# Patent

## Title
Optical image capturing system

## Abstract

An optical image capturing system includes, along the optical axis in order from an object side to an image side, a first lens, a second lens, a third lens, a fourth lens, and a fifth lens, wherein at least one lens among the first to the fifth lenses has positive refractive force, the fifth lens can have negative refractive force, wherein both surfaces thereof are aspheric, and at least one surface thereof has an inflection point, and wherein the lenses in the optical image capturing system which have refractive power include the first to the fifth lenses, whereby the optical image capturing system can increase aperture value and improve the imaging quality for use in compact cameras.

## Background
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 the ordinary photographing camera is commonly selected from charge coupled device (CCD) or complementary metal-oxide semiconductor sensor (CMOS Sensor). In addition, as advanced semiconductor manufacturing technology enables the minimization of the pixel size of the image sensing device, the development of the optical image capturing system towards the field of high pixels. Therefore, the requirement for high imaging quality is rapidly raised.
The conventional optical system of the portable electronic device usually has three or four lenses. However, the optical system is asked to take pictures in a dark environment, in other words, the optical system is asked to have a large aperture. The conventional optical system provides high optical performance as required.
It is an important issue to increase the quantity of light entering the lens. In addition, the modern lens is also asked to have several characters, including high image quality.
BRIEF SUMMARY OF THE INVENTION
The aspect of embodiment of the present disclosure directs to an optical image capturing system and an optical image capturing lens which use combination of refractive powers, convex and concave surfaces of five-piece optical lenses (the convex or concave surface in the disclosure denotes the geometrical shape of an image-side surface or an object-side surface of each lens on an optical axis) to increase the quantity of incoming light of the optical image capturing system, and to improve imaging quality for image formation, so as to be applied to minimized electronic products.
The term and its definition to the lens parameter in the embodiment of the present are shown as below for further reference.
The lens parameter related to a length or a height in the lens:
A height for image formation of the optical image capturing system is denoted by HOI. A height of the optical image capturing system is denoted by HOS. A distance from the object-side surface of the first lens to the image-side surface of the fifth lens is denoted by InTL. A distance from the first lens to the second lens is denoted by IN12 (instance). A central thickness of the first lens of the optical image capturing system on the optical axis is denoted by TP1 (instance).
The lens parameter related to a material in the lens:
An Abbe number of the first lens in the optical image capturing system is denoted by NA1 (instance). A refractive index of the first lens is denoted by Nd1 (instance).
The lens parameter related to a view angle 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. For any surface of any lens, a maximum effective half diameter (EHD) is a perpendicular distance between an optical axis and a crossing point on the surface where the incident light with a maximum viewing angle of the system passing the very edge of the entrance pupil. For example, the maximum effective half diameter of the object-side surface of the first lens is denoted by EHD11, the maximum effective half diameter of the image-side surface of the first lens is denoted by EHD12, the maximum effective half diameter of the object-side surface of the second lens is denoted by EHD21, the maximum effective half diameter of the image-side surface of the second lens is denoted by EHD22, and so on.
The lens parameter related to an arc length of the shape of a surface and a surface profile:
For any surface of any lens, a profile curve length of the maximum effective half diameter is, by definition, measured from a start point where the optical axis of the belonging optical image capturing system passes through the surface of the lens, along a surface profile of the lens, and finally to an end point of the maximum effective half diameter thereof. In other words, the curve length between the aforementioned start and end points is the profile curve length of the maximum effective half diameter, which is denoted by ARS. For example, the profile curve length of the maximum effective half diameter of the object-side surface of the first lens is denoted by ARS11, the profile curve length of the maximum effective half diameter of the image-side surface of the first lens is denoted by ARS12, the profile curve length of the maximum effective half diameter of the object-side surface of the second lens is denoted by ARS21, the profile curve length of the maximum effective half diameter of the image-side surface of the second lens is denoted by ARS22, and so on.
For any surface of any lens, a profile curve length of a half of the entrance pupil diameter (HEP) is, by definition, measured from a start point where the optical axis of the belonging optical image capturing system passes through the surface of the lens, along a surface profile of the lens, and finally to a coordinate point of a perpendicular distance where is a half of the entrance pupil diameter away from the optical axis. In other words, the curve length between the aforementioned stat point and the coordinate point is the profile curve length of a half of the entrance pupil diameter (HEP), and is denoted by ARE. For example, the profile curve length of a half of the entrance pupil diameter (HEP) of the object-side surface of the first lens is denoted by ARE11, the profile curve length of a half of the entrance pupil diameter (HEP) of the image-side surface of the first lens is denoted by ARE12, the profile curve length of a half of the entrance pupil diameter (HEP) of the object-side surface of the second lens is denoted by ARE21, the profile curve length of a half of the entrance pupil diameter (HEP) of the image-side surface of the second lens is denoted by ARE22, and so on.
The lens parameter related to a depth of the lens shape:
A distance in parallel with the optical axis from a point where the optical axis passes through to an end point of the maximum effective semi diameter on the object-side surface of the fifth lens is denoted by InRS51 (the depth of the maximum effective semi diameter). A distance in parallel with the optical axis from a point where the optical axis passes through to an end point of the maximum effective semi diameter on the image-side surface of the fifth lens is denoted by InRS52 (the depth of the maximum effective semi diameter). The depth of the maximum effective semi diameter (sinkage) on the object-side surface or the image-side surface of any other lens is denoted in the same manner.
The lens parameter related to the lens shape:
A critical point C is a tangent point on a surface of a specific lens, and the tangent point is tangent to a plane perpendicular to the optical axis and the tangent point cannot be a crossover point on the optical axis. To follow the past, a distance perpendicular to the optical axis between a critical point C41 on the object-side surface of the fourth lens and the optical axis is HVT41 (instance), and a distance perpendicular to the optical axis between a critical point C42 on the image-side surface of the fourth lens and the optical axis is HVT42 (instance). A distance perpendicular to the optical axis between a critical point C51 on the object-side surface of the fifth lens and the optical axis is HVT51 (instance), and a distance perpendicular to the optical axis between a critical point C52 on the image-side surface of the fifth lens and the optical axis is HVT52 (instance). A distance perpendicular to the optical axis between a critical point on the object-side or image-side surface of other lenses the optical axis is denoted in the same manner.
The object-side surface of the fifth lens has one inflection point IF511 which is nearest to the optical axis, and the sinkage value of the inflection point IF511 is denoted by SGI511 (instance). A distance perpendicular to the optical axis between the inflection point IF511 and the optical axis is HIF511 (instance). The image-side surface of the fifth lens has one inflection point IF521 which is nearest to the optical axis, and the sinkage value of the inflection point IF521 is denoted by SGI521 (instance). A distance perpendicular to the optical axis between the inflection point IF521 and the optical axis is HIF521 (instance).
The object-side surface of the fifth lens has one inflection point IF512 which is the second nearest to the optical axis, and the sinkage value of the inflection point IF512 is denoted by SGI512 (instance). A distance perpendicular to the optical axis between the inflection point IF512 and the optical axis is HIF512 (instance). The image-side surface of the fifth lens has one inflection point IF522 which is the second nearest to the optical axis, and the sinkage value of the inflection point IF522 is denoted by SGI522 (instance). A distance perpendicular to the optical axis between the inflection point IF522 and the optical axis is HIF522 (instance).
The object-side surface of the fifth lens has one inflection point IF513 which is the third nearest to the optical axis, and the sinkage value of the inflection point IF513 is denoted by SGI513 (instance). A distance perpendicular to the optical axis between the inflection point IF513 and the optical axis is HIF513 (instance). The image-side surface of the fifth lens has one inflection point IF523 which is the third nearest to the optical axis, and the sinkage value of the inflection point IF523 is denoted by SGI523 (instance). A distance perpendicular to the optical axis between the inflection point IF523 and the optical axis is HIF523 (instance).
The object-side surface of the fifth lens has one inflection point IF514 which is the fourth nearest to the optical axis, and the sinkage value of the inflection point IF514 is denoted by SGI514 (instance). A distance perpendicular to the optical axis between the inflection point IF514 and the optical axis is HIF514 (instance). The image-side surface of the fifth lens has one inflection point IF524 which is the fourth nearest to the optical axis, and the sinkage value of the inflection point IF524 is denoted by SGI524 (instance). A distance perpendicular to the optical axis between the inflection point IF524 and the optical axis is HIF524 (instance).
An inflection point, a distance perpendicular to the optical axis between the inflection point and the optical axis, and a sinkage value thereof on the object-side surface or image-side surface of other lenses is denoted in the same manner.
The lens parameter related to an aberration:
Optical distortion for image formation in the optical image capturing system is denoted by ODT. TV distortion for image formation in the optical image capturing system is denoted by TDT. Further, the range of the aberration offset for the view of image formation may be limited to 50%-100% field. An offset of the spherical aberration is denoted by DFS. An offset of the coma aberration is denoted by DFC.
Transverse aberration on an edge of an aperture is denoted by STA, which stands for STOP transverse aberration, and is used to evaluate the performance of one specific optical image capturing system. The transverse aberration of light in any field of view can be calculated with a tangential fan or a sagittal fan. More specifically, the transverse aberration caused when the longest operation wavelength (e.g., 650 nm or 656 nm) and the shortest operation wavelength (e.g., 470 nm or 486 nm) pass through the edge of the aperture can be used as the reference for evaluating performance. The coordinate directions of the aforementioned tangential fan can be further divided into a positive direction (upper light) and a negative direction (lower light). The longest operation wavelength which passes through the edge of the aperture has an imaging position on the image plane in a particular field of view, and the reference wavelength of the mail light (e.g., 555 nm or 587.5 nm) has another imaging position on the image plane in the same field of view. The transverse aberration caused when the longest operation wavelength passes through the edge of the aperture is defined as a distance between these two imaging positions. Similarly, the shortest operation wavelength which passes through the edge of the aperture has an imaging position on the image plane in a particular field of view, and the transverse aberration caused when the shortest operation wavelength passes through the edge of the aperture is defined as a distance between the imaging position of the shortest operation wavelength and the imaging position of the reference wavelength. The performance of the optical image capturing system can be considered excellent if the transverse aberrations of the shortest and the longest operation wavelength which pass through the edge of the aperture and image on the image plane in 0.7 field of view (i.e., 0.7 times the height for image formation HOI) are both less than 20 μm or 20 pixels. Furthermore, for a stricter evaluation, the performance cannot be considered excellent unless the transverse aberrations of the shortest and the longest operation wavelength which pass through the edge of the aperture and image on the image plane in 0.7 field of view are both less than 10 μm or 10 pixels.
The optical image capturing system has a maximum image height HOI on the image plane vertical to the optical axis. A transverse aberration at 0.7 HOI in the positive direction of the tangential fan after the longest operation wavelength passing through the edge of the aperture is denoted by PLTA; a transverse aberration at 0.7 HOI in the positive direction of the tangential fan after the shortest operation wavelength passing through the edge of the aperture is denoted by PSTA; a transverse aberration at 0.7 HOI in the negative direction of the tangential fan after the longest operation wavelength passing through the edge of the aperture is denoted by NLTA; a transverse aberration at 0.7 HOI in the negative direction of the tangential fan after the shortest operation wavelength passing through the edge of the aperture is denoted by NSTA; a transverse aberration at 0.7 HOI of the sagittal fan after the longest operation wavelength passing through the edge of the aperture is denoted by SLTA; a transverse aberration at 0.7 HOI of the sagittal fan after the shortest operation wavelength passing through the edge of the aperture is denoted by SSTA.
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 imaging quality.
The optical image capturing system of the present invention includes a first lens, a second lens, a third lens, a fourth lens, a fifth lens, and an image plane in order along an optical axis from an object side to an image side. The first lens has refractive power. Both the object-side surface and the image-side surface of the fifth lens are aspheric surfaces. The optical image capturing system satisfies:

1.2≦f/HEP≦6.0; 0.5≦HOS/f≦3.0; 0<InTL/HOS<0.9; and 1≦2(ARE/HEP)≦1.5;

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; InTL is a distance between the object-side surface of the first lens and the image-side surface of the fifth lens on the optical axis; ARE is a profile curve length measured from a start point where the optical axis of the belonging optical image capturing system passes through the surface of the lens, along a surface profile of the lens, and finally to a coordinate point of a perpendicular distance where is a half of the entrance pupil diameter away from the optical axis.
The present invention further provides an optical image capturing system, including a first lens, a second lens, a third lens, a fourth lens, a fifth lens, and an image plane in order along an optical axis from an object side to an image side. The first lens has positive refractive power, wherein the object-side surface thereof can be convex near the optical axis. The second lens has refractive power. The third lens has refractive power. The fourth lens has positive refractive power. The fifth lens has refractive power, and both the object-side surface and the image-side surface thereof are aspheric surfaces. At least two lenses among the first lens to the fifth lens respectively have at least an inflection point on at least a surface thereof. At least one lens between the second lens and the fifth lens has positive refractive power. The optical image capturing system satisfies:

1.2≦f/HEP≦6.0; 0.5≦HOS/f≦3.0; 0<InTL/HOS<0.9; and 1≦2(ARE/HEP)≦1.5;

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; InTL is a distance between the object-side surface of the first lens and the image-side surface of the fifth lens on the optical axis; ARE is a profile curve length measured from a start point where the optical axis of the belonging optical image capturing system passes through the surface of the lens, along a surface profile of the lens, and finally to a coordinate point of a perpendicular distance where is a half of the entrance pupil diameter away from the optical axis.

