PATENT DOCUMENT

Abstract:
A five-piece optical lens for capturing image and a five-piece optical module for capturing image, along the optical axis in order from an object side to an image side, include a first lens with positive refractive power having a convex object-side surface; a second lens with refractive power; a third lens with refractive power; a fourth lens with refractive power; and a fifth lens with negative refractive power; and at least one of the image-side surface and object-side surface of each of the five lens elements are aspheric. The optical lens can increase aperture value and improve the imagining quality for use in compact cameras.

Full Description:
[0001]    The current application claims a foreign priority to application Ser. No. 10/410,0304 filed on Jan. 6, 2015 in Taiwan. 
       BACKGROUND OF THE INVENTION 
       [0002]    1. Technical Field 
         [0003]    The present invention relates generally to an optical system, and more particularly to a compact optical image capturing system for an electronic device. 
         [0004]    2. Description of Related Art 
         [0005]    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 ordinary photographing camera is commonly selected from charge coupled device (CCD) or complementary metal-oxide semiconductor sensor (CMOS Sensor). In addition, as advanced semiconductor manufacturing technology enables the minimization of 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. 
         [0006]    The conventional optical system of the portable electronic device usually has a three or four-piece lens. 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. An optical system with large aperture usually has several problems, such as large aberration, poor image quality at periphery of the image, and hard to manufacture. In addition, an optical system of wide-angle usually has large distortion. Therefore, the conventional optical system provides high optical performance as required. 
         [0007]    It is an important issue to increase the quantity of light entering the lens and the angle of field of the lens. In addition, the modern lens is also asked to have several characters, including high pixels, high image quality, small in size, and high optical performance. 
       BRIEF SUMMARY OF THE INVENTION 
       [0008]    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. 
         [0009]    The term and its definition to the lens parameter in the embodiment of the present are shown as below for further reference. 
         [0010]    The lens parameter related to a length or a height in the lens element: 
         [0011]    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 element to the image-side surface of the fifth lens element is denoted by InTL. A distance from the image-side surface of the fifth lens to the image plane is denoted by InB. InTL+InB=HOS. A distance from the first lens element to the second lens element is denoted by IN 12  (instance). A central thickness of the first lens element of the optical image capturing system on the optical axis is denoted by TP 1  (instance). 
         [0012]    The lens parameter related to a material in the lens: 
         [0013]    An Abbe number of the first lens element in the optical image capturing system is denoted by NA 1  (instance). A refractive index of the first lens element is denoted by Nd 1  (instance). 
         [0014]    The lens parameter related to a view angle in the lens: 
         [0015]    A view angle is denoted by AF. Half of the view angle is denoted by HAF. A major light angle is denoted by MRA. 
         [0016]    The lens parameter related to exit/entrance pupil in the lens 
         [0017]    An entrance pupil diameter of the optical image capturing system is denoted by HEP. 
         [0018]    The lens parameter related to a depth of the lens shape 
         [0019]    A distance in parallel with an optical axis from a maximum effective semi diameter position to an axial point on the object-side surface of the fifth lens is denoted by InRS 51  (instance). A distance in parallel with an optical axis from a maximum effective semi diameter position to an axial point on the image-side surface of the fifth lens is denoted by InRS 52  (instance). 
         [0020]    The lens parameter related to the lens shape: 
         [0021]    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 C 41  on the object-side surface of the fourth lens and the optical axis is HVT 41  (instance). A distance perpendicular to the optical axis between a critical point C 51  on the object-side surface of the fifth lens and the optical axis is HVT 51  (instance). A distance perpendicular to the optical axis between a critical point C 52  on the image-side surface of the fifth lens and the optical axis is HVT 52  (instance). The object-side surface of the fifth lens has one inflection point IF 511  which is nearest to the optical axis, and the sinkage value of the inflection point IF 511  is denoted by SGI 511 . A distance perpendicular to the optical axis between the inflection point IF 511  and the optical axis is HIF 511  (instance). The image-side surface of the fifth lens has one inflection point IF 521  which is nearest to the optical axis, and the sinkage value of the inflection point IF 521  is denoted by SGI 521  (instance). A distance perpendicular to the optical axis between the inflection point IF 521  and the optical axis is HIF 521  (instance). The object-side surface of the fifth lens has one inflection point IF 512  which is the second nearest to the optical axis, and the sinkage value of the inflection point IF 512  is denoted by SGI 512  (instance). A distance perpendicular to the optical axis between the inflection point IF 512  and the optical axis is HIF 512  (instance). The image-side surface of the fifth lens has one inflection point IF 522  which is the second nearest to the optical axis, and the sinkage value of the inflection point IF 522  is denoted by SGI 522  (instance). A distance perpendicular to the optical axis between the inflection point IF 522  and the optical axis is HIF 522  (instance). 
         [0022]    The lens element parameter related to an aberration: 
         [0023]    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. 
         [0024]    The present invention provides an optical image capturing system, in which the fifth lens is provided with an inflection point at the object-side surface or at the image-side surface to adjust the incident angle of each view field and modify the ODT and the TDT. In addition, the surfaces of the fifth lens are capable of modifying the optical path to improve the imagining quality. 
         [0025]    The optical image capturing system of the present invention includes a first lens, a second lens, a third lens, a fourth lens, and a fifth lens in order along an optical axis from an object side to an image side. The first lens has positive refractive power, and the fifth 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: 
         [0000]      1.2≦ f/HEP≦ 3.0 and 0.5≦ HOS/f≦ 3.0;
 
         [0026]    where f is a focal length of the optical image capturing system; HEP is an entrance pupil diameter of the optical image capturing system; and 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. 
         [0027]    The present invention further provides an optical image capturing system, including a first lens, a second lens, a third lens, a fourth lens, and a fifth lens in order along an optical axis from an object side to an image side. The first lens has positive refractive power, and both the object-side surface and the image side surface thereof are aspheric surfaces. The second lens has negative refractive power, and the third and the fourth lenses have refractive power. The fifth lens has negative refractive power, and both an object-side surface and an image side surface thereof are aspheric surfaces. The optical image capturing system satisfies: 
         [0000]      1.2≦ f/HEP≦ 3.0; 0.4≦| tan( HAF )|≦3.0; 0.5≦ HOS/f≦ 3.0; | TDT|&lt; 60%; and
 
         [0000]      | ODT|≦ 50%; 
         [0028]    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; HAF is a half of the view angle of the optical image capturing system; TDT is a TV distortion; and ODT is an optical distortion. 
         [0029]    The present invention further provides an optical image capturing system, including a first lens, a second lens, a third lens, a fourth lens, and a fifth lens in order along an optical axis from an object side to an image side. At least two of these five lenses each has at least an inflection point on a side thereof. The first lens has positive refractive power, and both an object-side surface and an image side surface thereof are aspheric surfaces. The second and the third lens have refractive power, and the fourth lens has positive refractive power. The fifth lens has negative refractive power, and both an object-side surface and an image side surface thereof are aspheric surfaces. The optical image capturing system satisfies: 
         [0000]      1.2≦ f/HEP≦ 3.0; 0.4≦| tan( HAF )|≦ 3 . 0 ;  0 . 5 ≦ HOS/f≦ 3.0; | TDT|&lt; 60%; and
 
         [0000]      | ODT|≦ 50%; 
         [0030]    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; HAF is a half of the view angle of the optical image capturing system; TDT is a TV distortion; and ODT is an optical distortion. 
         [0031]    In an embodiment, the optical image capturing system further includes an image sensor with a size less than 1/1.2″ in diagonal, and a pixel less than 1.4 μm. A preferable pixel size of the image sensor is less than 1.2 μm, and more preferable pixel size is less than 0.9 μm. A 16:9 image sensor is available for the optical image capturing system of the present invention. 
         [0032]    In an embodiment, the optical image capturing system of the present invention is available to high-quality (4K and 2K, so called UHD and QHD) recording, and provides high quality of image. 
         [0033]    In an embodiment, a height of the optical image capturing system (HOS) can be reduced while |f 1 |&gt;f 5 . 
         [0034]    In an embodiment, when the lenses satisfy |f 2 |+|f 3 |+|f 4 |&gt;|f 1 |+|f 5 |, at least one of the lenses from the second lens to the fourth lens could have weak positive refractive power or weak negative refractive power. The weak refractive power indicates that an absolute value of the focal length is greater than 10. When at least one of the lenses from the second lens to the fourth lens could have weak positive refractive power, it may share the positive refractive power of the first lens, and on the contrary, when at least one of the lenses from the second lens to the fourth lens could have weak negative refractive power, it may finely modify the aberration of the system. 
         [0035]    In an embodiment, the fifth lens has negative refractive power, and an image-side surface thereof is concave, it may reduce back focal length and size. Besides, the fifth lens has at least an inflection point on a surface thereof, which may reduce an incident angle of the light of an off-axis field of view and modify the aberration of the off-axis field of view. It is preferable that both surfaces of the fifth lens have at least an inflection point on a surface thereof. 
     
    
     
       BRIEF DESCRIPTION OF THE SEVERAL VIEWS OF THE DRAWINGS 
         [0036]    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 
           [0037]      FIG. 1A  is a schematic diagram of a first preferred embodiment of the present invention; 
           [0038]      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; 
           [0039]      FIG. 1C  shows a curve diagram of TV distortion of the optical image capturing system of the first embodiment of the present application; 
           [0040]      FIG. 2A  is a schematic diagram of a second preferred embodiment of the present invention; 
           [0041]      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; 
           [0042]      FIG. 2C  shows a curve diagram of TV distortion of the optical image capturing system of the second embodiment of the present application; 
           [0043]      FIG. 3A  is a schematic diagram of a third preferred embodiment of the present invention; 
           [0044]      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; 
           [0045]      FIG. 3C  shows a curve diagram of TV distortion of the optical image capturing system of the third embodiment of the present application; 
           [0046]      FIG. 4A  is a schematic diagram of a fourth preferred embodiment of the present invention; 
           [0047]      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; 
           [0048]      FIG. 4C  shows a curve diagram of TV distortion of the optical image capturing system of the fourth embodiment of the present application; 
           [0049]      FIG. 5A  is a schematic diagram of a fifth preferred embodiment of the present invention; 
           [0050]      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; and 
           [0051]      FIG. 5C  shows a curve diagram of TV distortion of the optical image capturing system of the fifth embodiment of the present application. 
       
    
    
