# Patent

## Title
Optical image capturing system

## Abstract

A four piece optical lens for capturing image and a five-piece optical module for capturing image, includes a first lens with positive refractive power; a second lens with refractive power; a third lens with refractive power; and a fourth lens with refractive power, in order from an object side to an image side, the optical lens along the optical axis. At least one of the image-side surface and object-side surface of each of the four lenses is aspheric. The optical lens 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, there is an increasing demand for an optical image capturing system. The image sensing device of ordinary photographing camera is commonly selected from charge coupled device (CCD) or complementary metal-oxide semiconductor sensor (CMOS Sensor). In addition, as advanced semiconductor manufacturing technology enables the minimization of pixel size of the image sensing device, the development of the optical image capturing system towards the field of high pixels. Therefore, the requirement for high imaging quality is rapidly rising.
The conventional optical system of the portable electronic device usually has a two-piece lens. However, to take pictures in a dark environment, the optical system needs a large aperture. An optical system with large aperture typically has several problems, such as, large aberration, poor image quality at periphery of the image, and is burdensome to manufacture. In addition, a wide-angle optical system usually has large distortion. Therefore, conventional optical systems do not provide high optical performance in these environments.
There is a need to increase the quantity of light entering the lens and the angle of field of the lens. In addition, the modern lens also needs improved properties, including high pixels, high image quality, a small size, and high optical performance.
BRIEF SUMMARY OF THE INVENTION
The embodiments of the present disclosure are directed to an optical image capturing system and an optical image capturing lens which use combinations of refractive powers, convex and concave surfaces of four-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 terms' definitions relate to the lens parameter in the embodiment of the present invention are provided 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 fourth lens is denoted by InTL. A distance from the image-side surface of the fourth lens to the image plane is denoted by InB. InTL+InB=HOS. 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.
The lens parameter related to a depth of the lens shape
A distance in parallel with an optical axis from a maximum effective semi diameter position to an axial point on the object-side surface of the fourth lens is denoted by InRS41 (instance). A distance in parallel with an optical axis from a maximum effective semi diameter position to an axial point on the image-side surface of the fourth lens is denoted by InRS42 (instance).
The lens parameter related to the lens shape:
A critical point C is a tangent point on a surface of a specific lens, and the tangent point is tangent to a plane perpendicular to the optical axis and the tangent point cannot be a crossover point on the optical axis. To follow the past, a distance perpendicular to the optical axis between a critical point C31 on the object-side surface of the third lens and the optical axis is HVT31 (instance). A distance perpendicular to the optical axis between a critical point C32 on the image-side surface of the third lens and the optical axis is HVT32 (instance). A distance perpendicular to the optical axis between a critical point C41 on the object-side surface of the fourth lens and the optical axis is HVT41 (instance). A distance perpendicular to the optical axis between a critical point C42 on the image-side surface of the fourth lens and the optical axis is HVT42 (instance). The object-side surface of the fourth lens has one inflection point IF411 which is nearest to the optical axis, and the sinkage value of the inflection point IF411 is denoted by SGI411. A distance perpendicular to the optical axis between the inflection point IF411 and the optical axis is HIF411 (instance). The image-side surface of the fourth lens has one inflection point IF421 which is nearest to the optical axis, and the sinkage value of the inflection point IF421 is denoted by SGI421 (instance). A distance perpendicular to the optical axis between the inflection point IF421 and the optical axis is HIF421 (instance). The object-side surface of the fourth lens has one inflection point IF412 which is the second nearest to the optical axis, and the sinkage value of the inflection point IF412 is denoted by SGI412 (instance). A distance perpendicular to the optical axis between the inflection point IF412 and the optical axis is HIF412 (instance). The image-side surface of the fourth lens has one inflection point IF422 which is the second nearest to the optical axis, and the sinkage value of the inflection point IF422 is denoted by SGI422 (instance). A distance perpendicular to the optical axis between the inflection point IF422 and the optical axis is HIF422 (instance).
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.
The present invention provides an optical image capturing system, in which the fourth 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 fourth 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, and a fourth lens, in order along an optical axis from an object side to an image side. The first lens has positive refractive power, and the fourth lens has refractive power. Both the object-side surface and the image-side surface of the fourth lens are aspheric surfaces. The optical image capturing system satisfies:

1.2≦f/HEP≦6.0; 0.5≦HOS/f≦3.0; 0<Σ|InRS|/InTL≦3

where f is a focal length of the optical image capturing system; HEP is an entrance pupil diameter of the optical image capturing system; 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 fourth lens; and Σ|InRS| is a sum of absolute values of displacements for each lens with refractive power from a central point on the object-side surface passed through by the optical axis to a point on the optical axis where the projection of the maximum effective semi diameter ends, i.e. Σ|InRS|=InRSO+InRSI while InRSO is a sum of absolute values of the displacements for each lens with refractive power from the central point on the object-side surface passed through by the optical axis, to a point on the optical axis where the projection of the maximum effective semi diameter of the object-side surface ends, and InRSI is a sum of absolute values of the displacements for each lens with refractive power from the central point on the image-side surface passed through by the optical axis to the point on the optical axis where the projection at-the maximum effective semi diameter of the image-side surface ends.
The present invention further provides an optical image capturing system, including a first lens, a second lens, a third lens, and a fourth lens, in order along an optical axis from an object side to an image side. The first lens has positive refractive power. The second lens has refractive power. The third lens has refractive power. The fourth lens has refractive power, and both the object-side surface and the image side surface of the fourth lens are aspheric surfaces. The optical image capturing system satisfies:

1.2≦f/HEP≦6.0; 0.5≦HOS/f≦3.0; 0<Σ|InRS|/InTL≦3; |TDT|<60%; and |ODT|≦50%;

where f is a focal length of the optical image capturing system; HEP is an entrance pupil diameter of the optical image capturing system; HOS is a distance in parallel with the optical axis between an object-side surface, which face the object side, of the first lens and the image plane; HAF is a half of the view angle of the optical image capturing system; TDT is a TV distortion; and ODT is an optical distortion; InTL is a distance between the object-side surface of the first lens the image-side surface of the fourth lens; and Σ|InRS| is of a sum of absolute values of the displacements for each lens with refractive power from a central point passed through by the optical axis to a point on the optical axis where the projection of the maximum effective semi diameter ends, i.e. Σ|InRS|=InRSO+InRSI while InRSO is a sum of absolute values of displacements for each lens with refractive power from the central point on the object-side surface passed through by the optical axis, to a point on the optical axis where a projection of the maximum effective semi diameter of the object-side surface ends, and InRSI is a sum of absolute values of displacements for each lens with refractive power from the central point on the image-side surface passed through by the optical axis to the point on the optical axis where the projection at the maximum effective semi diameter of the image-side surface ends.
The present invention further provides an optical image capturing system, including a first lens, a second lens, a third lens, and a fourth lens, in order along an optical axis from an object side to an image side. The first lens has positive refractive power, and both an object-side surface and an image side surface thereof are aspheric surfaces. The second lens has negative refractive power. The third lens has refractive power. The fourth lens has negative refractive power and at least an inflection point on at least a surface thereof. Both the object-side surface and the image side surface of the fourth lens are aspheric surfaces. The optical image capturing system satisfies:

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

where f is a focal length of the optical image capturing system; HEP is an entrance pupil diameter of the optical image capturing system; HOS is a distance in parallel with the optical axis between an object-side surface, which face the object side, of the first lens and the image plane; HAF is a half of the view angle of the optical image capturing system; TDT is a TV distortion; and ODT is an optical distortion; InTL is a distance between the object-side surface of the first lens and the image-side surface of the third lens; and Σ|InRS| is of an sum of absolute values of the displacements in parallel with the optical axis of each lens with refractive power from the central point to the point at the maximum effective semi diameter, i.e. Σ|InRS|=InRSO+InRSI while InRSO is a sum of absolute values of the displacements for each lens with refractive power from a central point passed through by the optical axis to a point on the optical axis where the projection of the maximum effective semi diameter ends, i.e. Σ|InRS|=InRSO+InRSI while InRSO is a sum of absolute values of the displacements for each lens with refractive power from the central point on the object-side surface passed through by the optical axis, to a point on the optical axis where a projection of the maximum effective semi diameter of the object-side surface ends, and InRSI is a sum of absolute values of the displacements for each lens with refractive power from the central point on the image-side surface passed through by the optical axis to the point on the optical axis where the projection at the maximum effective semi diameter of the image-side surface ends.
In an embodiment, the optical image capturing system further includes an image sensor with a size less than 1/1.2′′ in diagonal, a preferred size is 1/2.3′′, and a pixel less than 1.4 μm. A preferable pixel size of the image sensor is less than 1.12 μm, and more preferable pixel size is less than 0.9 μm. A 16:9 image sensor is available for the optical image capturing system of the present invention.
In an embodiment, the optical image capturing system of the present invention is available to a million or ten million pixels or higher recording (such as 4K and 2K, so called UHD and QHD), and provides high quality of image.
In an embodiment, a height of the optical image capturing system (HOS) can be reduced while |f1|>f4.
In an embodiment, when the lenses satisfy |f2|+|f3|>|f1|+|f4|, at least one of the second and the third lenses could have weak positive refractive power or weak negative refractive power. The weak refractive power means that the absolute value of the focal length of the lens is greater than 10. When at least one of the second lens and the third lens has weak positive refractive power, it may share the positive refractive power of the first lens, and on the contrary, when at least one of the second lens and the third lens has weak negative refractive power, it may finely modify the aberration of the system.
In an embodiment, the fourth lens could have negative refractive power, and an image-side surface thereof is concave, it may reduce back focal length and size. Besides, the fourth lens could have at least an inflection point on a surface thereof, which may reduce an incident angle of the light of an off-axis field of view and modify the aberration of the off-axis field of view. It is preferable that both surfaces of the fourth lens have at least an inflection point on a surface thereof.



BRIEF DESCRIPTION OF THE SEVERAL VIEWS OF THE DRAWINGS
The present invention will be best understood by referring to the following detailed description of some illustrative embodiments in conjunction with the accompanying drawings, in which
FIG. 1A is a schematic diagram of a first preferred embodiment of the present invention;
FIG. 1B shows curve diagrams of longitudinal spherical aberration, astigmatic field, and optical distortion of the optical image capturing system in the order from left to right of the first embodiment of the present application;
FIG. 1C shows a curve diagram of TV distortion of the optical image capturing system of the first embodiment of the present application;
FIG. 2A is a schematic diagram of a second preferred embodiment of the present invention;
FIG. 2B shows curve diagrams of longitudinal spherical aberration, astigmatic field, and optical distortion of the optical image capturing system in the order from left to right of the second embodiment of the present application;
FIG. 2C shows a curve diagram of TV distortion of the optical image capturing system of the second embodiment of the present application;
FIG. 3A is a schematic diagram of a third preferred embodiment of the present invention;
FIG. 3B shows curve diagrams of longitudinal spherical aberration, astigmatic field, and optical distortion of the optical image capturing system in the order from left to right of the third embodiment of the present application;
FIG. 3C shows a curve diagram of TV distortion of the optical image capturing system of the third embodiment of the present application;
FIG. 4A is a schematic diagram of a fourth preferred embodiment of the present invention;
FIG. 4B shows curve diagrams of longitudinal spherical aberration, astigmatic field, and optical distortion of the optical image capturing system in the order from left to right of the fourth embodiment of the present application;
FIG. 4C shows a curve diagram of TV distortion of the optical image capturing system of the fourth embodiment of the present application;
FIG. 5A is a schematic diagram of a fifth preferred embodiment of the present invention;
FIG. 5B shows curve diagrams of longitudinal spherical aberration, astigmatic field, and optical distortion of the optical image capturing system in the order from left to right of the fifth embodiment of the present application;
FIG. 5C shows a curve diagram of TV distortion of the optical image capturing system of the fifth embodiment of the present application;
FIG. 6A is a schematic diagram of a sixth preferred embodiment of the present invention;
FIG. 6B shows curve diagrams of longitudinal spherical aberration, astigmatic field, and optical distortion of the optical image capturing system in the order from left to right of the sixth embodiment of the present application;
FIG. 6C shows a curve diagram of TV distortion of the optical image capturing system of the sixth embodiment of the present application;
FIG. 7A is a schematic diagram of a seventh preferred embodiment of the present invention;
FIG. 7B shows curve diagrams of longitudinal spherical aberration, astigmatic field, and optical distortion of the optical image capturing system in the order from left to right of the seventh embodiment of the present application;
FIG. 7C shows a curve diagram of TV distortion of the optical image capturing system of the seventh embodiment of the present application;
FIG. 8A is a schematic diagram of an eighth preferred embodiment of the present invention;
FIG. 8B 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 eighth embodiment of the present application;
FIG. 8C shows a curve diagram of TV distortion of the optical image capturing system of the eighth embodiment of the present application;