The present invention further provides an optical image capturing system, including a first lens, a second lens, a third lens, a fourth lens, a fifth lens, and an image plane, in order along an optical axis from an object side to an image side. The number of the lenses having refractive power in the optical image capturing system is five. At least two lenses among the first to the fifth lenses have at least an inflection point on at least one surface thereof. The first lens has positive refractive power, and the second lens has refractive power. The third lens has refractive power. The fourth lens has positive refractive power. The fifth lens has negative refractive power, wherein the object-side surface and the image-side surface thereof are both aspheric surfaces. The optical image capturing system satisfies:

1.2≦f/HEP3.5; 0.5≦HOS/f≦3.0; 0<InTL/HOS<0.9; and 1≦2(ARE/HEP)≦1.5;

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; InTL is a distance between the object-side surface of the first lens and the image-side surface of the fifth lens on the optical axis; ARE is a profile curve length measured from a start point where the optical axis of the belonging optical image capturing system passes through the surface of the lens, along a surface profile of the lens, and finally to a coordinate point of a perpendicular distance where is a half of the entrance pupil diameter away from the optical axis.
For any surface of any lens, the profile curve length within the effective half diameter affects the ability of the surface to correct aberration and differences between optical paths of light in different fields of view. With longer profile curve length, the ability to correct aberration is better. However, the difficulty of manufacturing increases as well. Therefore, the profile curve length within the effective half diameter of any surface of any lens has to be controlled. The ratio between the profile curve length (ARS) within the effective half diameter of one surface and the thickness (TP) of the lens, which the surface belonged to, on the optical axis (i.e., ARS/TP) has to be particularly controlled. For example, the profile curve length of the maximum effective half diameter of the object-side surface of the first lens is denoted by ARS11, the thickness of the first lens on the optical axis is TP1, and the ratio between these two parameters is ARS11/TP1; the profile curve length of the maximum effective half diameter of the image-side surface of the first lens is denoted by ARS12, and the ratio between ARS12 and TP1 is ARS12/TP1. The profile curve length of the maximum effective half diameter of the object-side surface of the second lens is denoted by ARS21, the thickness of the second lens on the optical axis is TP2, and the ratio between these two parameters is ARS21/TP2; the profile curve length of the maximum effective half diameter of the image-side surface of the second lens is denoted by ARS22, and the ratio between ARS22 and TP2 is ARS22/TP2. For any surface of other lenses in the optical image capturing system, the ratio between the profile curve length of the maximum effective half diameter thereof and the thickness of the lens which the surface belonged to is denoted in the same manner.
For any surface of any lens, the profile curve length within a half of the entrance pupil diameter (HEP) affects the ability of the surface to correct aberration and differences between optical paths of light in different fields of view. With longer profile curve length, the ability to correct aberration is better. However, the difficulty of manufacturing increases as well. Therefore, the profile curve length within a half of the entrance pupil diameter (HEP) of any surface of any lens has to be controlled. The ratio between the profile curve length (ARE) within a half of the entrance pupil diameter (HEP) of one surface and the thickness (TP) of the lens, which the surface belonged to, on the optical axis (i.e., ARE/TP) has to be particularly controlled. For example, the profile curve length of a half of the entrance pupil diameter (HEP) of the object-side surface of the first lens is denoted by ARE11, the thickness of the first lens on the optical axis is TP1, and the ratio between these two parameters is ARE11/TP1; the profile curve length of a half of the entrance pupil diameter (HEP) of the image-side surface of the first lens is denoted by ARE12, and the ratio between ARE12 and TP1 is ARE12/TP1. The profile curve length of a half of the entrance pupil diameter (HEP) of the object-side surface of the second lens is denoted by ARE21, the thickness of the second lens on the optical axis is TP2, and the ratio between these two parameters is ARE21/TP2; the profile curve length of a half of the entrance pupil diameter (HEP) of the image-side surface of the second lens is denoted by ARE22, and the ratio between ARE22 and TP2 is ARE22/TP2. For any surface of other lenses in the optical image capturing system, the ratio between the profile curve length of a half of the entrance pupil diameter (HEP) thereof and the thickness of the lens which the surface belonged to is denoted in the same manner.
In an embodiment, a height of the optical image capturing system (HOS) can be reduced while |f1|>f5.
In an embodiment, when |f2|+|f3|+|f4| and |f1|+|f5| of the lenses satisfy the aforementioned conditions, at least one lens among the second to the fourth lenses could have weak positive refractive power or weak negative refractive power. Herein the weak refractive power means the absolute value of the focal length of one specific lens is greater than 10. When at least one lens among the second to the fourth lenses has weak positive refractive power, it may share the positive refractive power of the first lens, and on the contrary, when at least one lens among the second to the fourth lenses has weak negative refractive power, it may fine turn and correct the aberration of the system.
In an embodiment, the fifth lens could have negative refractive power, and an image-side surface thereof is concave, it may reduce back focal length and size. Besides, the fifth lens can have at least an inflection point on at least a surface thereof, which may reduce an incident angle of the light of an off-axis field of view and correct the aberration of the off-axis field of view.



BRIEF DESCRIPTION OF THE SEVERAL VIEWS OF THE DRAWINGS
The present invention will be best understood by referring to the following detailed description of some illustrative embodiments in conjunction with the accompanying drawings, in which
FIG. 1A is a schematic diagram of a first embodiment of the present invention;
FIG. 1B shows curve diagrams of longitudinal spherical aberration, astigmatic field, and optical distortion of the optical image capturing system in the order from left to right of the first embodiment of the present application;
FIG. 1C shows a tangential fan and a sagittal fan of the optical image capturing system of the first embodiment of the present application, and a transverse aberration diagram at 0.7 field of view when a longest operation wavelength and a shortest operation wavelength pass through an edge of an aperture;
FIG. 2A is a schematic diagram of a second embodiment of the present invention;
FIG. 2B shows curve diagrams of longitudinal spherical aberration, astigmatic field, and optical distortion of the optical image capturing system in the order from left to right of the second embodiment of the present application;
FIG. 2C shows a tangential fan and a sagittal fan of the optical image capturing system of the second embodiment of the present application, and a transverse aberration diagram at 0.7 field of view when a longest operation wavelength and a shortest operation wavelength pass through an edge of an aperture;
FIG. 3A is a schematic diagram of a third embodiment of the present invention;
FIG. 3B shows curve diagrams of longitudinal spherical aberration, astigmatic field, and optical distortion of the optical image capturing system in the order from left to right of the third embodiment of the present application;
FIG. 3C shows a tangential fan and a sagittal fan of the optical image capturing system of the third embodiment of the present application, and a transverse aberration diagram at 0.7 field of view when a longest operation wavelength and a shortest operation wavelength pass through an edge of an aperture;
FIG. 4A is a schematic diagram of a fourth embodiment of the present invention;
FIG. 4B shows curve diagrams of longitudinal spherical aberration, astigmatic field, and optical distortion of the optical image capturing system in the order from left to right of the fourth embodiment of the present application;
FIG. 4C shows a tangential fan and a sagittal fan of the optical image capturing system of the fourth embodiment of the present application, and a transverse aberration diagram at 0.7 field of view when a longest operation wavelength and a shortest operation wavelength pass through an edge of an aperture;
FIG. 5A is a schematic diagram of a fifth embodiment of the present invention;
FIG. 5B shows curve diagrams of longitudinal spherical aberration, astigmatic field, and optical distortion of the optical image capturing system in the order from left to right of the fifth embodiment of the present application;
FIG. 5C shows a tangential fan and a sagittal fan of the optical image capturing system of the fifth embodiment of the present application, and a transverse aberration diagram at 0.7 field of view when a longest operation wavelength and a shortest operation wavelength pass through an edge of an aperture;
FIG. 6A is a schematic diagram of a sixth embodiment of the present invention;
FIG. 6B shows curve diagrams of longitudinal spherical aberration, astigmatic field, and optical distortion of the optical image capturing system in the order from left to right of the sixth embodiment of the present application; and
FIG. 6C shows a tangential fan and a sagittal fan of the optical image capturing system of the sixth embodiment of the present application, and a transverse aberration diagram at 0.7 field of view when a longest operation wavelength and a shortest operation wavelength pass through an edge of an aperture.



DETAILED DESCRIPTION OF THE INVENTION
An optical image capturing system of the present invention includes a first lens, a second lens, a third lens, a fourth lens, a fifth lens, and an image plane from an object side to an image side. The optical image capturing system further is provided with an image sensor at an image plane.
The optical image capturing system can work in three wavelengths, including 486.1 nm, 587.5 nm, and 656.2 nm, wherein 587.5 nm is the main reference wavelength and is the reference wavelength for obtaining the technical characters. The optical image capturing system can also work in five wavelengths, including 470 nm, 510 nm, 555 nm, 610 nm, and 650 nm wherein 555 nm is the main reference wavelength, and is the reference wavelength for obtaining the technical characters.
The optical image capturing system of the present invention satisfies 0.5≦ΣPPR/|ΣNPR|≦3.0, and a preferable range is 1≦|PPR/|ΣNPR|≦2.5, where PPR is a ratio of the focal length f of the optical image capturing system to a focal length fp of each of lenses with positive refractive power; NPR is a ratio of the focal length f of the optical image capturing system to a focal length fn of each of lenses with negative refractive power; ΣPPR is a sum of the PPRs of each positive lens; and ΣNPR is a sum of the NPRs of each negative lens. It is helpful for control of an entire refractive power and an entire length of the optical image capturing system.
The first lens can have 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, and an object-side surface, which faces the object side, thereof can be convex. It may correct the aberration of the first lens.
The third lens can have positive refractive power, and an image-side surface, which faces the image side, thereof can be convex. It may share the positive refractive power of the first lens, which prevents excessively increasing the spherical aberration, and lowers the sensitivity of the optical image capturing system.
The fourth lens can have positive refractive power, wherein at least one surface of the fourth lens can have at least an inflection point thereon. It may effectively adjust the incidence angle on the fourth lens of each field of view to improve the spherical aberration.
The fifth lens has negative refractive power, and an image-side surface, which faces the image side, thereof can be concave. It may shorten the back focal length to keep the system miniaturized. Besides, the fifth has at least an inflection point on at least a surface thereof to reduce the incident angle of the off-axis view angle light.
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≦2.5, and a preferable range is 1≦HOS/HOI≦2.5 and 1≦HOS/f≦2, where HOI is a half of a diagonal of an effective sensing area of the image sensor, i.e., the maximum image height, and HOS is a height of the optical image capturing system, i.e. a distance on the optical axis between the object-side surface of the first lens and the image plane. It is helpful for reduction of the size of the system for used in compact cameras.
The optical image capturing system of the present invention further is provided with an aperture to increase image quality.
In the optical image capturing system of the present invention, the aperture could be a front aperture or a middle aperture, wherein the front aperture is provided between the object and the first lens, and the middle is provided between the first lens and the image plane. The front aperture provides a long distance between an exit pupil of the system and the image plane, which allows more elements to be installed. The middle could enlarge a view angle of view of the system and increase the efficiency of the image sensor. The optical image capturing system satisfies 0.5≦InS/HOS≦1.1, where InS is a distance between the aperture and the image plane. It is helpful for size reduction and wide angle.
The optical image capturing system of the present invention satisfies 0.1≦ΣTP/InTL≦0.9, where InTL is a distance between the object-side surface of the first lens and the image-side surface of the fifth lens, and ΣTP is a sum of central thicknesses of the lenses on the optical axis. It is helpful for the contrast of image and yield rate of manufacture and provides a suitable back focal length for installation of other elements.
The optical image capturing system of the present invention satisfies 0.01<|R1/R2|<20, and a preferable range is 0.05<|R1/R2|<0.5, where R1 is a radius of curvature of the object-side surface of the first lens, and R2 is a radius of curvature of the image-side surface of the first lens. It provides the first lens with a suitable positive refractive power to reduce the increase rate of the spherical aberration.
The optical image capturing system of the present invention satisfies −7<(R9−R10)/(R9+R10)<2, where R9 is a radius of curvature of the object-side surface of the fifth lens, and R10 is a radius of curvature of the image-side surface of the fifth lens. It may modify the astigmatic field curvature.
The optical image capturing system of the present invention satisfies IN12/f≦0.8, where IN12 is a distance on the optical axis between the first lens and the second lens. It may correct chromatic aberration and improve the performance.
The optical image capturing system of the present invention satisfies IN45/f≦0.8, where IN45 is a distance on the optical axis between the fourth lens and the fifth lens. It may correct chromatic aberration and improve the performance.
The optical image capturing system of the present invention satisfies 0.1≦(TP1+IN12)/TP2≦10.0, where TP1 is a central thickness of the first lens on the optical axis, and TP2 is a central thickness of the second lens on the optical axis. It may control the sensitivity of manufacture of the system and improve the performance.
The optical image capturing system of the present invention satisfies 0.1≦(TP5+IN45)/TP≦10.0, where TP4 is a central thickness of the fourth lens on the optical axis, TP5 is a central thickness of the fifth lens on the optical axis, and IN45 is a distance between the fourth lens and the fifth lens. It may control the sensitivity of manufacture of the system and improve the performance.
The optical image capturing system of the present invention satisfies 0.1≦TP3/(IN23+TP3+IN34)<1, where TP2 is a central thickness of the second lens on the optical axis, TP3 is a central thickness of the third lens on the optical axis, TP4 is a central thickness of the fourth lens on the optical axis, IN23 is a distance on the optical axis between the second lens and the third lens, IN34 is a distance on the optical axis between the third lens and the fourth lens, and InTL is a distance between the object-side surface of the first lens and the image-side surface of the fifth lens. It may fine tune and correct the aberration of the incident rays layer by layer, and reduce the height of the system.
The optical image capturing system satisfies 0 mm≦HVT51≦3 mm; 0 mm<HVT526 mm; 0≦HVT51/HVT52; 0 mm≦|SGC51|≦0.5 mm; 0 mm<|SGC52|≦2 mm; and 0<|SGC52|/(|SGC52|+TP5)≦0.9, where HVT51 a distance perpendicular to the optical axis between the critical point C51 on the object-side surface of the fifth lens and the optical axis; HVT52 a distance perpendicular to the optical axis between the critical point C52 on the image-side surface of the fifth lens and the optical axis; SGC51 is a distance in parallel with the optical axis between an point on the object-side surface of the fifth lens where the optical axis passes through and the critical point C51; SGC52 is a distance in parallel with the optical axis between an point on the image-side surface of the fifth lens where the optical axis passes through and the critical point C52. It is helpful to correct the off-axis view field aberration.
The optical image capturing system satisfies 0.2≦HVT52/HOI≦3.9, and preferably satisfies 0.3≦HVT52/HOI≦0.8. It may help to correct the peripheral aberration.
The optical image capturing system satisfies 0≦HVT52/HOS≦0.5, and preferably satisfies 0.2≦HVT52/HOS≦0.45. It may help to correct the peripheral aberration.
The optical image capturing system of the present invention satisfies 0<SGI511/(SGI511+TP5)≦0.9; 0<SGI521/(SGI521+TP5)≦0.9, and it is preferable to satisfy 0.1≦SGI511/(SGI511+TP5)≦0.6; 0.1≦SGI521/(SGI521+TP5)≦0.6, where SGI511 is a displacement in parallel with the optical axis, from a point on the object-side surface of the fifth lens, through which the optical axis passes, to the inflection point on the object-side surface, which is the closest to the optical axis, and SGI521 is a displacement in parallel with the optical axis, from a point on the image-side surface of the fifth lens, through which the optical axis passes, to the inflection point on the image-side surface, which is the closest to the optical axis.
The optical image capturing system of the present invention satisfies 0<SGI512/(SGI512+TP5)≦0.9; 0<SGI522/(SGI522+TP5)≦0.9, and it is preferable to satisfy 0.1≦SGI512/(SGI512+TP5)≦0.6; 0.1≦SGI522/(SGI522+TP5)≦0.6, where SGI512 is a displacement in parallel with the optical axis, from a point on the object-side surface of the fifth lens, through which the optical axis passes, to the inflection point on the object-side surface, which is the second closest to the optical axis, and SGI522 is a displacement in parallel with the optical axis, from a point on the image-side surface of the fifth lens, through which the optical axis passes, to the inflection point on the image-side surface, which is the second closest to the optical axis.
The optical image capturing system of the present invention satisfies 0.001 mm≦|HIF511|≦5 mm; 0.001 mm≦|HIF521|≦5 mm, and it is preferable to satisfy 0.1 mm≦|HIF511↑≦3.5 mm; 1.5 mm≦|HIF521|≦3.5 mm, where HIF511 is a distance perpendicular to the optical axis between the inflection point on the object-side surface of the fifth lens, which is the closest to the optical axis, and the optical axis; HIF521 is a distance perpendicular to the optical axis between the inflection point on the image-side surface of the fifth lens, which is the closest to the optical axis, and the optical axis.
The optical image capturing system of the present invention satisfies 0.001 mm≦|HIF512|≦5 mm; 0.001 mm≦|HIF522|≦5 mm, and it is preferable to satisfy 0.1 mm≦|HIF522≦3.5 mm; 0.1 mm≦|HIF512≦3.5 mm, where HIF512 is a distance perpendicular to the optical axis between the inflection point on the object-side surface of the fifth lens, which is the second closest to the optical axis, and the optical axis; HIF522 is a distance perpendicular to the optical axis between the inflection point on the image-side surface of the fifth lens, which is the second closest to the optical axis, and the optical axis.
The optical image capturing system of the present invention satisfies 0.001 mm≦|HIF513|≦5 mm; 0.001 mm≦|HIF523|≦5 mm, and it is preferable to satisfy 0.1 mm≦|HIF523|≦3.5 mm; 0.1 mm≦|HIF513|≦3.5 mm, where HIF513 is a distance perpendicular to the optical axis between the inflection point on the object-side surface of the fifth lens, which is the third closest to the optical axis, and the optical axis; HIF523 is a distance perpendicular to the optical axis between the inflection point on the image-side surface of the fifth lens, which is the third closest to the optical axis, and the optical axis.
The optical image capturing system of the present invention satisfies 0.001 mm≦|HIF514|≦5 mm; 0.001 mm≦|HIF524|≦5 mm, and it is preferable to satisfy 0.1 mm≦|HIF524|≦3.5 mm; 0.1 mm≦|HIF514|≦3.5 mm, where HIF514 is a distance perpendicular to the optical axis between the inflection point on the object-side surface of the fifth lens, which is the fourth closest to the optical axis, and the optical axis; HIF524 is a distance perpendicular to the optical axis between the inflection point on the image-side surface of the fifth lens, which is the fourth closest to the optical axis, and the optical axis.
In an embodiment, the lenses of high Abbe number and the lenses of low Abbe number are arranged in an interlaced arrangement that could be helpful for correction of aberration of the system.
An equation of aspheric surface is