     DETAILED DESCRIPTION OF THE INVENTION 
       [0052]    An optical image capturing system of the present invention includes a first lens, a second lens, a third lens, a forth lens, and a fifth lens from an object side to an image side. The optical image capturing system further is provided with an image sensor at an image plane. 
         [0053]    The optical image capturing system works in three wavelengths, including 486.1 nm, 510 nm, 587.5 nm, and 656.2 nm, wherein 587.5 nm is the main reference wavelength, and 555 nm is the reference wavelength for obtaining the technical characters. 
         [0054]    The optical image capturing system of the present invention satisfies 0.5≦ΣPPR/|ΣNPR|≦2.5, and a preferable range is 1≦ΣPPR/|ΣNPR|≦2.0, where PPR is a ratio of the focal length f of the optical image capturing system to a focal length fp of each of lenses with positive refractive power; NPR is a ratio of the focal length f of the optical image capturing system to a focal length fp of each of lenses with negative refractive power; and ΣNPR is a sum of the PNRs of each negative lens. It is helpful to control of an entire refractive power and an entire length of the optical image capturing system. 
         [0055]    HOS is a height of the optical image capturing system, and when the ratio of HOS/f approaches to 1, it is helpful to decrease of size and increase of imaging quality. 
         [0056]    In an embodiment, the optical image capturing system of the present invention satisfies 0&lt;ΣPP≦200 and f 1 /ΣPP≦0.85, and a preferable range is 0&lt;ΣPP≦150 and 0.01≦f 1 /ΣPP≦0.6, where ΣPP is a sum of a focal length fp of each lens with positive refractive power, and ΣNP is a sum of a focal length fp of each lens with negative refractive power. It is helpful to control of focusing capacity of the system and redistribution of the positive refractive powers of the system to avoid the significant aberration in early time. The optical image capturing system further satisfies ΣNP&lt;-0.1 and 0.01≦f 5 /ΣNP≦0.5, and a preferable range is ΣNP≦0 and 0.01≦f 5 /ΣNP≦0.5, which is helpful to control of an entire refractive power and an entire length of the optical image capturing system. 
         [0057]    The first lens has positive refractive power, and an object-side surface, which faces the object side, thereof is convex. It may modify the positive refractive power of the first lens as well as shorten the entire length of the system. 
         [0058]    The second lens has negative refractive power, which may correct the aberration power of the first lens. 
         [0059]    The third lens has negative refractive power, which may correct the aberration of the first lens. 
         [0060]    The fourth lens has positive refractive power, and an image-side surface thereof, which faces the image side, is convex. The fourth lens may share the positive refractive power of the first lens to reduce an increase of the aberration and reduce a sensitivity of the system. 
         [0061]    The fifth lens has negative refractive power, and an image-side surface thereof, which faces the image side, is concave. It may shorten a rear focal length to reduce the size of the system. In addition, the fifth lens is provided with at least an inflection point on at least a surface to reduce an incident angle of the light of an off-axis field of view and modify the aberration of the off-axis field of view. It is preferable that each surface, the object-side surface and the image-side surface, of the fifth lens has at least an inflection point. 
         [0062]    The image sensor is provided on the image plane. The optical image capturing system of the present invention satisfies HOS/HOI≦3 and 0.5≦HOS/f≦3.0, and a preferable range is 1≦HOS/HOI≦2.5 and 1≦HOS/f≦2, where HOI is height for image formation of the optical image capturing system, 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 to reduction of size of the system for used in compact cameras. 
         [0063]    The optical image capturing system of the present invention further is provided with an aperture to increase image quality. 
         [0064]    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 0.6≦InS/HOS≦1.1, and a preferable range is 0.8≦InS/HOS≦1, where InS is a distance between the aperture and the image plane. It is helpful to size reduction and wide angle. 
         [0065]    The optical image capturing system of the present invention satisfies 0.45≦ΣTP/InTL≦0.95, 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 to the contrast of image and yield rate of manufacture, and provides a suitable back focal length for installation of other elements. 
         [0066]    The optical image capturing system of the present invention satisfies 0.1≦|R 1 /R 2 |≦5, and a preferable range is 0.1≦|R 1 /R 2 |≦4, where R 1  is a radius of curvature of the object-side surface of the first lens, and R 2  is a radius of curvature of the image-side surface of the first lens. It provides the first lens with a suitable refractive power to reduce the increase rate of the spherical aberration. 
         [0067]    The optical image capturing system of the present invention satisfies −200&lt;(R 9 −R 10 )/(R 9 +R 10 )&lt;30, where R 9  is a radius of curvature of the object-side surface of the fifth lens, and R 10  is a radius of curvature of the image-side surface of the fifth lens. It may modify the astigmatic field curvature. 
         [0068]    The optical image capturing system of the present invention satisfies 0&lt;|N 12 /f≦0.25, and a preferable range is 0.01≦IN 12 /f≦0.20, where IN 12  is a distance on the optical axis between the first lens and the second lens. It may correct chromatic aberration and improve the performance. 
         [0069]    The optical image capturing system of the present invention satisfies 1≦(TP 1 +IN 12 )/TP 2 ≦10, where TP 1  is a central thickness of the first lens on the optical axis, and TP 2  is a central thickness of the second lens on the optical axis. It may control the sensitivity of manufacture of the system and improve the performance. 
         [0070]    The optical image capturing system of the present invention satisfies 0.2≦(TP 5 +IN 45 )/TP 4 ≦3, where TP 4  is a central thickness of the fourth lens on the optical axis, TP 5  is a central thickness of the fifth lens on the optical axis, and IN 45  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. 
         [0071]    The optical image capturing system of the present invention satisfies 0.1≦(TP 2 +TP 3 +TP 4 )/Σ TP≦0.9, and a preferable range is 0.4≦(TP 2 +TP 3 +TP 4 )/Σ TP≦0.8, where TP 2  is a central thickness of the second lens on the optical axis, TP 3  is a central thickness of the third lens on the optical axis, TP 4  is a central thickness of the fourth lens on the optical axis, TP 5  is a central thickness of the fifth lens on the optical axis, and ΣTP is a sum of the central thicknesses of all the lenses on the optical axis. It may finely modify the aberration of the incident rays and reduce the height of the system. 
         [0072]    The optical image capturing system of the present invention satisfies 0≦|nRS 11 |+|InRS 12 |≦2 mm; and 1.01≦(|InRS 11 |+TP 1 +|InRS 12 |)/TP 1 ≦3, where InRS 11  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 a point at the maximum effective semi diameter of the object-side surface of the first lens, wherein InRS 11  is positive while the displacement is toward the image side, and InRS 11  is negative while the displacement is toward the object side; InRS 12  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 a point at the maximum effective semi diameter of the image-side surface of the first lens; and TP 1  is a central thickness of the first lens on the optical axis. It may control a ratio of the central thickness of the first lens and the effective semi diameter thickness (thickness ratio) to increase the yield rate of manufacture. 
         [0073]    The optical image capturing system of the present invention satisfies 0≦|InRS 21 |+|InRS 22 |≦2 mm; and 1.01≦(|InRS 21 |+TP 2 +|InRS 22 |)/TP 2 ≦5, where InRS 21  is 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 a point at the maximum effective semi diameter of the object-side surface of the first lens; InRS 22  is 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 a point at the maximum effective semi diameter of the image-side surface of the second lens; and TP 2  is a central thickness of the second lens on the optical axis. It may control a ratio of the central thickness of the second lens and the effective semi diameter thickness (thickness ratio) to increase the yield rate of manufacture. 
         [0074]    The optical image capturing system of the present invention satisfies 0≦|InRS 31 |+|InRS 32 |≦2 mm; and 1.01≦(|InRS 31 |+TP 3 +|InRS 32 |)/TP 3 ≦10, where InRS 31  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 a point at the maximum effective semi diameter of the object-side surface of the first lens; InRS 32  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 a point at the maximum effective semi diameter of the image-side surface of the third lens; and TP 3  is a central thickness of the third lens on the optical axis. It may control a ratio of the central thickness of the third lens and the effective semi diameter thickness (thickness ratio) to increase the yield rate of manufacture. 
         [0075]    The optical image capturing system of the present invention satisfies 0≦|InRS 41 |+|InRS 42 |≦2 mm; and 1.01≦(|InRS 41 |+TP 4 +|InRS 42 |)/TP 4 ≦10, where InRS 41  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 a point at the maximum effective semi diameter of the object-side surface of the first lens; InRS 42  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 a point at the maximum effective semi diameter of the image-side surface of the fourth lens; and TP 4  is a central thickness of the fourth lens on the optical axis. It may control a ratio of the central thickness of the fourth lens and the effective semi diameter thickness (thickness ratio) to increase the yield rate of manufacture. 
         [0076]    The optical image capturing system of the present invention satisfies 0≦|InRS 51 |+|InRS 52 |≦3 mm; and 1.01≦(|InRS 51 |+TP 5 +|InRS 52 |)/TP 5 ≦20, where InRS 51  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 a point at the maximum effective semi diameter of the object-side surface of the first lens; InRS 52  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 a point at the maximum effective semi diameter of the image-side surface of the fifth lens; and TP 5  is a central thickness of the fifth lens on the optical axis. It may control a ratio of the central thickness of the fifth lens and the effective semi diameter thickness (thickness ratio) to increase the yield rate of manufacture. 
         [0077]    The optical image capturing system of the present invention satisfies 0&lt;Σ|InRS|≦15 mm, where Σ|InRS| is of an sum of absolute values of the displacements in parallel with the optical axis of each lens with refractive power from the central point to the point at the maximum effective radius, i.e. Σ|InRS|=InRSO+InRSI while InRSO is of a sum of absolute values of the displacements in parallel with the optical axis of each lens with refractive power from the central point on the object-side surface to the point at the maximum effective semi diameter of the object-side surface, i.e. InRSO=|InRS 11 |+|InRS 21 |+|InRS 31 |+|InRS 41 |+|InRS 1 | and InRSI is of a sum of absolute values of the displacements in parallel with the optical axis of each lens with refractive power from the central point on the image-side surface to the point at the maximum effective semi diameter of the image-side surface, i.e. InRS|=|InRS 12 |+|InRS 22 |+|InRS 32 |+|InRS 42 |+|InRS 52 |. It may increase the capability of modifying the off-axis view field aberration of the system. 
         [0078]    The optical image capturing system of the present invention satisfies 0&lt;Σ|InRS|/InTL≦3 and 0&lt;Σ|InRS|/HOS≦2. It may reduce the total height of the system as well as efficiently increase the capability of modifying the off-axis view field aberration of the system. 
         [0079]    The optical image capturing system of the present invention satisfies 0&lt;|InRS 41 |+|InRS 42 |+|InRS 51 |+|InRS 52 |≦5 mm; 0&lt;(|InRS 41 |+|InRS 42 |+|InRS 51 |+|InRS 52 |)/InTL≦2; and &lt;(|InRS 41 |+|InRS 42 |+|InRS 51 |+|InRS 52 |)/HOS≦2. It could increase the yield rate of manufacture of the two lenses, which are the first and the second closest to the image side, and increase the capability of modifying the off-axis view field aberration of the system. 
         [0080]    The optical image capturing system of the present invention satisfies HVT 41 ≧0 mm and HVT 42 ≧0 mm, where HVT 41  a distance perpendicular to the optical axis between the inflection point on the object-side surface of the fourth lens and the optical axis; and HVT 42  a distance perpendicular to the optical axis between the inflection point on the image-side surface of the fourth lens and the optical axis. It may efficiently modify the off-axis view field aberration of the system. 
         [0081]    The optical image capturing system of the present invention satisfies HVT 51 ≧0 mm and HVT 52 ≧0 mm, where HVT 51  a distance perpendicular to the optical axis between the inflection point on the object-side surface of the fifth lens and the optical axis; and HVT 52  a distance perpendicular to the optical axis between the inflection point on the image-side surface of the fifth lens and the optical axis. It may efficiently modify the off-axis view field aberration of the system. 
         [0082]    The optical image capturing system of the present invention satisfies 0.2≦HVT 52 /HOI≦0.9, and preferable is 0.3≦HVT 52 /HOI≦0.8. It is helpful to correction of the aberration of the peripheral view field. 
         [0083]    The optical image capturing system of the present invention satisfies 0≦HVT 52 /HOS≦0.5, and preferable is 0.2≦HVT 52 /HOS≦0.45. It is helpful to correction of the aberration of the peripheral view field. 
         [0084]    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 to correction of aberration of the system. 
         [0085]    An equation of aspheric surface is 
         [0000]        z=ch   2 /[1+[1( k+ 1) c   2   h   2 ] 0.5   ]+A 4 h   4   +A 6 h   6   +A 8 h   8   +A 10 h   10   +A 12 h   12   +A 14 h   14   +A  16 h   16   +A 18 h   18   +A 20 h   20   (1)
 
