substrate and a photosensitive element disposed on the substrate. The optical image capturing system may include a first positioning element  710  which comprises a base  712  and a holder  714 . The base has an open accommodation space formed on the substrate to accommodate the photosensitive element. The holder is in a hollow shape and opaque. Optionally, the holder can be formed integrally. The holder  714  has a cylinder  7141  and a basement  7142 . The holder  714  has a first through hole  7143  and a second through hole  7144  formed on two opposite ends thereof, respectively. The first through hole  7143  is connected with the cylinder  7141 , and the second through hole  7144  is connected with the basement  7142 . A maximum value of the minimum side length of the basement perpendicular to the optical axis is denoted by PhiD, and PhiD=6.838 millimeter. 
     The optical image capturing system of this embodiment includes a second positioning element  720  which is accommodated in the holder  714  of the first positioning element  710 , and comprises a positioning part  722  and a connection part  724 . The positioning part  722  is in a hollow shape and has a third through hole  7241  and a fourth through hole  7242  formed on two opposite ends thereof on the optical axis. The third through hole  7241  is connected with the positioning part  722 , and the fourth through hole  7242  is connected with the basement  7142 . The positioning part  722  is in direct contact with any of the lens elements, and configured to accommodate, arrange and position the lens elements on the optical axis. The connection part  724  is disposed outside the positioning part  722  and can be directly combined with the cylinder  7141 , so that the second positioning element  720  can be accommodated in the holder  714  of the first positioning element  710 , and the optical image capturing system can adjust and position the focal length in optical axis direction. The maximum outer diameter of the connection part perpendicular to the surface of the optical axis is denoted by PhiC, and PhiC=6.638 mm. The maximum inner hole diameter of the fourth through hole  7242  is denoted as Phi4. The connection part  724  is threaded and the second positioning element  720  can be screwed into the holder  714  of the first positioning element  710 . 
     Any of lens elements of this embodiment can be indirectly disposed in the first positioning element  710  by the second positioning element  720 , and disposed closer to the third through hole  7241  than the image-sensing device, and face the image-sensing device. 
     In this embodiment, the lens element which is nearest to the image plane is sixth lens element  160 , a maximum effective diameter of the image-side surface  164  of the sixth lens element  160  is denoted as PhiA6 which satisfies condition as follows: PhiA6=a double of EHD62=6.438 mm. The image-side surface is aspheric, and cutoff points of the maximum effective diameter include cutoff points of the aspheric surface. The ineffective half diameter (IHD) of the image-side surface  164  of sixth lens element  160  is a surface section extended from the cutoff points of the maximum effective half diameter of the same surface in a direction away from the optical axis. In this embodiment, the lens element which is nearest to the image plane is sixth lens element  160 , The maximum diameter of the image-side surface is denoted as PhiB, which satisfies the following condition: PhiB=a double of (a maximum EHD 62+a maximum IHD)=PhiA6+a double of a (maximum IHD)=6.5 mm. 
     In this embodiment, the maximum effective diameter of the image-side surface of the lens element which is nearest to the image plane (that is, the image space) is also called optical exit pupil and denoted as PhiA6. The pupil magnification ratio of the optical image capturing system is denoted by PMR, which satisfies the following condition: PMR=PhiA6/HEP=3.3888. A ratio to pupil and image is denoted by PMMR, which satisfies the following condition: PMMR=PhiA6/2HOI=0.8607. A condensed ratio is denoted by PSMR, and relationship is satisfied: PSMR=PhiA6/InTL=0.6535. 
     In this embodiment, the maximum effective diameter of the object-side surface  112  of the first lens element  110 , is denoted as PhiA11, and the maximum effective diameter of the image-side surface  114  of the first lens element  110  is denoted as PhiA12, which satisfies the following condition: PhiA11=6.932 mm; PhiA12=4.644 mm. 
     In this embodiment, a ratio of the maximum effective diameter PhiA11 of the object-side surface  112  of the first lens element  110  to the maximum effective diameter PhiA6 of the image-side surface  164  of the sixth lens element  160  is denoted as a slim frame ratio (SFR), which satisfies the following condition: SFR=PhiA11/PhiA6=1.079. 
     The parameters of the lens elements of the first embodiment are listed in Table 1 and Table 2. 
     
       
         
           
               
             
               
                 TABLE 1 
               
               
                   
               
               
                 Lens Parameters for the First Embodiment 
               
               
                 f (focus length) = 5.709 mm; f/HEP = 1.9; HAF (half angle of view) = 
               
               
                 52.5 deg 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
            
               
                 Surface No. 
                 Curvature Radius 
                 Thickness (mm) 
                 Material 
               
               
                   
               
            
           
           
               
               
               
               
               
            
               
                 0 
                 Object 
                 Plate 
                 Plate 
                   
               
               
                 1 
                 First lens 
                 −40.99625704 
                 1.934 
                 Plastic 
               
               
                 2 
                   
                 4.555209289 
                 5.923 
               
               
                 3 
                 Aperture 
                 Plate 
                 0.495 
               
               
                   
                 stop 
               
               
                 4 
                 Second lens 
                 5.333427366 
                 2.486 
                 Plastic 
               
               
                 5 
                   
                 −6.781659971 
                 0.502 
               
               
                 6 
                 Third lens 
                 −5.697794287 
                 0.380 
                 Plastic 
               
               
                 7 
                   
                 −8.883957518 
                 0.401 
               
               
                 8 
                 Fourth lens 
                 13.19225664 
                 1.236 
                 Plastic 
               
               
                 9 
                   
                 21.55681832 
                 0.025 
               
               
                 10 
                 Fifth lens 
                 8.987806345 
                 1.072 
                 Plastic 
               
               
                 11 
                   
                 −3.158875374 
                 0.025 
               
               
                 12 
                 Sixth lens 
                 −29.46491425 
                 1.031 
                 Plastic 
               
               
                 13 
                   
                 3.593484273 
                 2.412 
               
               
                 14 
                 IR-bandstop 
                 Plate 
                 0.200 
               
               
                   
                 Filter 
               
               
                 15 
                   
                 Plate 
                 1.420 
               
               
                 16 
                 Image plate 
                 Plate 
               
               
                   
               
            
           
           
               
               
               
               
            
               
                 Surface No. 
                 Refractive Index 
                 Coefficient of Dispersion 
                 Focus length 
               
               
                   
               
               
                 0 
               
               
                 1 
                 1.515 
                 56.55 
                 −7.828 
               
               
                 2 
               
               
                 3 
               
               
                 4 
                 1.544 
                 55.96 
                 5.897 
               
               
                 5 
               
               
                 6 
                 1.642 
                 22.46 
                 −25.738 
               
               
                 7 
               
               
                 8 
                 1.544 
                 55.96 
                 59.205 
               
               
                 9 
               
               
                 10 
                 1.515 
                 56.55 
                 4.668 
               
               
                 11 
               
               
                 12 
                 1.642 
                 22.46 
                 −4.886 
               
               
                 13 
               
               
                 14 
                 1.517 
                 64.13 
               
               
                 15 
               
               
                 16 
               
               
                   
               
               
                 Reference wavelength = 555 nm; shield position: 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 mm 
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 2 
               
               
                   
               
               
                 Aspheric Coefficients of the first embodiment 
               
               
                 Table 2: Aspheric Coefficients 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
            
               
                   
                 Surface No 
               
            
           
           
               
               
               
               
               
            
               
                   
                 1 
                 2 
                 4 
                 5 
               
               
                   
               
               
                 k 
                 4.310876E+01 
                 −4.707622E+00 
                 2.616025E+00 
                 2.445397E+00 
               
               
                 A4 
                 7.054243E−03 
                 1.714312E−02 
                 −8.377541E−03 
                 −1.789549E−02 
               
               
                 A6 
                 −5.233264E−04 
                 −1.502232E−04 
                 −1.838068E−03 
                 −3.657520E−03 
               
               
                 A8 
                 3.077890E−05 
                 −1.359611E−04 
                 1.233332E−03 
                 −1.131622E−03 
               
               
                 A10 
                 −1.260650E−06 
                 2.680747E−05 
                 −2.390895E−03 
                 1.390351E−03 
               
               
                 A12 
                 3.319093E−08 
                 −2.017491E−06 
                 1.998555E−03 
                 −4.152857E−04 
               
               
                 A14 
                 −5.051600E−10 
                 6.604615E−08 
                 −9.734019E−04 
                 5.487286E−05 
               
               
                 A16 
                 3.380000E−12 
                 −1.301630E−09 
                 2.478373E−04 
                 −2.919339E−06 
               
               
                   
               
            
           
           
               
               
            
               
                   
                 Surface No 
               
            
           
           
               
               
               
               
               
            
               
                   
                 6 
                 7 
                 8 
                 9 
               
               
                   
               
               
                 k 
                 5.645686E+00 
                 −2.117147E+01 
                 −5.287220E+00 
                 6.200000E+01 
               
               
                 A4 
                 −3.379055E−03 
                 −1.370959E−02 
                 −2.937377E−02 
                 −1.359965E−01 
               
               
                 A6 
                 −1.225453E−03 
                 6.250200E−03 
                 2.743532E−03 
                 6.628518E−02 
               
               
                 A8 
                 −5.979572E−03 
                 −5.854426E−03 
                 −2.457574E−03 
                 −2.129167E−02 
               
               
                 A10 
                 4.556449E−03 
                 4.049451E−03 
                 1.874319E−03 
                 4.396344E−03 
               
               
                 A12 
                 −1.177175E−03 
                 −1.314592E−03 
                 −6.013661E−04 
                 −5.542899E−04 
               
               
                 A14 
                 1.370522E−04 
                 2.143097E−04 
                 8.792480E−05 
                 3.768879E−05 
               
               
                 A16 
                 −5.974015E−06 
                 −1.399894E−05 
                 −4.770527E−06 
                 −1.052467E−06 
               
               
                   
               
            
           
           
               
               
            
               
                   
                 Surface No 
               
            
           
           
               
               
               
               
               
            
               
                   
                 10 
                 11 
                 12 
                 13 
               
               
                   
               
               
                 k 
                 −2.114008E+01 
                 −7.699904E+00 
                 −6.155476E+01 
                 −3.120467E−01 
               
               
                 A4 
                 −1.263831E−01 
                 −1.927804E−02 
                 −2.492467E−02 
                 −3.521844E−02 
               
               
                 A6 
                 6.965399E−02 
                 2.478376E−03 
                 −1.835360E−03 
                 5.629654E−03 
               
               
                 A8 
                 −2.116027E−02 
                 1.438785E−03 
                 3.201343E−03 
                 −5.466925E−04 
               
               
                 A10 
                 3.819371E−03 
                 −7.013749E−04 
                 −8.990757E−04 
                 2.231154E−05 
               
               
                 A12 
                 −4.040283E−04 
                 1.253214E−04 
                 1.245343E−04 
                 5.548990E−07 
               
               
                 A14 
                 2.280473E−05 
                 −9.943196E−06 
                 −8.788363E−06 
                 −9.396920E−08 
               
               
                 A16 
                 −5.165452E−07 
                 2.898397E−07 
                 2.494302E−07 
                 2.728360E−09 
               
               
                   
               
            
           
         
       
     
     The values associated with the outline curve length may be deduced from Table 1 and Table 2. 
     
       
         
           
               
             
               
                   
               
               
                 The first embodiment (Primary reference wavelength: 555 nm) 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
               
            
               
                   
                   
                 ARE 
                 ARE − 
                 2(ARE/ 
                   
                 ARE/ 
               
               
                 ARE 
                 1/2(HEP) 
                 value 
                 1/2(HEP) 
                 HEP)% 
                 TP 
                 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 
                 ARS − 
                 (ARS/ 
                   
                 ARS/ 
               
               
                 ARS 
                 EHD 
                 value 
                 EHD 
                 EHD)% 
                 TP 
                 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% 
               
               
                   
               
            
           
         
       
     
     Table 1 is the detailed structure data to the first embodiment in  FIG. 1A , wherein the unit of the curvature radius, the thickness, the distance, and the focal length is millimeters (mm). Surfaces 0-16 illustrate the surfaces from the object side to the image plane in the optical image capturing system. Table 2 is the aspheric coefficients of the first embodiment, wherein k is the conic coefficient in the aspheric surface formula, and A1-A20 are the first to the twentieth order aspheric surface coefficient. Furthermore, the tables in the following embodiments are referenced to the schematic view and the aberration graphs, respectively, and definitions of parameters in the tables are equal to those in the Table 1 and the Table 2, so the repetitious details will not be given here. 
     The Second Embodiment 
     Please refer to  FIGS. 2A and 2B .  FIG. 2A  is a schematic view of an optical image capturing system of a second embodiment of the present invention.  FIG. 2B  shows curve diagrams of longitudinal spherical aberration, astigmatic field, and optical distortion of the optical image capturing system in the order from left to right of the second embodiment of the present invention.  FIG. 2C  is a transverse aberration diagram of the longest operation wavelength and the shortest operation wavelength for tangential fan and sagittal fan, in which the longest operation wavelength and the shortest operation wavelength pass through an edge of the entrance pupil and strike at the position of 0.7 field of view on the image plane, according to the second embodiment of the present invention. As shown in  FIG. 2A , in order along an optical axis from an object side to an image side, the optical image capturing system comprises a first lens element  210 , a second lens element  220 , an aperture stop  200 , a third lens element  230 , a fourth lens element  240 , a fifth lens element  250 , a sixth lens element  260 , an IR-bandstop Filter  280 , an image plane  290  and an image-sensing device  292 . 
     The first lens element  210  has positive refractive power, and is made of a plastic material. The first lens element  210  has a concave object-side surface  212  and a convex image-side surface  214 , and both of the object-side surface  212  and the image-side surface  214  are aspheric. Each of the object-side surface  212  and the image-side surface  214  has an inflection point. 
     The second lens element  220  has negative refractive power and is made of a plastic material, and has a convex object-side surface  222  and a concave image-side surface  224 , and both of the object-side surface  222  and the image-side surface  224  are aspheric. Each of the object-side surface  222  and the image-side surface  224  has an inflection point. 
     The third lens element  230  has positive refractive power and is made of a plastic material, and has a convex object-side surface  232  and a concave image-side surface  234 , and both of the object-side surface  232  and the image-side surface  234  are aspheric. The object-side surface  232  has an inflection point and the image-side surface  234  has three inflection points. 
     The fourth lens element  240  has positive refractive power and is made of a plastic material, and has a convex object-side surface  242  and a convex image-side surface  244 , and both of the object-side surface  242  and the image-side surface  244  are aspheric. The object-side surface  242  has three inflection points and the image-side surface  244  has an inflection points. 
     The fifth lens element  250  has positive refractive power and is made of a plastic material, and has a concave object-side surface  252  and a convex image-side surface  254 , and both of the object-side surface  252  and the image-side surface  254  are aspheric. Each of the object-side surface  252  and the image-side surface  254  has an inflection point. 
     The sixth lens element  260  has negative refractive power and is made of a plastic material, and has a convex object-side surface  262  and a concave image-side surface  264 . With this configuration, the back focal length can be shortened to keep small in size. Furthermore, each of the object-side surface  262  and the image-side surface  264  of the sixth lens element  260  has an inflection point, so that the angle of incident with incoming light from an off-axis view field can be suppressed effectively and, the aberration in the off-axis view field can be corrected. 
     The IR-bandstop Filter  280  is made of glass and disposed between the sixth lens element  260  and the image plane  290 , and it does not affect the focal length of the optical image capturing system. 
     The parameters of the lens elements of the second embodiment are listed in Table 3 and Table 4. 
     