z=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 the radius of curvature; and A4, A6, A8, A10, A12, A14, A16, A18, and A20 are high-order aspheric coefficients.
In the optical image capturing system, the lenses could be made of plastic or glass. The plastic lenses may reduce the weight and lower the cost of the system, and the glass lenses may control the thermal effect and enlarge the space for arrangement of the refractive power of the system. In addition, the opposite surfaces (object-side surface and image-side surface) of the first to the fifth lenses could be aspheric that can obtain more control parameters to reduce aberration. The number of aspheric glass lenses could be less than the conventional spherical glass lenses, which is helpful for reduction of the height of the system.
When the lens has a convex surface, which means that the surface is convex around a position, through which the optical axis passes, and when the lens has a concave surface, which means that the surface is concave around a position, through which the optical axis passes.
The optical image capturing system of the present invention could be applied in a dynamic focusing optical system. It is superior in the correction of aberration and high imaging quality so that it could be allied in lots of fields.
The optical image capturing system of the present invention could further include a driving module to meet different demands, wherein the driving module can be coupled with the lenses to move the lenses. The driving module can be a voice coil motor (VCM), which is used to move the lens for focusing, or can be an optical image stabilization (OIS) component, which is used to lower the possibility of having the problem of image blurring which is caused by subtle movements of the lens while shooting.
We provide several embodiments in conjunction with the accompanying drawings for the best understanding, which are:
First Embodiment
As shown in FIG. 1A and FIG. 1B, an optical image capturing system 10 of the first embodiment of the present invention includes, along an optical axis from an object side to an image side, a first lens 110, an aperture 100, a second lens 120, a third lens 130, a fourth lens 140, a fifth lens 150, an infrared rays filter 180, an image plane 190, and an image sensor 192. FIG. 1C shows a tangential fan and a sagittal fan of the optical image capturing system 10 of the first embodiment of the present application, and a transverse aberration diagram at 0.7 field of view when a longest operation wavelength and a shortest operation wavelength pass through an edge of the aperture 100.
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. The object-side surface 112 and the image-side surface 114 both have an inflection point thereon. A profile curve length of the maximum effective half diameter of an object-side surface of the first lens 110 is denoted by ARS11, and a profile curve length of the maximum effective half diameter of the image-side surface of the first lens 110 is denoted by ARS12. A profile curve length of a half of an entrance pupil diameter (HEP) of the object-side surface of the first lens 110 is denoted by ARE11, and a profile curve length of a half of the entrance pupil diameter (HEP) of the image-side surface of the first lens 110 is denoted by ARE12. A thickness of the first lens 110 on the optical axis is TP1.
The first lens satisfies SGI111=0.19728 mm; |SGI111|/(|SGI111|+TP1)=0.24340; SGI121=0.00216 mm; |SGI121|/(|SGI121|+TP1)=0.00351, where SGI111 is a displacement in parallel with the optical axis from a point on the object-side surface of the first lens, through which the optical axis passes, to the inflection point on the object-side surface, which is the closest to the optical axis, and SGI121 is a displacement in parallel with the optical axis from a point on the image-side surface of the first lens, through which the optical axis passes, to the inflection point on the image-side surface, which is the closest to the optical axis.
The first lens satisfies HIF111=0.81258 mm; HIF111/HOI=0.27700; HIF121=0.22793 mm; HIF121/HOI=0.07770, where HIF111 is a displacement perpendicular to the optical axis from a point on the object-side surface of the first lens, through which the optical axis passes, to the inflection point, which is the closest to the optical axis; HIF121 is a displacement perpendicular to the optical axis from a point on the image-side surface of the first lens, through which the optical axis passes, to the inflection point, which is the closest to the optical axis.
The second lens 120 has negative refractive power and is made of plastic. An object-side surface 122 thereof, which faces the object side, is a convex aspheric surface, and an image-side surface 124 thereof, which faces the image side, is a concave aspheric surface. A profile curve length of the maximum effective half diameter of an object-side surface of the second lens 120 is denoted by ARS21, and a profile curve length of the maximum effective half diameter of the image-side surface of the second lens 120 is denoted by ARS22. A profile curve length of a half of an entrance pupil diameter (HEP) of the object-side surface of the second lens 120 is denoted by ARE21, and a profile curve length of a half of the entrance pupil diameter (HEP) of the image-side surface of the second lens 120 is denoted by ARE22. A thickness of the second lens 120 on the optical axis is TP2.
For the second lens, a displacement in parallel with the optical axis from a point on the object-side surface of the second lens, through which the optical axis passes, to the inflection point on the image-side surface, which is the closest to the optical axis is denoted by SGI211, and a displacement in parallel with the optical axis from a point on the image-side surface of the second lens, through which the optical axis passes, to the inflection point on the image-side surface, which is the closest to the optical axis is denoted by SGI221.
For the second lens, a displacement perpendicular to the optical axis from a point on the object-side surface of the second lens, through which the optical axis passes, to the inflection point, which is the closest to the optical axis is denoted by HIF211, and a displacement perpendicular to the optical axis from a point on the image-side surface of the second lens, through which the optical axis passes, to the inflection point, which is the closest to the optical axis is denoted by HIF221.
The third lens 130 has positive refractive power and is made of plastic. An object-side surface 132, which faces the object side, is a convex aspheric surface, and an image-side surface 134, which faces the image side, is a concave aspheric surface. The object-side surface 132 and the image-side surface 134 both have two inflection points. A profile curve length of the maximum effective half diameter of an object-side surface of the third lens 130 is denoted by ARS31, and a profile curve length of the maximum effective half diameter of the image-side surface of the third lens 130 is denoted by ARS32. A profile curve length of a half of an entrance pupil diameter (HEP) of the object-side surface of the third lens 130 is denoted by ARE31, and a profile curve length of a half of the entrance pupil diameter (HEP) of the image-side surface of the third lens 130 is denoted by ARE32. A thickness of the third lens 130 on the optical axis is TP3.
The third lens 130 satisfies SGI311=0.03298 mm; |SGI311|/(|SGI311|+TP3)=0.09002; SGI321=0.02042 mm; |SGI321|/(|SGI321|+TP3)=0.05772, 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 further satisfies SGI312=0.05207 mm; |SGI312|1/(|SGI312|+TP3)=0.13510; SGI322=−0.02201 mm; |SGI322|/(|SGI322|+TP3)=0.06193, 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 object-side surface, which is the second closest to the optical axis.
The third lens 130 further satisfies HIF311=0.44853 mm; HIF311/HOI=0.15290; HIF321=0.44486 mm; HIF321/HOI=0.15165, where HIF311 is a distance perpendicular to the optical axis between the inflection point on the object-side surface of the third lens, which is the closest to the optical axis, and the optical axis; HIF321 is a distance perpendicular to the optical axis between the inflection point on the image-side surface of the third lens, which is the closest to the optical axis, and the optical axis.
The third lens 130 further satisfies HIF312=0.90272 mm; HIF312/HOI=0.30773; HIF322=1.01361 mm; HIF322/HOI=0.34553, 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 closest to the optical axis, and the optical axis; HIF322 is a distance perpendicular to the optical axis between the inflection point on the image-side surface of the third lens, which is the second closest to the optical axis, and the optical axis.
The fourth lens 140 has positive refractive power and is made of plastic. An object-side surface 142, which faces the object side, is a concave aspheric surface, and an image-side surface 144, which faces the image side, is a convex aspheric surface. The image-side surface 144 has two inflection points. A profile curve length of the maximum effective half diameter of an object-side surface of the fourth lens 140 is denoted by ARS41, and a profile curve length of the maximum effective half diameter of the image-side surface of the fourth lens 140 is denoted by ARS42. A profile curve length of a half of an entrance pupil diameter (HEP) of the object-side surface of the fourth lens 140 is denoted by ARE41, and a profile curve length of a half of the entrance pupil diameter (HEP) of the image-side surface of the fourth lens 140 is denoted by ARE42. A thickness of the fourth lens 140 on the optical axis is TP4.
The fourth lens 140 satisfies SGI421=−0.29255 mm; |SGI421|/(|SGI421+TP4)=0.38267, where SGI411 is a displacement in parallel with the optical axis, from a point on the object-side surface of the fourth lens, through which the optical axis passes, to the inflection point on the object-side surface, which is the closest to the optical axis, and SGI421 is a displacement in parallel with the optical axis, from a point on the image-side surface of the fourth lens, through which the optical axis passes, to the inflection point on the image-side surface, which is the closest to the optical axis.
The fourth lens 140 further satisfies SGI422=−0.48851 mm; |SGI422|/(|SGI422|+TP4)=0.50862, where SGI412 is a displacement in parallel with the optical axis, from a point on the object-side surface of the fourth lens, through which the optical axis passes, to the inflection point on the object-side surface, which is the second closest to the optical axis, and SGI422 is a displacement in parallel with the optical axis, from a point on the image-side surface of the fourth lens, through which the optical axis passes, to the inflection point on the object-side surface, which is the second closest to the optical axis.
The fourth lens 140 further satisfies HIF421=0.82535 mm; HIF421/HOI=0.28135, where HIF411 is a distance perpendicular to the optical axis between the inflection point on the object-side surface of the fourth lens, which is the closest to the optical axis, and the optical axis; HIF421 is a distance perpendicular to the optical axis between the inflection point on the image-side surface of the fourth lens, which is the closest to the optical axis, and the optical axis.
The fourth lens 140 further satisfies HIF422=1.28471 mm; HIF422/HOI=0.43794, where HIF412 is a distance perpendicular to the optical axis between the inflection point on the object-side surface of the fourth lens, which is the second closest to the optical axis, and the optical axis; HIF422 is a distance perpendicular to the optical axis between the inflection point on the image-side surface of the fourth lens, which is the second closest to the optical axis, and the optical axis.
The fifth lens 150 has negative refractive power and is made of plastic. An object-side surface 152, which faces the object side, is a convex aspheric surface, and an image-side surface 154, which faces the image side, is a concave aspheric surface. The object-side surface 152 and the image-side surface 154 both have two inflection points. A profile curve length of the maximum effective half diameter of an object-side surface of the fifth lens 150 is denoted by ARS51, and a profile curve length of the maximum effective half diameter of the image-side surface of the fifth lens 150 is denoted by ARS52. A profile curve length of a half of an entrance pupil diameter (HEP) of the object-side surface of the fifth lens 150 is denoted by ARE51, and a profile curve length of a half of the entrance pupil diameter (HEP) of the image-side surface of the fifth lens 150 is denoted by ARE52. A thickness of the fifth lens 150 on the optical axis is TP5.
The fifth lens 150 satisfies SGI511=0.00673 mm; |SGI511|/(|SGI511|+TP5)=0.01323; SGI521=0.09725 mm; |SGI521|/(|SGI521|+TP5)=0.16225, 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=−0.11308 mm; |SGI512|/(|SGI512|+TP5)=0.18381; SGI522=−0.00604 mm; |SGI522|/(|SGI522|+TP5)=0.01188, where SGI512 is a displacement in parallel with the optical axis, from a point on the object-side surface of the fifth lens, through which the optical axis passes, to the inflection point on the object-side surface, which is the second closest to the optical axis, and SGI522 is a displacement in parallel with the optical axis, from a point on the image-side surface of the fifth lens, through which the optical axis passes, to the inflection point on the object-side surface, which is the second closest to the optical axis.
The fifth lens 150 further satisfies HIF511=0.27152 mm; HIF511/HOI=0.09256; HIF521=0.50870 mm; HIF521/HOI=0.17341, where HIF511 is a distance perpendicular to the optical axis between the inflection point on the object-side surface of the fifth lens, which is the closest to the optical axis, and the optical axis; HIF521 is a distance perpendicular to the optical axis between the inflection point on the image-side surface of the fifth lens, which is the closest to the optical axis, and the optical axis.
The fourth lens 140 further satisfies HIF512=1.26187 mm; HIF512/HOI=0.43016; HIF512=2.13468 mm; HIF512/HOI=0.72769, where HIF512 is a distance perpendicular to the optical axis between the inflection point on the object-side surface of the fifth lens, which is the second closest to the optical axis, and the optical axis; HIF522 is a distance perpendicular to the optical axis between the inflection point on the image-side surface of the fifth lens, which is the second closest to the optical axis, and the optical axis.
The infrared rays filter 180 is made of glass and between the fifth lens 150 and the image plane 190. The infrared rays filter 180 gives no contribution to the focal length of the system.
The optical image capturing system 10 of the first embodiment has the following parameters, which are f=3.68765 mm; f/HEP=2.05; and HAF=38 and tan(HAF)=0.7813, where f is a focal length of the system; HAF is a half of the maximum field angle; and HEP is an entrance pupil diameter.
The parameters of the lenses of the first embodiment are f1=3.65523 mm; |f/f1|=1.0089; f5=−2.41708; and |f1|>f5, where f1 is a focal length of the first lens 110; and f5 is a focal length of the fifth lens 150.
The first embodiment further satisfies |f2|+|f3|+|f4|=20.3329; |f1|+|f5|=6.0723 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, f4 is a focal length of the fourth lens 140, and f5 is a focal length of the fifth lens 150.
The optical image capturing system 10 of the first embodiment further satisfies ΣPPR=f/f1+f/f3+f/f4=2.70744; ΣNPR=f/f2+f/f5=2.09358; ΣPPR/|ΣNPRΣ=1.29321; f/f2|=0.5679; |f/f3|=0.3309; |f/f4=1.3676; |f/f5|=0.83745; |f/f5|=1.5257, where PPR is a ratio of a focal length f of the optical image capturing system to a focal length fp of each of the lenses with positive refractive power; and NPR is a ratio of a focal length f of the optical image capturing system to a focal length fn of each of lenses with negative refractive power.
The optical image capturing system 10 of the first embodiment further satisfies InTL+BFL=HOS; HOS=4.48 mm; HOI=2.9335 mm; HOS/HOI=1.5272; HOS/f=1.2149; InS=4.2449 mm; and InS/HOS=0.9475, where InTL is a distance between the object-side surface 112 of the first lens 110 and the image-side surface 154 of the fifth lens 150; HOS is a height of the image capturing system, i.e. a distance between the object-side surface 112 of the first lens 110 and the image plane 190; InS is a distance between the aperture 100 and the image plane 190; HOI is a half of a diagonal of an effective sensing area of the image sensor 192, i.e., the maximum image height; and BFL is a distance between the image-side surface 154 of the fifth lens 150 and the image plane 190.
The optical image capturing system 10 of the first embodiment further satisfies ΣTP=2.2206 mm and ITP/InTL=0.6897, where ΣTP is a sum of the thicknesses of the lenses 110-150 with refractive power. It is helpful for the contrast of image and yield rate of manufacture and provides a suitable back focal length for installation of other elements.
The optical image capturing system 10 of the first embodiment further satisfies |R1/R2|=0.1749, where R1 is a radius of curvature of the object-side surface 112 of the first lens 110, and R2 is a radius of curvature of the image-side surface 114 of the first lens 110. It provides the first lens with a suitable positive refractive power to reduce the increase rate of the spherical aberration.
The optical image capturing system 10 of the first embodiment further satisfies (R9−R10)/(R9+R10)=0.6433, where R9 is a radius of curvature of the object-side surface 152 of the fifth lens 150, and R10 is a radius of curvature of the image-side surface 154 of the fifth lens 150. It may modify the astigmatic field curvature.
The optical image capturing system 10 of the first embodiment further satisfies ΣPP=f1+f3+f4=17.49479 and f1/(f1+f3+f4)=0.20893, 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 other positive lenses to avoid the significant aberration caused by the incident rays.
The optical image capturing system 10 of the first embodiment further satisfies ΣNP=f2+f5=−8.91038 mm; and f5/(f2+f5)=0.27127, where f2 is a focal length of the second lens 120, f5 is a focal length of the fifth lens 150, 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 the other negative lens, which avoid the significant aberration caused by the incident rays.
The optical image capturing system 10 of the first embodiment further satisfies IN12=0.0384098 mm and IN12/f=0.01042, where IN12 is a distance on the optical axis between the first lens 110 and the second lens 120. It may correct chromatic aberration and improve the performance.
The optical image capturing system 10 of the first embodiment further satisfies IN45=0.158316 mm; IN45/f=0.04293, where IN45 is a distance on the optical axis between the fourth lens 140 and the fifth lens 150. It may correct chromatic aberration and improve the performance.
The optical image capturing system 10 of the first embodiment further satisfies TP1=0.61326 mm; TP2=0.3 mm; TP3=0.33333 mm; and (TP1+IN12)/TP2=2.17223, where TP1 is a central thickness of the first lens 110 on the optical axis, TP2 is a central thickness of the second lens 120 on the optical axis, and TP3 is a central thickness of the third lens 130 on the optical axis. It may control the sensitivity of manufacture of the system and improve the performance.
The optical image capturing system 10 of the first embodiment further satisfies TP4=0.47195 mm; TP5=0.50210 mm; and (TP5+IN45)/TP4=1.39935, where TP4 is a central thickness of the fourth lens 140 on the optical axis, TP5 is a central thickness of the fifth lens 150 on the optical axis, and IN45 is a distance on the optical axis between the fourth lens 140 and the fifth lens 150. It may control the sensitivity of manufacture of the system and lower the total height of the system.
The optical image capturing system 10 of the first embodiment further satisfies TP2/TP3=0.90002; TP3/TP4=0.70628; TP4/TP5=0.93995; and TP3/(IN23+TP3+IN34)=0.64903, where IN34 is a distance on the optical axis between the third lens 130 and the fourth lens 140. It may control the sensitivity of manufacture of the system and lower the total height of the system.
The optical image capturing system 10 of the first embodiment further satisfies InRS41=−0.3851 mm; InRS42=−0.586478 mm; |InRS41|/TP4=0.81598 and |InRS42|/TP4=1.24267, where InRS41 is a displacement in parallel with the optical axis from a point on the object-side surface 142 of the fourth lens, through which the optical axis passes, to a point at the maximum effective semi diameter of the object-side surface 142 of the fourth lens; InRS42 is a displacement in parallel with the optical axis from a point on the image-side surface 144 of the fourth lens, through which the optical axis passes, to a point at the maximum effective semi diameter of the image-side surface 144 of the fourth lens; and TP4 is a central thickness of the fourth lens 140 on the optical axis. It is helpful for manufacturing and shaping of the lenses and is helpful to reduce the size.
For the optical image capturing system 10 of the first embodiment, HVT41 a distance perpendicular to the optical axis between the critical point on the object-side surface 142 of the fourth lens and the optical axis; and HVT42 a distance perpendicular to the optical axis between the critical point on the image-side surface 144 of the fourth lens and the optical axis.
The optical image capturing system 10 of the first embodiment further satisfies InRS51=−0.204125 mm; InRS52=−0.111733 mm; |InRS51|/TP5=0.40654 and |InRS52|/TP5=0.22253, where InRS51 is a displacement in parallel with the optical axis from a point on the object-side surface 152 of the fifth lens, through which the optical axis passes, to a point at the maximum effective semi diameter of the object-side surface 152 of the fifth lens; InRS52 is a displacement in parallel with the optical axis from a point on the image-side surface 154 of the fifth lens, through which the optical axis passes, to a point at the maximum effective semi diameter of the image-side surface 154 of the fifth lens; and TP5 is a central thickness of the fifth lens 150 on the optical axis. It is helpful for manufacturing and shaping of the lenses and is helpful to reduce the size.
The optical image capturing system 10 of the first embodiment satisfies HVT51=0.512995 mm; HVT52=1.30753 mm; and HVT51/HVT52=0.3923, where HVT51 a distance perpendicular to the optical axis between the critical point on the object-side surface 152 of the fifth lens and the optical axis; and HVT52 a distance perpendicular to the optical axis between the critical point on the image-side surface 154 of the fifth lens and the optical axis.
The optical image capturing system 10 of the first embodiment satisfies HVT52/HOI=0.4457. It is helpful for correction of the aberration of the peripheral view field of the optical image capturing system.
The optical image capturing system 10 of the first embodiment satisfies HVT52/HOS=0.2919. It is helpful for correction of the aberration of the peripheral view field of the optical image capturing system.
The second lens 120, the third lens 130, and the fifth lens 150 have negative refractive power. The optical image capturing system 10 of the first embodiment further satisfies NA5/NA3=1, where NA3 is an Abbe number of the third lens 130; and NA5 is an Abbe number of the fifth lens 150. It may correct the aberration of the optical image capturing system.
The optical image capturing system 10 of the first embodiment further satisfies |TDT|=0.639157%; |ODT|=2.52459%, where TDT is TV distortion; and ODT is optical distortion.
For the fifth lens 150 of the optical image capturing system 10 in the first embodiment, a transverse aberration at 0.7 field of view in the positive direction of the tangential fan after the longest operation wavelength passing through the edge of the aperture 100 is denoted by PLTA, and is 0.002 mm (the pixel size is 1.12 μm); a transverse aberration at 0.7 field of view in the positive direction of the tangential fan after the shortest operation wavelength passing through the edge of the aperture 100 is denoted by PSTA, and is 0.002 mm (the pixel size is 1.12 μm); a transverse aberration at 0.7 field of view in the negative direction of the tangential fan after the longest operation wavelength passing through the edge of the aperture 100 is denoted by NLTA, and is 0.003 mm (the pixel size is 1.12 μm); a transverse aberration at 0.7 field of view in the negative direction of the tangential fan after the shortest operation wavelength passing through the edge of the aperture 100 is denoted by NSTA, and is −0.003 mm (the pixel size is 1.12 μm); a transverse aberration at 0.7 field of view of the sagittal fan after the longest operation wavelength passing through the edge of the aperture 100 is denoted by SLTA, and is −0.004 mm (the pixel size is 1.12 μm); a transverse aberration at 0.7 field of view of the sagittal fan after the shortest operation wavelength passing through the edge of the aperture 100 is denoted by SSTA, and is 0.004 mm (the pixel size is 1.12 μm).
The parameters of the lenses of the first embodiment are listed in Table 1 and Table 2.