DETAILED DESCRIPTION OF THE INVENTION
An optical image capturing system of the present invention includes a first lens, a second lens, a third lens, and a fourth lens, in order from an object side to an image side. The optical image capturing system further is provided with an image sensor at an image plane.
The optical image capturing system works in three wavelengths, including 486.1 nm, 587.5 nm, 555 nm, and 656.2 nm, wherein 587.5 nm is the main reference wavelength, and 555 nm is the reference wavelength for obtaining the technical characters.
The optical image capturing system of the present invention satisfies 0.5≦ΣPPR/|ΣNPR|≦4.5, and a preferable range is 1≦ΣPPR/|ΣNPR|≦4.0, where PPR is a ratio of the focal length f of the optical image capturing system to a focal length fp of each of lenses with positive refractive power; NPR is a ratio of the focal length f of the optical image capturing system to a focal length fn of each of lenses with negative refractive power; and ΣNPR is a sum of the PNRs of each negative lens. It is helpful to control of an entire refractive power and an entire length of the optical image capturing system.
HOS is a height of the optical image capturing system, and when the ratio of HOS/f approaches to 1, it is helpful for decrease of size and increase of imaging quality.
In an embodiment, the optical image capturing system of the present invention satisfies 0<ΣPP≦200 and f1/ΣPP≦0.85, and a preferable range is 0<ΣPP≦150 and 0.01≦f1/ΣPP≦0.6, where ΣPP is a sum of a focal length fp of each lens with positive refractive power, and ΣNP is a sum of a focal length fp of each lens with negative refractive power. It is helpful to control of focusing capacity of the system and redistribution of the positive refractive powers of the system to avoid the significant aberration in early time.
The first lens has positive refractive power, and an object-side surface, which faces the object side, thereof is convex. It may modify the positive refractive power of the first lens as well as shorten the entire length of the system.
The second lens has negative refractive power, which may correct the aberration of the first lens.
The third lens has positive refractive power. It may share the positive refractive power of the first lens.
The fourth lens has negative refractive power, and an image-side surface, which faces the image side, thereof is concave. It may shorten the back focal length to keep the system miniaturized. Besides, the fourth lens has at least an inflection point on at least a surface thereof to reduce the incident angle of the off-axis view angle light. Preferable, both the object-side surface and the image-side surface each has at least an inflection point.
The image sensor is provided on the image plane. The optical image capturing system of the present invention satisfies HOS/HOI≦3 and 0.5≦HOS/f≦3.0, and a preferable range is 1≦HOS/HOI≦2.5 and 1≦HOS/f≦2, where HOI is height for image formation of the optical image capturing system, i.e., the maximum image height, and HOS is a height of the optical image capturing system, i.e. a distance on the optical axis between the object-side surface of the first lens and the image plane. It is helpful to reduction of size of the system for used in compact cameras.
The optical image capturing system of the present invention further is provided with an aperture to increase image quality.
In the optical image capturing system of the present invention, the aperture could be a front aperture or a middle aperture, wherein the front aperture is provided between the object and the first lens, and the middle is provided between the first lens and the image plane. The front aperture provides a long distance between an exit pupil of the system and the image plane, which allows more elements to be installed. The middle could enlarge a view angle of view of the system and increase the efficiency of the image sensor. The optical image capturing system satisfies 0.5≦InS/HOS≦1.1, and a preferable range is 0.6≦InS/HOS≦1, where InS is a distance between the aperture and the image plane. It is helpful to size reduction and wide angle.
The optical image capturing system of the present invention satisfies 0.45≦ΣTP/InTL≦0.95, where InTL is a distance between the object-side surface of the first lens and the image-side surface of the fourth lens, and ΣTP is a sum of central thicknesses of the lenses on the optical axis. It is helpful to the contrast of image and yield rate of manufacture, and provides a suitable back focal length for installation of other elements.
The optical image capturing system of the present invention satisfies 0.1≦|R1/R2|≦0.5, and a preferable range is 0.1≦|R1/R2|≦0.45, 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 refractive power to reduce the increase rate of the spherical aberration.
The optical image capturing system of the present invention satisfies −200<(R7−R8)/(R7+R8)<30, where R7 is a radius of curvature of the object-side surface of the fourth lens, and R8 is a radius of curvature of the image-side surface of the fourth lens. It may modify the astigmatic field curvature.
The optical image capturing system of the present invention satisfies 0<IN12/f≦0.30, and a preferable range is 0.01≦IN12/f≦0.25, 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 1≦(TP1+IN12)/TP2≦10, where TP1 is a central thickness of the first lens on the optical axis, and TP2 is a central thickness of the second lens on the optical axis. It may control the sensitivity of manufacture of the system and improve the performance.
The optical image capturing system of the present invention satisfies 0.2≦(TP4+IN34)/TP4≦10, where TP4 is a central thickness of the fourth lens on the optical axis, and IN34 is a distance between the third lens and the fourth lens. It may control the sensitivity of manufacture of the system and improve the performance.
The optical image capturing system of the present invention satisfies 0.1≦(TP2−TP3)/ΣTP≦0.9, and a preferable range is 0.3≦(TP2−TP3)/ΣTP≦0.8, where TP2 is a central thickness of the second lens on the optical axis, TP3 a central thickness of the third lens on the optical axis, and ΣTP is a sum of the central thicknesses of all the lenses on the optical axis. It may finely modify the aberration of the incident rays and reduce the height of the system.
The optical image capturing system of the present invention satisfies 0 mm<|InRS11|+|InRS12|≦2 mm and 1.0≦(|InRS11|+TP1+|InRS12|)/TP1≦3, where InRS11 is a displacement from a point on the object-side surface of the first lens passed through by the optical axis, to a point on the optical axis where a projection of the maximum effective semi diameter of the object-side surface of the first lens ends, wherein InRS11 is positive while the displacement is toward the image side, and InRS11 is negative while the displacement is toward the object side; InRS12 is a displacement InRS11 is a displacement-from a point on the image-side surface of the first lens passed through by the optical axis, to a point on the optical axis where a projection of the maximum effective semi diameter of the image-side surface of the first lens ends; and TP1 is a central thickness of the first lens on the optical axis. It may control a ratio of the central thickness of the first lens and the effective semi diameter thickness (thickness ratio) to increase the yield rate of manufacture.
The optical image capturing system of the present invention satisfies 0 mm<|InRS21|+|InRS22|≦2 mm and 1.0≦(|InRS21|+TP2+|InRS22|)/TP2≦5, where InRS21 is a displacement from a point on the object-side surface of the second lens passed through by the optical axis to a point on the optical axis where a projection of the maximum effective semi diameter of the object-side surface of the second lens ends; InRS22 is a displacement from a point on the image-side surface of the second lens passed through by the optical axis to a point on the optical axis where a projection of-the maximum effective semi diameter of the image-side surface of the second lens ends; and TP2 is a central thickness of the second lens on the optical axis. It may control a ratio of the central thickness of the second lens and the effective semi diameter thickness (thickness ratio) to increase the yield rate of manufacture.
The optical image capturing system of the present invention satisfies 0 mm<|InRS31|+|InRS32|≦2 mm and 1.0≦(|InRS31|+TP3+|InRS32|)/TP3≦10, where InRS31 is a displacement-from a point on the object-side surface of the third lens passed through by the optical axis to a point on the optical axis where a projection of-the maximum effective semi diameter of the object-side surface of the third lens ends; InRS32 is a displacement-from a point on the image-side surface of the third lens passed through by the optical axis to a point on the optical axis where a projection of the maximum effective semi diameter of the image-side surface of the third lens ends; and TP2 is a central thickness of the third lens on the optical axis. It may control a ratio of the central thickness of the third lens and the effective semi diameter thickness (thickness ratio) to increase the yield rate of manufacture.
The optical image capturing system of the present invention satisfies 0 mm<|InRS41|+|InRS42|≦5 mm and 1.0≦(|InRS41|+TP4+|InRS42|)/TP4≦10, where InRS41 is a displacement from a point on the object-side surface of the fourth lens passed through by the optical axis to a point on the optical axis where a projection of-the maximum effective semi diameter of the object-side surface of the fourth lens ends; InRS42 is a displacement from a point on the image-side surface of the fourth lens passed through by the optical axis to a point on the optical axis where a projection of-the maximum effective semi diameter of the image-side surface of the fourth lens ends; and TP2 is a central thickness of the fourth lens on the optical axis. It may control a ratio of the central thickness of the fourth lens and the effective semi diameter thickness (thickness ratio) to increase the yield rate of manufacture.
The optical image capturing system of the present invention satisfies 0<Σ|InRS|≦15 mm, where InRSO is of a sum of absolute values of the displacements for each lens with refractive power from the central point on the object-side surface passed through by the optical axis to a point on the optical axis where a projection of the maximum effective semi diameter of the object-side surface ends, i.e. InRSO=|InRS11|+|InRS21|+|InRS31|+|InRS41|; InRSI is a sum of absolute values of the displacements for each lens with refractive power from the central point on the image-side surface passed through by the optical axis to the point on the optical axis where the projection the maximum effective semi diameter of the image-side surface ends, i.e. InRSI=|InRS12|+|InRS22|+|InRS32|+|InRS42|; and Σ|InRS| is of an sum of absolute values of the displacements in parallel with the optical axis of each lens with refractive power from the central point to the point at the maximum effective semi diameter, i.e. Σ|InRS|=InRSO+InRSI. It may efficiently increase the capability of modifying the off-axis view field aberration of the system.
The optical image capturing system of the present invention satisfies 0<Σ|InRS|/InTL≦3 and 0<Σ|InRS|/HOS≦2. It may reduce the total height of the system and efficiently increase the capability of modifying the off-axis view field aberration of the system.
The optical image capturing system of the present invention satisfies 0<|InRS31|+|InRS32|+|InRS41|+|InRS42|≦8 mm; 0<(|InRS3|+|InRS32|+|InRS41|+|InRS42|)/InTL≦3; and 0<(|InRS31|+|InRS32|+|InRS41|+|InRS42|)/HOS≦2. It may efficiently increase the capability of modifying the off-axis view field aberration of the system.
The optical image capturing system of the first preferred embodiment satisfies HVT31≧0 mm and HVT32≧0 mm, where HVT31 a distance perpendicular to the optical axis between the inflection point on the object-side surface of the third lens and the optical axis; and HVT32 a distance perpendicular to the optical axis between the inflection point on the image-side surface of the third lens and the optical axis. It may efficiently modify the aberration of the off-axis view field of the system.
The optical image capturing system of the first preferred embodiment satisfies HVT41≧0 mm and HVT42≧0 mm, where HVT41 a distance perpendicular to the optical axis between the inflection point on the object-side surface of the fourth lens and the optical axis; and HVT42 a distance perpendicular to the optical axis between the inflection point on the image-side surface of the fourth lens and the optical axis. It may efficiently modify the aberration of the off-axis view field of the system.
The optical image capturing system of the first preferred embodiment satisfies 0.2≦HVT42/HOI≦0.9, and a preferred range is 0.3≦HVT42/HOI≦0.8. It may efficiently modify the aberration of the peripheral view field of the system.
The optical image capturing system of the first preferred embodiment satisfies 0≦HVT42/HOS≦0.5, and preferred range is 0.2≦HVT42/HOS≦0.45. It may efficiently modify the aberration of the peripheral view field of the system.
In an embodiment, the lenses of high Abbe number and the lenses of low Abbe number are arranged in an interlaced arrangement that could be helpful to correction of aberration of the system.
An equation of aspheric surface is