       
         
           
               
             
               
                 TABLE 3 
               
               
                   
               
               
                 Lens Parameters for the Second Embodiment 
               
               
                 f (focus length) = 1.162 mm; f/HEP = 1.5; HAF (half angle of view) = 
               
               
                 40.053 deg 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
            
               
                 Surface No. 
                 Curvature Radius 
                 Thickness (mm) 
                 Material 
               
               
                   
               
            
           
           
               
               
               
               
               
            
               
                 0 
                 Object 
                 1E+18 
                 1E+18 
                   
               
               
                 1 
                 First lens 
                 −2.792987005 
                 0.205 
                 Plastic 
               
               
                 2 
                   
                 −0.753742795 
                 0.020 
               
               
                 3 
                 Second lens 
                 1.469594288 
                 0.150 
                 Plastic 
               
               
                 4 
                   
                 0.642041338 
                 0.058 
               
               
                 5 
                 Aperture 
                 1E+18 
                 0.033 
               
               
                   
                 stop 
               
               
                 6 
                 Third lens 
                 2.059448777 
                 0.159 
                 Plastic 
               
               
                 7 
                   
                 7.302982065 
                 0.029 
               
               
                 8 
                 Fourth lens 
                 11.19212701 
                 0.155 
                 Plastic 
               
               
                 9 
                   
                 −22.98655342 
                 0.069 
               
               
                 10 
                 Fifth lens 
                 −0.795625279 
                 0.250 
                 Plastic 
               
               
                 11 
                   
                 −0.434552592 
                 0.020 
               
               
                 12 
                 Sixth lens 
                 0.675244759 
                 0.150 
                 Plastic 
               
               
                 13 
                   
                 0.48384088 
                 0.103 
               
               
                 14 
                 IR-bandstop 
                 1E+18 
                 0.125 
                 BK_7 
               
               
                   
                 Filter 
               
               
                 15 
                   
                 1E+18 
                 0.469 
               
               
                 16 
                 Image plate 
                 1E+18 
                 0.005 
               
               
                   
               
            
           
           
               
               
               
               
            
               
                 Surface No. 
                 Refractive Index 
                 Coefficient of Dispersion 
                 Focus length 
               
               
                   
               
               
                 0 
               
               
                 1 
                 1.661 
                 20.381 
                 1.488 
               
               
                 2 
               
               
                 3 
                 1.515 
                 56.524 
                 −2.354 
               
               
                 4 
               
               
                 5 
               
               
                 6 
                 1.544 
                 55.938 
                 5.200 
               
               
                 7 
               
               
                 8 
                 1.515 
                 56.524 
                 14.603 
               
               
                 9 
               
               
                 10 
                 1.544 
                 55.938 
                 1.410 
               
               
                 11 
               
               
                 12 
                 1.661 
                 20.381 
                 −3.729 
               
               
                 13 
               
               
                 14 
                 NBK7 
               
               
                 15 
               
               
                 16 
               
               
                   
               
               
                 Reference wavelength = 555 nm; shield position: the clear aperture of the second surface is 0.475 mm; the clear aperture of the eleventh surface is 0.510 mm 
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 4 
               
               
                   
               
               
                 Aspheric Coefficients of the second embodiment 
               
               
                 Table 4: Aspheric Coefficients 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
            
               
                   
                 Surface No. 
               
            
           
           
               
               
               
               
               
            
               
                   
                 1 
                 2 
                 3 
                 4 
               
               
                   
               
               
                 k 
                 −8.995291E+01 
                 −3.526302E+01 
                 −8.996924E+01 
                 −2.208683E+01 
               
               
                 A4 
                 5.736383E−01 
                 1.626704E+00 
                 1.085437E+01 
                 2.596467E+00 
               
               
                 A6 
                 1.717325E+00 
                 −8.056542E+00 
                 −1.761758E+02 
                 −8.494902E+01 
               
               
                 A8 
                 −1.035287E−01 
                 1.181387E+02 
                 1.918411E+03 
                 1.051682E+03 
               
               
                 A10 
                 −3.047870E+01 
                 −8.383392E+02 
                 −1.278141E+04 
                 −8.089801E+03 
               
               
                 A12 
                 1.160266E+02 
                 3.272753E+03 
                 4.655210E+04 
                 3.357582E+04 
               
               
                 A14 
                 −1.357954E+02 
                 −5.879604E+03 
                 −7.351965E+04 
                 −5.884031E+04 
               
               
                 A16 
                 0.000000E+00 
                 2.301784E+03 
                 0.000000E+00 
                 0.000000E+00 
               
               
                 A18 
                 0.000000E+00 
                 0.000000E+00 
                 0.000000E+00 
                 0.000000E+00 
               
               
                   
               
            
           
           
               
               
            
               
                   
                 Surface No. 
               
            
           
           
               
               
               
               
               
            
               
                   
                 6 
                 7 
                 8 
                 9 
               
               
                   
               
               
                 k 
                 −8.992203E+01 
                 4.540475E+01 
                 4.927686E+01 
                 2.153130E+01 
               
               
                 A4 
                 −5.189507E−01 
                 −2.761175E+00 
                 −3.638066E+00 
                 −1.302246E+00 
               
               
                 A6 
                 −9.354087E+00 
                 3.664304E+01 
                 4.192016E+01 
                 8.346437E−01 
               
               
                 A8 
                 2.638863E+01 
                 −4.873162E+02 
                 −5.269614E+02 
                 3.746631E+01 
               
               
                 A10 
                 0.000000E+00 
                 3.415468E+03 
                 3.853466E+03 
                 1.599286E+02 
               
               
                 A12 
                 0.000000E+00 
                 −8.324341E+03 
                 −1.068333E+04 
                 −2.771492E+03 
               
               
                 A14 
                 0.000000E+00 
                 0.000000E+00 
                 5.968039E+03 
                 7.339780E+03 
               
               
                 A16 
                 0.000000E+00 
                 0.000000E+00 
                 0.000000E+00 
                 0.000000E+00 
               
               
                 A18 
                 0.000000E+00 
                 0.000000E+00 
                 0.000000E+00 
                 0.000000E+00 
               
               
                   
               
            
           
           
               
               
            
               
                   
                 Surface No. 
               
            
           
           
               
               
               
               
               
            
               
                   
                 10 
                 11 
                 12 
                 13 
               
               
                   
               
               
                 k 
                 −1.710630E+01 
                 −4.065411E+00 
                 −1.222839E+01 
                 −5.528939E+00 
               
               
                 A4 
                 −1.506772E+00 
                 −1.974008E+00 
                 1.340310E+00 
                 −2.062785E+00 
               
               
                 A6 
                 5.084961E+00 
                 1.022419E+01 
                 −4.089058E+01 
                 1.055378E+01 
               
               
                 A8 
                 7.788008E+01 
                 −2.236604E+01 
                 4.398729E+02 
                 −4.980789E+01 
               
               
                 A10 
                 −2.374820E+02 
                 1.487360E+02 
                 −2.814976E+03 
                 1.319004E+02 
               
               
                 A12 
                 −1.244603E+03 
                 −5.511090E+02 
                 1.045372E+04 
                 −1.954825E+02 
               
               
                 A14 
                 4.332921E+03 
                 8.007279E+02 
                 −2.142963E+04 
                 1.405996E+02 
               
               
                 A16 
                 0.000000E+00 
                 0.000000E+00 
                 2.058896E+04 
                 −4.791298E+01 
               
               
                 A18 
                 0.000000E+00 
                 0.000000E+00 
                 −5.516082E+03 
                 0.000000E+00 
               
               
                   
               
            
           
         
       
     
     The second embodiment, the presentation of the aspheric surface formula is similar to that in the first embodiment. Furthermore, the definitions of parameters in following tables are equal to those in the first embodiment, so the repetitious details will not be given here. 
     The following contents may be deduced from Table 3 and Table 4. 
     
       
         
           
               
             
               
                   
               
               
                 The second embodiment (Primary reference wavelength: 555 nm) 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 |f/f1| 
                 |f/f2| 
                 |f/f3| 
                 |f/f4| 
                 |f/f5| 
                 |f/f6| 
               
               
                 0.78083 
                 0.49372 
                 0.22349 
                 0.07958 
                 0.82446 
                 0.31164 
               
            
           
           
               
               
               
               
               
               
            
               
                   
                   
                 ΣPPR/ 
                   
                   
                 TP4/ 
               
               
                 ΣPPR 
                 ΣNPR 
                 |ΣNPR| 
                 IN12/f 
                 IN56/f 
                 (IN34 + TP4 + IN45) 
               
               
                 1.90837 
                 0.80536 
                 2.36958 
                 0.01721 
                 0.01721 
                 0.61233 
               
            
           
           
               
               
               
               
            
               
                 |f1/f2| 
                 |f2/f3| 
                 (TP1 + IN12)/TP2 
                 (TP6 + IN56)/TP5 
               
               
                 0.63230 
                 0.45267 
                 1.50157 
                 0.67927 
               
            
           
           
               
               
               
               
               
               
            
               
                 HOS 
                 InTL 
                 HOS/HOI 
                 InS/HOS 
                 ODT % 
                 TDT % 
               
               
                 1.99999 
                 1.29814 
                 1.99999 
                 0.78343 
                 2.05963 
                 2.20228 
               
            
           
           
               
               
               
               
               
               
            
               
                   
                   
                   
                   
                 HVT62/ 
                 HVT62/ 
               
               
                 HVT51 
                 HVT52 
                 HVT61 
                 HVT62 
                 HOI 
                 HOS 
               
               
                 0 
                 0.49337 
                 0.42921 
                 0.46776 
                 0.46776 
                 0.23388 
               
               
                 HVT21 
                 HVT22 
                 HVT31 
                 HVT32 
                 HVT41 
                 HVT42 
               
               
                 0.000 
                 0.328 
                 0.255 
                 0.129 
                 0.083 
                 0.447 
               
            
           
           
               
               
               
               
               
               
            
               
                   
                   
                   
                   
                 |InRS61|/ 
                 |InRS62|/ 
               
               
                 TP2/TP3 
                 TP3/TP4 
                 InRS61 
                 InRS62 
                 TP6 
                 TP6 
               
               
                 0.94233 
                 1.02790 
                 −0.03458 
                 −0.07591 
                 0.23051 
                 0.50604 
               
            
           
           
               
               
               
               
               
               
            
               
                 PLTA 
                 PSTA 
                 NLTA 
                 NSTA 
                 SLTA 
                 SSTA 
               
               
                 −0.008 
                 0.006 
                 −0.001 mm 
                 −0.014 mm 
                 −0.002 mm 
                 0.004 mm 
               
               
                 mm 
                 mm 
               
            
           
           
               
               
               
               
               
               
            
               
                 IN12 + IN23 
                 IN34 + IN45 
                 IN12 
                 IN23 
                 IN34 
                 IN45 
               
               
                 0.111 
                 0.098 
                 0.020 
                 0.091 
                 0.029 
                 0.069 
               
            
           
           
               
               
               
               
               
               
            
               
                 PhiA11 
                 PhiA12 
                 PhiA6 
                 PhiB 
                 PhiC 
                 PhiD 
               
               
                 1.182 mm 
                 0.95 mm 
                 1.50 mm 
                 1.515 mm 
                 1.715 mm 
                 1.915 mm 
               
            
           
           
               
               
               
               
               
            
               
                   
                   
                   
                   
                 SFR 
               
               
                   
                 PhiA6/ 
                 PhiA6/ 
                 PhiA11/ 
                 (PhiA11/ 
               
               
                   
                 InTL 
                 2HOI 
                 2HOI 
                 PhiA6) 
               
               
                   
                 1.1628 
                 0.75 
                 0.591 
                 0.788 
               
               
                   
                   
               
            
           
         
       
     
     The value associated with the outline curve length may be deduced from Table 3 and Table 4. 
     
       
         
           
               
             
               
                   
               
               
                 The second embodiment (Primary reference wavelength: 555 nm) 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
               
            
               
                   
                   
                 ARE 
                 ARE − 
                 2 (ARE/ 
                   
                 ARE/TP 
               
               
                 ARE 
                 ½(HEP) 
                 value 
                 ½(HEP) 
                 HEP) % 
                 TP 
                 (%) 
               
               
                   
               
               
                 11 
                 0.382 
                 0.382 
                 −0.00001 
                 100.00% 
                 0.205 
                 186.25% 
               
               
                 12 
                 0.382 
                 0.383 
                 0.00111 
                 100.29% 
                 0.205 
                 186.80% 
               
               
                 21 
                 0.382 
                 0.394 
                 0.01127 
                 102.95% 
                 0.150 
                 262.36% 
               
               
                 22 
                 0.382 
                 0.385 
                 0.00279 
                 100.73% 
                 0.150 
                 256.70% 
               
               
                 31 
                 0.374 
                 0.375 
                 0.00057 
                 100.15% 
                 0.159 
                 235.52% 
               
               
                 32 
                 0.382 
                 0.382 
                 0.00004 
                 100.01% 
                 0.159 
                 240.17% 
               
               
                 41 
                 0.382 
                 0.383 
                 0.00067 
                 100.17% 
                 0.155 
                 247.28% 
               
               
                 42 
                 0.382 
                 0.383 
                 0.00036 
                 100.09% 
                 0.155 
                 247.08% 
               
               
                 51 
                 0.382 
                 0.388 
                 0.00533 
                 101.39% 
                 0.250 
                 154.87% 
               
               
                 52 
                 0.382 
                 0.409 
                 0.02684 
                 107.02% 
                 0.250 
                 163.47% 
               
               
                 61 
                 0.382 
                 0.387 
                 0.00477 
                 101.25% 
                 0.150 
                 258.02% 
               
               
                 62 
                 0.382 
                 0.390 
                 0.00799 
                 102.09% 
                 0.150 
                 260.17% 
               
               
                   
               
            
           
           
               
               
               
               
               
               
               
            
               
                   
                   
                 ARS 
                   
                   
                   
                   
               
               
                 ARS 
                 EHD 
                 value 
                 ARS − EHD 
                 (ARS/EHD) % 
                 TP 
                 ARS/TP (%) 
               
               
                   
               
               
                 11 
                 0.591 
                 0.606 
                 0.01463 
                 102.47% 
                 0.205 
                 295.21% 
               
               
                 12 
                 0.475 
                 0.481 
                 0.00586 
                 101.23% 
                 0.205 
                 234.30% 
               
               
                 21 
                 0.419 
                 0.430 
                 0.01170 
                 102.79% 
                 0.150 
                 286.92% 
               
               
                 22 
                 0.387 
                 0.390 
                 0.00278 
                 100.72% 
                 0.150 
                 260.15% 
               
               
                 31 
                 0.374 
                 0.375 
                 0.00057 
                 100.15% 
                 0.159 
                 235.52% 
               
               
                 32 
                 0.416 
                 0.416 
                 0.00000 
                 100.00% 
                 0.159 
                 261.55% 
               
               
                 41 
                 0.425 
                 0.426 
                 0.00082 
                 100.19% 
                 0.155 
                 275.09% 
               
               
                 42 
                 0.459 
                 0.459 
                 −0.00002 
                 100.00% 
                 0.155 
                 296.29% 
               
               
                 51 
                 0.468 
                 0.473 
                 0.00541 
                 101.16% 
                 0.250 
                 189.02% 
               
               
                 52 
                 0.510 
                 0.543 
                 0.03292 
                 106.46% 
                 0.250 
                 216.84% 
               
               
                 61 
                 0.604 
                 0.644 
                 0.04000 
                 106.62% 
                 0.150 
                 429.39% 
               
               
                 62 
                 0.750 
                 0.950 
                 0.20032 
                 126.71% 
                 0.150 
                 633.55% 
               
               
                   
               
            
           
         
       
     
     The following contents may be deduced from Table 3 and Table 4. 
     
