Patent Publication Number: US-9904014-B1

Title: Optical image capturing system

Description:
BACKGROUND OF THE INVENTION 
     1. Technical Field 
     The present invention relates generally to an optical system, and more particularly to a compact optical image capturing system for an electronic device. 
     2. Description of Related Art 
     In recent years, with the rise of portable electronic devices having camera functionalities, the demand for an optical image capturing system is raised gradually. The image sensing device of the ordinary photographing camera is commonly selected from charge coupled device (CCD) or complementary metal-oxide semiconductor sensor (CMOS Sensor). In addition, as advanced semiconductor manufacturing technology enables the minimization of the pixel size of the image sensing device, the development of the optical image capturing system towards the field of high pixels. Therefore, the requirement for high imaging quality is rapidly raised. 
     The conventional optical system of the portable electronic device usually has five or six lenses. However, the optical system is asked to take pictures in a dark environment, in other words, the optical system is asked to have a large aperture. The conventional optical system could not provide a high optical performance as required. 
     It is an important issue to increase the amount of light entering the lens. In addition, the modern lens is also asked to have several characters, including high image quality. 
     BRIEF SUMMARY OF THE INVENTION 
     The aspect of embodiment of the present disclosure directs to an optical image capturing system and an optical image capturing lens which use combination of refractive powers, convex and concave surfaces of seven-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 amount 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. 
     In addition, when it comes to certain application of optical imaging, there will be a need to capture image via light sources with wavelengths in both visible and infrared ranges, an example of this kind of application is IP video surveillance camera, which is equipped with the Day &amp; Night function. The visible spectrum for human vision has wavelengths ranging from 400 to 700 nm, but the image formed on the camera sensor includes infrared light, which is invisible to human eyes. Therefore, under certain circumstances, an IR cut filter removable (ICR) is placed before the sensor of the IP video surveillance camera, in order to ensure that only the light that is visible to human eyes is picked up by the sensor eventually, so as to enhance the “fidelity” of the image. The ICR of the IP video surveillance camera can completely filter out the infrared light under daytime mode to avoid color cast; whereas under night mode, it allows infrared light to pass through the lens to enhance the image brightness. Nevertheless, the elements of the ICR occupy a significant amount of space and are expensive, which impede to the design and manufacture of miniaturized surveillance cameras in the future. 
     The aspect of embodiment of the present disclosure directs to an optical image capturing system and an optical image capturing lens which utilize the combination of refractive powers, convex surfaces and concave surfaces of four lenses, as well as the selection of materials thereof, to reduce the difference between the imaging focal length of visible light and imaging focal length of infrared light, in order to achieve the near “confocal” effect without the use of ICR elements. 
     The term and its definition to the lens parameter in the embodiment of the present are shown as below for further reference. 
     The lens parameters related to the magnification of the optical image capturing system 
     The optical image capturing system can be designed and applied to biometrics, for example, facial recognition. When the embodiment of the present disclosure is configured to capture image for facial recognition, the infrared light can be adopted as the operation wavelength. For a face of about 15 centimeters (cm) wide at a distance of 25-30 cm, at least 30 horizontal pixels can be formed in the horizontal direction of an image sensor (pixel size of 1.4 micrometers (μm)). The linear magnification of the infrared light on the image plane is LM, and it meets the following conditions: LM≧0.0003, where LM=(30 horizontal pixels)*(1.4 μm pixel size)/(15 cm, width of the photographed object). Alternatively, the visible light can also be adopted as the operation wavelength for image recognition. When the visible light is adopted, for a face of about 15 cm wide at a distance of 25-30 cm, at least 50 horizontal pixels can be formed in the horizontal direction of an image sensor (pixel size of 1.4 micrometers (μm)). 
     The lens parameter related to a length or a height in the lens: 
     For visible spectrum, the present invention may adopt the wavelength of 555 nm as the primary reference wavelength and the basis for the measurement of focus shift; for infrared spectrum (700-1000 nm), the present invention may adopt the wavelength of 850 nm as the primary reference wavelength and the basis for the measurement of focus shift. 
     The optical image capturing system includes a first image plane and a second image plane. The first image plane is an image plane specifically for the visible light, and the first image plane is perpendicular to the optical axis; the through-focus modulation transfer rate (value of MTF) at the first spatial frequency has a maximum value at the central field of view of the first image plane; the second image plane is an image plane specifically for the infrared light, and second image plane is perpendicular to the optical axis; the through-focus modulation transfer rate (value of MTF) at the first spatial frequency has a maximum value in the central of field of view of the second image plane. The optical image capturing system also includes a first average image plane and a second average image plane. The first average image plane is an image plane specifically for the visible light, and the first average image plane is perpendicular to the optical axis. The first average image plane is installed at the average position of the defocusing positions, where the values of MTF of the visible light at the central field of view, 0.3 field of view, and the 0.7 field of view are at their respective maximum at the first spatial frequency. The second average image plane is an image plane specifically for the infrared light, and the second average image plane is perpendicular to the optical axis. The second average image plane is installed at the average position of the defocusing positions, where the values of MTF of the infrared light at the central field of view, 0.3 field of view, and the 0.7 field of view are at their respective maximum at the first spatial frequency. 
     The aforementioned first spatial frequency is set to be half of the spatial frequency (half frequency) of the image sensor (sensor) used in the present invention. For example, for an image sensor having the pixel size of 1.12 μm or less, the quarter spatial frequency, half spatial frequency (half frequency) and full spatial frequency (full frequency) in the characteristic diagram of modulation transfer function are at least 110 cycles/mm, 220 cycles/mm and 440 cycles/mm, respectively. Lights of any field of view can be further divided into sagittal ray and tangential ray. 