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

where z is a depression of the aspheric surface; k is conic constant; c is reciprocal of radius of curvature; and A4, A6, A8, A10, A12, A14, A16, A18, and A20 are high-order aspheric coefficients.
In the optical image capturing system, the lenses could be made of plastic or glass. The plastic lenses may reduce the weight and lower the cost of the system, and the glass lenses may control the thermal effect and enlarge the space for arrangement of refractive power of the system. In addition, the opposite surfaces (object-side surface and image-side surface) of the first to the fourth lenses could be aspheric that can obtain more control parameters to reduce aberration. The number of aspheric glass lenses could be less than the conventional spherical glass lenses that is helpful to reduction of the height of the system.
When the lens has a convex surface, which means that the surface is convex around a position, through which the optical axis passes, and when the lens has a concave surface, which means that the surface is concave around a position, through which the optical axis passes.
The optical image capturing system of the present invention further is provided with a diaphragm to increase image quality.
The optical image capturing system of the present invention could be applied in dynamic focusing optical system. It is superior in correction of aberration and high imaging quality so that it could be allied in lots of fields.
We provide several embodiments in conjunction with the accompanying drawings for the best understanding, which are:
First Embodiment
As shown in FIG. 1A and FIG. 1B, an optical image capturing system 100 of the first preferred embodiment of the present invention includes, along an optical axis from an object side to an image side, an aperture 100, a first lens 110, a second lens 120, a third lens 130, a fourth lens 140, an infrared rays filter 170, an image plane 180, and an image sensor 190.
The first lens 110 has positive refractive power, and is made of plastic. An object-side surface 112 thereof, which faces the object side, is a convex aspheric surface, and an image-side surface 114 thereof, which faces the image side, is a concave aspheric surface. The object-side surface 112 and the image-side surface 114 each has an inflection point. The first lens 110 satisfies SGI11=0.0603484 mm; SGI121=0.000391938 mm; |SGI111|/(|SGI111|+TP1)=0.16844; and |SGI121|/(|SGI112|+TP1)=0.00131, 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 further satisfies HIF111=0.313265 mm; HIF121=0.0765851 mm; HIF111/HOI=0.30473; and HIF121/HOI=0.07450, 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. The object-side surface 122 and the image-side surface 124 each has an inflection point. The second lens 120 satisfies SGI211=0.000529396 mm; SGI221=0.0153878 mm; |SGI21|/(|SGI211|+TP2)=0.00293; and |SGI221|/(|SGI221|+TP2)=0.07876, where SGI211 is a displacement in parallel with the optical axis from a point on the object-side surface of the second lens, through which the optical axis passes, to the inflection point on the object-side surface, which is the closest to the optical axis; and SGI221 is a displacement in parallel with the optical axis from a point on the image-side surface of the second lens, through which the optical axis passes, to the inflection point on the image-side surface, which is the closest to the optical axis.
The second lens further satisfies HIF211=0.0724815 mm; HIF221=0.218624 mm; HIF211/HOI=0.07051; and HIF221/HOI=0.21267, where HIF211 is 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; and HIF221 is a displacement perpendicular to the optical axis from a point on the image-side surface of the second lens, through which the optical axis passes, to the inflection point, which is the closest to the optical axis.
The third lens 130 has positive refractive power, and is made of plastic. An object-side surface 132, which faces the object side, is a concave aspheric surface, and an image-side surface 134, which faces the image side, is a convex aspheric surface. The object-side surface 132 has two inflection points, and the image-side surface 134 has an inflection point. The third lens 130 satisfies SGI311=−0.00361837 mm; SGI321=−0.0872851 mm, and |SGI311|/(|SGI311|+TP3)=0.01971, and |SGI321|/(|SGI321|+TP3)=0.32656, 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=0.00031109 mm and |SGI312|/(|SGI312|+TP3)=0.00173, 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.
The third lens 130 further satisfies HIF311=0.128258 mm; HIF321=0.287637 mm; HIF311/HOI=0.12476; and HIF321/HOI=0.27980, where HIF311 is a distance perpendicular to the optical axis between the inflection point on the object-side surface of the third lens, which is the closest to the optical axis, and the optical axis, and HIF321 is a distance perpendicular to the optical axis between the inflection point on the image-side surface of the third lens, which is the closest to the optical axis, and the optical axis.
The third lens 130 further satisfies HIF312=0.374412 mm and HIF312/HOI=0.36421, 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.
The fourth lens 140 has negative refractive power, and is made of plastic. An object-side surface 142 thereof, which faces the object side, is a convex aspheric surface, and an image-side surface 144 thereof, which faces the image side, is a concave aspheric surface. The object-side surface 142 and the image-side surface 144 each has an inflection point. The fourth lens 140 satisfies SGI411=0.00982462 mm; SGI421=0.0484498 mm; |SGI411|/(|SGI411|+TP4)=0.02884; and |SGI421|/(|SGI421|+TP4)=0.21208, 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 SGI412=−0.0344954 mm; and |SGI412|/(|SGI412|+TP4)=0.09443, 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.
The fourth lens 140 further satisfies HIF411=0.15261 mm; HIF421=0.209604 mm; HIF411/HOI=0.14845; and HIF421/HOI=0.20389, where HIF411 is a displacement perpendicular to 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, which is the closest to the optical axis; and HIF421 is a displacement perpendicular to 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, which is the closest to the optical axis.
The fourth lens 140 further satisfies HIF412=0.602497 mm and HIF412/HOI=0.58609, HIF412 is a displacement perpendicular to 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, which is the second closest to the optical axis.
The infrared rays filter 170 is made of glass, and between the fourth lens 140 and the image plane 180. The infrared rays filter 170 gives no contribution to the focal length of the system.
The optical image capturing system of the first preferred embodiment has the following parameters, which are f=1.3295 mm; f/HEP=1.83; and HAF=37.5 degrees and tan(HAF)=0.7673, where f is a focal length of the system; HAF is a half of the maximum field angle; and HEP is an entrance pupil diameter.
The parameters of the lenses of the first preferred embodiment are f1=1.6074 mm; If/f1|0.8271; f4=−1.0098 mm; |f1|>f4; and |f1/f4|=1.5918, where f1 is a focal length of the first lens 110; and f4 is a focal length of the fourth lens 140.
The first preferred embodiment further satisfies |f2|+|f3|=4.0717 mm; |f1|+|f4|=2.6172 mm; and |f2|+|f3|>|f1|+|f4|, where f2 is a focal length of the second lens 120 and f3 is a focal length of the third lens 130.
The optical image capturing system of the first preferred embodiment further satisfies ΣPPR=f/f1+f/f3=2.4734; ΣNPR=f/f2+f/f4=−1.7239; ΣPPR/|ΣNPR|=1.4348; |f/f2|=0.4073; |f/f3|=1.6463; and |f/f4|=1.3166, where PPR is a ratio of a focal length f of the optical image capturing system to a focal length fp of each of the lenses with positive refractive power; and NPR is a ratio of a focal length f of the optical image capturing system to a focal length fn of each of lenses with negative refractive power.
The optical image capturing system of the first preferred embodiment further satisfies InTL+InB=HOS; HOS=1.8503 mm; HOI=1.0280 mm; HOS/HOI=1.7999; HOS/f=1.3917; InTL/HOS=0.6368; InS=1.7733 mm; and InS/HOS=0.9584, where InTL is a distance between the object-side surface 112 of the first lens 110 and the image-side surface 144 of the fourth lens 140; HOS is a height of the image capturing system, i.e. a distance between the object-side surface 112 of the first lens 110 and the image plane 180; InS is a distance between the aperture 100 and the image plane 180; HOI is height for image formation of the optical image capturing system, i.e., the maximum image height; and InB is a distance between the image-side surface 134 of the third lens 130 and the image plane 180.
The optical image capturing system of the first preferred embodiment further satisfies ΣTP=0.9887 mm and ΣTP/InTL=0.8392, where ΣTP is a sum of the thicknesses of the lenses 110-130 with refractive power. It is helpful to the contrast of image and yield rate of manufacture, and provides a suitable back focal length for installation of other elements.
The optical image capturing system of the first preferred embodiment further satisfies |R1/R2|=0.1252, 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 refractive power to reduce the increase rate of the spherical aberration.
The optical image capturing system of the first preferred embodiment further satisfies (R7−R8)/(R7+R8)=0.4810, where R7 is a radius of curvature of the object-side surface 142 of the fourth lens 140, and R8 is a radius of curvature of the image-side surface 144 of the fourth lens 140. It may modify the astigmatic field curvature.
The optical image capturing system of the first preferred embodiment further satisfies ΣPP=f1+f3=2.4150 mm and f1/(f1+f3)=0.6656, where ΣPP is a sum of the focal lengths fp of each lens with positive refractive power. It is helpful to share the positive refractive power of the first lens 110 to the other positive lenses to avoid the significant aberration caused by the incident rays.
The optical image capturing system of the first preferred embodiment further satisfies ΣNP=f2+f4=−4.2739 mm; and f4/(f2+f4)=0.7637, where f2 is a focal length of the second lens 120, f4 is a focal length of the fourth lens 140, and ΣNP is a sum of the focal lengths fp of each lens with negative refractive power. It may share the negative refractive power of the fourth lens to other negative lenses to avoid the significant aberration caused by the incident rays.
The optical image capturing system of the first preferred embodiment further satisfies IN12=0.0846 mm and IN12/f=0.0636, where IN12 is a distance on the optical axis between the first lens 110 and the second lens 120. It may correct chromatic aberration and improve the performance.
The optical image capturing system of the first preferred embodiment further satisfies TP1=0.2979 mm; TP2=0.1800 mm; and (TP1+IN12)/TP2=2.1251, where TP1 is a central thickness of the first lens 110 on the optical axis, and TP2 is a central thickness of the second lens 120 on the optical axis. It may control the sensitivity of manufacture of the system and improve the performance.
The optical image capturing system of the first preferred embodiment further satisfies TP3=0.3308 mm; TP4=0.1800 mm; and (TP4+IN34)/TP3=0.6197, where TP3 is a central thickness of the third lens 130 on the optical axis, TP4 is a central thickness of the fourth lens 140 on the optical axis, and IN34 is a distance on the optical axis between the third lens and the fourth lens. It may control the sensitivity of manufacture of the system and improve the performance.
The optical image capturing system of the first preferred embodiment further satisfies (TP2+TP3)/ΣTP=0.5166, where ΣTP is a sum of the central thicknesses of all the lenses with refractive power on the optical axis. It may finely modify the aberration of the incident rays and reduce the height of the system.
The optical image capturing system of the first preferred embodiment further satisfies |InRS11|=0.07696 mm; ∥nRS12|=0.03415 mm; TP1=0.29793 mm; and (|InRS11|+TP1+∥nRS12|)/TP1=1.3730, where InRS11 is a displacement in parallel with the optical axis from a point on the object-side surface 112 of the first lens, through which the optical axis passes, to a point at the maximum effective semi diameter of the object-side surface 112 of the first lens; InRS12 is a displacement in parallel with the optical axis from a point on the image-side surface 114 of the first lens, through which the optical axis passes, to a point at the maximum effective semi diameter of the image-side surface 114 of the first lens; and TP1 is a central thickness of the first lens 110 on the optical axis. It may control a ratio of the central thickness of the first lens 110 and the effective semi diameter thickness (thickness ratio) to increase the yield rate of manufacture.
The optical image capturing system of the first preferred embodiment further satisfies |InRS11|=0.07696 mm; |InRS12|=0.03415 mm; TP1=0.29793 mm; and (|InRS11|+TP1+|InRS12|)/TP1=1.3730, where InRS11 is a displacement from a point on the object-side surface 112 of the first lens passed through by the optical axis to a point on the optical axis where a projection of the maximum effective semi diameter of the object-side surface 112 of the first lens ends; InRS12 is a displacement from a point on the image-side surface 114 of the first lens passed through by the optical axis, to a point on the optical axis where a projection of the maximum effective semi diameter of the image-side surface 114 of the first lens ends; and TP1 is a central thickness of the first lens 110 on the optical axis. It may control a ratio of the central thickness of the first lens 110 and the effective semi diameter thickness (thickness ratio) to increase the yield rate of manufacture.
The optical image capturing system of the first preferred embodiment further satisfies |InRS21|=0.04442 mm; |InRS22|=0.02844 mm; TP2=0.1800 mm; and (|InRS21|+TP2+|InRS22|)/TP2=1.4048, where InRS21 is a displacement from a point on the object-side surface 122 of the second lens passed through by the optical axis, to a point on the optical axis where a projection of the maximum effective semi diameter of the object-side surface 122 of the second lens ends; InRS22 is a displacement in parallel with the optical axis from a point on the image-side surface 214 of the second lens, through which the optical axis passes, to a point at the maximum effective semi diameter of the image-side surface 214 of the second lens; and TP2 is a central thickness of the second lens 214 on the optical axis. It may control a ratio of the central thickness of the second lens 120 and the effective semi diameter thickness (thickness ratio) to increase the yield rate of manufacture.
The optical image capturing system of the first preferred embodiment further satisfies |InRS31|=0.00187 mm; |InRS32|=0.14522 mm; TP3=0.33081 mm; and (|InRS31|+TP3+|InRS32|)/TP3=1.4446, where InRS31 is a displacement from a point on the object-side surface 132 of the third lens passed through by the optical axis, to a point on the optical axis where a projection of the maximum effective semi diameter of the object-side surface 122 of the third lens ends; InRS32 is a displacement from a point on the image-side surface 134 of the third lens passed through by the optical axis, to a point on the optical axis where a projection of the maximum effective semi diameter of the image-side surface 134 of the third lens ends; and TP3 is a central thickness of the third lens 130 on the optical axis. It may control a ratio of the central thickness of the third lens 130 and the effective semi diameter thickness (thickness ratio) to increase the yield rate of manufacture.
The optical image capturing system of the first preferred embodiment further satisfies |InRS41|=0.03563 mm; |InRS42|=0.06429 mm; TP4=0.1800 mm; and (|InRS41|+TP4+|InRS42|)/TP4=1.5551, where InRS41 is a displacement from a point on the object-side surface 142 of the fourth lens passed through by the optical axis, to a point on the optical axis where a projection of the maximum effective semi diameter of the object-side surface 122 of the fourth lens ends; InRS42 is a displacement from a point on the image-side surface 144 of the fourth lens passed through by the optical axis, to a point on the optical axis where a projection of the maximum effective semi diameter of the image-side surface 144 of the fourth lens; and TP4 is a central thickness of the fourth lens 140 on the optical axis. It may control a ratio of the central thickness of the fourth lens 140 and the effective semi diameter thickness (thickness ratio) to increase the yield rate of manufacture.
The optical image capturing system of the first preferred embodiment further satisfies InRSO=0.15888 mm; InRSI=0.27211 mm; and Σ|InRS|=0.43099 mm, where Σ|InRS| is a sum of absolute values of a displacements-for each lens with refractive power from a central point passed through by the optical axis to a point on the optical axis where the projection of-the maximum effective semi diameter ends, i.e. Σ|InRS|=InRSO+InRSI while InRSO is a sum of absolute values of the displacements for each lens with refractive power from the central point on the object-side surface passed through by the optical axis, to a point on the optical axis where a projection of the maximum effective semi diameter of the object-side surface ends, and InRSI is a sum of absolute values of the displacements for each lens with refractive power from the central point on the image-side surface passed through by the optical axis to the point on the optical axis where the projection of the maximum effective semi diameter of the image-side surface ends, It is helpful to modify the off-axis view field aberration.
The optical image capturing system of the first preferred embodiment satisfies Σ|InRS|/InTL=0.36580 and Σ|InRS|/HOS=0.23293. It may reduce the total height of the system and modify the off-axis view field aberration.
The optical image capturing system of the first preferred embodiment satisfies |InRS31|+|InRS32|+|InRS41|+|InRS42|=0.43099 mm; (|InRS31|+|InRS32|+|InRS41|+|InRS42|)/InTL=0.20965; and (|InRS31|+|InRS32|+|InRS41|+|InRS42|)/HOS=0.13350. It may increase yield rate of manufacture of two of the lenses which are the first and the second closest to the image plane and modify the off-axis view field aberration.
The optical image capturing system of the first preferred embodiment satisfies HVT31=0.2386 mm and HVT32=0.4759 mm, where HVT31 a distance perpendicular to the optical axis between the inflection point C31 on the object-side surface 132 of the third lens and the optical axis; and HVT32 a distance perpendicular to the optical axis between the inflection point C32 on the image-side surface 134 of the third lens and the optical axis. It is helpful to modify the off-axis view field aberration.
The optical image capturing system of the first preferred embodiment satisfies HVT41=0.3200 mm; HVT42=0.5522 mm; and HVT41/HVT42=0.5795, where HVT41 a distance perpendicular to the optical axis between the inflection point C41 on the object-side surface 142 of the fourth lens and the optical axis; and HVT42 a distance perpendicular to the optical axis between the inflection point C42 on the image-side surface 144 of the fourth lens and the optical axis. It is helpful to modify the off-axis view field aberration.
The optical image capturing system of the first preferred embodiment satisfies HVT42/HOI=0.5372. It is helpful to correction of the aberration of the peripheral view field of the optical image capturing system.
The optical image capturing system of the first preferred embodiment satisfies HVT42/HOS=0.2985. It is helpful to correction of the aberration of the peripheral view field of the optical image capturing system.
The optical image capturing system of the first preferred embodiment satisfies 0<(|InRS22|+|InRS31|)/IN23=0.37938 and 0<(|InRS32|+|InRS41|)/IN34=7.23406. It is helpful to the capacity of adjusting the optical path difference of the system.
The second and the fourth lenses 120, 140 have negative refractive power. The optical image capturing system of the first preferred embodiment further satisfies |NA1-NA2|=33.6083; and NA4/NA2=2.496668953, where NA1 is an Abbe number of the first lens 110; NA2 is an Abbe number of the second lens 120; and NA4 is an Abbe number of the fourth lens 140. It may correct the aberration of the optical image capturing system.
The optical image capturing system of the first preferred embodiment further satisfies |TDT|=0.4353% and |ODT|=1.0353%, where TDT is TV distortion; and ODT is optical distortion.
The parameters of the lenses of the first embodiment are listed in Table 1 and Table 2.