         [0086]    where z is a depression of the aspheric surface; k is conic constant; c is reciprocal of radius of curvature; and A4, A6, A8, A10, A12, A14, A16, A18, and A20 are high-order aspheric coefficients. 
         [0087]    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 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 that is helpful to reduction of the height of the system. 
         [0088]    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. 
         [0089]    The optical image capturing system of the present invention further is provided with a diaphragm to increase image quality. 
         [0090]    In the optical image capturing system, the diaphragm could be a front diaphragm or a middle diaphragm, wherein the front diaphragm is provided between the object and the first lens, and the middle is provided between the first lens and the image plane. The front diaphragm provides a long distance between an exit pupil of the system and the image plane, which allows more elements to be installed. The middle diaphragm could enlarge a view angle of view of the system and increase the efficiency of the image sensor. The middle diaphragm is helpful to size reduction and wide angle. 
         [0091]    The optical image capturing system of the present invention could be applied in dynamic focusing optical system. It is superior in correction of aberration and high imaging quality so that it could be allied in lots of fields. 
         [0092]    We provide several embodiments in conjunction with the accompanying drawings for the best understanding, which are: 
       First Embodiment 
       [0093]    As shown in  FIG. 1A  and  FIG. 1B , an optical image capturing system  100  of the first preferred embodiment of the present invention includes, along an optical axis from an object side to an image side, an aperture  100 , a first lens  110 , a second lens  120 , a third lens  130 , a fourth lens  140 , a fifth lens  150 , an infrared rays filter  170 , an image plane  180 , and an image sensor  190 . 
         [0094]    The first lens  110  has positive 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, and the image-side surface has an inflection point. The first lens  110  satisfies SGI 121 =0.0387148 mm and |SGI 1211 /(|SGI 121 |+TP 1 )=0.061775374, where SGI 121  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. 
         [0095]    The first lens  110  further satisfies HIF 121 =0.61351 mm and HIF 121 /HOI=0.209139253, where HIF 121  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. 
         [0096]    The second lens  120  has negative refractive power, and is made of plastic. An object-side surface  122  thereof, which faces the object side, is a concave aspheric surface, and an image-side surface  124  thereof, which faces the image side, is a convex aspheric surface, and the image-side surface  124  has an inflection point. The second lens  120  satisfies SGI 221 =−0.0657553 mm and |SGI 221 |/(|SGI 221 |+TP 2 )=0.176581512, where SGI 221  is 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. 
         [0097]    The second lens further satisfies HIF 221 =0.84667 mm and HIF 221 /HOI=0.288621101, where HIF 221  is 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. 
         [0098]    The third lens  130  has negative refractive power, and is made of plastic. An object-side surface  132 , which faces the object side, is a concave aspheric surface, and an image-side surface  134 , which faces the image side, is a convex aspheric surface, and each of them has two inflection points. The third lens  130  satisfies SGI 311 =−0.341027 mm; SGI 321 =−0.231534 mm and |SGI 311 |/(|SGI 311 |+TP 3 )=0.525237108 and |SGI 321 |/(|SGI 321 |+TP 3 )=0.428934269, where SGI 311  is a displacement in parallel with the optical axis, from a point on the object-side surface of the third lens, through which the optical axis passes, to the inflection point on the object-side surface, which is the closest to the optical axis, and SGI 321  is a displacement in parallel with the optical axis, from a point on the image-side surface of the third lens, through which the optical axis passes, to the inflection point on the image-side surface, which is the closest to the optical axis. 
         [0099]    The third lens  130  satisfies SGI 312 =−0.376807 mm; SGI 322 =−0.382162 mm; |SGI 312 |/(|SGI 312 |+TP 5 )=0.550033428; |SGI 322 |/(|SGI 322 |+TP 3 )=0.55352345, where SGI 312  is a displacement in parallel with the optical axis, from a point on the object-side surface of the third lens, through which the optical axis passes, to the inflection point on the object-side surface, which is the second closest to the optical axis, and SGI 322  is a displacement in parallel with the optical axis, from a point on the image-side surface of the third lens, through which the optical axis passes, to the inflection point on the image-side surface, which is the second closest to the optical axis. 
         [0100]    The third lens  130  further satisfies HIF 311 =0.987648 mm; HIF 321 =0.805604 mm; HIF 311 /HOI=0.336679052; and HIF 321 /HOI=0.274622124, where HIF 311  is a distance perpendicular to the optical axis between the inflection point on the object-side surface of the third lens, which is the closest to the optical axis, and the optical axis, and HIF 321  is a distance perpendicular to the optical axis between the inflection point on the image-side surface of the third lens, which is the closest to the optical axis, and the optical axis. 
         [0101]    The third lens  130  further satisfies HIF 312 =1.0493 mm; HIF 322 =1.17741 mm; HIF 312 /HOI=0.357695585; and HIF 322 /HOI=0.401366968, where HIF 312  is a distance perpendicular to the optical axis between the inflection point on the object-side surface of the third lens, which is the second the closest to the optical axis, and the optical axis, and HIF 322  is a distance perpendicular to the optical axis, between the inflection point on the image-side surface of the third lens, which is the second the closest to the optical axis, and the optical axis. 
         [0102]    The fourth lens  140  has positive refractive power, and is made of plastic. Both an object-side surface  142 , which faces the object side, and an image-side surface  144 , which faces the image side, thereof are convex aspheric surfaces, and the object-side surface  142  has an inflection point. The fourth lens  140  satisfies SGI 411 =0.0687683 mm and |SGI 411 |/(|SGI 411 |+TP 4 )=0.118221297, where SGI 411  is a displacement in parallel with the optical axis from a point on the object-side surface of the fourth lens, through which the optical axis passes, to the inflection point on the object-side surface, which is the closest to the optical axis. 
         [0103]    The fourth lens  140  further satisfies HIF 411 =0.645213 mm and HIF 411 /HOI=0.21994648, where HIF 411  is a distance perpendicular to the optical axis between the inflection point on the object-side surface of the fourth lens, which is the closest to the optical axis, and the optical axis. 
         [0104]    The fifth lens  150  has negative refractive power, and is made of plastic. Both an object-side surface  152 , which faces the object side, and an image-side surface  154 , which faces the image side, thereof are concave aspheric surfaces. The object-side surface  152  has three inflection points, and the image-side surface  154  has an inflection point. The fifth lens  150  satisfies SGI 511 =−0.236079 mm; SGI 521 =0.023266 mm; |SGI 511 |/(|SGI 511 |+TP 5 )=0.418297214; and |SGI 521 |/(|SGI 521 |+TP 5 )=0.066177809, where SGI 511  is a displacement in parallel with the optical axis, from a point on the object-side surface of the fifth lens, through which the optical axis passes, to the inflection point on the object-side surface, which is the closest to the optical axis, and SGI 521  is a displacement in parallel with the optical axis, from a point on the image-side surface of the fifth lens, through which the optical axis passes, to the inflection point on the image-side surface, which is the closest to the optical axis. 
         [0105]    The fifth lens  150  further satisfies SGI 512 =−0.325042 mm and |SGI 512 |/(|SGI 512 |+TP 5 )=0.497505143, where SGI 512  is a displacement in parallel with the optical axis, from a point on the object-side surface of the fifth lens, through which the optical axis passes, to the inflection point on the object-side surface, which is the second closest to the optical axis. 
         [0106]    The fifth lens  150  further satisfies SGI 513 =−0.538131 mm; and |SGI 513 |/(|SGI 513 |+TP 5 )=0.621087839, where SGI 513  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 third closest to the optical axis. 
         [0107]    The fifth lens  150  further satisfies HIF 511 =1.21551 mm; HIF 521 =0.575738 mm; HIF 511 /HOI=0.414354866; and HIF 521 /HOI=0.196263167, where HIF 511  is a distance perpendicular to the optical axis between the inflection point on the object-side surface of the fifth lens, which is the closest to the optical axis, and the optical axis, and HIF 521  is a distance perpendicular to the optical axis between the inflection point on the image-side surface of the fifth lens, which is the closest to the optical axis, and the optical axis. 
         [0108]    The fifth lens  150  further satisfies HIF 512 =1.49061 mm and HIF 512 /HOI=0.508133629, where HIF 512  is a distance perpendicular to the optical axis between the inflection point on the object-side surface of the fifth lens, which is the second the closest to the optical axis, and the optical axis. 
         [0109]    The fifth lens  150  further satisfies HIF 513 =2.00664 mm and HIF 513 /HOI=0.684042952, where HIF 513  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. 
         [0110]    The infrared rays filter  170  is made of glass, and between the fifth lens  150  and the image plane  180 . The infrared rays filter  170  gives no contribution to the focal length of the system. 
         [0111]    The optical image capturing system of the first preferred embodiment has the following parameters, which are f=3.73172 mm; f/HEP=2.05; and HAF=37.5 degrees and tan(HAF)=0.7673, 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. 
         [0112]    The parameters of the lenses of the first preferred embodiment are f 1 =3.7751 mm; |f/f 1 |=0.9885; f 5 =−3.6601 mm; |f 1 |&gt;f 5 ; and |f 1 /f 5 |=1.0314, where f 1  is a focal length of the first lens  110 ; and f 5  is a focal length of the fifth lens  150 . 
         [0113]    The first preferred embodiment further satisfies |f 2 |+|f 3 |+|f 4 |=77.3594 mm; |f 1 |+|f 5 |=7.4352 mm; and |f 2 |+|f 3 |+|f 4 |&gt;|f 1 |+|f 5 |, where f 2  is a focal length of the second lens  120 ; f 3  is a focal length of the third lens  130 ; and f 4  is a focal length of the fourth lens  140 . 
         [0114]    The optical image capturing system of the first preferred embodiment further satisfies ΣPPR=f/f 1 +f/f 4 =1.9785; ΣNPR=f/f 2 +f/f 3 +f/f 5 =−1.2901; ΣPPR/|ΣNPR|=1.5336; |f/f 1 |=0.9885; |f/f 2 |=0.0676; |f/f 3 |=0.2029; |f/f 4 |=0.9900; and |f/f 5 |=1.0196, 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 fp of each of lenses with negative refractive power. 
         [0115]    The optical image capturing system of the first preferred embodiment further satisfies InTL+InB=HOS; HOS=4.5 mm; HOI=2.9335 mm; HOS/HOI=1.5340; HOS/f=1.2059; Intl/HOS=0.7597; and InS=4.19216 mm, 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  180 ; InS is a distance between the aperture  100  and the image plane  180 ; HOI is height for image formation of the optical image capturing system, i.e., the maximum image height; and InB is a distance between the image-side surface  154  of the fifth lens  150  and the image plane  180 . 
         [0116]    The optical image capturing system of the first preferred embodiment further satisfies ΣTP=2.044092 mm and ΣTP/InTL=0.5979, where ΣTP is a sum of the thicknesses of the lenses  110 - 150  with refractive power. It is helpful to the contrast of image and yield rate of manufacture, and provides a suitable back focal length for installation of other elements. 
         [0117]    The optical image capturing system of the first preferred embodiment further satisfies |R 1 /R 2 |=0.3261, where R 1  is a radius of curvature of the object-side surface  112  of the first lens  110 , and R 2  is a radius of curvature of the image-side surface  114  of the first lens  110 . It provides the first lens with a suitable refractive power to reduce the increase rate of the spherical aberration. 
         [0118]    The optical image capturing system of the first preferred embodiment further satisfies (R 9 −R 10 )/(R 9 +R 10 )=−2.9828, where R 9  is a radius of curvature of the object-side surface  152  of the fifth lens  150 , and R 10  is a radius of curvature of the image-side surface  154  of the fifth lens  150 . It may modify the astigmatic field curvature. 
         [0119]    The optical image capturing system of the first preferred embodiment further satisfies ΣPP=f 1 +f 4 =7.5444 mm and f 1 /(f 1 +f 4 )=0.5004, 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 first lens  110  to the other positive lenses to avoid the significant aberration caused by the incident rays. 
         [0120]    The optical image capturing system of the first preferred embodiment further satisfies ΣNP=f 2 +f 3 +f 5 =−77.2502 mm and f 5 /(f 2 +f 3 +f 5 )=0.0474, where f 2 , f 3 , and f 5  are focal lengths of the second, the third, and the fifth lenses, and ΣNP is a sum of the focal lengths fp 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 lenses to avoid the significant aberration caused by the incident rays. 
         [0121]    The optical image capturing system of the first preferred embodiment further satisfies IN 12 =0.511659 mm and IN 12 /f=0.1371, where IN 12  is a distance on the optical axis between the first lens  110  and the second lens  120 . It may correct chromatic aberration and improve the performance. 
         [0122]    The optical image capturing system of the first preferred embodiment further satisfies TP 1 =0.587988 mm; TP 2 =0.306624 mm; and (TP 1 +IN 12 )/TP 2 =3.5863, where TP 1  is a central thickness of the first lens  110  on the optical axis, and TP 2  is a central thickness of the second lens  120  on the optical axis. It may control the sensitivity of manufacture of the system and improve the performance. 
         [0123]    The optical image capturing system of the first preferred embodiment further satisfies TP 4 =0.5129 mm; TP 5 =0.3283 mm; and (TP 5 +IN 45 )/TP 4 =1.5095, where TP 4  is a central thickness of the fourth lens  140  on the optical axis, TP 5  is a central thickness of the fifth lens  150  on the optical axis, and IN 45  is a distance on the optical axis between the fourth lens and the fifth lens. It may control the sensitivity of manufacture of the system and improve the performance. 
         [0124]    The optical image capturing system of the first preferred embodiment further satisfies TP 3 =0.3083 mm and (TP 2 +TP 3 +TP 4 )/ΣTP=0.5517, where TP 2 , TP 3 , and TP 4  are thicknesses on the optical axis of the second, the third, and the fourth lenses, and ΣTP is a sum of the central thicknesses of all the lenses with refractive power on the optical axis. It may finely modify the aberration of the incident rays and reduce the height of the system. 
         [0125]    The optical image capturing system of the first preferred embodiment |InRS 11 |=0.307838 mm; |InRS 12 |=0.0527214 mm; TP 1 =0.587988 mm; and (|InRS 11 |+TP 1 +|InRS 12 |)/TP 1 =1.613208773, where InRS 11  is a displacement in parallel with the optical axis from a point on the object-side surface  112  of the first lens, through which the optical axis passes, to a point at the maximum effective semi diameter of the object-side surface  112  of the first lens; InRS 12  is a displacement in parallel with the optical axis from a point on the image-side surface  114  of the first lens, through which the optical axis passes, to a point at the maximum effective semi diameter of the image-side surface  114  of the first lens; and TP 1  is a central thickness of the first lens  110  on the optical axis. It may control a ratio of the central thickness of the first lens and the effective semi diameter thickness (thickness ratio) to increase the yield rate of manufacture. 
         [0126]    The optical image capturing system of the first preferred embodiment |InRS 21 |=0.165699 mm; |InRS 22 |=0.0788662 mm; TP 2 =0.306624 mm; and (|InRS 21 |+TP 2 +|InRS 22 |)/TP 2 =1.797606189, where InRS 21  is a displacement in parallel with the optical axis from a point on the object-side surface  122  of the second lens, through which the optical axis passes, to a point at the maximum effective semi diameter of the object-side surface  122  of the second lens; InRS 22  is a displacement in parallel with the optical axis from a point on the image-side surface  124  of the second lens, through which the optical axis passes, to a point at the maximum effective semi diameter of the image-side surface  124  of the second lens; and TP 2  is a central thickness of the second lens  120  on the optical axis. It may control a ratio of the central thickness of the second lens and the effective semi diameter thickness (thickness ratio) to increase the yield rate of manufacture. 
         [0127]    The optical image capturing system of the first preferred embodiment |InRS 31 |=0.383103 mm; |InRS 32 |=−0.411894 mm; TP 3 =0.308255 mm; and (|InRS 31 |+TP 3 +|InRS 32 |)/TP 3 =3.57902386, where InRS 31  is a displacement in parallel with the optical axis from a point on the object-side surface  132  of the third lens, through which the optical axis passes, to a point at the maximum effective semi diameter of the object-side surface  132  of the third lens; InRS 32  is a displacement in parallel with the optical axis from a point on the image-side surface  134  of the third lens, through which the optical axis passes, to a point at the maximum effective semi diameter of the image-side surface  134  of the third lens; and TP 3  is a central thickness of the third lens  130  on the optical axis. It may control a ratio of the central thickness of the third lens and the effective semi diameter thickness (thickness ratio) to increase the yield rate of manufacture. 
         [0128]    The optical image capturing system of the first preferred embodiment |InRS 41 |=0.0384 mm; |InRS 42 |=0.263634 mm; TP 4 =0.512923 mm; (|InRS 41 |+TP 4 +|InRS 42 |)/TP 4 =1.588848619, where InRS 41  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; InRS 42  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 TP 4  is a central thickness of the fourth lens  140  on the optical axis. It may control a ratio of the central thickness of the fourth lens and the effective semi diameter thickness (thickness ratio) to increase the yield rate of manufacture. 
         [0129]    The optical image capturing system of the first preferred embodiment further satisfies |InRS 51 |=0.576871 mm; |InRS 52 |=0.555284 mm; TP 5 =0.328302 mm; and (|InRS 51 |+TP 5 +|InRS 52 |)/TP 5 =4.448516914, where InRS 51  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; InRS 52  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 TP 5  is a central thickness of the fifth lens  150  on the optical axis. It may control the positions of the maximum effective semi diameteron both surfaces of the fifth lens, correct the aberration of the spherical field of view, and reduce the size. 
         [0130]    The optical image capturing system of the first preferred embodiment satisfies InRSO=1.471911 mm; InRS|=1.3623996 mm; and Σ|InRS 1 =2.8343106 mm, where InRSO is of a sum of absolute values of the displacements in parallel with the optical axis of each lens with refractive power from the central point on the object-side surface to the point at the maximum effective semi diameter of the object-side surface, i.e. InRSO=|InRS 11 |+|InRS 21 |+|InRS 31 |+|InRS 41 |+|InRS 51 |; InRSI is of a sum of absolute values of the displacements in parallel with the optical axis of each lens with refractive power from the central point on the image-side surface to the point at the maximum effective semi diameter of the image-side surface, i.e. InRSI=|InRS 12 |+|InRS 22 |+|InRS 32 |+|InRS 42 |+|InRS 52 |; and Σ|InRS| is of an sum of absolute values of the displacements in parallel with the optical axis of each lens with refractive power from the central point to the point at the maximum effective radius, i.e. Σ|InRS|=InRSO+InRSI while. It may efficiently increase the capability of modifying the off-axis view field aberration of the system. 
         [0131]    The optical image capturing system of the first preferred embodiment satisfies Σ|InRS|/InTL=0.856804897 and Σ|InRS|/HOS=0.632658616. It may reduce the total height of the system as well as efficiently increase the capability of modifying the off-axis view field aberration of the system. 
         [0132]    The optical image capturing system of the first preferred embodiment satisfies |InRS 41 |+|InRS 42 |+|InRS 51 |+|InRS 52 |=1.434189 mm; |InRS 41 |+|InRS 42 |+|InRS 51 |+|InRS 52 |)/InTL=0.433551693; and (|InRS 41 |+|InRS 42 |+|InRS 51 |+|InRS 52 |)/HOS=0.320131473. It may increase yield rate of the lenses of the first and the second closest to the image side as well as efficiently increase the capability of modifying the off-axis view field aberration of the system. 
         [0133]    The optical image capturing system of the first preferred embodiment satisfies HVT 41 =1.28509 mm and HVT 42 =0 mm, where HVT 41  a distance perpendicular to the optical axis between the inflection point on the object-side surface of the fourth lens and the optical axis; and HVT 42  a distance perpendicular to the optical axis between the inflection point on the image-side surface of the fourth lens and the optical axis. It may efficiently modify the aberration of the peripheral view field of the system. 
         [0134]    The optical image capturing system of the first preferred embodiment satisfies HVT 51 =0 mm; HVT 52 =1.06804 mm; and HVT 51 /HVT 52 =0, where HVT 51  a distance perpendicular to the optical axis between the inflection point on the object-side surface of the fifth lens and the optical axis; and HVT 52  a distance perpendicular to the optical axis between the inflection point on the image-side surface of the fifth lens and the optical axis. It may efficiently modify the aberration of the off-axis view field of the system. 
         [0135]    The optical image capturing system of the first preferred embodiment satisfies HVT 52 /HOI=0.364083859. It may efficiently modify the aberration of the off-axis view field of the system. 
         [0136]    The optical image capturing system of the first preferred embodiment satisfies HVT 52 /HOS=0.237342222. It may efficiently modify the aberration of the peripheral view field of the system. 
         [0137]    The optical image capturing system of the first preferred embodiment further satisfies NA 5 /NA 2 =2.5441, where NA 2  is an Abbe number of the second lens  120 , and NA 5  is an Abbe number of the fifth lens  150 . It may correct the aberration of the system. 
         [0138]    The optical image capturing system of the first preferred embodiment further satisfies |TDT|=0.6343% and |ODT|=2.5001%, where TDT is TV distortion; and ODT is optical distortion. 
         [0139]    The parameters of the lenses of the first embodiment are listed in Table 1 and Table 2. 
         [0000]    
       