       
         
           
               
             
               
                   
               
               
                 Values associated with inflection point of the second embodiment 
               
               
                 (Primary reference wavelength: 555 nm) 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                 HIF111 
                 0.1685 
                 HIF111/HOI 
                 0.1685 
                 SGI111 
                 −0.0042 
                 | SGI111 |/ 
                 0.0202 
               
               
                   
                   
                   
                   
                   
                   
                 (| SGI111 | + TP1) 
               
               
                 HIF121 
                 0.1491 
                 HIF121/HOI 
                 0.1491 
                 SGI121 
                 −0.0109 
                 | SGI121 |/ 
                 0.0505 
               
               
                   
                   
                   
                   
                   
                   
                 (| SGI121 | + TP1) 
               
               
                 HIF211 
                 0.3384 
                 HIF211/HOI 
                 0.3384 
                 SGI211 
                 0.0650 
                 | SGI211 |/ 
                 0.3022 
               
               
                   
                   
                   
                   
                   
                   
                 (| SGI211 | + TP2) 
               
               
                 HIF221 
                 0.1831 
                 HIF221/HOI 
                 0.1831 
                 SGI221 
                 0.0205 
                 | SGI221 |/ 
                 0.1201 
               
               
                   
                   
                   
                   
                   
                   
                 (| SGI221 | + TP2) 
               
               
                 HIF311 
                 0.1510 
                 HIF311/HOI 
                 0.1510 
                 SGI311 
                 0.0046 
                 | SGI311 |/ 
                 0.0282 
               
               
                   
                   
                   
                   
                   
                   
                 (| SGI311 | + TP3) 
               
               
                 HIF321 
                 0.0696 
                 HIF321/HOI 
                 0.0696 
                 SGI321 
                 0.0003 
                 | SGI321 |/ 
                 0.0017 
               
               
                   
                   
                   
                   
                   
                   
                 (| SGI321 | + TP3) 
               
               
                 HIF322 
                 0.3057 
                 HIF322/HOI 
                 0.3057 
                 SGI322 
                 −0.0060 
                 | SGI322 |/ 
                 0.0366 
               
               
                   
                   
                   
                   
                   
                   
                 (| SGI322 | + TP3) 
               
               
                 HIF323 
                 0.3873 
                 HIF323/HOI 
                 0.3873 
                 SGI323 
                 −0.0100 
                 | SGI323 |/ 
                 0.0590 
               
               
                   
                   
                   
                   
                   
                   
                 (| SGI323 | + TP3) 
               
               
                 HIF411 
                 0.0467 
                 HIF411/HOI 
                 0.0467 
                 SGI411 
                 0.0001 
                 | SGI411 |/ 
                 0.0005 
               
               
                   
                   
                   
                   
                   
                   
                 (| SGI411 | + TP4) 
               
               
                 HIF412 
                 0.3047 
                 HIF412/HOI 
                 0.3047 
                 SGI412 
                 −0.0127 
                 | SGI412 |/ 
                 0.0757 
               
               
                   
                   
                   
                   
                   
                   
                 (| SGI412 | + TP4) 
               
               
                 HIF413 
                 0.4111 
                 HIF413/HOI 
                 0.4111 
                 SGI413 
                 −0.0179 
                 | SGI413 |/ 
                 0.1037 
               
               
                   
                   
                   
                   
                   
                   
                 (| SGI413 | + TP4) 
               
               
                 HIF421 
                 0.3896 
                 HIF421/HOI 
                 0.3896 
                 SGI421 
                 −0.0179 
                 | SGI421 |/ 
                 0.1036 
               
               
                   
                   
                   
                   
                   
                   
                 (| SGI421 | + TP4) 
               
               
                 HIF511 
                 0.2639 
                 HIF511/HOI 
                 0.2639 
                 SGI511 
                 −0.0371 
                 | SGI511 |/ 
                 0.1291 
               
               
                   
                   
                   
                   
                   
                   
                 (| SGI511 | + TP5) 
               
               
                 HIF521 
                 0.3321 
                 HIF521/HOI 
                 0.3321 
                 SGI521 
                 −0.1070 
                 | SGI521 |/ 
                 0.2996 
               
               
                   
                   
                   
                   
                   
                   
                 (| SGI521 | + TP5) 
               
               
                 HIF611 
                 0.2295 
                 HIF611/HOI 
                 0.2295 
                 SGI611 
                 0.0312 
                 | SGI611 |/ 
                 0.1722 
               
               
                   
                   
                   
                   
                   
                   
                 (| SGI611 | + TP6) 
               
               
                 HIF621 
                 0.2260 
                 HIF621/HOI 
                 0.2260 
                 SGI621 
                 0.0395 
                 | SGI621 |/ 
                 0.2085 
               
               
                   
                   
                   
                   
                   
                   
                 (| SGI621 | + TP6) 
               
               
                   
               
            
           
         
       
     
     The Third Embodiment 
     Please refer to  FIGS. 3A, 3B and 3C .  FIG. 3A  is a schematic view of an optical image capturing system of a third embodiment of the present invention.  FIG. 3B  shows curve diagrams of longitudinal spherical aberration, astigmatic field, and optical distortion of the optical image capturing system in the order from left to right of the third embodiment of the present invention.  FIG. 3C  is a transverse aberration diagram of the longest operation wavelength and the shortest operation wavelength for tangential fan and sagittal fan, in which the longest operation wavelength and the shortest operation wavelength pass through an edge of the entrance pupil and strike at the position of 0.7 field of view on the image plane, according to the third embodiment of the present invention. As shown in  FIG. 3A , in order along an optical axis from an object side to an image side, the optical image capturing system comprises a first lens element  310 , a second lens element  320 , an aperture stop  300 , a third lens element  330 , a fourth lens element  340 , a fifth lens element  350 , a sixth lens element  360 , an IR-bandstop Filter  380 , an image plane  390  and an image-sensing device  392 . 
     The first lens element  310  has positive refractive power and is made of a plastic material, and has a concave object-side surface  312  and a convex image-side surface  314 , and both of the object-side surface  312  and the image-side surface  314  are aspheric. Each of the object-side surface  312  and the image-side surface  314  has three inflection points. 
     The second lens element  320  has negative refractive power and is made of a plastic material, and has a convex object-side surface  322  and a concave image-side surface  324 . Both of the object-side surface  322  and the image-side surface  324  are aspheric. 
     The third lens element  330  has positive refractive power and is made of a plastic material, and has a convex object-side surface  332  and a convex image-side surface  334 , and both of the object-side surface  332  and the image-side surface  334  are aspheric. The object-side surface  332  has an inflection point. 
     The fourth lens element  340  has negative refractive power and is made of a plastic material, and has a concave object-side surface  342  and a concave image-side surface  344 , and both of the object-side surface  342  and the image-side surface  344  are aspheric. Each of the object-side surface  342  and the image-side surface  344  has an inflection point. 
     The fifth lens element  350  has positive refractive power and is made of a plastic material, and has a concave object-side surface  352  and a convex image-side surface  354 , and both of the object-side surface  352  and the image-side surface  354  are aspheric. The object-side surface  352  has two inflection points and the image-side surface  354  has an inflection point. 
     The sixth lens element  360  has positive refractive power and is made of a plastic material, and has a convex object-side surface  362  and a concave image-side surface  364 , and both of the object-side surface  362  and the image-side surface  364  are aspheric. Each of the object-side surface  362  and the image-side surface  364  has an inflection point. With this configuration, the back focal length can be shortened to keep small in size. Furthermore, the angle of incident with incoming light from an off-axis view field can be suppressed effectively and the aberration in the off-axis view field can be corrected. 
     The IR-bandstop Filter  380  is made of glass and disposed between the sixth lens element  360  and the image plane  390 , and it does not affect the focal length of the optical image capturing system. 
     The parameters of the lens elements of the third embodiment are listed in Table 5 and Table 6. 
     
       
         
           
               
             
               
                 TABLE 5 
               
               
                   
               
               
                 Lens Parameters for the Third Embodiment 
               
               
                 f(focus length) = 1.017 mm; 
               
               
                 f/HEP = 1.4; HAF(half angle of view) = 45.009 deg 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
            
               
                 Surface 
                   
                   
                   
               
               
                 No. 
                 Curvature Radius 
                 Thickness (mm) 
                 Material 
               
               
                   
               
            
           
           
               
               
               
               
               
            
               
                 0 
                 Object 
                 1E+18 
                 1E+18 
                   
               
               
                 1 
                 First lens 
                 −3.476100696 
                 0.241 
                 Plastic 
               
               
                 2 
                   
                 −0.863395996 
                 0.055 
               
               
                 3 
                 Second lens 
                 257.384575 
                 0.186 
                 Plastic 
               
               
                 4 
                   
                 0.592222378 
                 0.202 
               
               
                 5 
                 Aperture stop 
                 1E+18 
                 0.020 
               
               
                 6 
                 Third lens 
                 1.297948912 
                 0.407 
                 Plastic 
               
               
                 7 
                   
                 −1.226825853 
                 0.022 
               
               
                 8 
                 Fourth lens 
                 −3.075467447 
                 0.185 
                 Plastic 
               
               
                 9 
                   
                 47.60909736 
                 0.037 
               
               
                 10 
                 Fifth lens 
                 −1.341198755 
                 0.350 
                 Plastic 
               
               
                 11 
                   
                 −0.56921777 
                 0.020 
               
               
                 12 
                 Sixth lens 
                 0.485206815 
                 0.185 
                 Plastic 
               
               
                 13 
                   
                 0.414073501 
                 0.190 
               
               
                 14 
                 IR-bandstop 
                 1E+18 
                 0.150 
                 BK_7 
               
               
                   
                 Filter 
               
               
                 15 
                   
                 1E+18 
                 0.395 
               
               
                 16 
                 Image plate 
                 1E+18 
                 0.005 
               
               
                   
               
            
           
           
               
               
               
               
            
               
                 Surface No. 
                 Refractive Index 
                 Coefficient of Dispersion 
                 Focus length 
               
               
                   
               
               
                 0 
               
               
                 1 
                 1.661 
                 20.381 
                 1.661 
               
               
                 2 
               
               
                 3 
                 1.584 
                 29.878 
                 −1.011 
               
               
                 4 
               
               
                 5 
               
               
                 6 
                 1.544 
                 55.938 
                 1.225 
               
               
                 7 
               
               
                 8 
                 1.661 
                 20.381 
                 −4.326 
               
               
                 9 
               
               
                 10 
                 1.544 
                 55.938 
                 1.562 
               
               
                 11 
               
               
                 12 
                 1.661 
                 20.381 
                 104.773 
               
               
                 13 
               
               
                 14 
               
               
                 15 
               
               
                 16 
               
               
                   
               
               
                 Reference wavelength = 555 nm; shield position: the clear aperture of the second surface is 0.850 mm; the clear aperture of the ninth surface is 0.515 mm 
               
            
           
         
       
     
                     TABLE 6               Aspheric Coefficients of the third embodiment       Table 6: Aspheric Coefficients of the third embodiment                                            Surface No.                                     1   2   3   4               k   −4.977113E+01   −6.567919E+00   −8.999999E+01   −2.861315E+01       A4   −1.678318E−01   1.036535E+00   1.360925E+00   1.245348E+01       A6   2.417070E+00   −2.106796E+00   5.693199E+00   −3.040975E+02       A8   −7.646294E+00   2.511739E+00   −7.236362E+01   6.341631E+03       A10   1.150067E+01   −3.937516E+00   3.528179E+02   −8.526836E+04       A12   −9.419136E+00   6.785445E+00   −6.666468E+02   7.027732E+05       A14   4.110164E+00   −6.359719E+00   1.177212E+01   −3.182538E+06       A16   −7.478021E−01   2.319654E+00   1.223794E+03   6.138992E+06       A18   0.000000E+00   0.000000E+00   0.000000E+00   0.000000E+00                                 Surface No.                                     6   7   8   9               k   −8.152817E+01   −1.816395E+01   −4.467561E+00   −3.994209E−03       A4   1.198155E+00   −1.252057E+01   −1.191745E+01   −4.837410E+00       A6   1.977210E+01   2.277544E+02   2.130459E+02   3.296242E+01       A8   −1.179030E+03   −2.576487E+03   −2.121596E+03   −1.300114E+02       A10   2.024273E+04   1.661361E+04   1.148748E+04   3.093259E+02       A12   −1.781960E+05   −6.139831E+04   −3.489714E+04   −6.869086E+02       A14   7.913767E+05   1.181457E+05   5.944278E+04   1.739283E+03       A16   −1.391543E+06   −8.468796E+04   −4.708726E+04   −2.207115E+03       A18   0.000000E+00   0.000000E+00   0.000000E+00   0.000000E+00                                 Surface No.                                     10   11   12   13               k   −7.657432E+01   −2.525005E+00   −7.925748E+00   −1.070967E+00       A4   −2.077259E+00   −2.061383E+00   2.007289E+00   6.011291E−02       A6   −1.509801E+01   2.096091E+01   −3.127256E+01   6.000253E−03       A8   3.364584E+02   −1.525468E+02   2.327985E+02   4.094310E−04       A10   −1.814220E+03   7.388767E+02   −1.145201E+03   0.000000E+00       A12   4.513449E+03   −1.778585E+03   3.612383E+03   0.000000E+00       A14   −5.124662E+03   1.900441E+03   −6.953666E+03   0.000000E+00       A16   1.777545E+03   −6.730478E+02   7.193443E+03   0.000000E+00       A18   0.000000E+00   0.000000E+00   −2.944863E+03   0.000000E+00                    
In the third embodiment, the presentation of the aspheric surface formula is similar to that in the first embodiment. Furthermore, the definitions of parameters in following tables are equal to those in the first embodiment, so the repetitious details will not be given here.
 
     The following content may be deduced from Table 5 and Table 6. 
     
       
         
           
               
             
               
                   
               
               
                 The third embodiment (Primary reference wavelength: 555 nm) 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 |f/f1| 
                 |f/f2| 
                 |f/f3| 
                 |f/f4| 
                 |f/f5| 
                 |f/f6| 
               
               
                 0.61226 
                 1.00638 
                 0.83012 
                 0.23513 
                 0.65119 
                 0.00971 
               
            
           
           
               
               
               
               
               
               
            
               
                   
                   
                 ΣPPR/ 
                   
                   
                 TP4/ 
               
               
                 ΣPPR 
                 ΣNPR 
                 |ΣNPR| 
                 IN12/f 
                 IN56/f 
                 (IN34 + TP4 + IN45) 
               
               
                 2.32871 
                 1.01609 
                 2.29183 
                 0.05407 
                 0.01966 
                 0.75892 
               
            
           
           
               
               
               
               
            
               
                 |f1/f2| 
                 |f2/f3| 
                 (TP1 + IN12)/TP2 
                 (TP6 + IN56)/TP5 
               
               
                 1.64372 
                 0.82486 
                 1.59038 
                 0.58608 
               
            
           
           
               
               
               
               
               
               
            
               
                 HOS 
                 InTL 
                 HOS/HOI 
                 InS/HOS 
                 ODT % 
                 TDT % 
               
               
                 2.65000 
                 1.91026 
                 2.65000 
                 0.74169 
                 2.03494 
                 4.03482 
               
            
           
           
               
               
               
               
               
               
            
               
                 HVT51 
                 HVT52 
                 HVT61 
                 HVT62 
                 HVT62/HOI 
                 HVT62/HOS 
               
               
                 0.434142 
                 0 
                 0.51989 
                 0.61229 
                 0.61229 
                 0.23105 
               
            
           
           
               
               
               
               
               
               
            
               
                 HVT21 
                 HVT22 
                 HVT31 
                 HVT32 
                 HVT41 
                 HVT42 
               
               
                 0.000 
                 0.000 
                 0.000 
                 0.000 
                 0.000 
                 0.033 
               
            
           
           
               
               
               
               
               
               
            
               
                   
                   
                   
                   
                 |InRS61|/ 
                 |InRS62|/ 
               
               
                 TP2/TP3 
                 TP3/TP4 
                 InRS61 
                 InRS62 
                 TP6 
                 TP6 
               
               
                 0.45707 
                 2.20107 
                 0.07165 
                 0.13796 
                 0.38731 
                 0.74571 
               
            
           
           
               
               
               
               
               
               
            
               
                 PLTA 
                 PSTA 
                 NLTA 
                 NSTA 
                 SLTA 
                 SSTA 
               
               
                 −0.013 
                 0.001 mm 
                 0.005 mm 
                 0.002 mm 
                 −0.001 mm 
                 0.006 mm 
               
               
                 mm 
               
            
           
           
               
               
               
               
               
               
            
               
                 IN12 + IN23 
                 IN34 + IN45 
                 IN12 
                 IN23 
                 IN34 
                 IN45 
               
               
                 0.277 
                 0.059 
                 0.055 
                 0.222 
                 0.022 
                 0.037 
               
            
           
           
               
               
               
               
               
               
            
               
                 PhiA11 
                 PhiA12 
                 PhiA6 
                 PhiB 
                 PhiC 
                 PhiD 
               
               
                 1.868 mm 
                 1.7 mm 
                 1.5 mm 
                 1.515 mm 
                 1.715 mm 
                 1.915 mm 
               
            
           
           
               
               
               
               
            
               
                 PhiA6/InTL 
                 PhiA6/2HOI 
                 PhiA11/2HOI 
                 SFR (PhiA11/PhiA6) 
               
               
                 0.7852 
                 0.750 
                 0.934 
                 1.2453 
               
               
                   
               
            
           
         
       
     
     The values associated with outline curve length may be deduced from Table 5 and Table 6. 
     