TABLE 1







f = 3.68765 mm; f/HEP = 2.05; HAF = 38 deg














Radius of curvature
Thickness

Refractive
Abbe
Focal length


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

















0
Object
plane
plane






1
Aperture/
1.66171
0.613259
Plastic
1.5346
56.07
3.65523



1st lens


2

9.5
0.03841


3
2nd lens
4.4103
0.3
Plastic
1.6425
22.465
−6.4933


4

2.09511
0.3


5
3rd lens
2.56592
0.333326
Plastic
1.5346
56.07
11.1432


6

4.29241
0.502411


7
4th lens
−2.11857
0.471949
Plastic
1.5346
56.07
2.69636


8

−0.92632
0.158316


9
5th lens
4.44003
0.502104
Plastic
1.5346
56.07
−2.41708


10

0.96379
0.3


11
Infrared
plane
0.21
BK7_SCH



rays



filter


12

plane
0.75168


13
Image
plane



plane





Reference wavelength: 555 nm; the position of blocking light: blocking at the first surface with effective semi diameter of 1.8 mm; blocking at the fourth surface with effective semi diameter of 1.7 mm.













TABLE 2





Coefficients of the aspheric surfaces

















Surface















1
2
3
4
5
6
7





k
−5.756495
−37.40291
−108.1256
−10.028056
−21.141348
10.107969
1.254233


A4
1.38781E−01
−2.38325E−01
−1.20457E−01
−9.87212E−03
−7.40825E−03
−6.56951E−02
2.04125E−01


A6
−9.83402E−02
6.48730E−01
5.22423E−01
2.85381E−01
−1.42045E−01
−8.49780E−02
−6.07873E−01


A8
1.48089E−02
−7.05647E−01
−3.87104E−01
−3.14387E−01
−2.18016E−01
−1.53175E−01
2.13933E+00


A10
1.15374E−01
−8.69580E−01
−1.10771E+00
1.71061E−01
1.13457E+00
4.25743E−01
−5.07032E+00


A12
−3.13777E−01
2.52433E+00
2.35677E+00
−1.72845E−01
−1.93816E+00
−5.41369E−01
7.73531E+00


A14
3.46750E−01
−2.06008E+00
−1.64576E+00
3.16095E−01
1.52237E+00
3.20124E−01
−7.50886E+00


A16
−2.20591E−01
5.87851E−01
4.02589E−01
−1.66614E−01
−4.32668E−01
−6.06884E−02
4.44245E+00


A18
5.85201E−02





−1.44931E+00


A20






1.98717E−01












Surface













8
9
10







k
−3.050304
−8.22E+01
−6.12E+00



A4
−2.73876E−02
−1.99350E−01
−1.38370E−01



A6
−1.42715E−01
1.72190E−01
1.04610E−01



A8
5.28787E−01
−1.52610E−01
−6.87850E−02



A10
−8.67084E−01
1.07920E−01
3.27680E−02



A12
8.78194E−01
−4.86280E−02
−1.09030E−02



A14
−5.28366E−01
1.35410E−02
2.45390E−03



A16
1.79522E−01
−2.27510E−03
−3.55330E−04



A18
−3.14470E−02
2.12210E−04
2.98290E−05



A20
2.16525E−03
−8.45910E−06
−1.09730E−06










The figures related to the profile curve lengths obtained based on Table 1 and Table 2 are listed in the following table:










First embodiment (Reference wavelength: 555 nm)





















ARE
1⁄2(HEP)
ARE value
ARE − 1⁄2(HEP)
2(ARE/HEP) %
TP
ARE/TP (%)





11
0.899
0.937
0.038
104.23%
0.613
152.86%


12
0.899
0.902
0.002
100.24%
0.613
147.02%


21
0.899
0.902
0.003
100.28%
0.300
300.66%


22
0.899
0.933
0.034
103.75%
0.300
311.04%


31
0.899
0.902
0.003
100.28%
0.333
270.59%


32
0.899
0.902
0.002
100.23%
0.333
270.46%


41
0.899
0.916
0.016
101.81%
0.472
194.03%


42
0.899
0.971
0.071
107.93%
0.472
205.69%


51
0.899
0.901
0.002
100.18%
0.502
179.46%


52
0.899
0.922
0.023
102.55%
0.502
183.69%





ARS
EHD
ARS value
ARS − EHD
(ARS/EHD) %
TP
ARS/TP (%)





11
0.899
0.937
0.038
104.23%
0.613
152.86%


12
0.969
0.975
0.006
100.63%
0.613
159.05%


21
0.990
0.994
0.004
100.39%
0.300
331.23%


22
0.979
1.030
0.051
105.25%
0.300
343.39%


31
1.084
1.089
0.005
100.48%
0.333
326.80%


32
1.147
1.158
0.011
100.99%
0.333
347.48%


41
1.277
1.363
0.086
106.77%
0.472
288.81%


42
1.534
1.656
0.123
107.99%
0.472
350.93%


51
2.107
2.135
0.029
101.36%
0.502
425.30%


52
2.348
2.447
0.099
104.20%
0.502
487.30%









The detail parameters of the first embodiment are listed in Table 1, in which the unit of the radius of curvature, thickness, and focal length are millimeter, and surface 0-10 indicates the surfaces of all elements in the system in sequence from the object side to the image side. Table 2 is the list of coefficients of the aspheric surfaces, in which A1-A20 indicate the coefficients of aspheric surfaces from the first order to the twentieth order of each aspheric surface. The following embodiments have the similar diagrams and tables, which are the same as those of the first embodiment, so we do not describe it again.
Second Embodiment
As shown in FIG. 2A and FIG. 2B, an optical image capturing system 20 of the second embodiment of the present invention includes, along an optical axis from an object side to an image side, 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 280, an image plane 290, and an image sensor 292. FIG. 2C is a transverse aberration diagram at 0.7 field of view of the second embodiment of the present application.
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 concave aspheric surface. The object-side surface 212 and the image-side surface 214 both have an inflection point.
The second lens 220 has positive 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 both have two inflection points.
The third lens 230 has negative refractive power and is made of plastic. An object-side surface 232, which faces the object side, is a convex aspheric surface, and an image-side surface 234, which faces the image side, is a concave aspheric surface. The object-side surface 232 and the image-side surface 234 both have an inflection point.
The fourth lens 240 has positive refractive power and is made of plastic. An object-side surface 242, which faces the object side, is a convex aspheric surface, and an image-side surface 244, which faces the image side, is a convex aspheric surface. The image-side surface 244 has an inflection point.
The fifth lens 250 has negative refractive power and is made of plastic. An object-side surface 252, which faces the object side, is a concave surface, and an image-side surface 254, which faces the image side, is a concave surface. It may help to shorten the back focal length to keep small in size. In addition, the image-side surface 254 both has two inflection points, which may reduce an incident angle of the light of an off-axis field of view and correct the aberration of the off-axis field of view.
The infrared rays filter 280 is made of glass and between the fifth lens 250 and the image plane 290. The infrared rays filter 280 gives no contribution to the focal length of the system.
The optical image capturing system of the second embodiment satisfies |f2|+|f3|+|f4|=110.7339 mm; |f1|+|f5|=19.4268 mm; and |f2|+|f3|+|f4|>|f1+|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.
In the second embodiment, the optical image capturing system of the second embodiment further satisfies ΣPP=118.70819 mm; and f1/ΣPP=0.13514, where ΣPP is a sum of the focal lengths of each positive lens. It is helpful to share the positive refractive power of the first lens 210 to other positive lenses to avoid the significant aberration caused by the incident rays.
The optical image capturing system of the second embodiment further satisfies ΣNP=−11.45249 mm; and f5/ΣNP=0.29549, where f5 is a focal length of the fifth lens 250, and ΣNP is a sum of the focal lengths of each negative lens. It is helpful to share the negative refractive power of the fifth lens 250 to the other negative lens.
The parameters of the lenses of the second embodiment are listed in Table 3 and Table 4.