     The focus shifts where the through-focus MTF values of the visible sagittal ray at the central field of view, 0.3 field of view, and 0.7 field of view of the optical image capturing system are at their respective maxima, are denoted by VSFS0, VSFS3, and VSFS7 (unit of measurement: mm), respectively. The maximum values of the through-focus MTF of the visible sagittal ray at the central field of view, 0.3 field of view, and 0.7 field of view are denoted by VSMTF0, VSMTF3, and VSMTF7, respectively. The focus shifts where the through-focus MTF values of the visible tangential ray at the central field of view, 0.3 field of view, and 0.7 field of view of the optical image capturing system are at their respective maxima, are denoted by VTFS0, VTFS3, and VTFS7 (unit of measurement: mm), respectively. The maximum values of the through-focus MTF of the visible tangential ray at the central field of view, 0.3 field of view, and 0.7 field of view are denoted by VTMTF0, VTMTF3, and VTMTF7, respectively. The average focus shift (position) of both the aforementioned focus shifts of the visible sagittal ray at three fields of view and focus shifts of the visible tangential ray at three fields of view is denoted by AVFS (unit of measurement: mm), which equals to the absolute value |(VSFS0+VSFS3+VSFS7+VTFS0+VTFS3+VTFS7)/6|. 
     The focus shifts where the through-focus MTF values of the infrared sagittal ray at the central field of view, 0.3 field of view, and 0.7 field of view of the optical image capturing system are at their respective maxima, are denoted by ISFS0, ISFS3, and ISFS7 (unit of measurement: mm), respectively. The average focus shift (position) of the aforementioned focus shifts of the infrared sagittal ray at three fields of view is denoted by AISFS (unit of measurement: mm). The maximum values of the through-focus MTF of the infrared sagittal ray at the central field of view, 0.3 field of view, and 0.7 field of view are denoted by ISMTF0, ISMTF3, and ISMTF7, respectively. The focus shifts where the through-focus MTF values of the infrared tangential ray at the central field of view, 0.3 field of view, and 0.7 field of view of the optical image capturing system are at their respective maxima, are denoted by ITFS0, ITFS3, and ITFS7 (unit of measurement: mm), respectively. The average focus shift (position) of the aforementioned focus shifts of the infrared tangential ray at three fields of view is denoted by AITFS (unit of measurement: mm). The maximum values of the through-focus MTF of the infrared tangential ray at the central field of view, 0.3 field of view, and 0.7 field of view are denoted by ITMTF0, ITMTF3, and ITMTF7, respectively. The average focus shift (position) of both of the aforementioned focus shifts of the infrared sagittal ray at the three fields of view and focus shifts of the infrared tangential ray at the three fields of view is denoted by AIFS (unit of measurement: mm), which equals to the absolute value of |(ISFS0+ISFS3+ISFS7+ITFS0+ITFS3+ITFS7)/6|. 
     The focus shift (difference) between the focal points of the visible light and the infrared light at their central fields of view (RGB/IR) of the entire optical image capturing system (i.e. wavelength of 850 nm versus wavelength of 555 nm, unit of measurement: mm) is denoted by FS, which satisfies the absolute value |(VSFS0+VTFS0)/2−(ISFS0+ITFS0)/2|. The difference (focus shift) between the average focus shift of the visible light in the three fields of view and the average focus shift of the infrared light in the three fields of view (RGB/IR) of the entire optical image capturing system is denoted by AFS (i.e. wavelength of 850 nm versus wavelength of 555 nm, unit of measurement: mm), which equals to the absolute value of |AIFS−AVFS|. 
     A maximum 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 seventh lens is denoted by InTL. A distance from the first lens to the second lens is denoted by IN12 (instance). A central thickness of the first lens of the optical image capturing system on the optical axis is denoted by TP1 (instance). 
     The lens parameter related to a material in the lens: 
     An Abbe number of the first lens in the optical image capturing system is denoted by NA1 (instance). A refractive index of the first lens is denoted by Nd1 (instance). 
     The lens parameter related to a view angle in the lens: 
     A view angle is denoted by AF. Half of the view angle is denoted by HAF. A major light angle is denoted by MRA. 
     The lens parameter related to exit/entrance pupil in the lens: 
     An entrance pupil diameter of the optical image capturing system is denoted by HEP. For any surface of any lens, a maximum effective half diameter (EHD) is a perpendicular distance between an optical axis and a crossing point on the surface where the incident light with a maximum viewing angle of the system passing the very edge of the entrance pupil. For example, the maximum effective half diameter of the object-side surface of the first lens is denoted by EHD11, the maximum effective half diameter of the image-side surface of the first lens is denoted by EHD12, the maximum effective half diameter of the object-side surface of the second lens is denoted by EHD21, the maximum effective half diameter of the image-side surface of the second lens is denoted by EHD22, and so on. 
     The lens parameter related to an arc length of the shape of a surface and a surface profile: 
     For any surface of any lens, a profile curve length of the maximum effective half diameter is, by definition, measured from a start point where the optical axis of the belonging optical image capturing system passes through the surface of the lens, along a surface profile of the lens, and finally to an end point of the maximum effective half diameter thereof. In other words, the curve length between the aforementioned start and end points is the profile curve length of the maximum effective half diameter, which is denoted by ARS. For example, the profile curve length of the maximum effective half diameter of the object-side surface of the first lens is denoted by ARS11, the profile curve length of the maximum effective half diameter of the image-side surface of the first lens is denoted by ARS12, the profile curve length of the maximum effective half diameter of the object-side surface of the second lens is denoted by ARS21, the profile curve length of the maximum effective half diameter of the image-side surface of the second lens is denoted by ARS22, and so on. 
     For any surface of any lens, a profile curve length of a half of the entrance pupil diameter (HEP) is, by definition, measured from a start point where the optical axis of the belonging optical image capturing system passes through the surface of the lens, along a surface profile of the lens, and finally to a coordinate point of a perpendicular distance where is a half of the entrance pupil diameter away from the optical axis. In other words, the curve length between the aforementioned stat point and the coordinate point is the profile curve length of a half of the entrance pupil diameter (REP), and is denoted by ARE. For example, the profile curve length of a half of the entrance pupil diameter (REP) of the object-side surface of the first lens is denoted by ARE11, the profile curve length of a half of the entrance pupil diameter (REP) of the image-side surface of the first lens is denoted by ARE12, the profile curve length of a half of the entrance pupil diameter (REP) of the object-side surface of the second lens is denoted by ARE21, the profile curve length of a half of the entrance pupil diameter (REP) of the image-side surface of the second lens is denoted by ARE22, and so on. 
