Patent Publication Number: US-9835830-B2

Title: Optical image capturing system

Description:
BACKGROUND OF THE INVENTION 
     1. Technical Field 
     The present invention generally relates to an optical system, and more particularly to a compact optical image capturing system for an electronic device. 
     2. Description of Related Art 
     In recent years, with the rise of portable electronic devices having camera functionalities, the demand for an optical image capturing system is raised gradually. The image sensing device of the ordinary photographing camera is commonly selected from charge coupled device (CCD) or complementary metal-oxide semiconductor sensor (CMOS Sensor). Also, as advanced semiconductor manufacturing technology enables the minimization of the pixel size of the image sensing device, the development of the optical image capturing system towards the field of high pixels. Therefore, the requirement for high imaging quality is rapidly raised. 
     The conventional optical system of the portable electronic device usually has three or four lenses. However, the optical system is asked to take pictures in a dark environment, in other words, the optical system is asked to have a large aperture. The conventional optical system provides high optical performance as required. 
     It is an important issue to increase the quantity of light entering the lens. Also, the modern lens is also asked to have several characters, including high image quality. 
     BRIEF SUMMARY OF THE INVENTION 
     The aspect of embodiment of the present disclosure directs to an optical image capturing system and an optical image capturing lens which use combination of refractive powers, convex and concave surfaces of five-piece optical lenses (the convex or concave surface in the disclosure denotes the geometrical shape of an image-side surface or an object-side surface of each lens on an optical axis) to increase the quantity of incoming light of the optical image capturing system, and to improve imaging quality for image formation, so as to be applied to minimized electronic products. 
     The term and its definition to the lens parameter in the embodiment of the present are shown as below for further reference. 
     The lens parameter related to a length or a height in the lens: 
     A height for image formation of the optical image capturing system is denoted by HOI. A height of the optical image capturing system is denoted by HOS. A distance from the object-side surface of the first lens to the image-side surface of the fifth lens is denoted by InTL. A distance from the first lens to the second lens is denoted by IN12 (instance). A central thickness of the first lens of the optical image capturing system on the optical axis is denoted by TP1 (instance). 
     The lens parameter related to a material in the lens: 
     An Abbe number of the first lens in the optical image capturing system is denoted by NA1 (instance). A refractive index of the first lens is denoted by Nd1 (instance). 
     The lens parameter related to a view angle of the lens: 
     A view angle is denoted by AF. Half of the view angle is denoted by HAF. A major light angle is denoted by MRA. 
     The lens parameter related to exit/entrance pupil in the lens: 
     An entrance pupil diameter of the optical image capturing system is denoted by HEP. For any surface of any lens, a maximum effective half diameter (EHD) is a perpendicular distance between an optical axis and a crossing point on the surface where the incident light with a maximum viewing angle of the system passing the very edge of the entrance pupil. For example, the maximum effective half diameter of the object-side surface of the first lens is denoted by EHD11. the maximum effective half diameter of the image-side surface of the first lens is denoted by EHD12. the maximum effective half diameter of the object-side surface of the second lens is denoted by EHD21. the maximum effective half diameter of the image-side surface of the second lens is denoted by EHD22, and so on. 
     The lens parameter related to a depth of the lens shape: 
     A distance in parallel with the optical axis from a point where the optical axis passes through to an end point of the maximum effective semi diameter on the object-side surface of the fifth lens is denoted by InRS51 (the depth of the maximum effective semi diameter). A distance in parallel with the optical axis from a point where the optical axis passes through to an end point of the maximum effective semi diameter on the image-side surface of the fifth lens is denoted by InRS52 (the depth of the maximum effective semi diameter). The depth of the maximum effective semi diameter (sinkage) on the object-side surface or the image-side surface of any other lens is denoted in the same manner. 
     The lens parameter related to the lens shape: 
     A critical point C is a tangent point on a surface of a specific lens, and the tangent point is tangent to a plane perpendicular to the optical axis and the tangent point cannot be a crossover point on the optical axis. To follow the past, a distance perpendicular to the optical axis between a critical point C41 on the object-side surface of the fourth lens and the optical axis is HVT41 (instance), and a distance perpendicular to the optical axis between a critical point C42 on the image-side surface of the fourth lens and the optical axis is HVT42 (instance). 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 on the object-side or image-side surface of other lenses the optical axis is denoted in the same manner. 
     The object-side surface of the fifth lens has one inflection point IF511 which is nearest to the optical axis, and the sinkage value of the inflection point IF511 is denoted by SGI511 (instance). A distance perpendicular to the optical axis between the inflection point IF511 and the optical axis is HIF511 (instance). The image-side surface of the fifth lens has one inflection point IF521 which is nearest to the optical axis, and the sinkage value of the inflection point IF521 is denoted by SGI521 (instance). A distance perpendicular to the optical axis between the inflection point IF521 and the optical axis is HIF521 (instance). 
     The object-side surface of the fifth lens has one inflection point IF512 which is the second nearest to the optical axis, and the sinkage value of the inflection point IF512 is denoted by SGI512 (instance). A distance perpendicular to the optical axis between the inflection point IF512 and the optical axis is HIF512 (instance). The image-side surface of the fifth lens has one inflection point IF522 which is the second nearest to the optical axis, and the sinkage value of the inflection point IF522 is denoted by SGI522 (instance). A distance perpendicular to the optical axis between the inflection point IF522 and the optical axis is HIF522 (instance). 
     The object-side surface of the fifth lens has one inflection point IF513 which is the third nearest to the optical axis, and the sinkage value of the inflection point IF513 is denoted by SGI513 (instance). A distance perpendicular to the optical axis between the inflection point IF513 and the optical axis is HIF513 (instance). The image-side surface of the fifth lens has one inflection point IF523 which is the third nearest to the optical axis, and the sinkage value of the inflection point IF523 is denoted by SGI523 (instance). A distance perpendicular to the optical axis between the inflection point IF523 and the optical axis is HIF523 (instance). 
     The object-side surface of the fifth lens has one inflection point IF514 which is the fourth nearest to the optical axis, and the sinkage value of the inflection point IF514 is denoted by SGI514 (instance). A distance perpendicular to the optical axis between the inflection point IF514 and the optical axis is HIF514 (instance). The image-side surface of the fifth lens has one inflection point IF524 which is the fourth nearest to the optical axis, and the sinkage value of the inflection point IF524 is denoted by SGI524 (instance). A distance perpendicular to the optical axis between the inflection point IF524 and the optical axis is HIF524 (instance). 
     An inflection point, a distance perpendicular to the optical axis between the inflection point and the optical axis, and a sinkage value thereof on the object-side surface or image-side surface of other lenses is denoted in the same manner. 
     The lens parameter related to an aberration: 
     Optical distortion for image formation in the optical image capturing system is denoted by ODT. TV distortion for image formation in the optical image capturing system is denoted by TDT. Further, the range of the aberration offset for the view of image formation may be limited to 50%-100% field. An offset of the spherical aberration is denoted by DFS. An offset of the coma aberration is denoted by DFC. 
     A modulation transfer function (MTF) graph of an optical image capturing system is used to test and evaluate the contrast and sharpness of the generated images. The vertical axis of the coordinate system of the MTF graph represents the contrast transfer rate, of which the value is between 0 and 1. and the horizontal axis of the coordinate system represents the spatial frequency, of which the unit is cycles/mm or Ip/mm, i.e., line pairs per millimeter. Theoretically, a perfect optical image capturing system can present all detailed contrast and every line of an object in an image. However, the contrast transfer rate of a practical optical image capturing system along a vertical axis thereof would be less than 1. In addition, peripheral areas in an image would have a poorer realistic effect than a center area thereof has. The values of MTF in a quarter of the spatial frequency at the optical axis, 0.3 field of view, and 0.7 field of view on an image plane are respectively denoted by MTFQ0, MTFQ3. and MTFQ7; the values of MTF in half of the spatial frequency (half frequency) at the optical axis, 0.3 field of view, and 0.7 field of view on an image plane are respectively denoted by MTFH0, MTFH3. and MTFH7; the values of MTF in full frequency at the optical axis, 0.3 field of view, and 0.7 field of view on the image plane are respectively denoted by MTF0, MTF3. and MTF7. The three aforementioned fields of view respectively represent the center, the inner field of view, and the outer field of view of a lens, and, therefore, can be used to evaluate the performance of an optical image capturing system. The optical image capturing system provided in the present invention mainly corresponds to photosensitive components which provide pixels having a size no large than 1.12 micrometer, and, therefore, a quarter of the spatial frequency, a half of the spatial frequency (half frequency), and the full spatial frequency (full frequency) of the MTF diagram are respectively at least 110 cycles/mm, 220 cycles/mm and 440 cycles/mm. 
     If an optical image capturing system is required to be able also to image for infrared spectrum, e.g., to be used in low-light environments, then the optical image capturing system should be workable in wavelengths of 850 nm or 800 nm. Since the main function for an optical image capturing system used in low-light environment is to distinguish the shape of objects by light and shade, which does not require high resolution, it is appropriate to only use spatial frequency less than 110 cycles/mm for evaluating the performance of optical image capturing system in the infrared spectrum. When the aforementioned wavelength of 850 nm focuses on the image plane, the contrast transfer rates (i.e., the values of MTF) in spatial frequency of 55 cycles/mm at the optical axis, 0.3 field of view, and 0.7 field of view on an image plane are respectively denoted by MTFI0, MTFI3. and MTFI7. However, infrared wavelengths of 850 nm or 800 nm are far away from the wavelengths of visible light; it would be difficult to design an optical image capturing system capable of focusing visible and infrared light (i.e., dual-mode) at the same time and achieving certain performance. 
     The present invention provides an optical image capturing system, which is capable of focusing visible and infrared light (i.e., dual-mode) at the same time and achieving certain performance, wherein the fifth lens thereof is provided with an inflection point at the object-side surface or at the image-side surface to adjust the incident angle of each view field and modify the ODT and the TDT. In addition, the surfaces of the fifth lens are capable of modifying the optical path to improve the imaging quality. 
     The optical image capturing system of the present invention includes a first lens, a second lens, a third lens, a fourth lens, a fifth lens, and an image plane in order along an optical axis from an object side to an image side. The first lens has refractive power. Both the object-side surface and the image-side surface of the fifth lens are aspheric surfaces. The optical image capturing system satisfies:
 
1.2 ≦f/HEP≦ 6.0; 0.5≦ HOS/f ≦3; and 0.5 ≦SETP/STP&lt; 1;
 
     where f is a focal length of the optical image capturing system; HEP is an entrance pupil diameter of the optical image capturing system; HOS is a distance in parallel with the optical axis between an object-side surface, which face the object side, of the first lens and the image plane; ETP1. ETP2. ETP3. ETP4. and ETP5 are respectively a thickness in parallel with the optical axis at a height of ½ HEP of the first lens to the fifth lens, wherein SETP is a sum of the aforementioned ETP1 to ETP5; TP1. TP2. TP3. TP4. and TP5 are respectively a thickness at the optical axis of the first lens to the fifth lens, wherein STP is a sum of the aforementioned TP1 to TP5. 
     The present invention further provides an optical image capturing system, including a first lens, a second lens, a third lens, a fourth lens, a fifth lens, and an image plane in order along an optical axis from an object side to an image side. The first lens has negative refractive power, wherein the object-side surface thereof can be convex near the optical axis. The second lens has refractive power. The third lens has refractive power. The fourth lens has refractive power. The fifth lens has refractive power. The object-side surface and image-side surface of at least one lens among the first lens to the fifth lens are both aspheric surfaces. At least one lens among the first lens to the fifth lens respectively have at least an inflection point on at least a surface thereof. At least one lens between the second lens and the fifth lens has positive refractive power. The optical image capturing system satisfies:
 
1.2 ≦f/HEP≦ 6.0; 0.5≦ HOS/f≦ 3.0; 0.2≦EIN/ETL&lt;1;
 
     where f is a focal length of the optical image capturing system; HEP is an entrance pupil diameter of the optical image capturing system; HOS is a distance in parallel with the optical axis between an object-side surface, which face the object side, of the first lens and the image plane; ETL is a distance in parallel with the optical axis between a coordinate point at a height of ½ HEP on the object-side surface of the first lens and the image plane; EIN is a distance in parallel with the optical axis between the coordinate point at the height of ½ HEP on the object-side surface of the first lens and a coordinate point at a height of ½ HEP on the image-side surface of the fifth lens. 
     The present invention further provides an optical image capturing system, including a first lens, a second lens, a third lens, a fourth lens, a fifth lens, and an image plane, in order along an optical axis from an object side to an image side. The number of the lenses having refractive power in the optical image capturing system is five. At least one lens among the first to the fifth lenses have at least an inflection point on at least one surface thereof. The first lens has negative refractive power, and the second lens has refractive power. The third lens has positive refractive power. The fourth lens has refractive power. The fifth lens has refractive power. The object-side surface and the image-side surface of at least one lens among the first lens to the fifth lens are both aspheric surfaces. The optical image capturing system satisfies:
 
1.2 ≦HEP≦ 3.0; 0.5 ≦HOS/f≦ 3.0; 0.2≦EIN/ETL&lt;1;
 
     where f is a focal length of the optical image capturing system; HEP is an entrance pupil diameter of the optical image capturing system; HOS is a distance in parallel with the optical axis between an object-side surface, which face the object side, of the first lens and the image plane; ETL is a distance in parallel with the optical axis between a coordinate point at a height of ½ HEP on the object-side surface of the first lens and the image plane; EIN is a distance in parallel with the optical axis between the coordinate point at the height of ½ HEP on the object-side surface of the first lens and a coordinate point at a height of ½ HEP on the image-side surface of the fifth lens. 
     For any lens, the thickness at the height of a half of the entrance pupil diameter (HEP) particularly affects the ability of correcting aberration and differences between optical paths of light in different fields of view of the common region of each field of view of light within the covered range at the height of a half of the entrance pupil diameter (HEP). With greater thickness, the ability to correct aberration is better. However, the difficulty of manufacturing increases as well. Therefore, the thickness at the height of a half of the entrance pupil diameter (HEP) of any lens has to be controlled. The ratio between the thickness (ETP) at the height of a half of the entrance pupil diameter (HEP) and the thickness (TP) of any lens on the optical axis (i.e., ETP/TP) has to be particularly controlled. For example, the thickness at the height of a half of the entrance pupil diameter (HEP) of the first lens is denoted by ETP1. the thickness at the height of a half of the entrance pupil diameter (HEP) of the second lens is denoted by ETP2. and the thickness at the height of a half of the entrance pupil diameter (HEP) of any other lens in the optical image capturing system is denoted in the same manner. The optical image capturing system of the present invention satisfies:
 
0.3≦SETP/EIN&lt;1;
 
     where SETP is the sum of the aforementioned ETP1 to ETP5. 
     In order to enhance the ability of correcting aberration and to lower the difficulty of manufacturing at the same time, the ratio between the thickness (ETP) at the height of a half of the entrance pupil diameter (HEP) and the thickness (TP) of any lens on the optical axis (i.e., ETP/TP) has to be particularly controlled. For example, the thickness at the height of a half of the entrance pupil diameter (HEP) of the first lens is denoted by ETP1, the thickness of the first lens on the optical axis is TP1. and the ratio between these two parameters is ETP1/TP1; the thickness at the height of a half of the entrance pupil diameter (HEP) of the first lens is denoted by ETP2. the thickness of the second lens on the optical axis is TP2. and the ratio between these two parameters is ETP2/TP2. The ratio between the thickness at the height of a half of the entrance pupil diameter (HEP) and the thickness of any other lens in the optical image capturing system is denoted in the same manner. The optical image capturing system of the present invention satisfies:
 
0.2 ≦ETP/TP≦ 3.
 
