# Patent

## Title
Optical image capturing system

## 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 can with positive refractive power having an object-side surface which can be convex; a second lens with refractive power; a third lens with refractive power; a fourth lens with refractive power; and a fifth lens which can have negative refractive power, wherein an image-side surface thereof can be concave, and at least one surface of the fifth lens has an inflection point; both surfaces of each of the five lenses are aspheric. The optical lens can increase aperture value and improve the imagining quality for use in compact cameras.

## Background
The current application claims a foreign priority to application number 104106639 filed on Mar. 3, 2015 in Taiwan.
BACKGROUND OF THE INVENTION
1. Technical Field
The present invention relates generally to an optical system, and more particularly to a compact optical image capturing system for an electronic device.
2. Description of Related Art
In recent years, with the rise of portable electronic devices having camera functionalities, the demand for an optical image capturing system is raised gradually. The image sensing device of 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.
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.
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
The aspect of embodiment of the present disclosure directs to an optical image capturing system and an optical image capturing lens which use combination of refractive powers, convex and concave surfaces of five-piece optical lenses (the convex or concave surface in the disclosure denotes the geometrical shape of an image-side surface or an object-side surface of each lens on an optical axis) to increase the quantity of incoming light of the optical image capturing system, and to improve imaging quality for image formation, so as to be applied to minimized electronic products.
The term and its definition to the lens parameter in the embodiment of the present are shown as below for further reference.
The lens parameter related to a length or a height in the lens element:
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 IN12 (instance). A central thickness of the first lens element of the optical image capturing system on the optical axis is denoted by TP1 (instance).
The lens parameter related to a material in the lens:
An Abbe number of the first lens element in the optical image capturing system is denoted by NA1 (instance). A refractive index of the first lens element is denoted by Nd1 (instance).
The lens parameter related to a view angle in the lens:
A view angle is denoted by AF. Half of the view angle is denoted by HAF. A major light angle is denoted by MRA.
The lens parameter related to exit/entrance pupil in the lens
An entrance pupil diameter of the optical image capturing system is denoted by HEP.
The lens parameter related to a depth of the lens shape
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 InRS51 (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 InRS52 (instance).
The lens parameter related to the lens shape:
A critical point C is a tangent point on a surface of a specific lens, and the tangent point is tangent to a plane perpendicular to the optical axis and the tangent point cannot be a crossover point on the optical axis. To follow the past, a distance perpendicular to the optical axis between a critical point C41 on the object-side surface of the fourth lens and the optical axis is HVT41 (instance). A distance perpendicular to the optical axis between a critical point C42 on the image-side surface of the fourth lens and the optical axis is HVT42 (instance). A distance perpendicular to the optical axis between a critical point C51 on the object-side surface of the fifth lens and the optical axis is HVT51 (instance). A distance perpendicular to the optical axis between a critical point C52 on the image-side surface of the fifth lens and the optical axis is HVT52 (instance). The object-side surface of the fifth lens has one inflection point IF511 which is nearest to the optical axis, and the sinkage value of the inflection point IF511 is denoted by SGI511. A distance perpendicular to the optical axis between the inflection point IF511 and the optical axis is HIF511 (instance). The image-side surface of the fifth lens has one inflection point IF521 which is nearest to the optical axis, and the sinkage value of the inflection point IF521 is denoted by SGI521 (instance). A distance perpendicular to the optical axis between the inflection point IF521 and the optical axis is HIF521 (instance). The object-side surface of the fifth lens has one inflection point IF512 which is the second nearest to the optical axis, and the sinkage value of the inflection point IF512 is denoted by SGI512 (instance). A distance perpendicular to the optical axis between the inflection point IF512 and the optical axis is HIF512 (instance). The image-side surface of the fifth lens has one inflection point IF522 which is the second nearest to the optical axis, and the sinkage value of the inflection point IF522 is denoted by SGI522 (instance). A distance perpendicular to the optical axis between the inflection point IF522 and the optical axis is HIF522 (instance).
The lens element parameter related to an aberration:
Optical distortion for image formation in the optical image capturing system is denoted by ODT. TV distortion for image formation in the optical image capturing system is denoted by TDT. Further, the range of the aberration offset for the view of image formation may be limited to 50%-100% field. An offset of the spherical aberration is denoted by DFS. An offset of the coma aberration is denoted by DFC.
The 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.
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 lenses from the first lens to the fifth lens have refractive power. Both the object-side surface and the image-side surface of the fifth lens are aspheric surfaces. The optical image capturing system satisfies:

1.2≦f/HEP≦6.0 and 0 0.5≦HOS/f≦5.0; and 0<Σ|InRS|/InTL≦3

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; Σ|InRS| is a sum of InRSO and InRSI, where InRSO is a sum of absolute values of the displacements for each lens with refractive power from the central point on the object-side surface passed through by the optical axis to the point on the optical axis where the projection of the maximum effective semi diameter of the object-side surface ends, and InRSI is a sum of absolute values of the displacements for each lens with refractive power from the central point on the image-side surface passed through by the optical axis to the point on the optical axis where the projection of the maximum effective semi diameter of the image-side surface ends; and InTL is a distance in parallel with the optical axis between the object-side surface of the first lens and the image-side surface of the fourth lens.
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. The second lens has refractive power, and the third and the fourth lenses have refractive power. The fifth lens has refractive power, and both an object-side surface and an image-side surface thereof are aspheric surfaces. The optical image capturing system satisfies:

1.2≦f/HEP≦6.0; 0; 5≦HOS/f≦5.0; 0<Σ|InRS|/InTL≦3; |TDT|<60%; and |ODT|≦50%;

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; Σ|InRS| is a sum of InRSO and InRSI, where InRSO is a sum of absolute values of the displacements for each lens with refractive power from the central point on the object-side surface passed through by the optical axis to the point on the optical axis where the projection of the maximum effective semi diameter of the object-side surface ends, and InRSI is a sum of absolute values of the displacements for each lens with refractive power from the central point on the image-side surface to the point on the optical axis where the projection of the maximum effective semi diameter of the image-side surface ends; and InTL is a distance in parallel with the optical axis between the object-side surface of the first lens and the image-side surface of the fourth lens.
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 have at least an inflection point on a side thereof respectively. 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 refractive power, wherein an image-side surface thereof has at least an inflection point, and both an object-side surface and the image side surface thereof are aspheric surfaces. The optical image capturing system satisfies:

1.2≦f/HEP≦3.0; 0.5≦HOS/f≦3.0; 0<Σ|InRS|/InTL≦3; |TDT|<60%; and |ODT|≦50%;

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; Σ|InRS| is a sum of InRSO and InRSI, where InRSO is a sum of absolute values of the displacements for each lens with refractive power from the central point on the object-side surface passed through by the optical axis to the point on the optical axis where the projection of the maximum effective semi diameter of the object-side surface ends, and InRSI is a sum of absolute values of the displacements for each lens with refractive power from the central point on the image-side surface passed through by the optical axis to the point on the optical axis where the projection of the maximum effective semi diameter of the image-side surface ends; and InTL is a distance in parallel with the optical axis between the object-side surface of the first lens and the image-side surface of the fourth lens.
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 size is 1/2.3′′, and a preferable pixel size of the image sensor is less than 1.12 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.
In an embodiment, the optical image capturing system of the present invention is available to high-quality (4K2K, so called UHD and QHD) recording, and provides high quality of image.
In an embodiment, a height of the optical image capturing system (HOS) can be reduced while |f1|>f5.
In an embodiment, when the lenses satisfy |f2|+|f3|+|f4|>|f1|+|f5|, 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 correct the aberration of the system.
In an embodiment, the fifth lens has negative refractive power, and an image-side surface thereof can be concave, it may reduce back focal length and size. Besides, the fifth lens has at least an inflection point on at least a surface thereof, which may reduce an incident angle of the light of an off-axis field of view and correct the aberration of the off-axis field of view.



BRIEF DESCRIPTION OF THE SEVERAL VIEWS OF THE DRAWINGS
The present invention will be best understood by referring to the following detailed description of some illustrative embodiments in conjunction with the accompanying drawings, in which
FIG. 1A is a schematic diagram of a first preferred embodiment of the present invention;
FIG. 1B shows curve diagrams of longitudinal spherical aberration, astigmatic field, and optical distortion of the optical image capturing system in the order from left to right of the first embodiment of the present application;
FIG. 1C shows a curve diagram of TV distortion of the optical image capturing system of the first embodiment of the present application;
FIG. 2A is a schematic diagram of a second preferred embodiment of the present invention;
FIG. 2B shows curve diagrams of longitudinal spherical aberration, astigmatic field, and optical distortion of the optical image capturing system in the order from left to right of the second embodiment of the present application;
FIG. 2C shows a curve diagram of TV distortion of the optical image capturing system of the second embodiment of the present application;
FIG. 3A is a schematic diagram of a third preferred embodiment of the present invention;
FIG. 3B shows curve diagrams of longitudinal spherical aberration, astigmatic field, and optical distortion of the optical image capturing system in the order from left to right of the third embodiment of the present application;
FIG. 3C shows a curve diagram of TV distortion of the optical image capturing system of the third embodiment of the present application;
FIG. 4A is a schematic diagram of a fourth preferred embodiment of the present invention;
FIG. 4B shows curve diagrams of longitudinal spherical aberration, astigmatic field, and optical distortion of the optical image capturing system in the order from left to right of the fourth embodiment of the present application;
FIG. 4C shows a curve diagram of TV distortion of the optical image capturing system of the fourth embodiment of the present application;
FIG. 5A is a schematic diagram of a fifth preferred embodiment of the present invention;
FIG. 5B shows curve diagrams of longitudinal spherical aberration, astigmatic field, and optical distortion of the optical image capturing system in the order from left to right of the fifth embodiment of the present application;
FIG. 5C shows a curve diagram of TV distortion of the optical image capturing system of the fifth embodiment of the present application.
FIG. 6A is a schematic diagram of a sixth preferred embodiment of the present invention;
FIG. 6B shows curve diagrams of longitudinal spherical aberration, astigmatic field, and optical distortion of the optical image capturing system in the order from left to right of the sixth embodiment of the present application; and
FIG. 6C shows a curve diagram of TV distortion of the optical image capturing system of the sixth embodiment of the present application;
FIG. 7A is a schematic diagram of a seventh preferred embodiment of the present invention;
FIG. 7B shows curve diagrams of longitudinal spherical aberration, astigmatic field, and optical distortion of the optical image capturing system in the order from left to right of the seventh embodiment of the present application; and
FIG. 7C shows a curve diagram of TV distortion of the optical image capturing system of the seventh embodiment of the present application.