         
               
             
               
               
               
               
               
               
               
               
             
               
               
               
               
               
               
               
             
               
               
               
               
               
               
               
               
             
           
               
                 TABLE 1 
               
             
             
               
                   
               
               
                 f = 3.73172 mm; f/HEP = 2.05 ; HAF = 37.5 deg; tan(HAF) = 0.7673 
               
             
          
           
               
                   
                   
                   
                   
                   
                   
                   
                 Focal 
               
             
          
           
               
                   
                 Radius of curvature 
                 Thickness 
                   
                 Refractive  
                 Abbe 
                 length 
               
               
                 Surface  
                 (mm) 
                 (mm) 
                 Material  
                 index 
                 number 
                 (mm) 
               
               
                   
               
             
          
           
               
                 0 
                 Object 
                 plane 
                 infinity 
                   
                   
                   
                   
               
               
                 1 
                 Aperture 
                 plane 
                 −0.30784 
                   
                   
                   
                   
               
               
                 2 
                 1 st  lens 
                 1.48285 
                 0.587988 
                 plastic 
                 1.5441 
                 56.1 
                 3.77514 
               
               
                 3 
                   
                 4.54742 
                 0.511659 
                   
                   
                   
                   
               
               
                 4 
                 2 nd  lens 
                 −9.33807 
                 0.306624 
                 plastic 
                 1.6425 
                 22.465 
                 −55.2008 
               
               
                 5 
                   
                 −12.8028 
                 0.366935 
                   
                   
                   
                   
               
               
                 6 
                 3 rd  lens 
                 −1.02094 
                 0.308255 
                 plastic 
                 1.6425 
                 22.465 
                 −18.3893 
               
               
                 7 
                   
                 −1.2492 
                 0.05 
                   
                   
                   
                   
               
               
                 8 
                 4 th  lens 
                 2.18916  
                 0.512923 
                 plastic 
                 1.5441 
                 56.1 
                 3.7693 
               
               
                 9 
                   
                 −31.3936  
                 0.44596 
                   
                   
                   
                   
               
               
                 10 
                 5 th  lens  
                 −2.86353 
                 0.328302 
                 plastic 
                 1.514 
                 57.1538  
                 −3.6601 
               
               
                 11 
                   
                 5.75188 
                 0.3 
                   
                   
                   
                   
               
               
                 12 
                 Filter 
                 plane 
                 0.2 
                   
                 1.517 
                 64.2 
                   
               
               
                 13 
                   
                 plane 
                 0.58424 
                   
                   
                   
                   
               
               
                 14 
                 Image 
                 plane 
                 −0.00289 
                   
                   
                   
                   
               
               
                   
                 plane 
               
               
                   
               
               
                 Reference wavelength: 555 nm 
               
             
          
         
       
     
         [0000]    
       
         
               
             
               
               
               
               
               
               
             
           
               
                 TABLE 2 
               
               
                   
               
               
                 Coefficients of the aspheric surfaces 
               
               
                   
               
             
             
               
                   
               
             
          
           
               
                 Surface 
                 2 
                 3 
                 4 
                 5 
                 6 
               
               
                   
               
               
                 k 
                 −1.83479 
                 −20.595808 
                 16.674705 
                 11.425456 
                 −4.642191 
               
               
                 A4 
                 6.89867E−02 
                  2.25678E−02 
                 −1.11828E−01 
                 −4.19899E−02 
                 −7.09315E−02 
               
               
                 A6 
                 2.35740E−02 
                 −6.17850E−02 
                 −6.62880E−02 
                 −1.88072E−02 
                  9.65840E−02 
               
               
                 A8 
                 −4.26369E−02  
                  5.82944E−02 
                 −3.35190E−02 
                 −6.98321E−02 
                 −7.32044E−03 
               
               
                 A10 
                 5.63746E−03 
                 −2.73938E−02 
                 −7.28886E−02 
                 −1.13079E−02 
                 −8.96740E−02 
               
               
                 A12 
                 7.46740E−02 
                 −2.45759E−01 
                  4.05955E−02 
                  6.79127E−02 
                 −3.70146E−02 
               
               
                 A14 
                 −6.93116E−02  
                  3.43401E−01 
                  1.60451E−01 
                  2.83769E−02 
                  5.00641E−02 
               
               
                 A16 
                 −2.04867E−02  
                 −1.28084E−01 
                  1.24448E−01 
                 −2.45035E−02 
                  7.50413E−02 
               
               
                 A18 
                 1.99910E−02 
                 −2.32031E−02 
                 −1.94856E−01 
                  2.90241E−02 
                 −5.10392E−02 
               
               
                 A20 
               
               
                   
               
               
                 Surface 
                 7 
                 8 
                 9 
                 10 
                 11 
               
               
                   
               
               
                 k 
                 −1.197201 
                 −20.458388 
                 −50 
                 −2.907359 
                 −50 
               
               
                 A4 
                 3.64395E−02 
                 −1.75641E−02 
                 −7.82211E−04 
                 −1.58711E−03 
                 −2.46339E−02 
               
               
                 A6 
                 2.22356E−02 
                 −2.87240E−03 
                 −2.47110E−04 
                 −3.46504E−03 
                  6.61804E−04 
               
               
                 A8 
                 7.09828E−03 
                 −2.56360E−04 
                 −3.78130E−04 
                  4.52459E−03 
                  1.54143E−04 
               
               
                 A10 
                 5.05740E−03 
                  7.39189E−05 
                 −1.22232E−04 
                  1.05841E−04 
                 −2.83264E−05 
               
               
                 A12 
                 −4.51124E−04  
                 −5.53116E−08 
                 −1.50294E−05 
                 −5.57252E−04 
                 −5.78839E−06 
               
               
                 A14 
                 −1.84003E−03  
                  8.16043E−06 
                 −5.41743E−07 
                  4.41714E−05 
                 −2.91861E−07 
               
               
                 A16 
                 −1.28118E−03  
                  2.10395E−06 
                  2.98820E−07 
                  1.80752E−05 
                  8.25778E−08 
               
               
                 A18 
                 4.09004E−04 
                 −1.21664E−06 
                  2.73321E−07 
                 −2.27031E−06 
                 −9.87595E−09 
               
               
                 A20 
               
               
                   
               
             
          
         
       
     
         [0140]    The detail parameters of the first preferred embodiment are listed in Table 1, in which the unit of radius of curvature, thickness, and focal length are millimeter, and surface 0-14 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 
       [0141]    As shown in  FIG. 2A  and  FIG. 2B , an optical image capturing system of the second preferred embodiment of the present invention includes, along an optical axis from an object side to an image side, a first lens  210 , an aperture  200 , a second lens  220 , a third lens  230 , a fourth lens  240 , a fifth lens  250 , an infrared rays filter  270 , an image plane  280 , and an image sensor  290 . 
         [0142]    The first lens  210  has positive refractive power, and is made of plastic. An object-side surface  212  thereof, which faces the object side, is a concave aspheric surface, and an image-side surface  214  thereof, which faces the image side, is a convex aspheric surface. Both the object-side surface  212  and the image-side surface  214  each has an inflection point. 
         [0143]    The second lens  220  has negative refractive power, and is made of plastic. An object-side surface  222 , which faces the object side, thereof has a convex aspheric surface, and an image-side surface  224 , which faces the image side, thereof is a concave aspheric surface. The image-side surface  224  each has an inflection point. 
         [0144]    The third lens  230  has negative 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 concave aspheric surface. Both the object-side surface  232  and the image-side surface  234  each has an inflection point. 
         [0145]    The fourth lens  240  has positive refractive power, and is made of plastic. Both an object-side surface  242 , which faces the object side, and an image-side surface  244 , which faces the image side, thereof are convex aspheric surfaces. The image-side surface  244  has an inflection point. 
         [0146]    The fifth lens  250  has negative refractive power, and is made of plastic. Both an object-side surface  252 , which faces the object side, and an image-side surface  254 , which faces the image side, thereof are concave aspheric surfaces. Both the object-side surface  252  and the image-side surface  254  each has an inflection point. 
         [0147]    The infrared rays filter  270  is made of glass, and between the fifth lens  250  and the image plane  280 . The infrared rays filter  270  gives no contribution to the focal length of the system. 
         [0148]    The optical image capturing system of the second preferred embodiment has the following parameters, which are |f 2 |+|f 3 |+|f 4 |=202.2784 mm, |f 1 |+|f 5 |=15.4804 mm, and |f 2 |+|f 3 |+|f 4 |&gt;|f 1 |+|f 5 |, where f 1  is a focal length of the first lens  210 ; f 2  is a focal length of the second lens  220 ; f 3  is a focal length of the third lens  230 ; f 4  is a focal length of the fourth lens  240 ; and f 5  is a focal length of the fifth lens  250 . 
         [0149]    The optical image capturing system of the second preferred embodiment further satisfies TP 4 =1.8566 mm and TP 5 =0.3785 mm, where TP 4  is a thickness of the fourth lens on the optical axis, and TP 5  is a thickness of the fifth lens on the optical axis. 
         [0150]    In the second embodiment, the first and the fourth lenses  210  and  240  are positive lenses, and their focal lengths are f 1  and f 4 . The optical image capturing system of the second preferred embodiment further satisfies ΣPP=f 1 +f 4 =14.75918 mm and f 1 /(f 1 +f 4 )=0.84563, where ΣPP is a sum of the focal lengths of each positive lens. It is helpful to share the positive refractive power of the first lens  210  to the other positive lenses to avoid the significant aberration caused by the incident rays. 
         [0151]    In the second preferred embodiment, the second, the third and the fifth lenses  220 ,  230 , and  250  are negative lenses, and their focal lengths are f 2 , f 3 , and f 5 . The optical image capturing system of the second preferred embodiment further satisfies ΣNP=f 2 +f 3 +f 5 =−202.99957 mm and f 5 /(f 2 +f 3 +f 5 )=0.01478, where ΣNP is a sum of the focal lengths of each negative lens. It is helpful to share the negative refractive power of the fifth lens  250  to the other negative lenses to avoid the significant aberration caused by the incident rays. 
         [0152]    The parameters of the lenses of the second embodiment are listed in Table 3 and Table 4. 
         [0000]    
       
         
               
             
               
               
               
               
               
               
               
             
               
               
               
               
               
               
               
               
             
           
               
                 TABLE 3 
               
             
             
               
                   
               
               
                 f = 3.0337 mm; f/HEP = 1.4; HAF = 49.9995 deg; tan(HAF) = 1.1917 
               
             
          
           
               
                   
                 Radius of curvature  
                 Thickness 
                   
                 Refractive  
                 Abbe 
                 Focal length 
               
               
                 Surface 
                 (mm) 
                 (mm) 
                 Material 
                 index 
                 number 
                 (mm) 
               
               
                   
               
             
          
           
               
                 0 
                 Object 
                 plane 
                 infinity 
                   
                   
                   
                   
               
               
                 1 
                 1 st  lens 
                 −11.184 
                 0.404833 
                 plastic 
                 1.65 
                 21.4 
                 12.4808 
               
               
                 2 
                   
                 −4.79236 
                 0.305585 
                   
                   
                   
                   
               
               
                 3 
                 Aperture 
                 plane 
                 −0.08556 
                   
                   
                   
                   
               
               
                 4 
                 2 nd  lens 
                 4.8143 
                 0.332444 
                 plastic 
                 1.565 
                 58 
                 −100 
               
               
                 5 
                   
                 4.32653 
                 0.289738 
                   
                   
                   
                   
               
               
                 6 
                 3 rd  lens 
                 3.23737 
                 0.275077 
                 plastic 
                 1.65 
                 21.4 
                 −100 
               
               
                 7 
                   
                 2.98121 
                 0.097837 
                   
                   
                   
                   
               
               
                 8 
                 4 th  lens 
                 7.63415 
                 1.856583 
                 plastic  
                 1.565 
                 58 
                 2.27838 
               
               
                 9 
                   
                 −1.41751 
                 0.846473 
                   
                   
                   
                   
               
               
                 10 
                 5 th  lens 
                 −26.807 
                 0.37849  
                 plastic  
                 1.607 
                 26.6 
                 −2.99957 
               
               
                 11 
                   
                 1.97815 
                 0.5 
                   
                   
                   
                   
               
               
                 12 
                 Filter 
                 plane 
                 0.2 
                   
                 1.517 
                 64.2 
                   
               
               
                 13 
                   
                 plane 
                 0.197705 
                   
                   
                   
                   
               
               
                 14 
                 Image 
                 plane 
                 0.061755 
                   
                   
                   
                   
               
               
                   
                 plane 
               
               
                   
               
               
                 Reference wavelength: 555 nm; position of blocking light: blocking at the second surface with effective semi diameter of 1.24 mm, and blocking at the sixth surface with effective semi diameter of 1.08 mm. 
               