     The horizontal distance between two neighboring lenses at the height of a half of the entrance pupil diameter (HEP) is denoted by ED, wherein the aforementioned horizontal distance (ED) is parallel to the optical axis of the optical image capturing system, and particularly affects the ability of correcting aberration and differences between optical paths of light in different fields of view of the common region of each field of view of light at the height of a half of the entrance pupil diameter (HEP). With longer distance, the ability to correct aberration is potential to be better. However, the difficulty of manufacturing increases, and the feasibility of “slightly shorten” the length of the optical image capturing system is limited as well. Therefore, the horizontal distance (ED) between two specific neighboring lenses at the height of a half of the entrance pupil diameter (HEP) has to be controlled. 
     In order to enhance the ability of correcting aberration and to lower the difficulty of “slightly shorten” the length of the optical image capturing system at the same time, the ratio between the horizontal distance (ED) between two neighboring lenses at the height of a half of the entrance pupil diameter (HEP) and the parallel distance (IN) between these two neighboring lens on the optical axis (i.e., ED/IN) has to be particularly controlled. For example, the horizontal distance between the first lens and the second lens at the height of a half of the entrance pupil diameter (HEP) is denoted by ED12. the horizontal distance between the first lens and the second lens on the optical axis is denoted by IN12, and the ratio between these two parameters is ED12/IN12; the horizontal distance between the second lens and the third lens at the height of a half of the entrance pupil diameter (HEP) is denoted by ED23. the horizontal distance between the second lens and the third lens on the optical axis is denoted by IN23. and the ratio between these two parameters is ED23/IN23. The ratio between the horizontal distance between any two neighboring lenses at the height of a half of the entrance pupil diameter (HEP) and the horizontal distance between these two neighboring lenses on the optical axis is denoted in the same manner. 
     The horizontal distance in parallel with the optical axis between a coordinate point at the height of ½ HEP on the image-side surface of the fifth lens and image surface is denoted by EBL. The horizontal distance in parallel with the optical axis between the point on the image-side surface of the fifth lens where the optical axis passes through and the image plane is denoted by BL. To enhance the ability to correct aberration and to preserve more space for other optical components, the optical image capturing system of the present invention can satisfy 0.2≦EBL/BL≦1. The optical image capturing system can further include a filtering component, which is provided between the fifth lens and the image plane, wherein the horizontal distance in parallel with the optical axis between the coordinate point at the height of ½ HEP on the image-side surface of the fifth lens and the filtering component is denoted by EIR, and the horizontal distance in parallel with the optical axis between the point on the image-side surface of the fifth lens where the optical axis passes through and the filtering component is denoted by PIR. The optical image capturing system of the present invention can satisfy 0.1≦EIR/PIR≦1. 
     In an embodiment, a height of the optical image capturing system (HOS) can be reduced while |f1|&gt;f5. 
     In an embodiment, when the lenses satisfy f2|+|f3|+|f4| and |f1|+|f5|. at least one lens among the second to the fourth lenses could have weak positive refractive power or weak negative refractive power. Herein the weak refractive power means the absolute value of the focal length of one specific lens is greater than 10. When at least one lens among the second to the fourth 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 fourth lenses has weak negative refractive power, it may fine tune and correct the aberration of the system. 
     In an embodiment, the fifth lens could have negative refractive power, and an image-side surface thereof is concave, it may reduce back focal length and size. Besides, the fifth lens can have at least an inflection point on at least a surface thereof, which may reduce an incident angle of the light of an off-axis field of view and correct the aberration of the off-axis field of view. 
    
    
     
       BRIEF DESCRIPTION OF THE SEVERAL VIEWS OF THE DRAWINGS 
       The present invention will be best understood by referring to the following detailed description of some illustrative embodiments in conjunction with the accompanying drawings, in which 
         FIG. 1A  is a schematic diagram of a first embodiment of the present invention; 
         FIG. 1B  shows curve diagrams of longitudinal spherical aberration, astigmatic field, and optical distortion of the optical image capturing system in the order from left to right of the first embodiment of the present application; 
         FIG. 1C  shows a feature map of modulation transformation of the optical image capturing system of the first embodiment of the present application in visible spectrum; 
         FIG. 1D  shows a feature map of modulation transformation of the optical image capturing system of the first embodiment of the present application in infrared spectrum; 
         FIG. 2A  is a schematic diagram of a second embodiment of the present invention; 
         FIG. 2B  shows curve diagrams of longitudinal spherical aberration, astigmatic field, and optical distortion of the optical image capturing system in the order from left to right of the second embodiment of the present application; 
         FIG. 2C  shows a feature map of modulation transformation of the optical image capturing system of the second embodiment of the present application in visible spectrum; 
         FIG. 2D  shows a feature map of modulation transformation of the optical image capturing system of the second embodiment of the present application in infrared spectrum; 
         FIG. 3A  is a schematic diagram of a third embodiment of the present invention; 
         FIG. 3B  shows curve diagrams of longitudinal spherical aberration, astigmatic field, and optical distortion of the optical image capturing system in the order from left to right of the third embodiment of the present application; 
         FIG. 3C  shows a feature map of modulation transformation of the optical image capturing system of the third embodiment of the present application in visible spectrum; 
         FIG. 3D  shows a feature map of modulation transformation of the optical image capturing system of the third embodiment of the present application in infrared spectrum; 
         FIG. 4A  is a schematic diagram of a fourth embodiment of the present invention; 
         FIG. 4B  shows curve diagrams of longitudinal spherical aberration, astigmatic field, and optical distortion of the optical image capturing system in the order from left to right of the fourth embodiment of the present application; 
         FIG. 4C  shows a feature map of modulation transformation of the optical image capturing system of the fourth embodiment in visible spectrum; 
         FIG. 4D  shows a feature map of modulation transformation of the optical image capturing system of the fourth embodiment in infrared spectrum; 
         FIG. 5A  is a schematic diagram of a fifth embodiment of the present invention; 
         FIG. 5B  shows curve diagrams of longitudinal spherical aberration, astigmatic field, and optical distortion of the optical image capturing system in the order from left to right of the fifth embodiment of the present application; 
         FIG. 5C  shows a feature map of modulation transformation of the optical image capturing system of the fifth embodiment of the present application in visible spectrum; 
         FIG. 5D  shows a feature map of modulation transformation of the optical image capturing system of the fifth embodiment of the present application in infrared spectrum; 
         FIG. 6A  is a schematic diagram of a sixth embodiment of the present invention; 
         FIG. 6B  shows curve diagrams of longitudinal spherical aberration, astigmatic field, and optical distortion of the optical image capturing system in the order from left to right of the sixth embodiment of the present application; 
         FIG. 6C  shows a feature map of modulation transformation of the optical image capturing system of the sixth embodiment of the present application in visible spectrum; and 
         FIG. 6D  shows a feature map of modulation transformation of the optical image capturing system of the sixth embodiment of the present application in infrared spectrum. 
     
    
    
     DETAILED DESCRIPTION OF THE INVENTION 
     An optical image capturing system of the present invention includes a first lens, a second lens, a third lens, a fourth lens, a fifth lens, and an image plane from an object side to an image side. The optical image capturing system further is provided with an image sensor at an image plane. 
     The optical image capturing system can work in three wavelengths, including 486.1 nm, 587.5 nm, and 656.2 nm, wherein 587.5 nm is the main reference wavelength and is the reference wavelength for obtaining the technical characters. The optical image capturing system can also work in five wavelengths, including 470 nm, 510 nm, 555 nm, 610 nm, and 650 nm wherein 555 nm is the main reference wavelength, and is the reference wavelength for obtaining the technical characters. 
     The optical image capturing system of the present invention satisfies 0.5≦ΣPPR/|ΣNPR|≦3.0. and a preferable range is 1≦ΣPPR/|ΣNPR|≦2.5. where PPR is a ratio of the focal length f of the optical image capturing system to a focal length fp of each of lenses with positive refractive power; NPR is a ratio of the focal length f of the optical image capturing system to a focal length fn of each of lenses with negative refractive power; ΣPPR is a sum of the PPRs of each positive lens; and ΣNPR is a sum of the NPRs of each negative lens. It is helpful for control of an entire refractive power and an entire length of the optical image capturing system. 
     The image sensor is provided on the image plane. The optical image capturing system of the present invention satisfies HOS/HOI≦25 and 0.5≦HOS/f≦25. and a preferable range is 1≦HOS/HOI≦20 and 1≦HOS/f≦20. where HOI is a half of a diagonal of an effective sensing area of the image sensor, i.e., the maximum image height, and HOS is a height of the optical image capturing system, i.e. a distance on the optical axis between the object-side surface of the first lens and the image plane. It is helpful for reduction of the size of the system for used in compact cameras. 
     The optical image capturing system of the present invention further is provided with an aperture to increase image quality. 
     In the optical image capturing system of the present invention, the aperture could be a front aperture or a middle aperture, wherein the front aperture is provided between the object and the first lens, and the middle is provided between the first lens and the image plane. The front aperture provides a long distance between an exit pupil of the system and the image plane, which allows more elements to be installed. The middle could enlarge a view angle of view of the system and increase the efficiency of the image sensor. The optical image capturing system satisfies 0.2≦InS/HOS≦1.1. where InS is a distance between the aperture and the image plane. It is helpful for size reduction and wide angle. 
     The optical image capturing system of the present invention satisfies 0.1≦ΣP/InTL≦0.9. where InTL is a distance between the object-side surface of the first lens and the image-side surface of the fifth lens, and ΣTP is a sum of central thicknesses of the lenses on the optical axis. It is helpful for the contrast of image and yield rate of manufacture and provides a suitable back focal length for installation of other elements. 
     The optical image capturing system of the present invention satisfies 0.01&lt;|R1/R2|&lt;100. and a preferable range is 0.05&lt;|R1/R2|&lt;80. where R1 is a radius of curvature of the object-side surface of the first lens, and R2 is a radius of curvature of the image-side surface of the first lens. It provides the first lens with a suitable positive refractive power to reduce the increase rate of the spherical aberration. 
     The optical image capturing system of the present invention satisfies −50&lt;(R9−R10)/(R9+R10)&lt;50. where R9 is a radius of curvature of the object-side surface of the fifth lens, and R10 is a radius of curvature of the image-side surface of the fifth lens. It may modify the astigmatic field curvature. 
     The optical image capturing system of the present invention satisfies IN12/f≦5.0. where IN12 is a distance on the optical axis between the first lens and the second lens. It may correct chromatic aberration and improve the performance. 
     The optical image capturing system of the present invention satisfies IN45/f≦5.0. where IN45 is a distance on the optical axis between the fourth lens and the fifth lens. It may correct chromatic aberration and improve the performance. 
     The optical image capturing system of the present invention satisfies 0.1≦(TP1+IN12)/TP2≦50.0. where TP1 is a central thickness of the first lens on the optical axis, and TP2 is a central thickness of the second lens on the optical axis. It may control the sensitivity of manufacture of the system and improve the performance. 
     The optical image capturing system of the present invention satisfies 0.1≦(TP5+IN45)/TP4≦50.0. where TP4 is a central thickness of the fourth lens on the optical axis, TP5 is a central thickness of the fifth lens on the optical axis, and IN45 is a distance between the fourth lens and the fifth lens. It may control the sensitivity of manufacture of the system and improve the performance. 
     The optical image capturing system of the present invention satisfies 0.1≦TP3/(IN23+TP3+IN34)&lt;1. where TP2 is a central thickness of the second lens on the optical axis, TP3 is a central thickness of the third lens on the optical axis, TP4 is a central thickness of the fourth lens on the optical axis, IN23 is a distance on the optical axis between the second lens and the third lens, IN34 is a distance on the optical axis between the third lens and the fourth lens, and InTL is a distance between the object-side surface of the first lens and the image-side surface of the fifth lens. It may fine tune and correct the aberration of the incident rays layer by layer, and reduce the height of the system. 
     The optical image capturing system satisfies 0 mm≦HVT51≦3 mm; 0 mm&lt;HVT52≦6 mm; 0≦HVT51/HVT52; 0 mm≦|SGC51|≦0.5 mm; 0 mm&lt;|SGC52|≦2 mm; and 0&lt;|SGC52|/(|SGC52|+TP5)≦0.9. where HVT51 a distance perpendicular to the optical axis between the critical point C51 on the object-side surface of the fifth lens and the optical axis; HVT52 a distance perpendicular to the optical axis between the critical point C52 on the image-side surface of the fifth lens and the optical axis; SGC51 is a distance in parallel with the optical axis between an point on the object-side surface of the fifth lens where the optical axis passes through and the critical point C51; SGC52 is a distance in parallel with the optical axis between an point on the image-side surface of the fifth lens where the optical axis passes through and the critical point C52. It is helpful to correct the off-axis view field aberration. 
     The optical image capturing system satisfies 0.2≦HVT52/HOI≦0.9. and preferably satisfies 0.3≦HVT52/HOI≦0.8. It may help to correct the peripheral aberration. 
     The optical image capturing system satisfies 0≦HVT52/HOS≦0.5. and preferably satisfies 0.2≦HVT52/HOS≦0.45. It may help to correct the peripheral aberration. 
     The optical image capturing system of the present invention satisfies 0&lt;SGI511/(SGI511+TP5)≦0.9; 0&lt;SGI521/(SGI521+TP5)≦0.9. and it is preferable to satisfy 0.1≦SGI511/(SGI511+TP5)≦0.6; 0.1≦SGI521/(SGI521+TP5)≦0.6. where SGI511 is a displacement in parallel with the optical axis, from a point on the object-side surface of the fifth lens, through which the optical axis passes, to the inflection point on the object-side surface, which is the closest to the optical axis, and SGI521 is a displacement in parallel with the optical axis, from a point on the image-side surface of the fifth lens, through which the optical axis passes, to the inflection point on the image-side surface, which is the closest to the optical axis. 
     The optical image capturing system of the present invention satisfies 0&lt;SGI512/(SGI512+TP5)≦0.9; 0&lt;SGI522/(SGI522+TP5)≦0.9. and it is preferable to satisfy 0.1≦SGI512/(SGI512+TP5)≦0.6; 0.1≦SGI522/(SGI522+TP5)≦0.6. where SGI512 is a displacement in parallel with the optical axis, from a point on the object-side surface of the fifth lens, through which the optical axis passes, to the inflection point on the object-side surface, which is the second closest to the optical axis, and SGI522 is a displacement in parallel with the optical axis, from a point on the image-side surface of the fifth lens, through which the optical axis passes, to the inflection point on the image-side surface, which is the second closest to the optical axis. 
     The optical image capturing system of the present invention satisfies 0.001 mm≦|HIF511|≦5 mm; 0.001 mm≦|HIF521|≦5 mm, and it is preferable to satisfy 0.1 mm≦|HIF511|≦3.5 mm; 1.5 mm≦|HIF521|≦3.5 mm, where HIF511 is a distance perpendicular to the optical axis between the inflection point on the object-side surface of the fifth lens, which is the closest to the optical axis, and the optical axis; HIF521 is a distance perpendicular to the optical axis between the inflection point on the image-side surface of the fifth lens, which is the closest to the optical axis, and the optical axis. 
     The optical image capturing system of the present invention satisfies 0.001 mm≦|HIF512|≦5 mm; 0.001 mm≦|HIF522|≦5 mm, and it is preferable to satisfy 0.1 mm≦|HIF522|≦3.5 mm; 0.1 mm≦|HIF512|≦3.5 mm, where HIF512 is a distance perpendicular to the optical axis between the inflection point on the object-side surface of the fifth lens, which is the second closest to the optical axis, and the optical axis; HIF522 is a distance perpendicular to the optical axis between the inflection point on the image-side surface of the fifth lens, which is the second closest to the optical axis, and the optical axis. 
     The optical image capturing system of the present invention satisfies 0.001 mm≦|HIF513|≦5 mm; 0.001 mm≦|HIF523|≦5 mm, and it is preferable to satisfy 0.1 mm≦|HIF523|≦3.5 mm; 0.1 mm≦|HIF513|≦3.5 mm, where HIF513 is a distance perpendicular to the optical axis between the inflection point on the object-side surface of the fifth lens, which is the third closest to the optical axis, and the optical axis; HIF523 is a distance perpendicular to the optical axis between the inflection point on the image-side surface of the fifth lens, which is the third closest to the optical axis, and the optical axis. 
     The optical image capturing system of the present invention satisfies 0.001 mm≦|HIF514|≦5 mm; 0.001 mm≦|HIF524|≦5 mm, and it is preferable to satisfy 0.1 mm≦|HIF524|≦3.5 mm; 0.1 mm≦|HIF514|≦3.5 mm, where HIF514 is a distance perpendicular to the optical axis between the inflection point on the object-side surface of the fifth lens, which is the fourth closest to the optical axis, and the optical axis; HIF524 is a distance perpendicular to the optical axis between the inflection point on the image-side surface of the fifth lens, which is the fourth closest to the optical axis, and the optical axis. 
     In an embodiment, the lenses of high Abbe number and the lenses of low Abbe number are arranged in an interlaced arrangement that could be helpful for correction of aberration of the system. 
     An equation of aspheric surface is
 
 z=ch   2 /[1+[1( k +1) c   2 h 2 ] 0.5 ]+A4h 4 +A6h 6 +A8h 8 +A10h 10 +A12h 12 +A14h 14 +A16h 16 +A18h 18 +A20h 20 + . . .   (1)
 