TABLE 3







f = 4.8328 mm; f/HEP = 1.4; HAF = 38.0002 deg














Radius of curvature
Thickness

Refractive
Abbe
Focal length


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

















0
Object
plane
infinity






1
Aperture
plane
−0.034


2
1st lens
3.433247182
0.550
plastic
1.565
58.00
16.043


3

5.19625766
0.576


4
2nd lens
−1.512665852
0.327
plastic
1.650
21.40
100.000


5

−1.605018141
0.050


6
3rd lens
2.361695079
0.492
plastic
1.583
30.20
−8.068


7

1.454093279
0.136


8
4th lens
2.150390914
2.745
plastic
1.565
58.00
2.665


9

−2.733412015
0.608


10
5th lens
−4.265146638
0.559
plastic
1.607
26.60
−3.384


11

4.214297713
0.400


12
Infrared
plane
0.200

1.517
64.13



rays



filter


13

plane
0.869


14
Image
plane



plane





Reference wavelength: 555 nm; the position of blocking light: blocking at the seventh surface with effective semi diameter of 2.050 mm.













TABLE 4





Coefficients of the aspheric surfaces

















Surface















2
3
4
5
6
7
8





k
−8.629475E+00
−5.005119E+00
−1.476027E+00
−3.647437E+00
−9.827019E+00
−5.677896E+00
−4.408132E+00


A4
9.461341E−03
−3.122262E−02
3.750494E−02
1.558045E−02
2.352323E−02
−3.050577E−03
3.536567E−03


A6
−4.780743E−03
1.765010E−04
1.176840E−02
1.627703E−02
−6.679090E−03
3.961915E−03
1.877852E−03


A8
−1.439673E−03
−2.402534E−03
−8.313273E−03
−4.557360E−03
2.782409E−04
−1.413547E−03
−4.159789E−05


A10
5.377027E−04
1.957850E−04
8.188345E−04
−5.648085E−04
1.717272E−04
−9.044427E−05
−1.481684E−04


A12
−4.341801E−05
4.286351E−04
3.943149E−04
2.716994E−04
−6.625468E−05
4.001175E−05
2.979371E−05


A14
−9.547468E−06
−1.010978E−04
−9.184088E−05
−2.225498E−05
6.271686E−06
−2.254974E−06
−1.619843E−06












Surface













9
10
11







k
1.624895E−01
5.298814E−01
−1.447627E+01



A4
3.209521E−02
−1.421260E−02
−1.450157E−02



A6
−4.385547E−03
−2.113269E−03
1.618741E−03



A8
9.147872E−04
1.633603E−04
−5.561153E−05



A10
7.376192E−05
1.193678E−04
−6.470200E−06



A12
−3.382297E−06
−2.147520E−05
1.160055E−06



A14
−1.730860E−06
3.841447E−07
−5.583501E−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 based on Table 3 and Table 4 are listed in the following table:










Second embodiment (Reference wavelength: 555 nm)




















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





0.30125
0.04833
0.59898
1.81310
1.42809
0.16043















ΣPPR
ΣNPR
ΣPPR/|ΣNPR|
IN12/f
IN45/f
|f2/f3|





2.16268
2.02707
1.06690
0.11914
0.12583
12.39405












TP3/(IN23 + TP3 + IN34)
(TP1 + IN12)/TP2
(TP5 + IN45)/TP4





0.72532
3.44520
0.42522















HOS
InTL
HOS/HOI
InS/HOS
|ODT|%
|TDT|%





7.51256
6.04356
2.00871
0.99546
−2.01693
1.11234















HVT41
HVT42
HVT51
HVT52
HVT52/HOI
HVT52/HOS





0.00000
1.97503
0.00000
2.13691
0.00000
0.00000




















|InRS52|/


TP2/TP3
TP3/TP4
InRS51
InRS52
|InRS51/TP5
TP5





0.66426
0.17922
−0.951979
0.166359
1.70235
0.29749















PLTA
PSTA
NLTA
NSTA
SLTA
SSTA





−0.007 mm
0.009 mm
0.010 mm
0.005 mm
−0.015 mm
−0.0044







mm









The figures related to the profile curve lengths obtained based on Table 3 and Table 4 are listed in the following table:










Second embodiment (Reference wavelength: 555 nm)





















ARE
1⁄2(HEP)
ARE value
ARE − 1⁄2(HEP)
2(ARE/HEP) %
TP
ARE/TP (%)





11
1.726
1.748
0.022
101.29%
0.550
317.79%


12
1.726
1.748
0.022
101.29%
0.550
317.79%


21
1.726
1.842
0.116
106.70%
0.327
563.52%


22
1.726
1.776
0.050
102.91%
0.327
543.52%


31
1.726
1.789
0.063
103.66%
0.492
363.67%


32
1.726
1.810
0.084
104.86%
0.492
367.88%


41
1.726
1.834
0.108
106.27%
2.745
66.82%


42
1.726
1.774
0.048
102.77%
2.745
64.62%


51
1.726
1.844
0.118
106.86%
0.559
329.81%


52
1.726
1.735
0.009
100.49%
0.559
310.17%





ARS
EHD
ARS value
ARS − EHD
(ARS/EHD) %
TP
ARS/TP (%)





11
1.749
1.772
0.022
101.26%
0.550
322.01%


12
1.777
1.810
0.032
101.80%
0.550
328.92%


21
1.765
1.888
0.122
106.94%
0.327
577.69%


22
1.854
1.908
0.053
102.88%
0.327
583.73%


31
2.004
2.072
0.068
103.39%
0.492
421.08%


32
2.050
2.136
0.086
104.20%
0.492
434.16%


41
2.266
2.492
0.226
109.98%
2.745
90.79%


42
2.128
2.179
0.050
102.37%
2.745
79.36%


51
2.125
2.425
0.300
114.12%
0.559
433.64%


52
2.803
2.811
0.008
100.29%
0.559
502.62%









The results of the equations of the second embodiment based on Table 3 and Table 4 are listed in the following table:










Values related to the inflection points of the second embodiment


(Reference wavelength: 555 nm)






















HIF111
1.08878
HIF111/HOI
0.29112
SGI111
0.15183
|SGI111|/(|SGI111| + TP1)
0.21628


HIF121
0.66531
HIF121/HOI
0.17789
SGI121
0.03573
|SGI121|/(|SGI121| + TP1)
0.06098


HIF211
1.08840
HIF211/HOI
0.29102
SGI211
−0.31150
|SGI211|/(|SGI211| + TP2)
0.48801


HIF212
1.37547
HIF212/HOI
0.36777
SGI212
−0.43620
|SGI212|/(|SGI212| + TP2)
0.57168


HIF221
0.83704
HIF221/HOI
0.22381
SGI221
−0.17677
|SGI221|/(|SGI221| + TP2)
0.35103


HIF222
1.56518
HIF222/HOI
0.41850
SGI222
−0.36502
|SGI222|/(|SGI222| + TP2)
0.52762


HIF311
1.39099
HIF311/HOI
0.37192
SGI311
0.31709
|SGI311|/(|SGI311| + TP3)
0.39191


HIF321
1.24837
HIF321/HOI
0.33379
SGI321
0.34367
|SGI321|/(|SGI321| + TP3)
0.41126


HIF421
1.32014
HIF421/HOI
0.35298
SGI421
−0.26023
|SGI421|/(|SGI421| + TP4)
0.08659


HIF521
0.91420
HIF521/HOI
0.24444
SGI521
0.07783
|SGI521|/(|SGI521| + TP5)
0.12217


HIF522
2.42121
HIF522/HOI
0.64738
SGI522
0.16829
|SGI522|/(|SGI522| + TP5)
0.23132









Third Embodiment
As shown in FIG. 3A and FIG. 3B, an optical image capturing system of the third embodiment of the present invention includes, along an optical axis from an object side to an image side, 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 380, an image plane 390, and an image sensor 392. FIG. 3C is a transverse aberration diagram at 0.7 field of view of the third embodiment of the present application.
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 positive refractive power and is made of plastic. An object-side surface 322 thereof, which faces the object side, is a concave aspheric surface, and an image-side surface 324 thereof, which faces the image side, is a convex aspheric surface.
The third lens 330 has negative refractive power and is made of plastic. An object-side surface 332 thereof, which faces the object side, is a concave surface, and an image-side surface 334 thereof, which faces the image side, is a convex aspheric surface. The image-side surface 334 has an inflection point.
The fourth lens 340 has positive refractive power and is made of plastic. An object-side surface 342, which faces the object side, is a convex aspheric surface, and an image-side surface 344, which faces the image side, is a convex aspheric surface. The object-side surface 342 has an inflection point and the image-side surface 344 has two inflection points.
The fifth lens 350 has negative refractive power and is made of plastic. An object-side surface 352, which faces the object side, is a convex surface, and an image-side surface 354, which faces the image side, is a concave surface. It may help to shorten the back focal length to keep small in size. In addition, the object-side surface 352 has three inflection points, and the image-side surface 354 has an inflection point, which may reduce an incident angle of the light of an off-axis field of view and correct the aberration of the off-axis field of view.
The infrared rays filter 380 is made of glass and between the fifth lens 350 and the image plane 390. The infrared rays filter 390 gives no contribution to the focal length of the system.
The optical image capturing system of the second embodiment satisfies |f2|+|f3|+|f4|=91.6486; |f1|+|f5|=8.4748; 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, f4 is a focal length of the fourth lens 340, and f5 is a focal length of the fifth lens 350.
In the third embodiment, the optical image capturing system of the third embodiment further satisfies ΣPP=34.55259 mm; and f1/ΣPP=0.19468 mm, where ΣPP is a sum of the focal lengths of each positive lens. It is helpful to share the positive refractive power of the first lens 310 to other positive lenses to avoid the significant aberration caused by the incident rays.
The optical image capturing system of the third embodiment further satisfies ΣNP=−65.57082 mm; and f5/ΣP=0.02666, where ΣNP is a sum of the focal lengths of each negative lens. It is helpful to share the negative refractive power of the fifth lens 350 to the other negative lens.
The parameters of the lenses of the third embodiment are listed in Table 5 and Table 6.







TABLE 5







f = 4.68276 mm; f/HEP = 1.6; HAF = 38.0001 deg;














Radius of curvature
Thickness

Refractive
Abbe
Focal length


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

















0
Object
plane
infinity






1
Aperture
plane
−0.517


2
1st lens
2.566209311
0.543
plastic
1.565
58.00
6.727


3

7.248293317
1.054


4
2nd lens
−8.098724094
0.989
plastic
1.565
58.00
25.883


5

−5.448609954
0.433


6
3rd lens
−1.389451489
0.618
plastic
1.650
21.40
−63.823


7

−1.690393677
0.050


8
4th lens
7.364239171
1.332
plastic
1.565
58.00
1.942


9

−1.20965837
0.050


10
5th lens
9.732752744
0.396
plastic
1.583
30.20
−1.748


11

0.913492312
0.700


12
Infrared
plane
0.200

1.517
64.13



rays



filter


13

plane
0.981


14
Image
plane



plane





Reference wavelength: 555 nm; the position of blocking light: blocking at the fourth surface with effective semi diameter of 1.350 mm.