       
         
           
               
             
               
                   
               
               
                 The third embodiment (Primary reference wavelength: 555 nm) 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
               
            
               
                   
                   
                 ARE 
                 ARE − 
                 2(ARE/ 
                   
                 ARE/ 
               
               
                 ARE 
                 1/2(HEP) 
                 value 
                 1/2(HEP) 
                 HEP)% 
                 TP 
                 TP(%) 
               
               
                   
               
               
                 11 
                 0.357 
                 0.356 
                 −0.00048 
                 99.86% 
                 0.241 
                 147.90% 
               
               
                 12 
                 0.357 
                 0.360 
                 0.00290 
                 100.81% 
                 0.241 
                 149.30% 
               
               
                 21 
                 0.357 
                 0.358 
                 0.00085 
                 100.24% 
                 0.186 
                 192.23% 
               
               
                 22 
                 0.357 
                 0.389 
                 0.03189 
                 108.93% 
                 0.186 
                 208.90% 
               
               
                 31 
                 0.357 
                 0.357 
                 0.00042 
                 100.12% 
                 0.407 
                 87.76% 
               
               
                 32 
                 0.357 
                 0.375 
                 0.01800 
                 105.04% 
                 0.407 
                 92.07% 
               
               
                 41 
                 0.357 
                 0.365 
                 0.00844 
                 102.37% 
                 0.185 
                 197.49% 
               
               
                 42 
                 0.357 
                 0.359 
                 0.00215 
                 100.60% 
                 0.185 
                 194.09% 
               
               
                 51 
                 0.357 
                 0.360 
                 0.00321 
                 100.90% 
                 0.350 
                 102.96% 
               
               
                 52 
                 0.357 
                 0.377 
                 0.02042 
                 105.72% 
                 0.350 
                 107.88% 
               
               
                 61 
                 0.357 
                 0.368 
                 0.01078 
                 103.02% 
                 0.185 
                 198.76% 
               
               
                 62 
                 0.357 
                 0.395 
                 0.03849 
                 110.78% 
                 0.185 
                 213.73% 
               
               
                   
               
               
                   
                   
                 ARS 
                 ARS − 
                 (ARS/ 
                   
                 ARS/ 
               
               
                 ARS 
                 EHD 
                 value 
                 EHD 
                 EHD)% 
                 TP 
                 TP(%) 
               
               
                   
               
               
                 11 
                 0.934 
                 0.934 
                 0.00058 
                 100.06% 
                 0.241 
                 387.62% 
               
               
                 12 
                 0.850 
                 0.855 
                 0.00547 
                 100.64% 
                 0.241 
                 354.96% 
               
               
                 21 
                 0.570 
                 0.634 
                 0.06331 
                 111.10% 
                 0.186 
                 340.40% 
               
               
                 22 
                 0.379 
                 0.430 
                 0.05153 
                 113.61% 
                 0.186 
                 231.14% 
               
               
                 31 
                 0.378 
                 0.379 
                 0.00130 
                 100.34% 
                 0.407 
                 93.16% 
               
               
                 32 
                 0.453 
                 0.503 
                 0.05000 
                 111.05% 
                 0.407 
                 123.45% 
               
               
                 41 
                 0.463 
                 0.486 
                 0.02320 
                 105.01% 
                 0.185 
                 262.97% 
               
               
                 42 
                 0.515 
                 0.528 
                 0.01342 
                 102.61% 
                 0.185 
                 285.63% 
               
               
                 51 
                 0.551 
                 0.557 
                 0.00608 
                 101.10% 
                 0.350 
                 159.26% 
               
               
                 52 
                 0.581 
                 0.620 
                 0.03910 
                 106.73% 
                 0.350 
                 177.38% 
               
               
                 61 
                 0.641 
                 0.666 
                 0.02559 
                 103.99% 
                 0.185 
                 360.24% 
               
               
                 62 
                 0.750 
                 1.044 
                 0.29390 
                 139.16% 
                 0.185 
                 564.50% 
               
               
                   
               
            
           
         
       
     
     The following content may be deduced from Table 5 and Table 6. 
     
       
         
           
               
             
               
                   
               
               
                 Value associated with inflection point of the third embodiment 
               
               
                 (Primary reference wavelength: 555 nm) 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                 HIF111 
                 0.3105 
                 HIF111/HOI 
                 0.3105 
                 SGI111 
                 −0.0127 
                 | SGI111 |/ 
                 0.0500 
               
               
                   
                   
                   
                   
                   
                   
                 (| SGI111 | + TP1) 
               
               
                 HIF112 
                 0.5928 
                 HIF112/HOI 
                 0.5928 
                 SGI112 
                 −0.0256 
                 | SGI112 |/ 
                 0.0959 
               
               
                   
                   
                   
                   
                   
                   
                 (| SGI112 | + TP1) 
               
               
                 HIF113 
                 0.8378 
                 HIF113/HOI 
                 0.8378 
                 SGI113 
                 −0.0371 
                 | SGI113 |/ 
                 0.1335 
               
               
                   
                   
                   
                   
                   
                   
                 (| SGI113 | + TP1) 
               
               
                 HIF121 
                 0.2673 
                 HIF121/HOI 
                 0.2673 
                 SGI121 
                 −0.0324 
                 | SGI121 |/ 
                 0.1185 
               
               
                   
                   
                   
                   
                   
                   
                 (| SGI121 | + TP1) 
               
               
                 HIF122 
                 0.6273 
                 HIF122/HOI 
                 0.6273 
                 SGI122 
                 −0.0803 
                 | SGI122 |/ 
                 0.2498 
               
               
                   
                   
                   
                   
                   
                   
                 (| SGI122 | + TP1) 
               
               
                 HIF123 
                 0.7100 
                 HIF123/HOI 
                 0.7100 
                 SGI123 
                 −0.0875 
                 | SGI123 |/ 
                 0.2663 
               
               
                   
                   
                   
                   
                   
                   
                 (| SGI123 | + TP1) 
               
               
                 HIF311 
                 0.2376 
                 HIF311/HOI 
                 0.2376 
                 SGI311 
                 0.0174 
                 | SGI311 |/ 
                 0.0410 
               
               
                   
                   
                   
                   
                   
                   
                 (| SGI311 | + TP3) 
               
               
                 HIF411 
                 0.4058 
                 HIF411/HOI 
                 0.4058 
                 SGI411 
                 −0.0934 
                 | SGI411 |/ 
                 0.3355 
               
               
                   
                   
                   
                   
                   
                   
                 (| SGI411 | + TP4) 
               
               
                 HIF421 
                 0.0191 
                 HIF421/HOI 
                 0.0191 
                 SGI421 
                 0.0000 
                 | SGI421 |/ 
                 0.0000 
               
               
                   
                   
                   
                   
                   
                   
                 (| SGI421 | + TP4) 
               
               
                 HIF511 
                 0.2966 
                 HIF511/HOI 
                 0.2966 
                 SGI511 
                 −0.0346 
                 | SGI511 |/ 
                 0.0900 
               
               
                   
                   
                   
                   
                   
                   
                 (| SGI511 | + TP5) 
               
               
                 HIF512 
                 0.5400 
                 HIF512/HOI 
                 0.5400 
                 SGI512 
                 −0.0411 
                 | SGI512 |/ 
                 0.1052 
               
               
                   
                   
                   
                   
                   
                   
                 (| SGI512 | + TP5) 
               
               
                 HIF521 
                 0.3760 
                 HIF521/HOI 
                 0.3760 
                 SGI521 
                 −0.1218 
                 | SGI521 |/ 
                 0.2582 
               
               
                   
                   
                   
                   
                   
                   
                 (| SGI521 | + TP5) 
               
               
                 HIF611 
                 0.2802 
                 HIF611/HOI 
                 0.2802 
                 SGI611 
                 0.0608 
                 | SGI611 |/ 
                 0.2473 
               
               
                   
                   
                   
                   
                   
                   
                 (| SGI611 | + TP6) 
               
               
                 HIF621 
                 0.3004 
                 HIF621/HOI 
                 0.3004 
                 SGI621 
                 0.0816 
                 | SGI621 |/ 
                 0.3062 
               
               
                   
                   
                   
                   
                   
                   
                 (| SGI621 | + TP6) 
               
               
                   
               
            
           
         
       
     
     The Fourth Embodiment 
     Please refer to  FIGS. 4A, 4B and 4C .  FIG. 4A  is a schematic view of an optical image capturing system of a fourth embodiment of the present invention.  FIG. 4B  shows curve diagrams of longitudinal spherical aberration, astigmatic field, and optical distortion of the optical image capturing system in the order from left to right of the fourth embodiment of the present invention.  FIG. 4C  is a transverse aberration diagram of the longest operation wavelength and the shortest operation wavelength for tangential fan and sagittal fan, in which the longest operation wavelength and the shortest operation wavelength pass through an edge of the entrance pupil and strike at the position of 0.7 field of view on the image plane, according to the fourth embodiment of the present invention. As shown in  FIG. 4A , in order along an optical axis from an object side to an image side, the optical image capturing system comprises a first lens element  410 , a second lens element  420 , an aperture stop  400 , a third lens element  430 , a fourth lens element  440 , a fifth lens element  450 , a sixth lens element  460 , an IR-bandstop Filter  480 , an image plane  490  and an image-sensing device  492 . 
     The first lens element  410  has positive refractive power and is made of a plastic material, and has a concave object-side surface  412  and a convex image-side surface  414 , and both of the object-side surface  412  and the image-side surface  414  are aspheric. The object-side surface  412  has two inflection points and the image-side surface  414  has an inflection point. 
     The second lens element  420  has negative refractive power and is made of a plastic material, has a convex object-side surface  422  and a concave image-side surface  424 , and both of the object-side surface  422  and the image-side surface  424  are aspheric. Each of the object-side surface  422  and the image-side surface  424  has an inflection point. 
     The third lens element  430  has positive refractive power and is made of a plastic material, and has convex object-side surface  432  and a convex image-side surface  434 , and both of the object-side surface  432  and the image-side surface  434  are aspheric. The object-side surface  432  has an inflection point. 
     The fourth lens element  440  has negative refractive power and is made of a plastic material, and has a concave object-side surface  442  and a concave image-side surface  444 , and both of the object-side surface  442  and the image-side surface  444  are aspheric. The object-side surface  442  has three inflection points and the image-side surface  414  has an inflection point. 
     The fifth lens element  450  has positive refractive power and is made of a plastic material, has a convex object-side surface  452  and a convex image-side surface  454 , and both of the object-side surface  452  and the image-side surface  454  are aspheric. The object-side surface  452  has two inflection points and the image-side surface  454  has an inflection point. 
     The sixth lens element  460  has negative refractive power and is made of a plastic material, has a convex object-side surface  462  and a concave image-side surface  464 , and both of the object-side surface  462  and the image-side surface  464  are aspheric. With this configuration, the back focal length can be shortened to maintain the characteristics of small size. Furthermore, each of the object-side surface  462  and the image-side surface  464  has an inflection point, so that the angle of incident with incoming light from an off-axis view field can be suppressed effectively and the aberration in the off-axis view field can be corrected. 
     The IR-bandstop Filter  480  is made of glass and disposed between the sixth lens element  460  and the image plane  490 , and it does not affect the focal length of the optical image capturing system. 
     The parameters of the lens elements of the fourth embodiment are listed in Table 7 and Table 8. 
     
       
         
           
               
             
               
                 TABLE 7 
               
               
                   
               
               
                 Lens Parameters for the Fourth Embodiment 
               
               
                 f(focus length) = 1.017 mm; f/HEP = 1.4; 
               
               
                 HAF(half angle of view) = 45.006 deg 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
            
               
                 Surface 
                   
                   
                   
               
               
                 No. 
                 Curvature Radius 
                 Thickness (mm) 
                 Material 
               
               
                   
               
            
           
           
               
               
               
               
               
            
               
                 0 
                 Object 
                 1E+18 
                 1E+18 
                   
               
               
                 1 
                 First lens 
                 −3.625044528 
                 0.362 
                 Plastic 
               
               
                 2 
                   
                 −2.718860066 
                 0.130 
               
               
                 3 
                 Second lens 
                 134.430314 
                 0.200 
                 Plastic 
               
               
                 4 
                   
                 2.351658337 
                 0.104 
               
               
                 5 
                 Aperture stop 
                 1E+18 
                 0.067 
               
               
                 6 
                 Third lens 
                 4.785114474 
                 0.345 
                 Plastic 
               
               
                 7 
                   
                 −0.966283592 
                 0.020 
               
               
                 8 
                 Fourth lens 
                 −1.907858536 
                 0.221 
                 Plastic 
               
               
                 9 
                   
                 2.98528572 
                 0.031 
               
               
                 10 
                 Fifth lens 
                 3.010323546 
                 0.350 
                 Plastic 
               
               
                 11 
                   
                 −0.605423735 
                 0.020 
               
               
                 12 
                 Sixth lens 
                 0.602377291 
                 0.200 
                 Plastic 
               
               
                 13 
                   
                 0.377208633 
                 0.170 
               
               
                 14 
                 IR-bandstop 
                 1E+18 
                 0.150 
                 BK_7 
               
               
                   
                 Filter 
               
               
                 15 
                   
                 1E+18 
                 0.395 
               
               
                 16 
                 Image plate 
                 1E+18 
                 0.005 
               
               
                   
               
            
           
           
               
               
               
               
            
               
                 Surface No. 
                 Refractive Index 
                 Coefficient of Dispersion 
                 Focus length 
               
               
                   
               
               
                 0 
               
               
                 1 
                 1.661 
                 20.381 
                 14.066 
               
               
                 2 
               
               
                 3 
                 1.515 
                 56.524 
                 −4.639 
               
               
                 4 
               
               
                 5 
               
               
                 6 
                 1.544 
                 55.938 
                 1.505 
               
               
                 7 
               
               
                 8 
                 1.515 
                 56.524 
                 −2.220 
               
               
                 9 
               
               
                 10 
                 1.544 
                 55.938 
                 0.956 
               
               
                 11 
               
               
                 12 
                 1.661 
                 20.381 
                 −2.348 
               
               
                 13 
               
               
                 14 
                 1.517 
                 64.13 
               
               
                 15 
               
               
                 16 
               
               
                   
               
               
                 Reference wavelength = 555 nm; shield position: the clear aperture of the ninth surface is 0.600 mm 
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 8 
               
               
                   
               
               
                 Aspheric Coefficients of the fourth embodiment 
               
               
                 Table 8: Aspheric Coefficients of the fourth embodiment 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
            
               
                   
                 Surface No. 
               