TABLE 1







f = 1.3295 mm; f/HEP = 1.83; HAF = 37.5 deg; tan(HAF) = 0.7673














Radius of curvature
Thickness

Refractive
Abbe
Focal length


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

















0
Object
plane
600






1
1st lens/
0.78234
0.29793
plastic
1.544
56.06
1.607



Aperture


2

6.24733
0.08459


3
2nd lens
4.14538
0.18000
plastic
1.642
22.46
−3.264


4

1.37611
0.07989


5
3rd lens
−1.86793
0.33081
plastic
1.544
56.06
0.808


6

−0.37896
0.02500


7
4th lens
0.91216
0.18000
plastic
1.544
56.06
−1.010


8

0.31965
0.17206


9
Filter
plane
0.21
BK7_SCHOTT


10

plane
0.29


11
Image
plane



plane


12





Reference wavelength: 555 nm; Position of blocking light: blocking at the third surface with effective semi diameter of 0.36 mm.













TABLE 2





Coefficients of the aspheric surfaces



















Surface
1
2
3
4





k
 5.76611E−01
 0.00000E+00
 1.97452E+01
 7.33565E+00


A4
−5.51709E−01
−2.23956E+00
−3.78546E+00
−8.00950E−01


A6
 1.84419E+00
−2.09186E+00
−4.83803E+00
−1.41685E+01


A8
−5.57618E+01
−3.33312E+01
−1.43809E+02
 8.62437E+01


A10
 3.45594E+02
 3.76727E+02
 3.15322E+03
−3.68614E+02


A12
−1.49452E+03
−1.16899E+03
−1.72284E+04
 1.49654E+03


A14


 3.30750E+04
−4.00967E+03


A16


A18


A20





Surface
5
6
7
8





k
0.00000E+00
−2.09962E+00
−2.65841E+01
−5.02153E+00


A4
3.04031E+00
 1.53566E+00
−2.73583E+00
−2.12382E+00


A6
−7.06804E+00 
−5.62446E+00
 2.46306E+01
 1.01033E+01


A8
−1.72158E+01 
 1.96904E+01
−2.14097E+02
−4.02636E+01


A10
8.52740E+01
 1.00740E+02
 1.17330E+03
 1.06276E+02


A12
4.79654E+02
−2.01751E+02
−3.91183E+03
−1.77404E+02


A14
−5.54044E+03 
−9.63345E+02
 7.77524E+03
 1.78638E+02


A16
1.16419E+04
−5.33613E+00
−8.46792E+03
−1.05883E+02


A18
6.99649E+04
 6.97327E+03
 3.92598E+03
 3.92300E+01


A20
−3.30580E+05 
−4.71386E+03
−6.97617E+01
−1.03791E+01









The detail parameters of the first preferred embodiment are listed in Table 1, in which the unit of radius of curvature, thickness, and focal length are millimeter, and surface 0-14 indicates the surfaces of all elements in the system in sequence from the object side to the image side. Table 2 is the list of coefficients of the aspheric surfaces, in which A1-A20 indicate the coefficients of aspheric surfaces from the first order to the twentieth order of each aspheric surface. The following embodiments have the similar diagrams and tables, which are the same as those of the first embodiment, so we do not describe it again.
Second Embodiment
As shown in FIG. 2A and FIG. 2B, an optical image capturing system of the second preferred embodiment of the present invention includes, along an optical axis from an object side to an image side, an aperture 200, a first lens 210, a second lens 220, a third lens 230, a fourth lens 240 an infrared rays filter 270, an image plane 280, and an image sensor 290.
The first lens 210 has positive refractive power, and is made of plastic. An object-side surface 212 thereof, which faces the object side, is a convex aspheric surface, and an image-side surface 214 thereof, which faces the image side, is a concave aspheric surface. The object-side surface 212 and the image-side surface 214 each has an inflection point.
The second lens 220 has negative refractive power, and is made of plastic. An object-side surface 222 thereof, which faces the object side, is a convex aspheric surface, and an image-side surface 224 thereof, which faces the image side, is a concave aspheric surface. The object-side surface 222 and the image-side surface 224 each has two inflection points.
The third lens 230 has positive refractive power, and is made of plastic. An object-side surface 232, which faces the object side, is a concave aspheric surface, and an image-side surface 234, which faces the image side, is a convex aspheric surface. The object-side surface 232 and the image-side surface 234 each has two inflection points.
The fourth lens 240 has negative refractive power, and is made of plastic. An object-side surface 242 thereof, which faces the object side, is a convex aspheric surface, and an image-side surface 244 thereof, which faces the image side, is a concave aspheric surface. The object-side surface 242 has three inflection points and the image-side surface 244 has an inflection point.
The infrared rays filter 270 is made of glass, and between the fourth lens 240 and the image plane 280. The infrared rays filter 270 gives no contribution to the focal length of the system.
The optical image capturing system of the second preferred embodiment has the following parameters, which are |f2|+|f3|=25.6905 mm; |f1|+|f4|=6.8481 mm; and |f2|+|f3|>|f1|+|f4|, where f1-f4 are focal lengths of the first lens 210 to the fourth lens 240.
The optical image capturing system of the second preferred embodiment further satisfies TP3=0.3649 mm and TP4=0.3604 mm, where TP3 is a thickness of the third lens 230 on the optical axis, and TP4 is a thickness of the fourth lens 240 on the optical axis.
In the second embodiment, the first and the third lenses 210 and 230 are positive lenses, and their focal lengths are f1 and f3. The optical image capturing system of the second preferred embodiment further satisfies ΣPP=f1+f3=6.74730 mm and f1/(f1+f3)=0.53916, where ΣPP is a sum of the focal lengths of each positive lens. It is helpful to share the positive refractive power of the first lens 210 to the other positive lenses to avoid the significant aberration caused by the incident rays.
The optical image capturing system of the second preferred embodiment further satisfies ΣNP=f2+f4=−25.79133 mm and f4/(f2+f4)=0.12447, where f2 is a focal length of the second lens 220, f4 is a focal length of the fourth lens 240, and ΣNP is a sum of the focal lengths of each negative lens.
The parameters of the lenses of the second embodiment are listed in Table 3 and Table 4.







TABLE 3







f = 2.907 mm; f/HEP = 2.2; HAF = 37.8155 deg; tan(HAF) = 0.7761














Radius of curvature
Thickness

Refractive
Abbe
Focal length


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

















0
Object
plane
Infinity






1
Aperture
plane
−0.100


2
1st lens
1.403124
0.536
plastic
1.544
56.09
3.638


3

4.137263
0.227


4
2nd lens
2.092280
0.212
plastic
1.642
22.46
−22.581


5

1.757605
0.364


6
3rd lens
−2.526372
0.365
plastic
1.535
56.07
3.109


7

−1.055222
0.271


8
4th lens
1.598168
0.360
plastic
1.544
56.09
−3.210


9

0.769297
0.216


10
Filter
plane
0.2
BK7_SCHOTT
1.517
64.13


11

plane
0.700


12
Image
plane



plane





Reference wavelength: 555 nm













TABLE 4





Coefficients of the aspheric surfaces



















Sur-






face
2
3
4
5





k
−5.388442E+00
 0.000000E+00
 0.000000E+00
−1.912480E−01


A4
−5.186678E−03
 2.796407E−03
 4.866814E−02
 3.077886E−02


A6
−9.467022E−05
−4.430494E−04
−3.520942E−03
−3.652409E−04


A8
 0.000000E+00
 0.000000E+00
 3.813404E−04
 3.366222E−05


A10
 0.000000E+00
 0.000000E+00 
 0.000000E+00
 0.000000E+00





Sur-






face
6

7
8





k
 0.000000E+00
−8.176761E+00
 0
−4.838655853


A4
−2.354646E−02
 5.152363E−02
 2.345382E−01
 1.092968E−01


A6
−3.216896E−03
 4.849830E−03
 1.238701E−02
 7.059501E−03


A8
−1.006770E−04
 7.875824E−04
 2.084388E−03
−1.101666E−03


A10
 0.000000E+00 
 5.754884E−05
 5.445542E−04 
 2.688092E−04


A12


 −3.90951E+03
 −1.77622E+02


A14


  7.78461E+03
  1.77782E+02


A16


 −8.48455E+03
 −1.04877E+02


A18


  3.92598E+03
  3.92300E+01


A20


 −6.97617E+01
 −1.03791E+01









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)




















InRS11
InRS12
InRS21
InRS22
InRS31
InRS32


0.16609
−0.03430
0.03422
0.12918
−0.08593
−0.22551


InRS41
InRS42
InRSO
InRSI
Σ|InRS|



−0.19320
−0.18663
0.47944
0.57563
1.05507











Σ|InRS|/
Σ|InRS|/
(|InRS22| + |InRS31|)/IN23
(|InRS32| + |InRS41|)/IN34












InTL
HOS














0.45195
0.30582
0.5902
1.5475








(|InRS31| + |InRS32| + |InRS41| + |InRS42|)/
(|InRS31| + |InRS32| + |InRS41| + |InRS42|)/


InTL
HOS


0.29612
0.20037












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


0.79899
0.12872
0.93478
0.90542
0.16110
7.26213


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




NPR|





1.73377
1.03414
1.67652
6.74730
−25.79133
0.53916


f4/Σ NP
IN12/f
|InRS41|/TP 
|InRS42|/TP
|ODT|%
|TDT|%




4
4




0.12447
0.07801
0.53604
0.51783
1.00205
0.46421 %


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


2.33447
3.45000
1.52116
0.97101
0.67666
0.63085


HVT31
HVT32
HVT41
HVT42
HVT42/
HVT42/






HOI
HOS


0
0
0.48195
0.92297
0.40695
0.26753









The results of the equations of the third 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
0.64422
HIF111/HOI
0.28405
SGI111
0.14043
|SGI111|/(|SGI111| + TP1)
0.20771


HIF121
0.25843
HIF121/HOI
0.11394
SGI121
0.00672
|SGI121|/(|SGI121| + TP1)
0.01239


HIF211
0.26100
HIF211/HOI
0.11508
SGI211
0.01370
|SGI211|/(|SGI211| + TP2)
0.06076


HIF212
0.60108
HIF212/HOI
0.26502
SGI212
0.01578
|SGI212|/(|SGI212| + TP2)
0.06935


HIF221
0.36278
HIF221/HOI
0.15996
SGI221
0.03197
|SGI221|/(|SGI221| + TP2)
0.13118


HIF222
0.57683
HIF222/HOI
0.25433
SGI222
0.05863
|SGI222|/(|SGI222| + TP2)
0.21686


HIF311
0.41078
HIF311/HOI
0.18112
SGI311
−0.02672
|SGI311|/(|SGI311| + TP3)
0.06823


HIF312
0.74095
HIF312/HOI
0.32670
SGI312
−0.05257
|SGI312|/(|SGI312| + TP3)
0.12593


HIF321
0.54623
HIF321/HOI
0.24084
SGI321
−0.12920
|SGI321|/(|SGI321| + TP3)
0.26148


HIF322
0.92712
HIF322/HOI
0.40878
SGI322
−0.21561
|SGI322|/(|SGI322| + TP3)
0.37141


HIF411
0.24539
HIF411/HOI
0.10820
SGI411
0.01518
|SGI411|/(|SGI411| + TP4)
0.04041


HIF412
1.01297
HIF412/HOI
0.44664
SGI412
−0.07877
|SGI412|/(|SGI412| + TP4)
0.17935


HIF413
1.27392
HIF413/HOI
0.56169
SGI413
−0.15755
|SGI413|/(|SGI413| + TP4)
0.30417


HIF421
0.37980
HIF421/HOI
0.16746
SGI421
0.07091
|SGI421|/(|SGI421| + TP4)
0.16440









Third Embodiment
As shown in FIG. 3A and FIG. 3B, an optical image capturing system of the third preferred embodiment of the present invention includes, along an optical axis from an object side to an image side, an aperture 300, a first lens 310, a second lens 320, a third lens 330, an infrared rays filter 370, an image plane 380, and an image sensor 390.
The first lens 310 has positive refractive power, and is made of plastic. An object-side surface 312 thereof, which faces the object side, is a convex aspheric surface, and an image-side surface 314 thereof, which faces the image side, is a concave aspheric surface. The object-side surface 312 and the image-side surface 314 each has an inflection point.
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, which faces the object side, is a concave aspheric surface, and an image-side surface 334, 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 thereof, which faces the object side, is a convex aspheric surface, and an image-side surface 344 thereof, which faces the image side, is a concave aspheric surface. The object-side surface 342 has two inflection points and the image-side surface 344 has an inflection point.
The infrared rays filter 370 is made of glass, and between the fourth lens 340 and the image plane 380. The infrared rays filter 370 gives no contribution to the focal length of the system.
The parameters of the lenses of the third preferred embodiment are |f2|+|f3|=3.2561 mm; |f1|+|f4|=4.3895 mm; and |f2|+|f3|<|f1|+|f4|, where f1-f4 are focal lengths of the first lens 310 to the fourth lens 340 respectively.
The optical image capturing system of the third preferred embodiment further satisfies TP3=0.2115 mm and TP4=0.5131 mm, where TP3 is a thickness of the third lens 330 on the optical axis and TP4 is a thickness of the fourth lens 340 on the optical axis.
The optical image capturing system of the third preferred embodiment further satisfies ΣPP=244=6.3099 mm and f1/(f1+f2+f4)=0.3720, where ΣPP is a sum of the focal lengths of each positive lens. It is helpful to share the positive refractive power of the first lens 310 to the other positive lenses to avoid the significant aberration caused by the incident rays.
The optical image capturing system of the third preferred embodiment further satisfies ΣNP=f3=−1.3357 mm and f3/(f3)=1, where ΣNP is a sum of the focal lengths of each negative lens.
The parameters of the lenses of the third embodiment are listed in Table 5 and Table 6.