     where z is a depression of the aspheric surface; k is conic constant; c is reciprocal of the radius of curvature; and A4. A6. A8. A10. A12. A14. A16. A18. and A20 are high-order aspheric coefficients. 
     In the optical image capturing system, the lenses could be made of plastic or glass. The plastic lenses may reduce the weight and lower the cost of the system, and the glass lenses may control the thermal effect and enlarge the space for arrangement of the refractive power of the system. In addition, the opposite surfaces (object-side surface and image-side surface) of the first to the fifth lenses could be aspheric that can obtain more control parameters to reduce aberration. The number of aspheric glass lenses could be less than the conventional spherical glass lenses, which is helpful for reduction of the height of the system. 
     When the lens has a convex surface, which means that the surface is convex around a position, through which the optical axis passes, and when the lens has a concave surface, which means that the surface is concave around a position, through which the optical axis passes. 
     The optical image capturing system of the present invention could be applied in a dynamic focusing optical system. It is superior in the correction of aberration and high imaging quality so that it could be allied in lots of fields. 
     The optical image capturing system of the present invention could further include a driving module to meet different demands, wherein the driving module can be coupled with the lenses to move the lenses. The driving module can be a voice coil motor (VCM), which is used to move the lens for focusing, or can be an optical image stabilization (OIS) component, which is used to lower the possibility of having the problem of image blurring which is caused by subtle movements of the lens while shooting. 
     To meet different requirements, at least one lens among the first lens to the fifth lens of the optical image capturing system of the present invention can be a light filter, which filters out light of wavelength shorter than 500 nm. Such effect can be achieved by coating on at least one surface of the lens, or by using materials capable of filtering out short waves to make the lens. 
     We provide several embodiments in conjunction with the accompanying drawings for the best understanding, which are: 
     [First Embodiment] 
     As shown in  FIG. 1A  and  FIG. 1B , an optical image capturing system  10  of the first embodiment of the present invention includes, along an optical axis from an object side to an image side, a first lens  110 , an aperture  100 , a second lens  120 , a third lens  130 , a fourth lens  140 , a fifth lens  150 , an infrared rays filter  180 , an image plane  190 , and an image sensor  192 .  FIG. 1C  shows a modulation transformation of the optical image capturing system  10  of the first embodiment of the present application in visible spectrum, and  FIG. 1D  shows a modulation transformation of the optical image capturing system  10  of the first embodiment of the present application in infrared spectrum. 
     The first lens  110  has negative refractive power and is made of plastic. An object-side surface  112  thereof, which faces the object side, is a convex aspheric surface, and an image-side surface  114  thereof, which faces the image side, is a concave aspheric surface. The object-side surface  112  has an inflection point thereon. A thickness of the first lens  110  on the optical axis is TP1. and a thickness of the first lens  110  at the height of a half of the entrance pupil diameter (HEP) is denoted by ETP1. 
     The first lens satisfies SGI111=1.96546 mm; |SGI111|/(|SGI111|+TP1)=0.72369. where SGI111 is a displacement in parallel with the optical axis from a point on the object-side surface of the first lens, through which the optical axis passes, to the inflection point on the object-side surface, which is the closest to the optical axis, and SGI121 is a displacement in parallel with the optical axis from a point on the image-side surface of the first lens, through which the optical axis passes, to the inflection point on the image-side surface, which is the closest to the optical axis. 
     The first lens satisfies HIF111=3.38542 mm; HIF111/HOI=0.90519. where HIF111 is a displacement perpendicular to the optical axis from a point on the object-side surface of the first lens, through which the optical axis passes, to the inflection point, which is the closest to the optical axis; HIF121 is a displacement perpendicular to the optical axis from a point on the image-side surface of the first lens, through which the optical axis passes, to the inflection point, which is the closest to the optical axis. 
     The second lens  120  has positive refractive power and is made of plastic. An object-side surface  122  thereof, which faces the object side, is a convex aspheric surface, and an image-side surface  124  thereof, which faces the image side, is a concave aspheric surface. A thickness of the second lens  120  on the optical axis is TP2. and thickness of the second lens  120  at the height of a half of the entrance pupil diameter (HEP) is denoted by ETP2. 
     For the second lens, a displacement in parallel with the optical axis from a point on the object-side surface of the second lens, through which the optical axis passes, to the inflection point on the image-side surface, which is the closest to the optical axis is denoted by SGI211. and a displacement in parallel with the optical axis from a point on the image-side surface of the second lens, through which the optical axis passes, to the inflection point on the image-side surface, which is the closest to the optical axis is denoted by SGI221. 
     For the second lens, a displacement perpendicular to the optical axis from a point on the object-side surface of the second lens, through which the optical axis passes, to the inflection point, which is the closest to the optical axis is denoted by HIF211. and a displacement perpendicular to the optical axis from a point on the image-side surface of the second lens, through which the optical axis passes, to the inflection point, which is the closest to the optical axis is denoted by HIF221. 
     The third lens  130  has positive refractive power and is made of plastic. An object-side surface  132 , which faces the object side, is a convex aspheric surface, and an image-side surface  134 , which faces the image side, is a convex aspheric surface. The object-side surface  132  has an inflection point. A thickness of the third lens  130  on the optical axis is TP3. and a thickness of the third lens  130  at the height of a half of the entrance pupil diameter (HEP) is denoted by ETP3. 
     The third lens  130  satisfies SGI311=0.00388 mm; |SGI311|/(|SGI311|+TP3)=0.00414. where SGI311 is a displacement in parallel with the optical axis, from a point on the object-side surface of the third lens, through which the optical axis passes, to the inflection point on the object-side surface, which is the closest to the optical axis, and SGI321 is a displacement in parallel with the optical axis, from a point on the image-side surface of the third lens, through which the optical axis passes, to the inflection point on the image-side surface, which is the closest to the optical axis. 
     For the third lens  130 , SGI312 is a displacement in parallel with the optical axis, from a point on the object-side surface of the third lens, through which the optical axis passes, to the inflection point on the object-side surface, which is the second closest to the optical axis, and SGI322 is a displacement in parallel with the optical axis, from a point on the image-side surface of the third lens, through which the optical axis passes, to the inflection point on the object-side surface, which is the second closest to the optical axis. 
     The third lens  130  further satisfies HIF311=0.38898 mm; HIF311/HOI=0.10400. where HIF311 is a distance perpendicular to the optical axis between the inflection point on the object-side surface of the third lens, which is the closest to the optical axis, and the optical axis; HIF321 is a distance perpendicular to the optical axis between the inflection point on the image-side surface of the third lens, which is the closest to the optical axis, and the optical axis. 
     For the third lens  130 , HIF312 is a distance perpendicular to the optical axis between the inflection point on the object-side surface of the third lens, which is the second closest to the optical axis, and the optical axis; HIF322 is a distance perpendicular to the optical axis between the inflection point on the image-side surface of the third lens, which is the second closest to the optical axis, and the optical axis. 
     The fourth lens  140  has positive refractive power and is made of plastic. An object-side surface  142 , which faces the object side, is a convex aspheric surface, and an image-side surface  144 , which faces the image side, is a convex aspheric surface. The object-side surface  142  has an inflection point. A thickness of the fourth lens  140  on the optical axis is TP4. and a thickness of the fourth lens  140  at the height of a half of the entrance pupil diameter (HEP) is denoted by ETP4. 
     The fourth lens  140  satisfies SGI421=0.06508 mm; |SGI421|/(|SGI421|+TP4)=0.03459. where SGI411 is a displacement in parallel with the optical axis, from a point on the object-side surface of the fourth lens, through which the optical axis passes, to the inflection point on the object-side surface, which is the closest to the optical axis, and SGI421 is a displacement in parallel with the optical axis, from a point on the image-side surface of the fourth lens, through which the optical axis passes, to the inflection point on the image-side surface, which is the closest to the optical axis. 
     For the fourth lens  140 , SGI412 is a displacement in parallel with the optical axis, from a point on the object-side surface of the fourth lens, through which the optical axis passes, to the inflection point on the object-side surface, which is the second closest to the optical axis, and SGI422 is a displacement in parallel with the optical axis, from a point on the image-side surface of the fourth lens, through which the optical axis passes, to the inflection point on the object-side surface, which is the second closest to the optical axis. 
     The fourth lens  140  further satisfies HIF421=0.85606 mm; HIF421/HOI=0.22889. where HIF411 is a distance perpendicular to the optical axis between the inflection point on the object-side surface of the fourth lens, which is the closest to the optical axis, and the optical axis; HIF421 is a distance perpendicular to the optical axis between the inflection point on the image-side surface of the fourth lens, which is the closest to the optical axis, and the optical axis. 
     For the fourth lens  140 , HIF412 is a distance perpendicular to the optical axis between the inflection point on the object-side surface of the fourth lens, which is the second closest to the optical axis, and the optical axis; HIF422 is a distance perpendicular to the optical axis between the inflection point on the image-side surface of the fourth lens, which is the second closest to the optical axis, and the optical axis. 
     The fifth lens  150  has negative refractive power and is made of plastic. An object-side surface  152 , which faces the object side, is a concave aspheric surface, and an image-side surface  154 , which faces the image side, is a concave aspheric surface. The object-side surface  152  and the image-side surface  154  both have an inflection point. A thickness of the fifth lens  150  on the optical axis is TP5. and a thickness of the fifth lens  150  at the height of a half of the entrance pupil diameter (HEP) is denoted by ETP5. 
     The fifth lens  150  satisfies SGI511=−1.51505 mm; |SGI511|/(|SGI511|+TP5)=0.70144; SGI521=0.01229 mm; |SGI521|/(|SGI521|+TP5)=0.01870. where SGI511 is a displacement in parallel with the optical axis, from a point on the object-side surface of the fifth lens, through which the optical axis passes, to the inflection point on the object-side surface, which is the closest to the optical axis, and SGI521 is a displacement in parallel with the optical axis, from a point on the image-side surface of the fifth lens, through which the optical axis passes, to the inflection point on the image-side surface, which is the closest to the optical axis. 
     For the fifth lens  150 , SGI512 is a displacement in parallel with the optical axis, from a point on the object-side surface of the fifth lens, through which the optical axis passes, to the inflection point on the object-side surface, which is the second closest to the optical axis, and SGI522 is a displacement in parallel with the optical axis, from a point on the image-side surface of the fifth lens, through which the optical axis passes, to the inflection point on the object-side surface, which is the second closest to the optical axis. 
     The fifth lens  150  further satisfies HIF511=2.25435 mm; HIF511/HOI=0.60277; HIF521=0.82313 mm; HIF521/HOI=0.22009. where HIF511 is a distance perpendicular to the optical axis between the inflection point on the object-side surface of the fifth lens, which is the closest to the optical axis, and the optical axis; HIF521 is a distance perpendicular to the optical axis between the inflection point on the image-side surface of the fifth lens, which is the closest to the optical axis, and the optical axis. 
     For the fifth lens  150 , HIF512 is a distance perpendicular to the optical axis between the inflection point on the object-side surface of the fifth lens, which is the second closest to the optical axis, and the optical axis; HIF522 is a distance perpendicular to the optical axis between the inflection point on the image-side surface of the fifth lens, which is the second closest to the optical axis, and the optical axis. 
     A distance in parallel with the optical axis between a coordinate point at a height of ½ HEP on the object-side surface of the first lens  110  and the image plane is ETL, and a distance in parallel with the optical axis between the coordinate point at the height of ½ HEP on the object-side surface of the first lens  110  and a coordinate point at a height of ½ HEP on the image-side surface of the fourth lens  140  is EIN, which satisfy: ETL=10.449 mm; EIN=9.752 mm; EIN/ETL=0.933. 
     The optical image capturing system of the first embodiment satisfies: ETP1=0.870 mm; ETP2=0.780 mm; ETP3=0.825 mm; ETP4=1.562 mm; ETP5=0.923 mm. The sum of the aforementioned ETP1 to ETP5 is SETP, wherein SETP=4.960 mm. In addition, TP1=0.750 mm; TP2=0.895 mm; TP3=0.932 mm; TP4=1.816 mm; TP5=0.645 mm. The sum of the aforementioned TP1 to TP5 is STP, wherein STP=5.039 mm; SETP/STP=0.984. 
     In order to enhance the ability of correcting aberration and to lower the difficulty of manufacturing at the same time, the ratio between the thickness (ETP) at the height of a half of the entrance pupil diameter (HEP) and the thickness (TP) of any lens on the optical axis (i.e., ETP/TP) in the optical image capturing system of the first embodiment is particularly controlled, which satisfies: ETP1/TP1=1.160; ETP2/TP2=0.871; ETP3/TP3=0.885; ETP4/TP4=0.860; ETP5/TP5=1.431. 
     In order to enhance the ability of correcting aberration, lower the difficulty of manufacturing, and “slightly shortening” the length of the optical image capturing system at the same time, the ratio between the horizontal distance (ED) between two neighboring lenses at the height of a half of the entrance pupil diameter (HEP) and the parallel distance (IN) between these two neighboring lens on the optical axis (i.e., ED/IN) in the optical image capturing system of the first embodiment is particularly controlled, which satisfies: the horizontal distance between the first lens  110  and the second lens  120  at the height of a half of the entrance pupil diameter (HEP) is denoted by ED12. wherein ED12=3.152 mm; the horizontal distance between the second lens  120  and the third lens  130  at the height of a half of the entrance pupil diameter (HEP) is denoted by ED23. wherein ED23=0.478 mm; the horizontal distance between the third lens  130  and the fourth lens  140  at the height of a half of the entrance pupil diameter (HEP) is denoted by ED34. wherein ED34=0.843 mm; the horizontal distance between the fourth lens  140  and the fifth lens  150  at the height of a half of the entrance pupil diameter (HEP) is denoted by ED45. wherein ED45=0.320 mm. The sum of the aforementioned ED12 to ED45 is SED, wherein SED=4.792 mm. 
     The horizontal distance between the first lens  110  and the second lens  120  on the optical axis is denoted by IN12. wherein IN12=3.190 mm, and ED12/IN12=0.988. The horizontal distance between the second lens  120  and the third lens  130  on the optical axis is denoted by IN23. wherein IN23=0.561 mm, and ED23/IN23=0.851. The horizontal distance between the third lens  130  and the fourth lens  140  on the optical axis is denoted by IN34. wherein IN34=0.656 mm, and ED34/IN34=1.284. The horizontal distance between the fourth lens  140  and the fifth lens  150  on the optical axis is denoted by IN45. wherein IN45=0.405 mm, and ED45/IN45=0.792. The sum of the aforementioned IN12 to IN45 is denoted by SIN, wherein SIN=0.999. and SED/SIN=1.083. 
     The optical image capturing system of the first embodiment satisfies::ED12/ED23=6.599; ED23/ED34=0.567; ED34/ED45=2.630; IN12 /1N23=5.687;ΣN23/IN34=0.855; IN34/ΣN45=1.622. 
     The horizontal distance in parallel with the optical axis between a coordinate point at the height of ½ HEP on the image-side surface of the fifth lens  150  and image surface is denoted by EBL, wherein EBL=0.697 mm. The horizontal distance in parallel with the optical axis between the point on the image-side surface of the fifth lens  150  where the optical axis passes through and the image plane is denoted by BL, wherein BL=0.71184 mm. The optical image capturing system of the first embodiment satisfies: EBL/BL=0.979152. The horizontal distance in parallel with the optical axis between the coordinate point at the height of ½ HEP on the image-side surface of the fifth lens  150  and the infrared rays filter  180  is denoted by EIR, wherein EIR=0.085 mm. The horizontal distance in parallel with the optical axis between the point on the image-side surface of the fifth lens  150  where the optical axis passes through and the infrared rays filter  180  is denoted by PIR, wherein PIR=0.100 mm, and it satisfies: EIR/PIR=0.847. 
     The infrared rays filter  180  is made of glass and between the fifth lens  150  and the image plane  190 . The infrared rays filter  180  gives no contribution to the focal length of the system. 
     The optical image capturing system  10  of the first embodiment has the following parameters, which are f=3.03968 mm; f/HEP=1.6; and HAF=50.001 and tan(HAF)=1.1918. where f is a focal length of the system; HAF is a half of the maximum field angle; and HEP is an entrance pupil diameter. 
     The parameters of the lenses of the first embodiment are f1=−9.24529 mm; |f/f1=0.32878; f5=−2.32439; and |f1|&gt;f5. where f1 is a focal length of the first lens  110 ; and f5 is a focal length of the fifth lens  150 . 
     The first embodiment further satisfies |f2|+|f3|+|f4|=17.3009 mm; |f1|+|f5|=11.5697 mm and |f2|+|f3|+|f4|&gt;|f1|+|f5|, where f2 is a focal length of the second lens  120 , f3 is a focal length of the third lens  130 , f4 is a focal length of the fourth lens  140 , and f5 is a focal length of the fifth lens  150 . 
     The optical image capturing system  10  of the first embodiment further satisfies ΣPPR=f/f2+f/f3+f/f4=1.86768; ΣNPR=f/f1+f/f5=−1.63651; ΣPPR/|ΣNPR|=1.14125; |f/f2|=0.47958; |f/f3|=0.38289; |f/f4|=1.00521; |f/f5|=1.30773. where PPR is a ratio of a focal length f of the optical image capturing system to a focal length fp of each of the lenses with positive refractive power; and NPR is a ratio of a focal length f of the optical image capturing system to a focal length fn of each of lenses with negative refractive power. 
     The optical image capturing system  10  of the first embodiment further satisfies InTL+BFL=HOS; HOS=10.56320 mm; HOI=3.7400 mm; HOS/HOI=2.8244; HOS/f=3.4751; InS=6.21073 mm; and InS/HOS=0.5880. where InTL is a distance between the object-side surface  112  of the first lens  110  and the image-side surface  154  of the fifth lens  150 ; HOS is a height of the image capturing system, i.e. a distance between the object-side surface  112  of the first lens  110  and the image plane  190 ; InS is a distance between the aperture  100  and the image plane  190 ; HOI is a half of a diagonal of an effective sensing area of the image sensor  192 , i.e., the maximum image height; and BFL is a distance between the image-side surface  154  of the fifth lens  150  and the image plane  190 . 
     The optical image capturing system  10  of the first embodiment further satisfies ΣTP=5.0393 mm; InTL=9.8514 mm and ΣTP/InTL=0.5115. where ΣTP is a sum of the thicknesses of the lenses  110 - 150  with refractive power. It is helpful for the contrast of image and yield rate of manufacture and provides a suitable back focal length for installation of other elements. 
     The optical image capturing system  10  of the first embodiment further satisfies |R1/R2|Σ=1.9672. where R1 is a radius of curvature of the object-side surface  112  of the first lens  110 , and R2 is a radius of curvature of the image-side surface  114  of the first lens  110 . It provides the first lens with a suitable positive refractive power to reduce the increase rate of the spherical aberration. 
     The optical image capturing system  10  of the first embodiment further satisfies (R9−R10)/(R9+R10)=−1.1505. where R9 is a radius of curvature of the object-side surface  152  of the fifth lens  150 , and R10 is a radius of curvature of the image-side surface  154  of the fifth lens  150 . It may modify the astigmatic field curvature. 
     The optical image capturing system  10  of the first embodiment further satisfies ΣPP=f2+f3+f4=17.30090 mm; and f2/(f2+f3+f4)=0.36635. where ΣPP is a sum of the focal lengths fp of each lens with positive refractive power. It is helpful to share the positive refractive power of the second lens  120  to other positive lenses to avoid the significant aberration caused by the incident rays. 
     The optical image capturing system  10  of the first embodiment further satisfies ΣNP=f1+f5=−11.56968 mm; and f5/(f1+f5)=0.20090. where ΣNP is a sum of the focal lengths fn of each lens with negative refractive power. It is helpful to share the negative refractive power of the fifth lens  150  to the other negative lens, which avoid the significant aberration caused by the incident rays. 
     The optical image capturing system  10  of the first embodiment further satisfies IN12=3.19016 mm and IN12/f=1.04951. where IN12 is a distance on the optical axis between the first lens  110  and the second lens  120 . It may correct chromatic aberration and improve the performance. 
     The optical image capturing system  10  of the first embodiment further satisfies IN45=0.40470 mm; IN45/f=0.13314. where IN45 is a distance on the optical axis between the fourth lens  140  and the fifth lens  150 . It may correct chromatic aberration and improve the performance. 
     The optical image capturing system  10  of the first embodiment further satisfies TP1=0.75043 mm; TP2=0.89543 mm; TP3=0.93225 mm; and (TP1+IN12)/TP2=4.40078. where TP1 is a central thickness of the first lens  110  on the optical axis, TP2 is a central thickness of the second lens  120  on the optical axis, and TP3 is a central thickness of the third lens  130  on the optical axis. It may control the sensitivity of manufacture of the system and improve the performance. 
     The optical image capturing system  10  of the first embodiment further satisfies TP4=1.81634 mm; TP5=0.64488 mm; and (TP5+IN45)/TP4=0.57785. where TP4 is a central thickness of the fourth lens  140  on the optical axis, TP5 is a central thickness of the fifth lens  150  on the optical axis, and IN45 is a distance on the optical axis between the fourth lens  140  and the fifth lens  150 . It may control the sensitivity of manufacture of the system and lower the total height of the system. 
     The optical image capturing system  10  of the first embodiment further satisfies TP2/TP3=0.96051; TP3/TP4=0.51325; TP4/TP5=2.81657; and TP3/(IN23+TP3+IN34)=0.43372. where IN34 is a distance on the optical axis between the third lens  130  and the fourth lens  140 . It may control the sensitivity of manufacture of the system and lower the total height of the system. 
     The optical image capturing system  10  of the first embodiment further satisfies InRS41=−0.09737 mm; InRS42=−1.31040 mm; |InRS41|/TP4=0.05361 and |InRS42|/TP4=0.72145. where InRS41 is a displacement in parallel with the optical axis from a point on the object-side surface  142  of the fourth lens, through which the optical axis passes, to a point at the maximum effective semi diameter of the object-side surface  142  of the fourth lens; InRS42 is a displacement in parallel with the optical axis from a point on the image-side surface  144  of the fourth lens, through which the optical axis passes, to a point at the maximum effective semi diameter of the image-side surface  144  of the fourth lens; and TP4 is a central thickness of the fourth lens  140  on the optical axis. It is helpful for manufacturing and shaping of the lenses and is helpful to reduce the size. 
     The optical image capturing system  10  of the first embodiment further satisfies HVT41=1.41740 mm; HVT42=0. where HVT41 a distance perpendicular to the optical axis between the critical point on the object-side surface  142  of the fourth lens and the optical axis; and HVT42 a distance perpendicular to the optical axis between the critical point on the image-side surface  144  of the fourth lens and the optical axis. 
     The optical image capturing system  10  of the first embodiment further satisfies InRS51=−1.63543 mm; InRS52=−0.34495 mm; |InRS51|/TP5=2.53604 and |InRS52|/TP5=0.53491. where InRS51 is a displacement in parallel with the optical axis from a point on the object-side surface  152  of the fifth lens, through which the optical axis passes, to a point at the maximum effective semi diameter of the object-side surface  152  of the fifth lens; InRS52 is a displacement in parallel with the optical axis from a point on the image-side surface  154  of the fifth lens, through which the optical axis passes, to a point at the maximum effective semi diameter of the image-side surface  154  of the fifth lens; and TP5 is a central thickness of the fifth lens  150  on the optical axis. It is helpful for manufacturing and shaping of the lenses and is helpful to reduce the size. 
     The optical image capturing system  10  of the first embodiment satisfies HVT51=0; HVT52=1.35891 mm; and HVT51/HVT52=0. where HVT51 a distance perpendicular to the optical axis between the critical point on the object-side surface  152  of the fifth lens and the optical axis; and HVT52 a distance perpendicular to the optical axis between the critical point on the image-side surface  154  of the fifth lens and the optical axis. 
     The optical image capturing system  10  of the first embodiment satisfies HVT52/HOI=0.36334. It is helpful for correction of the aberration of the peripheral view field of the optical image capturing system. 
     The optical image capturing system  10  of the first embodiment satisfies HVT52/HOS=0.12865. It is helpful for correction of the aberration of the peripheral view field of the optical image capturing system. 
     The third lens  130  and the fifth lens  150  have negative refractive power. The optical image capturing system  10  of the first embodiment further satisfies NA5/NA3=0.368966. where NA3 is an Abbe number of the third lens  130 ; and NA5 is an Abbe number of the fifth lens  150 . It may correct the aberration of the optical image capturing system. 
     The optical image capturing system  10  of the first embodiment further satisfies |TDT|=0.63350%; |ODT|=2.06135%, where TDT is TV distortion; and ODT is optical distortion. 
     For the optical image capturing system of the first embodiment, the values of MTF in a quarter of the spatial frequency (110 cycles/mm) at the optical axis, 0.3 field of view, and 0.7 field of view on an image plane are respectively denoted by MTFQ0, MTFQ3, and MTFQ7. wherein MTFQ0 is around 0.38. MTFQ3 is around 0.14. and MTFQ7 is around 0.13; the values of modulation transfer function (MTF) in half frequency (220 cycles/mm) at the optical axis, 0.3 field of view, and 0.7 field of view on an image plane are respectively denoted by MTFH0, MTFH3. and MTFH7. wherein MTFH0 is around 0.17. MTFH3 is around 0.07. and MTFH7 is around 0.14. 
     For the optical image capturing system of the first embodiment, when the infrared wavelength of 850 nm focuses on the image plane, the contrast transfer rates (i.e., the values of MTF) in spatial frequency of 55 cycles/mm at the optical axis, 0.3 field of view, and 0.7 field of view on an image plane are respectively denoted by MTFI0, MTFI3. and MTFI7. The values of MTF in spatial frequency (55 cycles/mm) at the optical axis, 0.3 HOI, and 0.7 HOI on an image plane are respectively denoted by MTFI0, MTFI3. and MTFI7, wherein MTFI0 is around 0.05. MTFI3 is around 0.12. and MTFI7 is around 0.11. 
     The parameters of the lenses of the first embodiment are listed in Table 1 and Table 2. 
     