            
           
           
               
               
               
               
               
            
               
                   
                 1 
                 2 
                 3 
                 4 
               
               
                   
               
               
                 k 
                 −8.995291E+01 
                 −3.526302E+01 
                 −8.996924E+01 
                 −2.770009E+01 
               
               
                 A4 
                 8.197867E−01 
                 2.568078E+00 
                 2.410564E+00 
                 3.912478E−01 
               
               
                 A6 
                 −1.320924E+00 
                 −7.816481E+00 
                 −1.851310E+01 
                 −1.113121E+01 
               
               
                 A8 
                 3.468328E+00 
                 4.237641E+01 
                 1.063917E+02 
                 5.000711E+01 
               
               
                 A10 
                 −7.219342E+00 
                 −1.557546E+02 
                 −4.531759E+02 
                 −1.712927E+01 
               
               
                 A12 
                 9.188553E+00 
                 4.638692E+02 
                 1.316128E+03 
                 −5.671244E+02 
               
               
                 A14 
                 −4.788620E+00 
                 −1.171796E+03 
                 −1.607631E+03 
                 1.178987E+03 
               
               
                 A16 
                 0.000000E+00 
                 2.301784E+03 
                 0.000000E+00 
                 0.000000E+00 
               
               
                 A18 
                 0.000000E+00 
                 0.000000E+00 
                 0.000000E+00 
                 0.000000E+00 
               
               
                   
               
            
           
           
               
               
            
               
                   
                 Surface No. 
               
            
           
           
               
               
               
               
               
            
               
                   
                 6 
                 7 
                 8 
                 9 
               
               
                   
               
               
                 k 
                 −8.992203E+01 
                 −1.922929E+01 
                 5.150714E+00 
                 −7.983493E+01 
               
               
                 A4 
                 −1.167987E+00 
                 6.157493E−01 
                 4.170307E+00 
                 −5.684710E−01 
               
               
                 A6 
                 −6.150285E+00 
                 −4.017951E+01 
                 −5.964905E+01 
                 −2.079934E+01 
               
               
                 A8 
                 −1.430469E+01 
                 2.632315E+02 
                 3.922115E+02 
                 1.064761E+02 
               
               
                 A10 
                 0.000000E+00 
                 −7.816862E+02 
                 −1.278602E+03 
                 −2.068066E+02 
               
               
                 A12 
                 0.000000E+00 
                 9.131473E+02 
                 2.048323E+03 
                 1.069396E+02 
               
               
                 A14 
                 0.000000E+00 
                 0.000000E+00 
                 −1.285256E+03 
                 6.796981E+01 
               
               
                 A16 
                 0.000000E+00 
                 0.000000E+00 
                 0.000000E+00 
                 0.000000E+00 
               
               
                 A18 
                 0.000000E+00 
                 0.000000E+00 
                 0.000000E+00 
                 0.000000E+00 
               
               
                   
               
            
           
           
               
               
            
               
                   
                 Surface No. 
               
            
           
           
               
               
               
               
               
            
               
                   
                 10 
                 11 
                 12 
                 13 
               
               
                   
               
               
                 k 
                 9.951116E+00 
                 −3.302455E+00 
                 −7.212155E+00 
                 −1.741467E+00 
               
               
                 A4 
                 6.309831E−01 
                 2.505403E−01 
                 8.224832E−01 
                 −3.791986E+00 
               
               
                 A6 
                 −2.668438E+01 
                 −4.202638E+00 
                 −2.554004E+01 
                 1.808468E+01 
               
               
                 A8 
                 1.502083E+02 
                 3.698104E+01 
                 2.113530E+02 
                 −6.379416E+01 
               
               
                 A10 
                 −4.134883E+02 
                 −1.606155E+02 
                 −1.072030E+03 
                 1.446105E+02 
               
               
                 A12 
                 6.127097E+02 
                 3.476316E+02 
                 3.344795E+03 
                 −1.994023E+02 
               
               
                 A14 
                 −3.852027E+02 
                 −2.793116E+02 
                 −6.307215E+03 
                 1.508503E+02 
               
               
                 A16 
                 0.000000E+00 
                 0.000000E+00 
                 6.602534E+03 
                 −4.791298E+01 
               
               
                 A18 
                 0.000000E+00 
                 0.000000E+00 
                 −2.944863E+03 
                 0.000000E+00 
               
               
                   
               
            
           
         
       
     
     In the fourth embodiment, the presentation of the aspheric surface formula is similar to that in the first embodiment. Furthermore, the definitions of parameters in following tables are equal to those in the first embodiment, so the repetitious details will not be given here. 
     The following content may be deduced from Table 7 and Table 8. 
     
       
         
           
               
             
               
                   
               
               
                 The fourth embodiment (Primary reference wavelength: 555 nm) 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 |f/f1| 
                 |f/f2| 
                 |f/f3| 
                 |f/f4| 
                 |f/f5| 
                 |f/f6| 
               
               
                 0.07233 
                 0.21933 
                 0.67606 
                 0.45821 
                 1.06399 
                 0.43340 
               
            
           
           
               
               
               
               
               
               
            
               
                   
                   
                 ΣPPR/ 
                   
                   
                 TP4/ 
               
               
                 ΣPPR 
                 ΣNPR 
                 |ΣNPR| 
                 IN12/f 
                 IN56/f 
                 (IN34 + TP4 + IN45) 
               
               
                 2.27059 
                 0.65274 
                 3.47857 
                 0.12791 
                 0.01966 
                 0.81234 
               
            
           
           
               
               
               
               
            
               
                 |f1/f2| 
                 |f2/f3| 
                 (TP1 + IN12)/TP2 
                 (TP6 + IN56)/TP5 
               
               
                 3.03234 
                 3.08233 
                 2.45851 
                 0.62857 
               
            
           
           
               
               
               
               
               
               
            
               
                 HOS 
                 InTL 
                 HOS/HOI 
                 InS/HOS 
                 ODT % 
                 TDT % 
               
               
                 2.76997 
                 2.05033 
                 2.76997 
                 0.71258 
                 2.03974 
                 4.05132 
               
            
           
           
               
               
               
               
               
               
            
               
                 HVT51 
                 HVT52 
                 HVT61 
                 HVT62 
                 HVT62/HOI 
                 HVT62/HOS 
               
               
                 0.28162 
                 0.6322 
                 0.46499 
                 0.64675 
                 0.64675 
                 0.23349 
               
            
           
           
               
               
               
               
               
               
            
               
                 HVT21 
                 HVT22 
                 HVT31 
                 HVT32 
                 HVT41 
                 HVT42 
               
               
                 0.000 
                 0.384 
                 0.181 
                 0.000 
                 0.000 
                 0.212 
               
            
           
           
               
               
               
               
               
               
            
               
                   
                   
                   
                   
                 |InRS61|/ 
                 |InRS62|/ 
               
               
                 TP2/TP3 
                 TP3/TP4 
                 InRS61 
                 InRS62 
                 TP6 
                 TP6 
               
               
                 0.57928 
                 1.56056 
                 −0.01257 
                 0.12468 
                 0.06284 
                 0.62342 
               
            
           
           
               
               
               
               
               
               
            
               
                 PLTA 
                 PSTA 
                 NLTA 
                 NSTA 
                 SLTA 
                 SSTA 
               
               
                 −0.007 
                 0.015 mm 
                 −0.001 
                 −0.004 mm 
                 −0.008 
                 0.003 mm 
               
               
                 mm 
                   
                 mm 
                   
                 mm 
               
            
           
           
               
               
               
               
               
               
            
               
                 IN12 + IN23 
                 IN34 + IN45 
                 IN12 
                 IN23 
                 IN34 
                 IN45 
               
               
                 0.301 
                 0.051 
                 0.130 
                 0.171 
                 0.020 
                 0.031 
               
            
           
           
               
               
               
               
               
               
            
               
                 PhiA11 
                 PhiA12 
                 PhiA6 
                 PhiB 
                 PhiC 
                 PhiD 
               
               
                 1.738 mm 
                 1.114 mm 
                 1.666 mm 
                 1.681 mm 
                 1.881 mm 
                 2.081 mm 
               
            
           
           
               
               
               
               
            
               
                 PhiA6/InTL 
                 PhiA6/2HOI 
                 PhiA11/2HOI 
                 SFR (PhiA11/PhiA6) 
               
               
                 0.8125 
                 0.833 
                 0.869 
                 1.0432 
               
               
                   
               
            
           
         
       
     
     The values associated with outline curve length may be deduced from Table 7 and Table 8. 
     
       
         
           
               
             
               
                   
               
               
                 The fourth embodiment (Primary reference wavelength: 555 nm) 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
               
            
               
                   
                   
                 ARE 
                 ARE − 
                 2(ARE/ 
                   
                 ARE/ 
               
               
                 ARE 
                 1/2(HEP) 
                 value 
                 1/2(HEP) 
                 HEP)% 
                 TP 
                 TP(%) 
               
               
                   
               
               
                 11 
                 0.357 
                 0.356 
                 −0.00091 
                 99.74% 
                 0.362 
                 98.48% 
               
               
                 12 
                 0.357 
                 0.357 
                 0.00016 
                 100.04% 
                 0.362 
                 98.78% 
               
               
                 21 
                 0.357 
                 0.357 
                 −0.00009 
                 99.97% 
                 0.200 
                 178.45% 
               
               
                 22 
                 0.357 
                 0.357 
                 −0.00045 
                 99.87% 
                 0.200 
                 178.27% 
               
               
                 31 
                 0.357 
                 0.359 
                 0.00208 
                 100.58% 
                 0.345 
                 104.00% 
               
               
                 32 
                 0.357 
                 0.367 
                 0.00951 
                 102.66% 
                 0.345 
                 106.15% 
               
               
                 41 
                 0.357 
                 0.357 
                 −0.00001 
                 100.00% 
                 0.221 
                 161.35% 
               
               
                 42 
                 0.357 
                 0.358 
                 0.00060 
                 100.17% 
                 0.221 
                 161.63% 
               
               
                 51 
                 0.357 
                 0.356 
                 −0.00069 
                 99.81% 
                 0.350 
                 101.80% 
               
               
                 52 
                 0.357 
                 0.369 
                 0.01243 
                 103.48% 
                 0.350 
                 105.55% 
               
               
                 61 
                 0.357 
                 0.363 
                 0.00630 
                 101.77% 
                 0.200 
                 181.65% 
               
               
                 62 
                 0.357 
                 0.375 
                 0.01828 
                 105.12% 
                 0.200 
                 187.64% 
               
               
                   
               
               
                   
                   
                 ARS 
                 ARS − 
                 (ARS/ 
                   
                 ARS/ 
               
               
                 ARS 
                 EHD 
                 value 
                 EHD 
                 EHD)% 
                 TP 
                 TP(%) 
               
               
                   
               
               
                 11 
                 0.869 
                 0.935 
                 0.06565 
                 107.55% 
                 0.362 
                 258.63% 
               
               
                 12 
                 0.557 
                 0.649 
                 0.09161 
                 116.44% 
                 0.362 
                 179.44% 
               
               
                 21 
                 0.552 
                 0.566 
                 0.01437 
                 102.60% 
                 0.200 
                 283.09% 
               
               
                 22 
                 0.505 
                 0.507 
                 0.00154 
                 100.30% 
                 0.200 
                 253.40% 
               
               
                 31 
                 0.388 
                 0.396 
                 0.00750 
                 101.93% 
                 0.345 
                 114.62% 
               
               
                 32 
                 0.503 
                 0.550 
                 0.04655 
                 109.25% 
                 0.345 
                 159.17% 
               
               
                 41 
                 0.571 
                 0.574 
                 0.00240 
                 100.42% 
                 0.221 
                 259.23% 
               
               
                 42 
                 0.600 
                 0.656 
                 0.05619 
                 109.37% 
                 0.221 
                 296.60% 
               
               
                 51 
                 0.628 
                 0.632 
                 0.00400 
                 100.64% 
                 0.350 
                 180.54% 
               
               
                 52 
                 0.645 
                 0.678 
                 0.03288 
                 105.10% 
                 0.350 
                 193.59% 
               
               
                 61 
                 0.677 
                 0.710 
                 0.03365 
                 104.97% 
                 0.200 
                 355.11% 
               
               
                 62 
                 0.833 
                 0.875 
                 0.04163 
                 105.00% 
                 0.200 
                 437.47% 
               
               
                   
               
            
           
         
       
     
     The following content may be deduced from Table 7 and Table 8. 
     
       
         
           
               
             
               
                   
               
               
                 Value associated with inflection point of the fourth embodiment 
               
               
                 (Primary reference wavelength: 555 nm) 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                 HIF111 
                 0.1563 
                 HIF111/HOI 
                 0.1563 
                 SGI111 
                 −0.0028 
                 | SGI111 |/ 
                 0.0076 
               
               
                   
                   
                   
                   
                   
                   
                 (| SGI111 | + TP1) 
               
               
                 HIF112 
                 0.8313 
                 HIF112/HOI 
                 0.8313 
                 SGI112 
                 0.1928 
                 | SGI112 |/ 
                 0.3478 
               
               
                   
                   
                   
                   
                   
                   
                 (| SGI112 | + TP1) 
               
               
                 HIF121 
                 0.1094 
                 HIF121/HOI 
                 0.1094 
                 SGI121 
                 −0.0018 
                 | SGI121 |/ 
                 0.0050 
               
               
                   
                   
                   
                   
                   
                   
                 (| SGI121 | + TP1) 
               
               
                 HIF211 
                 0.5417 
                 HIF211/HOI 
                 0.5417 
                 SGI211 
                 0.0828 
                 | SGI211 |/ 
                 0.2928 
               
               
                   
                   
                   
                   
                   
                   
                 (| SGI211 | + TP2) 
               
               
                 HIF221 
                 0.2286 
                 HIF221/HOI 
                 0.2286 
                 SGI221 
                 0.0103 
                 | SGI221 |/ 
                 0.0491 
               
               
                   
                   
                   
                   
                   
                   
                 (| SGI221 | + TP2) 
               
               
                 HIF311 
                 0.1093 
                 HIF311/HOI 
                 0.1093 
                 SGI311 
                 0.0011 
                 | SGI311 |/ 
                 0.0031 
               
               
                   
                   
                   
                   
                   
                   
                 (| SGI311 | + TP3) 
               
               
                 HIF411 
                 0.3750 
                 HIF411/HOI 
                 0.3750 
                 SGI411 
                 −0.0252 
                 | SGI411 |/ 
                 0.1024 
               
               
                   
                   
                   
                   
                   
                   
                 (| SGI411 | + TP4) 
               
               
                 HIF412 
                 0.5064 
                 HIF412/HOI 
                 0.5064 
                 SGI412 
                 −0.0414 
                 | SGI412 |/ 
                 0.1575 
               
               
                   
                   
                   
                   
                   
                   
                 (| SGI412 | + TP4) 
               
               
                 HIF413 
                 0.5563 
                 HIF413/HOI 
                 0.5563 
                 SGI413 
                 −0.0464 
                 | SGI413 |/ 
                 0.1734 
               
               
                   
                   
                   
                   
                   
                   
                 (| SGI413 | + TP4) 
               
               
                 HIF421 
                 0.1308 
                 HIF421/HOI 
                 0.1308 
                 SGI421 
                 0.0025 
                 | SGI421 |/ 
                 0.0112 
               
               
                   
                   
                   
                   
                   
                   
                 (| SGI421 | + TP4) 
               
               
                 HIF511 
                 0.1807 
                 HIF511/HOI 
                 0.1807 
                 SGI511 
                 0.0054 
                 | SGI511 |/ 
                 0.0151 
               
               
                   
                   
                   
                   
                   
                   
                 (| SGI511 | + TP5) 
               
               
                 HIF512 
                 0.4869 
                 HIF512/HOI 
                 0.4869 
                 SGI512 
                 −0.0200 
                 | SGI512 |/ 
                 0.0540 
               
               
                   
                   
                   
                   
                   
                   
                 (| SGI512 | + TP5) 
               
               
                 HIF521 
                 0.4535 
                 HIF521/HOI 
                 0.4535 
                 SGI521 
                 −0.1321 
                 | SGI521 |/ 
                 0.2739 
               
               
                   
                   
                   