             
          
         
       
     
         [0000]    
       
         
               
             
               
               
               
               
               
               
             
           
               
                 TABLE 4 
               
               
                   
               
               
                 Coefficients of the aspheric surfaces 
               
               
                   
               
             
             
               
                   
               
             
          
           
               
                 Surface 
                 1 
                 2 
                 4 
                 5 
                 6 
               
               
                   
               
               
                 k 
                 −46.925288 
                 −17.395764 
                 0.240632 
                 4.881522 
                 −21.828221 
               
               
                 A4 
                 3.45886E−02 
                 1.08260E−01  
                 7.51007E−02 
                 −5.10676E−02 
                 −4.07571E−02 
               
               
                 A6 
                 1.28419E−02 
                 −4.89225E−02   
                 −4.91176E−02  
                 −1.87203E−02 
                 −4.42790E−02 
               
               
                 A8 
                 −8.05432E−03  
                 3.79536E−02 
                 1.03827E−02  
                  1.26151E−02  
                 −3.03913E−02 
               
               
                 A10 
                 3.67671E−03  
                 2.06507E−03 
                 1.02204E−02 
                 −5.10564E−03  
                  1.47962E−02 
               
               
                 A12 
                 −1.07488E−03  
                 −1.74271E−02  
                 −2.81025E−03  
                 −3.93861E−04  
                  1.42637E−02 
               
               
                 A14 
                 2.01844E−04  
                 7.56766E−03 
                 −1.24833E−03  
                 −1.36735E−03 
                 −1.45789E−02 
               
               
                   
               
               
                 Surface 
                 7 
                 8 
                 9 
                 10 
                 11 
               
               
                   
               
               
                 k 
                 −3.499481 
                 11.881341 
                 −1.348315 
                 47.659839 
                 −8.396255 
               
               
                 A4 
                 −3.83151E−02 
                 5.58744E−04 
                 2.61988E−02 
                 −8.84333E−02  
                 −1.99161E−02  
               
               
                 A6 
                 −3.43673E−02  
                 1.45872E−02  
                 −2.37889E−02  
                 3.43111E−02  
                 3.77985E−04 
               
               
                 A8 
                  2.20926E−02  
                 −8.05899E−03   
                 5.76362E−03  
                 −1.65723E−02  
                 8.01855E−05 
               
               
                 A10 
                 −7.85800E−03 
                 1.94092E−03 
                 9.93197E−04 
                 4.91725E−05 
                 4.07747E−06 
               
               
                 A12 
                  1.01232E−03 
                 −3.00151E−05  
                 −6.97317E−04  
                 1.72450E−03 
                 −2.99760E−06  
               
               
                 A14 
                 −1.20971E−04 
                 −3.26577E−05  
                 1.66336E−04  
                 −3.30453E−04  
                 1.70142E−07 
               
               
                   
               
             
          
         
       
     
         [0153]    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. 
         [0154]    The exact parameters of the second embodiment based on Table 3 and Table 4 are listed in the following table: 
         [0000]    
       
         
               
             
               
               
               
               
               
               
             
               
               
               
               
             
               
               
             
               
               
               
               
               
               
             
               
               
               
               
               
             
           
               
                   
               
               
                 Second embodiment (Reference wavelength: 555 nm) 
               
               
                   
               
             
             
               
                   
               
             
          
           
               
                 InRS11 
                 InRS12 
                 InRS21 
                 InRS22 
                 InRS31 
                 InRS32 
               
               
                 0.20580 
                 0.10042 
                 0.18832 
                 0.05684 
                 −0.02923  
                 0.06488 
               
               
                 InRS41 
                 InRS42 
                 InRS51 
                 InRS52 
                 |InRS51|/TP5 
                 |InRS52|/TP5 
               
               
                 0.30523 
                 −0.79437  
                 −1.07310  
                 −0.31656  
                 1.7894  
                 0.5279  
               
               
                 ODT 
                 TDT 
                 InRSO 
                 InRSI 
                 Σ|InRS| 
               
               
                 2.10177% 
                 1.05646% 
                 1.80168 
                 1.33308 
                 3.13476 
               
             
          
           
               
                 Σ|InRS|/ 
                 Σ|InRS|/ 
                 (|InRS32| + |InRS41|)/IN34 
                 (|InRS42| + |InRS51|)/IN45 
               
               
                 InTL 
                 HOS 
               
               
                 0.66676 
                 0.55375 
                 3.78294 
                 2.20618 
               
             
          
           
               
                 (|InRS31| + |InRS32| + |InRS41| + |InRS42|)/ 
                 (|InRS31| + |InRS32| + |InRS41| + |InRS42|)/ 
               
               
                 InTL 
                 HOS 
               
               
                 0.52946 
                 0.43972 
               
             
          
           
               
                 |f/f1| 
                 |f/f2| 
                 |f/f3| 
                 |f/f4| 
                 |f/f5| 
                 |f1/f2| 
               
               
                 0.24307 
                 0.03034 
                 0.03034 
                 1.33151 
                 1.01137 
                 0.12481 
               
               
                 Σ PPR 
                 Σ NPR 
                 Σ PPR/ 
                 Σ PP 
                 Σ NP 
                 IN12/f 
               
               
                   
                   
                 |ΣNPR| 
               
               
                 1.57458 
                 1.07205 
                 1.46876 
                 14.75918  
                 −202.99957   
                 0.07253 
               
               
                 f1/Σ PP 
                 f5/Σ NP 
                 HVT51 
                 HVT52 
                 HVT52/ 
                 HVT52/ 
               
               
                   
                   
                   
                   
                 HOI 
                 HOS 
               
               
                 0.84563 
                 0.01478 
                 0.00000 
                 1.70013 
                 1.87958 
                 0.65980 
               
               
                 InTL 
                 HOS 
                 HOS/HOI 
                 InS/HOS 
                 InTL/HOS 
                 Σ TP/InTL 
               
               
                 5.66096 
                 4.70150 
                 1.51363 
                 0.87451 
                 0.83051 
                 0.69072 
               
             
          
           
               
                 HVT41 
                 HVT42 
                 (TP1 + IN12)/ 
                 (TP5 + IN45)/ 
                 (TP2 + TP3 + TP4)/Σ TP 
               
               
                   
                   
                 TP2 
                 TP4 
               
               
                 0     
                 1.69763 
                 1.87958 
                 0.65980 
                  0.75879 
               
               
                   
               
             
          
         
       
     
         [0155]    The exact parameters of the inflection points of the second embodiment based on Table 3 and Table 4 are listed in the following table: 
         [0000]    
       
         
               
             
               
               
               
               
               
               
               
               
             
           
               
                   
               
               
                 Second embodiment (Reference wavelength: 555 nm) 
               
               
                   
               
             
             
               
                   
               
             
          
           
               
                 HIF111 
                 0.41645 
                 HIF111/HOI 
                 0.11135 
                 SGI111 
                 −0.00653 
                 |SGI111|/(|SGI111| + TP1) 
                 0.01588 
               
               
                 HIF121 
                 0.39837 
                 HIF121/HOI 
                 0.10651 
                 SGI121 
                 −0.01356 
                 |SGI121|/(|SGI121| + TP1) 
                 0.03241 
               
               
                 HIF221 
                 0.60914 
                 HIF221/HOI 
                 0.16287 
                 SGI221 
                  0.03642 
                 |SGI221|/(|SGI221| + TP2) 
                 0.09874 
               
               
                 HIF311 
                 0.46447 
                 HIF311/HOI 
                 0.12419 
                 SGI311 
                  0.02796 
                 |SGI311|/(|SGI311| + TP3) 
                 0.09225 
               
               
                 HIF321 
                 0.63191 
                 HIF321/HOI 
                 0.16896 
                 SGI321 
                  0.05738 
                 |SGI321|/(|SGI321| + TP3) 
                 0.17259 
               
               
                 HIF421 
                 1.36329 
                 HIF421/HOI 
                 0.36452 
                 SGI421 
                 −0.59730 
                 |SGI421|/(|SGI421| + TP4) 
                 0.24341 
               
               
                 HIF521 
                 0.81018 
                 HIF521/HOI 
                 0.21663 
                 SGI521 
                  0.12444 
                 |SGI521|/(|SGI521| + TP5) 
                 0.24742 
               
               
                   
               
             
          
         
       
     
       Third Embodiment 
       [0156]    As shown in  FIG. 3A  and  FIG. 3B , an optical image capturing system of the third preferred embodiment of the present invention includes, along an optical axis from an object side to an image side, a first lens  310 , an aperture  300 , a second lens  320 , a third lens  330 , a fourth lens  340 , a fifth lens  350 , an infrared rays filter  370 , an image plane  380 , and an image sensor  390 . 
         [0157]    The first lens  310  has positive refractive power, and is made of plastic. An object-side surface  312  thereof, which faces the object side, is a convex aspheric surface, and an image-side surface  314  thereof, which faces the image side, is a concave aspheric surfaces. The object-side surface  312  has an inflection point. 
         [0158]    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. Both the object-side surface  322  and the image-side surface  324  each has an inflection point. 
         [0159]    The third lens  330  has negative refractive power, and is made of plastic. An object-side surface  332 , which faces the object side, is a convex aspheric surface, and an image-side surface  334  thereof, which faces the image side, is a concave aspheric surface. Both the object-side surface  332  and the image-side surface  334  each has an inflection point. 
         [0160]    The fourth lens  340  has a positive refractive power, and is made of plastic. An object-side surface  342 , which faces the object side, is a concave aspheric surface, and an image-side surface  344 , which faces the image side, is a convex aspheric surface, and the image-side surface  344  has an inflection point. 
         [0161]    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 aspheric surface, and an image-side surface  354 , which faces the image side, is a concave aspheric surface. Both the object-side surface  352  and the image-side surface  354  each has an inflection point. 
         [0162]    The infrared rays filter  370  is made of glass, and between the fifth lens  350  and the image plane  380 . The infrared rays filter  370  gives no contribution to the focal length of the system. 
         [0163]    The parameters of the lenses of the third preferred embodiment are |f 2 |+|f 3 |+|f 4 |=202.1382 mm; |f 1 |+|f 5 |=8.8100 mm; and |f 2 |+|f 3 |+|f 4 |&gt;|f 1 |+|f 5 |, where f 1  is a focal length of the first lens  310 ; f 2  is a focal length of the second lens  320 ; f 3  is a focal length of the third lens  330 ; f 4  is a focal length of the fourth lens  340 ; and f 5  is a focal length of the fifth lens  350 . 
         [0164]    The optical image capturing system of the third preferred embodiment further satisfies TP 4 =0.8788 mm and TP 5 =0.9362 mm, where TP 4  is a thickness of the fourth lens  340  on the optical axis, and TP 5  is a thickness of the fifth lens  350  on the optical axis. 
         [0165]    In the third embodiment, the first and the fourth lenses  310  and  340  are positive lenses, and their focal lengths are f 1  and f 4 . The optical image capturing system of the third preferred embodiment further satisfies ΣPP=f 1 +f 4 =8.29140 mm and f 1 /(f 1 +f 4 )=0.74208, where ΣPP is a sum of the focal lengths of each positive lens. It is helpful to share the positive refractive power of the first lens  310  to the other positive lenses to avoid the significant aberration caused by the incident rays. 
         [0166]    In the third embodiment, the second, the third, and the fifth lenses  320 ,  330 , and  350  are negative lenses, and their focal lengths are f 2 , f 3  and f 5 . The optical image capturing system of the third preferred embodiment further satisfies ΣNP=f 2 +f 3 +f 5 =−202.65679 mm and f 5 /(f 2 +f 3 +f 5 )=0.01311, where ΣNP is a sum of the focal lengths of each negative lens. It is helpful to share the negative refractive power of the fifth lens  350  to the other negative lenses 
         [0167]    The parameters of the lenses of the third embodiment are listed in Table 5 and Table 6. 
         [0000]    
       
         
               
             
               
               
               
               
               
               
               
             
               
               
               
               
               
               
               
               
             
           
               
                 TABLE 5 
               
             
             
               
                   
               
               
                 f = 3.0517 mm; f/HEP = 1.6 ; HAF = 49.9996 deg; tan(HAF) = 1.1917 
               
             
          