     The lens parameter related to a depth of the lens shape: 
     A displacement from a point on the object-side surface of the seventh lens, which is 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 seventh lens ends, is denoted by InRS71 (the depth of the maximum effective semi diameter). A displacement from a point on the image-side surface of the seventh lens, which is 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 seventh lens ends, is denoted by InRS72 (the depth of the maximum effective semi diameter). The depth of the maximum effective semi diameter (sinkage) on the object-side surface or the image-side surface of any other lens is denoted in the same manner. 
     The lens parameter related to the lens shape: 
     A critical point C is a tangent point on a surface of a specific lens, and the tangent point is tangent to a plane perpendicular to the optical axis and the tangent point cannot be a crossover point on the optical axis. By the definition, a distance perpendicular to the optical axis between a critical point C51 on the object-side surface of the fifth lens and the optical axis is HVT51 (instance), and a distance perpendicular to the optical axis between a critical point C52 on the image-side surface of the fifth lens and the optical axis is HVT52 (instance). A distance perpendicular to the optical axis between a critical point C61 on the object-side surface of the sixth lens and the optical axis is HVT61 (instance), and a distance perpendicular to the optical axis between a critical point C62 on the image-side surface of the sixth lens and the optical axis is HVT62 (instance). A distance perpendicular to the optical axis between a critical point on the object-side or image-side surface of other lenses, e.g., the seventh lens, and the optical axis is denoted in the same manner. 
     The object-side surface of the seventh lens has one inflection point IF711 which is nearest to the optical axis, and the sinkage value of the inflection point IF711 is denoted by SGI711 (instance). A distance perpendicular to the optical axis between the inflection point IF711 and the optical axis is HIF711 (instance). The image-side surface of the seventh lens has one inflection point IF721 which is nearest to the optical axis, and the sinkage value of the inflection point IF721 is denoted by SGI721 (instance). A distance perpendicular to the optical axis between the inflection point IF721 and the optical axis is BIF721 (instance). 
     The object-side surface of the seventh lens has one inflection point IF712 which is the second nearest to the optical axis, and the sinkage value of the inflection point IF712 is denoted by SGI712 (instance). A distance perpendicular to the optical axis between the inflection point IF712 and the optical axis is HIF712 (instance). The image-side surface of the seventh lens has one inflection point IF722 which is the second nearest to the optical axis, and the sinkage value of the inflection point IF722 is denoted by SGI722 (instance). A distance perpendicular to the optical axis between the inflection point IF722 and the optical axis is HIF722 (instance). 
     The object-side surface of the seventh lens has one inflection point IF713 which is the third nearest to the optical axis, and the sinkage value of the inflection point IF713 is denoted by SGI713 (instance). A distance perpendicular to the optical axis between the inflection point IF713 and the optical axis is HIF713 (instance). The image-side surface of the seventh lens has one inflection point IF723 which is the third nearest to the optical axis, and the sinkage value of the inflection point IF723 is denoted by SGI723 (instance). A distance perpendicular to the optical axis between the inflection point IF723 and the optical axis is HIF723 (instance). 
     The object-side surface of the seventh lens has one inflection point IF714 which is the fourth nearest to the optical axis, and the sinkage value of the inflection point IF714 is denoted by SGI714 (instance). A distance perpendicular to the optical axis between the inflection point IF714 and the optical axis is HIF714 (instance). The image-side surface of the seventh lens has one inflection point IF724 which is the fourth nearest to the optical axis, and the sinkage value of the inflection point IF724 is denoted by SGI724 (instance). A distance perpendicular to the optical axis between the inflection point IF724 and the optical axis is HIF724 (instance). 
     An inflection point, a distance perpendicular to the optical axis between the inflection point and the optical axis, and a sinkage value thereof on the object-side surface or image-side surface of other lenses is denoted in the same manner. 
     The lens parameter related to an aberration: 
     Optical distortion for image formation in the optical image capturing system is denoted by ODT. TV distortion for image formation in the optical image capturing system is denoted by TDT. Further, the range of the aberration offset for the view of image formation may be limited to 50%-100% field. An offset of the spherical aberration is denoted by DFS. An offset of the coma aberration is denoted by DFC. 
     Transverse aberration on an edge of an aperture is denoted by STA, which stands for STOP transverse aberration, and is used to evaluate the performance of one specific optical image capturing system. The transverse aberration of light in any field of view can be calculated with a tangential fan or a sagittal fan. More specifically, the transverse aberration caused when the longest operation wavelength (e.g., 650 nm) and the shortest operation wavelength (e.g., 470 nm) pass through the edge of the aperture can be used as the reference for evaluating performance. The coordinate directions of the aforementioned tangential fan can be further divided into a positive direction (upper light) and a negative direction (lower light). The longest operation wavelength which passes through the edge of the aperture has an imaging position on the image plane in a particular field of view, and the reference wavelength of the mail light (e.g., 555 nm) has another imaging position on the image plane in the same field of view. The transverse aberration caused when the longest operation wavelength passes through the edge of the aperture is defined as a distance between these two imaging positions. Similarly, the shortest operation wavelength which passes through the edge of the aperture has an imaging position on the image plane in a particular field of view, and the transverse aberration caused when the shortest operation wavelength passes through the edge of the aperture is defined as a distance between the imaging position of the shortest operation wavelength and the imaging position of the reference wavelength. The performance of the optical image capturing system can be considered excellent if the transverse aberrations of the shortest and the longest operation wavelength which pass through the edge of the aperture and image on the image plane in 0.7 field of view (i.e., 0.7 times the height for image formation HOI) are both less than 100 μm. Furthermore, for a stricter evaluation, the performance cannot be considered excellent unless the transverse aberrations of the shortest and the longest operation wavelength which pass through the edge of the aperture and image on the image plane in 0.7 field of view are both less than 80 μm. 