       
         
           
               
             
               
                 TABLE 1 
               
             
            
               
                   
               
               
                 f = 3.03968 mm; f/HEP = 1.6; HAF = 50.0010 deg 
               
            
           
           
               
               
               
               
               
               
               
            
               
                   
                 Radius of curvature 
                 Thickness 
                   
                 Refractive 
                 Abbe 
                 Focal length 
               
               
                 Surface 
                 (mm) 
                 (mm) 
                 Material 
                 index 
                 number 
                 (mm) 
               
               
                   
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                 0 
                 Object 
                 plane 
                 infinity 
                   
                   
                   
                   
               
               
                 1 
                 1 st  lens 
                 4.01438621 
                 0.750 
                 plastic 
                 1.514 
                 56.80 
                 −9.24529 
               
               
                 2 
                   
                 2.040696375 
                 3.602 
               
               
                 3 
                 Aperture 
                 plane 
                 −0.412 
               
               
                 4 
                 2 nd  lens 
                 2.45222384 
                 0.895 
                 plastic 
                 1.565 
                 58.00 
                 6.33819 
               
               
                 5 
                   
                 6.705898264 
                 0.561 
               
               
                 6 
                 3 rd  lens 
                 16.39663088 
                 0.932 
                 plastic 
                 1.565 
                 58.00 
                 7.93877 
               
               
                 7 
                   
                 −6.073735083 
                 0.656 
               
               
                 8 
                 4 th  lens 
                 4.421363446 
                 1.816 
                 plastic 
                 1.565 
                 58.00 
                 3.02394 
               
               
                 9 
                   
                 −2.382933539 
                 0.405 
               
               
                 10 
                 5 th  lens 
                 −1.646639396 
                 0.645 
                 plastic 
                 1.650 
                 21.40 
                 −2.32439 
               
               
                 11 
                   
                 23.53222697 
                 0.100 
               
               
                 12 
                 Infrared 
                 plane 
                 0.200 
                 BK7_SCH 
                 1.517 
                 64.20 
               
               
                   
                 rays 
               
               
                   
                 filter 
               
               
                 13 
                   
                 plane 
                 0.412 
               
               
                 14 
                 Image 
                 plane 
               
               
                   
                 plane 
               
               
                   
               
               
                 Reference wavelength: 555 nm. 
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 2 
               
               
                   
               
               
                 Coefficients of the aspheric surfaces 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
            
               
                   
                 Surface 
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                   
                 1 
                 2 
                 4 
                 5 
                 6 
                 7 
                 8 
               
               
                   
               
               
                 k 
                 −1.882119E−01 
                 −1.927558E+00 
                 −6.483417E+00 
                 1.766123E+01 
                 −5.000000E+01 
                 −3.544648E+01 
                 −3.167522E+01 
               
               
                 A4 
                 7.686381E−04 
                 3.070422E−02 
                 5.439775E−02 
                 7.241691E−03 
                 −2.985209E−02 
                 −6.315366E−02 
                 −1.903506E−03 
               
               
                 A6 
                 4.630306E−04 
                 −3.565153E−03 
                 −7.980567E−03 
                 −8.359563E−03 
                 −7.175713E−03 
                 6.038040E−03 
                 −1.806837E−03 
               
               
                 A8 
                 3.178966E−05 
                 2.062259E−03 
                 −3.537039E−04 
                 1.303430E−02 
                 4.284107E−03 
                 4.674156E−03 
                 −1.670351E−03 
               
               
                 A10 
                 −1.773597E−05 
                 −1.571117E−04 
                 2.844845E−03 
                 −6.951350E−03 
                 −5.492349E−03 
                 −8.031117E−03 
                 4.791024E−04 
               
               
                 A12 
                 1.620619E−06 
                 −4.694004E−05 
                 −1.025049E−03 
                 1.366262E−03 
                 1.232072E−03 
                 3.319791E−03 
                 −5.594125E−05 
               
               
                 A14 
                 −4.916041E−08 
                 7.399980E−06 
                 1.913679E−04 
                 3.588298E−04 
                 −4.107269E−04 
                 −5.356799E−04 
                 3.704401E−07 
               
               
                 A16 
                 0.000000E+00 
                 0.000000E+00 
                 0.000000E+00 
                 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 
                 0.000000E+00 
                 0.000000E+00 
                 0.000000E+00 
               
               
                 A20 
                 0.000000E+00 
                 0.000000E+00 
                 0.000000E+00 
                 0.000000E+00 
                 0.000000E+00 
                 0.000000E+00 
                 0.000000E+00 
               
               
                   
               
            
           
           
               
               
            
               
                   
                 Surface 
               
            
           
           
               
               
               
               
               
            
               
                   
                   
                 8 
                 9 
                 10 
               
               
                   
                   
               
               
                   
                 k 
                 −2.470764E+00 
                 −1.570351E+00 
                 4.928899E+01 
               
               
                   
                 A4 
                 −2.346908E−04 
                 −4.250059E−04 
                 −4.625703E−03 
               
               
                   
                 A6 
                 2.481207E−03 
                 −1.591781E−04 
                 −7.108872E−04 
               
               
                   
                 A8 
                 −5.862277E−04 
                 −3.752177E−05 
                 3.429244E−05 
               
               
                   
                 A10 
                 −1.955029E−04 
                 −9.210114E−05 
                 2.887298E−06 
               
               
                   
                 A12 
                 1.880941E−05 
                 −1.101797E−05 
                 3.684628E−07 
               
               
                   
                 A14 
                 1.132586E−06 
                 3.536320E−06 
                 −4.741322E−08 
               
               
                   
                 A16 
                 0.000000E+00 
                 0.000000E+00 
                 0.000000E+00 
               
               
                   
                 A18 
                 0.000000E+00 
                 0.000000E+00 
                 0.000000E+00 
               
               
                   
                 A20 
                 0.000000E+00 
                 0.000000E+00 
                 0.000000E+00 
               
               
                   
                   
               
            
           
         
       
     
     The detail parameters of the first embodiment are listed in Table 1. in which the unit of the radius of curvature, thickness, and focal length are millimeter, and surface 0-10 indicates the surfaces of all elements in the system in sequence from the object side to the image side. Table 2 is the list of coefficients of the aspheric surfaces, in which A1-A20 indicate the coefficients of aspheric surfaces from the first order to the twentieth order of each aspheric surface. The following embodiments have the similar diagrams and tables, which are the same as those of the first embodiment, so we do not describe it again. 
     [Second Embodiment] 
     As shown in  FIG. 2A  and  FIG. 2B , an optical image capturing system  20  of the second embodiment of the present invention includes, along an optical axis from an object side to an image side, a first lens  210 , a second lens  220 , a third lens  230 , an aperture  200 , a fourth lens  240 , a fifth lens  250 , an infrared rays filter  280 , an image plane  290 , and an image sensor  292 .  FIG. 2C  shows a modulation transformation of the optical image capturing system  20  of the second embodiment of the present application in visible spectrum, and  FIG. 2D  shows a modulation transformation of the optical image capturing system  20  of the second embodiment of the present application in infrared spectrum. 
     The first lens  210  has negative refractive power and is made of plastic. An object-side surface  212  thereof, which faces the object side, is a convex aspheric surface, and an image-side surface  214  thereof, which faces the image side, is a concave aspheric surface. The object-side surface  212  has an inflection point. 
     The second lens  220  has negative refractive power and is made of plastic. An object-side surface  222  thereof, which faces the object side, is a concave aspheric surface, and an image-side surface  224  thereof, which faces the image side, is a concave aspheric surface. The object-side surface  222  has an inflection point. 
     The third lens  230  has positive refractive power and is made of plastic. An object-side surface  232 , which faces the object side, is a convex aspheric surface, and an image-side surface  234 , which faces the image side, is a convex aspheric surface. 
     The fourth lens  240  has negative refractive power and is made of plastic. An object-side surface  242 , which faces the object side, is a concave aspheric surface, and an image-side surface  244 , which faces the image side, is a concave aspheric surface. The image-side surface  244  has an inflection point. 
     The fifth lens  250  has positive refractive power and is made of plastic. An object-side surface  252 , which faces the object side, is a convex surface, and an image-side surface  254 , which faces the image side, is a convex surface. It may help to shorten the back focal length to keep small in size. In addition, the image-side surface  254  has an inflection point, which may reduce an incident angle of the light of an off-axis field of view and correct the aberration of the off-axis field of view. 
     The infrared rays filter  280  is made of glass and between the fifth lens  250  and the image plane  290 . The infrared rays filter  280  gives no contribution to the focal length of the system. 
     The optical image capturing system of the second embodiment satisfies |f2|+|f3|+|f4|=21.3374 mm; |f1|+|f5|=18.3654 mm; and |f2|+|f3|+|f41&gt;|f1|+|f5|, where f2 is a focal length of the second lens  220 , f3 is a focal length of the third lens  230 , f4 is a focal length of the fourth lens  240 , and f5 is a focal length of the fifth lens  250 . 
     In the second embodiment, the optical image capturing system of the second embodiment further satisfies ΣPP=8.87594 mm; and f3/ΣPP=0.67791. where ΣPP is a sum of the focal lengths of each positive lens. It is helpful to share the positive refractive power of the third lens  230  to the other positive lens to avoid the significant aberration caused by the incident rays. 
     The optical image capturing system of the second embodiment further satisfies ΣNP=−30.82683 mm; and f1/ΣNΣP=0.50302. where ΣNP is a sum of the focal lengths of each negative lens. It is helpful to share the negative refractive power of the first lens  210  to other negative lenses. 
     The parameters of the lenses of the second embodiment are listed in Table 3 and Table 4. 
     