           
               
                   
                 Radius of curvature 
                 Thickness 
                   
                 Refractive  
                 Abbe 
                 Focal length 
               
               
                 Surface  
                 (mm) 
                 (mm) 
                 Material  
                 index 
                 number 
                 (mm) 
               
               
                   
               
             
          
           
               
                 0 
                 Object 
                 plane 
                 infinity 
                   
                   
                   
                   
               
               
                 1 
                 1 st  lens 
                 2.20456 
                 0.470389 
                 plastic 
                 1.565 
                 58 
                 6.15291 
               
               
                 2 
                   
                 5.53062 
                 0.140163 
                   
                   
                   
                   
               
               
                 3 
                 Aperture 
                 plane 
                 0.320944 
                   
                   
                   
                   
               
               
                 4 
                 2 nd  lens 
                 14.2789 
                 0.45038 
                 plastic 
                 1.565 
                 58 
                 −100 
               
               
                 5 
                   
                 11.27537 
                 0.073618 
                   
                   
                   
                   
               
               
                 6 
                 3 rd  lens 
                 6.24398 
                 0.456628 
                 plastic 
                 1.514 
                 56.8 
                 −99.9997 
               
               
                 7 
                   
                 5.43099 
                 0.116674 
                   
                   
                   
                   
               
               
                 8 
                 4 th  lens 
                 −27.5977 
                 0.87878 
                 plastic 
                 1.565 
                 54.5 
                 2.13849 
               
               
                 9 
                   
                 −1.17466 
                 0.05 
                   
                   
                   
                   
               
               
                 10 
                 5 th  lens 
                 10.04847 
                 0.936174 
                 plastic 
                 1.607 
                 26.6 
                 −2.65709 
               
               
                 11 
                   
                 1.34848 
                 0.6 
                   
                   
                   
                   
               
               
                 12 
                 Filter 
                 plane 
                 0.2 
                   
                 1.517  
                 64.2 
                   
               
               
                 13 
                   
                 plane 
                 0.247788 
                   
                   
                   
                   
               
               
                 14 
                 Image 
                 plane 
                 0.045962 
                   
                   
                   
                   
               
               
                   
                 plane 
               
               
                   
               
               
                 Reference wavelength: 555 nm; position of blocking light: blocking at the first surface with effective semi diameter of 1.0 mm, and blocking at the sixth surface with effective semi diameter of 1.5 mm. 
               
             
          
         
       
     
         [0000]    
       
         
               
             
               
               
               
               
               
               
             
           
               
                 TABLE 6 
               
               
                   
               
               
                 Coefficients of the aspheric surfaces 
               
               
                   
               
             
             
               
                   
               
             
          
           
               
                 Surface 
                 1 
                 2 
                 4 
                 5 
                 6 
               
               
                   
               
               
                 k 
                 −1.01823 
                 12.064498 
                 −31.528658 
                 20.647357 
                 −50 
               
               
                 A4 
                  4.07570E−03 
                 7.36094E−03 
                 −7.14840E−02  
                 −1.30006E−01 
                 −1.76196E−01 
               
               
                 A6 
                  4.69096E−02 
                 −3.57030E−02  
                 3.39407E−02 
                 −4.36069E−02 
                  1.85406E−02 
               
               
                 A8 
                 −5.45436E−02 
                 3.74589E−02 
                 −1.20759E−01  
                 −1.91800E−02 
                 −7.24543E−02 
               
               
                 A10 
                  2.82765E−02 
                 9.54053E−03 
                 3.78945E−02 
                  6.37256E−03 
                  9.41684E−03 
               
               
                 A12 
                  3.62851E−03 
                 −5.39304E−02  
                 2.79204E−02 
                 −7.87619E−03 
                  5.94468E−02 
               
               
                 A14 
                 −6.42759E−03 
                 2.33770E−02 
                 −5.59690E−02  
                  3.44921E−03 
                 −2.40058E−02 
               
               
                   
               
               
                 Surface 
                 7 
                 8 
                 9 
                 10 
                 11 
               
               
                   
               
               
                 k 
                 −50 
                 −50 
                 −1.166205 
                 28.658652 
                 −6.385857 
               
               
                 A4 
                 −7.31653E−02 
                 −3.18537E−02  
                 4.98008E−02 
                 −1.03763E−01 
                 −2.09274E−02 
               
               
                 A6 
                 −1.88986E−02 
                 1.53000E−02 
                 −1.88741E−02  
                  4.82113E−02 
                  1.96098E−03 
               
               
                 A8 
                  1.40468E−02 
                 −6.45873E−03  
                 3.49672E−03 
                 −2.79400E−02 
                 −2.53652E−04 
               
               
                 A10 
                 −1.83626E−03 
                 −2.93333E−03  
                 5.76667E−04 
                  1.68728E−03 
                  2.82539E−05 
               
               
                 A12 
                 −1.89102E−03 
                 6.98470E−04 
                 −2.09686E−04  
                  2.96693E−03 
                 −2.55444E−06 
               
               
                 A14 
                  7.72277E−05 
                 2.26555E−05 
                 2.08365E−05 
                 −6.82747E−04 
                  4.67639E−08 
               
               
                   
               
             
          
         
       
     
         [0168]    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. 
         [0169]    The exact parameters of the third embodiment based on Table 5 and Table 6 are listed in the following table: 
         [0000]    
       
         
               
             
               
               
               
               
               
               
             
               
               
               
               
             
               
               
             
               
               
               
               
               
               
             
               
               
               
               
               
             
           
               
                   
               
               
                 Fourth embodiment (Reference wavelength: 555 nm) 
               
               
                   
               
             
             
               
                   
               
             
          
           
               
                 InRS11 
                 InRS12 
                 InRS21 
                 InRS22 
                 InRS31 
                 InRS32 
               
               
                 0.36354 
                 0.09324 
                 −0.13326  
                 −0.38365  
                 −0.31072  
                 −0.42090  
               
               
                 InRS41 
                 InRS42 
                 InRS51 
                 InRS52 
                 |InRS51|/TP5 
                 |InRS52|/TP5 
               
               
                 −0.30962  
                 −0.89537  
                 −0.71620  
                 −0.35774  
                 1.1943  
                 0.5965 
               
               
                 ODT 
                 TDT 
                 InRSO 
                 InRSI 
                 Σ|InRS| 
               
               
                 2.02101% 
                 1.08575% 
                 1.83333 
                 2.15091 
                 3.98423 
               
             
          
           
               
                 Σ|InRS|/ 
                 Σ|InRS|/ 
                 (|InRS32| + |InRS41|)/IN34 
                 (|InRS42| + |InRS51|)/IN45 
               
               
                 InTL 
                 HOS 
               
               
                 1.02324 
                 0.79884 
                 6.26121 
                 32.23142 
               
             
          
           
               
                 (|InRS31| + |InRS32| + |InRS41| + |InRS42|)/ 
                 (|InRS31| + |InRS32| + |InRS41| + |InRS42|)/ 
               
               
                 InTL 
                 HOS 
               
               
                 0.58528 
                 0.45693 
               
             
          
           
               
                 |f/f1| 
                 |f/f2| 
                 |f/f3| 
                 |f/f4| 
                 |f/f5| 
                 |f1/f2| 
               
               
                 0.49597 
                 0.03052 
                 0.03052 
                 1.42703 
                 1.14850 
                 0.06153 
               
               
                 Σ PPR 
                 Σ NPR 
                 Σ PPR/ 
                 Σ PP 
                 Σ NP 
                 IN12/f 
               
               
                   
                   
                 |Σ NPR| 
               
               
                 1.92300 
                 1.20954 
                 1.58986 
                 8.29140 
                 −202.65679   
                 0.15110 
               
               
                 f1/Σ PP 
                 f5/Σ NP 
                 HVT51 
                 HVT52 
                 HVT52/ 
                 HVT52/ 
               
               
                   
                   
                   
                   
                 HOI 
                 HOS 
               
               
                 0.74208 
                 0.01311 
                 0.54744 
                 1.91105 
                 0.51098 
                 0.38317 
               
               
                 InTL 
                 HOS 
                 HOS/HOI 
                 InS/HOS 
                 InTL/HOS 
                 Σ TP/InTL 
               
               
                 4.98750 
                 3.89375 
                 1.33356 
                 0.87758 
                 0.78070 
                 0.81987 
               
             
          
           
               
                 HVT41 
                 HVT42 
                 (TP1 + IN12)/ 
                 (TP5 + IN45)/ 
                 (TP2 + TP3 + TP4)/Σ TP 
               
               
                   
                   
                 TP2 
                 TP4 
               
               
                 0     
                 0     
                 2.06824 
                 1.12221 
                  0.55940 
               
               
                   
               
             
          
         
       
     
         [0170]    The exact parameters of the inflection points of the third embodiment based on Table 5 and Table 6 are listed in the following table: 
         [0000]    
       
         
               
             
               
               
               
               
               
               
               
               
             
           
               
                   
               
               
                 Third embodiment (Reference wavelength: 555 nm) 
               
               
                   
               
             
             
               
                   
               
             
          
           
               
                 HIF111 
                 1.11503 
                 HIF111/ 
                 0.29814 
                 SGI111 
                 0.31567 
                 |SGI111|/ 
                 0.40158 
               
               
                   
                   
                 HOI 
                   
                   
                   
                 (|SGI111| + TP1) 
               
               
                 HIF121 
                 0.87036 
                 HIF121/ 
                 0.23272 
                 SGI121 
                 0.07173 
                 |SGI121|/ 
                 0.13231 
               
               
                   
                   
                 HOI 
                   
                   
                   
                 (|SGI121| + TP1) 
               
               
                 HIF211 
                 0.28988 
                 HIF211/ 
                 0.07751 
                 SGI211 
                 0.00244 
                 |SGI211|/ 
                 0.00539 
               
               
                   
                   
                 HOI 
                   
                   
                   
                 (|SGI211| + TP2) 
               
               
                 HIF221 
                 0.23450 
                 HIF221/ 
                 0.06270 
                 SGI221 
                 0.00204 
                 |SGI221|/ 
                 0.00452 
               
               
                   
                   
                 HOI 
                   
                   
                   
                 (|SGI221| + TP2) 
               
               
                 HIF311 
                 0.26012 
                 HIF311/ 
                 0.06955 
                 SGI311 
                 0.00451 
                 |SGI311|/ 
                 0.00977 
               
               
                   
                   
                 HOI 
                   
                   
                   
                 (|SGI311| + TP3) 
               
               
                 HIF321 
                 0.37689 
                 HIF321/ 
                 0.10077 
                 SGI321 
                 0.01086 
                 |SGI321|/ 
                 0.02323 
               
               
                   
                   
                 HOI 
                   
                   
                   
                 (|SGI321| + TP3) 
               
               
                 HIF421 
                 1.38724 
                 HIF421/ 
                 0.37092 
                 SGI421 
                 −0.67200 
                 |SGI421|/ 
                 0.43333 
               
               
                   
                   
                 HOI 
                   
                   
                   
                 (|SGI421| + TP4) 
               
               
                 HIF511 
                 0.30357 
                 HIF511/ 
                 0.08117 
                 SGI511 
                 0.00377 
                 |SGI511|/ 
                 0.00401 
               
               
                   
                   
                 HOI 
                   
                   
                   
                 (|SGI511| + TP5) 
               
               
                 HIF521 
                 0.81585 
                 HIF521/ 
                 0.21814 
                 SGI521 
                 0.17248 
                 |SGI521|/ 
                 0.15558 
               
               
                   
                   
                 HOI 
                   
                   
                   
                 (|SGI521| + TP5) 
               
               
                   
               
             
          
         
       
     
       Fourth Embodiment 
       [0171]    As shown in  FIG. 4A  and  FIG. 4B , an optical image capturing system of the fourth preferred 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  470 , an image plane  480 , and an image sensor  490 . 
         [0172]    The first lens  410  has positive refractive power, and is made of plastic. An object-side surface  412  thereof, which faces the object side, is a convex aspheric surface, and an image-side surface  414  thereof, which faces the image side, is a concave aspheric surface. Both the object-side surface  412  and the image-side surface  414  each has an inflection point. 
         [0173]    The second lens  420  has negative refractive power, and is made of plastic. An object-side surface  422  thereof, which faces the object side, is a concave aspheric surface, and an image-side surface  424  thereof, which faces the image side, is a convex aspheric surface. 
         [0174]    The third lens  430  has negative 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 concave aspheric surfaces. The object-side surface  432  has an inflection point, and the image-side surface  434  has two inflection points. 
         [0175]    The fourth lens  440  has positive refractive power, and is made of plastic. An object-side surface  442 , which faces the object side, is a concave aspheric surface, and an image-side surface  444 , which faces the image side, is a convex aspheric surface. Both the object-side surface  442  and the image-side surface  444  each has an inflection point. 
         [0176]    The fifth lens  450  has negative refractive power, and is made of plastic. An object-side surface  452  thereof, which faces the object side, is a convex aspheric surface, and an image-side surface  454  thereof, which faces the image side, is a concave aspheric surface. Both the object-side surface  452  and the image-side surface  454  each has an inflection point. 
         [0177]    The infrared rays filter  470  is made of glass, and between the fifth lens  450  and the image plane  480 . The infrared rays filter  470  gives no contribution to the focal length of the system. 
         [0178]    The optical image capturing system of the fourth preferred embodiment has the following parameters, which are |f 2 |+|f 3 |+|f 4 |=202.0838 mm; |f 1 |+|f 5 |=9.2108 mm; and |f 2 |+|f 3 |+|f 4 |&gt;|f 1 |+|f 5 |, where f 1  is a focal length of the first lens  410 ; f 2  is a focal length of the second lens  420 ; f 3  is a focal length of the third lens  430 ; f 4  is a focal length of the fourth lens  440 ; and f 5  is a focal length of the fifth lens  450 . 
         [0179]    The optical image capturing system of the fourth preferred embodiment further satisfies TP 4 =1.7266 mm and TP 5 =0.6148 mm, where TP 4  is a thickness of the fourth lens  340  on the optical axis, and TP 5  is a thickness of the fifth lens  350  on the optical axis. 
         [0180]    In the fourth embodiment, the first and the fourth lenses  410  and  440  are positive lenses, and their focal lengths are f 1  and f 4 . The optical image capturing system of the fourth preferred embodiment further satisfies ΣPP=f 1 +f 4 =8.47246 mm and f 1 /(f 1 +f 4 )=0.75404, where ΣPP is a sum of the focal lengths of each positive lens. It is helpful to share the positive refractive power of the first lens  410  to the other positive lenses to avoid the significant aberration caused by the incident rays. 
         [0181]    In the fourth embodiment, the second. The third, and the fifth lenses  420 , 430 , and  450  are negative lenses, and their focal lengths are f 2 , f 3 , and f 5 . The optical image capturing system of the fourth preferred embodiment further satisfies ΣNP=f 2 +f 3 +f 5 =−202.82207 mm and f 5 /(f 2 +f 3 +f 5 )=0.01391, where ΣNP is a sum of the focal lengths of each negative lens. It is helpful to share the negative refractive power of the fifth lens  450  to the other negative lenses. 
         [0182]    The parameters of the lenses of the fourth embodiment are listed in Table 7 and Table 8. 
         [0000]    
       