                   
                   
                   
                 (| SGI521 | + TP5) 
               
               
                 HIF611 
                 0.2458 
                 HIF611/HOI 
                 0.2458 
                 SGI611 
                 0.0408 
                 | SGI611 |/ 
                 0.1695 
               
               
                   
                   
                   
                   
                   
                   
                 (| SGI611 | + TP6) 
               
               
                 HIF621 
                 0.2864 
                 HIF621/HOI 
                 0.2864 
                 SGI621 
                 0.0811 
                 | SGI621 |/ 
                 0.2886 
               
               
                   
                   
                   
                   
                   
                   
                 (| SGI621 | + TP6) 
               
               
                   
               
            
           
         
       
     
     The Fifth Embodiment 
     Please refer to  FIGS. 5A, 5B and 5C .  FIG. 5A  is a schematic view of an optical image capturing system of a fifth embodiment of the present invention.  FIG. 5B  shows curve diagrams of longitudinal spherical aberration, astigmatic field, and optical distortion of the optical image capturing system in the order from left to right of the fifth embodiment of the present invention.  FIG. 5C  is a transverse aberration diagram of the longest operation wavelength and the shortest operation wavelength for tangential fan and sagittal fan, in which the longest operation wavelength and the shortest operation wavelength pass through an edge of the entrance pupil and strike at the position of 0.7 field of view on the image plane, according to the fourth embodiment of the present invention. As shown in  FIG. 5A , in order along an optical axis from an object side to an image side, the optical image capturing system comprises a first lens element  510 , a second lens element  520 , a third lens element  530 , an aperture stop  500 , a fourth lens element  540 , a fifth lens element  550 , a sixth lens element  560 , an IR-bandstop Filter  580 , an image plane  590  and an image-sensing device  592 . 
     The first lens element  510  has negative refractive power and is made of a plastic material, and has a concave object-side surface  512  and a concave image-side surface  514 , and both of the object-side surface  512  and the image-side surface  514  are aspheric. The object-side surface  512  has an inflection point. 
     The second lens element  520  has positive refractive power and is made of a plastic material, has a convex object-side surface  522  and a concave image-side surface  524 , and both of the object-side surface  522  and the image-side surface  524  are aspheric. Each of the object-side surface  522  and the image-side surface  524  has an inflection point. 
     The third lens element  530  has negative refractive power and is made of a plastic material, has a convex object-side surface  532  and a concave image-side surface  534 , and both of the object-side surface  532  and the image-side surface  534  are aspheric. The image-side surface  534  has an inflection point. 
     The fourth lens element  540  has positive refractive power and is made of a plastic material, and has a convex object-side surface  542  and a convex image-side surface  544 , and both of the object-side surface  542  and the image-side surface  544  are aspheric. The object-side surface  542  has an inflection point. 
     The fifth lens element  550  has positive refractive power and is made of a plastic material, and has a concave object-side surface  552  and a convex image-side surface  554 , and both of the object-side surface  552  and the image-side surface  554  are aspheric. The image-side surface  554  has an inflection point. 
     The sixth lens element  560  has negative refractive power and is made of a plastic material, has a convex object-side surface  562  and a concave image-side surface  564 , and both of the object-side surface  562  and the image-side surface  564  are aspheric. With this configuration, the back focal length can be shortened to maintain the characteristics of small size. Furthermore, each of the object-side surface  562  and the image-side surface  564  has an inflection point, so that the angle of incident with incoming light from an off-axis view field can be suppressed effectively and, and correct the off-axis view field aberration. 
     The IR-bandstop Filter  580  is made of glass and disposed between the sixth lens element  560  and the image plane  590 , and it does not affect the focal length of the optical image capturing system. 
     The parameters of the lens elements of the fifth embodiment are listed in Table 9 and Table 10. 
     
       
         
           
               
             
               
                 TABLE 9 
               
               
                   
               
               
                 Lens Parameters for the fifth Embodiment 
               
               
                   
               
             
            
               
                 f(focus length) = 0.960 mm; f/HEP = 1.4; 
               
               
                 HAF(half angle of view) = 45 deg 
               
            
           
           
               
               
               
               
            
               
                 Surface No. 
                 Curvature Radius 
                 Thickness (mm) 
                 Material 
               
               
                   
               
            
           
           
               
               
               
               
               
            
               
                 0 
                 object 
                 1E+18 
                 1E+18 
                   
               
               
                 1 
                 first lens 
                 −7.989454959 
                 0.200 
                 Plastic 
               
               
                 2 
                   
                 0.593976285 
                 0.090 
               
               
                 3 
                 second lens 
                 0.640084603 
                 0.399 
                 Plastic 
               
               
                 4 
                   
                 −4.132649636 
                 0.101 
               
               
                 5 
                 third lens 
                 8.299654456 
                 0.200 
                 Plastic 
               
               
                 6 
                   
                 1.638902178 
                 0.025 
               
               
                 7 
                 aperture stop 
                 1E+18 
                 0.010 
               
               
                 8 
                 fourth lens 
                 1.376144554 
                 0.327 
                 Plastic 
               
               
                 9 
                   
                 −1.616292278 
                 0.091 
               
               
                 10 
                 fifth lens 
                 −1.072884538 
                 0.305 
                 Plastic 
               
               
                 11 
                   
                 −0.611079961 
                 0.010 
               
               
                 12 
                 sixth lens 
                 0.789046714 
                 0.200 
                 Plastic 
               
               
                 13 
                   
                 0.672689503 
                 0.071 
               
               
                 14 
                 IR-bandstop 
                 1E+18 
                 0.150 
                 BK_7 
               
               
                   
                 Filter 
               
               
                 15 
                   
                 1E+18 
                 0.482 
               
               
                 16 
                 image plate 
                 1E+18 
                 0.018 
               
               
                   
               
            
           
           
               
               
               
               
            
               
                   
                   
                 Coefficient of 
                   
               
               
                 Surface No. 
                 Refractive Index 
                 Dispersion 
                 Focus length 
               
               
                   
               
               
                 0 
               
               
                 1 
                 1.544 
                 55.938 
                 −1.005 
               
               
                 2 
               
               
                 3 
                 1.584 
                 29.878 
                 0.974 
               
               
                 4 
               
               
                 5 
                 1.544 
                 55.938 
                 −3.782 
               
               
                 6 
               
               
                 7 
               
               
                 8 
                 1.544 
                 55.938 
                 1.417 
               
               
                 9 
               
               
                 10 
                 1.544 
                 55.938 
                 2.109 
               
               
                 11 
               
               
                 12 
                 1.661 
                 20.381 
                 −21.900 
               
               
                 13 
               
               
                 14 
                 1.517 
                 64.13 
               
               
                 15 
               
               
                 16 
               
               
                   
               
               
                 Reference wavelength = 555 nm; shield position: the clear aperture of the second surface is 0.740 mm; the clear aperture of the thirteenth surface is 0.780 mm 
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 10 
               
               
                   
               
               
                 Aspheric Coefficients 
               
               
                 Table 10: Aspheric Coefficients 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
            
               
                   
                 Surface No 
               
            
           
           
               
               
               
               
               
            
               
                   
                 1 
                 2 
                 3 
                 4 
               
               
                   
               
               
                 k 
                 1.539415E+00 
                 −7.410275E−01 
                 −2.823332E−01 
                 −1.037773E+01 
               
               
                 A4 
                 3.464255E−01 
                 −8.798470E−01 
                 −1.088592E+00 
                 1.960048E+00 
               
               
                 A6 
                 −3.530986E−01 
                 1.053553E+00 
                 7.305237E−01 
                 2.067445E+00 
               
               
                 A8 
                 2.532080E−01 
                 −3.698164E+00 
                 4.929539E+00 
                 −1.018669E+01 
               
               
                 A10 
                 3.932359E−02 
                 5.116612E+00 
                 −1.196981E+01 
                 1.937507E+02 
               
               
                 A12 
                 −8.273924E−02 
                 −3.776401E−03 
                 4.916071E−06 
                 −1.196322E−09 
               
               
                 A14 
                 −2.988790E−02 
                 1.120346E−06 
                 4.222492E−08 
                 6.754613E−08 
               
               
                 A16 
                 4.592611E−02 
                 3.112732E−07 
                 6.197903E−08 
                 3.706575E−06 
               
               
                 A18 
                 0.000000E+00 
                 0.000000E+00 
                 0.000000E+00 
                 0.000000E+00 
               
               
                   
               
            
           
           
               
               
            
               
                   
                 Surface No. 
               
            
           
           
               
               
               
               
               
            
               
                   
                 5 
                 6 
                 8 
                 9 
               
               
                   
               
               
                 k 
                 8.961631E+01 
                 3.540613E+00 
                 −1.780304E+01 
                 −5.203743E+01 
               
               
                 A4 
                 2.008111E+00 
                 −3.952721E−01 
                 2.811343E−01 
                 −4.183688E−01 
               
               
                 A6 
                 −7.393846E+00 
                 −1.420559E+01 
                 −1.014129E+01 
                 7.138832E−01 
               
               
                 A8 
                 4.384359E+01 
                 4.236166E+01 
                 −4.102864E+00 
                 −5.646386E+01 
               
               
                 A10 
                 −9.876909E+01 
                 −3.389526E+01 
                 6.785009E+01 
                 1.523894E+02 
               
               
                 A12 
                 −1.395557E−09 
                 −8.473100E−02 
                 −3.361810E−07 
                 −8.943685E−08 
               
               
                 A14 
                 8.021138E−07 
                 8.200171E−07 
                 7.880327E−08 
                 3.895432E−07 
               
               
                 A16 
                 2.050991E−06 
                 2.638084E−06 
                 −3.998272E−07 
                 2.145229E−05 
               
               
                 A18 
                 0.000000E+00 
                 0.000000E+00 
                 0.000000E+00 
                 0.000000E+00 
               
               
                   
               
            
           
           
               
               
            
               
                   
                 Surface No. 
               
            
           
           
               
               
               
               
               
            
               
                   
                 10 
                 11 
                 12 
                 13 
               
               
                   
               
               
                 k 
                 −1.305945E+01 
                 −8.830356E−01 
                 −1.241568E+01 
                 −6.333512E+00 
               
               
                 A4 
                 1.380535E+00 
                 2.246278E−01 
                 −8.687447E−01 
                 −1.285787E+00 
               
               
                 A6 
                 −7.508992E+00 
                 5.296272E+00 
                 −1.400701E+00 
                 1.421114E+00 
               
               
                 A8 
                 −1.196673E+01 
                 −2.435680E+01 
                 3.804008E−01 
                 −2.454796E+00 
               
               
                 A10 
                 3.454552E+01 
                 3.906452E+01 
                 6.175762E+00 
                 9.320276E−01 
               
               
                 A12 
                 −1.245373E−07 
                 −1.725054E−07 
                 −2.768799E+01 
                 2.318191E+00 
               
               
                 A14 
                 1.137649E−06 
                 1.010185E−07 
                 3.090607E+01 
                 −3.753056E+00 
               
               
                 A16 
                 2.599693E−06 
                 −4.072616E−05 
                 −3.438554E+01 
                 −5.141225E−03 
               
               
                 A18 
                 0.000000E+00 
                 0.000000E+00 
                 0.000000E+00 
                 0.000000E+00 
               
               
                   
               
            
           
         
       
     
     In the fifth embodiment, the presentation of the aspheric surface formula is similar to that in the first embodiment. furthermore, the definitions of parameters in following tables are equal to those in the first embodiment, so the repetitious details will not be given here. 
     The following contents may be deduced from Table 9 and Table 10. 
     
       
         
           
               
             
               
                   
               
               
                 The fifth embodiment (Primary reference wavelength: 555 nm) 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 |f/f1| 
                 |f/f2| 
                 |f/f3| 
                 |f/f4| 
                 |f/f5| 
                 |f/f6| 
               
               
                 0.95567 
                 0.98622 
                 0.25390 
                 0.67780 
                 0.45529 
                 0.04384 
               
            
           
           
               
               
               
               
               
               
            
               
                   
                   
                 ΣPPR/ 
                   
                   
                 TP4/ 
               
               
                 ΣPPR 
                 ΣNPR 
                 |ΣNPR| 
                 IN12/f 
                 IN56/f 
                 (IN34 + TP4 + IN45) 
               
               
                 2.08875 
                 1.28396 
                 1.62681 
                 0.09332 
                 0.01041 
                 0.72133 
               
            
           
           
               
               
               
               
            
               
                 |f1/f2| 
                 |f2/f3| 
                 (TP1 + IN12)/TP2 
                 (TP6 + IN56)/TP5 
               
               
                 1.03196 
                 0.25744 
                 0.72606 
                 0.68792 
               
            
           
           
               
               
               
               
               
               
            
               
                 HOS 
                 InTL 
                 HOS/HOI 
                 InS/HOS 
                 ODT % 
                 TDT % 
               
               
                 2.68000 
                 1.95899 
                 2.68000 
                 0.62125 
                 3.01613 
                 2.36215 
               
            
           
           
               
               
               
               
               
               
            
               
                 HVT51 
                 HVT52 
                 HVT61 
                 HVT62 
                 HVT62/HOI 
                 HVT62/HOS 
               
               
                 0 
                 0 
                 0.38090 
                 0.44437 
                 0.44437 
                 0.16581 
               
            
           
           
               
               
               
               
               
               
            
               
                 HVT21 
                 HVT22 
                 HVT31 
                 HVT32 
                 HVT41 
                 HVT42 
               
               
                 0.000 
                 0.171 
                 0.000 
                 0.310 
                 0.326 
                 0.000 
               
            
           
           
               
               
               
               
               
               
            
               
                   
                   
                   
                   
                 |InRS61|/ 
                 |InRS62|/ 
               
               
                 TP2/TP3 
                 TP3/TP4 
                 InRS61 
                 InRS62 
                 TP6 
                 TP6 
               
               
                 1.99439 
                 0.61072 
                 −0.06410 
                 −0.08278 
                 0.32048 
                 0.41390 
               
            
           
           
               
               
               
               
               
               
            
               
                 PLTA 
                 PSTA 
                 NLTA 
                 NSTA 
                 SLTA 
                 SSTA 
               
               
                 −0.023 
                 0.005 
                 −0.003 
                 −0.007 
                 −0.011 
                 0.003 
               
               
                 mm 
                 mm 
                 mm 
                 mm 
                 mm 
                 mm 
               
            
           
           
               
               
               
               
               
               
            
               
                 IN12 + IN23 
                 IN34 + IN45 
                 IN12 
                 IN23 
                 IN34 
                 IN45 
               
               
                 0.191 
                 0.126 
                 0.090 
                 0.101 
                 0.035 
                 0.091 
               
            
           
           
               
               
               
               
               
               
            
               
                 PhiA11 
                 PhiA12 
                 PhiA6 
                 PhiB 
                 PhiC 
                 PhiD 
               
               
                 2.170 mm 
                 1.480 mm 
                 1.560 mm 
                 1.575 mm 
                 1.775 mm 
                 1.975 mm 
               
            
           
           
               
               
               
               
               
            
               
                   
                   
                   
                   
                 SFR 
               
               
                   
                 PhiA6/ 
                 PhiA6/ 
                 PhiA11/ 
                 (PhiA11/ 
               
               
                   
                 InTL 
                 2HOI 
                 2HOI 
                 PhiA6) 
               
               
                   
                 0.7963 
                 0.780 
                 1.085 
                 1.3910 
               
               
                   
                   
               
            
           
         
       
     
     The values associated with outline curve length may be deduced from Table 9 and Table 10. 
     