TABLE 5







f = 1.7488 mm; f/HEP = 1.82; HAF = 44.0009 deg; tan(HAF) = 0.8972














Radius of curvature
Thickness

Refractive
Abbe
Focal length


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

















0
Object
plane
600






1
1st lens/
1.10194
0.30074
plastic
1.53460
56.04928
2.34742



Aperture


2

7.99086
0.20524


3
2nd lens
−2.57494
0.40303
plastic
1.53460
56.04928
1.92038


4

−0.77590
0.11157


5
3rd lens
−0.33101
0.21155
plastic
1.64250
22.45544
−1.33567


6

−0.67089
0.06000


7
4th lens
0.58226
0.51306
plastic
1.53460
56.04928
2.04210


8

0.86075
0.20560


9
Filter
plane
0.21
BK7_SCHOTT
1.51680
64.13477
Infinity


10

plane
0.51922


11
Image
plane



plane


12





Reference wavelength: 555 nm; Position of blocking light: blocking at the second surface with effective semi diameter of 0.45 mm.













TABLE 6





Coefficients of the aspheric surfaces



















Surface
1
2
3
4





k
−4.11386E+00
 1.11609E+02
−1.20457E+01
−2.60894E+01


A4
 6.45604E−02
−2.79760E−01
−1.55566E+00
−2.78890E+00


A6
 9.37001E+00
−1.70772E+00
 2.22043E+01
−5.44108E+00


A8
−2.08371E+02
 3.44420E+00
−4.29093E+02
 2.44100E+02


A10
 2.45407E+03
−5.70037E+01
 4.72722E+03
−2.82690E+03


A12
−1.74873E+04
 3.13103E+02
−3.37154E+04
 1.77963E+04


A14
 7.67016E+04
−1.14091E+03
 1.53196E+05
−6.60567E+04


A16
−2.03736E+05
 2.44076E+03
−4.32864E+05
 1.44067E+05


A18
 2.99396E+05
−2.82699E+03
 6.99029E+05
−1.71204E+05


A20
−1.86602E+05
 1.34465E+03
−4.96564E+05
 8.55440E+04





Surface
5
6
7
8





k
−1.60828E+00
−3.02168E+00
−7.36240E+00
−1.32421E+00


A4
 4.87451E+00
−1.88477E+00
−4.73940E−01
−7.69448E−01


A6
−9.55485E+01
 1.08819E+01
 5.90018E−01
 1.03816E+00


A8
 9.54312E+02
−7.59696E+01
−1.09086E+00
−1.24944E+00


A10
−6.36131E+03
 4.43236E+02
 1.91543E+00
 1.15891E+00


A12
 2.99146E+04
−1.53273E+03
−2.14594E+00
−7.58232E−01


A14
−9.56348E+04
 3.13152E+03
 1.44027E+00
 3.27720E−01


A16
 1.94093E+05
−3.75205E+03
−5.57990E−01
−8.76837E−02


A18
−2.23641E+05 
 2.43713E+03
 1.14320E−01 
 1.29417E−02


A20
 1.10909E+05
−6.55460E+02
−9.18324E−03
−7.90229E−04









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)




















InRS11
InRS12
InRS21
InRS22
InRS31
InRS32


0.09255
−0.01411
−0.12423
−0.32720
−0.38369
−0.29644


InRS41
InRS42
InRSO
InRSI
Σ|InRS|



0.07620
0.09088
0.67668
0.72863
1.40530











Σ|InRS|/
Σ|InRS|/
(|InRS22| + |InRS31|)/IN23
(|InRS32| + |InRS41|)/IN34












InTL
HOS














0.77848
0.51288
6.3720
6.2106








(|InRS31| + |InRS32| + |InRS41| + |InRS42|)/
(|InRS31| + |InRS32| + |InRS41| + |InRS42|)/


InTL
HOS


0.46932
0.30920












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


0.74498
0.91064
1.30929
0.85636
1.22237
1.43777


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




NPR|





2.51199
1.30929
1.91859
1.01175
3.96248
2.32016


f4/Σ NP
IN12/f
|InRS41|/TP
|InRS42|/TP
|ODT|
|TDT|




4
4




0.51536
0.11736
0.14853
0.17714
2.83850
0.48954


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


1.80518
2.74000
1.52902
0.96622
0.65882
0.79126


HVT31
HVT32
HVT41
HVT42
HVT42/
HVT42/






HOI
HOS


0
0
0.72659
1.01863
0.56843
0.37176









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)






















HIF111
0.411587
HIF111/HOI
0.22968
SGI111
0.0745076
|SGI111|/(|SGI111| + TP1)
0.198555


HIF121
0.168654
HIF121/HOI
0.094115
SGI121
0.00153839
|SGI121|/(|SGI121| + TP1)
0.005089


HIF321
0.462067
HIF321/HOI
0.25785
SGI321
−0.169782
|SGI321|/(|SGI321| + TP3)
0.445238


HIF411
0.297038
HIF411/HOI
0.165758
SGI411
0.054283
|SGI411|/(|SGI411| + TP4)
0.09568


HIF412
1.02751
HIF412/HOI
0.573387
SGI412
0.0923963
|SGI412|/(|SGI412| + TP4)
0.152607


HIF421
0.448008
HIF421/HOI
0.250004
SGI421
0.089839
|SGI421|/(|SGI421| + TP4)
0.149013









Fourth Embodiment
As shown in FIG. 4A and FIG. 4B, an optical image capturing system of the fourth preferred embodiment of the present invention includes, along an optical axis from an object side to an image side, an aperture 400, a first lens 410, a second lens 420, a third lens 430, an infrared rays filter 470, an image plane 480, and an image sensor 490.
The first lens 410 has positive refractive power, and is made of plastic. An object-side surface 412 thereof, which faces the object side, is a convex aspheric surface, and an image-side surface 414 thereof, which faces the image side, is a concave aspheric surface. The object-side surface 412 and the image-side surface 414 each has an inflection point.
The second lens 420 has negative refractive power, and is made of plastic. Both an object-side surface 422 thereof, which faces the object side, and an image-side surface 424 thereof, which faces the image side, are concave aspheric surfaces. The object-side surface 422 has an inflection point, and image-side surface 424 has two inflection points.
The third lens 430 has positive refractive power, and is made of plastic. An object-side surface 432, which faces the object side, is a concave aspheric surface, and an image-side surface 434, which faces the image side, is a convex aspheric surface. The image-side surface 434 has two inflection points.
The fourth lens 440 has negative refractive power, and is made of plastic. An object-side surface 442 thereof, which faces the object side, is a convex aspheric surface, and an image-side surface 444 thereof, which faces the image side, is a concave aspheric surface. The object-side surface 442 has three inflection points, and the image-side surface 444 has an inflection point.
The infrared rays filter 470 is made of glass, and between the third lens 430 and the image plane 480. The infrared rays filter 470 gives no contribution to the focal length of the system.
The optical image capturing system of the fourth preferred embodiment has the following parameters, which are |f2|+|f3|=8.5238 mm; |f1|+|f4|=5.9332 mm; and |f2|+|f3|>|f1|+|f4|, where f1-f4 are focal lengths of the first lens 410 to the fourth lens 440.
The optical image capturing system of the fourth preferred embodiment further satisfies TP3=0.4343 mm and TP4=0.5162 mm, where TP3 is a thickness of the third lens 430 on the optical axis TP4 is a thickness of the fourth lens 440 on the optical axis.
In the fourth embodiment, the first and the third lenses 410 and 430 are positive lenses, and their focal lengths are f1 and f3. The optical image capturing system of the fourth preferred embodiment further satisfies ΣPP=f1+f3=5.3926 mm and f1/(f1+f3)=0.5559, where ΣPP is a sum of the focal lengths of each positive lens. It is helpful to share the positive refractive power of the first lens 410 to the other positive lenses to avoid the significant aberration caused by the incident rays.
The optical image capturing system of the fourth preferred embodiment further satisfies ΣNP=f2+f4=−9.0644 mm and f4/(f2+f4)=0.3239, where ΣNP is a sum of the focal lengths of each negative lens.
The parameters of the lenses of the fourth embodiment are listed in Table 7 and Table 8.







TABLE 7







f = 2.907 mm; f/HEP = 2.0; HAF = 37.8478 deg; tan(HAF) = 0.7770



















Focal



Radius of curvature
Thickness

Refractive
Abbe
length


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

















0
Object
plane
600






1
Aperture
plane
−0.160


2
1st lens
1.393956
0.577
plastic
1.535
56.05
2.998


3

8.037625
0.263


4
2nd lens
−6.060304
0.352
plastic
1.535
56.05
−6.129


5

11.765555
0.363


6
3rd lens
−2.615682
0.434
plastic
1.642
22.46
2.395


7

−0.922795
0.040


8
4th lens
1.845043
0.516
plastic
1.535
56.05
−2.936


9

0.772887
0.304


10
Filter
plane
0.220
BK7_SCHOTT
1.517
64.13


11

plane
0.680


12
Image
plane



plane





Reference wavelength: 555 nm.













TABLE 8





Coefficients of the aspheric surfaces



















Sur-






face
2
3
4
5





k
−8.491664E+00
 0.000000E+00 
 0.000000E+00
−1.778180E+01


A4
−9.920844E−03
−1.159925E−02 
 1.653352E−02
 1.854521E−02


A6
−3.908014E−04
 1.205443E−04 
−6.715671E−05
 6.372764E−04


A8
 0.000000E+00
 0.000000E+00
−2.592785E−05
 6.167943E−05


A10
 0.000000E+00
 0.000000E+00
 0.000000E+00
 0.000000E+00





Sur-






face
6
7
8
9





k
 0.000000E+00
−2.337516E+00
 0
−4.527210247


A4
−4.567353E−02
−1.822084E−03
 1.775702E−01
 1.386889E−01


A6
−6.564288E−03
−7.225941E−03
 1.155196E−02
−4.278950E−03


A8
−6.856907E−04
 1.693511E−03
−2.593519E−03 
−7.649578E−04


A10
 0.000000E+00
−2.950353E−04
 2.159258E−04
−1.971431E−03









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)




















InRS11
InRS12
InRS21
InRS22
InRS31
InRS32


0.19815
−0.08532
−0.16761
0.00449
−0.20572
−0.44418


InRS41
InRS42
InRSO
InRSI
Σ|InRS|



0.07254
0.13638
0.64402
0.67036
1.31438











Σ|InRS|/
Σ|InRS|/
(|InRS22| + |InRS31|)/IN23
(|InRS32| + |InRS41|)/IN34












InTL
HOS














0.51633
0.35050
0.5785
12.9577








(|InRS31| + |InRS32| + |InRS41| + |InRS42|)/
(|InRS31| + |InRS32| + |InRS41| + |InRS42|)/


InTL
HOS


0.33737
0.22902












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


0.96968
0.47426
1.21361
0.99011
0.48910
2.55893


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




NPR|





2.43405
1.21361
2.00563
5.39256
−9.06438
0.55586


f4/Σ NP
IN12/f
|InRS41|/TP4
|InRS42|/TP4
|ODT|%
|TDT|%


0.32387
0.09045
0.14052
0.26418
1.01611
0.59246


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


2.54562
3.75000
1.65344
0.95733
0.67883
0.73830


HVT31
HVT32
HVT41
HVT42
HVT42/
HVT42/






HOI
HOS


0
0
0.00000
1.27198
0.56084
0.33919









The results of the equations of the third 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
0.4116
HIF111/HOI
0.1815
SGI111
0.0745
|SGI111|/(|SGI111| + TP1)
0.1144