DETAILED DESCRIPTION OF THE INVENTION
An optical image capturing system of the present invention includes a first lens, a second lens, a third lens, a fourth lens, 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.
The optical image capturing system works in three wavelengths, including 486.1 nm, 587.5 nm, and 656.2 nm, wherein 587.5 mm is the main reference wavelength, and 555 nm is adopted as the main reference wavelength for extracting features.
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 fn of each of lenses with negative refractive power; ΣPPR is a sum of the PPRs of each positive lens, and ΣNPR is a sum of the NPRs of each negative lens. It is helpful to control of an entire refractive power and an entire length of the optical image capturing system.
HOS is a height of the optical image capturing system, and when the ratio of HOS/f approaches to 1, it is helpful for decrease of size and increase of imaging quality.
In an embodiment, the optical image capturing system of the present invention satisfies 0<ΣPP≦200 and f1/ΣPP≦0.85, 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 fn 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 E NP<−0.1 and f5/ΣNP≦0.85, which is helpful to control of an entire refractive power and an entire length of the optical image capturing system.
The first lens has positive refractive power, and an object-side surface, which faces the object side, thereof can be convex. It may modify the positive refractive power of the first lens as well as shorten the entire length of the system.
The second lens can have negative refractive power, which may correct the aberration of the first lens.
The third lens can have positive refractive power, which may share the positive refractive power of the first lens, and avoid the increase of the aberration to reduce the sensitive of the optical image capturing system.
The fourth lens can have positive refractive power, and an image-side surface thereof, which faces the image side, can be 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.
The fifth lens has negative refractive power, and an image-side surface thereof, which faces the image side, can be 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 correct 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.
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≦5.0, 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 for reduction of size of the system for used in compact cameras.
The optical image capturing system of the present invention further is provided with an aperture to increase image quality.
In the optical image capturing system of the present invention, the aperture could be a front aperture or a middle aperture, wherein the front aperture is provided between the object and the first lens, and the middle is provided between the first lens and the image plane. The front aperture provides a long distance between an exit pupil of the system and the image plane, which allows more elements to be installed. The middle could enlarge a view angle of view of the system and increase the efficiency of the image sensor. The optical image capturing system satisfies 0.5≦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 for size reduction and wide angle.
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 for the contrast of image and yield of manufacture, and provides a suitable back focal length for installation of other elements.
The optical image capturing system of the present invention satisfies 0.1≦|R1/R2|≦5, and a preferable range is 0.1≦|R1/R2|≦4, where R1 is a radius of curvature of the object-side surface of the first lens, and R2 is a radius of curvature of the image-side surface of the first lens. It provides the first lens with a suitable positive refractive power to reduce the increase rate of the spherical aberration.
The optical image capturing system of the present invention satisfies −200<(R9−R10)/(R9+R10)<30, where R9 is a radius of curvature of the object-side surface of the fifth lens, and R10 is a radius of curvature of the image-side surface of the fifth lens. It may modify the astigmatic field curvature.
The optical image capturing system of the present invention satisfies 0<IN12/f≦2.0, and a preferable range is 0.01≦IN12/f≦0.20, where IN12 is a distance on the optical axis between the first lens and the second lens. It may correct chromatic aberration and improve the performance.
The optical image capturing system of the present invention satisfies 0<(TP1+IN12)/TP2≦10, where TP1 is a central thickness of the first lens on the optical axis, and TP2 is a central thickness of the second lens on the optical axis. It may control the sensitivity of manufacture of the system and improve the performance.
The optical image capturing system of the present invention satisfies 0.2≦(TP5+IN45)/TP4≦3, where TP4 is a central thickness of the fourth lens on the optical axis, TP5 is a central thickness of the fifth lens on the optical axis, and IN45 is a distance between the fourth lens and the fifth lens. It may control the sensitivity of manufacture of the system and improve the performance.
The optical image capturing system of the present invention satisfies 0.1≦(TP2+TP3+TP4)/ΣTP≦0.9, and a preferable range is 0.4≦(TP2+TP3+TP4)/ΣTP≦0.8, where TP2 is a central thickness of the second lens on the optical axis, TP3 is a central thickness of the third lens on the optical axis, TP4 is a central thickness of the fourth lens on the optical axis, TP5 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 correct the aberration of the incident rays and reduce the height of the system.
The optical image capturing system of the present invention satisfies 0≦|InRS11|+|InRS12|≦2 mm and 1.01≦(|InRS11|+TP1+|InRS12|)/TP1≦3, where InRS11 is a displacement from a point on the object-side surface of the first lens passed through by the optical axis, to a point on the optical axis where a projection of the maximum effective semi diameter of the object-side surface of the first lens ends, wherein InRS11 is positive while the displacement is toward the image side, and InRS11 is negative while the displacement is toward the object side; InRS12 is a displacement from a point on the image-side surface of the first lens passed through by the optical axis, to a point on the optical axis where a projection of the maximum effective semi diameter of the image-side surface of the first lens ends; and TP1 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.
The optical image capturing system of the present invention satisfies 0 mm<|InRS21|+|InRS22|≦2 mm and 1.01≦(|InRS2|+TP2+|InRS22|)/TP2≦5, where InRS21 is a displacement from a point on the object-side surface of the second lens passed through by the optical axis, to a point on the optical axis where a projection of the maximum effective semi diameter of the object-side surface of the second lens ends; InRS22 is a displacement from a point on the image-side surface of the second lens passed through by the optical axis, to a point on the optical axis where a projection of the maximum effective semi diameter of the image-side surface of the second lens ends; and TP2 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.
The optical image capturing system of the present invention satisfies 0 mm<|InRS31|+|InRS32|≦2 mm and 1.01≦(|InRS31|+TP3+|InRS32|)/TP3≦10, where InRS31 is a displacement from a point on the object-side surface of the third lens passed through by the optical axis, to a point on the optical axis where a protection of the maximum effective semi diameter of the object-side surface of the third lens ends; InRS32 is a displacement from a point on the image-side surface of the third lens passed through by the optical axis, to a point on the optical axis where a projection of the maximum effective semi diameter of the image-side surface of the third lens ends; and TP3 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.
The optical image capturing system of the present invention satisfies 0 mm<|InRS41|+|InRS42|≦2 mm and 1.01≦(|InRS41|+TP4+|InRS42|)/TP4≦10, where InRS41 is a displacement from a point on the object-side surface of the fourth lens passed through by the optical axis, to a point on the optical axis where a projection of the maximum effective semi diameter of the object-side surface of the fourth lens ends; InRS42 is a displacement from a point on the image-side surface of the fourth lens passed through by the optical axis, to a point on the optical axis where a projection of the maximum effective semi diameter of the image-side surface of the fourth lens ends; and TP4 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.
The optical image capturing system of the present invention satisfies 0 mm<|InRS51|+|InRS52|≦3 mm and 1.01≦(|InRS51|+TP5+|InRS52|)/TP5≦20, where InRS51 is a displacement from a point on the object-side surface of the fifth lens passed through by the optical axis, to a point on the optical axis where a projection of the maximum effective semi diameter of the object-side surface of the fifth lens ends; InRS52 is a displacement from a point on the image-side surface of the fifth lens passed through by the optical axis, to a point on the optical axis where a projection of the maximum effective semi diameter of the image-side surface of the fifth lens ends; and TP5 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.
The optical image capturing system of the present invention satisfies 0<Σ|InRS|≦15 mm, where InRSO is a sum of absolute values of the displacements for each lens with refractive power from the central point on the object-side surface passed through by the optical axis to the point on the optical axis where the projection of the maximum effective semi diameter of the object-side surface ends, i.e. InRSO=|InRS11|+|InRS21|+|InRS31|; InRSI is of a sum of absolute values of the displacements for 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=|InRS12|+|InRS22|+|InRS32|; and Σ|InRS| is an sum of absolute values of the displacements for each lens with refractive power from the central point passed through by the optical axis to a point on the optical axis where a projection of the maximum effective semi diameter ends, i.e. Σ|InRS|=InRSO+InRSI. It may efficiently increase the capability of modifying the off-axis view field aberration of the system.
The optical image capturing system of the present invention satisfies 0<Σ|InRS|/InTL≦3 and 0<Σ|InRS|/HOS≦2. It may reduce the total height of the system and efficiently increase the capability of modifying the off-axis view field aberration of the system.
The optical image capturing system of the present invention satisfies 0<|InRS41|+|InRS42|+|InRS51|+|InRS52|≦5 mm; 0<(|InRS41|+|InRS42|+|InRS51|+|InRS52|)/InTL≦2; and 0<(|InRS41|+|InRS42|+|InRS51|+|InRS52|)/HOS≦2. It may efficiently increase the capability of modifying the off-axis view field aberration of the system.
The optical image capturing system of the present invention satisfies HVT41≧0 mm and HVT42≧0 mm, where HVT41 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 HVT42 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 off-axis view field of the system.
The optical image capturing system of the present invention satisfies HVT51≧0 mm and HVT52≧0 mm, where HVT51 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 HVT52 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.
The optical image capturing system of the present invention satisfies 0.2≦HVT52/HOI≦0.9, and a preferred range is 0.3≦HVT52/HOI≦0.8. It may efficiently modify the aberration of the off-axis view field of the system.
The optical image capturing system of the present invention satisfies 0≦HVT52/HOS≦0.5, and a preferred range is 0.2≦HVT52/HOS≦0.45. It may efficiently modify the aberration of the off-axis view field of the system.
In an embodiment, the lenses of high Abbe number and the lenses of low Abbe number are arranged in an interlaced arrangement that could be helpful for correction of aberration of the system.
An equation of aspheric surface is

z=ch2/[1+[1(k+1)c2h2]0.5]+A4h4+A6h6+A8h8+A10h10+A12h12+A14h14+A16h16+A18h18+A20h20  (1)