     The optical image capturing system has a maximum image height HOI on the image plane vertical to the optical axis. A transverse aberration at 0.7 HOI in the positive direction of the tangential fan after the longest operation wavelength of visible light passing through the edge of the aperture is denoted by PLTA; a transverse aberration at 0.7 HOI in the positive direction of the tangential fan after the shortest operation wavelength of visible light passing through the edge of the aperture is denoted by PSTA; a transverse aberration at 0.7 HOI in the negative direction of the tangential fan after the longest operation wavelength of visible light passing through the edge of the aperture is denoted by NLTA; a transverse aberration at 0.7 HOI in the negative direction of the tangential fan after the shortest operation wavelength of visible light passing through the edge of the aperture is denoted by NSTA; a transverse aberration at 0.7 HOI of the sagittal fan after the longest operation wavelength of visible light passing through the edge of the aperture is denoted by SLTA; a transverse aberration at 0.7 HOI of the sagittal fan after the shortest operation wavelength of visible light passing through the edge of the aperture is denoted by SSTA. 
     The present invention provides an optical image capturing system capable of focusing visible and infrared light (i.e., dual-mode) at the same time and achieving certain performance, in which the seventh 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 seventh lens are capable of modifying the optical path to improve the imagining quality. 
     The optical image capturing system of the present invention includes a first lens, a second lens, a third lens, a fourth lens, a fifth lens, as sixth lens, a seventh lens, a first image plane, and a second image plane. The first image plane is an image plane specifically for the visible light, and the first image plane is perpendicular to the optical axis; the through-focus modulation transfer rate (value of MTF) at the first spatial frequency has a maximum value at the central field of view of the first image plane; the second image plane is an image plane specifically for the infrared light, and second image plane is perpendicular to the optical axis; the through-focus modulation transfer rate (value of MTF) at the first spatial frequency has a maximum value at the central of field of view of the second image plane. All lenses among the first lens to the seventh lens have refractive power. At least one lens among the first lens to the seventh lens is made of plastic, and at least one lens among the first lens to the seventh lens is made of glass. The optical image capturing system satisfies:
 
1≦ f/HEP≦ 10; 0 deg&lt; HAF≦ 150 deg; and | FS|≦ 60 μm;
 
     where f1, 12, f3, f4, f5, f6, and 17 are the focal lengths of the first, the second, the third, the fourth, the fifth, the sixth, the seventh lenses, respectively; f is a focal length of the optical image capturing system; HEP is an entrance pupil diameter of the optical image capturing system; HOS is a distance between the object-side surface of the first lens and the first image plane on the optical axis; HAF is a half of a maximum view angle of the optical image capturing system; HOI is the maximum image height on the first image plane perpendicular to the optical axis of the optical image capturing system; FS is the distance on the optical axis between the first image plane and the second image plane. 
     The present invention further provides an optical image capturing system, including a first lens, a second lens, a third lens, a fourth lens, a fifth lens, a sixth lens, a seventh lens, a first image plane, and a second image plane. The first image plane is an image plane specifically for the visible light, and the first image plane is perpendicular to the optical axis; the through-focus modulation transfer rate (value of MTF) at the first spatial frequency has a maximum value at the central field of view of the first image plane; the second image plane is an image plane specifically for the infrared light, and second image plane is perpendicular to the optical axis; the through-focus modulation transfer rate (value of MTF) at the first spatial frequency has a maximum value at the central of field of view of the second image plane. The first lens has refractive power, and the object-side surface thereof can be convex near the optical axis. The second lens has refractive power. The third lens has refractive power. The fourth lens has refractive power. The fifth lens has refractive power. The sixth lens has refractive power. The seventh lens has refractive power. At least one lens among the first lens to the seventh lens is made of plastic, and at least one lens among the first lens to the seventh lens is made of glass. HOI is a maximum height for image formation perpendicular to the optical axis on the image plane. At least one lens among the first lens to the seventh lens has positive refractive power. The optical image capturing system satisfies:
 
1≦ f/HEP≦ 10; 0 deg&lt; HAF≦ 150 deg; 0.9≦2( ARE/HEP )≦2.0; and | FS|≦ 60 μm;
 
     where f1, f2, f3, f4, f5, f6, and f7 are the focal lengths of the first, the second, the third, the fourth, the fifth, the sixth, the seventh lenses, respectively; f is a focal length of the optical image capturing system; HEP is an entrance pupil diameter of the optical image capturing system; HOS is a distance between the object-side surface of the first lens and the first image plane on the optical axis; HAF is a half of a maximum view angle of the optical image capturing system; HOI is the maximum image height on the first image plane perpendicular to the optical axis of the optical image capturing system; FS is the distance on the optical axis between the first image plane and the second image plane; ARE is a profile curve length measured from a start point where the optical axis of the belonging optical image capturing system passes through the surface of the lens, along a surface profile of the lens, and finally to a coordinate point of a perpendicular distance where is a half of the entrance pupil diameter away from the optical axis. At least one lens among the first lens to the seventh lens is made of glass. 
     The present invention further provides an optical image capturing system, including a first lens, a second lens, a third lens, a fourth lens, a fifth lens, a sixth lens, a seventh lens, a first average image plane, and a second average image plane. The first average image plane is an image plane specifically for the visible light, and the first average image plane is perpendicular to the optical axis. The first average image plane is installed at the average position of the defocusing positions, where the values of MTF of the visible light at the central field of view, 0.3 field of view, and the 0.7 field of view are at their respective maximum at the first spatial frequency. The second average image plane is an image plane specifically for the infrared light, and the second average image plane is perpendicular to the optical axis. The second average image plane is installed at the average position of the defocusing positions, where the values of MTF of the infrared light at the central field of view, 0.3 field of view, and the 0.7 field of view are at their respective maximum at the first spatial frequency. The number of the lenses having refractive power in the optical image capturing system is seven. HOI is a maximum height for image formation perpendicular to the optical axis on the image plane. At least one lens among the first lens to the seventh lens is made of plastic, and at least one lens among the first lens to the seventh lens is made of glass. The first lens has refractive power. The second lens has refractive power. The third lens has refractive power. The fourth lens has refractive power. The fifth lens has refractive power. The sixth lens has refractive power. The seventh lens has refractive power. At least one lens among the first lens to the seventh lens has positive refractive power. The optical image capturing system satisfies:
 
1≦ f/HEP≦ 10; 0 deg&lt; HAF≦ 150 deg; 0.9≦2( ARE/HEP )≦2.0; and | AFS|≦ 60 μm;
 
     where f1, f2, f3, f4, f5, f6, and 17 are the focal lengths of the first, the second, the third, the fourth, the fifth, the sixth, the seventh lenses, respectively; f is a focal length of the optical image capturing system; REP is an entrance pupil diameter of the optical image capturing system; HOS is a distance between the object-side surface of the first lens and the first average image plane on the optical axis; HAF is a half of a maximum view angle of the optical image capturing system; HOI is the maximum image height on the first average image plane perpendicular to the optical axis of the optical image capturing system; ARE is a profile curve length measured from a start point where the optical axis of the belonging optical image capturing system passes through the surface of the lens, along a surface profile of the lens, and finally to a coordinate point of a perpendicular distance where is a half of the entrance pupil diameter away from the optical axis; AFS is the distance between the first average image plane and the second average image plane. 