       
         
           
               
             
               
                   
               
               
                 The fifth embodiment (Primary reference wavelength: 555 nm) 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
               
            
               
                   
                   
                 ARE 
                 ARE − 
                 2(ARE/ 
                   
                 ARE/ 
               
               
                 ARE 
                 1/2(HEP) 
                 value 
                 1/2(HEP) 
                 HEP)% 
                 TP 
                 TP (%) 
               
               
                   
               
               
                 11 
                 0.337 
                 0.336 
                 −0.00089 
                 99.73% 
                 0.200 
                 168.01% 
               
               
                 12 
                 0.337 
                 0.350 
                 0.01309 
                 103.88% 
                 0.200 
                 175.00% 
               
               
                 21 
                 0.337 
                 0.348 
                 0.01129 
                 103.35% 
                 0.399 
                 87.29% 
               
               
                 22 
                 0.337 
                 0.338 
                 0.00080 
                 100.24% 
                 0.399 
                 84.67% 
               
               
                 31 
                 0.337 
                 0.338 
                 0.00119 
                 100.35% 
                 0.200 
                 169.05% 
               
               
                 32 
                 0.337 
                 0.337 
                 −0.00028 
                 99.92% 
                 0.200 
                 168.32% 
               
               
                 41 
                 0.337 
                 0.337 
                 0.00015 
                 100.04% 
                 0.327 
                 102.93% 
               
               
                 42 
                 0.337 
                 0.339 
                 0.00185 
                 100.55% 
                 0.327 
                 103.44% 
               
               
                 51 
                 0.337 
                 0.338 
                 0.00158 
                 100.47% 
                 0.305 
                 110.88% 
               
               
                 52 
                 0.337 
                 0.350 
                 0.01281 
                 103.80% 
                 0.305 
                 114.56% 
               
               
                 61 
                 0.337 
                 0.339 
                 0.00168 
                 100.50% 
                 0.200 
                 169.29% 
               
               
                 62 
                 0.337 
                 0.341 
                 0.00364 
                 101.08% 
                 0.200 
                 170.28% 
               
               
                   
               
               
                   
                   
                 ARS 
                 ARS − 
                 (ARS/ 
                   
                 ARS/ 
               
               
                 ARS 
                 EHD 
                 value 
                 EHD 
                 EHD)% 
                 TP 
                 TP (%) 
               
               
                   
               
               
                 11 
                 1.085 
                 1.168 
                 0.08237 
                 107.59% 
                 0.200 
                 583.93% 
               
               
                 12 
                 0.740 
                 0.833 
                 0.09341 
                 112.62% 
                 0.200 
                 416.70% 
               
               
                 21 
                 0.679 
                 0.763 
                 0.08481 
                 112.50% 
                 0.399 
                 191.40% 
               
               
                 22 
                 0.467 
                 0.538 
                 0.07124 
                 115.27% 
                 0.399 
                 134.84% 
               
               
                 31 
                 0.461 
                 0.474 
                 0.01314 
                 102.85% 
                 0.200 
                 237.09% 
               
               
                 32 
                 0.416 
                 0.418 
                 0.00167 
                 100.40% 
                 0.200 
                 208.88% 
               
               
                 41 
                 0.403 
                 0.404 
                 0.00094 
                 100.23% 
                 0.327 
                 123.29% 
               
               
                 42 
                 0.469 
                 0.491 
                 0.02166 
                 104.61% 
                 0.327 
                 149.92% 
               
               
                 51 
                 0.479 
                 0.498 
                 0.01910 
                 103.99% 
                 0.305 
                 163.25% 
               
               
                 52 
                 0.555 
                 0.593 
                 0.03789 
                 106.83% 
                 0.305 
                 194.15% 
               
               
                 61 
                 0.604 
                 0.641 
                 0.03667 
                 106.07% 
                 0.200 
                 320.37% 
               
               
                 62 
                 0.780 
                 0.890 
                 0.11050 
                 114.17% 
                 0.200 
                 445.25% 
               
               
                   
               
            
           
         
       
     
     The following contents may be deduced from Table 9 and Table 10 
     
       
         
           
               
             
               
                   
               
               
                 Value associated with inflection point of the fifth embodiment 
               
               
                 (Primary reference wavelength: 555 nm) 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                 HIF111 
                 0.1811 
                 HIF111/HOI 
                 0.1811 
                 SGI111 
                 −0.0017 
                 | SGI111 |/ 
                 0.0084 
               
               
                   
                   
                   
                   
                   
                   
                 (| SGI111 | + TP1) 
               
               
                 HIF211 
                 0.5976 
                 HIF211/HOI 
                 0.5976 
                 SGI211 
                 0.2512 
                 | SGI211 |/ 
                 0.3864 
               
               
                   
                   
                   
                   
                   
                   
                 (| SGI211 | + TP2) 
               
               
                 HIF221 
                 0.0998 
                 HIF221/HOI 
                 0.0998 
                 SGI221 
                 −0.0010 
                 | SGI221 |/ 
                 0.0025 
               
               
                   
                   
                   
                   
                   
                   
                 (| SGI221 | + TP2) 
               
               
                 HIF321 
                 0.1952 
                 HIF321/HOI 
                 0.1952 
                 SGI321 
                 0.0105 
                 | SGI321 |/ 
                 0.0501 
               
               
                   
                   
                   
                   
                   
                   
                 (| SGI321 | + TP3) 
               
               
                 HIF411 
                 0.2103 
                 HIF411/HOI 
                 0.2103 
                 SGI411 
                 0.0144 
                 | SGI411 |/ 
                 0.0421 
               
               
                   
                   
                   
                   
                   
                   
                 (| SGI411 | + TP4) 
               
               
                 HIF521 
                 0.4602 
                 HIF521/HOI 
                 0.4602 
                 SGI521 
                 −0.1482 
                 | SGI521 |/ 
                 0.3269 
               
               
                   
                   
                   
                   
                   
                   
                 (| SGI521 | + TP5) 
               
               
                 HIF611 
                 0.2081 
                 HIF611/HOI 
                 0.2081 
                 SGI611 
                 0.0217 
                 | SGI611 |/ 
                 0.0980 
               
               
                   
                   
                   
                   
                   
                   
                 (| SGI611 | + TP6) 
               
               
                 HIF621 
                 0.2302 
                 HIF621/HOI 
                 0.2302 
                 SGI621 
                 0.0312 
                 | SGI621 |/ 
                 0.1350 
               
               
                   
                   
                   
                   
                   
                   
                 (| SGI621 | + TP6) 
               
               
                   
               
            
           
         
       
     
     The Sixth Embodiment 
     Please refer to  FIGS. 6A, 6B and 6C .  FIG. 6A  is a schematic view of an optical image capturing system of a sixth embodiment of the present invention.  FIG. 6B  shows curve diagrams of longitudinal spherical aberration, astigmatic field, and optical distortion of the optical image capturing system in the order from left to right of the sixth embodiment of the present invention.  FIG. 6C  is a transverse aberration diagram of the longest operation wavelength and the shortest operation wavelength for tangential fan and sagittal fan, in which the longest operation wavelength and the shortest operation wavelength pass through an edge of the entrance pupil and strike at the position of 0.7 field of view on the image plane, according to the sixth embodiment of the present invention. As shown in  FIG. 6A , in order along an optical axis from an object side to an image side, the optical image capturing system comprises a first lens element  610 , an aperture stop  600 , a second lens element  620 , a third lens element  630 , a fourth lens element  640 , a fifth lens element  650 , a sixth lens element  660 , an IR-bandstop Filter  680 , an image plane  690  and an image-sensing device  692 . 
     The first lens element  610  has positive refractive power and is made of a plastic material, has a convex object-side surface  612  and a concave image-side surface  614 , and both of the object-side surface  612  and the image-side surface  614  are aspheric. The image-side surface  614  has an inflection point. 
     The second lens element  620  has positive refractive power and is made of a plastic material, has a convex object-side surface  622  and a convex image-side surface  624 , and both of the object-side surface  622  and the image-side surface  624  are aspheric. The object-side surface  622  has two inflection points and the image-side surface  624  has an inflection point. 
     The third lens element  630  has negative refractive power and is made of a plastic material, and has a concave object-side surface  632  and a convex image-side surface  634 , and both of the object-side surface  632  and the image-side surface  634  are aspheric. The object-side surface  632  has an inflection point and the image-side surface  634  has two inflection points. 
     The fourth lens element  640  has positive refractive power and is made of a plastic material, has a convex object-side surface  642  and a convex image-side surface  644 , and both of the object-side surface  642  and the image-side surface  644  are aspheric. The object-side surface  642  has four inflection points and the image-side surface  644  has an inflection point. 
     The fifth lens element  650  has negative refractive power and is made of a plastic material, and has a concave object-side surface  652  and a convex image-side surface  654 , and both of the object-side surface  652  and the image-side surface  654  are aspheric. The object-side surface  652  has an inflection point and the image-side surface  654  has two inflection points. 
     The sixth lens element  660  has positive refractive power and is made of a plastic material, has a convex object-side surface  662  and a concave image-side surface  664 , and both of the object-side surface  112  and the image-side surface  114  are aspheric. Each of the object-side surface  662  and the image-side surface  664  has three inflection points. With this configuration, is useful to shorten the back focal length to maintain the characteristics of small size, the angle of incident with incoming light from an off-axis view field can be suppressed effectively, the off-axis view field aberration can be corrected. 
     The IR-bandstop Filter  680  is made of glass and disposed between the sixth lens element  660  and the image plane  690 , and it does not affect the focal length of the optical image capturing system. 
     The parameters of the lens elements of the sixth embodiment are listed in Table 11 and Table 12. 
     
       
         
           
               
             
               
                 TABLE 11 
               
               
                   
               
             
            
               
                 Lens Parameters for the Third Embodiment 
               
               
                 f(Focus length) = 0.960 mm; f/HEP = 2.0; 
               
               
                 HAF(half angle of view) = 45.007 deg 
               
            
           
           
               
               
               
               
            
               
                 Surface No. 
                 Curvature Radius 
                 Thickness (mm) 
                 Material 
               
               
                   
               
            
           
           
               
               
               
               
               
            
               
                 0 
                 Object 
                 1E+18 
                 1E+18 
                   
               
               
                 1 
                 First lens 
                 1.233314315 
                 0.387 
                 Plastic 
               
               
                 2 
                   
                 2.078212821 
                 0.005 
               
               
                 3 
                 Aperture 
                 1E+18 
                 0.026 
               
               
                   
                 stop 
               
               
                 4 
                 Second lens 
                 429.1110516 
                 0.259 
                 Plastic 
               
               
                 5 
                   
                 −0.494252587 
                 0.049 
               
               
                 6 
                 Third lens 
                 −0.289731115 
                 0.125 
                 Plastic 
               
               
                 7 
                   
                 −0.404603609 
                 0.008 
               
               
                 8 
                 Fourth lens 
                 −0.477602131 
                 0.209 
                 Plastic 
               
               
                 9 
                   
                 −0.436666405 
                 0.008 
               
               
                 10 
                 Fifth lens 
                 1.282357856 
                 0.125 
                 Plastic 
               
               
                 11 
                   
                 0.969178281 
                 0.008 
               
               
                 12 
                 Sixth lens 
                 0.628565522 
                 0.146 
                 Plastic 
               
               
                 13 
                   
                 0.829148193 
                 0.132 
               
               
                 14 
                 IR-bandstop 
                 1E+18 
                 0.115 
                 BK_7 
               
               
                   
                 Filter 
               
               
                 15 
                   
                 1E+18 
                 0.399 
               
               
                 16 
                 Image plate 
                 1E+18 
                 0.000 
               
               
                   
               
            
           
           
               
               
               
               
            
               
                 Surface No. 
                 Refractive Index 
                 Coefficient of Dispersion 
                 Focus length 
               
               
                   
               
               
                 0 
               
               
                 1 
                 1.544 
                 56.064 
                 4.783 
               
               
                 2 
               
               
                 3 
               
               
                 4 
                 1.544 
                 56.064 
                 0.905 
               
               
                 5 
               
               
                 6 
                 1.636 
                 23.879 
                 −2.771 
               
               
                 7 
               
               
                 8 
                 1.544 
                 56.064 
                 3.328 
               
               
                 9 
               
               
                 10 
                 1.661 
                 20.391 
                 −7.082 
               
               
                 11 
               
               
                 12 
                 1.544 
                 56.064 
                 3.786 
               
               
                 13 
               
               
                 14 
                 1.517 
                 64.13 
               
               
                 15 
               
               
                 16 
               
               
                   
               
               
                 Reference wavelength = 555 nm; shield position: the clear aperture of the second surface is 0.206 mm; the clear aperture of the seventh surface is 0.410 mm; the clear aperture of the thirteenth surface is 0.795 mm 
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 12 
               
               
                   
               
               
                 Aspheric Coefficients of the sixth embodiment 
               
               
                 Table 12: Aspheric Coefficients of the sixth embodiment 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
            
               
                   
                 Surface No. 
               
            
           
           
               
               
               
               
               
            
               
                   
                 1 
                 2 
                 4 
                 5 
               
               
                   
               
               
                 k 
                 −1.952190E+01 
                 0.000000E+00 
                 0.000000E+00 
                 0.000000E+00 
               
               
                 A4 
                 1.788875E+00 
                 3.557461E+00 
                 −3.077818E+00 
                 1.253605E+00 
               
               
                 A6 
                 −7.331133E+00 
                 −2.018251E+02 
                 2.157285E+02 
                 −1.718962E+02 
               
               
                 A8 
                 4.074958E+01 
                 5.979704E+03 
                 −1.616763E+04 
                 1.814609E+03 
               
               
                 A10 
                 −1.013660E+02 
                 −8.173361E+04 
                 5.231324E+05 
                 2.707594E+04 
               
               
                 A12 
                 3.064577E−01 
                 1.376449E−03 
                 −1.208328E+07 
                 −8.105341E+05 
               
               
                 A14 
                 1.075234E−03 
                 −1.431066E−02 
                 1.962836E+08 
                 6.928808E+06 
               
               
                 A16 
                 −1.197243E−02 
                 0.000000E+00 
                 −1.669081E+09 
                 −1.997921E+07 
               
               
                 A18 
                 0.000000E+00 
                 0.000000E+00 
                 0.000000E+00 
                 0.000000E+00 
               
               
                   
               
            
           
           
               
               
            
               
                   
                 Surface No. 
               
            
           
           
               
               
               
               
               
            
               
                   
                 6 
                 7 
                 8 
                 9 
               
               
                   
               
               
                 k 
                 −3.409608E−01 
                 −1.346002E−01 
                 −4.019171E−01 
                 −2.923210E−01 
               
               
                 A4 
                 1.322701E+01 
                 −2.345373E+01 
                 −4.170799E+01 
                 −4.661786E+00 
               
               
                 A6 
                 −2.693844E+02 
                 1.097636E+03 
                 1.569550E+03 
                 1.152305E+02 
               
               
                 A8 
                 1.170067E+03 
                 −1.756130E+04 
                 −2.392649E+04 
                 −6.992565E+02 
               
               
                 A10 
                 9.556469E+04 
                 1.528863E+05 
                 1.972109E+05 
                 −2.902271E+03 
               
               
                 A12 
                 −1.895245E+06 
                 −7.802444E+05 
                 −9.138245E+05 
                 5.707743E+04 
               
               
                 A14 
                 1.412104E+07 
                 2.215109E+06 
                 2.254171E+06 
                 −2.385760E+05 
               
               
                 A16 
                 −3.695447E+07 
                 −2.669325E+06 
                 −2.318342E+06 
                 3.246765E+05 
               
               
                 A18 
                 0.000000E+00 
                 0.000000E+00 
                 0.000000E+00 
                 0.000000E+00 
               
               
                   
               
            
           
           
               
               
            
               
                   
                 Surface No. 
               