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.
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 for reduction of the height of the system.
When the lens has a convex surface, which means that the surface is convex around a position, through which the optical axis passes, and when the lens has a concave surface, which means that the surface is concave around a position, through which the optical axis passes.
The optical image capturing system of the present invention further is provided with a diaphragm to increase image quality.
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 for size reduction and wide angle.
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.
We provide several embodiments in conjunction with the accompanying drawings for the best understanding, which are:
First Embodiment
As shown in FIG. 1A and FIG. 1B, an optical image capturing system 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.
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 SGI121=0.0387148 mm and |SGI121|/(|SGI121|+TP1)=0.061775374, where SGI121 is a displacement in parallel with the optical axis from a point on the image-side surface of the first lens, through which the optical axis passes, to the inflection point on the image-side surface, which is the closest to the optical axis.
The first lens 110 further satisfies HIF121=0.61351 mm and HIF121/HOI=0.209139253, where HIF121 is a displacement perpendicular to the optical axis from a point on the image-side surface of the first lens, through which the optical axis passes, to the inflection point, which is the closest to the optical axis.
The second lens 120 has 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 SGI221=−0.0657553 mm and |SGI221|/(|SGI221|+TP2)=0.176581512, where SGI221 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.
The second lens further satisfies HIF221=0.84667 mm and HIF221/HOI=0.288621101, where HIF221 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.
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 SGI311=−0.341027 mm; SGI321=−0.231534 mm and |SGI311|/(|SGI311|+TP3)=0.525237108 and |SGI321|/(|SGI321|+TP3)=0.428934269, where SGI311 is a displacement in parallel with the optical axis, from a point on the object-side surface of the third lens, through which the optical axis passes, to the inflection point on the object-side surface, which is the closest to the optical axis, and SGI321 is a displacement in parallel with the optical axis, from a point on the image-side surface of the third lens, through which the optical axis passes, to the inflection point on the image-side surface, which is the closest to the optical axis.
The third lens 130 satisfies SGI312=−0.376807 mm; SGI322=−0.382162 mm; |SGI312|/(|SGI312|+TP5)=0.550033428; |SGI322|/(|SGI322|+TP3)=0.55352345, where SGI312 is a displacement in parallel with the optical axis, from a point on the object-side surface of the third lens, through which the optical axis passes, to the inflection point on the object-side surface, which is the second closest to the optical axis, and SGI322 is a displacement in parallel with the optical axis, from a point on the image-side surface of the third lens, through which the optical axis passes, to the inflection point on the image-side surface, which is the second closest to the optical axis.
The third lens 130 further satisfies HIF311=0.987648 mm; HIF321=0.805604 mm; HIF311/HOI=0.336679052; and HIF321/HOI=0.274622124, where HIF311 is a distance perpendicular to the optical axis between the inflection point on the object-side surface of the third lens, which is the closest to the optical axis, and the optical axis, and HIF321 is a distance perpendicular to the optical axis between the inflection point on the image-side surface of the third lens, which is the closest to the optical axis, and the optical axis.
The third lens 130 further satisfies HIF312=1.0493 mm; HIF322=1.17741 mm; HIF312/HOI=0.357695585; and HIF322/HOI=0.401366968, where HIF312 is a distance perpendicular to the optical axis between the inflection point on the object-side surface of the third lens, which is the second the closest to the optical axis, and the optical axis, and HIF322 is a distance perpendicular to the optical axis, between the inflection point on the image-side surface of the third lens, which is the second the closest to the optical axis, and the optical axis.
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 SGI411=0.0687683 mm and |SGI411|/(|SGI411|+TP4)=0.118221297, where SGI411 is a displacement in parallel with the optical axis from a point on the object-side surface of the fourth lens, through which the optical axis passes, to the inflection point on the object-side surface, which is the closest to the optical axis.
The fourth lens 140 further satisfies HIF411=0.645213 mm and HIF411/HOI=0.21994648, where HIF411 is a distance perpendicular to the optical axis between the inflection point on the object-side surface of the fourth lens, which is the closest to the optical axis, and the optical axis.
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 SGI511=−0.236079 mm; SGI521=0.023266 mm; |SGI511|/(|SGI511|+TP5)=0.418297214; and |SGI521|/(|SGI521|+TP5)=0.066177809, where SGI511 is a displacement in parallel with the optical axis, from a point on the object-side surface of the fifth lens, through which the optical axis passes, to the inflection point on the object-side surface, which is the closest to the optical axis, and SGI521 is a displacement in parallel with the optical axis, from a point on the image-side surface of the fifth lens, through which the optical axis passes, to the inflection point on the image-side surface, which is the closest to the optical axis.
The fifth lens 150 further satisfies SGI512=−0.325042 mm and |SGI512|/(|SGI512|+TP5)=0.497505143, where SGI512 is a displacement in parallel with the optical axis, from a point on the object-side surface of the fifth lens, through which the optical axis passes, to the inflection point on the object-side surface, which is the second closest to the optical axis.
The fifth lens 150 further satisfies SGI513=−0.538131 mm; and |SGI513|/(|SGI513|+TP5)=0.621087839, where SGI513 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.
The fifth lens 150 further satisfies HIF511=1.21551 mm; HIF521=0.575738 mm; HIF511/HOI=0.414354866; and HIF521/HOI=0.196263167, where HIF511 is a distance perpendicular to the optical axis between the inflection point on the object-side surface of the fifth lens, which is the closest to the optical axis, and the optical axis, and HIF521 is a distance perpendicular to the optical axis between the inflection point on the image-side surface of the fifth lens, which is the closest to the optical axis, and the optical axis.
The fifth lens 150 further satisfies HIF512=1.49061 mm and HIF512/HOI=0.508133629, where HIF512 is a distance perpendicular to the optical axis between the inflection point on the object-side surface of the fifth lens, which is the second the closest to the optical axis, and the optical axis.
The fifth lens 150 further satisfies HIF513=2.00664 mm and HIF513/HOI=0.684042952, where HIF513 is a distance perpendicular to the optical axis between the inflection point on the object-side surface of the fifth lens, which is the third closest to the optical axis, and the optical axis.
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.
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.
The parameters of the lenses of the first preferred embodiment are f1=3.7751 mm; |f/f1|=0.9885; f5=−3.6601 mm; |f1|>f5; and |f1/f5|=1.0314, where f1 is a focal length of the first lens 110; and f5 is a focal length of the fifth lens 150.
The first preferred embodiment further satisfies |f2|+|f3|+|f4|=77.3594 mm; |f1|+|f5|=7.4352 mm; and |f2|+|f3|+|f4|>|f1|+|f5|, where f2 is a focal length of the second lens 120; f3 is a focal length of the third lens 130; and f4 is a focal length of the fourth lens 140.
The optical image capturing system of the first preferred embodiment further satisfies ΣPPR=f/f1+f/f4=1.9785; ΣNPR=f/f2+f/f3+f/f5=−1.2901; ΣPPR/|ΣNPR|=1.5336; |f/f1|=0.9885; |f/f2|=0.0676; |f/f3|=0.2029; If/f41=0.9900; and |f/f5|=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 fn of each of lenses with negative refractive power.
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; InS=4.19216 mm; and InS/HOS=0.9316, 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; HOT 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.
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 for the contrast of image and yield of manufacture, and provides a suitable back focal length for installation of other elements.
The optical image capturing system of the first preferred embodiment further satisfies |R1/R2|=0.3261, where R1 is a radius of curvature of the object-side surface 112 of the first lens 110, and R2 is a radius of curvature of the image-side surface 114 of the first lens 110. It provides the first lens with a suitable positive refractive power to reduce the increase rate of the spherical aberration.
The optical image capturing system of the first preferred embodiment further satisfies (R9−R10)/(R9+R10)=−2.9828, where R9 is a radius of curvature of the object-side surface 152 of the fifth lens 150, and R10 is a radius of curvature of the image-side surface 154 of the fifth lens 150. It may modify the astigmatic field curvature.
The optical image capturing system of the first preferred embodiment further satisfies ΣPP=f1+f4=7.5444 mm and f1/(f1+f4)=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 lens to avoid the significant aberration caused by the incident rays.
The optical image capturing system of the first preferred embodiment further satisfies ΣNP=f2+f3+f5=−77.2502 mm and f5/(f2+f3+f5)=0.0474, where f2, f3, and f5 are focal lengths of the second, the third, and the fifth lenses, and ΣNP is a sum of the focal lengths fn of each lens with negative refractive power. It is helpful to share the negative refractive power of the fifth lens 150 to other negative lenses to avoid the significant aberration caused by the incident rays.
The optical image capturing system of the first preferred embodiment further satisfies IN12=0.511659 mm and IN12/f=0.1371, where IN12 is a distance on the optical axis between the first lens 110 and the second lens 120. It may correct chromatic aberration and improve the performance.
The optical image capturing system of the first preferred embodiment further satisfies TP1=0.587988 mm; TP2=0.306624 mm; and (TP1+IN12)/TP2=3.5863, where TP1 is a central thickness of the first lens 110 on the optical axis, and TP2 is a central thickness of the second lens 120 on the optical axis. It may control the sensitivity of manufacture of the system and improve the performance.
The optical image capturing system of the first preferred embodiment further satisfies TP4=0.5129 mm; TP5=0.3283 mm; and (TP5+IN45)/TP4=1.5095, where TP4 is a central thickness of the fourth lens 140 on the optical axis, TP5 is a central thickness of the fifth lens 150 on the optical axis, and IN45 is a distance on the optical axis between the fourth lens and the fifth lens. It may control the sensitivity of manufacture of the system and improve the performance.
The optical image capturing system of the first preferred embodiment further satisfies TP3=0.3083 mm and (TP2+TP3+TP4)/ΣTP=0.5517, where TP2, TP3, and TP4 are thicknesses on the optical axis of the second, the third, and the fourth lenses, and ETP is a sum of the central thicknesses of all the lenses with refractive power on the optical axis. It may finely correct the aberration of the incident rays and reduce the height of the system.
The optical image capturing system of the first preferred embodiment further satisfies |InRS11|=0.307838 mm; |InRS12|=0.0527214 mm; TP1=0.587988 mm; and (|InRS11|+TP1+|InRS12|)/TP1=1.613208773, where InRS11 is a displacement from a point on the object-side surface 112 of the first lens passed through by the optical axis, to a point on the optical axis where a projection of the maximum effective semi diameter of the object-side surface 112 of the first lens ends; InRS12 is a displacement from a point on the image-side surface 114 of the first lens passed through by the optical axis, to a point on the optical axis where a projection of the maximum effective semi diameter of the image-side surface 114 of the first lens ends; and TP1 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 110 and the effective semi diameter thickness (thickness ratio) to increase the yield rate of manufacture.
The optical image capturing system of the first preferred embodiment further satisfies |InRS21|=0.165699 mm; |InRS22|=0.0788662 mm; TP2=0.306624 mm; (|InRS21|+TP2+|InRS22|)/TP2=1.797606189, where InRS21 is a displacement from a point on the object-side surface 122 of the second lens passed through by the optical axis, to a point on the optical axis where a projection of the maximum effective semi diameter of the object-side surface 122 of the second lens ends; InRS22 is a displacement from a point on the image-side surface 124 of the second lens passed through by the optical axis, to a point on the optical axis where a projection of the maximum effective semi diameter of the image-side surface 124 of the second lens ends; and TP2 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 120 and the effective semi diameter thickness (thickness ratio) to increase the yield rate of manufacture.
The optical image capturing system of the first preferred embodiment further satisfies |InRS31|=0.383103 mm; |InRS3|=−0.411894 mm; TP3=0.308255 mm; and (|InRS31|+TP3+|InRS32|)/TP3=3.57902386, where InRS31 is a displacement from a point on the object-side surface 132 of the third lens passed through by the optical axis, to a point on the optical axis where a projection of the maximum effective semi diameter of the object-side surface 132 of the third lens ends; InRS32 is a displacement from a point on the image-side surface 134 of the third lens passed through by the optical axis, to a point on the optical axis where a projection of the maximum effective semi diameter of the image-side surface 134 of the third lens ends; and TP3 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 130 and the effective semi diameter thickness (thickness ratio) to increase the yield rate of manufacture.
The optical image capturing system of the first preferred embodiment further satisfies |InRS41|=0.0384 mm; |InRS42|=0.263634 mm; TP4=0.512923 mm; and (|InRS41|+TP4+|InRS42|)/TP4=1.588848619, where InRS41 is a displacement in parallel with the optical axis from a point on the object-side surface 142 of the fourth lens passed through by the optical axis, to a point on the optical axis where a projection of the maximum effective semi diameter of the object-side surface 142 of the fourth lens ends; InRS42 is a displacement from a point on the image-side surface 144 of the fourth lens passed through by the optical axis, to a point on the optical axis where a projection of the maximum effective semi diameter of the image-side surface 144 of the fourth lens ends; and TP4 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 140 and the effective semi diameter thickness (thickness ratio) to increase the yield rate of manufacture.
The optical image capturing system of the first preferred embodiment further satisfies |InRS51|=0.576871 mm; |InRS52|=0.555284 mm; TP5=0.328302 mm; and (|InRS51|+TP5+|InRS52|)/TP5=4.448516914, where InRS51 is a displacement from a point on the object-side surface 152 of the fifth lens passed through by the optical axis, to a point on the optical axis where a projection of the maximum effective semi diameter of the object-side surface 152 of the fifth lens ends; InRS52 is a displacement from a point on the image-side surface 154 of the fifth lens passed through by the optical axis, to a point on the optical axis where a projection of the maximum effective semi diameter of the image-side surface 154 of the fifth lens ends; and TP5 is a central thickness of the fifth lens 150 on the optical axis. It may control a ratio of the central thickness of the fifth lens 150 and the effective semi diameter thickness (thickness ratio) to increase the yield rate of manufacture.
The optical image capturing system of the first preferred embodiment further satisfies InRSO=1.471911 mm; InRSI=1.3623996 mm; and Σ|InRS|=2.8343106 mm, where InRSO is a sum of absolute values of the displacements for each lens with refractive power from the central point on the object-side surface passed through by the optical axis to the point on the optical axis where the projection of the maximum effective semi diameter of the object-side surface ends, i.e. InRSO=|InRS11|+|InRS21|+|InRS31|+|InRS41|+|InRS51|; InRSI is a sum of absolute values of the displacements for each lens with refractive power from the central point on the image-side surface passed through by the optical axis to the point on the optical axis where the projection of the maximum effective semi diameter of the image-side surface ends, i.e. InRSI=|InRS12|+|InRS22|+|InRS32|+|InRS42|+|InRS52|; and Σ|InRS| is an sum of absolute values of a displacement for each lens with refractive power from a central point passed through by the optical axis to a point on the optical axis where a projection of the maximum effective semi diameter ends, i.e. Σ|InRS|=InRSO+InRSI. It may efficiently increase the capability of modifying the off-axis view field aberration of the system.
The optical image capturing system of the first preferred embodiment further satisfies Σ|InRS|/InTL=0.856804897 and Σ|InRS|/HOS=0.632658616. It may reduce the total height of the system, and efficiently increase the capability of modifying the off-axis view field aberration of the system.
The optical image capturing system of the first preferred embodiment further satisfies |InRS41|+|InRS42|+|InRS51|+|InRS52|=1.434189 mm; |InRS41|+|InRS42|+|InRS51|+|InRS52|)/InTL=0.433551693; and (|InRS41|+|InRS42|+|InRS51|+|InRS52|)/HOS=0.320131473. It may increase yield rate of manufacture of two of the lenses which are the first and the second closest to the image plane and modify the off-axis view field aberration.
The optical image capturing system of the first preferred embodiment satisfies HVT41=1.28509 mm and HVT42=0 mm, where HVT41 a distance perpendicular to the optical axis between the inflection point C41 on the object-side surface 142 of the fourth lens and the optical axis; and HVT32 a distance perpendicular to the optical axis between the inflection point C42 on the image-side surface 144 of the fourth lens and the optical axis. It is helpful to modify the off-axis view field aberration.
The optical image capturing system of the first preferred embodiment satisfies HVT51=0 mm; HVT52=1.06804 mm; and HVT51/HVT52=0, where HVT51 a distance perpendicular to the optical axis between the inflection point C51 on the object-side surface 152 of the fifth lens and the optical axis; and HVT52 a distance perpendicular to the optical axis between the inflection point C52 on the image-side surface 154 of the fifth lens and the optical axis. It is helpful to modify the off-axis view field aberration.
The optical image capturing system of the first preferred embodiment satisfies HVT52/HOI=0.364083859. It is helpful to correction of the aberration of the peripheral view field of the optical image capturing system.
The optical image capturing system of the first preferred embodiment satisfies HVT52/HOS=0.237342222. It is helpful to correction of the aberration of the peripheral view field of the optical image capturing system.
The second lens 120 and the fifth lens 150 of the optical image capturing system of the first preferred embodiment have negative refractive power, and the optical image capturing system further satisfies NA5/NA2=2.5441, where NA2 is an Abbe number of the second lens 120, and NA5 is an Abbe number of the fifth lens 150. It may correct the aberration of the system.
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.
The parameters of the lenses of the first embodiment are listed in Table 1 and Table 2.