       
         
           
               
             
               
                 TABLE 3 
               
             
            
               
                   
               
               
                 f = 1.33168 mm; f/HEP = 1.8; HAF = 100 deg 
               
            
           
           
               
               
               
               
               
               
               
            
               
                   
                 Radius of curvature 
                 Thickness 
                   
                 Refractive 
                 Abbe 
                 Focal length 
               
               
                 Surface 
                 (mm) 
                 (mm) 
                 Material 
                 index 
                 number 
                 (mm) 
               
               
                   
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                 0 
                 Object 
                 plane 
                 infinity 
                   
                   
                   
                   
               
               
                 1 
                 1 st  lens 
                 57.51654  
                 2.017047 
                 plastic 
                 1.565 
                 58 
                 −15.5065 
               
               
                 2 
                   
                 7.52712 
                 8.271781 
               
               
                 3 
                 2 nd  lens 
                 −60.0917    
                 4.001031 
                 plastic 
                 1.565 
                 58 
                 −12.6711 
               
               
                 4 
                   
                 8.35303 
                 17.47607 
               
               
                 5 
                 3 rd  lens 
                 4.38824 
                 4.366001 
                 plastic 
                 1.55 
                 56.5 
                 6.01708 
               
               
                 6 
                   
                 −8.81439  
                 0.05 
               
               
                 7 
                 Aperture 
                 plane 
                 1.453606 
               
               
                 8 
                 4 th  lens 
                 −3.58683  
                 0.4 
                 plastic 
                 1.65 
                 21.4 
                 −2.64923 
               
               
                 9 
                   
                 3.5145  
                 0.110454 
               
               
                 10 
                 5 th  lens 
                 2.99373 
                 2.211261 
                 plastic 
                 1.565 
                 58 
                 2.85886 
               
               
                 11 
                   
                 −2.5883  
                 1 
               
               
                 12 
                 Infrared 
                 plane 
                 0.85 
                 NBK7 
               
               
                   
                 rays filter 
               
               
                 13 
                   
                 plane 
                 1.843675 
               
               
                 14 
                 Image plane 
                 plane 
               
               
                   
               
               
                 Reference wavelength: 555 nm. 
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 4 
               
               
                   
               
               
                 Coefficients of the aspheric surfaces 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                 Surface 
                 1 
                 2 
                 3 
                 4 
                 5 
                 6 
                 8 
               
               
                   
               
               
                 k 
                 4.064015 
                 −0.541688 
                 −2.11709 
                 −0.405219 
                 −1.15074 
                 12.263053 
                 −10.261077 
               
               
                 A4 
                  4.29560E−06 
                 −2.71683E−04 
                  9.35290E−06 
                 −1.84133E−04 
                 1.07769E−03 
                 5.53057E−03 
                 −1.76548E−02 
               
               
                 A6 
                 −1.71152E−08 
                 −1.07076E−07 
                 −6.60979E−08 
                 −2.20024E−06 
                 −3.81712E−05  
                 −2.21158E−04  
                 −1.86828E−03 
               
               
                 A8 
                 −2.76748E−11 
                  2.06773E−11 
                 −4.90235E−10 
                 −2.29752E−08 
                 6.79373E−06 
                 −5.14730E−05  
                  1.06128E−03 
               
               
                 A10 
                  4.72903E−14 
                 −5.18719E−14 
                 −3.19862E−12 
                  1.24733E−10 
                 −6.94540E−07  
                 2.27442E−05 
                 −1.81264E−04 
               
               
                 A12 
                 −1.44839E−17 
                  1.35603E−13 
                 −2.50917E−15 
                  2.60744E−12 
                 1.21782E−13 
                 1.21783E−13 
                  1.21783E−13 
               
               
                 A14 
                 −6.89749E−20 
                 −3.71107E−15 
                  4.18487E−16 
                  6.29943E−15 
                 2.30237E−16 
                 2.30285E−16 
                  2.30324E−16 
               
               
                   
               
            
           
           
               
               
               
               
               
            
               
                   
                 Surface 
                 9 
                 10 
                 11 
               
               
                   
                   
               
               
                   
                 k 
                 −18.845912 
                 −15.130709 
                 −1.072172 
               
               
                   
                 A4 
                 7.36539E−03 
                 4.48813E−03 
                 2.76592E−03 
               
               
                   
                 A6 
                 −3.74230E−03  
                 −6.88623E−04  
                 −3.84611E−06  
               
               
                   
                 A8 
                 6.37415E−04 
                 9.17362E−05 
                 5.19716E−05 
               
               
                   
                 A10 
                 −5.53223E−05  
                 −3.42556E−06  
                 5.54782E−06 
               
               
                   
                 A12 
                 1.21783E−13 
                 1.21783E−13 
                 1.21754E−13 
               
               
                   
                 A14 
                 2.30289E−16 
                 2.30301E−16 
                 2.30386E−16 
               
               
                   
                   
               
            
           
         
       
     
     An equation of the aspheric surfaces of the second embodiment is the same as that of the first embodiment, and the definitions are the same as well. 
     The exact parameters of the second embodiment based on Table 3 and Table 4 are listed in the following table: 
     
       
         
           
               
             
               
                   
               
               
                 Second embodiment (Reference wavelength: 555 nm) 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 ETP1 
                 ETP2 
                 ETP3 
                 ETP4 
                 ETP5 
                 BL 
               
               
                   
               
               
                 2.025 
                 4.010 
                 4.343  
                 0.438 
                 2.163  
                 3.6841  
               
               
                   
               
               
                 ETP1/TP1 
                 ETP2/TP2 
                 ETP3/TP3 
                 ETP4/TP4 
                 ETP5/TP5 
                 EBL/BL 
               
               
                   
               
               
                 1.004 
                 1.002 
                 0.995  
                 1.094 
                 0.978  
                 1.0073  
               
               
                   
               
               
                 ETL 
                 EBL 
                 EIN 
                 EIR 
                 PIR 
                 EIN/ETL 
               
               
                   
               
               
                 44.040  
                 3.711 
                 40.330   
                 1.026 
                 1.000  
                 0.916  
               
               
                   
               
               
                 SETP/EIN 
                 EIR/PIR 
                 SETP 
                 STP 
                 SETP/STP 
                 SED/SIN 
               
               
                   
               
               
                 0.322 
                 1.026 
                 12.979   
                 12.995  
                 0.999  
                 0.99960 
               
               
                   
               
               
                 ED12 
                 ED23 
                 ED34 
                 ED45 
                 SED 
                 SIN 
               
               
                   
               
               
                 8.262 
                 17.483  
                 1.492  
                 0.114 
                 27.351   
                 27.362   
               
               
                   
               
               
                 ED12/IN12 
                 ED23/IN23 
                 ED34/IN34 
                 ED45/IN45 
               
               
                   
               
               
                 0.999 
                 1.000 
                 0.993  
                 1.028 
               
               
                   
               
               
                 |f/f1| 
                 |f/f2| 
                 |f/f3| 
                 |f/f4| 
                 |f/f5| 
                 |f1/f2| 
               
               
                   
               
               
                  0.08588 
                  0.10510 
                 0.22132 
                  0.50267 
                 0.46581 
                 1.22377 
               
               
                   
               
               
                 ΣPPR 
                 ΣNPR 
                 ΣPPR/|ΣNPR| 
                 IN12/f 
                 IN45/f 
                 |f2/f3| 
               
               
                   
               
               
                  0.68712 
                  0.69364 
                 0.99060 
                  6.21154 
                 0.08294 
                 2.10586 
               
               
                   
               
            
           
           
               
               
               
            
               
                 TP3/(IN23 + TP3 + IN34) 
                 (TP1 + IN12)/TP2 
                 (TP5 + IN45)/TP4 
               
               
                   
               
               
                  0.18702 
                 2.57155 
                 5.80429 
               
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 HOS 
                 InTL 
                 HOS/HOI 
                 InS/HOS 
                 ODT % 
                 TDT % 
               
               
                   
               
               
                  44.04140 
                  40.35730 
                 13.55746  
                  0.17846 
                 −141.731     
                 148.358   
               
               
                   
               
               
                 HVT41 
                 HVT42 
                 HVT51 
                 HVT52 
                 HVT52/HOI 
                 HVT52/HOS 
               
               
                   
               
               
                  0.00000 
                  0.00000 
                 0.00000 
                  0.00000 
                 0.00000 
                 0.00000 
               
               
                   
               
               
                 TP2/TP3 
                 TP3/TP4 
                 InRS51 
                 InRS52 
                 |InRS51|/TP5 
                 |InRS52|/TP5 
               
               
                   
               
               
                  0.91641 
                  10.91500 
                  0.549456 
                  −0.95495 
                 0.24848 
                 0.43186 
               
               
                   
               
               
                 MTFQ0 
                 MTFQ3 
                 MTFQ7 
                 MTFH0 
                 MTFH3 
                 MTFH7 
               
               
                   
               
               
                 0.85  
                 0.57  
                 0.25   
                 0.65  
                 0.17   
                 0.05   
               
               
                   
               
               
                 MTFI0 
                 MTFI3 
                 MTFI7 
               
               
                   
               
               
                 0.68  
                 0.84  
                 0.23   
               
               
                   
               
            
           
         
       
     
     The results of the equations of the second embodiment based on Table 3 and Table 4 are listed in the following table: 
     
       
         
           
               
             
               
                   
               
               
                 Values related to the inflection points of the second embodiment (Reference wavelength: 555 nm) 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                 HIF111 
                 16.3905 
                 HIF111/HOI 
                 5.04556 
                 SGI111 
                 2.53067 
                 |SGI111|/(|SGI111| + TP1) 
                 0.55647 
               
               
                 HIF211 
                 10.1609 
                 HIF211/HOI 
                 3.12787 
                 SGI211 
                 −0.86928 
                 |SGI211|/(|SGI211| + TP2) 
                 0.17849 
               
               
                 HIF421 
                 1.31733 
                 HIF421/HOI 
                 0.40552 
                 SGI421 
                 0.17941 
                 |SGI421|/(|SGI421| + TP4) 
                 0.30965 
               
               
                 HIF521 
                 1.92575 
                 HIF521/HOI 
                 0.59281 
                 SGI521 
                 −0.65782 
                 |SGI521|/(|SGI521| + TP5) 
                 0.22928 
               
               
                   
               
            
           
         
       
     
     [Third Embodiment] 
     As shown in  FIG. 3A  and  FIG. 3B , an optical image capturing system of the third embodiment of the present invention includes, along an optical axis from an object side to an image side, a first lens  310 , a second lens  320 , a third lens  330 , an aperture  300 , a fourth lens  340 , a fifth lens  350 , an infrared rays filter  380 , an image plane  390 , and an image sensor  392 .  FIG. 3C  shows a modulation transformation of the optical image capturing system  30  of the third embodiment of the present application in visible spectrum, and  FIG. 3D  shows a modulation transformation of the optical image capturing system  30  of the third embodiment of the present application in infrared spectrum. 
     The first lens  310  has negative refractive power and is made of plastic. An object-side surface  312  thereof, which faces the object side, is a convex aspheric surface, and an image-side surface  314  thereof, which faces the image side, is a concave aspheric surface. 
     The second lens  320  has negative refractive power and is made of plastic. An object-side surface  322  thereof, which faces the object side, is a convex aspheric surface, and an image-side surface  324  thereof, which faces the image side, is a concave aspheric surface. The object-side surface has an inflection point. 
     The third lens  330  has positive refractive power and is made of plastic. An object-side surface  332  thereof, which faces the object side, is a convex surface, and an image-side surface  334  thereof, which faces the image side, is a concave aspheric surface. 
     The fourth lens  340  has positive refractive power and is made of plastic. An object-side surface  342 , which faces the object side, is a convex aspheric surface, and an image-side surface  344 , which faces the image side, is a convex aspheric surface. The object-side surface  342  has an inflection point. 
     The fifth lens  350  has negative refractive power and is made of plastic. An object-side surface  352 , which faces the object side, is a convex surface, and an image-side surface  354 , which faces the image side, is a concave surface. It may help to shorten the back focal length to keep small in size. In addition, the image-side surface  354  has an inflection point, which may reduce an incident angle of the light of an off-axis field of view and correct the aberration of the off-axis field of view. 
     The infrared rays filter  380  is made of glass and between the fifth lens  350  and the image plane  390 . The infrared rays filter  390  gives no contribution to the focal length of the system. 
     The optical image capturing system of the second embodiment satisfies |f2|+|f3|+|f4|=32.8735 mm; |f1|+|f5|=50.1732 mm; and |f2|+|f3|+|f4|&lt;|f1|+|f5|, where f2 is a focal length of the second lens  320 , f3 is a focal length of the third lens  330 , f4 is a focal length of the fourth lens  340 , and f5 is a focal length of the fifth lens  350 . 
     In the third embodiment, the optical image capturing system of the third embodiment further satisfies ΣPP=27.87392 mm; and f3/ΣPP=0.87453 mm, where ΣPP is a sum of the focal lengths of each positive lens. It is helpful to share the positive refractive power of the third lens  330  to the other positive lens to avoid the significant aberration caused by the incident rays. 
     The optical image capturing system of the third embodiment further satisfies ΣNP=−55.17274 mm; and f1/ΣNP=0.61045. where ΣNP is a sum of the focal lengths of each negative lens. It is helpful to share the negative refractive power of the first lens  310  to other negative lenses. 
     The parameters of the lenses of the third embodiment are listed in Table 5 and Table 6. 
     
       
         
           
               
             
               
                 TABLE 5 
               
             
            
               
                   
               
               
                 f = 1.35300 mm; f/HEP = 1.8; HAF = 89.9935 deg 
               
            
           
           
               
               
               
               
               
               
               
            
               
                   
                 Radius of curvature 
                 Thickness 
                   
                 Refractive 
                 Abbe 
                 Focal length 
               
               
                 Surface 
                 (mm) 
                 (mm) 
                 Material 
                 index 
                 number 
                 (mm) 
               
               
                   
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                 0 
                 Object 
                 plane 
                 infinity 
                   
                   
                   
                   
               
               
                 1 
                 1 st  lens 
                 49.63375 
                 6.170876 
                 plastic 
                 1.565 
                 58 
                 −33.6801 
               
               
                 2 
                   
                 13.16671 
                 7.280717 
               
               
                 3 
                 2 nd  lens 
                 51.25803 
                 3.299971 
                 plastic 
                 1.535 
                 56.3 
                 −4.99954 
               
               
                 4 
                   
                 2.4926 
                 6.054966 
               
               
                 5 
                 3 rd  lens 
                  9.21507 
                 10 
                 plastic 
                 1.65 
                 21.4 
                 24.3765 
               
               
                 6 
                   
                 12.41776 
                 0.26997 
               
               
                 7 
                 Aperture 
                 plane 
                 0 
               
               
                 8 
                 4 th  lens 
                  3.84092 
                 2.886463 
                 plastic 
                 1.565 
                 58 
                 3.49742 
               
               
                 9 
                   
                 −2.98276 
                 0.05 
               
               
                 10 
                 5 th  lens 
                 83.58868 
                 3.093074 
                 plastic 
                 1.65 
                 21.4 
                 −16.4931 
               
               
                 11 
                   
                  9.43212 
                 0.5 
               
               
                 12 
                 Infrared 
                 plane 
                 0.85 
                   
                 1.517 
                 64.13 
               
               
                   
                 rays filter 
               
               
                 13 
                   
                 plane 
                 0.765964 
               
               
                 14 
                 Image plane 
                 plane 
               
               
                   
               
               
                 Reference wavelength: 555 nm. 
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 6 
               
               
                   
               
               
                 Coefficients of the aspheric surfaces 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                 Surface 
                 1 
                 2 
                 3 
                 4 
                 5 
                 6 
                 8 
               
               
                   
               
               
                 k 
                 0 
                 0 
                 9.969201 
                 −0.824227 
                 −2.43075 
                 45.300665 
                 −0.797324 
               
               
                 A4 
                   
                 1.94756E−20 
                  4.68977E−05 
                 −6.15481E−04 
                  2.12823E−04 
                  1.64567E−03 
                 −1.60862E−03 
               
               
                 A6 
                   
                 2.53134E−37 
                 −4.92765E−07 
                  6.35197E−06 
                  2.12615E−06 
                 −1.98445E−04 
                  3.97482E−04 
               
               
                 A8 
                   
                 0.00000E+00 
                 −3.49547E−09 
                  7.53165E−08 
                  1.30474E−07 
                  1.28754E−04 
                 −2.22951E−04 
               
               
                 A10 
                   
                 0.00000E+00 
                 −8.67461E−12 
                 −6.18924E−10 
                 −7.98482E−10 
                 −1.21974E−05 
                  7.73063E−06 
               
               
                 A12 
                   
                 2.73003E−14 
                  4.03535E−13 
                 −2.34914E−09 
                 −3.41240E−10 
                  2.20435E−09 
                  9.20194E−18 
               