TABLE 6





Coefficients of the aspheric surfaces

















Surface















2
3
4
5
6
7
8





k
−2.047317E−01
4.976194E+00
1.628504E+01
2.916522E+00
−4.301318E−01
−7.389748E−01
5.370615E+00


A4
8.350923E−03
6.349848E−03
−3.490800E−02
−4.218460E−02
5.430834E−03
1.317501E−02
2.372978E−04


A6
3.546306E−03
−3.631254E−03
4.748019E−03
−7.185741E−04
1.721578E−02
1.540447E−04
−3.997454E−04


A8
−2.081995E−03
6.230267E−03
−1.222625E−02
−7.210672E−04
−7.284993E−03
6.356410E−04
4.189780E−05


A10
2.673453E−03
−4.332645E−03
3.745389E−03
−2.847380E−03
5.949785E−04
−1.239010E−04
6.180707E−06


A12
−1.175099E−03
1.651672E−03
4.951494E−04
1.083082E−03
3.737567E−04
−1.643699E−05
−2.407855E−06


A14
2.530313E−04
−2.432573E−04
−8.546436E−04
−8.900342E−05
2.396690E−05
4.496746E−06
−9.851550E−09












Surface













9
10
11







k
−8.910096E+00
−5.000000E+01
−5.616003E+00



A4
3.116258E−03
−1.962551E−02
−1.366378E−02



A6
4.988984E−04
6.795314E−04
8.067958E−04



A8
4.890759E−05
−9.492932E−07
−5.750768E−05



A10
1.817068E−05
3.563757E−06
−1.228612E−06



A12
−3.928346E−06
4.354574E−06
7.217204E−07



A14
1.084529E−07
−4.277470E−07
−3.851781E−08










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










Third embodiment (Reference wavelength: 555 nm)




















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





0.69613
0.18092
0.07337
2.41090
2.67905
0.25989















ΣPPR
ΣNPR
ΣPPR/|ΣNPR|
IN12/f
IN45/f
|f2/f3|





3.28794
2.75242
1.19457
0.22507
0.01068
0.40555












TP3/(IN23 + TP3 + IN34)
(TP1 + IN12)/TP2
(TP5 + IN45)/TP4





0.56122
1.61493
0.33474















HOS
InTL
HOS/HOI
InS/HOS
|ODT|%
|TDT|%





7.34768
5.46638
1.96462
0.92963
2.02282
1.16962















HVT41
HVT42
HVT51
HVT52
HVT52/HOI
HVT52/HOS





2.61049
2.16302
1.05292
2.26183
0.28153
0.14330















TP2/




|InRS52|/


TP3
TP3/TP4
InRS51
InRS52
|InRS51|/TP5
TP5





1.59979
0.46407
−0.361678
0.156317
0.91340
0.39477















PLTA
PSTA
NLTA
NSTA
SLTA
SSTA





−0.015 mm
0.005 mm
0.014 mm
−0.006 mm
−0.00 mm
0.010







mm









The figures related to the profile curve lengths obtained based on Table 5 and Table 6 are listed in the following table:










Third embodiment (Reference wavelength: 555 nm)





















ARE
1⁄2(HEP)
ARE value
ARE − 1⁄2(HEP)
2(ARE/HEP) %
TP
ARE/TP (%)





11
1.463
1.599
0.135
109.26%
0.543
294.22%


12
1.426
1.443
0.017
101.17%
0.543
265.45%


21
1.350
1.421
0.071
105.29%
0.989
143.70%


22
1.463
1.590
0.126
108.63%
0.989
160.72%


31
1.463
1.754
0.290
119.83%
0.618
283.61%


32
1.463
1.610
0.147
110.03%
0.618
260.42%


41
1.463
1.474
0.011
100.72%
1.332
110.63%


42
1.463
1.513
0.050
103.40%
1.332
113.57%


51
1.463
1.464
0.001
100.05%
0.396
369.76%


52
1.463
1.538
0.075
105.11%
0.396
388.43%





ARS
EHD
ARS value
ARS − EHD
(ARS/EHD) %
TP
ARS/TP (%)





11
1.470
1.608
0.138
109.39%
0.543
295.84%


12
1.426
1.443
0.017
101.17%
0.543
265.45%


21
1.350
1.421
0.071
105.29%
0.989
143.70%


22
1.676
1.958
0.281
116.78%
0.989
197.93%


31
1.688
2.131
0.444
126.29%
0.618
344.69%


32
2.077
2.417
0.340
116.36%
0.618
390.89%


41
2.783
2.840
0.057
102.04%
1.332
213.19%


42
2.972
3.046
0.074
102.51%
1.332
228.66%


51
3.020
3.072
0.051
101.70%
0.396
775.75%


52
3.440
3.638
0.198
105.74%
0.396
918.67%









The results of the equations of the third embodiment based on Table 5 and Table 6 are listed in the following table:










Values related to the inflection points of the third embodiment


(Reference wavelength: 555 nm)






















HIF321
1.97623
HIF321/HOI
0.52840
SGI321
−1.03269
|SGI321|/(|SGI321| + TP3)
0.62551


HIF411
2.14543
HIF411/HOI
0.57364
SGI411
0.34684
|SGI411|/(|SGI411| + TP4)
0.20656


HIF421
0.98184
HIF421/HOI
0.26252
SGI421
−0.22480
|SGI421|/(|SGI421| + TP4)
0.14437


HIF422
2.55283
HIF422/HOI
0.68257
SGI422
−0.44209
|SGI422|/(|SGI422| + TP4)
0.24915


HIF511
0.59189
HIF511/HOI
0.15826
SGI511
0.01487
|SGI511|/(|SGI511| + TP5)
0.03619


HIF512
2.17360
HIF512/HOI
0.58118
SGI512
−0.16256
|SGI512|/(|SGI512| + TP5)
0.29104


HIF513
2.75873
HIF513/HOI
0.73763
SGI513
−0.29309
|SGI513|/(|SGI513| + TP5)
0.42535


HIF521
0.83228
HIF521/HOI
0.22253
SGI521
0.23080
|SGI521|/(|SGI521| + TP5)
0.36824









Fourth Embodiment
As shown in FIG. 4A and FIG. 4B, an optical image capturing system 40 of the fourth embodiment of the present invention includes, along an optical axis from an object side to an image side, 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 480, an image plane 490, and an image sensor 492. FIG. 4C is a transverse aberration diagram at 0.7 field of view of the fourth embodiment of the present application.
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 object-side surface 412 has an inflection point, and the image-side surface 414 has two inflection points.
The second lens 420 has positive 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 negative refractive power and is made of plastic. An object-side surface 432 thereof, which faces the object side, is a concave aspheric surface, and an image-side surface 434 thereof, which faces the image side, is a convex aspheric surface. The object-side surface 432 and the image-side surface 434 both have an inflection point.
The fourth lens 440 has positive refractive power and is made of plastic. An object-side surface 442, which faces the object side, is a convex aspheric surface, and an image-side surface 444, which faces the image side, is a convex aspheric surface. The object-side surface 442 and the image-side surface 444 both have two inflection points.
The fifth lens 450 has negative refractive power and is made of plastic. An object-side surface 452, which faces the object side, is a concave surface, and an image-side surface 454, which faces the image side, is a concave surface. It may help to shorten the back focal length to keep small in size. In addition, the object-side surface 452 has two inflection points, and the image-side surface 454 has an inflection point, which may reduce an incident angle of the light of an off-axis field of view and correct the aberration of the off-axis field of view.
The infrared rays filter 480 is made of glass and between the fifth lens 450 and the image plane 490. The infrared rays filter 480 gives no contribution to the focal length of the system.
The optical image capturing system of the second embodiment satisfies |f2|+|f3|+|f4|=13.4727 mm; |f1|+f5|=8.1550 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.
In the fourth embodiment, the optical image capturing system of the fourth embodiment further satisfies ΣPP=15.01629 mm; and f1/ΣPP=0.34444, where ΣPP is a sum of the focal lengths of each positive lens. It is helpful to share the positive refractive power of the first lens 410 to other positive lenses to avoid the significant aberration caused by the incident rays.
The optical image capturing system of the fourth embodiment further satisfies ΣNP=−6.61138 mm; and f5/ΣNP=0.45116, where ΣNP is a sum of the focal lengths of each negative lens. It is helpful to share the negative refractive power of the fifth lens 450 to the other negative lens.
The parameters of the lenses of the fourth embodiment are listed in Table 7 and Table 8.







TABLE 7







f = 4.202 mm; f/HEP = 1.8; HAF = 41 deg














Radius of curvature
Thickness

Refractive
Abbe
Focal length


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

















0
Object
plane
infinity






1
Aperture
plane
−0.300


2
1st lens
2.265839504
0.808
plastic
1.565
58.00
5.172


3

8.690860795
0.527


4
2nd lens
−14.22889489
0.631
plastic
1.565
58.00
7.431


5

−3.30202588
0.271


6
3rd lens
−0.74193412
0.248
plastic
1.650
21.40
−3.629


7

−1.22118858
0.095


8
4th lens
2.525585268
0.942
plastic
1.583
30.20
2.413


9

−2.774548403
0.496


10
5th lens
−1.98119395
0.330
plastic
1.583
30.20
−2.983


11

15.86829171
0.500


12
Infrared
plane
0.200

1.517
64.13



rays



filter


13

plane
0.611


14
Image
plane



plane





Reference wavelength: 555 nm.













TABLE 8





Coefficients of the aspheric surfaces

















Surface















2
3
4
5
6
7
8





k
−4.728787E+00
4.222615E+01
5.000000E+01
3.764382E+00
−2.910285E+00
−4.123579E+00
−2.904585E+01


A4
4.392605E−02
−2.062158E−02
−5.859873E−02
−3.316115E−02
−5.589003E−03
1.456808E−02
−2.741635E−02


A6
−6.333093E−03
−2.351065E−02
−1.252445E−02
−1.118568E−02
6.168325E−03
1.274874E−03
2.952490E−03


A8
−7.441343E−03
6.071074E−03
−2.374130E−02
−6.947542E−04
−3.262817E−03
4.514663E−04
1.535417E−04


A10
3.548797E−03
−2.670973E−03
6.261608E−03
−1.500384E−04
−2.666052E−03
−1.264821E−03
−2.137910E−04


A12
8.326414E−04
−4.372711E−03
4.237196E−03
1.009977E−04
−1.629242E−04
−1.529002E−04
−1.109131E−04


A14
−1.256193E−03
1.537586E−03
−3.182012E−03
−5.282669E−05
5.814220E−04
3.704809E−04
3.017712E−05












Surface













9
10
11







k
−1.199052E+00
−5.274462E−01
7.326749E+00



A4
2.313903E−03
1.518794E−02
−1.469343E−02



A6
2.012551E−04
−2.417287E−03
2.200914E−04



A8
1.209695E−03
6.902244E−04
−3.833093E−05



A10
7.308202E−06
1.230465E−04
2.764342E−06



A12
−7.127287E−05
−1.462315E−06
4.286407E−08



A14
5.157536E−06
−5.829476E−06
−1.415128E−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 based on Table 7 and Table 8 are listed in the following table:










Fourth embodiment (Reference wavelength: 555 nm)




















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





0.81242
0.56546
1.15802
1.74147
1.40876
0.69601















ΣPPR
ΣNPR
ΣPPR/|ΣNPR|
IN12/f
IN45/f
|f2/f3|





3.11934
2.56678
1.21527
0.12539
0.11814
2.04794












TP3/(IN23 + TP3 + IN34)
(TP1 + IN12)/TP2
(TP5 + IN45)/TP4





0.40438
2.11487
0.87664















HOS
InTL
HOS/HOI
InS/HOS
|ODT|%
|TDT|%





5.66000
4.34917
1.51337
0.94693
2.00001
0.770827















HVT41
HVT42
HVT51
HVT52
HVT52/HOI
HVT52/HOS





1.24618
0.00000
0.00000
1.05547
0.00000
0.00000















TP2/




|InRS52|/


TP3
TP3/TP4
InRS51
InRS52
|InRS51|/TP5
TP5





2.54281
0.26343
−1.14425
−0.837308
3.46965
2.53893















PLTA
PSTA
NLTA
NSTA
SLTA
SSTA





−0.012 mm
0.009 mm
0.005 mm
−0.009
0.00029 mm
0.005 mm





mm











The figures related to the profile curve lengths obtained based on Table 7 and Table 8 are listed in the following table:










Fourth embodiment (Reference wavelength: 555 nm)





















ARE
1⁄2(HEP)
ARE value
ARE − 1⁄2(HEP)
2(ARE/HEP) %
TP
ARE/TP (%)





11
1.167
1.216
0.049
104.20%
0.808
150.47%


12
1.167
1.169
0.002
100.19%
0.808
144.68%


21
1.167
1.223
0.056
104.80%
0.631
193.76%


22
1.167
1.246
0.078
106.72%
0.631
197.31%


31
1.167
1.310
0.143
112.23%
0.248
527.62%


32
1.167
1.225
0.058
104.99%
0.248
493.59%


41
1.167
1.172
0.005
100.43%
0.942
124.38%


42
1.167
1.197
0.030
102.56%
0.942
127.02%


51
1.167
1.227
0.060
105.16%
0.330
372.19%


52
1.167
1.167
 −0.00004
100.00%
0.330
353.92%





ARS
EHD
ARS value
ARS − EHD
(ARS/EHD) %
TP
ARS/TP (%)





11
1.167
1.216
0.049
104.20%
0.808
150.47%


12
1.262
1.268
0.006
100.46%
0.808
156.83%


21
1.281
1.410
0.129
110.05%
0.631
223.27%


22
1.439
1.729
0.290
120.11%
0.631
273.85%


31
1.404
1.613
0.209
114.87%
0.248
649.74%


32
1.534
1.606
0.072
104.69%
0.248
646.72%


41
1.974
2.011
0.037
101.86%
0.942
213.35%


42
2.215
2.352
0.137
106.20%
0.942
249.59%


51
2.243
2.584
0.341
115.20%
0.330
783.60%


52
2.798
3.132
0.334
111.95%
0.330
949.71%









The results of the equations of the fourth embodiment based on Table 7 and Table 8 are listed in the following table:










Values related to the inflection points of the fourth embodiment


(Reference wavelength: 555 nm)






















HIF111
1.10981
HIF111/HOI
0.29674
SGI111
0.27398
|SGI111|/(|SGI111| + TP1)
0.25316


HIF121
0.58554
HIF121/HOI
0.15656
SGI121
0.01749
|SGI121|/(|SGI121| + TP1)
0.02119


HIF122
1.25346
HIF122/HOI
0.33515
SGI122
−0.02289
|SGI122|/(|SGI122| + TP1)
0.02754


HIF311
1.34003
HIF311/HOI
0.35830
SGI311
−0.69251
|SGI311|/(|SGI311| + TP3)
0.73609


HIF321
0.96656
HIF321/HOI
0.25844
SGI321
−0.26798
|SGI321|/(|SGI321| + TP3)
0.51908


HIF411
0.58131
HIF411/HOI
0.15543
SGI411
0.04891
|SGI411|/(|SGI411| + TP4)
0.04934


HIF412
1.88281
HIF412/HOI
0.50343
SGI412
−0.03956
|SGI412|/(|SGI412| + TP4)
0.04028


HIF421
1.35333
HIF421/HOI
0.36185
SGI421
−0.30581
|SGI421|/(|SGI421| + TP4)
0.24498


HIF422
1.77802
HIF422/HOI
0.47541
SGI422
−0.46077
|SGI422|/(|SGI422| + TP4)
0.32836


HIF511
1.68428
HIF511/HOI
0.45034
SGI511
−0.66548
|SGI511|/(|SGI511| + TP5)
0.66864


HIF512
1.80816
HIF512/HOI
0.48347
SGI512
−0.75014
|SGI512|/(|SGI512| + TP5)
0.69462


HIF521
0.60716
HIF521/HOI
0.16234
SGI521
0.00966
|SGI521|/(|SGI521| + TP5)
0.02847









Fifth Embodiment
As shown in FIG. 5A and FIG. 5B, an optical image capturing system of the fifth embodiment of the present invention includes, along an optical axis from an object side to an image side, 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 580, an image plane 590, and an image sensor 592. FIG. 5C is a transverse aberration diagram at 0.7 field of view of the fifth embodiment of the present application.
The first lens 510 has positive refractive power and is made of plastic. An object-side surface 512, which faces the object side, is a convex aspheric surface, and an image-side surface 514, which faces the image side, is a concave aspheric surface. The object-side surface 512 has an inflection point, and the image-side surface 514 has an inflection point.
The second lens 520 has positive refractive power and is made of plastic. An object-side surface 522 thereof, which faces the object side, is a convex aspheric surface, and an image-side surface 524 thereof, which faces the image side, is a convex aspheric surface. The object-side surface 522 has an inflection point.
The third lens 530 has negative refractive power and is made of plastic. An object-side surface 532, which faces the object side, is a concave aspheric surface, and an image-side surface 534, which faces the image side, is a convex aspheric surface. The object-side surface 532 and the image-side surface 534 both have an inflection point.
The fourth lens 540 has positive refractive power and is made of plastic. An object-side surface 542, which faces the object side, is a convex aspheric surface, and an image-side surface 544, which faces the image side, is a convex aspheric surface. The object-side surface 542 and the image-side surface 544 both have an inflection point.
The fifth lens 550 has negative refractive power and is made of plastic. An object-side surface 552, which faces the object side, is a concave surface, and an image-side surface 554, which faces the image side, is a concave surface. It may help to shorten the back focal length to keep small in size. In addition, the object-side surface 552 and the image-side surface 554 both have an inflection point, which may reduce an incident angle of the light of an off-axis field of view and correct the aberration of the off-axis field of view.
The infrared rays filter 580 is made of glass and between the fifth lens 550 and the image plane 590. The infrared rays filter 580 gives no contribution to the focal length of the system.
The optical image capturing system of the second embodiment satisfies |f2|+|f3|+|f4|=19.1654 mm; |f1|+f5|=7.8539 mm; and |f2|+|f3|+|f4|>|f1|+f5|, where f2 is a focal length of the second lens 520, f3 is a focal length of the third lens 530, f4 is a focal length of the fourth lens 540, and f5 is a focal length of the fifth lens 550.
In the fifth embodiment, the optical image capturing system of the fifth embodiment further satisfies ΣPP=15.10898 mm; and f1/ΣPP=0.34138, where ΣPP is a sum of the focal lengths of each positive lens. It is helpful to share the positive refractive power of the first lens 510 to other positive lenses to avoid the significant aberration caused by the incident rays.
The optical image capturing system of the fifth embodiment further satisfies ΣNP=−11.91030 mm; and f5/ΣNP=0.22635, 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 550 to the other negative lens.
The parameters of the lenses of the fifth embodiment are listed in Table 9 and Table 10.