TABLE 1







f = 3.73172 mm; f/HEP = 2.05; HAF = 37.5 deg; tan(HAF) = 0.7673














Radius of curvature
Thickness

Refractive
Abbe
Focal length


Surface
(mm)
(mm)
Material
index
number
(mm)

















0
Object
plane
infinity






1
Aperture
plane
−0.30784


2
1st lens
1.48285
0.587988
plastic
1.5441
56.1
3.77514


3

4.54742
0.511659


4
2nd lens
−9.33807
0.306624
plastic
1.6425
22.465
−55.2008


5

−12.8028
0.366935


6
3rd lens
−1.02094
0.308255
plastic
1.6425
22.465
−18.3893


7

−1.2492
0.05


8
4th lens
2.18916
0.512923
plastic
1.5441
56.1
3.7693


9

−31.3936
0.44596


10
5th 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













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









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
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, an aperture 200, a first lens 210, 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.
The first lens 210 has positive refractive power, and is made of plastic. An object-side surface 212 thereof, which faces the object side, is a convex aspheric surface, and an image-side surface 214 thereof, which faces the image side, is a convex aspheric surface. The object-side surface 212 has an inflection point.
The second lens 220 has negative refractive power, and is made of plastic. An object-side surface 222 thereof, which faces the object side, is a concave aspheric surface, and an image-side surface 224 thereof, which faces the image side, is a convex aspheric surface. The object-side surface 222 and the image-side surface 224 each has an inflection point thereon.
The third lens 230 has positive refractive power, and is made of plastic. An object-side surface 232, which faces the object side, is a convex aspheric surface, and an image-side surface 234, which faces the image side, is a concave aspheric surface. The object-side surface 232 and the image-side surface 234 each has an inflection point thereon.
The fourth lens 240 has positive refractive power, and is made of plastic. An object-side surface 242 thereof, which faces the object side, is a convex aspheric surface, and an image-side surface 244 thereof, which faces the image side, is a convex aspheric surface. The image-side surface 244 and the image-side surface 244 each has an inflection point thereon.
The fifth lens 250 has negative refractive power, and is made of plastic. An object-side surface 252 thereof, which faces the object side, is a concave aspheric surface, and an image-side surface 254 thereof, which faces the image side, is a concave aspheric surface. The object-side surface 252 and the image-side surface 254 each has an inflection point.
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.
The optical image capturing system of the second preferred embodiment has the following parameters, which are |f2|+|f3|+|f4|=28.9898 mm; |f1|+|f5|=6.8007 mm; and |f2|+|f3|+|f4|>|f1|+|f5|, where f1 is a focal length of the first lens 210; f2 is a focal length of the second lens 220; f3 is a focal length of the third lens 230; f4 is a focal length of the fourth lens 240; and f5 is a focal length of the fifth lens 250.
The optical image capturing system of the second preferred embodiment further satisfies TP4=0.69879 mm and TP5=0.35970 mm, where TP4 is a thickness of the fourth lens on the optical axis, and TP5 is a thickness of the fifth lens on the optical axis.
In the second embodiment, the first, the third, and the fourth lenses 210, 230, and 240 are positive lenses, and their focal lengths are f1, f3, and f4 respectively. 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 lens to avoid the significant aberration caused by the incident rays.
In the second embodiment, the second and the fifth lenses 220 and 250 are negative lenses, and their focal lengths are f2 and f5 respectively. 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 other negative lenses to avoid the significant aberration caused by the incident rays.
The parameters of the lenses of the second embodiment are listed in Table 3 and Table 4.







TABLE 3







f = 2.99656 mm; f/HEP = 1.6; HAF = 50.0003 deg; tan(HAF) = 1.1918














Radius of curvature
Thickness

Refractive
Abbe
Focal length


Surface
(mm)
(mm)
Material
index
number
(mm)

















0
Object
plane
infinity






1
Aperture
infinity
0.239832


2
1st lens
4.0807
0.54072
plastic
1.565
58
4.63141


3

−7.00574
0.44729


4
2nd lens
−0.99772
0.2
plastic
1.65
21.4
−9.08921


5

−1.29354
0.05


6
3rd lens
2.77286
0.651265
plastic
1.565
58
17.6562


7

3.50979
0.416724


8
4th lens
3.25585
0.698793
plastic
1.583
30.2
2.24442


9

−2.03435
0.590613


10
5th lens
−2.19642
0.3597
plastic
1.65
21.4
−2.16926


11

4.2931
0.3


12
Filter
infinity
0.2

1.517
64.2


13

infinity
0.320407


14
Image
infinity



plane





Reference wavelength: 555 nm. The clear aperture of the fifth surface is 1.13 mm













TABLE 4





Coefficients of the aspheric surfaces

















Surface














2
3
4
5
6
7





k =
1.60169
36.119209
−0.462114
−1.392104
−50
−50


A4 =
−4.92958E−02
−8.22685E−02
1.94900E−01
4.28634E−02
−1.85597E−03
−8.64569E−02


A6 =
−4.62363E−02
−5.19156E−02
−8.05077E−02
8.36033E−02
−5.65603E−05
1.70451E−02


A8 =
1.24574E−03
−1.85760E−02
1.28731E−01
7.55753E−05
−8.31287E−04
−1.64278E−03


A10 =
−3.99288E−02
3.98964E−02
−4.04139E−02
−4.34808E−02
−3.22851E−04
−1.15578E−03


A12 =
−5.26062E−05
−1.56286E−02
6.41432E−05
1.49185E−02
−3.68823E−04
−4.61362E−04


A14 =
−5.16635E−05
−2.46829E−05
1.04031E−08
−4.52858E−04
1.52685E−04
1.37890E−04













Surface















8
9
10
11







k =
−50
−1.289001
0.00512
0.204757



A4 =
7.66485E−03
−1.34686E−03
−1.14946E−02
−3.33747E−02



A6 =
−5.23458E−02
−3.43184E−03
5.48789E−03
1.72055E−03



A8 =
1.56179E−02
−1.37098E−03
−5.32031E−04
−3.52751E−05



A10 =
−7.07868E−04
−2.42349E−04
−9.87933E−05
−1.36129E−06



A12 =
−1.04634E−03
5.95649E−05
9.64876E−06
2.16685E−07



A14 =
8.73464E−05
7.06469E−05
1.42972E−05
−3.62325E−08










An equation of the aspheric surfaces of the second embodiment is the same as that of the first embodiment, and the definitions are the same as well.
The exact parameters of the second embodiment (with 555 nm as the main reference wavelength) based on Table 3 and Table 4 are listed in the following table:

















InRS11
InRS12
InRS21
InRS22
InRS31
InRS32


0.02231
−0.20235  
−0.39889  
−0.30261  
0.11325
−0.31952 


InRS41
InRS42
InRS51
InRS52
HVT51
HVT52


−0.32141  
−0.78583  
−1.07876  
−0.35930  
0.00000
1.50249


|ODT| %
|TDT| %
InRSO
InRSI
Σ|InRS|



2.04054
1.37353
1.93461
1.96961
3.90421











Σ|InRS|/InTL
Σ|InRS|/HOS
(|InRS32| + |InRS41|)/IN34
(|InRS42| + |InRS51|)/IN45


0.98713
0.81755
1.5380
3.1570 








(|InRS41| + |InRS42| + |InRS51| + |InRS52|)/InTL
(|InRS41| + |InRS42| + |InRS51| + |InRS52|)/HOS


0.64355
0.53299












|f/f1|
|f/f2|
|f/f3|
|f/f4|
|f/f5|
|f1/f2|


0.64701
0.32968
0.16972
1.33512
1.38137
0.50955


Σ PPR
Σ NPR
Σ PPR/| Σ NPR|
Σ PP
Σ NP
f1/Σ PP


2.15184
1.71106
1.25761
24.53203 
−11.25847 
0.18879


f5/Σ NP
IN12/f
HVT52/HOI
HVT52/HOS
|InRS51|/TP5
|InRS52|/TP5


0.19268
0.14927
0.41736
0.31462
2.9991 
0.9989 


HOS
InTL
HOS/HOI
InS/HOS
InTL/HOS
Σ TP/InTL


4.77551
3.95510
1.32653
1.05022
0.82820
0.61957


HVT41
HVT42






0.93039
0    









The exact parameters related to inflection points of the second embodiment (with main reference wavelength as 555 nm) based on Table 3 and Table 4 are listed in the following table:



















HIF111
0.50861
HIF111/
0.14128
SGI111
0.02788
|SGI111|/(|SGI111| +
0.04904




HOI



TP1)


HIF211
0.83349
HIF211/
0.23153
SGI211
−0.29840
|SGI211|/(|SGI211| +
0.59872




HOI



TP2)


HIF221
0.68988
HIF221/
0.19163
SGI221
−0.16127
|SGI221|/(|SGI221| +
0.44639




HOI



TP2)


HIF311
0.78743
HIF311/
0.21873
SGI311
0.06844
|SGI311|/(|SGI311| +
0.09509




HOI



TP3)


HIF321
0.38430
HIF321/
0.10675
SGI321
0.01679
|SGI321|/(|SGI321| +
0.02513




HOI



TP3)


HIF411
0.53962
HIF411/
0.14989
SGI411
0.03479
|SGI411|/(|SGI411| +
0.04743




HOI



TP4)


HIF421
1.52690
HIF421/
0.42414
SGI421
−0.62341
|SGI421|/(|SGI421| +
0.47149




HOI



TP4)


HIF511
1.76604
HIF511/
0.49057
SGI511
−0.86697
|SGI511|/(|SGI511| +
0.70677




HOI



TP5)


HIF521
0.82512
HIF521/
0.22920
SGI521
0.06526
|SGI521|/(|SGI521| +
0.15357




HOI



TP5)









Third Embodiment
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, an aperture 300, a first lens 310, 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.
The first lens 310 has positive refractive power, and is made of plastic. An object-side surface 312 thereof, which faces the object side, is a convex aspheric surface, and an image-side surface 314 thereof, which faces the image side, is a concave aspheric surface.
The second lens 320 has negative refractive power, and is made of plastic. An object-side surface 322 thereof, which faces the object side, is a concave aspheric surface; while an image-side surface 324 thereof, which faces the image side, is a convex aspheric surface.
The third lens 330 has positive 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, which faces the image side, is a convex aspheric surface. The object-side surface 332 and the image-side surface 334 both have an inflection point.
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. The image-side surface 344 and the image-side surface 344 each has an inflection point thereon.
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 surfaces. The object-side surface 352 and the image-side surface 354 both have an inflection point.
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.
The parameters of the lenses of the third preferred embodiment are |f2|+|f3|+|f4|=109.0254 mm; |f1|+|f5|=7.2643 mm; and |f2|+|f3|+|f4|>|f1|+|f5|, where f1 is a focal length of the first lens 310; f2 is a focal length of the second lens 320; f3 is a focal length of the third lens 330; and f4 is a focal length of the fourth lens 340; and f5 is a focal length of the fifth lens 350.
The optical image capturing system of the third preferred embodiment further satisfies TP4=1.41345 mm and TP5=0.66125 mm, where TP4 is a thickness of the fourth lens 340 on the optical axis, and TP5 is a thickness of the fifth lens 350 on the optical axis.
In the third embodiment, the first, the third, and the fourth are positive lenses 310, 330, and 340, and their focal lengths are f1, f3, and f4. 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 lens to avoid the significant aberration caused by the incident rays.
In the third embodiment, the second and the fifth are negative lenses 320 and 350, and their focal lengths are f2 and f5. 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 other lenses with negative refractive power.
The parameters of the lenses of the third embodiment are listed in Table 5 and Table 6.