               
                 A14 
                   
                 −6.66915E−16  
                 −1.45720E−15 
                  2.94267E−12 
                 −5.37050E−13 
                 −4.23398E−13 
                 −1.56560E−17 
               
               
                   
               
            
           
           
               
               
               
               
               
            
               
                   
                 Surface 
                 9 
                 10 
                 11 
               
               
                   
                   
               
               
                   
                 k 
                 0 
                 44.089874 
                 −0.224934 
               
               
                   
                 A4 
                 5.99395E−16 
                 −8.32874E−03 
                 1.82396E−03 
               
               
                   
                 A6 
                 4.47827E−24 
                 −5.53577E−04 
                 −6.81997E−04  
               
               
                   
                 A8 
                 0.00000E+00 
                 −4.84292E−05 
                 4.79287E−05 
               
               
                   
                 A10 
                 0.00000E+00 
                 −2.32327E−05 
                 5.33395E−07 
               
               
                   
                 A12 
                 −9.14115E−18  
                 −4.61660E−07 
                 −3.37863E−07  
               
               
                   
                 A14 
                 8.21220E−18 
                  1.03426E−08 
                 1.49915E−08 
               
               
                   
                   
               
            
           
         
       
     
     An equation of the aspheric surfaces of the third embodiment is the same as that of the first embodiment, and the definitions are the same as well. 
     The exact parameters of the third embodiment based on Table 5 and Table 6 are listed in the following table: 
     
       
         
           
               
             
               
                   
               
               
                 Third embodiment (Reference wavelength: 555 nm) 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 ETP1 
                 ETP2 
                 ETP3 
                 ETP4 
                 ETP5 
                 BL 
               
               
                   
               
               
                 6.175  
                 3.327 
                 9.998  
                 2.844  
                 3.100  
                 2.116  
               
               
                   
               
               
                 ETP1/TP1 
                 ETP2/TP2 
                 ETP3/TP3 
                 ETP4/TP4 
                 ETP5/TP5 
                 EBL/BL 
               
               
                   
               
               
                 1.00064 
                  1.00817 
                 0.99981 
                 0.98540 
                 1.00221 
                 0.99622 
               
               
                   
               
               
                 ETL 
                 EBL 
                 EIN 
                 EIR 
                 PIR 
                 EIN/ETL 
               
               
                   
               
               
                 41.221   
                 2.108 
                 39.112   
                 0.192  
                 0.200  
                 0.949  
               
               
                   
               
               
                 SETP/EIN 
                 EIR/PIR 
                 SETP 
                 STP 
                 SETP/STP 
                 SED/SIN 
               
               
                   
               
               
                 0.651  
                 0.962 
                 25.444   
                 25.450   
                 0.99975 
                 1.001  
               
               
                   
               
               
                 ED12 
                 ED23 
                 ED34 
                 ED45 
                 SED 
                 SIN 
               
               
                   
               
               
                 7.277  
                 6.034 
                 0.283  
                 0.074  
                 13.668   
                 13.656   
               
               
                   
               
               
                 ED12/IN12 
                 ED23/IN23 
                 ED34/IN34 
                 ED45/IN45 
               
               
                   
               
               
                 0.999  
                 0.997 
                 1.047  
                 1.489  
               
               
                   
               
               
                 |f/f1| 
                 |f/f2| 
                 |f/f3| 
                 |f/f4| 
                 |f/f5| 
                 |f1/f2| 
               
               
                   
               
               
                 0.04017 
                  0.27062 
                 0.05550 
                 0.38686 
                 0.08203 
                 6.73664 
               
               
                   
               
               
                 ΣPPR 
                 ΣNPR 
                 ΣPPR/|ΣNPR| 
                 IN12/f 
                 IN45/f 
                 |f2/f3| 
               
               
                   
               
               
                 0.44236 
                  0.39283 
                 1.12608 
                 5.38117 
                 0.03695 
                 0.20510 
               
               
                   
               
            
           
           
               
               
               
            
               
                 TP3/(IN23 + TP3 + IN34) 
                 (TP1 + IN12)/TP2 
                 (TP5 + IN45)/TP4 
               
               
                   
               
               
                 0.61256 
                 4.07628 
                 1.08890 
               
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 HOS 
                 InTL 
                 HOS/HOI 
                 InS/HOS 
                 ODT % 
                 TDT % 
               
               
                   
               
               
                 41.22200  
                  39.10600 
                 12.68369  
                 0.19760 
                 −100.027     
                 77.9207  
               
               
                   
               
               
                 HVT41 
                 HVT42 
                 HVT51 
                 HVT52 
                 HVT52/HOI 
                 HVT52/HOS 
               
               
                   
               
               
                 0.00000 
                  0.00000 
                 0.58896 
                 0.00000 
                 0.18122 
                 0.01429 
               
               
                   
               
               
                 TP2/TP3 
                 TP3/TP4 
                 InRS51 
                 InRS52 
                 |InRS51|/TP5 
                 |InRS52|/TP5 
               
               
                   
               
               
                 0.33000 
                  3.46445 
                 −0.049915 
                  0.243398 
                 0.01614 
                 0.07869 
               
               
                   
               
               
                 MTFQ0 
                 MTFQ3 
                 MTFQ7 
                 MTFH0 
                 MTFH3 
                 MTFH7 
               
               
                   
               
               
                 0.63   
                 0.65  
                 0.02   
                 0.38   
                 0.28   
                 0.12   
               
               
                   
               
               
                 MTFI0 
                 MTFI3 
                 MTFI7 
               
               
                   
               
               
                 0.55   
                 0.75  
                 0.22   
               
               
                   
               
            
           
         
       
     
     The results of the equations of the third embodiment based on Table 5 and Table 6 are listed in the following table: 
     
       
         
           
               
             
               
                   
               
               
                 Values related to the inflection points of the third embodiment (Reference wavelength: 555 nm) 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                 HIF211 
                 7.17352 
                 HIF211/HOI 
                 2.20724 
                 SGI211 
                 0.56778 
                 |SGI211|/(|SGI211| + TP2) 
                 0.14680 
               
               
                 HIF411 
                 0.79077 
                 HIF411/HOI 
                 0.24331 
                 SGI411 
                 −0.35438 
                 |SGI411|/(|SGI411| + TP4) 
                 0.10935 
               
               
                 HIF511 
                 0.34272 
                 HIF511/HOI 
                 0.10545 
                 SGI511 
                 0.00059 
                 |SGI511|/(|SGI511| + TP5) 
                 0.00019 
               
               
                 HIF512 
                 1.82902 
                 HIF512/HOI 
                 0.56278 
                 SGI512 
                 0.28955 
                 |SGI512|/(|SGI512| + TP5) 
                 0.08560 
               
               
                 HIF521 
                 2.12924 
                 HIF521/HOI 
                 0.65515 
                 SGI521 
                 0.23562 
                 |SGI521|/(|SGI521| + TP5) 
                 0.07078 
               
               
                   
               
            
           
         
       
     
     [Fourth Embodiment] 
     As shown in  FIG. 4A  and  FIG. 4B , an optical image capturing system  40  of the fourth embodiment of the present invention includes, along an optical axis from an object side to an image side, a first lens  410 , an aperture  400 , a second lens  420 , a third lens  430 , a fourth lens  440 , a fifth lens  450 , an infrared rays filter  480 , an image plane  490 , and an image sensor  492 .  FIG. 4C  shows a modulation transformation of the optical image capturing system  40  of the fourth embodiment of the present application in visible spectrum, and  FIG. 4D  shows a modulation transformation of the optical image capturing system  40  of the fourth embodiment of the present application in infrared spectrum. 
     The first lens  410  has negative refractive power and is made of plastic. An object-side surface  412  thereof, which faces the object side, is a convex aspheric surface, and an image-side surface  414  thereof, which faces the image side, is a concave aspheric surface. 
     The second lens  420  has negative refractive power and is made of plastic. An object-side surface  422  thereof, which faces the object side, is a convex aspheric surface, and an image-side surface  424  thereof, which faces the image side, is a concave aspheric surface. The object-side surface  422  and the image-side surface  424  both have an inflection point. 
     The third lens  430  has positive refractive power and is made of plastic. An object-side surface  432  thereof, which faces the object side, is a convex aspheric surface, and an image-side surface  434  thereof, which faces the image side, is a convex aspheric surface. The object-side surface  432  has an inflection point. 
     The fourth lens  440  has negative refractive power and is made of plastic. An object-side surface  442 , which faces the object side, is a concave aspheric surface, and an image-side surface  444 , which faces the image side, is a concave aspheric surface. 
     The fifth lens  450  has positive refractive power and is made of plastic. An object-side surface  452 , which faces the object side, is a convex surface, and an image-side surface  454 , which faces the image side, is a convex surface. It may help to shorten the back focal length to keep small in size. 
     The infrared rays filter  480  is made of glass and between the fifth lens  450  and the image plane  490 . The infrared rays filter  480  gives no contribution to the focal length of the system. 
     The optical image capturing system of the second embodiment satisfies |f2|+|f3|+|f4|=24.2854 mm; |f1|+|f5|=12.5933 mm; and |f2|+|f3|+|f4|&gt;|f1|+|f5|, where f2 is a focal length of the second lens  420 , f3 is a focal length of the third lens  430 , f4 is a focal length of the fourth lens  440 , and f5 is a focal length of the fifth lens  450 . 
     In the fourth embodiment, the optical image capturing system of the fourth embodiment further satisfies ΣPP=15.68241 mm; and f3/ΣPP=0.84738. where ΣPP is a sum of the focal lengths of each positive lens. It is helpful to share the positive refractive power of the third lens  430  to the other positive lens to avoid the significant aberration caused by the incident rays. 
     The optical image capturing system of the fourth embodiment further satisfies ΣNP=−33.93998 mm; and f1/ΣNP=0.42508. where ΣNP is a sum of the focal lengths of each negative lens. It is helpful to share the negative refractive power of the first lens  410  to other negative lenses. 
     The parameters of the lenses of the fourth embodiment are listed in Table 7 and Table 8. 
     
       
         
           
               
             
               
                 TABLE 7 
               
             
            
               
                   
               
               
                 f = 0.85370 mm; f/HEP = 1.8; HAF = 80.0032 deg 
               
            
           
           
               
               
               
               
               
               
               
            
               
                   
                 Radius of curvature 
                 Thickness 
                   
                 Refractive 
                 Abbe 
                 Focal length 
               
               
                 Surface 
                 (mm) 
                 (mm) 
                 Material 
                 index 
                 number 
                 (mm) 
               
               
                   
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                 0 
                 Object 
                 plane 
                 infinity 
                   
                   
                   
                   
               
               
                 1 
                 1 st  lens 
                 56.69581  
                 8 
                 plastic 
                 1.565 
                 58 
                 −8.80866 
               
               
                 2 
                   
                 4.3543  
                 17.07889 
               
               
                 3 
                 2 nd  lens 
                 49.68607  
                 1.425896 
                 plastic 
                 1.565 
                 58 
                 −17.2141 
               
               
                 4 
                   
                 8.07054 
                 12.41534 
               
               
                 5 
                 Aperture 
                 plane 
                 −0.33949 
                 plastic 
               
               
                 6 
                 3 rd  lens 
                 3.37181 
                 1.957908 
                   
                 1.565 
                 58 
                 3.90723 
               
               
                 7 
                   
                 −5.09692  
                 0.841654 
               
               
                 8 
                 4 th  lens 
                 −11.6907    
                 0.402838 
                 plastic 
                 1.65 
                 21.4 
                 −3.16409 
               
               
                 9 
                   
                 2.55551 
                 0.113596 
               
               
                 10 
                 5 th  lens 
                 4.51333 
                 1.251703 
                 plastic 
                 1.565 
                 58 
                 3.78464 
               
               
                 11 
                   
                 −3.67781  
                 0.8 
               
               
                 12 
                 Infrared 
                 plane 
                 0.85 
                   
                 1.517 
                 64.13 
               
               
                   
                 rays filter 
               
               
                 13 
                   
                 plane 
                 1.597782 
               
               
                 14 
                 Image plane 
                 plane 
               
               
                   
               
               
                 Reference wavelength: 555 nm. 
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 8 
               
               
                   
               
               
                 Coefficients of the aspheric surfaces 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                 Surface 
                 1 
                 2 
                 3 
                 4 
                 6 
                 7 
                 8 
               
               
                   
               
               
                 k 
                 1.440261 
                 −0.882584 
                 15.474721 
                 1.329643 
                 −1.777957 
                 2.84218 
                 29.118433 
               
               
                 A4 
                   
                 −2.42256E−04 
                  3.88845E−06 
                  1.92207E−04 
                  4.06841E−03 
                  1.43420E−02 
                 −2.15386E−02 
               
               
                 A6 
                   
                  4.64768E−06 
                 −1.05379E−06 
                 −6.11009E−06 
                 −6.79747E−04 
                 −3.36527E−03 
                  3.13942E−03 
               
               
                 A8 
                   
                  4.19833E−09 
                 −3.90435E−10 
                  1.42111E−06 
                  1.97809E−04 
                  6.43266E−04 
                  5.66152E−04 
               
               
                 A10 
                   
                  2.40979E−14 
                 −1.01661E−11 
                 −1.78650E−08 
                 −5.44745E−05 
                 −8.50804E−05 
                 −1.58101E−04 
               
               
                 A12 
                   
                 −7.06167E−13 
                  1.79656E−12 
                  4.24081E−20 
                 −1.78608E−19 
                 −5.82874E−19 
                 −1.58113E−18 
               
               
                 A14 
                   
                 −8.98687E−15 
                 −1.23863E−14 
                 −7.48428E−21 
                  4.70503E−23 
                  2.45073E−21 
                  3.67320E−20 
               
               
                   
               
            
           
           
               
               
               
               
               
            
               
                   
                 Surface 
                 9 
                 10 
                 11 
               
               
                   
                   
               
               
                   
                 k 
                 −4.78026 
                 1.642938 
                 −0.452729 
               
               
                   
                 A4 
                 −5.30632E−03  
                 −3.20956E−04 
                 6.98376E−03 
               
               
                   
                 A6 
                 4.56969E−04 
                 −6.60907E−04 
                 2.50386E−03 
               
               
                   
                 A8 
                 3.87991E−04 
                  1.77597E−04 
                 8.07165E−05 
               
               
                   
                 A10 
                 −6.66387E−05  
                 −8.89048E−06 
                 2.31349E−06 
               
               
                   
                 A12 
                 6.71158E−20 
                  2.17312E−19 
                 2.15148E−18 
               
               
                   
                 A14 
                 2.34160E−20 
                 −5.61147E−20 
                 1.28473E−20 
               
               
                   
                   
               
            
           
         
       
     
     An equation of the aspheric surfaces of the fourth embodiment is the same as that of the first embodiment, and the definitions are the same as well. 
     The exact parameters of the fourth embodiment based on Table 7 and Table 8 are listed in the following table: 
     
       
         
           
               
             
               
                   
               
               
                 Fourth embodiment (Reference wavelength: 555 nm) 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 ETP1 
                 ETP2 
                 ETP3 
                 ETP4 
                 ETP5 
                 BL 
               
               
                   
               
               
                 8.006  
                 1.429  
                 1.944 
                 0.416 
                 1.238  
                 3.2415  
               
               
                   
               
               
                 ETP1/TP1 
                 ETP2/TP2 
                 ETP3/TP3 
                 ETP4/TP4 
                 ETP5/TP5 
                 EBL/BL 
               
               
                   
               
               
                 1.001  
                 1.002  
                 0.993 
                 1.033 
                 0.989  
                 1.00231 
               
               
                   
               
               
                 ETL 
                 EBL 
                 EIN 
                 EIR 
                 PIR 
                 EIN/ETL 
               
               
                   
               
               
                 46.389   
                 3.249  
                 43.140  
                 0.808 
                 0.800  
                 0.930  
               
               
                   
               
               
                 SETP/EIN 
                 EIR/PIR 
                 SETP 
                 STP 
                 SETP/STP 
                 SED/SIN 
               
               
                   
               
               
                 0.302  
                 1.010  
                 13.033  
                 13.038  
                 0.99958 
                 0.99991 
               
               
                   
               
               
                 ED12 
                 ED23 
                 ED34 
                 ED45 
                 SED 
                 SIN 
               
               
                   
               
               
                 17.073   
                 12.081   
                 0.845 
                 0.109 
                 30.107   
                 30.110   
               
               
                   
               
               
                 ED12/IN12 
                 ED23/IN23 
                 ED34/IN34 
                 ED45/IN45 
               
               
                   
               
               
                 0.99966 
                 1.00040 
                 1.004 
                 0.959 
               
               
                   
               
               
                 |f/f1| 
                 |f/f2| 
                 |f/f3| 
                 |f/f4| 
                 |f/f5| 
                 |f1/f2| 
               
               
                   
               
               
                 0.09692 
                 0.04959 
                  0.21849 
                  0.26981 
                 0.22557 
                 0.51171 
               
               
                   
               
               