TABLE 9







f = 4.21089 mm; f/HEP = 2.0; HAF = 41.0001 deg














Radius of curvature
Thickness

Refractive
Abbe
Focal length


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

















0
Object
plane
infinity






1
Aperture
plane
−0.178


2
1st lens
2.619856579
0.801
plastic
1.565
58.00
5.158


3

22.44031075
0.359


4
2nd lens
9.289883667
0.619
plastic
1.565
58.00
6.435


5

−5.860242904
0.257


6
3rd lens
−1.103740879
0.574
plastic
1.650
21.40
−9.214


7

−1.628526736
0.050


8
4th lens
5.706526229
0.833
plastic
1.583
30.20
3.516


9

−3.054497013
0.388


10
5th lens
−2.182932859
0.419
plastic
1.583
30.20
−2.696


11

6.142379884
0.500


12
Infrared
plane
0.200

1.517
64.13



rays



filter


13

plane
0.654


14
Image
plane



plane





Reference wavelength: 555 nm













TABLE 10





Coefficients of the aspheric surfaces

















Surface















2
3
4
5
6
7
8





k
−1.018743E+01
−3.660821E+01
2.205838E+01
−6.852040E+00
−3.016346E+00
−1.169209E+00
−3.135558E+01


A4
5.087558E−02
−5.167502E−02
−7.536045E−02
−3.669699E−02
−1.265325E−02
5.890609E−02
−6.612360E−02


A6
−3.931867E−02
−3.503191E−02
−1.416246E−02
−5.917379E−02
1.232353E−02
8.244388E−03
3.355475E−02


A8
4.261705E−03
2.663119E−02
−4.037038E−02
9.965343E−03
6.998031E−03
8.911492E−03
−7.261958E−03


A10
4.853782E−03
−2.493933E−02
8.767563E−03
6.688493E−03
−3.850589E−03
−4.811233E−03
−5.951389E−03


A12
−7.117559E−03
1.293040E−02
2.982246E−02
−3.528370E−04
−7.964218E−03
−2.512882E−03
3.438691E−03


A14
1.446733E−03
−2.273871E−03
−1.346964E−02
−1.205367E−03
3.547856E−03
1.157395E−03
−6.483059E−04












Surface













9
10
11







k
−4.270897E−01
1.824131E−01
−2.399117E+01



A4
−2.404983E−02
1.123612E−02
−1.706769E−02



A6
1.687846E−02
−6.275812E−04
−1.865036E−05



A8
−4.425273E−03
−3.430921E−04
−1.193521E−05



A10
−1.356273E−04
−5.180538E−04
4.721293E−06



A12
−3.667174E−04
−1.881813E−04
4.095122E−07



A14
1.281835E−04
1.077484E−04
−2.171827E−07










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










Fifth embodiment (Reference wavelength: 555 nm)




















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





0.81639
0.65436
0.45699
1.19767
1.56193
0.80152















ΣPPR
ΣNPR
ΣPPR/|ΣNPR|
IN12/f
IN45/f
|f2/f3|





2.66842
2.01892
1.32170
0.08514
0.09205
0.69839












TP3/(IN23 + TP3 + IN34)
(TP1 + IN12)/TP2
(TP5 + IN45)/TP4





0.65157
1.87401
0.96859















HOS
InTL
HOS/HOI
InS/HOS
|ODT|%
|TDT|%





5.65293
4.29861
1.51148
0.96860
2
0.434171















HVT41
HVT42
HVT51
HVT52
HVT52/HOI
HVT52/HOS





0.92070
0.00000
0.00000
1.29318
0.00000
0.00000















TP2/




|InRS52|/


TP3
TP3/TP4
InRS51
InRS52
|InRS51|/TP5
TP5





1.07856
0.68889
−1.07862
−0.627957
2.57384
1.49845















PLTA
PSTA
NLTA
NSTA
SLTA
SSTA





0.0001 mm
−0.005 mm
0.012 mm
−0.002
0.004 mm
0.004 mm





mm










The figures related to the profile curve lengths obtained based on Table 9 and Table 10 are listed in the following table:










Fifth embodiment (Reference wavelength: 555 nm)





















ARE
1⁄2(HEP)
ARE value
ARE − 1⁄2(HEP)
2(ARE/HEP) %
TP
ARE/TP (%)





11
1.053
1.070
0.018
101.66%
0.801
133.58%


12
1.053
1.059
0.006
100.60%
0.801
132.19%


21
1.053
1.061
0.008
100.77%
0.619
171.43%


22
1.053
1.083
0.030
102.86%
0.619
174.99%


31
1.053
1.130
0.077
107.30%
0.574
196.87%


32
1.053
1.086
0.033
103.16%
0.574
189.27%


41
1.053
1.053
 −0.00005
100.00%
0.833
126.39%


42
1.053
1.077
0.024
102.30%
0.833
129.31%


51
1.053
1.095
0.042
104.00%
0.419
261.25%


52
1.053
1.054
0.001
100.11%
0.419
251.47%





ARS
EHD
ARS value
ARS − EHD
(ARS/EHD) %
TP
ARS/TP (%)





11
1.053
1.070
0.018
101.66%
0.801
133.58%


12
1.217
1.240
0.023
101.89%
0.801
154.83%


21
1.285
1.335
0.050
103.91%
0.619
215.78%


22
1.408
1.608
0.200
114.18%
0.619
259.82%


31
1.384
1.526
0.142
110.25%
0.574
266.05%


32
1.520
1.561
0.042
102.76%
0.574
272.16%


41
1.616
1.685
0.069
104.27%
0.833
202.28%


42
1.852
2.060
0.208
111.23%
0.833
247.36%


51
1.922
2.299
0.376
119.58%
0.419
548.52%


52
2.676
2.925
0.249
109.30%
0.419
698.03%









The results of the equations of the fifth embodiment based on Table 9 and Table 10 are listed in the following table:










Values related to the inflection points of the fifth embodiment


(Reference wavelength: 555 nm)






















HIF111
0.86222
HIF111/HOI
0.23054
SGI111
0.13097
|SGI111|/(|SGI111| + TP1)
0.14050


HIF121
0.25468
HIF121/HOI
0.06809
SGI121
0.00122
|SGI121|/(|SGI121| + TP1)
0.00152


HIF211
0.33903
HIF211/HOI
0.09065
SGI211
0.00521
|SGI211|/(|SGI211| + TP2)
0.00835


HIF311
1.28477
HIF311/HOI
0.34352
SGI311
−0.52701
|SGI311|/(|SGI311| + TP3)
0.47877


HIF321
0.79281
HIF321/HOI
0.21198
SGI321
−0.16495
|SGI321|/(|SGI321| + TP3)
0.22330


HIF411
0.47132
HIF411/HOI
0.12602
SGI411
0.01563
|SGI411|/(|SGI411| + TP4)
0.01842


HIF421
1.70191
HIF421/HOI
0.45506
SGI421
−0.62539
|SGI421|/(|SGI421| + TP4)
0.42886


HIF511
1.70516
HIF511/HOI
0.45593
SGI511
−0.84886
|SGI511|/(|SGI511| + TP5)
0.66948


HIF521
0.72357
HIF521/HOI
0.19347
SGI521
0.03499
|SGI521|/(|SGI521| + TP5)
0.07706









Sixth Embodiment
As shown in FIG. 6A and FIG. 6B, an optical image capturing system of the sixth embodiment of the present invention includes, along an optical axis from an object side to an image side, an aperture 600, a first lens 610, a second lens 620, a third lens 630, a fourth lens 640, a fifth lens 650, an infrared rays filter 680, an image plane 690, and an image sensor 692. FIG. 6C is a transverse aberration diagram at 0.7 field of view of the sixth embodiment of the present application.
The first lens 610 has positive refractive power and is made of plastic. An object-side surface 612, which faces the object side, is a convex aspheric surface, and an image-side surface 614, which faces the image side, is a concave aspheric surface. The object-side surface 612 and the image-side surface 614 both have an inflection point.
The second lens 620 has negative refractive power and is made of plastic. An object-side surface 622 thereof, which faces the object side, is a convex aspheric surface, and an image-side surface 624 thereof, which faces the image side, is a concave aspheric surface. The object-side surface 622 and the image-side surface 624 respectively have an inflection point.
The third lens 630 has positive refractive power and is made of plastic. An object-side surface 632, which faces the object side, is a convex aspheric surface, and an image-side surface 634, which faces the image side, is a convex aspheric surface. The object-side surface 632 has an inflection point.
The fourth lens 640 has 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 object-side surface 642 and the image-side surface 644 both have an inflection point.
The fifth lens 650 has negative refractive power and is made of plastic. An object-side surface 652, which faces the object side, is a convex surface, and an image-side surface 654, which faces the image side, is a concave surface. The object-side surface 652 and the image-side surface 654 both have an inflection point. It may help to shorten the back focal length to keep small in size. In addition, it may reduce an incident angle of the light of an off-axis field of view and correct the aberration of the off-axis field of view.
The infrared rays filter 680 is made of glass and between the fifth lens 650 and the image plane 690. The infrared rays filter 680 gives no contribution to the focal length of the system.
The optical image capturing system of the second embodiment satisfies |f2|+|f3|+|f4|=26.1024 mm; |f1|+|f5|=10.9792 mm; and |f2|+|f3|+|f4|>|f1|+|f5|, where f2 is a focal length of the second lens 620, f3 is a focal length of the third lens 630, f4 is a focal length of the fourth lens 640, and f5 is a focal length of the fifth lens 650.
In the sixth embodiment, the first lens 610, the third lens 630, and the fourth lenses 640 are positive lenses, and their focal lengths are f1, f3, and f4. The optical image capturing system of the sixth embodiment further satisfies ΣPP=f1+f3+f4=21.25779 mm; and f1/(f1+f3+f4)=0.35286, where f1 is a focal length of the first lens 610, f3 is a focal length of the third lens 630, f4 is a focal length of the fourth lens 640, and 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 610 to other positive lenses to avoid the significant aberration caused by the incident rays.
The optical image capturing system of the sixth embodiment further satisfies ΣNP=f2+f5=−15.82380 mm; and f5/(f2+f5)=0.21980, where f2 is a focal length of the second lens 620, f5 is a focal length of the fifth lens 650, and 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 lens to avoid the significant aberration caused by the incident rays.
The parameters of the lenses of the sixth embodiment are listed in Table 11 and Table 12.







TABLE 11







f = 4.68853 mm; f/HEP = 1.8; HAF = 38 deg














Radius of curvature
Thickness

Refractive
Abbe
Focal length


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

















0
Object
plane
infinity






1
Aperture
plane
−0.161


2
1st lens
3.01192719
0.733
Plastic
1.565
58.00
7.501


3

9.421637837
0.507


4
2nd lens
3.43459039
0.354
Plastic
1.650
21.40
−12.346


5

2.312881196
0.381


6
3rd lens
31.28111475
0.939
Plastic
1.565
58.00
10.566


7

−7.326192096
0.565


8
4th lens
−3.376711742
0.871
Plastic
1.565
58.00
3.191


9

−1.287601945
0.050


10
5th lens
2.900744957
0.780
Plastic
1.583
30.20
−3.478


11

1.078636748
0.600


12
Infrared
plane
0.200

1.517
64.13



rays



filter


13

plane
1.063


14
Image
plane



plane





Reference wavelength: 555 nm; the position of blocking light: blocking at the first surface with effective semi diameter of 1.8 mm; blocking at the fourth surface with effective semi diameter of 1.7 mm.