TABLE 5







f = 2.95522 mm; f/HEP = 1.8; HAF = 50.0004 deg; tan(HAF) = 1.1918














Radius of curvature
Thickness

Refractive
Abbe
Focal length


Surface
(mm)
(mm)
Material
index
number
(mm)

















0
Object
plane
infinity






1
Aperture
infinity
−0.203935


2
1st lens
1.91018
0.30986
plastic
1.565
54.5
5.72759


3

4.36749
0.297787


4
2nd lens
−9.7561
0.426002
plastic
1.565
58
−100


5

−11.9708
0.051096


6
3rd lens
5.88369
0.432453
plastic
1.65
21.4
7.50343


7

−29.0947
0.197573


8
4th lens
−2.13348
1.413447
plastic
1.565
58
1.52196


9

−0.76147
0.05


10
5th lens
6.74245
0.661254
plastic
1.65
21.4
−1.53667


11

0.84227
0.7


12
Filter
infinity
0.2

1.517
64.2


13

infinity
0.280045


14
Image
infinity



plane





Reference wavelength: 555 nm













TABLE 6





Coefficients of the aspheric surfaces

















Surface














2
3
4
5
6
7





k =
0.195575
−11.082252
−48.127628
50
−50
50


A4 =
2.10980E−02
3.84959E−02
−6.48227E−02
−4.28616E−01
−3.64092E−01
−1.88080E−03


A6 =
1.87134E−02
−1.25369E−02
−4.71971E−02
2.91525E−01
1.18029E−01
−5.46341E−02


A8 =
1.22986E−05
2.65725E−02
3.47244E−02
−2.09946E−01
−1.41892E−01
3.48135E−02


A10 =
6.62226E−03
−4.53835E−02
−1.14042E−01
9.03901E−02
−7.43997E−03
−3.17837E−02


A12 =
3.50952E−03
2.97780E−02
−8.28942E−03
−6.60030E−02
1.32816E−01
1.18334E−02


A14 =
2.93906E−08
−2.11407E−08
5.82026E−09
1.80770E−03
−1.22710E−01
−3.72313E−04













Surface















8
9
10
11







k
0.538566
−3.220211
10.666839
−5.52109



A4
2.76340E−02
−9.65255E−02
−9.31223E−03
−2.26589E−02



A6
1.28731E−01
2.53395E−02
−6.58766E−02
9.41866E−04



A8
−9.60141E−02
−3.80742E−03
4.60940E−02
1.38497E−04



A10
−1.72140E−02
−1.87618E−03
−2.08689E−02
−3.22210E−05



A12
3.53436E−02
3.11461E−04
5.08219E−03
−1.88603E−07



A14
−8.16590E−03
1.16729E−04
−5.26831E−04
1.52246E−07










An equation of the aspheric surfaces of the third embodiment is the same as that of the first embodiment, and the definitions are the same as well.
The exact parameters of the third embodiment (with 555 nm as the main reference wavelength) based on Table 5 and Table 6 are listed in the following table:

















InRS11
InRS12
InRS21
InRS22
InRS31
InRS32


0.20394
0.09408
−0.12167  
−0.34767  
−0.31304 
−0.21030  


InRS41
InRS42
InRS51
InRS52
HVT51
HVT52


−0.32493  
−1.26723  
−0.60845  
−0.08980  
0.90540
1.87038


|ODT| %
|TDT| %
InRSO
InRSI
Σ|InRS|



2.01465
1.17824
1.57202
2.00907
3.58109











Σ|InRS|/InTL
Σ|InRS|/HOS
(|InRS32| + |InRS41|)/IN34
(|InRS42| + |InRS51|)/IN45


0.93271
0.71343
2.7090
37.5135 








(|InRS41| + |InRS42| + |InRS51| + |InRS52|)/InTL
(|InRS41| + |InRS42| + |InRS51| + |InRS52|)/HOS


0.59654
0.45630












|f/f1|
|f/f2|
|f/f3|
|f/f4|
|f/f5|
|f1/f2|


0.51596
0.02955
0.39385
1.94172
1.92313
0.05728


Σ PPR
Σ NPR
Σ PPR/| Σ NPR|
Σ PP
Σ NP
f1/Σ PP


2.85153
1.95268
1.46031
14.75298 
−101.53667   
0.38823


f5/Σ NP
IN12/f
HVT52/HOI
HVT52/HOS
|InRS51|/TP5
|InRS52|/TP5


0.01513
0.10077
0.51955
0.37262
0.9201 
0.1358 


HOS
InTL
HOS/HOI
InS/HOS
InTL/HOS
Σ TP/InTL


5.01952
3.83947
1.39431
0.95937
0.76491
0.84465


HVT41
HVT42






0    
0    









The exact parameters related to inflection points of the third embodiment (with main reference wavelength as 555 nm) based on Table 5 and Table 6 are listed in the following table:



















HIF311
0.19250
HIF311/
0.05347
SGI311
0.00261
|SGI311|/(|SGI311| +
0.00601




HOI



TP3)


HIF321
1.25603
HIF321/
0.34890
SGI321
−0.16856
|SGI321|/(|SGI321| +
0.28046




HOI



TP3)


HIF411
1.18282
HIF411/
0.32856
SGI411
−0.25407
|SGI411|/(|SGI411| +
0.15236




HOI



TP4)


HIF421
1.53049
HIF421/
0.42514
SGI421
−1.09419
|SGI421|/(|SGI421| +
0.43634




HOI



TP4)


HIF511
0.56276
HIF511/
0.15632
SGI511
0.02136
|SGI511|/(|SGI511| +
0.03129




HOI



TP5)


HIF521
0.72071
HIF521/
0.20020
SGI521
0.19451
|SGI521|/(|SGI521| +
0.22729




HOI



TP5)









Fourth Embodiment
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, an aperture 400, a first lens 410, 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.
The first lens 410 has positive refractive power, and is made of plastic. An object-side surface 412 thereof, which faces the object side, is a convex aspheric surface, and an image-side surface 414 thereof, which faces the image side, is a concave aspheric surface. The image-side surface 414 has an inflection point thereon.
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.
The third lens 430 has positive refractive power, and is made of plastic. An object-side surface 432, which faces the object side, is a convex aspheric surface, and an image-side surface 434, which faces the image side, is a concave aspheric surface. The object-side surface 432 and the image-side surface 434 each has two inflection points.
The fourth lens 440 has positive refractive power, and is made of plastic. An object-side surface 442, which faces the object side, is a concave aspheric surface, and an image-side surface 444, which faces the image side, is a convex aspheric surface. The object-side surface 442 and the image-side surface 444 each has an inflection point.
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. The object-side surface 452 and the image-side surface 454 each has an inflection point.
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.
The optical image capturing system of the fourth preferred embodiment has the following parameters, which are |f2|+|f3|+|f4|=111.4945 mm; |f1|+|f5|=7.4574 mm; and |f2|+|f3|+|f4|>|f1|+|f5|, where f1 is a focal length of the first lens 410; f2 is a focal length of the second lens 420; f3 is a focal length of the third lens 430; f4 is a focal length of the fourth lens 440; and f5 is a focal length of the fifth lens 450.
The optical image capturing system of the fourth preferred embodiment further satisfies TP4=1.28571 mm and TP5=0.58729 mm, where TP4 is a thickness of the fourth lens on the optical axis, and TP5 is a thickness of the fifth lens on the optical axis.
In the fourth embodiment, the first, the third, and the fourth lenses 410, 430, and 440 are positive lenses, and their focal lengths are f1, f3, and f4 respectively. 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 lens to avoid the significant aberration caused by the incident rays.
In the fourth embodiment, the second and the fifth lenses 420 and 450 are negative lenses, and their focal lengths are f2 and f5 respectively. 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 other negative lenses to avoid the significant aberration caused by the incident rays.
The parameters of the lenses of the fourth embodiment are listed in Table 7 and Table 8.







TABLE 7







f = 2.94852 mm; f/HEP = 2.0; HAF = 50.0001 deg; tan(HAF) = 1.1918














Radius of curvature
Thickness

Refractive
Abbe
Focal length


Surface
(mm)
(mm)
Material
index
number
(mm)

















0
Object
plane
infinity






1
Aperture
infinity
−0.142381


2
1st lens
1.91908
0.302344
plastic
1.565
54.5
5.38335


3

4.87582
0.301678


4
2nd lens
−10.9479
0.463966
plastic
1.565
58
−100


5

−13.7769
0.0615


6
3rd lens
3.83783
0.2
plastic
1.65
21.4
9.64133


7

9.57163
0.370337


8
4th lens
−2.01627
1.285708
plastic
1.565
58
1.85321


9

−0.8499
0.05


10
5th lens
2.59911
0.587286
plastic
1.632
23.4
−2.07403


11

0.79879
0.7


12
Filter
infinity
0.2

1.517
64.2


13

infinity
0.338295


14
Image
infinity



plane





Reference wavelength: 555 nm













TABLE 8





Coefficients of the aspheric surfaces

















Surface














2
3
4
5
6
7





k =
−14.211949
9.176666
−50
50
−48.10239
−50


A4 =
2.42647E−01
−2.05817E−02
−5.24405E−02
−4.45665E−01
−3.87259E−01
−1.59142E−01


A6 =
−3.22098E−01
−9.42406E−02
−1.33408E−01
4.95409E−01
1.31949E−01
4.36712E−02


A8 =
3.34837E−01
1.78477E−01
1.81674E−01
−9.23166E−01
−3.95842E−02
3.39187E−02


A10 =
−2.31586E−01
−4.22825E−01
−2.69281E−01
8.52543E−01
−6.13889E−01
−1.06632E−01


A12 =
6.02349E−10
2.57483E−01
−3.08930E−09
−3.60627E−01
5.24478E−01
4.17725E−02


A14 =
1.92128E−08
−2.25653E−08
1.48799E−08
−6.82102E−10
−1.61505E−02
1.22911E−02













Surface















8
9
10
11







k
1.452197
−2.35283
−50
−5.052214



A4
−7.42195E−02
−8.83530E−02
−2.65408E−02
−2.53007E−02



A6
4.20570E−02
1.20653E−02
6.71431E−03
3.76908E−03



A8
2.13734E−02
−4.02883E−03
−6.17951E−03
−5.44226E−04



A10
1.84734E−01
1.28522E−03
2.07124E−03
1.60264E−05



A12
−2.64744E−01
−2.70673E−05
−2.83773E−04
3.90835E−06



A14
9.65401E−02
3.21213E−05
1.16294E−05
−3.23128E−07










An equation of the aspheric surfaces of the fourth embodiment is the same as that of the first embodiment, and the definitions are the same as well.
The exact parameters of the fourth embodiment (with 555 nm as the main reference wavelength) based on Table 7 and Table 8 are listed in the following table:

















InRS11
InRS12
InRS21
InRS22
InRS31
InRS32


0.14238
0.04004
−0.12361  
−0.38757  
−0.31511  
−0.13310  


InRS41
InRS42
InRS51
InRS52
HVT51
HVT52


−0.45344  
−1.28815  
−0.39251  
−0.06682  
1.10589
1.97806


|ODT| %
|TDT| %
InRSO
InRSI
Σ|InRS|



2.05250
0.84099
1.42704
1.91569
3.34273











Σ|InRS|/InTL
Σ|InRS|/HOS
(|InRS32| + |InRS41|)/IN34
(|InRS42| + |InRS51|)/IN45


0.92269
0.68765
1.5838
33.6132








(|InRS41| + |InRS42| + |InRS51| + |InRS52|)/InTL
(|InRS41| + |InRS42| + |InRS51| + |InRS52|)/HOS


0.60752
0.45276












|f/f1|
|f/f2|
|f/f3|
|f/f4|
|f/f5|
|f1/f2|


0.54771
0.02949
0.30582
1.59103
1.42164
0.05383


Σ PPR
Σ NPR
Σ PPR/| Σ NPR|
Σ PP
Σ NP
f1/Σ PP


2.44457
1.45112
1.68460
16.87789 
−102.07403   
0.31896


f5/Σ NP
IN12/f
HVT52/HOI
HVT52/HOS
|InRS51|/TP5
|InRS52|/TP5


0.02032
0.10232
0.54946
0.40692
0.6683 
0.1138 


HOS
InTL
HOS/HOI
InS/HOS
InTL/HOS
Σ TP/InTL


4.86111
3.62282
1.35031
0.97071
0.74527
0.78373


HVT41
HVT42






0    
0    









The exact parameters related to inflection points of the fourth embodiment (with main reference wavelength as 555 nm) based on Table 7 and Table 8 are listed in the following table:



















HIF121
0.53010
HIF121/
0.14725
SGI121
0.02652
|SGI121|/(|SGI121| +
0.08064




HOI



TP1)


HIF211
0.80340
HIF211/
0.22317
SGI211
−0.18168
|SGI211|/(|SGI211| +
0.28139




HOI



TP2)


HIF311
0.21726
HIF311/
0.06035
SGI311
0.00508
|SGI311|/(|SGI311| +
0.02479




HOI



TP3)