     For any surface of any lens, the profile curve length within the effective half diameter affects the ability of the surface to correct aberration and differences between optical paths of light in different fields of view. With longer profile curve length, the ability to correct aberration is better. However, the difficulty of manufacturing increases as well. Therefore, the profile curve length within the effective half diameter of any surface of any lens has to be controlled. The ratio between the profile curve length (ARS) within the effective half diameter of one surface and the thickness (TP) of the lens, which the surface belonged to, on the optical axis (i.e., ARS/TP) has to be particularly controlled. For example, the profile curve length of the maximum effective half diameter of the object-side surface of the first lens is denoted by ARS11, the thickness of the first lens on the optical axis is TP1, and the ratio between these two parameters is ARS11/TP1; the profile curve length of the maximum effective half diameter of the image-side surface of the first lens is denoted by ARS12, and the ratio between ARS12 and TP1 is ARS12/TP1. The profile curve length of the maximum effective half diameter of the object-side surface of the second lens is denoted by ARS21, the thickness of the second lens on the optical axis is TP2, and the ratio between these two parameters is ARS21/TP2; the profile curve length of the maximum effective half diameter of the image-side surface of the second lens is denoted by ARS22, and the ratio between ARS22 and TP2 is ARS22/TP2. For any surface of other lenses in the optical image capturing system, the ratio between the profile curve length of the maximum effective half diameter thereof and the thickness of the lens which the surface belonged to is denoted in the same manner. 
     For any surface of any lens, the profile curve length within a half of the entrance pupil diameter (HEP) affects the ability of the surface to correct aberration and differences between optical paths of light in different fields of view. With longer profile curve length, the ability to correct aberration is better. However, the difficulty of manufacturing increases as well. Therefore, the profile curve length within a half of the entrance pupil diameter (REP) of any surface of any lens has to be controlled. The ratio between the profile curve length (ARE) within a half of the entrance pupil diameter (REP) of one surface and the thickness (TP) of the lens, which the surface belonged to, on the optical axis (i.e., ARE/TP) has to be particularly controlled. For example, the profile curve length of a half of the entrance pupil diameter (REP) of the object-side surface of the first lens is denoted by ARE11, the thickness of the first lens on the optical axis is TP1, and the ratio between these two parameters is ARE11/TP1; the profile curve length of a half of the entrance pupil diameter (HEP) of the image-side surface of the first lens is denoted by ARE12, and the ratio between ARE12 and TP1 is ARE12/TP1. The profile curve length of a half of the entrance pupil diameter (REP) of the object-side surface of the second lens is denoted by ARE21, the thickness of the second lens on the optical axis is TP2, and the ratio between these two parameters is ARE21/TP2; the profile curve length of a half of the entrance pupil diameter (REP) of the image-side surface of the second lens is denoted by ARE22, and the ratio between ARE22 and TP2 is ARE22/TP2. For any surface of other lenses in the optical image capturing system, the ratio between the profile curve length of a half of the entrance pupil diameter (REP) thereof and the thickness of the lens which the surface belonged to is denoted in the same manner. 
     In an embodiment, a height of the optical image capturing system (HOS) can be reduced while |f1|&gt;f7. 
     In an embodiment, when |f2|+|f3|+|f4|+|f5|+|f6| and |f1|+|f7| of the lenses satisfy the aforementioned conditions, at least one lens among the second to the sixth lenses could have weak positive refractive power or weak negative refractive power. Herein the weak refractive power means the absolute value of the focal length of one specific lens is greater than 10. When at least one lens among the second to the sixth lenses has weak positive refractive power, it may share the positive refractive power of the first lens, and on the contrary, when at least one lens among the second to the sixth lenses has weak negative refractive power, it may fine turn and correct the aberration of the system. 
     In an embodiment, the seventh lens could have negative refractive power, and an image-side surface thereof is concave, it may reduce back focal length and size. Besides, the seventh lens can have at least an inflection point on at least a surface thereof, which may reduce an incident angle of the light of an off-axis field of view and correct the aberration of the off-axis field of view. 