HIF121
0.1687
HIF121/HOI
0.0744
SGI121
0.0015
|SGI121|/(|SGI121| + TP1)
0.0027


HIF321
0.4621
HIF321/HOI
0.2037
SGI321
−0.1698
|SGI321|/(|SGI321| + TP3)
0.2811


HIF411
0.2970
HIF411/HOI
0.1310
SGI411
0.0543
|SGI411|/(|SGI411| + TP4)
0.0951


HIF412
1.0275
HIF412/HOI
0.4530
SGI412
0.0924
|SGI412|/(|SGI412| + TP4)
0.1518


HIF421
0.4480
HIF421/HOI
0.1975
SGI421
0.0898
|SGI421|/(|SGI421| + TP4)
0.1482









Fifth Embodiment
As shown in FIG. 5A and FIG. 5B, an optical image capturing system of the fifth preferred embodiment of the present invention includes, along an optical axis from an object side to an image side, an aperture 500, a first lens 510, a second lens 520, a third lens 530, an infrared rays filter 570, an image plane 580, and an image sensor 590.
The first lens 510 has positive refractive power, and is made of plastic. An object-side surface 512, 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 and the image-side surface 514 each 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 concave aspheric surface, and an image-side surface 524 thereof, which faces the image side, is a convex aspheric surface.
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 image-side surface 534 has an inflection point.
The fourth lens 540 has positive refractive power, and is made of plastic. An object-side surface 542, which faces the object side, is a convex aspheric surface, and an image-side surface 544, which faces the image side, is a concave aspheric surface. The object-side surface 542 has two inflection points, and the image-side surface 544 has an inflection point.
The infrared rays filter 570 is made of glass, and between the fourth lens 540 and the image plane 580. The infrared rays filter 570 gives no contribution to the focal length of the system.
The parameters of the lenses of the fifth preferred embodiment are |f2|+|f3|=7.6703 mm; |f1|+|f4|=7.7843 mm; and |f2|+|f3|<|f1|+|f4|, where f1-f4 are focal lengths of the first lens 510 to the fourth lens 540.
The optical image capturing system of the fifth preferred embodiment further satisfies TP3=0.3996 mm and TP4=0.9713 mm, where TP3 is a thickness of the third lens 530 on the optical axis and TP4 is a thickness of the fourth lens 540 on the optical axis.
The optical image capturing system of the fifth preferred embodiment further satisfies ΣPP=f1+f2+f4=13.1419 mm and f1/(f1+f2+f4)=0.2525, where ΣPP is a sum of the focal lengths of each positive lens. It is helpful to share the positive refractive power of the first lens 510 to the other positive lenses to avoid the significant aberration caused by the incident rays.
The optical image capturing system of the fifth preferred embodiment further satisfies ΣNP=f3=−2.3127 mm and f3/(f3)=1, where ΣNP is a sum of the focal lengths of each negative lens.
The parameters of the lenses of the fifth embodiment are listed in Table 9 and Table 10.







TABLE 9







f = 3.4320 mm; f/HEP = 2.28; HAF = 39.5498 deg; tan(HAF) = 0.8258














Radius of curvature
Thickness

Refractive
Abbe
Focal length


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

















0
Object
plane
600






1
1st lens/
1.50982
0.61808
plastic
1.53460
56.04928
3.31779



Aperture


2

8.53969
0.32873


3
2nd lens
−6.01490
0.35414
plastic
1.53460
56.04928
5.35759


4

−1.98450
0.11553


5
3rd lens
−1.05901
0.39958
plastic
1.64250
22.45544
−2.31270


6

−4.15119
0.20863


7
4th lens
1.15231
0.97132
plastic
1.53460
56.04928
4.46650


8

1.56696
0.17398


9
Filter
plane
0.61
BK_7
1.51680
64.13477


10

plane
0.67


11
Image
plane



plane


12





Reference wavelength: 555 nm; Position of blocking light: blocking at the third surface with effective semi diameter of 0.72 mm













TABLE 10





Coefficients of the aspheric surfaces



















Surface
1
2
3
4





k
 1.91608E+00
−9.90000E+01
 3.12661E+01
−7.96538E+00


A4
−1.04983E−01
−7.00916E−02
−1.45169E−01
−4.53803E−01


A6
 5.81412E−01
 1.32838E−01
 6.30379E−01
 1.53028E+00


A8
−6.71811E+00
−9.11601E−01
−1.13291E+01
−1.23692E+01


A10
 3.53193E+01
 7.64045E−01
 6.80561E+01
 4.61028E+01


A12
−1.10122E+02
 3.05178E+00
−2.37992E+02
−9.64720E+01


A14
 2.06492E+02
−9.34726E+00
 4.98312E+02
 1.17099E+02


A16
−2.29728E+02
 8.04581E+00
−6.30979E+02
−7.95639E+01


A18
 1.38592E+02
−1.22151E+00
 4.48459E+02
 2.63131E+01


A20
−3.50697E+01
 1.40638E−01
−1.38023E+02
−3.19378E+00





Surface
5
6
7
8





k
−8.30362E−01
−6.96585E+00
−1.18798E+01
−7.01760E−01


A4
−5.41253E−01
−1.20350E+00
−4.13567E−01
−2.64281E−01


A6
 2.79171E+00
 3.66683E+00
 2.54369E−01
 1.37894E−01


A8
−1.51326E+01
−8.89633E+00
−2.66026E−03
−6.37186E−02


A10
 5.13829E+01
 1.65534E+01
−1.50320E−01
 2.24580E−02


A12
−9.52092E+01
−2.06411E+01
 1.19574E−01
−6.02309E−03


A14
 9.23444E+01
 1.65593E+01
−4.20365E−02
 1.12736E−03


A16
−3.38893E+01
−8.18699E+00
 7.84666E−03
−1.32311E−04


A18
−1.04010E+01
 2.27325E+00 
−7.49829E−04
 8.32178E−06


A20
 8.37135E+00 
−2.71850E−01
 2.89993E−05
−2.16110E−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)




















InRS11
InRS12
InRS21
InRS22
InRS31
InRS32


0.19256
−0.01037
−0.14846
−0.33742
−0.36837
−0.25666


InRS41
InRS42
InRSO
InRSI
Σ|InRS|



−0.19362
−0.25529
0.90301
0.85974
1.76275











Σ|InRS|/
Σ|InRS|/
(|InRS22| + |InRS31|)/IN23
(|InRS32| + |InRS41|)/IN34












InTL
HOS














0.58836
0.39612
6.1091
2.1582








(|InRS31| + |InRS32| + |InRS41| + |InRS42|)/
(|InRS31| + |InRS32| + |InRS41| + |InRS42|)/


InTL
HOS


0.35846
0.24134












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


1.03444
0.64059
1.48400
0.76840
0.61927
2.31660


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




NPR|





2.44343
1.48400
1.64652
1.00509
9.82409
3.30099


f4/Σ NP
IN12/f
|InRS41|/TP
|InRS42|/TP
|ODT|%
|TDT|




4
4




0.45465
0.09578
0.19933
0.26283
2.01839
1.61834


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


2.99601
4.44999
1.55812
0.95673
0.67326
0.78208


HVT31
HVT32
HVT41
HVT42
HVT42/
HVT42/






HOI
HOS


0
1.0084
0.61419
1.21734
0.42624
0.27356









The results of the equations of the third 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
0.743164
HIF111/HOI
0.260211
SGI111
0.185672
|SGI111|/(|SGI111| + TP1)
0.231007


HIF121
0.328417
HIF121/HOI
0.114992
SGI121
0.00534389
|SGI121|/(|SGI121| + TP1)
0.008572


HIF321
0.701963
HIF321/HOI
0.245785
SGI321
−0.157581
|SGI321|/(|SGI321| + TP3)
0.282827


HIF411
0.298172
HIF411/HOI
0.104402
SGI411
0.0302412
|SGI411|/(|SGI411| + TP4)
0.030194


HIF412
1.21277
HIF412/HOI
0.424639
SGI412
−0.122048
|SGI412|/(|SGI412| + TP4)
0.111625


HIF421
0.557226
HIF421/HOI
0.195107
SGI421
0.0781453
|SGI421|/(|SGI421| + TP4)
0.074462









Sixth Embodiment
As shown in FIG. 6A and FIG. 6B, an optical image capturing system of the sixth preferred embodiment of the present invention includes, along an optical axis from an object side to an image side, an aperture 600, a first lens 610, a second lens 620, a third lens 630, an infrared rays filter 670, an image plane 680, and an image sensor 690.
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 each has 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 each has two inflection points.
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 concave aspheric surface, and an image-side surface 634, which faces the image side, is a convex aspheric surface. The image-side surface 634 has two inflection points.
The fourth lens 640 has negative refractive power, and is made of plastic. An object-side surface 642 thereof, which faces the object side, is a convex aspheric surface, and an image-side surface 644 thereof, which faces the image side, is a concave aspheric surface. The object-side surface 642 has three inflection points, and the image-side surface 644 has an inflection point.
The infrared rays filter 670 is made of glass, and between the fourth lens 640 and the image plane 680. The infrared rays filter 670 gives no contribution to the focal length of the system.
The parameters of the lenses of the sixth preferred embodiment are |f2|+|f3|=9.7798 mm; |f1|+|f4|=6.0849 mm; and |f2|+|f3|>|f1|+|f4|, where f1-f4 are focal lengths of the first lens 610 to the fourth lens 640.
The optical image capturing system of the sixth preferred embodiment further satisfies TP3=0.6760 mm and TP4=0.4981 mm, where TP3 is a thickness of the third lens 630 on the optical axis and TP4 is a thickness of the fourth lens 640 on the optical axis.
The optical image capturing system of the sixth preferred embodiment further satisfies ΣPP=f1+f3=5.4653 mm and f1/(f1+f3)=0.5723, 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 610 to the other positive lenses to avoid the significant aberration caused by the incident rays.
The optical image capturing system of the sixth preferred embodiment further satisfies ΣNP=f2+f4=−10.3994 mm and f4/(f2+f4)=0.2844, where ΣNP is a sum of the focal lengths of each negative lens.
The parameters of the lenses of the sixth embodiment are listed in Table 11 and Table 12.







TABLE 11







f = 2.907 mm; f/HEP = 1.8; HAF = 37.8027 deg; tan(HAF) = 0.7758














Radius of curvature
Thickness

Refractive
Abbe
Focal length


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

















0
Object
plane
600






1
Aperture
plane
−0.140


2
1st lens
1.476081
0.676
plastic
1.544
56.09
3.128


3

9.139570
0.211


4
2nd lens
5.686718
0.218
plastic
1.642
22.46
−7.442


5

2.569368
0.329


6
3rd lens
−2.472720
0.676
plastic
1.544
56.09
2.338


7

−0.922975
0.027


8
4th lens
1.790752
0.498
plastic
1.544
56.09
−2.957


9

0.765584
0.316


10
Filter
plane
0.220
BK_7
1.517
64.13


11

plane
0.680


12
Image
plane



plane





Reference wavelength: 555 nm; Position of blocking light: blocking at the third surface with optical diameter of 0.860 mm.













TABLE 12





Coefficients of the aspheric surfaces



















Sur-






face
2
3
4
5





k
−4.294344E+00
 0.000000E+00
 0.000000E+00 
 4.201548E+00


A4
 1.285533E−01
−1.748593E−01
−3.502257E−01
−1.663531E−01


A6
 2.220165E−02
−1.900763E−01
−6.712673E−01
−4.507822E−01


A8
−3.977141E−01
 2.167525E−01
 1.442109E+00
 9.131616E−01


A10
 6.628288E−01
−1.574956E−01
−9.768362E−02
 2.023710E−01


A12
−5.166019E−01
 2.474940E−02
−1.213710E+00
−1.266380E+00


A14
 0.000000E+00
 0.000000E+00
 7.411765E−01 
 7.475206E−01


A16
 0.000000E+00
 0.000000E+00
 0.000000E+00 
 0.000000E+00


A18
 0.000000E+00
 0.000000E+00
 0.000000E+00
 0.000000E+00


A20
 0.000000E+00 
 0.000000E+00
 0.000000E+00
 0.000000E+00





Sur-






face
6
7
8
9





k
 0.000000E+00
−1.653491E+00
 0
−3.972093136


A4
 2.600929E−01
 3.106971E−02
−5.852337E−01
−3.205328E−01


A6
−6.138616E−01 
 1.157890E−01
 7.580762E−01
 4.478389E−01


A8
 1.049916E+00
−5.261652E−01
−8.940737E−01
−4.819860E−01


A10
−1.684801E+00
 1.082951E+00
 7.461471E−01
 3.523756E−01


A12
 1.840371E+00
−1.555155E+00 
−3.918453E−01
−1.728184E−01


A14
−8.459899E−01
 1.580186E+00
 1.219895E−01
 5.601946E−02


A16
 0.000000E+00
−9.172569E−01
−2.050533E−02
−1.152475E−02


A18
 0.000000E+00
 2.442477E−01
 1.417580E−03
 1.364196E−03


A20
 0.000000E+00
−1.872982E−02 
 0.000000E+00
−7.087098E−05









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 11 and Table 12 are listed in the following table:










Sixth embodiment (Reference wavelength: 555 nm)




















InRS11
InRS12
InRS21
InRS22
InRS31
InRS32


0.21136
−0.09794
−0.09650
0.11752
−0.15151
−0.51178


InRS41
InRS42
InRSO
InRSI
Σ|InRS|



−0.01203
0.05789
0.47141
0.78513
1.25654











Σ|InRS|/
Σ|InRS|/
(|InRS22| + |InRS31|)/IN23
(|InRS32| + |InRS41|)/IN34












InTL
HOS














0.47700
0.32637
0.8179
19.7393








(|InRS31| + |InRS32| + |InRS41| + |InRS42|)/
(|InRS31| + |InRS32| + |InRS41| + |InRS42|)/