HIF312
0.94332
HIF312/
0.26203
SGI312
−0.24944
|SGI312|/(|SGI312| +
0.55500




HOI



TP3)


HIF321
0.23356
HIF321/
0.06488
SGI321
0.00236
|SGI321|/(|SGI321| +
0.01168




HOI



TP3)


HIF322
1.02235
HIF322/
0.28399
SGI322
−0.09674
|SGI322|/(|SGI322| +
0.32602




HOI



TP3)


HIF411
1.11545
HIF411/
0.30985
SGI411
−0.37993
|SGI411|/(|SGI411| +
0.22810




HOI



TP4)


HIF421
1.47327
HIF421/
0.40924
SGI421
−1.10157
|SGI421|/(|SGI421| +
0.46143




HOI



TP4)


HIF511
0.51685
HIF511/
0.14357
SGI511
0.03608
|SGI511|/(|SGI511| +
0.05787




HOI



TP5)


HIF521
0.73297
HIF521/
0.20360
SGI521
0.21017
|SGI521|/(|SGI521| +
0.26355




HOI



TP5)









Fifth Embodiment
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, an aperture 500, a first lens 510, 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.
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. The image-side surface 514 and the image-side surface 514 each has an inflection point thereon.
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. The object-side surface 522 and the image-side surface 524 each has an inflection point thereon.
The third lens 530 has positive refractive power, and is made of plastic. An object-side surface 532, which faces the object side, is a convex aspheric surface, and an image-side surface 534, which faces the image side, is a concave aspheric surface. The object-side surface 532 has two inflection points, and the image-side surface 534 has an inflection point thereon.
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. The object-side surface 542 and the image-side surface 544 each has an inflection point thereon.
The fifth lens 550 has negative refractive power, and is made of plastic. An object-side surface 552, which faces the object side, is a concave aspheric surface, and an image-side surface 554, which faces the image side, thereof is a concave aspheric surface. The image-side surface 554 has an inflection point thereon.
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.
The parameters of the lenses of the fifth preferred embodiment are |f2|+|f3|+|f4|=55.0682 mm; |f1|+|f5|=6.5595 mm; and |f2|+|f3|+|f4|>|f1|+|f5|, where f1 is a focal length of the first lens 510; f2 is a focal length of the second lens 520; f3 is a focal length of the third lens 530; and f4 is a focal length of the fourth lens 540; and f5 is a focal length of the fifth lens 550.
The optical image capturing system of the fifth preferred embodiment further satisfies TP4=1.43412 mm and TP5=0.39036 mm, where TP4 is a thickness of the fourth lens 540 on the optical axis, and TP5 is a thickness of the fifth lens 550 on the optical axis.
In the fifth embodiment, the first, the third, and the fourth lenses 510, 530, and 540 are positive lenses, and their focal lengths are f1, f3, and f4. 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 lens to avoid the significant aberration caused by the incident rays.
In the fifth embodiment, the second and the fifth lenses 520 and 550 are negative lenses, and their focal lengths are f2 and f5. 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 550 to other negative lenses.
The parameters of the lenses of the fifth embodiment are listed in Table 9 and Table 10.







TABLE 9







f = 3.65623 mm; f/HEP = 2.0; HAF = 43.9999 deg; tan(HAF) = 0.9657














Radius of curvature
Thickness

Refractive
Abbe
Focal length


Surface
(mm)
(mm)
Material
index
number
(mm)

















0
Object
plane
infinity






1
Aperture
infinity
−0.052122


2
1st lens
2.39061
0.492271
plastic
1.565
58
4.86914


3

16.54195
0.536884


4
2nd lens
−1.23181
0.2
plastic
1.65
21.4
−26.611


5

−1.41062
0.05


6
3rd lens
2.79647
0.37882
plastic
1.565
58
26.4721


7

3.26865
0.460508


8
4th lens
−13.2436
1.434117
plastic
1.565
58
1.98507


9

−1.07762
0.305261


10
5th lens
−8.49993
0.390362
plastic
1.607
26.6
−1.69039


11

1.19641
0.5


12
Filter
infinity
0.2

1.517
64.2


13

infinity
0.351778


14
Image
infinity



plane





Reference wavelength: 555 nm













TABLE 10





Coefficients of the aspheric surfaces

















Surface














2
3
4
5
6
7





k =
−0.583201
−26.173912
−4.811302
−4.647588
−28.439305
−29.502437


A4 =
−1.39801E−02
−5.06812E−02
−3.54808E−02
1.70111E−02
−2.16770E−02
−4.65193E−02


A6 =
−1.14615E−02
−1.96663E−02
7.99036E−02
7.80843E−02
−4.72731E−03
1.39892E−02


A8 =
−3.38760E−02
−5.21056E−02
1.10669E−02
3.06095E−02
9.38473E−03
−8.27555E−03


A10 =
2.23099E−02
3.61440E−02
−1.31313E−02
−3.45576E−02
−1.83976E−02
−2.74299E−03


A12 =
−1.97662E−02
5.18266E−04
1.32373E−03
7.40105E−03
1.13057E−02
2.70788E−03


A14 =
9.94471E−08
−8.78468E−03
−2.68848E−04
−6.71696E−04
−3.03176E−03
−7.12757E−04













Surface















8
9
10
11







k
39.915628
−3.851992
3.562181
−6.830542



A4
5.06752E−03
−2.36191E−02
−8.21991E−03
−2.57611E−02



A6
−1.93075E−03
−7.13313E−04
−2.77996E−02
2.07410E−03



A8
−2.38368E−03
−4.65846E−05
5.88347E−03
−1.45727E−04



A10
6.23443E−04
6.54081E−05
2.70564E−04
−1.93065E−06



A12
2.56230E−04
4.05326E−05
−1.53684E−04
7.31541E−07



A14
−5.29139E−05
1.03003E−07
−1.60746E−06
−4.23013E−08










An equation of the aspheric surfaces of the fifth embodiment is the same as that of the first embodiment, and the definitions are the same as well.
The exact parameters of the fifth embodiment (with 555 nm as the main reference wavelength) based on Table 9 and Table 10 are listed in the following table:

















InRS11
InRS12
InRS21
InRS22
InRS31
InRS32


0.15641
−0.13567  
−0.21183  
−0.05424  
−0.00335  
−0.18216  


InRS41
InRS42
InRS51
InRS52
HVT51
HVT52


−0.10590  
−1.06195  
−1.12372  
−0.34299  
0.00000
1.73642


|ODT| %
|TDT| %
InRSO
InRSI
Σ|InRS|



2.00336
1.00162
1.60120
1.77700
3.37820











Σ|InRS|/InTL
Σ|InRS|/HOS
(|InRS32| + |InRS41|)/IN34
(|InRS42| + |InRS51|)/IN45


0.79520
0.63740
0.6255
7.1600








(|InRS41| + |InRS42| + |InRS51| + |InRS52|)/InTL
(|InRS41| + |InRS42| + |InRS51| + |InRS52|)/HOS


0.62015
0.49709












|f/f1|
|f/f2|
|f/f3|
|f/f4|
|f/f5|
|f1/f2|


0.75090
0.13740
0.13812
1.84186
2.16295
0.18297


Σ PPR
Σ NPR
Σ PPR/| Σ NPR|
Σ PP
Σ NP
f1/Σ PP


2.73088
2.30035
1.18716
33.32631 
−28.30139   
0.14610


f5/Σ NP
IN12/f
HVT52/HOI
HVT52/HOS
|InRS51|/TP5
|InRS52|/TP5


0.05973
0.14684
0.48234
0.32763
2.8787 
0.8786 


HOS
InTL
HOS/HOI
InS/HOS
InTL/HOS
Σ TP/InTL


5.30000
4.24822
1.47222
0.99017
0.80155
0.68160


HVT41
HVT42






1.7106 
0    









The exact parameters related to inflection points of the fifth embodiment (with main reference wavelength as 555 nm) based on Table 9 and Table 10 are listed in the following table:



















HIF111
0.73676
HIF111/
0.20466
SGI111
0.10633
|SGI111|/(|SGI111| +
0.17763




HOI



TP1)


HIF121
0.29631
HIF121/
0.08231
SGI121
0.00224
|SGI121|/(|SGI121| +
0.00453




HOI



TP1)


HIF211
0.65550
HIF211/
0.18208
SGI211
−0.14286
|SGI211|/(|SGI211| +
0.41667




HOI



TP2)


HIF221
0.57372
HIF221/
0.15937
SGI221
−0.09810
|SGI221|/(|SGI221| +
0.32908




HOI



TP2)


HIF311
0.59659
HIF311/
0.16572
SGI311
0.04803
|SGI311|/(|SGI311| +
0.11251




HOI



TP3)


HIF312
0.78447
HIF312/
0.21791
SGI312
−0.02298
|SGI312|/(|SGI312| +
0.05720




HOI



TP3)


HIF321
0.52660
HIF321/
0.14628
SGI321
0.03325
|SGI321|/(|SGI321| +
0.08070




HOI



TP3)


HIF411
1.41799
HIF411/
0.39389
SGI411
−0.09161
|SGI411|/(|SGI411| +
0.06004




HOI



TP4)


HIF421
1.62768
HIF421/
0.45213
SGI421
−0.81608
|SGI421|/(|SGI421| +
0.36267




HOI



TP4)


HIF521
0.72963
HIF521/
0.20268
SGI521
0.15306
|SGI521|/(|SGI521| +
0.28166




HOI



TP5)









Sixth Embodiment
As shown in FIG. 6A and FIG. 6B, an optical image capturing system of the sixth preferred embodiment of the present invention includes, along an optical axis from an object side to an image side, a first lens 610, an aperture 600, a second lens 620, a third lens 630, a fourth lens 640, a fifth lens 650, an infrared rays filter 670, an image plane 680, and an image sensor 690.
The first lens 610 has negative refractive power, and is made of plastic. An object-side surface 612 thereof, which faces the object side, is a convex aspheric surface, and an image-side surface 614 thereof, which faces the image side, is a concave aspheric surface. The object-side surface 612 has an inflection point.
The second lens 620 has positive refractive power, and is made of plastic. An object-side surface 622 thereof, which faces the object side, is a convex aspheric surface, and an image-side surface 624 thereof, which faces the image side, is a convex aspheric surface.
The third lens 630 has positive refractive power, and is made of plastic. An object-side surface 632 thereof, which faces the object side, is a concave aspheric surface, and an image-side surface 634 thereof, which faces the image side, is a convex aspheric surface. The image-side surface 634 has an inflection point.
The fourth lens 640 has a positive refractive power, and is made of plastic. An object-side surface 642, which faces the object side, is a concave aspheric surface, and an image-side surface 644, which faces the image side, is a convex aspheric surface.
The fifth lens 650 has negative refractive power, and is made of plastic. An object-side surface 652 thereof, which faces the object side, is a concave aspheric surface, and an image-side surface 654 thereof, which faces the image side, is a convex aspheric surface. The image-side surface 654 has an inflection point.
The infrared rays filter 670 is made of glass, and between the fifth lens 650 and the image plane 680. The infrared rays filter 670 gives no contribution to the focal length of the system.
The parameters of the lenses of the sixth preferred embodiment are |f2|+|f3|+|f4|=33.5491 mm; |f1|+|f5|=10.9113 mm; and |f2|+|f3|+|f4|>|f1|+|f5|, where f1 is a focal length of the first lens 610; f2 is a focal length of the second lens 620; f3 is a focal length of the third lens 630; and f4 is a focal length of the fourth lens 640; and f5 is a focal length of the fifth lens 650.
The optical image capturing system of the sixth preferred embodiment further satisfies TP4=1.1936 mm and TP5=0.4938 mm, where TP4 is a thickness of the fourth lens 640 on the optical axis, and TP5 is a thickness of the fifth lens 650 on the optical axis.
In the sixth preferred embodiment, the second, the third, and the fourth lenses 620, 630, and 640 are positive lenses, and their focal lengths are f2, f3, and f4. The optical image capturing system of the sixth preferred embodiment further satisfies ΣPP=f2+f3+f4=33.5491 mm and f2/(f2+f3+f4)=0.1012, where ΣPP is a sum of the focal lengths of each positive lens. It is helpful to share the positive refractive power of the second lens 620 to the other positive lenses to avoid the significant aberration caused by the incident rays.
In the sixth preferred embodiment, the first and the fifth lenses 610 and 650 are negative lenses, and their focal lengths are f2 and f4. The optical image capturing system of the sixth preferred embodiment further satisfies ΣNP=f1+f5=−10.9113 mm; and f5/(f1+f5)=0.3956, 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 650 to the other negative lenses to avoid the significant aberration caused by the incident rays.
The parameters of the lenses of the sixth embodiment are listed in Table 11 and Table 12.