                 ΣPPR 
                 ΣNPR 
                 ΣPPR/|ΣNPR| 
                 IN12/f 
                 IN45/f 
                 |f2/f3| 
               
               
                   
               
               
                 0.44406 
                 0.41632 
                  1.06664 
                  20.00574 
                 0.13306 
                 4.40570 
               
               
                   
               
            
           
           
               
               
               
            
               
                 TP3/(IN23 + TP3 + IN34) 
                 (TP1 + IN12)/TP2 
                 (TP5 + IN45)/TP4 
               
               
                   
               
               
                 0.13162 
                  17.58812 
                 3.38919 
               
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 HOS 
                 InTL 
                 HOS/HOI 
                 InS/HOS 
                 ODT % 
                 TDT % 
               
               
                   
               
               
                 46.38980  
                 43.14830  
                  14.27378 
                  0.16102 
                 −32.8438    
                 43.2316  
               
               
                   
               
               
                 HVT41 
                 HVT42 
                 HVT51 
                 HVT52 
                 HVT52/HOI 
                 HVT52/HOS 
               
               
                   
               
               
                 0.00000 
                 0.00000 
                  0.00000 
                  1.83600 
                 0.00000 
                 0.00000 
               
               
                   
               
               
                 TP2/TP3 
                 TP3/TP4 
                 InRS51 
                 InRS52 
                 |InRS51|/TP5 
                 |InRS52|/TP5 
               
               
                   
               
               
                 0.72828 
                 4.86029 
                   0.613775 
                  −0.22181 
                 0.49035 
                 0.17721 
               
               
                   
               
               
                 MTFQ0 
                 MTFQ3 
                 MTFQ7 
                 MTFH0 
                 MTFH3 
                 MTFH7 
               
               
                   
               
               
                 0.85   
                 0.38   
                 0.05  
                 0.64  
                 0.05   
                 0.39   
               
               
                   
               
               
                 MTFI0 
                 MTFI3 
                 MTFI7 
               
               
                   
               
               
                 0.85   
                 0.83   
                 0.25  
               
               
                   
               
            
           
         
       
     
     The results of the equations of the fourth embodiment based on Table 7 and Table 8 are listed in the following table: 
     
       
         
           
               
             
               
                   
               
               
                 Values related to the inflection points of the fourth embodiment (Reference wavelength: 555 nm) 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                 HIF121 
                 9.84337 
                 HIF121/HOI 
                 3.02873 
                 SGI121 
                 14.65000 
                 |SGI121|/(|SGI121| + TP1) 
                 0.64680 
               
               
                 HIF211 
                 5.81845 
                 HIF211/HOI 
                 1.79029 
                 SGI211 
                 0.32714 
                 |SGI211|/(|SGI211| + TP2) 
                 0.18661 
               
               
                 HIF212 
                 8.09399 
                 HIF212/HOI 
                 2.49046 
                 SGI212 
                 0.53217 
                 |SGI212|/(|SGI212| + TP2) 
                 0.27178 
               
               
                 HIF213 
                 9.00407 
                 HIF213/HOI 
                 2.77048 
                 SGI213 
                 0.60926 
                 |SGI213|/(|SGI213| + TP2) 
                 0.29937 
               
               
                 HIF421 
                 1.92260 
                 HIF421/HOI 
                 0.59157 
                 SGI421 
                 0.49885 
                 |SGI421|/(|SGI421| + TP4) 
                 0.55324 
               
               
                 HIF521 
                 1.20884 
                 HIF521/HOI 
                 0.37195 
                 SGI521 
                 −0.17858 
                 |SGI521|/(|SGI521| + TP5) 
                 0.12486 
               
               
                   
               
            
           
         
       
     
     [Fifth Embodiment] 
     As shown in  FIG. 5A  and  FIG. 5B , an optical image capturing system of the fifth embodiment of the present invention includes, along an optical axis from an object side to an image side, a first lens  510 , a second lens  520 , an aperture  500 , a third lens  530 , a fourth lens  540 , a fifth lens  550 , an infrared rays filter  580 , an image plane  590 , and an image sensor  592 .  FIG. 5C  shows a modulation transformation of the optical image capturing system  50  of the fifth embodiment of the present application in visible spectrum, and  FIG. 5D  shows a modulation transformation of the optical image capturing system  50  of the fifth embodiment of the present application in infrared spectrum. 
     The first lens  510  has negative refractive power and is made of plastic. An object-side surface  512 , which faces the object side, is a convex aspheric surface, and an image-side surface  514 , which faces the image side, is a concave aspheric surface. The image-side surface  514  has two inflection points. 
     The second lens  520  has negative refractive power and is made of plastic. An object-side surface  522  thereof, which faces the object side, is a concave aspheric surface, and an image-side surface  524  thereof, which faces the image side, is a concave aspheric surface. The object-side surface  522  has an inflection point. 
     The third lens  530  has positive refractive power and is made of plastic. An object-side surface  532 , which faces the object side, is a convex aspheric surface, and an image-side surface  534 , which faces the image side, is a concave aspheric surface. The image-side surface  534  has an inflection point. 
     The fourth lens  540  has positive refractive power and is made of plastic. An object-side surface  542 , which faces the object side, is a convex aspheric surface, and an image-side surface  544 , which faces the image side, is a convex aspheric surface. The object-side surface  542  has an inflection point. 
     The fifth lens  550  has negative refractive power and is made of plastic. An object-side surface  552 , which faces the object side, is a concave surface, and an image-side surface  554 , which faces the image side, is a convex surface. The object-side surface  552  and the image-side surface  554  both have an inflection point. It may help to shorten the back focal length to keep small in size. 
     The infrared rays filter  580  is made of glass and between the fifth lens  550  and the image plane  590 . The infrared rays filter  580  gives no contribution to the focal length of the system. 
     The optical image capturing system of the second embodiment satisfies |f2|+|f3|+|f4|=32.3540 mm; |f1|+|f5|=17.2684 mm; and |f2|+|f3|+|f4|&gt;|f1|+|f5|, where f2 is a focal length of the second lens  520 , f3 is a focal length of the third lens  530 , f4 is a focal length of the fourth lens  540 , and f5 is a focal length of the fifth lens  550 . 
     In the fifth embodiment, the optical image capturing system of the fifth embodiment further satisfies ΣPP=15.68241 mm; and f3/ΣPP=0.84738. where ΣPP is a sum of the focal lengths of each positive lens. It is helpful to share the positive refractive power of the third lens  530  to the other positive lens to avoid the significant aberration caused by the incident rays. 
     The optical image capturing system of the fifth embodiment further satisfies ΣNP=−33.93998 mm; and f1/ΣNP=0.42508. where ΣNP is a sum of the focal lengths of each negative lens. It is helpful to share the negative refractive power of the first lens  510  to other negative lenses. 
     The parameters of the lenses of the fifth embodiment are listed in Table 9 and Table 10. 
     
       
         
           
               
             
               
                 TABLE 9 
               
             
            
               
                   
               
               
                 f = 1.17413 mm; f/HEP = 1.8; HAF = 70 deg 
               
            
           
           
               
               
               
               
               
               
               
            
               
                   
                 Radius of curvature 
                 Thickness 
                   
                 Refractive 
                 Abbe 
                 Focal length 
               
               
                 Surface 
                 (mm) 
                 (mm) 
                 Material 
                 index 
                 number 
                 (mm) 
               
               
                   
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                 0 
                 Object 
                 plane 
                 infinity 
                   
                   
                   
                   
               
               
                 1 
                 1 st  lens 
                 40.22805 
                 7.97905 
                 plastic 
                 1.565 
                 58 
                 −14.4273 
               
               
                 2 
                   
                  6.30816 
                 21.79378 
               
               
                 3 
                 2 nd  lens 
                 −100.262   
                 1.208962 
                 plastic 
                 1.565 
                 58 
                 −16.6716 
               
               
                 4 
                   
                 10.4778  
                 12.54886 
               
               
                 5 
                 Aperture 
                 plane 
                 0.26643 
               
               
                 6 
                 3rd lens 
                  4.29722 
                 0.829451 
                 plastic 
                 1.514 
                 56.8 
                 13.2889 
               
               
                 7 
                   
                 10.76718 
                 1.440879 
               
               
                 8 
                 4 th  lens 
                  3.52308 
                 3.112357 
                 plastic 
                 1.565 
                 58 
                 2.39351 
               
               
                 9 
                   
                 −1.50105 
                 0.097704 
               
               
                 10 
                 5 th  lens 
                 −1.21547 
                 1.599487 
                 plastic 
                 1.65 
                 21.4 
                 −2.84108 
               
               
                 11 
                   
                 −5.32344 
                 1 
               
               
                 12 
                 Infrared 
                 plane 
                 0.85 
                   
                 1.517 
                 64.13 
               
               
                   
                 rays filter 
               
               
                 13 
                   
                 plane 
                 1.00000 
               
               
                 14 
                 Image plane 
                 plane 
               
               
                   
               
               
                 Reference wavelength: 555 nm. 
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 10 
               
               
                   
               
               
                 Coefficients of the aspheric surfaces 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                 Surface 
                 1 
                 2 
                 3 
                 4 
                 6 
                 7 
                 8 
               
               
                   
               
               
                 k 
                 0.432575 
                 −0.794138 
                 −50 
                 3.124682 
                 −7.66839 
                 −49.992715 
                 −3.526101 
               
               
                 A4 
                   
                  1.38216E−05 
                  7.79532E−05 
                  3.03009E−04 
                 6.50228E−03 
                 −5.32697E−03 
                  1.68416E−03 
               
               
                 A6 
                   
                 −1.65220E−06 
                 −1.87356E−07 
                 −2.83718E−05 
                 −8.72992E−04  
                  2.65009E−04 
                 −4.82435E−04 
               
               
                 A8 
                   
                 −3.95917E−09 
                  9.86538E−11 
                  2.28052E−06 
                 1.33073E−04 
                  9.64475E−05 
                  2.14704E−05 
               
               
                 A10 
                   
                  2.09628E−10 
                 −4.14409E−11 
                 −3.98770E−08 
                 −1.00686E−05  
                 −1.19181E−05 
                 −3.39621E−06 
               
               
                 A12 
                   
                 −2.86973E−13 
                  1.42065E−12 
                 −3.17951E−12 
                 2.30144E−19 
                 −2.13985E−19 
                  1.07881E−18 
               
               
                 A14 
                   
                 −3.08344E−15 
                 −6.59100E−15 
                  1.25435E−14 
                 8.76433E−20 
                  4.21422E−19 
                 −3.94386E−20 
               
               
                   
               
            
           
           
               
               
               
               
               
            
               
                   
                 Surface 
                 9 
                 10 
                 11 
               
               
                   
                   
               
               
                   
                 k 
                 −3.796562 
                 −3.268786 
                 −50 
               
               
                   
                 A4 
                 −7.46776E−04 
                  7.25558E−03 
                  1.73448E−02 
               
               
                   
                 A6 
                 −1.44832E−04 
                 −5.88601E−04 
                 −2.19366E−04 
               
               
                   
                 A8 
                 −1.55010E−05 
                 −2.78615E−05 
                 −1.32293E−04 
               
               
                   
                 A10 
                  1.16646E−06 
                  6.32027E−06 
                  1.31507E−05 
               
               
                   
                 A12 
                 −5.92227E−18 
                 −2.57488E−18 
                 −3.81495E−18 
               
               
                   
                 A14 
                 −4.16111E−19 
                  5.11577E−19 
                  1.03587E−18 
               
               
                   
                   
               
            
           
         
       
     
     An equation of the aspheric surfaces of the fifth embodiment is the same as that of the first embodiment, and the definitions are the same as well. 
     The exact parameters of the fifth embodiment based on Table 9 and Table 10 are listed in the following table: 
     
       
         
           
               
             
               
                   
               
               
                 Fifth embodiment (Reference wavelength: 555 nm) 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 ETP1 
                 ETP2 
                 ETP3 
                 ETP4 
                 ETP5 
                 BL 
               
               
                   
               
               
                 7.986  
                 1.215 
                 0.822 
                 3.063 
                 1.632 
                 2.85   
               
               
                   
               
               
                 ETP1/TP1 
                 ETP2/TP2 
                 ETP3/TP3 
                 ETP4/TP4 
                 ETP5/TP5 
                 EBL/BL 
               
               
                   
               
               
                 1.001  
                 1.005 
                 0.991 
                 0.984 
                 1.020 
                 1.00316 
               
               
                   
               
               
                 ETL 
                 EBL 
                 EIN 
                 EIR 
                 PIR 
                 EIN/ETL 
               
               
                   
               
               
                 53.726   
                 2.859 
                 50.866  
                 1.009 
                 1.000 
                 0.947  
               
               
                   
               
               
                 SETP/EIN 
                 EIR/PIR 
                 SETP 
                 STP 
                 SETP/STP 
                 SED/SIN 
               
               
                   
               
               
                 0.289  
                 1.009 
                 14.718  
                 14.729  
                 0.999 
                 1.00002 
               
               
                   
               
               
                 ED12 
                 ED23 
                 ED34 
                 ED45 
                 SED 
                 SIN 
               
               
                   
               
               
                 21.785   
                 12.823  
                 1.451 
                 0.090 
                 36.148  
                 36.148   
               
               
                   
               
               
                 ED12/IN12 
                 ED23/IN23 
                 ED34/IN34 
                 ED45/IN45 
               
               
                   
               
               
                 0.99959 
                 1.001 
                 1.007 
                 0.921 
               
               
                   
               
               
                 |f/f1| 
                 |f/f2| 
                 |f/f3| 
                 |f/f4| 
                 |f/f5| 
                 |f1/f2| 
               
               
                   
               
               
                 0.08138 
                  0.07043 
                  0.08835 
                  0.49055 
                  0.41327 
                 0.86538 
               
               
                   
               
               
                 ΣPPR 
                 ΣNPR 
                 ΣPPR/|ΣNPR| 
                 IN12/f 
                 IN45/f 
                 |f2/f3| 
               
               
                   
               
               
                 0.57890 
                  0.56508 
                  1.02446 
                  18.56166 
                  0.08321 
                 1.25455 
               
               
                   
               
            
           
           
               
               
               
            
               
                 TP3/(IN23 + TP3 + IN34) 
                 (TP1 + IN12)/TP2 
                 (TP5 + IN45)/TP4 
               
               
                   
               
               
                 0.05498 
                  24.62683 
                  0.54531 
               
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 HOS 
                 InTL 
                 HOS/HOI 
                 InS/HOS 
                 ODT % 
                 TDT % 
               
               
                   
               
               
                 53.72700  
                  50.87700 
                  16.53138 
                  0.18978 
                 19.9227 
                 17.9338  
               
               
                   
               
               
                 HVT41 
                 HVT42 
                 HVT51 
                 HVT52 
                 HVT52/HOI 
                 HVT52/HOS 
               
               
                   
               
               
                 0.00000 
                  0.00000 
                  0.00000 
                  1.22904 
                  0.00000 
                 0.00000 
               
               
                   
               
               
                 TP2/TP3 
                 TP3/TP4 
                 InRS51 
                 InRS52 
                 |InRS51|/TP5 
                 |InRS52|/TP5 
               
               
                   
               
               
                 1.45754 
                  0.26650 
                  −1.11932 
                  0.25423 
                  0.69980 
                 0.15894 
               
               
                   
               
               
                 MTFQ0 
                 MTFQ3 
                 MTFQ7 
                 MTFH0 
                 MTFH3 
                 MTFH7 
               
               
                   
               
               
                 0.84   
                 0.37  
                 0.19  
                 0.64  
                 0.07  
                 0.03   
               
               
                   
               
               
                 MTFI0 
                 MTFI3 
                 MTFI7 
               
               
                   
               
               
                 0.87   
                 0.79  
                 0.58  
               
               
                   
               
            
           
         
       
     
     The results of the equations of the fifth embodiment based on Table 9 and Table 10 are listed in the following table: 
     
       
         
           
               
             
               
                   
               
               
                 Values related to the inflection points of the fifth embodiment (Reference wavelength: 555 nm) 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                 HIF121 
                 12.2131 
                 HIF121/HOI 
                 3.75788 
                 SGI121 
                 16.11670 
                 |SGI121|/(|SGI121| + TP1) 
                 0.66886 
               
               
                 HIF122 
                 13.4470 
                 HIF122/HOI 
                 4.13754 
                 SGI122 
                 20.31160 
                 |SGI122|/(|SGI122| + TP1) 
                 0.71796 
               
               
                 HIF211 
                 3.25212 
                 HIF211/HOI 
                 1.00065 
                 SGI211 
                 −0.04358 
                 |SGI211|/(|SGI211| + TP2) 
                 0.03480 
               
               
                 HIF321 
                 1.02590 
                 HIF321/HOI 
                 0.31566 
                 SGI321 
                 0.03890 
                 |SGI321|/(|SGI321| + TP3) 
                 0.04480 
               
               
                 HIF411 
                 1.92902 
                 HIF411/HOI 
                 0.59354 
                 SGI411 
                 0.45431 
                 |SGI411|/(|SGI411| + TP4) 
                 0.12738 
               