         
               
             
               
               
               
               
               
               
               
             
               
               
               
               
               
               
               
               
             
           
               
                 TABLE 7 
               
             
             
               
                   
               
               
                 f = 3.0564 mm; f/HEP = 1.8; HAF = 50.0003 deg; tan(HAF) = 1.1919 
               
             
          
           
               
                   
                 Radius of curvature 
                 Thickness 
                   
                 Refractive  
                 Abbe 
                 Focal length 
               
               
                 Surface  
                 (mm) 
                 (mm) 
                 Material  
                 index 
                 number 
                 (mm) 
               
               
                   
               
             
          
           
               
                 0 
                 Object 
                 plane 
                 infinity 
                   
                   
                   
                   
               
               
                 1 
                 1 st  lens 
                 2.27107 
                 0.364297 
                 plastic 
                 1.565 
                 54.5 
                 6.3886 
               
               
                 2 
                   
                 5.73656 
                 0.048781 
                   
                   
                   
                   
               
               
                 3 
                 Aperture 
                 plane 
                 0.408157 
                   
                   
                   
                   
               
               
                 4 
                 2 nd  lens 
                 −28.3949 
                 0.40763 
                 plastic 
                 1.565 
                 58 
                 −100 
               
               
                 5 
                   
                 −57.1976 
                 0.090027 
                   
                   
                   
                   
               
               
                 6 
                 3 rd  lens 
                 4.65897 
                 0.299482 
                 plastic 
                 1.65 
                 21.4 
                 −99.9999 
               
               
                 7 
                   
                 4.23908 
                 0.127693 
                   
                   
                   
                   
               
               
                 8 
                 4 th  lens 
                 −7.68506 
                 1.726554 
                 plastic 
                 1.565 
                 58 
                 2.08386 
               
               
                 9 
                   
                 −1.10695 
                 0.05 
                   
                   
                   
                   
               
               
                 10 
                 5 th  lens 
                 1.79945 
                 0.614772 
                 plastic 
                 1.583 
                 30.2 
                 −2.82217 
               
               
                 11 
                   
                 0.75326 
                 0.9 
                   
                   
                   
                   
               
               
                 12 
                 Filter 
                 plane 
                 0.2 
                   
                 1.517 
                 64.2 
                   
               
               
                 13 
                   
                 plane 
                 0.16693 
                   
                   
                   
                   
               
               
                 14 
                 Image 
                 plane 
                 0.051096 
                   
                   
                   
                   
               
               
                   
                 plane 
               
               
                   
               
               
                 Reference wavelength: 555 nm 
               
             
          
         
       
     
         [0000]    
       
         
               
             
               
               
               
               
               
               
             
           
               
                 TABLE 8 
               
               
                   
               
               
                 Coefficients of the aspheric surfaces 
               
               
                   
               
             
             
               
                   
               
             
          
           
               
                 Surface 
                 1 
                 2 
                 4 
                 5 
                 6 
               
               
                   
               
               
                 k 
                 −2.281548 
                 −31.904582 
                 50 
                 50 
                 −44.254216 
               
               
                 A4 
                 3.02092E−02 
                  1.70188E−02 
                 −2.89436E−02 
                 −1.17775E−01 
                 −1.71796E−01 
               
               
                 A6 
                 8.92477E−03 
                 −1.80770E−02 
                 −5.15834E−02 
                  6.25544E−03 
                  7.73545E−03 
               
               
                 A8 
                 −4.08576E−02  
                 −3.24113E−02 
                  1.20560E−02 
                 −2.37285E−02 
                 −7.13630E−02 
               
               
                 A10 
                 6.02123E−02 
                  5.67272E−02 
                 −5.11372E−02 
                 −5.18628E−02 
                  4.36217E−03 
               
               
                 A12 
                 −5.39983E−02  
                 −8.28740E−02 
                  5.47980E−02 
                  6.27727E−02 
                  2.98921E−02 
               
               
                 A14 
                 9.59441E−03 
                  3.06504E−02 
                 −4.82572E−02 
                 −3.26909E−02 
                 −2.32631E−02 
               
               
                   
               
               
                 Surface 
                 7 
                 8 
                 9 
                 10 
                 11 
               
               
                   
               
               
                 k 
                 −50 
                 −50 
                 −1.102161 
                 −18.876443 
                 −3.6444 
               
               
                 A4 
                 −5.06515E−02  
                 −1.87607E−02 
                  5.51624E−02 
                 −3.06930E−02 
                 −3.15543E−02 
               
               
                 A6 
                 −3.46260E−02  
                  4.39732E−03 
                 −2.18381E−02 
                 −3.75069E−03 
                  5.79988E−03 
               
               
                 A8 
                 1.52300E−02 
                  1.26958E−03 
                 −1.13105E−04 
                  1.40250E−03 
                 −7.15062E−04 
               
               
                 A10 
                 2.94236E−03 
                  1.23135E−04 
                  7.86040E−04 
                 −2.27335E−04 
                  4.20025E−05 
               
               
                 A12 
                 −3.83877E−03  
                 −3.42516E−05 
                  2.04191E−04 
                  4.94910E−05 
                 −5.30134E−07 
               
               
                 A14 
                 8.41360E−04 
                 −8.60236E−06 
                 −4.08117E−05 
                 −6.39870E−06 
                 −5.04786E−08 
               
               
                   
               
             
          
         
       
     
         [0183]    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. 
         [0184]    The exact parameters of the fourth embodiment based on Table 7 and Table 8 are listed in the following table: 
         [0000]    
       
         
               
             
               
               
               
               
               
               
             
               
               
               
               
             
               
               
             
               
               
               
               
               
               
             
               
               
               
               
               
             
           
               
                   
               
               
                 Fourth embodiment (Reference wavelength: 555 nm) 
               
               
                   
               
             
             
               
                   
               
             
          
           
               
                 InRS11 
                 InRS12 
                 InRS21 
                 InRS22 
                 InRS31 
                 InRS32 
               
               
                 0.21309 
                 0.04881 
                 −0.12186  
                 −0.32945  
                 −0.36507  
                 −0.20226  
               
               
                 InRS41 
                 InRS42 
                 InRS51 
                 InRS52 
                 |InRS51|/TP5 
                 |InRS52|/TP5 
               
               
                 −0.09942  
                 −1.25042  
                 −0.47682  
                 0.09710 
                 0.7951  
                 0.1619  
               
               
                 ODT 
                 TDT 
                 InRSO 
                 InRSI 
                 Σ|InRS| 
               
               
                 2.02070% 
                 0.46011% 
                 1.27625 
                 1.92804 
                 3.20429 
               
             
          
           
               
                 Σ|InRS|/ 
                 Σ|InRS|/ 
                 (|InRS32| + |InRS41|)/IN34 
                 (|InRS42| + |InRS51|)/IN45 
               
               
                 InTL 
                 HOS 
               
               
                 0.77447 
                 0.58736 
                 2.36251 
                 34.54478 
               
             
          
           
               
                 (|InRS31| + |InRS32| + |InRS41| + |InRS42|)/ 
                 (|InRS31| + |InRS32| + |InRS41| + |InRS42|)/ 
               
               
                 InTL 
                 HOS 
               
               
                 0.46497 
                 0.35263 
               
             
          
           
               
                 |f/f1| 
                 |f/f2| 
                 |f/f3| 
                 |f/f4| 
                 |f/f5| 
                 |f1/f2| 
               
               
                 0.47842 
                 0.03056 
                 0.03056 
                 1.46672 
                 1.08301 
                 0.06389 
               
               
                 Σ PPR 
                 Σ NPR 
                 Σ PPR/ 
                 Σ PP 
                 Σ NP 
                 IN12/f 
               
               
                   
                   
                 |Σ NPR| 
               
               
                 1.94513 
                 1.14414 
                 1.70009 
                 8.47246 
                 −202.82207   
                 0.14950 
               
               
                 f1/Σ PP 
                 f5/Σ NP 
                 HVT51 
                 HVT52 
                 HVT52/ 
                 HVT52/ 
               
               
                   
                   
                   
                   
                 HOI 
                 HOS 
               
               
                 0.75404 
                 0.01391 
                 1.17604 
                 2.33272 
                 0.62372 
                 0.42760 
               
               
                 InTL 
                 HOS 
                 HOS/HOI 
                 InS/HOS 
                 InTL/HOS 
                 Σ TP/InTL 
               
               
                 5.45542 
                 4.13739 
                 1.45867 
                 0.92428 
                 0.75840 
                 0.82485 
               
             
          
           
               
                 HVT41 
                 HVT42 
                 (TP1 + IN12)/ 
                 (TP5 + IN45)/ 
                 (TP2 + TP3 + TP4)/Σ TP 
               
               
                   
                   
                 TP2 
                 TP4 
               
               
                 1.50819 
                 0     
                 2.01466 
                 0.38503 
                  0.71311 
               
               
                   
               
             
          
         
       
     
         [0185]    The exact parameters of the inflection points of the fourth embodiment based on Table 7 and Table 8 are listed in the following table: 
         [0000]    
       
         
               
             
               
               
               
               
               
               
               
               
             
           
               
                   
               
               
                 Fourth embodiment (Reference wavelength: 555 nm) 
               
               
                   
               
             
             
               
                   
               
             
          
           
               
                 HIF111 
                 0.88944 
                 HIF111/HOI 
                 0.23782 
                 SGI111 
                 0.18096 
                 |SGI111|/(|SGI111| + TP1)  
                 0.33188 
               
               
                 HIF121 
                 0.65374 
                 HIF121/HOI 
                 0.17480 
                 SGI121 
                 0.03512 
                 |SGI121|/(|SGI121| + TP1) 
                 0.08792 
               
               
                 HIF311 
                 0.28730 
                 HIF311/HOI 
                 0.07682 
                 SGI311 
                 0.00735 
                 |SGI311|/(|SGI311| + TP3) 
                 0.02396 
               
               
                 HIF321 
                 0.41635 
                 HIF321/HOI 
                 0.11132 
                 SGI321 
                 0.01679 
                 |SGI321|/(|SGI321| + TP3) 
                 0.05307 
               
               
                 HIF322 
                 1.47328 
                 HIF322/HOI 
                 0.39393 
                 SGI322 
                 −0.18233  
                 |SGI322|/(|SGI322| + TP3) 
                 0.37843 
               
               
                 HIF411 
                 1.09166 
                 HIF411/HOI 
                 0.29189 
                 SGI411 
                 −0.08081  
                 |SGI411|/(|SGI411| + TP4) 
                 0.04471 
               
               
                 HIF421  
                 1.53253 
                 HIF421/HOI 
                 0.40977  
                 SGI421 
                 −0.92119 
                 |SGI421|/(|SGI421| + TP4) 
                 0.34792 
               
               
                 HIF511  
                 0.55868 
                 HIF511/HOI  
                 0.14938  
                 SGI511 
                 0.06236  
                 |SGI511|/(|SGI511| + TP5) 
                 0.09209 
               
               
                 HIF521  
                 0.78267 
                 HIF521/HOI  
                 0.20927  
                 SGI521 
                 0.26382 
                 |SGI521|/(|SGI521| + TP5) 
                 0.30028 
               
               
                   
               
             
          
         
       
     