TABLE 12





Coefficients of the aspheric surfaces

















Surface















2
3
4
5
6
7
8





k
−4.535402E+00
−2.715541E+01
−1.260125E+01
−5.105631E+00
5.000000E+01
−1.859382E+01
−1.670156E+01


A4
2.082750E−02
−1.073248E−02
−5.261525E−02
−3.206506E−02
−9.901981E−03
−1.596918E−02
−1.526929E−02


A6
7.145606E−04
3.186801E−03
−5.093252E−03
−7.282021E−04
7.496969E−04
−3.446354E−03
−3.824708E−04


A8
−2.543825E−03
−1.975121E−03
−1.592440E−03
1.658718E−03
−4.089758E−05
8.044274E−04
−6.977028E−04


A10
8.565422E−04
−6.414664E−04
5.578372E−04
−3.523094E−04
8.234584E−05
1.656935E−05
−1.403571E−04


A12
2.729945E−04
4.532820E−04
2.855392E−04
−1.912872E−04
−4.010367E−04
−1.337763E−04
−1.648954E−05


A14
−2.170476E−04
−2.132353E−04
−3.628428E−04
4.530383E−05
7.916187E−05
1.688031E−05
1.256451E−05












Surface













9
10
11







k
−3.375565E+00
−1.442939E+01
−4.631718E+00



A4
−2.365253E−02
−1.723102E−02
−1.698217E−02



A6
1.681813E−03
−2.048496E−03
8.623572E−04



A8
−2.547813E−04
3.394994E−05
−7.206398E−05



A10
−1.681747E−04
5.267951E−05
−2.098743E−08



A12
−1.593035E−05
8.642871E−06
6.974444E−07



A14
1.076519E−05
−2.259826E−06
−6.501014E−08










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










Sixth embodiment (Reference wavelength: 555 nm)




















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





0.62505
0.37977
0.44373
1.46946
1.34801
0.60758















ΣPPR
ΣNPR
ΣPPR/|ΣNPR|
IN12/f
IN45/f
|f2/f3|





2.53825
1.72779
1.46908
0.10804
0.01066
1.16843












TP3/(IN23 + TP3 + IN34)
(TP1 + IN12)/TP2
(TP5 + IN45)/TP4





0.49811
3.50429
0.95237















HOS
InTL
HOS/HOI
InS/HOS
|ODT|%
|TDT|%





7.04095
5.17843
1.88261
0.97708
2.06837
1.12761















HVT41
HVT42
HVT51
HVT52
HVT52/HOI
HVT52/HOS





0.00000
0.00000
1.39547
2.10022
0.37312
0.19819















TP2/




|InRS52|/


TP3
TP3/TP4
InRS51
InRS52
|InRS51|/TP5
TP5





0.37669
1.07753
−0.482666
−0.318016
0.61902
0.40786















PLTA
PSTA
NLTA
NSTA
SLTA
SSTA





0.002 mm
−0.012 mm
0.005 mm
−0.006 mm
0.008 mm
0.001







mm









The figures related to the profile curve lengths obtained based on Table 11 and Table 12 are listed in the following table:










Sixth embodiment (Reference wavelength: 555 nm)





















ARE
1/2(HEP)
ARE value
ARE − 1/2(HEP)
2(ARE/HEP) %
TP
ARE/TP (%)





11
1.302
1.347
0.045
103.43%
0.733
183.85%


12
1.302
1.303
0.001
100.06%
0.733
177.87%


21
1.302
1.313
0.011
100.84%
0.354
371.37%


22
1.302
1.320
0.017
101.34%
0.354
373.23%


31
1.302
1.302
−0.0001
 99.99%
0.939
138.72%


32
1.302
1.317
0.015
101.15%
0.939
140.32%


41
1.302
1.329
0.027
102.05%
0.871
152.56%


42
1.302
1.426
0.124
109.51%
0.871
163.71%


51
1.302
1.311
0.008
100.65%
0.780
168.12%


52
1.302
1.370
0.068
105.18%
0.780
175.69%





ARS
EHD
ARS value
ARS − EHD
(ARS/EHD) %
TP
ARS/TP (%)





11
1.468
1.528
0.061
104.13%
0.733
208.57%


12
1.536
1.550
0.014
100.88%
0.733
211.53%


21
1.521
1.612
0.091
105.95%
0.354
455.85%


22
1.847
1.880
0.034
101.82%
0.354
531.65%


31
1.871
1.923
0.052
102.80%
0.939
204.83%


32
2.055
2.366
0.311
115.15%
0.939
252.05%


41
2.090
2.367
0.277
113.27%
0.871
271.71%


42
2.199
2.733
0.534
124.31%
0.871
313.71%


51
2.517
2.767
0.250
109.93%
0.780
354.84%


52
3.246
3.742
0.496
115.27%
0.780
479.86%









The results of the equations of the sixth embodiment based on Table 11 and Table 12 are listed in the following table:










Values related to the inflection points of the sixth embodiment


(Reference wavelength: 555 nm)






















HIF111
1.33860
HIF111/HOI
0.35791
SGI111
0.31505
|SGI111|/(|SGI111| + TP1)
0.30071


HIF121
0.81088
HIF121/HOI
0.21681
SGI121
0.02919
|SGI121|/(|SGI121| + TP1)
0.03832


HIF211
0.54056
HIF211/HOI
0.14453
SGI211
0.03523
|SGI211|/(|SGI211| + TP2)
0.09059


HIF221
0.79896
HIF221/HOI
0.21363
SGI221
0.11126
|SGI221|/(|SGI221| + TP2)
0.23933


HIF311
0.53885
HIF311/HOI
0.14408
SGI311
0.00384
|SGI311|/(|SGI311| + TP3)
0.00408


HIF411
1.97823
HIF411/HOI
0.52894
SGI411
−0.76038
|SGI411|/(|SGI411| + TP4)
0.46603


HIF421
1.95709
HIF421/HOI
0.52329
SGI421
−1.20467
|SGI421|/(|SGI421| + TP4)
0.58031


HIF511
0.74546
HIF511/HOI
0.19932
SGI511
0.07504
|SGI511|/(|SGI511| + TP5)
0.08779


HIF521
0.88388
HIF521/HOI
0.23633
SGI521
0.24377
|SGI521|/(|SGI521| + TP5)
0.23817









It must be pointed out that the embodiments described above are only some embodiments of the present invention. All equivalent structures which employ the concepts disclosed in this specification and the appended claims should fall within the scope of the present invention.

## 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 positive refractive power;
a second lens having positive refractive power;
a third lens having negative refractive power;
a fourth lens having positive refractive power;
a fifth lens having negative refractive power; and
an image plane;
wherein the optical image capturing system consists of the five lenses with 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≦3.0;



0<InTL/HOS<0.9; and



1≦2(ARE/HEP)≦1.5;


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; HOS is a distance in parallel with the optical axis from an object-side surface of the first lens to the image plane; InTL is a distance in parallel with the optical axis from the object-side surface of the first lens to the image-side surface of the fifth lens; for any surface of any lens, ARE is a profile curve length measured from a start point where the optical axis passes therethrough, along a surface profile thereof, and finally to a coordinate point of a perpendicular distance where is a half of the entrance pupil diameter away from the optical axis.

2. The optical image capturing system of claim 1, wherein the optical image capturing system further satisfies:
PLTA≦50 μm;
PSTA≦50 μm;
NLTA≦50 μm;
NSTA≦50 μm;
SLTA≦50 μm;
SSTA≦50 μm; and
|TDT|<100%;
where TDT is a TV distortion; HOI is a height for image formation perpendicular to the optical axis on the image plane; PLTA is a transverse aberration at 0.7 HOI on the image plane in the positive direction of a tangential fan of the optical image capturing system after a longest operation wavelength passing through an edge of the aperture; PSTA is a transverse aberration at 0.7 HOI on the image plane in the positive direction of the tangential fan after a shortest operation wavelength passing through the edge of the aperture; NLTA is a transverse aberration at 0.7 HOI on the image plane in the negative direction of the tangential fan after the longest operation wavelength passing through the edge of the aperture; NSTA is a transverse aberration at 0.7 HOI on the image plane in the negative direction of the tangential fan after the shortest operation wavelength passing through the edge of the aperture; SLTA is a transverse aberration at 0.7 HOI on the image plane of a sagittal fan of the optical image capturing system after the longest operation wavelength passing through the edge of the aperture; SSTA is a transverse aberration at 0.7 HOI on the image plane of a sagittal fan after the shortest operation wavelength passing through the edge of the aperture.

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


1≦ARS/EHD≦1.5;

where, for any surface of any lens, EHD is a maximum effective half diameter thereof, ARS is a profile curve length measured from a start point where the optical axis passes therethrough, along a surface profile thereof, and finally to an end point of the maximum effective half diameter thereof.

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


0.5≦HOS/HOI≦2.5;

where HOI is a height for image formation perpendicular to the optical axis on the image plane.

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


0 deg<HAF≦80 deg;

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

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


0.5≦ARE51/TP5≦15; and



0.5≦ARE52/TP5≦15;

where ARE51 is a profile curve length measured from a start point where the optical axis passes the object-side surface of the fifth lens, along a surface profile of the object-side surface of the fifth lens, and finally to a coordinate point of a perpendicular distance where is a half of the entrance pupil diameter away from the optical axis; ARE52 is a profile curve length measured from a start point where the optical axis passes the image-side surface of the fifth lens, along a surface profile of the image-side surface of the fifth lens, and finally to a coordinate point of a perpendicular distance where is a half of the entrance pupil diameter away from the optical axis; TP5 is a thickness of the fifth lens on the optical axis.

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


0.5≦ARE41/TP4≦15; and



0.5≦ARE42/TP4≦15;

where ARE41 is a profile curve length measured from a start point where the optical axis passes the object-side surface of the fourth lens, along a surface profile of the object-side surface of the fourth lens, and finally to a coordinate point of a perpendicular distance where is a half of the entrance pupil diameter away from the optical axis; ARE42 is a profile curve length measured from a start point where the optical axis passes the image-side surface of the fourth lens, along a surface profile of the image-side surface of the fourth lens, and finally to a coordinate point of a perpendicular distance where is a half of the entrance pupil diameter away from the optical axis; TP4 is a thickness of the fourth lens on the optical axis.

8. The optical image capturing system of claim 1, further comprising an aperture, wherein the optical image capturing system further satisfies:


0.2≦InS/HOS≦1.1;

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

9. 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 positive refractive power;
a third lens having negative refractive power;
a fourth lens having positive refractive power;
a fifth lens having negative refractive power; and
an image plane;
wherein the optical image capturing system consists of the five lenses with refractive power; at least a surface of each of at least two lenses among the first lens to the fifth lens has at least an inflection point; 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≦3.0;



0<InTL/HOS<0.9; and



1≦2(ARE/HEP)≦1.5;


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 in parallel with the optical axis between an object-side surface, which face the object side, of the first lens and the image plane; InTL is a distance in parallel with the optical axis from the object-side surface of the first lens to the image-side surface of the third lens; for any surface of any lens, ARE is a profile curve length measured from a start point where the optical axis passes therethrough, along a surface profile thereof, and finally to a coordinate point of a perpendicular distance where is a half of the entrance pupil diameter away from the optical axis.

10. The optical image capturing system of claim 9, wherein the optical image capturing system further satisfies:
1≦ARS/EHD≦1.5;
where, for any surface of any lens, EHD is a maximum effective half diameter thereof, ARS is a profile curve length measured from a start point where the optical axis passes therethrough, along a surface profile thereof, and finally to an end point of the maximum effective half diameter thereof.

11. The optical image capturing system of claim 9, wherein at least a surface among the object-side surface and the image-side surface thereof has at least an inflection point.

12. The optical image capturing system of claim 9, wherein the optical image capturing system further satisfies:
PLTA≦50 μm;
PSTA≦50 μm;
NLTA≦50 μm;
NSTA≦50 μm;
SLTA≦50 μm; and
SSTA≦50 μm;
where HOI is a height for image formation perpendicular to the optical axis on the image plane; PLTA is a transverse aberration at 0.7 HOI on the image plane in the positive direction of a tangential fan of the optical image capturing system after a longest operation wavelength passing through an edge of the aperture; PSTA is a transverse aberration at 0.7 HOI on the image plane in the positive direction of the tangential fan after a shortest operation wavelength passing through the edge of the aperture; NLTA is a transverse aberration at 0.7 HOI on the image plane in the negative direction of the tangential fan after the longest operation wavelength passing through the edge of the aperture; NSTA is a transverse aberration at 0.7 HOI on the image plane in the negative direction of the tangential fan after the shortest operation wavelength passing through the edge of the aperture; SLTA is a transverse aberration at 0.7 HOI on the image plane of a sagittal fan of the optical image capturing system after the longest operation wavelength passing through the edge of the aperture; SSTA is a transverse aberration at 0.7 HOI on the image plane of a sagittal fan after the shortest operation wavelength passing through the edge of the aperture.

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


0<IN12/f≦0.8;

where IN12 is a distance on the optical axis between the first lens and the second lens.

14. The optical image capturing system of claim 9, wherein the optical image capturing system further satisfies:
0<IN45/f≦0.8;
where IN45 is a distance on the optical axis between the fourth lens and the fifth lens.

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


0.1≦(TP5+IN45)/TP4≦10;

where IN45 is a distance on the optical axis between the fourth lens and the fifth lens; TP5 is a thickness of the fifth lens on the optical axis; TP5 is a thickness of the fifth lens on the optical axis.

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


0.1≦(TP1+IN12)/TP2≦10;

where IN12 is a distance on the optical axis between the first lens and the second lens; TP1 is a thickness of the first lens on the optical axis; TP2 is a thickness of the second lens on the optical axis.

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


0<TP3/(IN23+TP3+IN34)<1;

where TP3 is a thickness of the third lens on the optical axis; IN23 is a distance on the optical axis between the second lens and the third lens; IN34 is a distance on the optical axis between the third lens and the fourth lens.

18. 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 positive refractive power;
a third lens having negative refractive power;
a fourth lens having positive refractive power;
a fifth lens having negative refractive power, wherein the fifth lens has at least an inflection point on at least one surface among an object-side surface, which faces the object side, and an image-side surface, which faces the image side, thereof; and
an image plane;
wherein the optical image capturing system consists of the five lenses having refractive power; at least a surface of each of at least two lenses among the first lens to the fourth lens has at least an inflection point thereon; both an object-side surface, which faces the object side, and an image-side surface, which faces the image side, of the fourth lens are aspheric surfaces; 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≦3.5;



0.4≦|tan(HAF)|≦6.0;



0.5≦HOS/f≦2.5;



0<InTL/HOS<0.9; and



1≦2(ARE/HEP)≦1.5;


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 in parallel with the optical axis between an object-side surface, which face the object side, of the first lens and the image plane; InTL is a distance in parallel with the optical axis from the object-side surface of the first lens to the image-side surface of the fifth lens; for any surface of any lens, ARE is a profile curve length measured from a start point where the optical axis passes therethrough, along a surface profile thereof, and finally to a coordinate point of a perpendicular distance where is a half of the entrance pupil diameter away from the optical axis.

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


1≦ARS/EHD≦1.5;

where, for any surface of any lens, EHD is a maximum effective half diameter thereof, ARS is a profile curve length measured from a start point where the optical axis passes therethrough, along a surface profile thereof, and finally to an end point of the maximum effective half diameter thereof.

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


0.5≦HOS/HOI≦2.5;

where HOI is a height for image formation perpendicular to the optical axis on the image plane.

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


0.5≦ARE51/TP5≦15; and



0.5≦ARE52/TP5≦15;

where ARE51 is a profile curve length measured from a start point where the optical axis passes the object-side surface of the fifth lens, along a surface profile of the object-side surface of the fifth lens, and finally to a coordinate point of a perpendicular distance where is a half of the entrance pupil diameter away from the optical axis; ARE52 is a profile curve length measured from a start point where the optical axis passes the image-side surface of the fifth lens, along a surface profile of the image-side surface of the fifth lens, and finally to a coordinate point of a perpendicular distance where is a half of the entrance pupil diameter away from the optical axis; TP5 is a thickness of the fifth lens on the optical axis.

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


0.5≦ARE41/TP4≦15; and



0.5≦ARE42/TP4≦15;

where ARE41 is a profile curve length measured from a start point where the optical axis passes the object-side surface of the fourth lens, along a surface profile of the object-side surface of the fourth lens, and finally to a coordinate point of a perpendicular distance where is a half of the entrance pupil diameter away from the optical axis; ARE42 is a profile curve length measured from a start point where the optical axis passes the image-side surface of the fourth lens, along a surface profile of the image-side surface of the fourth lens, and finally to a coordinate point of a perpendicular distance where is a half of the entrance pupil diameter away from the optical axis; TP4 is a thickness of the fourth lens on the optical axis.

23. The optical image capturing system of claim 18, further comprising an aperture an image sensor, and a driving module, wherein the image sensor is disposed on the image plane; the driving module is coupled with the lenses to move the lenses; the optical image capturing system further satisfies:


0.2≦InS/HOS≦1.1;

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