TABLE 11







f = 3.06009 mm; f/HEP = 2.0; HAF = 50.0007 deg; tan(HAF) = 1.1918














Radius of curvature
Thickness

Refractive
Abbe
Focal length


Surface
(mm)
(mm)
Material
index
number
(mm)

















0
Object
plane
infinity






1
1st lens
3.50904
0.796742
plastic
1.514
56.8
−6.5946


2

1.59356
4.172675


3
Aperture
infinity
−0.36597


4
2nd lens
2.36495
0.703695
plastic
1.565
58
3.39442


5

−9.20538
0.766828


6
3rd lens
−3.96665
0.773956
plastic
1.565
58
26.056


7

−3.3475
0.128823


8
4th lens
−19.1128
1.193613
plastic
1.565
58
4.09863


9

−2.11807
0.384924


10
5th lens
−1.36773
0.49381
plastic
1.65
21.4
−4.31667


11

−3.02608
0.1


12
Filter
infinity
0.2

1.517
64.2


13

infinity
1.623541


14
Image
infinity
0.027363



plane





Reference wavelength: 555 nm













TABLE 12





Coefficients of the aspheric surfaces




















Surface
1
2
4
5
6





k
−0.364446
−0.797073
−0.976489
45.184506
−4.955335


A4
3.03151E−03
2.47474E−02
1.19749E−02
1.53107E−02
−3.15766E−02


A6
3.11535E−04
1.09227E−03
3.29173E−03
−8.86750E−03 
−7.36452E−03


A8
6.03641E−06
2.11777E−03
−1.41246E−03 
1.63700E−02
 9.93051E−03


A10
−1.90703E−05 
−1.38673E−04 
2.09487E−03
−9.72154E−03 
−1.85429E−02


A12
1.68207E−06
−2.43097E−05 
−1.07114E−03 
1.55553E−03
 8.34169E−03


A14
−4.42840E−08 
5.42793E−07
4.80842E−05
4.47459E−04
−9.07537E−04





Surface
7
8
9
10
11





k
−4.26661
−17.215386
0.01572
−0.56999
−1.957095


A4
−2.02516E−02
−2.81080E−02
 1.04073E−02
 2.87988E−02
 4.78950E−03


A6
−1.45844E−02
 1.26828E−02
 4.37395E−04
−1.68233E−04
−4.65598E−04


A8
 1.47638E−02
−2.57367E−02
−8.83115E−04
−1.52077E−04
 1.47492E−04


A10
−8.52821E−03
 1.81999E−02
−2.21655E−04
 2.58158E−05
−1.37919E−05


A12
−3.64995E−05
−8.19803E−03
−4.19162E−05
−6.96422E−06
 1.27305E−06


A14
 8.24445E−04
 1.22153E−03
 5.89942E−06
 1.05801E−05
−1.66946E−07









An equation of the aspheric surfaces of the sixth embodiment is the same as that of the first embodiment, and the definitions are the same as well.
The exact parameters of the sixth embodiment based on Table 11 and Table 12 are listed in the following table:

















InRS51
InRS52
HVT51
HVT52
|ODT| %
|TDT| %


−1.19340  
−0.63635  
0.00000
0.00000
1.99808
0.23490


|f/f1|
|f/f2|
|f/f3|
|f/f4|
|f/f5|
|f1/f2|


0.46403
0.90151
0.11744
0.74661
0.70890
1.94278


Σ PPR
Σ NPR
Σ PPR/| Σ NPR|
Σ PP
Σ NP
f2/Σ PP


1.76556
1.17293
1.50526
33.54905 
−10.91127   
0.10118


f5/Σ NP
IN12/f
|InRS51|/TP5
|InRS52|/TP5
HVT52/HOI
HVT52/HOS


0.39562
1.24399
0.99982
0.53313
0.00000
0.00000


HOS
InTL
HOS/HOI
InS/HOS
InTL/HOS
Σ TP/InTL


11.00000 
9.04910
2.94118
0.54823
0.82265
0.43781











(TP1 + IN12)/TP2
(TP5 + IN45)/TP4
(TP2 + TP3 + TP4)/Σ TP




6.54183
0.73620
0.67425









The exact parameters of the inflection points of the sixth embodiment based on Table 11 and Table 12 are listed in the following table:



















HIF111
2.68797
HIF111/
0.718709
SGI111
1.25958
|SGI111|/(|SGI111| +
0.61254




HOI



TP1)


HIF321
1.35714
HIF321/
0.362872
SGI321
−0.35849
|SGI321|/(|SGI321| +
0.316563




HOI



TP3)


HIF521
1.81195
HIF521/
0.484479
SGI521
−0.454608
|SGI521|/(|SGI521| +
0.479333




HOI



TP5)









Seventh Embodiment
As shown in FIG. 7A and FIG. 7B, an optical image capturing system of the seventh preferred embodiment of the present invention includes, along an optical axis from an object side to an image side, an aperture 700, a first lens 710, a second lens 720, a third lens 730, a fourth lens 740, a fifth lens 750, an infrared rays filter 770, an image plane 780, and an image sensor 790.
The first lens 710 has positive refractive power, and is made of plastic. An object-side surface 712 thereof, which faces the object side, is a convex aspheric surface, and an image-side surface 714 thereof, which faces the image side, is a convex aspheric surface, and the object-side surface 712 has an inflection point. The image-side surface 714 has two inflection points.
The second lens 720 has negative refractive power, and is made of plastic. An object-side surface 722 thereof, which faces the object side, is a concave aspheric surface, and an image-side surface 724 thereof, which faces the image side, is a concave aspheric surface. The object-side surface 722 has two inflection points, and the image-side surface 724 has an inflection point.
The third lens 730 has positive refractive power, and is made of plastic. An object-side surface 732 thereof, which faces the object side, is a convex aspheric surface, and an image-side surface 734 thereof, which faces the image side, is a concave aspheric surface. The object-side surface 732 has an inflection point.
The fourth lens 740 has a positive refractive power, and is made of plastic. An object-side surface 742, which faces the object side, is a concave aspheric surface, and an image-side surface 744, which faces the image side, is a convex aspheric surface. The image-side surface 744 has an inflection point.
The fifth lens 750 has negative refractive power, and is made of plastic. An object-side surface 752 thereof, which faces the object side, is a concave aspheric surface, and an image-side surface 754 thereof, which faces the image side, is a concave aspheric surface. The object-side surface 752 and the image-side surface 754 each has an inflection point.
The infrared rays filter 770 is made of glass, and between the fifth lens 750 and the image plane 780. The infrared rays filter 770 gives no contribution to the focal length of the system.
The parameters of the lenses of the seventh preferred embodiment are |f2|+|f3|+|f4|=110.6754 mm; |f1|+|f5|=6.4169 mm; and |f2|+|f3|+|f4|>|f1|+|f5|, where f1 is a focal length of the first lens 710; f2 is a focal length of the second lens 720; f3 is a focal length of the third lens 730; and f4 is a focal length of the fourth lens 740; and f5 is a focal length of the fifth lens 750.
The optical image capturing system of the seventh preferred embodiment further satisfies TP4=0.76006 mm and TP5=0.46989 mm, where TP4 is a thickness of the fourth lens 740 on the optical axis, and TP5 is a thickness of the fifth lens 750 on the optical axis.
In the seventh preferred embodiment, the second, the third, and the fourth lenses 720, 730, and 740 are positive lenses, and their focal lengths are f2, f3, and f4. The optical image capturing system of the seventh preferred embodiment further satisfies ΣPP=f2+f3+f4=33.5491 mm and f2/(f2+f3+f4)=0.1014, where ΣPP is a sum of the focal lengths of each positive lens. It is helpful to share the positive refractive power of the second lens 720 to the other positive lenses to avoid the significant aberration caused by the incident rays.
In the seventh preferred embodiment, the first and the fifth lenses 710 and 750 are negative lenses, and their focal lengths are f2 and f4. The optical image capturing system of the seventh preferred embodiment further satisfies ΣNP=f1+f5=−10.9133 mm; and f5/(f1+f5)=0.3957, 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 750 to the other negative lenses to avoid the significant aberration caused by the incident rays.
The parameters of the lenses of the seventh embodiment are listed in Table 13 and Table 14.







TABLE 13







f = 4.5109 mm; f/HEP = 2.0; HAF = 38 deg; tan(HAF) = 0.7813














Radius of curvature
Thickness

Refractive
Abbe
Focal length


Surface
(mm)
(mm)
Material
index
number
(mm)

















0
Object
plane
infinity






1
Aperture
infinity
−0.385091


2
1st lens
1.85523
0.587169
plastic
1.565
58
3.11775


3

−32.9305
0.106653


4
2nd lens
−6.48155
0.426519
plastic
1.583
30.2
−5.77282


5

7.26069
0.123024


7
3rd lens
8.15793
0.344398
plastic
1.65
21.4
100


7

9.1619
0.686252


8
4th lens
−5.85682
0.760058
plastic
1.565
58
4.9026


9

−1.97305
1.086948


10
5th lens
−1.89599
0.469893
plastic
1.514
56.8
−3.29915


13

17.95656
0.3


14
Filter
infinity
0.2

1.517
64.2


13

infinity
0.209088


14
Image
infinity



plane





Reference wavelength: 555 nm













TABLE 14





Coefficients of the aspheric surfaces




















Surface
2
3
4
5
6





k
−0.54105
28.624962
−49.969454
26.765522
38.507458


A4
 1.04644E−02
 1.37176E−02
8.94226E−03
−7.15939E−02
−1.30728E−01


A6
 8.46635E−03
−4.50738E−03
8.67547E−03
 8.82203E−04
−1.26521E−02


A8
−1.00228E−02
 8.21063E−03
2.61605E−04
−1.18147E−02
 9.70324E−03


A10
 9.32266E−03
−4.18944E−03
−6.40305E−03 
−2.30993E−03
 1.02754E−02


A12
−2.77916E−03
−1.06685E−03
1.94104E−03
−1.65283E−04
−7.68677E−03


A14
−1.76349E−04
 5.83212E−04
−6.23023E−05 
−2.68319E−04
−1.46307E−03















Surface
7
8
9
10
11





k
−28.451463
−10.744981
−0.752787
−0.583444
−50


A4
−1.31139E−02
−3.32070E−02
−2.13866E−03
−5.87507E−03 
−1.83665E−02


A6
−1.48810E−02
 9.65699E−04
−1.10599E−02
8.09848E−05
 4.88184E−05


A8
 4.25987E−02
−1.20125E−02
 2.92514E−03
2.15025E−04
−1.86044E−05


A10
−2.86184E−03
 5.03937E−03
 1.15135E−04
8.32973E−05
−1.41131E−06


A12
−8.58815E−03
−1.24227E−03
−1.25047E−03
1.43414E−05
−2.98905E−07


A14
 3.67744E−03
 1.50489E−04
 3.98961E−04
−2.83075E−06 
−5.83538E−08









An equation of the aspheric surfaces of the seventh embodiment is the same as that of the first embodiment, and the definitions are the same as well.
The exact parameters of the seventh embodiment based on Table 13 and Table 14 are listed in the following table:

















InRS11
InRS12
InRS21
InRS22
InRS31
InRS32


0.38509
−0.00037  
−0.05681  
−0.05265  
−0.11675 
0.12701


InRS41
InRS42
InRS51
InRS52
HVT51
HVT52


−0.36041  
−0.86711  
−1.40968  
−1.34916  
0.00000
0.84907


|ODT| %
|TDT| %
InRSO
InRSI
Σ|InRS|



2.01792
1.01741
2.32874
2.39630
4.72504











Σ|InRS|/InTL
Σ|InRS|/HOS
(|InRS32| + |InRS41|)/IN34
(|InRS42| + |InRS51|)/IN45


1.02922
0.89152
0.7103
2.0947 








(|InRS41| + |InRS42| + |InRS51| + |InRS52|)/InTL
(|InRS41| + |InRS42| + |InRS51| + |InRS52|)/HOS