    
    
     
       BRIEF DESCRIPTION OF THE SEVERAL VIEWS OF THE DRAWINGS 
       The present invention will be best understood by referring to the following detailed description of some illustrative embodiments in conjunction with the accompanying drawings, in which 
         FIG. 1A  is a schematic diagram of a first embodiment of the present invention; 
         FIG. 1B  shows curve diagrams of longitudinal spherical aberration, astigmatic field, and optical distortion of the optical image capturing system in the order from left to right of the first embodiment of the present application; 
         FIG. 1C  shows a tangential fan and a sagittal fan of the optical image capturing system of the first embodiment of the present application, and a transverse aberration diagram at 0.7 field of view when a longest operation wavelength and a shortest operation wavelength pass through an edge of an aperture; 
         FIG. 1D  is a diagram showing the through-focus MTF values of the visible light spectrum at the central field of view, 0.3 field of view, and 0.7 field of view of the first embodiment of the present invention; 
         FIG. 1E  is a diagram showing the through-focus MTF values of the infrared light spectrum at the central field of view, 0.3 field of view, and 0.7 field of view of the first embodiment of the present disclosure; 
         FIG. 2A  is a schematic diagram of a second embodiment of the present invention; 
         FIG. 2B  shows curve diagrams of longitudinal spherical aberration, astigmatic field, and optical distortion of the optical image capturing system in the order from left to right of the second embodiment of the present application; 
         FIG. 2C  shows a tangential fan and a sagittal fan of the optical image capturing system of the second embodiment of the present application, and a transverse aberration diagram at 0.7 field of view when a longest operation wavelength and a shortest operation wavelength pass through an edge of an aperture; 
         FIG. 2D  is a diagram showing the through-focus MTF values of the visible light spectrum at the central field of view, 0.3 field of view, and 0.7 field of view of the second embodiment of the present invention; 
         FIG. 2E  is a diagram showing the through-focus MTF values of the infrared light spectrum at the central field of view, 0.3 field of view, and 0.7 field of view of the second embodiment of the present disclosure; 
         FIG. 3A  is a schematic diagram of a third embodiment of the present invention; 
         FIG. 3B  shows curve diagrams of longitudinal spherical aberration, astigmatic field, and optical distortion of the optical image capturing system in the order from left to right of the third embodiment of the present application; 
         FIG. 3C  shows a tangential fan and a sagittal fan of the optical image capturing system of the third embodiment of the present application, and a transverse aberration diagram at 0.7 field of view when a longest operation wavelength and a shortest operation wavelength pass through an edge of an aperture; 
         FIG. 3D  is a diagram showing the through-focus MTF values of the visible light spectrum at the central field of view, 0.3 field of view, and 0.7 field of view of the third embodiment of the present invention; 
         FIG. 3E  is a diagram showing the through-focus MTF values of the infrared light spectrum at the central field of view, 0.3 field of view, and 0.7 field of view of the third embodiment of the present disclosure; 
         FIG. 4A  is a schematic diagram of a fourth embodiment of the present invention; 
         FIG. 4B  shows curve diagrams of longitudinal spherical aberration, astigmatic field, and optical distortion of the optical image capturing system in the order from left to right of the fourth embodiment of the present application; 
         FIG. 4C  shows a tangential fan and a sagittal fan of the optical image capturing system of the fourth embodiment of the present application, and a transverse aberration diagram at 0.7 field of view when a longest operation wavelength and a shortest operation wavelength pass through an edge of an aperture; 
         FIG. 4D  is a diagram showing the through-focus MTF values of the visible light spectrum at the central field of view, 0.3 field of view, and 0.7 field of view of the fourth embodiment of the present invention; 
         FIG. 4E  is a diagram showing the through-focus MTF values of the infrared light spectrum at the central field of view, 0.3 field of view, and 0.7 field of view of the fourth embodiment of the present disclosure; 
         FIG. 5A  is a schematic diagram of a fifth embodiment of the present invention; 
         FIG. 5B  shows curve diagrams of longitudinal spherical aberration, astigmatic field, and optical distortion of the optical image capturing system in the order from left to right of the fifth embodiment of the present application; 
         FIG. 5C  shows a tangential fan and a sagittal fan of the optical image capturing system of the fifth embodiment of the present application, and a transverse aberration diagram at 0.7 field of view when a longest operation wavelength and a shortest operation wavelength pass through an edge of an aperture; 
         FIG. 5D  is a diagram showing the through-focus MTF values of the visible light spectrum at the central field of view, 0.3 field of view, and 0.7 field of view of the fifth embodiment of the present invention; 
         FIG. 5E  is a diagram showing the through-focus MTF values of the infrared light spectrum at the central field of view, 0.3 field of view, and 0.7 field of view of the fifth embodiment of the present disclosure; 
         FIG. 6A  is a schematic diagram of a sixth embodiment of the present invention; 
         FIG. 6B  shows curve diagrams of longitudinal spherical aberration, astigmatic field, and optical distortion of the optical image capturing system in the order from left to right of the sixth embodiment of the present application; 
         FIG. 6C  shows a tangential fan and a sagittal fan of the optical image capturing system of the sixth embodiment of the present application, and a transverse aberration diagram at 0.7 field of view when a longest operation wavelength and a shortest operation wavelength pass through an edge of an aperture; 
         FIG. 6D  is a diagram showing the through-focus MTF values of the visible light spectrum at the central field of view, 0.3 field of view, and 0.7 field of view of the sixth embodiment of the present invention; and 
         FIG. 6E  is a diagram showing the through-focus MTF values of the infrared light spectrum at the central field of view, 0.3 field of view, and 0.7 field of view of the sixth embodiment of the present disclosure. 
     
    
    
     DETAILED DESCRIPTION OF THE INVENTION 
     An optical image capturing system of the present invention includes a first lens, a second lens, a third lens, a fourth lens, a fifth lens, a sixth lens, a seventh lens, and an image plane from an object side to an image side. The optical image capturing system further is provided with an image sensor at an image plane. The height for image formation in each of the following embodiments is about 3.91 mm. 
     The optical image capturing system can work in three wavelengths, including 486.1 nm, 587.5 nm, and 656.2 nm, wherein 587.5 nm is the main reference wavelength and is the reference wavelength for obtaining the technical characters. The optical image capturing system can also work in five wavelengths, including 470 nm, 510 nm, 555 nm, 610 nm, and 650 nm wherein 555 nm is the main reference wavelength, and is the reference wavelength for obtaining the technical characters. 
     The optical image capturing system of the present invention satisfies 0.5≦ΣPPR/|ΣNPR|≦15, and a preferable range is 1≦ΣPPR/|ΣNPR|≦3.0, where PPR is a ratio of the focal length fp 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 fn of the optical image capturing system to a focal length fn of each of lenses with negative refractive power; ΣPPR is a sum of the PPRs of each positive lens; and ΣNPR is a sum of the NPRs of each negative lens. It is helpful for control of an entire refractive power and an entire length of the optical image capturing system. 
     The image sensor is provided on the image plane. The optical image capturing system of the present invention satisfies HOS/HOI≦10 and 0.5≦HOS/f≦10, and a preferable range is 1≦HOS/HOI≦5 and 1≦HOS/f≦7, where HOI is a half of a diagonal of an effective sensing area of the image sensor, i.e., the maximum image height, and HOS is a height of the optical image capturing system, i.e. a distance on the optical axis between the object-side surface of the first lens and the image plane. It is helpful for reduction of the size of the system for used in compact cameras. 