       Fifth Embodiment 
       [0186]    As shown in  FIG. 5A  and  FIG. 5B , an optical image capturing system of the fifth preferred embodiment of the present invention includes, along an optical axis from an object side to an image side, a first lens  510 , an aperture  500 , a second lens  520 , a third lens  530 , a fourth lens  540 , a fifth lens  550 , an infrared rays filter  570 , an image plane  580 , and an image sensor  590 . 
         [0187]    The first lens  510  has positive refractive power, and is made of plastic. An object-side surface  512  thereof, which faces the object side, is a convex aspheric surface, and an image-side surface  514  thereof, which faces the image side, is a concave aspheric surface. Both the object-side surface  512  and the image-side surface  514  each has an inflection point. 
         [0188]    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 convex aspheric surface. 
         [0189]    The third lens  530  has negative refractive power, and is made of plastic. An object-side surface  532  thereof, which faces the object side, is a convex aspheric surface, and an image-side surface  534  thereof, which faces the image side, is a concave aspheric surface. The image-side surface  534  has an inflection point, and the image-side surface  534  has two inflection points. 
         [0190]    The fourth lens  540  has a positive refractive power, and is made of plastic. An object-side surface  542 , which faces the object side, is a concave aspheric surface, and an image-side surface  544 , which faces the image side, is a convex aspheric surface. Both the object-side surface  542  and the image-side surface  544  each has an inflection point. 
         [0191]    The fifth lens  550  has negative refractive power, and is made of plastic. An object-side surface  552  thereof, which faces the object side, is a convex aspheric surface, and an image-side surface  554  thereof, which faces the image side, is a concave aspheric surface. Both the object-side surface  552  and the image-side surface  554  each has an inflection point. 
         [0192]    The infrared rays filter  570  is made of glass, and between the fifth lens  550  and the image plane  580 . The infrared rays filter  570  gives no contribution to the focal length of the system. 
         [0193]    The parameters of the lenses of the fifth preferred embodiment are |f 2 |+|f 3 |+|f 4 |=202.1391 mm; |f 1 |+|f 5 |=9.3414 mm; and |f 2 |+|f 3 |+|f 4 |&gt;|f 1 |+|f 5 |, where f 1  is a focal length of the first lens  510 ; f 2  is a focal length of the second lens  520 ; f 3  is a focal length of the third lens  530 ; and f 4  is a focal length of the fourth lens  540 ; and f 5  is a focal length of the fifth lens  550 . 
         [0194]    The optical image capturing system of the fifth preferred embodiment further satisfies TP 4 =1.7208 mm and TP 5 =0.5679 mm, where TP 4  is a thickness of the fourth lens  540  on the optical axis, and TP 5  is a thickness of the fifth lens  550  on the optical axis. 
         [0195]    In the fifth preferred embodiment, the first and the fourth lenses  510  and  540  are positive lenses, and their focal lengths are f 1  and f 4 . The optical image capturing system of the fifth preferred embodiment further satisfies ΣPP=f 1 +f 4 =8.42025 mm and f 1 /(f 1 +f 4 )=0.74596, where ΣPP is a sum of the focal lengths of each positive lens. It is helpful to share the positive refractive power of the first lens  510  to the other positive lenses to avoid the significant aberration caused by the incident rays. 
         [0196]    In the fifth preferred embodiment, the second, the third, and the fifth lenses  520 ,  530 , and  550  are negative lenses, and their focal lengths are f 2 , f 3  and f 5 . The optical image capturing system of the fifth preferred embodiment further satisfies ΣNP=f 2 +f 3 +f 5 =−203.06027 mm; and f 5 /(f 2 +f 3 +f 5 )=0.01507, where ΣNP is a sum of the focal lengths of each negative lens. It is helpful to share the negative refractive power of the fourth lens  540  to the other negative lenses to avoid the significant aberration caused by the incident rays. 
         [0197]    The parameters of the lenses of the fifth embodiment are listed in Table 9 and Table 10. 
         [0000]    
       
         
               
             
               
               
               
               
               
               
               
             
               
               
               
               
               
               
               
               
             
           
               
                 TABLE 9 
               
             
             
               
                   
               
               
                 f = 3.0787 mm; f/HEP = 2.0; HAF = 49.9999 deg; tan(HAF) = 1.1917 
               
             
          
           
               
                   
                 Radius of curvature 
                 Thickness 
                   
                 Refractive  
                 Abbe 
                 Focal length 
               
               
                 Surface  
                 (mm) 
                 (mm) 
                 Material  
                 index 
                 number 
                 (mm) 
               
               
                   
               
             
          
           
               
                 0 
                 Object 
                 plane 
                 infinity 
                   
                   
                   
                   
               
               
                 1 
                 1 st  lens 
                 2.2884 
                 0.336618 
                 plastic 
                 1.565 
                 545 
                 6.28113 
               
               
                 2 
                   
                 6.06347 
                 0.036421 
                   
                   
                   
                   
               
               
                 3 
                 Aperture 
                 plane 
                 0.413274 
                   
                   
                   
                   
               
               
                 4 
                 2 nd  lens 
                 −15.3959 
                 0.380281 
                 plastic 
                 1.565 
                 58 
                 −100 
               
               
                 5 
                   
                 −21.3266 
                 0.084857 
                   
                   
                   
                   
               
               
                 6 
                 3 rd  lens 
                 5.02986 
                 0.313849 
                 plastic 
                 1.65 
                 21.4 
                 −100 
               
               
                 7 
                   
                 4.55597 
                 0.137907 
                   
                   
                   
                   
               
               
                 8 
                 4 th  lens 
                 −5.91061 
                 1.720819 
                 plastic 
                 1.565 
                 58 
                 2.13912 
               
               
                 9 
                   
                 −1.112 
                 0.05 
                   
                   
                   
                   
               
               
                 10 
                 5 th  lens 
                 1.58624 
                 0.567933 
                 plastic 
                 1.583 
                 30.2 
                 −3.06027 
               
               
                 11 
                   
                 0.73059 
                 1 
                   
                   
                   
                   
               
               
                 12 
                 Filter 
                 plane 
                 0.2 
                   
                 1.517 
                 64.2 
                   
               
               
                 13 
                   
                 plane 
                 0.174895 
                   
                   
                   
                   
               
               
                 14 
                 Image 
                 plane 
                 0.046201 
                   
                   
                   
                   
               
               
                   
                 plane 
               
               
                   
               
               
                 Reference wavelength: 555 nm 
               
             
          
         
       
     
         [0000]    
       
         
               
             
               
               
               
               
               
               
             
           
               
                 TABLE 10 
               
               
                   
               
               
                 Coefficients of the aspheric surfaces 
               
               
                   
               
             
             
               
                   
               
             
          
           
               
                 Surface 
                 1 
                 2 
                 4 
                 5 
                 6 
               
               
                   
               
               
                 k 
                 −1.976732 
                 −4.760733 
                 −17.314763 
                 −49.0966 
                 −37.145686 
               
               
                 A4 
                 2.39327E−02 
                 −7.20325E−03 
                 −2.82654E−02 
                 −1.24269E−01 
                 −1.91922E−01 
               
               
                 A6 
                 2.40830E−03 
                 −2.19446E−02 
                 −6.66240E−02 
                 −7.19965E−03 
                 −1.13363E−03 
               
               
                 A8 
                 −3.33576E−02  
                 −2.66743E−02 
                  2.84506E−02 
                 −7.25246E−03 
                 −6.29571E−02 
               
               
                 A10 
                 4.13804E−02 
                  3.57219E−02 
                 −7.08317E−02 
                 −6.41329E−02 
                 −3.24106E−03 
               
               
                 A12 
                 −5.39983E−02  
                 −8.28740E−02 
                  5.47980E−02 
                  6.27727E−02 
                  2.98921E−02 
               
               
                 A14 
                 9.59441E−03 
                  3.06504E−02 
                 −4.82572E−02 
                 −3.26909E−02 
                 −2.32631E−02 
               
               
                   
               
               
                 Surface 
                 7 
                 8 
                 9 
                 10 
                 11 
               
               
                   
               
               
                 k 
                 −43.335173 
                 −41.890477 
                 −1.0647 
                 −12.349005 
                 −3.352312 
               
               
                 A4 
                 −5.57413E−02  
                 −1.78301E−02 
                  5.35730E−02 
                 −3.12612E−02 
                 −3.61899E−02 
               
               
                 A6 
                 −3.25671E−02  
                  4.35962E−03 
                 −2.13708E−02 
                 −5.26617E−03 
                  6.55970E−03 
               
               
                 A8 
                 1.55963E−02 
                  1.41693E−03 
                 −8.60522E−05 
                  2.06026E−03 
                 −7.95004E−04 
               
               
                 A10 
                 2.80752E−03 
                  1.86050E−04 
                  7.37359E−04 
                 −2.94102E−04 
                  4.41756E−05 
               
               
                 A12 
                 −3.87913E−03  
                 −6.96073E−05 
                  1.99661E−04 
                  3.86245E−05 
                 −4.03072E−07 
               
               
                 A14 
                 8.98125E−04 
                 −4.94186E−06 
                 −3.62206E−05 
                 −4.55152E−06 
                 −5.84491E−08 
               
               
                   
               
             
          
         
       
     
         [0198]    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. 
         [0199]    The exact parameters of the fifth embodiment based on Table 9 and Table 10 are listed in the following table: 
         [0000]    
       
         
               
             
               
               
               
               
               
               
             
               
               
               
               
             
               
               
             
               
               
               
               
               
               
             
               
               
               
               
               
             
           
               
                   
               
               
                 Fifth embodiment (Reference wavelength: 555 nm) 
               
               
                   
               
             
             
               
                   
               
             
          
           
               
                 InRS11 
                 InRS12 
                 InRS21 
                 InRS22 
                 InRS31 
                 InRS32 
               
               
                 0.17305 
                 0.03643 
                 −0.11299  
                 −0.29324  
                 −0.32297  
                 −0.16962  
               
               
                 InRS41 
                 InRS42 
                 InRS51 
                 InRS52 
                 |InRS51|/TP5 
                 |InRS52|/TP5 
               
               
                 −0.12182  
                 −1.26900  
                 −0.41231  
                 0.10376 
                 0.6875  
                 0.1730  
               
               
                 ODT 
                 TDT 
                 InRSO 
                 InRSI 
                 Σ|InRS| 
               
               
                 2.03715% 
                 1.07997% 
                 1.14315 
                 1.87206 
                 3.01520 
               
             
          
           
               
                 Σ|InRS|/ 
                 Σ|InRS|/ 
                 (|InRS32| + |InRS41|)/IN34 
                 (|InRS42| + |InRS51|)/IN45 
               
               
                 InTL 
                 HOS 
               
               
                 0.74598 
                 0.55193 
                 2.11329 
                 33.62626 
               
             
          
           
               
                 (|InRS31| + |InRS32| + |InRS41| + |InRS42|)/ 
                 (|InRS31| + |InRS32| + |InRS41| + |InRS42|)/ 
               
               
                 InTL 
                 HOS 
               
               
                 0.47178 
                 0.34905 
               
             
          
           
               
                 |f/f1| 
                 |f/f2| 
                 |f/f3| 
                 |f/f4| 
                 |f/f5| 
                 |f1/f2| 
               
               
                 0.49015 
                 0.03079 
                 0.03079 
                 1.43925 
                 1.00603 
                 0.06281 
               
               
                 Σ PPR 
                 Σ NPR 
                 Σ PPR/ 
                 Σ PP 
                 Σ NP 
                 IN12/f 
               
               
                   
                   
                 |Σ NPR| 
               
               
                 1.92940 
                 1.06760 
                 1.80723 
                 8.42025 
                 −203.06027   
                 0.14607 
               
               
                 f1/Σ PP 
                 f5/Σ NP 
                 HVT51 
                 HVT52 
                 HVT52/ 
                 HVT52/ 
               
               
                   
                   
                   
                   
                 HOI 
                 HOS 
               
               
                 0.74596 
                 0.01507 
                 1.24682 
                 2.23101 
                 0.62372 
                 0.42760 
               
               
                 InTL 
                 HOS 
                 HOS/HOI 
                 InS/HOS 
                 InTL/HOS 
                 Σ TP/InTL 
               
               
                 5.45542 
                 4.13739 
                 1.45867 
                 0.92428 
                 0.75840 
                 0.82485 
               
             
          
           
               
                 HVT41 
                 HVT42 
                 (TP1 + IN12)/ 
                 (TP5 + IN45)/ 
                 (TP2 + TP3 + TP4)/Σ TP 
               
               
                   
                   
                 TP2 
                 TP4 
               
               
                 1.4949 
                 0     
                 2.01466 
                 0.38503 
                  0.71311 
               
               
                   
               
             
          
         
       
     
         [0200]    The exact parameters of the inflection points of the fifth embodiment based on Table 9 and Table 10 are listed in the following table: 
         [0000]    
       
         
               
             
               
               
               
               
               
               
               
               
             
           
               
                   
               
               
                 Fifth embodiment (Reference wavelength: 555 nm) 
               
               
                   
               
             
             
               
                   
               
             
          
           
               
                 HIF111 
                 0.81413 
                 HIF111/HOI 
                 0.21768 
                 SGI111 
                 0.14663 
                 |SGI111|/(|SGI111| + TP1) 
                 0.30343 
               
               
                 HIF121 
                 0.57878 
                 HIF121/HOI 
                 0.15475 
                 SGI121 
                 0.02547 
                 |SGI121|/(|SGI121| + TP1) 
                 0.07034 
               
               
                 HIF311 
                 0.27133 
                 HIF311/HOI 
                 0.07255 
                 SGI311 
                 0.00609 
                 |SGI311|/(|SGI311| + TP3) 
                 0.01904 
               
               
                 HIF321 
                 0.41517 
                 HIF321/HOI 
                 0.11101 
                 SGI321 
                 0.01569 
                 |SGI321|/(|SGI321| + TP3) 
                 0.04760 
               
               
                 HIF322 
                 1.42335 
                 HIF322/HOI 
                 0.38057 
                 SGI322 
                 −0.14726 
                 |SGI322|/(|SGI322| + TP3) 
                 0.31936 
               
               
                 HIF411 
                 1.06257 
                 HIF411/HOI 
                 0.28411 
                 SGI411 
                 −0.08966 
                 |SGI411|/(|SGI411| + TP4) 
                 0.04952 
               
               
                 HIF421 
                 1.53954 
                 HIF421/HOI 
                 0.41164 
                 SGI421 
                 −0.94557 
                 |SGI421|/(|SGI421| + TP4) 
                 0.35462 
               
               
                 HIF511 
                 0.59785 
                 HIF511/HOI 
                 0.15985 
                 SGI511 
                 0.08193 
                 |SGI511|/(|SGI511| + TP5) 
                 0.12607 
               
               
                 HIF521  
                 0.77247  
                 HIF521/HOI  
                 0.20654 
                 SGI521 
                 0.26955  
                 |SGI521|/(|SGI521| + TP5) 
                 0.32185 
               
               
                   
               
             
          
         
       
     
         [0201]    It must be pointed out that the embodiments described above are only some preferred 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.