InTL
HOS


0.27834
0.19045












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


0.92936
0.39057
1.24335
0.98287
0.42025
3.18343


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




NPR|





2.30279
1.24335
1.85210
5.46531
−10.39936
0.57226


f4/Σ NP
IN12/f
|InRS41|/TP
|InRS42|/TP
|ODT|%
|TDT|%




4
4




0.28437
0.07251
0.02416
0.11621
1.04389
0.49672


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


2.63423
3.85000
1.69753
0.96364
0.68422
0.78506


HVT31
HVT32
HVT41
HVT42
HVT42/
HVT42/






HOI
HOS


0
0
0.74242
1.22950
0.54211
0.31935









The results of the equations of the third 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
0.7117
HIF111/HOI
0.3138
SGI111
0.1704
|SGI111|/(|SGI111| + TP1)
0.2014


HIF121
0.2163
HIF121/HOI
0.0954
SGI121
0.0022
|SGI121|/(|SGI121| + TP1)
0.0032


HIF211
0.1910
HIF211/HOI
0.0842
SGI211
0.0027
|SGI211|/(|SGI211| + TP2)
0.0123


HIF212
0.7352
HIF212/HOI
0.3242
SGI212
−0.0623
|SGI212|/(|SGI212| + TP2)
0.2220


HIF221
0.4114
HIF221/HOI
0.1814
SGI221
0.0279
|SGI221|/(|SGI221| + TP2)
0.1134


HIF222
0.5533
HIF222/HOI
0.2440
SGI222
0.0429
|SGI222|/(|SGI222| + TP2)
0.1642


HIF321
0.8491
HIF321/HOI
0.3744
SGI321
−0.3327
|SGI321|/(|SGI321| + TP3)
0.3298


HIF322
1.0959
HIF322/HOI
0.4832
SGI322
−0.4780
|SGI322|/(|SGI322| + TP3)
0.4142


HIF411
0.3475
HIF411/HOI
0.1532
SGI411
0.0267
|SGI411|/(|SGI411| + TP4)
0.0508


HIF412
1.0943
HIF412/HOI
0.4825
SGI412
0.0304
|SGI412|/(|SGI412| + TP4)
0.0575


HIF413
1.4660
HIF413/HOI
0.6464
SGI413
−0.0026
|SGI413|/(|SGI413| + TP4)
0.0052


HIF421
0.4713
HIF421/HOI
0.2078
SGI421
0.1061
|SGI421|/(|SGI421| + TP4)
0.1756









Seventh Embodiment
As shown in FIG. 7A and FIG. 7B, an optical image capturing system of the seventh preferred embodiment of the present invention includes, along an optical axis from an object side to an image side, an aperture 700, a first lens 710, a second lens 720, a third lens 730, an infrared rays filter 770, an image plane 780, and an image sensor 790.
The first lens 710 has positive refractive power, and is made of plastic. Both an object-side surface 712, which faces the object side, and an image-side surface 714, which faces the image side, are convex aspheric surfaces. The object-side surface 712 has an inflection point.
The second lens 720 has positive refractive power, and is made of plastic. An object-side surface 722 thereof, which faces the object side, is a concave aspheric surface, and an image-side surface 724 thereof, which faces the image side, is a convex aspheric surface.
The third lens 730 has negative refractive power, and is made of plastic. An object-side surface 732, which faces the object side, is a concave aspheric surface, and an image-side surface 734, which faces the image side, is a convex aspheric surface. The object-side surface 732 has two inflection points, and the image-side surface 734 has an inflection point.
The fourth lens 740 has positive refractive power, and is made of plastic. An object-side surface 742, which faces the object side, is a convex aspheric surface, and an image-side surface 744, which faces the image side, is a concave aspheric surface. The object-side surface 742 and the image-side surface 744 each has an inflection point.
The infrared rays filter 770 is made of glass, and between the fourth lens 740 and the image plane 780. The infrared rays filter 770 gives no contribution to the focal length of the system.
The parameters of the lenses of the seventh preferred embodiment are |f2|+|f3|=6.3879 mm; |f1|+|f4|=7.3017 mm; and |f2|+|f3|<|f1|+|f4|, where f1-f4 are focal lengths of the first lens 710 to the fourth lens 740.
The optical image capturing system of the seventh preferred embodiment further satisfies TP3=0.342 mm and TP4=0.876 mm, where TP3 is a thickness of the third lens 730 on the optical axis and TP4 is a thickness of the fourth lens 740 on the optical axis.
The optical image capturing system of the seventh preferred embodiment further satisfies ΣPP=f142+f4=10.9940 mm and f1/(f1+f2+f4)=0.2801, 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 710 to the other positive lenses to avoid the significant aberration caused by the incident rays.
The optical image capturing system of the seventh preferred embodiment further satisfies ΣNP=f3=−2.6956 mm and f3/(f3)=1, where ΣNP is a sum of the focal lengths of each negative lens.
The parameters of the lenses of the seventh embodiment are listed in Table 13 and Table 14.







TABLE 13







f = 2.6019 mm; f/HEP = 1.600; HAF = 40.700 deg; tan(HAF) = 0.8601














Radius of curvature
Thickness

Refractive
Abbe
Focal length


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

















0
Object
plane
600






1
1st lens/
1.71292
0.38171
plastic
1.54410
56.06368
3.07935



Aperture


2

−82.93521
0.06127


3
Light
plane
0.32214



shade film


4
2nd lens
−2.99453
0.55905
plastic
1.54410
56.06368
3.69227


7

−1.28410
0.18224


6
3rd lens
−0.49647
0.34177
plastic
1.64250
22.45544
−2.69561


7

−0.88152
0.03097


8
4th lens
1.05292
0.87625
plastic
1.53460
56.04928
4.22234


9

1.39616
0.40577


10
Filter
plane
0.21
BK_7
1.51680
64.13477


11

plane
0.51339


12
Image
plane



plane





Reference wavelength: 555 nm; Position of blocking light: blocking at the third surface with effective semi diameter of 0.675 mm













TABLE 14





Coefficients of the aspheric surfaces



















Surface
1
2
4
5





k
−8.09736E−01
 9.90000E+01
 1.38546E+01
−4.78421E+00


A4
 3.11337E−04
−1.47267E−01
−2.45721E−01
−2.55177E−01


A6
−4.23221E−01
 2.05335E−01
 1.11283E+00
−1.35694E+00


A8
 1.99682E+00
−2.29326E+00
−7.97159E+00
 5.61291E+00


A10
−8.98568E+00
 6.67714E+00
 2.67059E+01
−1.27982E+01


A12
 2.55814E+01
−1.26431E+01
−4.89500E+01
 1.83626E+01


A14
−4.56047E+01
 1.25240E+01
 4.32986E+01
−1.54412E+01


A16
 3.35356E+01
−4.95913E+00
−1.11707E+01
 5.47973E+00





Surface
6
7
8
9





k
−3.91527E+00
−1.53405E+00
−1.19640E+01
−5.30860E+00


A4
−1.04737E+00
−8.42553E−02
−3.47164E−02
−5.45854E−02


A6
 1.91291E+00
 1.14144E−01
−1.11575E−01
−3.54359E−03


A8
−1.03818E+00
 4.85341E−01
 1.55890E−01
 1.43811E−02


A10
 8.28666E−02
−5.78511E−01
−1.02888E−01
−8.50527E−03


A12
−7.20630E−01
 1.37111E−01
 3.67156E−02
 2.28063E−03


A14
 8.84894E−01
 8.58529E−02
−6.09560E−03
−2.76813E−04


A16
−3.65905E−01
−3.73888E−02
 1.92810E−04
 9.06057E−06









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










Seventh embodiment (Reference wavelength: 555 nm)




















InRS11
InRS12
InRS21
InRS22
InRS31
InRS32


0.10245
−0.04085
−0.18437
−0.44347
−0.51083
−0.37921


InRS41
InRS42
InRSO
InRSI
Σ|InRS|



0.11772
0.04936
0.91538
0.91289
1.82827











Σ|InRS|/
Σ|InRS|/
(|InRS22| + |InRS31|)/IN23
(|InRS32| + |InRS41|)/IN34












InTL
HOS














0.66352
0.47065
5.2365
16.0459








(|InRS31| + |InRS32| + |InRS41| + |InRS42|)/
(|InRS31| + |InRS32| + |InRS41| + |InRS42|)/


InTL
HOS


0.38366
0.27214












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


0.84495
0.70469
0.96524
0.61622
0.83400
1.36973


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




NPR|





2.16586
0.96524
2.24387
0.38374
7.91461
8.02457


f4/Σ NP
IN12/f
|InRS41|/TP 
|InRS42|/TP
|ODT|%
|TDT|%




4
4




0.53349
0.14736
0.13435
0.05633
2.57432
0.27626


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


2.75540
3.88456
1.68894
0.97363
0.70932
0.78347


HVT31
HVT32
HVT41
HVT42
HVT42/
HVT42/






HOI
HOS


0
0
1.11330
1.39937
0.60842
0.36024









The results of the equations of the third embodiment based on Table 13 and Table 14 are listed in the following table:










Values related to the inflection points of the seventh embodiment


(Reference wavelength: 555 nm)






















HIF111
0.527327
HIF111/HOI
0.229273
SGI111
0.0766251
|SGI111|/(|SGI111| + TP1)
0.167182


HIF311
0.627538
HIF311/HOI
0.272843
SGI311
−0.30616
|SGI311|/(|SGI311| + TP3)
0.472518


HIF312
0.708595
HIF312/HOI
0.308085
SGI312
−0.369446
|SGI312|/(|SGI312| + TP3)
0.519455


HIF321
0.63295
HIF321/HOI
0.275196
SGI321
−0.212404
|SGI321|/(|SGI321| + TP3)
0.383278


HIF411
0.461586
HIF411/HOI
0.20069
SGI411
0.0708689
|SGI411|/(|SGI411| + TP4)
0.074826


HIF421
0.658593
HIF421/HOI
0.286345
SGI421
0.119304
|SGI421|/(|SGI421| + TP4)
0.119837









Eighth Embodiment
As shown in FIG. 8A and FIG. 8B, an optical image capturing system of the eighth preferred embodiment of the present invention includes, along an optical axis from an object side to an image side, an aperture 800, a first lens 810, a second lens 820, a third lens 830, an infrared rays filter 870, an image plane 880, and an image sensor 890.
The first lens 810 has positive refractive power, and is made of plastic. An object-side surface 812, which faces the object side, is a convex aspheric surface, and an image-side surface 814, which faces the image side, is a concave aspheric surface. The object-side surface 812 and the image-side surface 814 each has an inflection point.
The second lens 820 has negative refractive power, and is made of plastic. Both an object-side surface 822 thereof, which faces the object side, and an image-side surface 824 thereof, which faces the image side, are concave aspheric surfaces. The object-side surface 822 has an inflection point, and the image-side surface 824 has two inflection points.
The third lens 830 has positive refractive power, and is made of plastic. An object-side surface 832, which faces the object side, is a concave aspheric surface, and an image-side surface 834, which faces the image side, is a convex aspheric surface. The object-side surface 832 has two inflection points, and the image-side surface 834 has three inflection points.
The fourth lens 840 has negative refractive power, and is made of plastic. An object-side surface 842 thereof, which faces the object side, is a convex aspheric surface, and an image-side surface 844 thereof, which faces the image side, is a concave aspheric surface. The object-side surface 842 has three inflection points, and the image-side surface 844 has an inflection point.
The infrared rays filter 870 is made of glass, and between the fourth lens 840 and the image plane 880. The infrared rays filter 870 gives no contribution to the focal length of the system.
The parameters of the lenses of the eighth preferred embodiment are |f2|+|f3|=8.4825 mm; |f1|+|f4|=6.7619 mm; and |f2|+|f3<|f1|+|f4|, where f1-f4 are focal lengths of the first lens 810 to the fourth lens 840.
The optical image capturing system of the eighth preferred embodiment further satisfies TP3=0.5661 mm and TP4=0.5239 mm, where TP3 is a thickness of the third lens 830 on the optical axis and TP4 is a thickness of the fourth lens 840 on the optical axis.
The optical image capturing system of the eighth preferred embodiment further satisfies ΣPP=f1+f3=5.7105 mm and f1/(f1+f3)=0.6451, 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 810 to the other positive lenses to avoid the significant aberration caused by the incident rays.
The optical image capturing system of the eighth preferred embodiment further satisfies ΣNP=f2+f4=−1.3946 mm and f4/(f2+f4)=0.6772, where ΣNP is a sum of the focal lengths of each negative lens.
The parameters of the lenses of the eighth embodiment are listed in Table 15 and Table 16.







TABLE 15







f = 2.907 mm; f/HEP = 1.6; HAF = 40.700 deg; tan(HAF) = 0.8601














Radius of curvature
Thickness

Refractive
Abbe
Focal length


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

















0
Object
plane
800






1
Aperture
plane
−0.200


2
1st lens
1.588036
0.677
plastic
1.544
56.09
3.684


3

6.412589
0.330


4
2nd lens
−42.813239
0.454
plastic
1.642
22.46
−6.456


5

4.653051
0.247


8
3rd lens
−2.643179
0.566
plastic
1.544
56.09
2.026


7

−0.838783
0.025


8
4th lens
1.887196
0.524
plastic
1.544
56.09
−3.078


9

0.801686
0.377


10
Filter
plane
0.220
BK_7
1.517
64.13


11

plane
0.51339


12
Image
plane



plane





Reference wavelength: 555 nm; Position of blocking light: blocking at the third surface with optical diameter of 0.96 mm.