     The optical image capturing system of the present invention further is provided with an aperture to increase image quality. 
     In the optical image capturing system of the present invention, the aperture could be a front aperture or a middle aperture, wherein the front aperture is provided between the object and the first lens, and the middle is provided between the first lens and the image plane. The front aperture provides a long distance between an exit pupil of the system and the image plane, which allows more elements to be installed. The middle could enlarge a view angle of view of the system and increase the efficiency of the image sensor. The optical image capturing system satisfies 0.2≦InS/HOS≦1.1, where InS is a distance between the aperture and the image-side surface of the sixth lens. It is helpful for size reduction and wide angle. 
     The optical image capturing system of the present invention satisfies 0.1≦ΣTP/InTL≦0.9, where InTL is a distance between the object-side surface of the first lens and the image-side surface of the seventh lens, and ETP is a sum of central thicknesses of the lenses on the optical axis. It is helpful for the contrast of image and yield rate of manufacture and provides a suitable back focal length for installation of other elements. 
     The optical image capturing system of the present invention satisfies 0.001≦|R1/R2|≦20, and a preferable range is 0.01≦|R1/R2|&lt;10, where R1 is a radius of curvature of the object-side surface of the first lens, and R2 is a radius of curvature of the image-side surface of the first lens. It provides the first lens with a suitable positive refractive power to reduce the increase rate of the spherical aberration. 
     The optical image capturing system of the present invention satisfies −7&lt;(R11−R12)/(R11+R12)&lt;50, where R13 is a radius of curvature of the object-side surface of the seventh lens, and R14 is a radius of curvature of the image-side surface of the seventh lens. It may modify the astigmatic field curvature. 
     The optical image capturing system of the present invention satisfies IN12/f≦3.0, where IN12 is a distance on the optical axis between the first lens and the second lens. It may correct chromatic aberration and improve the performance. 
     The optical image capturing system of the present invention satisfies IN67/f≦0.8, where IN67 is a distance on the optical axis between the sixth lens and the seventh lens. It may correct chromatic aberration and improve the performance. 
     The optical image capturing system of the present invention satisfies 0.1≦(TP1+IN12)/TP2≦10, where TP1 is a central thickness of the first lens on the optical axis, and TP2 is a central thickness of the second lens on the optical axis. It may control the sensitivity of manufacture of the system and improve the performance. 
     The optical image capturing system of the present invention satisfies 0.1≦(TP7+IN67)/TP6≦10, where TP6 is a central thickness of the sixth lens on the optical axis, TP7 is a central thickness of the seventh lens on the optical axis, and IN67 is a distance between the sixth lens and the seventh 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≦TP4/(IN34+TP4+IN45)≦1, where TP3 is a central thickness of the third lens on the optical axis, TP4 is a central thickness of the fourth lens on the optical axis, TP5 is a central thickness of the fifth lens on the optical axis, IN34 is a distance on the optical axis between the third lens and the fourth lens, IN45 is a distance on the optical axis between the fourth lens and the fifth lens, and InTL is a distance between the object-side surface of the first lens and the image-side surface of the seventh lens. It may fine tune and correct the aberration of the incident rays layer by layer, and reduce the height of the system. 
     The optical image capturing system satisfies 0 mm≦HVT71≦3 mm; 0 mm&lt;HVT72≦6 mm; 0≦HVT71/HVT72; 0 mm≦|SGC71|≦0.5 mm; 0 mm≦|SGC72|≦2 mm; and 0&lt;|SGC72|/(|SGC72|+TP7)≦0.9, where HVT71 a distance perpendicular to the optical axis between the critical point C71 on the object-side surface of the seventh lens and the optical axis; HVT72 a distance perpendicular to the optical axis between the critical point C72 on the image-side surface of the seventh lens and the optical axis; SGC71 is a distance on the optical axis between a point on the object-side surface of the seventh lens where the optical axis passes through and a point where the critical point C71 projects on the optical axis; SGC72 is a distance on the optical axis between a point on the image-side surface of the seventh lens where the optical axis passes through and a point where the critical point C72 projects on the optical axis. It is helpful to correct the off-axis view field aberration. 
     The optical image capturing system satisfies 0.2≦HVT72/HOI≦0.9, and preferably satisfies 0.3≦HVT72/HOI≦0.8. It may help to correct the peripheral aberration. 
     The optical image capturing system satisfies 0≦HVT72/HOS≦0.5, and preferably satisfies 0.2≦HVT72/HOS≦0.45. It may help to correct the peripheral aberration. 
     The optical image capturing system of the present invention satisfies 0&lt;SGI711/(SGI711+TP7)≦0.9; 0&lt;SGI721/(SGI721+TP7)≦0.9, and it is preferable to satisfy 0.1≦SGI711/(SGI711+TP7)≦0.6; 0.1≦SGI721/(SGI721+TP7)≦0.6, where SGI711 is a displacement on the optical axis from a point on the object-side surface of the seventh lens, through which the optical axis passes, to a point where the inflection point on the object-side surface, which is the closest to the optical axis, projects on the optical axis, and SGI721 is a displacement on the optical axis from a point on the image-side surface of the seventh lens, through which the optical axis passes, to a point where the inflection point on the image-side surface, which is the closest to the optical axis, projects on the optical axis. 
     The optical image capturing system of the present invention satisfies 0&lt;SGI712/(SGI712+TP7)≦0.9; 0&lt;SGI722/(SGI722+TP7)≦0.9, and it is preferable to satisfy 0.1≦SGI712/(SGI712+TP7)≦0.6; 0.1≦SGI722/(SGI722+TP7)≦0.6, where SGI712 is a displacement on the optical axis from a point on the object-side surface of the seventh lens, through which the optical axis passes, to a point where the inflection point on the object-side surface, which is the second closest to the optical axis, projects on the optical axis, and SGI722 is a displacement on the optical axis from a point on the image-side surface of the seventh lens, through which the optical axis passes, to a point where the inflection point on the image-side surface, which is the second closest to the optical axis, projects on the optical axis. 