            
           
           
               
               
               
               
               
            
               
                   
                 10 
                 11 
                 12 
                 13 
               
               
                   
               
               
                 k 
                 3.138932E+00 
                 3.592911E−01 
                 −1.598241E+00 
                 −2.281291E−01 
               
               
                 A4 
                 −5.805360E+00 
                 −2.736264E+00 
                 6.405870E+00 
                 6.612076E+00 
               
               
                 A6 
                 1.227052E+02 
                 4.196027E+01 
                 −7.952857E+01 
                 −8.319541E+01 
               
               
                 A8 
                 −1.216815E+03 
                 −3.640363E+02 
                 3.263246E+02 
                 3.781528E+02 
               
               
                 A10 
                 6.358045E+03 
                 1.458108E+03 
                 −6.695958E+02 
                 −9.261991E+02 
               
               
                 A12 
                 −1.909459E+04 
                 −3.046758E+03 
                 7.281528E+02 
                 1.296581E+03 
               
               
                 A14 
                 3.133547E+04 
                 3.182756E+03 
                 −3.897610E+02 
                 −9.829043E+02 
               
               
                 A16 
                 −2.207611E+04 
                 −1.276123E+03 
                 7.643286E+01 
                 3.130303E+02 
               
               
                 A18 
                 0.000000E+00 
                 0.000000E+00 
                 0.000000E+00 
                 0.000000E+00 
               
               
                   
               
            
           
         
       
     
     In the sixth embodiment, the presentation of the aspheric surface formula is similar to that in the first embodiment. furthermore, the definitions of parameters in following tables are equal to those in the first embodiment, so the repetitious details will not be given here. 
     The following contents may be deduced from Table 11 and Table 12 
     
       
         
           
               
             
               
                   
               
               
                 The sixth embodiment (Primary reference wavelength: 555 nm) 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 |f/f1| 
                 |f/f2| 
                 |f/f3| 
                 |f/f4| 
                 |f/f5| 
                 |f/f6| 
               
               
                 0.20490 
                 1.08351 
                 0.35375 
                 0.29450 
                 0.13839 
                 0.25891 
               
            
           
           
               
               
               
               
               
               
            
               
                   
                   
                 ΣPPR/ 
                   
                   
                 TP4/ 
               
               
                 ΣPPR 
                 ΣNPR 
                 |ΣNPR| 
                 IN12/f 
                 IN56/f 
                 (IN34 + TP4 + IN45) 
               
               
                 0.63779 
                 1.69617 
                 0.37602 
                 0.03163 
                 0.00765 
                 0.93308 
               
            
           
           
               
               
               
               
            
               
                 |f1/f2| 
                 |f2/f3| 
                 (TP1 + IN12)/TP2 
                 (TP6 + IN56)/TP5 
               
               
                 5.28789 
                 0.32648 
                 1.61378 
                 1.22967 
               
            
           
           
               
               
               
               
               
               
            
               
                 HOS 
                 InTL 
                 HOS/HOI 
                 InS/HOS 
                 ODT % 
                 TDT % 
               
               
                 2.00000 
                 1.35369 
                 2.00000 
                 0.80642 
                 2.26315 
                 1.47415 
               
            
           
           
               
               
               
               
               
               
            
               
                 HVT51 
                 HVT52 
                 HVT61 
                 HVT62 
                 HVT62/HOI 
                 HVT62/HOS 
               
               
                 0.446728 
                 0.45112 
                 0.45836 
                 0.64508 
                 0.64508 
                 0.32254 
               
            
           
           
               
               
               
               
               
               
            
               
                 HVT21 
                 HVT22 
                 HVT31 
                 HVT32 
                 HVT41 
                 HVT42 
               
               
                 0.014 
                 0.000 
                 0.000 
                 0.000 
                 0.393 
                 0.440 
               
            
           
           
               
               
               
               
               
               
            
               
                   
                   
                   
                   
                 |InRS61|/ 
                 |InRS62|/ 
               
               
                 TP2/TP3 
                 TP3/TP4 
                 InRS61 
                 InRS62 
                 TP6 
                 TP6 
               
               
                 2.07298 
                 0.59762 
                 0.10191 
                 0.08561 
                 0.69702 
                 0.58551 
               
            
           
           
               
               
               
               
               
               
            
               
                 PLTA 
                 PSTA 
                 NLTA 
                 NSTA 
                 SLTA 
                 SSTA 
               
               
                 −0.009 
                 0.005 
                 0.037 
                 0.040 
                 0.008 
                 0.008 
               
               
                 mm 
                 mm 
                 mm 
                 mm 
                 mm 
                 mm 
               
            
           
           
               
               
               
               
               
               
            
               
                 IN12 + IN23 
                 IN34 + IN45 
                 IN12 
                 IN23 
                 IN34 
                 IN45 
               
               
                 0.080 
                 0.016 
                 0.031 
                 0.049 
                 0.008 
                 0.008 
               
            
           
           
               
               
               
               
               
               
               
            
               
                   
                 PhiA11 
                 PhiA12 
                 PhiA6 
                 PhiB 
                 PhiC 
                 PhiD 
               
               
                   
                 0.852 
                 0.426 
                 1.590 
                 1.605 
                 1.805 
                 2.205 
               
               
                   
                 mm 
                 mm 
                 mm 
                 mm 
                 mm 
                 mm 
               
            
           
           
               
               
               
               
               
            
               
                   
                   
                   
                   
                 SFR 
               
               
                   
                 PhiA6/ 
                 PhiA6/ 
                 PhiA11/ 
                 (PhiA11/ 
               
               
                   
                 InTL 
                 2HOI 
                 2HOI 
                 PhiA6) 
               
               
                   
                 1.1746 
                 0.795 
                 0.426 
                 0.5358 
               
               
                   
                   
               
            
           
         
       
     
     The values associated with outline curve length may be deduced from Table 11 and Table 12. 
     
       
         
           
               
             
               
                   
               
               
                 The sixth embodiment (Primary reference wavelength: 555 nm) 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
               
            
               
                   
                   
                 ARE 
                 ARE − 
                 2(ARE/ 
                   
                 ARE/ 
               
               
                 ARE 
                 1/2(HEP) 
                 value 
                 1/2(HEP) 
                 HEP)% 
                 TP 
                 TP(%) 
               
               
                   
               
               
                 11 
                 0.233 
                 0.235 
                 0.00127 
                 100.54% 
                 0.387 
                 60.60% 
               
               
                 12 
                 0.206 
                 0.206 
                 0.00022 
                 100.11% 
                 0.387 
                 53.28% 
               
               
                 21 
                 0.214 
                 0.214 
                 0.00057 
                 100.27% 
                 0.259 
                 82.68% 
               
               
                 22 
                 0.233 
                 0.246 
                 0.01263 
                 105.41% 
                 0.259 
                 94.93% 
               
               
                 31 
                 0.233 
                 0.253 
                 0.01969 
                 108.44% 
                 0.125 
                 202.44% 
               
               
                 32 
                 0.233 
                 0.243 
                 0.01004 
                 104.30% 
                 0.125 
                 194.73% 
               
               
                 41 
                 0.233 
                 0.244 
                 0.01104 
                 104.73% 
                 0.209 
                 116.85% 
               
               
                 42 
                 0.233 
                 0.245 
                 0.01210 
                 105.19% 
                 0.209 
                 117.36% 
               
               
                 51 
                 0.233 
                 0.234 
                 0.00039 
                 100.17% 
                 0.125 
                 187.00% 
               
               
                 52 
                 0.233 
                 0.235 
                 0.00131 
                 100.56% 
                 0.125 
                 187.74% 
               
               
                 61 
                 0.233 
                 0.240 
                 0.00711 
                 103.05% 
                 0.146 
                 164.47% 
               
               
                 62 
                 0.233 
                 0.238 
                 0.00494 
                 102.12% 
                 0.146 
                 162.99% 
               
               
                   
               
               
                   
                   
                 ARS 
                 ARS − 
                 (ARS/ 
                   
                 ARS/ 
               
               
                 ARS 
                 EHD 
                 value 
                 EHD 
                 EHD)% 
                 TP 
                 TP(%) 
               
               
                   
               
               
                 11 
                 0.433 
                 0.447 
                 0.01407 
                 103.25% 
                 0.387 
                 115.37% 
               
               
                 12 
                 0.206 
                 0.206 
                 0.00022 
                 100.11% 
                 0.387 
                 53.28% 
               
               
                 21 
                 0.214 
                 0.214 
                 0.00057 
                 100.27% 
                 0.259 
                 82.68% 
               
               
                 22 
                 0.315 
                 0.355 
                 0.03958 
                 112.55% 
                 0.259 
                 136.99% 
               
               
                 31 
                 0.333 
                 0.378 
                 0.04552 
                 113.69% 
                 0.125 
                 302.50% 
               
               
                 32 
                 0.410 
                 0.449 
                 0.03919 
                 109.56% 
                 0.125 
                 359.35% 
               
               
                 41 
                 0.452 
                 0.469 
                 0.01743 
                 103.86% 
                 0.209 
                 224.44% 
               
               
                 42 
                 0.485 
                 0.532 
                 0.04671 
                 109.62% 
                 0.209 
                 254.44% 
               
               
                 51 
                 0.579 
                 0.598 
                 0.01906 
                 103.29% 
                 0.125 
                 478.42% 
               
               
                 52 
                 0.670 
                 0.692 
                 0.02197 
                 103.28% 
                 0.125 
                 553.83% 
               
               
                 61 
                 0.806 
                 0.826 
                 0.02013 
                 102.50% 
                 0.146 
                 565.15% 
               
               
                 62 
                 0.795 
                 0.816 
                 0.02059 
                 102.59% 
                 0.146 
                 558.01% 
               
               
                   
               
            
           
         
       
     
     The following contents may be deduced from Table 11 and Table 12. 
     
       
         
           
               
             
               
                   
               
               
                 Value associated with inflection point of the sixth embodiment 
               
               
                 (Primary reference wavelength: 555 nm) 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                 HIF121 
                 0.1620 
                 HIF121/HOI 
                 0.1620 
                 SGI121 
                 0.0069 
                 | SGI121 |/ 
                 0.0176 
               
               
                   
                   
                   
                   
                   
                   
                 (| SGI121 | + TP1) 
               
               
                 HIF211 
                 0.0080 
                 HIF211/HOI 
                 0.0080 
                 SGI211 
                 0.0000 
                 | SGI211 |/ 
                 0.0000 
               
               
                   
                   
                   
                   
                   
                   
                 (| SGI211 | + TP2) 
               
               
                 HIF212 
                 0.0080 
                 HIF212/HOI 
                 0.0080 
                 SGI212 
                 0.0000 
                 | SGI212 |/ 
                 0.0000 
               
               
                   
                   
                   
                   
                   
                   
                 (| SGI212 | + TP2) 
               
               
                 HIF221 
                 0.3061 
                 HIF221/HOI 
                 0.3061 
                 SGI221 
                 −0.1291 
                 | SGI221 |/ 
                 0.3325 
               
               
                   
                   
                   
                   
                   
                   
                 (| SGI221 | + TP2) 
               
               
                 HIF311 
                 0.2855 
                 HIF311/HOI 
                 0.2855 
                 SGI311 
                 −0.1286 
                 | SGI311 |/ 
                 0.5071 
               
               
                   
                   
                   
                   
                   
                   
                 (| SGI311 | + TP3) 
               
               
                 HIF321 
                 0.1659 
                 HIF321/HOI 
                 0.1659 
                 SGI321 
                 −0.0382 
                 | SGI321 |/ 
                 0.2340 
               
               
                   
                   
                   
                   
                   
                   
                 (| SGI321 | + TP3) 
               
               
                 HIF322 
                 0.2469 
                 HIF322/HOI 
                 0.2469 
                 SGI322 
                 −0.0686 
                 | SGI322 |/ 
                 0.3542 
               
               
                   
                   
                   
                   
                   
                   
                 (| SGI322 | + TP3) 
               
               
                 HIF411 
                 0.1649 
                 HIF411/HOI 
                 0.1649 
                 SGI411 
                 −0.0388 
                 | SGI411 |/ 
                 0.1564 
               
               
                   
                   
                   
                   
                   
                   
                 (| SGI411 | + TP4) 
               
               
                 HIF412 
                 0.2777 
                 HIF412/HOI 
                 0.2777 
                 SGI412 
                 −0.0804 
                 | SGI412 |/ 
                 0.2776 
               
               
                   
                   
                   
                   
                   
                   
                 (| SGI412 | + TP4) 
               
               
                 HIF413 
                 0.2963 
                 HIF413/HOI 
                 0.2963 
                 SGI413 
                 −0.0862 
                 | SGI413 |/ 
                 0.2917 
               
               
                   
                   
                   
                   
                   
                   
                 (| SGI413 | + TP4) 
               
               
                 HIF414 
                 0.4330 
                 HIF414/HOI 
                 0.4330 
                 SGI414 
                 −0.1029 
                 | SGI414 |/ 
                 0.3298 
               
               
                   
                   
                   
                   
                   
                   
                 (| SGI414 | + TP4) 
               
               
                 HIF421 
                 0.3330 
                 HIF421/HOI 
                 0.3330 
                 SGI421 
                 −0.1339 
                 | SGI421 |/ 
                 0.3903 
               
               
                   
                   
                   
                   
                   
                   
                 (| SGI421 | + TP4) 
               
               
                 HIF511 
                 0.3203 
                 HIF511/HOI 
                 0.3203 
                 SGI511 
                 0.0331 
                 | SGI511 |/ 
                 0.2091 
               
               
                   
                   
                   
                   
                   
                   
                 (| SGI511 | + TP5) 
               
               
                 HIF521 
                 0.3099 
                 HIF521/HOI 
                 0.3099 
                 SGI521 
                 0.0421 
                 | SGI521 |/ 
                 0.2520 
               
               
                   
                   
                   
                   
                   
                   
                 (| SGI521 | + TP5) 
               
               
                 HIF522 
                 0.6355 
                 HIF522/HOI 
                 0.6355 
                 SGI522 
                 0.0066 
                 | SGI522 |/ 
                 0.0501 
               
               
                   
                   
                   
                   
                   
                   
                 (| SGI522 | + TP5) 
               
               
                 HIF611 
                 0.2655 
                 HIF611/HOI 
                 0.2655 
                 SGI611 
                 0.0656 
                 | SGI611 |/ 
                 0.3098 
               
               
                   
                   
                   
                   
                   
                   
                 (| SGI611 | + TP6) 
               
               
                 HIF612 
                 0.5338 
                 HIF612/HOI 
                 0.5338 
                 SGI612 
                 0.1136 
                 | SGI612 |/ 
                 0.4373 
               
               
                   
                   
                   
                   
                   
                   
                 (| SGI612 | + TP6) 
               
               
                 HIF613 
                 0.6453 
                 HIF613/HOI 
                 0.6453 
                 SGI613 
                 0.1067 
                 | SGI613 |/ 
                 0.4218 
               
               
                   
                   
                   
                   
                   
                   
                 (| SGI613 | + TP6) 
               
               
                 HIF621 
                 0.2724 
                 HIF621/HOI 
                 0.2724 
                 SGI621 
                 0.0577 
                 | SGI621 |/ 
                 0.2830 
               
               
                   
                   
                   
                   
                   
                   
                 (| SGI621 | + TP6) 
               
               
                 HIF622 
                 0.5616 
                 HIF622/HOI 
                 0.5616 
                 SGI622 
                 0.1115 
                 | SGI622 |/ 
                 0.4327 
               
               
                   
                   
                   
                   
                   
                   
                 (| SGI622 | + TP6) 
               
               
                 HIF623 
                 0.5977 
                 HIF623/HOI 
                 0.5977 
                 SGI623 
                 0.1120 
                 | SGI623 |/ 
                 0.4337 
               
               
                   
                   
                   
                   
                   
                   
                 (| SGI623 | + TP6) 
               
               
                   
               
            
           
         
       
     
     Although the present invention is disclosed via the aforementioned embodiments, those embodiments do not serve to limit the scope of the present invention. A person skilled in the art may perform various alterations and modifications to the present invention without departing from the spirit and the scope of the present invention. Hence, the scope of the present invention should be defined by the following appended claims. 
     Despite the fact that the present invention is specifically presented and illustrated with reference to the exemplary embodiments thereof, it should be obvious to a person skilled in the art that, various modifications to the forms and details of the present invention may be performed without departing from the scope and spirit of the present invention defined by the following claims and equivalents thereof.