0.86832
0.75214












|f/f1|
|f/f2|
|f/f3|
|f/f4|
|f/f5|
|f1/f2|


1.44684
0.78140
0.04511
0.92010
1.36729
0.54007


Σ PPR
Σ NPR
Σ PPR/| Σ NPR|
Σ PP
Σ NP
f1/Σ PP


2.41206
2.14869
1.12257
108.02035 
−9.07197 
0.02886


f5/Σ NP
IN12/f
HVT52/HOI
HVT52/HOS
|InRS51|/TP5
|InRS52|/TP5


0.36366
0.02364
0.23585
0.16020
3.0000 
2.8712 


HOS
InTL
HOS/HOI
InS/HOS
InTL/HOS
Σ TP/InTL


5.30000
4.59091
1.47222
0.92734
0.86621
0.56373


HVT41
HVT42






0    
0    









The exact parameters of the inflection points of the seventh embodiment based on Table 13 and Table 14 are listed in the following table:



















HIF121
0.44771
HIF121/
0.12436
SGI121
−0.00252
|SGI121|/(|SGI121| +
0.00427




HOI



TP1)


HIF122
1.05543
HIF122/
0.29318
SGI122
−0.00159
|SGI122|/(|SGI122| +
0.00271




HOI



TP1)


HIF211
0.66729
HIF211/
0.18536
SGI211
−0.02832
|SGI211|/(|SGI211| +
0.06226




HOI



TP2)


HIF212
1.00315
HIF212/
0.27865
SGI212
−0.04925
|SGI212|/(|SGI212| +
0.10351




HOI



TP2)


HIF221
0.42732
HIF221/
0.11870
SGI221
0.01050
|SGI221|/(|SGI221| +
0.02402




HOI



TP2)


HIF311
0.28786
HIF311/
0.07996
SGI311
0.00424
|SGI311|/(|SGI311| +
0.01216




HOI



TP3)


HIF421
1.51906
HIF421/
0.42196
SGI421
−0.71453
|SGI421|/(|SGI421| +
0.48456




HOI



TP4)


HIF511
1.78732
HIF511/
0.49648
SGI511
−0.94096
|SGI511|/(|SGI511| +
0.66694




HOI



TP5)


HIF521
0.48978
HIF521/
0.13605
SGI521
0.00556
|SGI521|/(|SGI521| +
0.01170




HOI



TP5)









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.

## Claims

1. An optical image capturing system, in order along an optical axis from
an object side to an image side, comprising:
a first lens having refractive power;
a second lens having refractive power;
a third lens having refractive power;
a fourth lens having refractive power;
a fifth lens having refractive power; and
an image plane;
wherein the optical image capturing system consists of the five lenses with refractive power; at least one of the lenses from the first lens to the fifth lens has positive refractive power; the fifth lens has an object-side surface, which faces the object side, and an image-side surface, which faces the image side, and both the object-side surface and the image-side surface of the fifth lens are aspheric surfaces;
wherein the optical image capturing system satisfies:


1.2≦f/HEP≦6.0;



0.5≦HOS/f≦5.0; and



0<Σ|InRS|/InTL≦3;


where f1, f2, f3, f4, and f5 are focal lengths of the first lens to the fifth lens, respectively; 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 on the optical axis from an object-side surface of the first lens to the image plane; Σ|InRS| is a sum of InRSO and InRSI, where InRSO is a sum of absolute values of the displacements for each lens with refractive power from the central point on the object-side surface passed through by the optical axis to the point on the optical axis where the projection of the maximum effective semi diameter of the object-side surface ends, and InRSI is 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 passed through by the optical axis to the point on the optical axis where the projection of the maximum effective semi diameter of the image-side surface ends; and InTL is a distance on the optical axis between the object-side surface of the first lens and the image-side surface of the fourth lens; and
wherein the optical image capturing system further satisfies:


|TDT|<1.5% and |ODT|≦2.5%;


where TDT is a TV distortion; and ODT is an optical distortion;
wherein the optical image capturing system further satisfies:


15 deg≦HAF≦70 deg;


where HAF is a half of a view angle of the optical image capturing system.

2. The optical image capturing system of claim 1, wherein the optical image capturing system further satisfies:


0 mm<HOS≦12 mm.

3. The optical image capturing system of claim 2, wherein the first lens has positive refractive power, and the fourth lens has positive refractive power.

4. The optical image capturing system of claim 1, wherein the optical image capturing system further satisfies:


0.45≦InTL/HOS≦0.9.

5. The optical image capturing system of claim 1, wherein the optical image capturing system further satisfies:


0.45≦TP/InTL≦0.95;

where ΣTP is a sum of central thicknesses of the lenses, which have refractive power, on the optical axis.

6. The optical image capturing system of claim 5, further comprising an aperture,
wherein the optical image capturing system further satisfies:


0.5≦InS/HOS≦1.1;


where InS is a distance in parallel with the optical axis between the aperture and the image plane.

7. An optical image capturing system, in order along an optical axis from
an object side to an image side, comprising:
a first lens having positive refractive power;
a second lens having refractive power;
a third lens having refractive power;
a fourth lens having refractive power;
a fifth lens having refractive power;
an image plane;
wherein the optical image capturing system consists of the five lenses with refractive power; at least two of the lenses from the first lens to the fifth lens each has at least an inflection point on at least a surface thereof; at least one of the lenses from the second lens to the fifth lens has positive refractive power; the fifth lens has an object-side surface, which faces the object side, and an image-side surface, which faces the image side, and both the object-side surface and the image-side surface of the fifth lens are aspheric surfaces;
wherein the optical image capturing system satisfies:


1.2≦f/HEP≦6.0;



0.5HOS/f≦5.0; and



0<Σ|InRS|/InTL≦3;


where f1, f2, f3, 14, and f5 are focal lengths of the first lens to the fifth lens, respectively; 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 on the optical axis between an object-side surface, which face the object side, of the first lens and the image plane; Σ|InRS| is a sum of InRSO and InRSI, where InRSO is a sum of absolute values of the displacements for each lens with refractive power from the central point on the object-side surface passed through by the optical axis to the point on the optical axis where the projection of the maximum effective semi diameter of the object-side surface ends, and InRSI is a sum of absolute values of the displacements for each lens with refractive power from the central point on the image-side surface passed through by the optical axis to the point on the optical axis where the projection of the maximum effective semi diameter of the image-side surface ends; and InTL is a distance on the optical axis between the object-side surface of the first lens and the image-side surface of the fourth lens; and
wherein the optical image capturing system further satisfies:


|TDT|<1.5% and |ODT|≦2.5%;


where TDT is a TV distortion; and ODT is an optical distortion;
wherein the optical image capturing system further satisfies:


0 mm<Σ|InRS|≦10 mm.

8. The optical image capturing system of claim 7, wherein the fifth lens has negative refractive power; at least one of the surfaces of the fourth lens has at least an inflection point thereon, and at least one of the surfaces of the third lens has at least an inflection point thereon.

9. The optical image capturing system of claim 7, wherein the optical image capturing system further satisfies:


0.5≦ΣPPR≦10;

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.

10. The optical image capturing system of claim 7, wherein the second lens has negative refractive power, and the fourth lens has positive refractive power.

11. The optical image capturing system of claim 7, wherein the optical image capturing system further satisfies:


0 mm<|InRS41|+|InRS42|+|InRS51|+|InRS52|≦5 mm;

where InRS41 is a displacement from a point on the object-side surface of the fourth lens, through which the optical axis passes, to a point on the optical axis where the projection of the maximum effective semi diameter of the object-side surface of the fourth lens ends; InRS42 is a displacement from a point on the image-side surface of the fourth lens, through which the optical axis passes, to a point on the optical axis where the projection of the maximum effective semi diameter of the image-side surface of the fourth lens ends; InRS51 is a displacement from a point on the object-side surface of the fifth lens, through which the optical axis passes, to a point on the optical axis where the projection of the maximum effective semi diameter of the object-side surface of the fifth lens ends; and InRS52 is a displacement from a point on the image-side surface of the fifth lens, through which the optical axis passes, to a point on the optical axis where the projection of the maximum effective semi diameter of the image-side surface of the fifth lens ends.

12. The optical image capturing system of claim 11, wherein the optical image capturing system further satisfies:


0<(|InRS41|+|InRS42|+|InRS51|+|InRS52|)/InTL≦2.

13. The optical image capturing system of claim 11, wherein the optical image capturing system further satisfies:


0<(|InRS41|+|InRS42|+|InRS51|+|InRS52|)/HOS≦2.

14. The optical image capturing system of claim 7, wherein at least one of the surfaces of the first lens has at least an inflection point.

15. An optical image capturing system, in order along an optical axis from an object side to an image side, comprising:
a first lens having positive refractive power;
a second lens having refractive power;
a third lens having refractive power;
a fourth lens having positive refractive power;
a fifth lens having negative refractive power, and having at least an inflection point on an image-side surface, which faces the image side, and an object-side surface, which faces the object side, respectively, wherein at least one surface between the image-side surface and the object-side surface thereof has at least an inflection point; and
an image plane;
wherein the optical image capturing system consists of the five lenses having refractive power; at least two of the lenses from the first lens to the fourth lens each has at least an inflection point on at least a surface thereof; the first lens has an image-side surface, which faces the image side, and an object-side surface, which faces the object side; both the object-side surface and the image-side surface of the first lens are aspheric surfaces, and both the object-side surface and the image-side surface of the fifth lens are aspheric surfaces;
wherein the optical image capturing system satisfies:


1.2≦f/HEP≦3.0;



0.4≦|tan(HAF)|≦3.0;



0.5≦HOS/f≦3.0;



|TDT|<60%;



|ODT|≦50%; and



0<Σ|InRS|/InTL≦3;


where f1, f2, f3, 14, and f5 are focal lengths of the first lens to the fifth lens, respectively; f is a focal length of the optical image capturing system; HEP is an entrance pupil diameter of the optical image capturing system; HAF is a half of a view angle of the optical image capturing system; HOS is a distance on the optical axis between an object-side surface, which face the object side, of the first lens and the image plane; TDT is a TV distortion; and ODT is an optical distortion; Σ|InRS| is a sum of InRSO and InRSI, where InRSO is a sum of absolute values of the displacements for each lens with refractive power from the central point on the object-side surface passed through by the optical axis to the point on the optical axis where the projection of the maximum effective semi diameter of the object-side surface ends, and InRSI is a sum of absolute values of the displacements for each lens with refractive power from the central point on the image-side surface passed through by the optical axis to the point on the optical axis where the projection of the maximum effective semi diameter of the image-side surface ends; and InTL is a distance on the optical axis between the object-side surface of the first lens and the image-side surface of the fourth lens;
wherein the optical image capturing system further satisfies:


|TDT|<1.5% and |ODT|≦2.5%;


where TDT is a TV distortion; and ODT is an optical distortion;
wherein at least one of the surfaces of the first lens has at least an inflection point; at least one of the surfaces of the fourth lens has at least an inflection point; and at least one of the surfaces of the third lens has at least an inflection point.

16. The optical image capturing system of claim 15, wherein the optical image capturing system further satisfies:


0 mm<HOS≦6 mm.

17. The optical image capturing system of claim 15, wherein the optical image capturing system further satisfies:


0 mm<|InRS41|+|InRS42|+|InRS51|+|InRS52|≦5 mm;

where InRS41 is a displacement from a point on the object-side surface of the fourth lens, through which the optical axis passes, to a point on the optical axis where the projection of the maximum effective semi diameter of the object-side surface of the fourth lens ends; InRS42 is a displacement from a point on the image-side surface of the fourth lens, through which the optical axis passes, to a point on the optical axis where the projection of the maximum effective semi diameter of the image-side surface of the fourth lens ends; InRS51 is a displacement from a point on the object-side surface of the fifth lens, through which the optical axis passes, to a point on the optical axis where the projection of the maximum effective semi diameter of the object-side surface of the fifth lens ends; and InRS52 is a displacement from a point on the image-side surface of the fifth lens, through which the optical axis passes, to a point on the optical axis where the projection of the maximum effective semi diameter of the image-side surface of the fifth lens ends.

18. The optical image capturing system of claim 17, wherein the optical image capturing system further satisfies:


0≦(|InRS41|+|InRS42|+|InRS51|+|InRS52|)/InTL≦2.

19. The optical image capturing system of claim 17, further comprising an aperture and an image sensor on the image plane, wherein the image sensor has at least ten-million pixels, and the optical image capturing system further satisfies:


0.5≦InS/HOS≦1.1;

where InS is a distance in parallel with the optical axis between the aperture and the image plane.