               
                 HIF511 
                 1.41443 
                 HIF511/HOI 
                 0.43521 
                 SGI511 
                 −0.52130 
                 |SGI511|/(|SGI511| + TP5) 
                 0.24580 
               
               
                 HIF521 
                 0.64114 
                 HIF521/HOI 
                 0.19727 
                 SGI521 
                 −0.03054 
                 |SGI521|/(|SGI521| + TP5) 
                 0.01874 
               
               
                   
               
            
           
         
       
     
     [Sixth Embodiment] 
     As shown in  FIG. 6A  and  FIG. 6B , an optical image capturing system of the sixth embodiment of the present invention includes, along an optical axis from an object side to an image side, a first lens  610 , a second lens  620 , an aperture  600 , a third lens  630 , a fourth lens  640 , a fifth lens  650 , an infrared rays filter  680 , an image plane  690 , and an image sensor  692 .  FIG. 6C  shows a modulation transformation of the optical image capturing system  60  of the sixth embodiment of the present application in visible spectrum, and  FIG. 6D  shows a modulation transformation of the optical image capturing system  60  of the sixth embodiment of the present application in infrared spectrum. 
     The first lens  610  has negative refractive power and is made of plastic. An object-side surface  612 , which faces the object side, is a convex aspheric surface, and an image-side surface  614 , which faces the image side, is a concave aspheric surface. The object-side surface  612  and the image-side surface  614  both have an inflection point. 
     The second lens  620  has positive refractive power and is made of plastic. An object-side surface  622  thereof, which faces the object side, is a convex aspheric surface, and an image-side surface  624  thereof, which faces the image side, is a convex aspheric surface. The object-side surface  622  has an inflection point. 
     The third lens  630  has positive refractive power and is made of plastic. An object-side surface  632 , which faces the object side, is a convex aspheric surface, and an image-side surface  634 , which faces the image side, is a convex aspheric surface. The object-side surface  632  has an inflection point. 
     The fourth lens  640  has negative refractive power and is made of plastic. An object-side surface  642 , which faces the object side, is a concave aspheric surface, and an image-side surface  644 , which faces the image side, is a convex aspheric surface. The image-side surface  644  has an inflection point. The object-side surface  642  has two inflection points, and the image-side surface  644  has an inflection point. 
     The fifth lens  650  has positive refractive power and is made of plastic. An object-side surface  652 , which faces the object side, is a convex surface, and an image-side surface  654 , which faces the image side, is a concave surface. The object-side surface  652  has two inflection points, and the image-side surface  654  has an inflection point. It may help to shorten the back focal length to keep small in size. In addition, it may reduce an incident angle of the light of an off-axis field of view and correct the aberration of the off-axis field of view. 
     The infrared rays filter  680  is made of glass and between the fifth lens  650  and the image plane  690 . The infrared rays filter  680  gives no contribution to the focal length of the system. 
     The optical image capturing system of the second embodiment satisfies |f2|+|f3|+|f4|=8.4735 mm; |f1|+|f5|=8.9495 mm; and |f2|+|f3|+|f4|&lt;|f1|+|f5|, where f2 is a focal length of the second lens  620 , f3 is a focal length of the third lens  630 , f4 is a focal length of the fourth lens  640 , and f5 is a focal length of the fifth lens  650 . 
     In the sixth embodiment, the first lens  610 , the third lens  630 , and the fourth lenses  640  are positive lenses, and their focal lengths are f1. f3. and f4. The optical image capturing system of the sixth embodiment further satisfies ΣPP=11.46338 mm; and f3/ΣPP=0.15626. where ΣPP is a sum of the focal lengths of each positive lens. It is helpful to share the positive refractive power of the third lens  630  to other positive lenses to avoid the significant aberration caused by the incident rays. 
     The optical image capturing system of the sixth embodiment further satisfies ΣNP=−5.95967 mm; and f1/ΣNP=0.56425. where ΣNP is a sum of the focal lengths of each negative lens. It is helpful to share the negative refractive power of the first lens  610  to the other negative lens to avoid the significant aberration caused by the incident rays. 
     The parameters of the lenses of the sixth embodiment are listed in Table 11 and Table 12. 
     
       
         
           
               
             
               
                 TABLE 11 
               
             
            
               
                   
               
               
                 f = 2.86808 mm; f/HEP = 2.427; HAF = 59.98930 deg 
               
            
           
           
               
               
               
               
               
               
               
            
               
                   
                 Radius of curvature 
                 Thickness 
                   
                 Refractive 
                 Abbe 
                 Focal length 
               
               
                 Surface 
                 (mm) 
                 (mm) 
                 Material 
                 index 
                 number 
                 (mm) 
               
               
                   
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                 0 
                 Object 
                 plane 
                 500 
                   
                   
                   
                   
               
               
                 1 
                 1 st  lens 
                 80 
                 0.525587 
                 plastic 
                 1.5346 
                 56.07 
                 −3.36272 
               
               
                 2 
                   
                 1.75976 
                 0.84 
               
               
                 3 
                 2 nd  lens 
                 2.50746 
                 0.482655 
                 plastic 
                 1.5346 
                 56.07 
                 4.0853 
               
               
                 4 
                   
                 −16.2005 
                 0.176572 
               
               
                 5 
                 Aperture/ 
                 3.58683 
                 1.140171 
                 plastic 
                 1.544 
                 55.9671 
                 1.79129 
               
               
                   
                 3 rd  lens 
               
               
                 6 
                   
                 −1.19312 
                 0.107572 
               
               
                 7 
                 4 th  lens 
                 −0.52484 
                 0.390937 
                 plastic 
                 1.6425 
                 22.465 
                 −2.59695 
               
               
                 8 
                   
                 −0.98628 
                 0.025 
               
               
                 9 
                 5 th  lens 
                 1.47792 
                 1.18381 
                 plastic 
                 1.544 
                 55.9671 
                 5.58679 
               
               
                 10 
                   
                 2.05696 
                 0.485665 
               
               
                 11 
                 Infrared 
                 plane 
                 0.21 
                 BK_7 
                 1.517 
                 64.13 
               
               
                   
                 rays filter 
               
               
                 12 
                   
                 plane 
                 0.912032 
               
               
                 13 
                 Image plane 
                 plane 
                 0 
               
               
                   
               
               
                 Reference wavelength: 555 nm; the position of blocking light: blocking at the second surface with effective semi diameter of 0.96 mm; blocking at the sixth surface with effective semi diameter of 0.99100243 mm; blocking at the eighth surface with effective semi diameter of 1.321298916 mm; blocking at the tenth surface with effective semi diameter of 2.491334616 mm. 
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 12 
               
               
                   
               
               
                 Coefficients of the aspheric surfaces 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                 Surface 
                 1 
                 2 
                 3 
                 4 
                 5 
                 6 
                 7 
               
               
                   
               
               
                 k 
                 −5.03000E+02 
                 2.82082E−01 
                 −2.81667E−01 
                  6.18050E+02 
                 −8.67154E+00 
                 −2.30231E+01 
                 −3.51400E+00 
               
               
                 A4 
                  1.56330E+00 
                 2.81910E−01 
                 −2.87192E−02 
                 −1.99638E−01 
                 −2.07474E−01 
                 −1.53729E+00 
                 −9.41775E−01 
               
               
                 A6 
                 −3.03630E+00 
                 −1.26529E−01  
                  1.56940E−01 
                 −7.43995E−01 
                 −4.28819E−02 
                  4.99856E+00 
                  4.93538E+00 
               
               
                 A8 
                  4.04600E+00 
                 1.05290E+00 
                 −1.44078E+00 
                  1.27258E+01 
                 −3.83914E−01 
                 −1.23474E+01 
                 −1.36981E+01 
               
               
                 A10 
                  2.58410E+00 
                 −5.79479E+00  
                  5.25994E+00 
                 −1.17552E+02 
                  1.45579E+00 
                  2.15799E+01 
                  2.45281E+01 
               
               
                 A12 
                 −2.67010E+01 
                 1.85953E+01 
                 −1.14969E+01 
                  6.44464E+02 
                 −5.01920E+00 
                 −2.58352E+01 
                 −2.88164E+01 
               
               
                 A14 
                  5.90370E+01 
                 −3.43207E+01  
                  1.33073E+01 
                 −2.16063E+03 
                  9.08970E+00 
                  2.01272E+01 
                  2.15397E+01 
               
               
                 A16 
                 −6.69520E+01 
                 3.66455E+01 
                 −9.32783E+00 
                  4.33535E+03 
                 −9.45118E+00 
                 −9.64398E+00 
                 −9.67225E+00 
               
               
                 A18 
                  3.93600E+01 
                 −2.08628E+01  
                  3.61733E+00 
                 −4.78357E+03 
                  5.61873E+00 
                  2.58796E+00 
                  2.32583E+00 
               
               
                 A20 
                 −9.46730E+00 
                 4.82551E+00 
                 −5.94958E−01 
                  2.25196E+03 
                 −1.41300E+00 
                 −3.01617E−01 
                 −2.22032E−01 
               
               
                   
               
            
           
           
               
               
               
               
               
            
               
                   
                 Surface 
                 8 
                 9 
                 10 
               
               
                   
                   
               
               
                   
                 k 
                 −3.71880E+00 
                 −1.00547E+00 
                 −1.53590E+01 
               
               
                   
                 A4 
                  1.34105E−01 
                 −2.25483E−01 
                  5.44650E+00 
               
               
                   
                 A6 
                  5.53718E−01 
                  1.72556E−01 
                 −7.42230E+01 
               
               
                   
                 A8 
                 −1.52715E+00 
                 −1.24767E−01 
                  2.51900E+02 
               
               
                   
                 A10 
                  2.13619E+00 
                  6.38251E−02 
                 −6.17910E+01 
               
               
                   
                 A12 
                 −1.84328E+00 
                 −2.11807E−02 
                 −2.63260E+03 
               
               
                   
                 A14 
                  9.95443E−01 
                  4.35764E−03 
                  9.22460E+03 
               
               
                   
                 A16 
                 −3.27089E−01 
                 −5.26526E−04 
                 −1.49020E+04 
               
               
                   
                 A18 
                  5.98985E−02 
                  3.39000E−05 
                  1.17850E+04 
               
               
                   
                 A20 
                 −4.68891E−03 
                 −8.92970E−07 
                 −3.62630E+03 
               
               
                   
                   
               
            
           
         
       
     
     An equation of the aspheric surfaces of the sixth embodiment is the same as that of the first embodiment, and the definitions are the same as well. 
     The exact parameters of the sixth embodiment based on Table 11 and Table 12 are listed in the following table: 
     
       
         
           
               
             
               
                   
               
               
                 Sixth embodiment (Reference wavelength: 555 nm) 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 ETP1 
                 ETP2 
                 ETP3 
                 ETP4 
                 ETP5 
                 BL 
               
               
                   
               
               
                 0.592  
                 0.424 
                 1.025 
                 0.468 
                 1.166 
                 1.6077  
               
               
                   
               
               
                 ETP1/TP1 
                 ETP2/TP2 
                 ETP3/TP3 
                 ETP4/TP4 
                 ETP5/TP5 
                 EBL/BL 
               
               
                   
               
               
                 1.126  
                 0.879 
                 0.899 
                 1.198 
                 0.985 
                 0.97220 
               
               
                   
               
               
                 ETL 
                 EBL 
                 EIN 
                 EIR 
                 PIR 
                 EIN/ETL 
               
               
                   
               
               
                 6.473  
                 1.563 
                 4.910 
                 0.441 
                 0.486 
                 0.759  
               
               
                   
               
               
                 SETP/EIN 
                 EIR/PIR 
                 SETP 
                 STP 
                 SETP/STP 
                 SED/SIN 
               
               
                   
               
               
                 0.749  
                 0.907 
                 3.675 
                 3.723 
                 0.987 
                 1.074  
               
               
                   
               
               
                 ED12 
                 ED23 
                 ED34 
                 ED45 
                 SED 
                 SIN 
               
               
                   
               
               
                 0.808  
                 0.212 
                 0.041 
                 0.174 
                 1.235 
                 1.149  
               
               
                   
               
               
                 ED12/IN12 
                 ED23/IN23 
                 ED34/IN34 
                 ED45/IN45 
               
               
                   
               
               
                 0.961  
                 1.203 
                 0.383 
                 6.942 
               
               
                   
               
               
                 |f/f1| 
                 |f/f2| 
                 |f/f3| 
                 |f/f4| 
                 |f/f5| 
                 |f1/f2| 
               
               
                   
               
               
                 0.66179 
                  0.54474 
                  1.24236 
                  0.85694 
                  0.39834 
                 0.82313 
               
               
                   
               
               
                 ΣPPR 
                 ΣNPR 
                 ΣPPR/|ΣNPR| 
                 IN12/f 
                 IN45/f 
                 |f2/f3| 
               
               
                   
               
               
                 2.18544 
                  1.51873 
                  1.43899 
                  0.37746 
                  0.01123 
                 2.28065 
               
               
                   
               
            
           
           
               
               
               
            
               
                 TP3/(IN23 + TP3 + IN34) 
                 (TP1 + IN12)/TP2 
                 (TP5 + IN45)/TP4 
               
               
                   
               
               
                 0.80050 
                  2.82932 
                  3.09208 
               
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 HOS 
                 InTL 
                 HOS/HOI 
                 InS/HOS 
                 ODT % 
                 TDT % 
               
               
                   
               
               
                 6.48000 
                  4.87230 
                  2.09709 
                  0.72207 
                 −20.2428  
                 20.2233  
               
               
                   
               
               
                 HVT41 
                 HVT42 
                 HVT51 
                 HVT52 
                 HVT52/HOI 
                 HVT52/HOS 
               
               
                   
               
               
                 0.00000 
                  0.93469 
                  1.64180 
                  1.79310 
                  0.53133 
                 0.25336 
               
               
                   
               
               
                 TP2/TP3 
                 TP3/TP4 
                 InRS51 
                 InRS52 
                 |InRS51|/TP5 
                 |InRS52|/TP5 
               
               
                   
               
               
                 0.42332 
                  2.91651 
                   0.285797 
                   0.0076329 
                  0.24142 
                 0.00645 
               
               
                   
               
               
                 MTFQ0 
                 MTFQ3 
                 MTFQ7 
                 MTFH0 
                 MTFH3 
                 MTFH7 
               
               
                   
               
               
                 0.87   
                 0.82  
                 0.78  
                 0.75  
                 0.6  
                 0.58   
               
               
                   
               
               
                 MTFI0 
                 MTFI3 
                 MTFI7 
               
               
                   
               
               
                 0.75   
                 0.72  
                 0.65  
               
               
                   
               
            
           
         
       
     
     The results of the equations of the sixth embodiment based on Table 11 and Table 12 are listed in the following table: 
     
       
         
           
               
             
               
                   
               
               
                 Values related to the inflection points of the sixth embodiment (Reference wavelength: 555 nm) 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                 HIF111 
                 1.47227 
                 HIF111/HOI 
                 0.47646 
                 SGI111 
                 0.31329 
                 |SGI111|/(|SGI111| + TP1) 
                 0.37346 
               
               
                 HIF121 
                 0.95363 
                 HIF121/HOI 
                 0.30862 
                 SGI121 
                 0.54047 
                 |SGI121|/(|SGI121| + TP1) 
                 0.50698 
               
               
                 HIF211 
                 0.55923 
                 HIF211/HOI 
                 0.18098 
                 SGI211 
                 0.05926 
                 |SGI211|/(|SGI211| + TP2) 
                 0.10935 
               
               
                 HIF311 
                 0.30660 
                 HIF311/HOI 
                 0.09922 
                 SGI311 
                 0.01103 
                 |SGI311|/(|SGI311| + TP3) 
                 0.00958 
               
               
                 HIF411 
                 0.55057 
                 HIF411/HOI 
                 0.17818 
                 SGI411 
                 −0.21628 
                 |SGI411|/(|SGI411| + TP4) 
                 0.35618 
               
               
                 HIF412 
                 0.79077 
                 HIF412/HOI 
                 0.25591 
                 SGI412 
                 −0.35438 
                 |SGI412|/(|SGI412| + TP4) 
                 0.47547 
               
               
                 HIF421 
                 0.44107 
                 HIF421/HOI 
                 0.14274 
                 SGI421 
                 −0.08049 
                 |SGI421|/(|SGI421| + TP4) 
                 0.17074 
               
               
                 HIF511 
                 0.73656 
                 HIF511/HOI 
                 0.23837 
                 SGI511 
                 0.13638 
                 |SGI511|/(|SGI511| + TP5) 
                 0.10330 
               
               
                 HIF512 
                 1.82902 
                 HIF512/HOI 
                 0.59192 
                 SGI512 
                 0.28955 
                 |SGI512|/(|SGI512| + TP5) 
                 0.19652 
               
               
                 HIF521 
                 0.96915 
                 HIF521/HOI 
                 0.31364 
                 SGI521 
                 0.15622 
                 |SGI521|/(|SGI521| + TP5) 
                 0.11658 
               
               
                   
               
            
           
         
       
     
     It must be pointed out that the embodiments described above are only some embodiments of the present invention. All equivalent structures which employ the concepts disclosed in this specification and the appended claims should fall within the scope of the present invention.