TABLE 14





Coefficients of the aspheric surfaces



















Sur-






face
2
3
4
5





k
−2.886622E+00
 0.000000E+00
 0.000000E+00
 2.867493E+00


A4
 6.583573E−02
−6.532638E−02
−2.161774E−01
−7.273799E−02


A8
 8.682843E−02
−1.096740E−01
−2.493709E−01
 5.695958E−03


A8
−3.282874E−01
 1.074430E−01
 4.029628E−01
−2.760325E−01


A10
 4.500689E−01
−1.989399E−01
−8.043033E−01
 4.260124E−01


A12
−2.580560E−01
 9.154422E−02
 1.012144E+00
−3.258109E−01


A14
 0.000000E+00
 0.000000E+00
−3.828063E−01
 1.210673E−01


A18
 0.000000E+00
 0.000000E+00
 0.000000E+00
 0.000000E+00


A18
 0.000000E+00
 0.000000E+00
 0.000000E+00
 0.000000E+00



 0.000000E+00
 0.000000E+00
 0.000000E+00
 0.000000E+00





Sur-






face
8
7
8
9





k
 0.000000E+00
−2.076546E+00
 0
−4.677413813


A4
 2.345307E−01
 1.125363E−01
−2.797103E−01
−1.439052E−01


A8
−1.920773E−01
−4.003677E−01
 2.189059E−01
 1.738489E−01


A8
 2.480864E−01
 1.017410E+00
−2.155213E−01
−2.031760E−01


A10
−4.449567E−01
−1.735479E+00
 1.553461E−01
 1.590679E−01


A12
 3.625074E−01
 2.102112E+00
−6.448982E−02
−8.060808E−02


A14
−1.128810E−01
−1.650950E+00
 1.380044E−02
 2.618182E−02


A16
 0.000000E+00
 8.104488E−01
−1.177748E−03
−5.253843E−03









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 15 and Table 16 are listed in the following table:










Sixth embodiment (Reference wavelength: 555 nm)




















InRS11 
InRS12
InRS21
InRS22
InRS31
InRS32


0.26138
−0.06773
−0.22269
−0.01468
−0.15673
−0.48249


InRS41
InRS42
InRSO
InRSI
Σ|InRS|



0.14838
0.24834
0.78918
0.81323
1.60241











Σ|InRS|/
Σ|InRS|/
(|InRS22| + |InRS31|)/IN23
(|InRS32| + |InRS41|)/IN34












InTL
HOS














0.56756
0.39083
0.6935
25.2344








(|InRS31| + |InRS32| + |InRS41| + |InRS42|)/
(|InRS31| + |InRS32| + |InRS41| + |InRS42|)/


InTL
HOS


0.36692
0.25266












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


0.78896
0.45021
1.43440
0.94439
0.57064
3.18605


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




NPR|





2.18356
1.43440
1.52229
5.71050
−9.53394
0.64515


f4/Σ NP
IN12/f
|InRS41|/TP
|InRS42|/TP
|ODT|
|TDT|




4
4




0.32282
0.11358
0.28322
0.47403
1.03473
0.44139


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


2.82331
4.10000
1.80776
0.95122
0.68861
0.78668


HVT31
HVT32
HVT41
HVT42
HVT42/
HVT42/






HOI
HOS


0
0
0.00000
1.42301
0.62743
0.34708









The results of the equations of the third embodiment based on Table 15 and Table 16 are listed in the following table:










Values related to the inflection points of the sixth embodiment


(Reference wavelength: 555 nm)






















HIF111
0.8254
HIF111/HOI
0.3639
SGI111
0.2200
|SGI111|/(|SGI111| + TP1)
0.2452


HIF121
0.3677
HIF121/HOI
0.1621
SGI121
0.0091
|SGI121|/(|SGI121| + TP1)
0.0133


HIF211
0.8760
HIF211/HOI
0.3862
SGI211
−0.1765
|SGI211|/(|SGI211| + TP2)
0.2801


HIF221
0.4366
HIF221/HOI
0.1925
SGI221
0.0178
|SGI221|/(|SGI221| + TP2)
0.0377


HIF222
0.9563
HIF222/HOI
0.4216
SGI222
−0.0002
|SGI222|/(|SGI222| + TP2)
0.0005


HIF311
0.4489
HIF311/HOI
0.1979
SGI311
−0.0302
|SGI311|/(|SGI311| + TP3)
0.0506


HIF312
0.6821
HIF312/HOI
0.3008
SGI312
−0.0530
|SGI312|/(|SGI312| + TP3)
0.0857


HIF321
0.7711
HIF321/HOI
0.3400
SGI321
−0.2836
|SGI321|/(|SGI321| + TP3)
0.3338


HIF322
1.1874
HIF322/HOI
0.5235
SGI322
−0.4705
|SGI322|/(|SGI322| + TP3)
0.4539


HIF323
1.2090
HIF323/HOI
0.5331
SGI323
−0.4763
|SGI323|/(|SGI323| + TP3)
0.4569


HIF411
0.5154
HIF411/HOI
0.2272
SGI411
0.0552
|SGI411|/(|SGI411| + TP4)
0.0953


HIF412
1.1789
HIF412/HOI
0.5198
SGI412
0.1193
|SGI412|/(|SGI412| + TP4)
0.1855


HIF413
1.6039
HIF413/HOI
0.7072
SGI413
0.1421
|SGI413|/(|SGI413| + TP4)
0.2134


HIF421
0.5586
HIF421/HOI
0.2463
SGI421
0.1356
|SGI421|/(|SGI421| + TP4)
0.2056









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

## Claims

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


1.8≦f/HEP≦2.0; 0.5≦HOS/f≦3.0; and 0<Σ|InRS|/InTL≦3;


where f is a focal length of the optical image capturing system; HEP is an entrance pupil diameter of the optical image capturing system; HOS is a distance along the optical axis from an object-side surface of the first lens to the image plane; InTL is a distance between the object-side surface of the first lens and the image-side surface of the fourth lens along the optical axis; and Σ|InRS| is a sum of absolute values of a displacement for each lens with refractive power from a central point passed through by the optical axis to a point on the optical axis where a projection of the maximum effective semi diameter ends, wherein Σ|InRS|=InRSO+InRSI while InRSO is a sum of absolute value of the displacement for each lens with refractive power from the central point on the object-side surface passed through by the optical axis to the point on the optical axis where the projection of the maximum effective semi diameter of the object-side surface ends, and InRSI is a sum of absolute value of the displacement for each lens with refractive power from the central point on the image-side surface passed through by the optical axis to the point on the optical axis where the projection of the maximum effective semi diameter of the image-side surface ends;
wherein the optical image capturing system further satisfies:


35 degrees<HAF≦45 degrees;


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

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


|TDT|<60%;

where TDT is a TV distortion.

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


|ODT|<50%;

where ODT is an optical distortion.

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


0 mm<HOS≦7 mm.

5. The optical image capturing system of claim 1, wherein the fourth lens has negative refractive power.

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


0.45≦InTL/HOS≦0.9.

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


0.45≦ΣTP/InTL≦0.95;

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

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


0.5≦InS/HOS≦1.1;

where InS is a distance along 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 negative refractive power;
a third lens having positive refractive power;
a fourth lens having refractive power; and
an image plane;
wherein the lenses within the optical image capturing system consists of the four lenses with refractive power; at least two of the lenses from the first lens to the fourth lens each has at least an inflection point on a surface thereof; at least one of the lenses from the third lens to the fourth lens has positive refractive power; the fourth 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 fourth lens are aspheric surfaces;
wherein the optical image capturing system satisfies:


1.8≦f/HEP≦2.0; 0.5≦HOS/f≦3.0; and 0<Σ|InRS|/InTL≦3;


where f is a focal length of the optical image capturing system; HEP is an entrance pupil diameter of the optical image capturing system; HOS is a distance along 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 fourth lens along the optical axis; and Σ|InRS| is a sum of absolute values of a displacement for each lens with refractive power from a central point passed through by the optical axis to a point on the optical axis where a projection of the maximum effective semi diameter ends, wherein Σ|InRS|=InRSO+InRSI while InRSO is a sum of absolute value of the displacement for each lens with refractive power from the central point on the object-side surface passed through by the optical axis to the point on the optical axis where the projection of the maximum effective semi diameter of the object-side surface ends, and InRSI is a sum of absolute value of the displacement for each lens with refractive power from the central point on the image-side surface passed through by the optical axis to the point on the optical axis where the projection of the maximum effective semi diameter of the image-side surface ends;
wherein the optical image capturing system further satisfies:


35 degrees<HAF≦45 degrees;


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

10. The optical image capturing system of claim 9, wherein the fourth lens has negative refractive power, and at least one of the object-side surface and the image-side surface of the fourth lens has at least an inflection point.

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


0.5≦ΣPPR≦10;

where PPR is a ratio of the focal length of the optical image capturing system to a focal length fp of each of lenses with positive refractive power; ΣPPR is a sum of the PPRs.

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


|TDT|<60% and |ODT|≦50%;

where TDT is a TV distortion; and ODT is an optical distortion.

13. The optical image capturing system of claim 9, wherein the first lens has an image-side surface, which faces the image side, on which at least an inflection point is provided, and the object-side surface and the image-side surface of the fourth lens each has at least an inflection point.

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


0 mm<Σ|InRS|≦10 mm.

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


0 mm<|InRS31|+|InRS32|+|InRS41|+|InRS42|≦8 mm;

where InRS31 is a displacement from a point on the object-side surface of the third lens passed through by the optical axis to a point on the optical axis where a projection of the maximum effective semi diameter of the object-side surface of the third lens ends; InRS32 is a displacement from a point on the image-side surface of the third lens passed through by the optical axis to a point on the optical axis where a projection of the maximum effective semi diameter of the image-side surface of the third lens ends; InRS41 is a displacement from a point on the object-side surface of the fourth lens passed through by the optical axis to a point on the optical axis where a projection of the maximum effective semi diameter of the object-side surface of the fourth lens ends; and InRS42 is a displacement from a point on the image-side surface of the fourth lens passed through by the optical axis to a point on the optical axis where a projection of the maximum effective semi diameter of the image-side surface of the fourth lens ends.

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


0<(|InRS31|+|InRS32|+|InRS41|+|InRS42|)/InTL≦2.

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


0<(|InRS31|+|InRS32|+|InRS41|+|InRS42|)/HOS≦2;

wherein InRS31 is a displacement from a point on the object-side surface of the third lens passed through by the optical axis to a point on the optical axis where a projection of the maximum effective semi diameter of the object-side surface of the third lens ends; InRS32 is a displacement from a point on the image-side surface of the third lens passed through by the optical axis to a point on the optical axis where a projection of the maximum effective semi diameter of the image-side surface of the third lens ends; InRS41 is a displacement from a point on the object-side surface of the fourth lens passed through by the optical axis to a point on the optical axis where a projection of the maximum effective semi diameter of the object-side surface of the fourth lens ends; and InRS42 is a displacement from a point on the image-side surface of the fourth lens passed through by the optical axis to a point on the optical axis where a projection of the maximum effective semi diameter of the image-side surface of the fourth lens ends.

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


0<f1/ΣPP≦0.8;

where f1 is a focal length of the first lens; and ΣPP is a sum of focal lengths of each lens with positive refractive power.

19. 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 negative refractive power;
a third lens having positive refractive power;
a fourth lens having refractive power, wherein the fourth lens has at least an inflection point on at least one of 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 lenses within the optical image capturing system consists of the four lenses having refractive power; at least two of the lenses from the first lens to the third lens each has at least an inflection point on at least a surface thereof; the first lens has an object-side surface, which faces the object side, and an image-side surface, which faces the image side; both the object-side surface and the image-side surface of the first lens are aspheric surfaces, and both the object-side surface and the image-side surface of the fourth lens are aspheric surfaces;
wherein the optical image capturing system satisfies:


1.8≦f/HEP≦2.0; 0.4≦|tan(HAF)|≦3.0; 0.5≦HOS/f≦2.5; |TDT|<60%; |ODT|≦50%; and



0<Σ|InRS|/InTL≦3;


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


35 degrees<HAF≦45 degrees.

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


0<f1/ΣPP≦0.8;

where f1 is a focal length of the first length; and ΣPP is a sum of focal lengths of each lens with positive refractive power.

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


0 mm<HOS≦7 mm.

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


0 mm<|InRS31|+|InRS32|+|InRS41|+|InRS42|≦8 mm;

where InRS31 is a displacement from a point on the object-side surface of the third lens passed through by the optical axis to a point on the optical axis where a projection of the maximum effective semi diameter of the object-side surface of the third lens ends; InRS32 is a displacement from a point on the image-side surface of the third lens passed through by the optical axis to a point on the optical axis where a projection of the maximum effective semi diameter of the image-side surface of the third lens ends; InRS41 is a displacement from a point on the object-side surface of the fourth lens passed through by the optical axis to a point on the optical axis where a projection of the maximum effective semi diameter of the object-side surface of the fourth lens ends; and InRS42 is a displacement from a point on the image-side surface of the fourth lens passed through by the optical axis to a point on the optical axis where a projection of the maximum effective semi diameter of the image-side surface of the fourth lens ends.

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


0<(|InRS31|+|InRS32|+|InRS41|+|InRS42|)/InTL≦2.

24. The optical image capturing system of claim 22, further comprising an aperture and an image sensor on the image plane, wherein the optical image capturing system further satisfies:


0.5≦InS/HOS≦1.1;

where InS is a distance along the optical axis between the aperture and the image plane.