     The optical image capturing system of the present invention satisfies 0.001 mm≦|HIF711|≦5 mm; 0.001 mm≦|HIF721|≦5 mm, and it is preferable to satisfy 0.1 mm≦|HIF711|≦3.5 mm; 1.5 mm≦|HIF721|≦3.5 mm, where HIF711 is a distance perpendicular to the optical axis between the inflection point on the object-side surface of the seventh lens, which is the closest to the optical axis, and the optical axis; HIF721 is a distance perpendicular to the optical axis between the inflection point on the image-side surface of the seventh lens, which is the closest to the optical axis, and the optical axis. 
     The optical image capturing system of the present invention satisfies 0.001 mm≦|HIF712|≦5 mm; 0.001 mm≦|HIF722|≦5 mm, and it is preferable to satisfy 0.1 mm≦|HIF722|≦3.5 mm; 0.1 mm≦|HIF712|≦3.5 mm, where HIF712 is a distance perpendicular to the optical axis between the inflection point on the object-side surface of the seventh lens, which is the second closest to the optical axis, and the optical axis; HIF722 is a distance perpendicular to the optical axis between the inflection point on the image-side surface of the seventh lens, which is the second closest to the optical axis, and the optical axis. 
     The optical image capturing system of the present invention satisfies 0.001 mm≦|HIF713|≦5 mm; 0.001 mm≦|HIF723|≦5 mm, and it is preferable to satisfy 0.1 mm≦|HIF723|≦3.5 mm; 0.1 mm≦|HIF713|≦3.5 mm, where HIF713 is a distance perpendicular to the optical axis between the inflection point on the object-side surface of the seventh lens, which is the third closest to the optical axis, and the optical axis; HIF723 is a distance perpendicular to the optical axis between the inflection point on the image-side surface of the seventh lens, which is the third closest to the optical axis, and the optical axis. 
     The optical image capturing system of the present invention satisfies 0.001 mm≦|HIF714|≦5 mm; 0.001 mm≦|HIF724|≦5 mm, and it is preferable to satisfy 0.1 mm≦|HIF724|≦3.5 mm; 0.1 mm≦|HIF714|≦3.5 mm, where HIF714 is a distance perpendicular to the optical axis between the inflection point on the object-side surface of the seventh lens, which is the fourth closest to the optical axis, and the optical axis; HIF724 is a distance perpendicular to the optical axis between the inflection point on the image-side surface of the seventh lens, which is the fourth closest to the optical axis, and the optical axis. 
     In an embodiment, the lenses of high Abbe number and the lenses of low Abbe number are arranged in an interlaced arrangement that could be helpful for correction of aberration of the system. 
     An equation of aspheric surface is
 
 z=ch   2 /[1+[1( k+ 1) c   2   h   2 ] 0.5   ]+A 4 h   4   +A 6 h   6   +A 8 h   8   +A 10 h   10   +A 12 h   12   +A 14 h   14   +A 16  h   16   +A 18 h   18   +A 20 h   20 + . . .  (1)
 
     where z is a depression of the aspheric surface; k is conic constant; c is reciprocal of the radius of curvature; and A4, A6, A8, A10, A12, A14, A16, A18, and A20 are high-order aspheric coefficients. 
     In the optical image capturing system, the lenses could be made of plastic or glass. The plastic lenses may reduce the weight and lower the cost of the system, and the glass lenses may control the thermal effect and enlarge the space for arrangement of the refractive power of the system. In addition, the opposite surfaces (object-side surface and image-side surface) of the first to the seventh lenses could be aspheric that can obtain more control parameters to reduce aberration. The number of aspheric glass lenses could be less than the conventional spherical glass lenses, which is helpful for reduction of the height of the system. 
     When the lens has a convex surface, which means that the surface is convex around a position, through which the optical axis passes, and when the lens has a concave surface, which means that the surface is concave around a position, through which the optical axis passes. 
     The optical image capturing system of the present invention could be applied in a dynamic focusing optical system. It is superior in the correction of aberration and high imaging quality so that it could be allied in lots of fields. 
     The optical image capturing system of the present invention could further include a driving module to meet different demands, wherein the driving module can be coupled with the lenses to move the lenses. The driving module can be a voice coil motor (VCM), which is used to move the lens for focusing, or can be an optical image stabilization (OIS) component, which is used to lower the possibility of having the problem of image blurring which is caused by subtle movements of the lens while shooting. 
     To meet different requirements, at least one lens among the first lens to the seventh lens of the optical image capturing system of the present invention can be a light filter, which filters out light of wavelength shorter than 500 nm. Such effect can be achieved by coating on at least one surface of the lens, or by using materials capable of filtering out short waves to make the lens. 
     To meet different requirements, the image plane of the optical image capturing system in the present invention can be either flat or curved. If the image plane is curved (e.g., a sphere with a radius of curvature), the incidence angle required for focusing light on the image plane can be decreased, which is not only helpful to shorten the length of the system (TTL), but also helpful to increase the relative illuminance. 
     We provide several embodiments in conjunction with the accompanying drawings for the best understanding, which are: 
     First Embodiment 
     As shown in  FIG. 1A  and  FIG. 1B , an optical image capturing system  10  of the first embodiment of the present invention includes, along an optical axis from an object side to an image side, a first lens  110 , an aperture  100 , a second lens  120 , a third lens  130 , a fourth lens  140 , a fifth lens  150 , a sixth lens  160 , a seventh lens  170 , an infrared rays filter  180 , an image plane  190 , and an image sensor  192 .  FIG. 1C  shows a tangential fan and a sagittal fan of the optical image capturing system  10  of the first embodiment of the present application, and a transverse aberration diagram at 0.7 field of view when a longest operation wavelength and a shortest operation wavelength pass through an edge of the aperture  100 .  FIG. 1D  is a diagram showing the through-focus MTF values of the visible light spectrum at the central field of view, 0.3 field of view, and 0.7 field of view of the first embodiment of the present invention.  FIG. 1E  is a diagram showing the through-focus MTF values of the infrared light spectrum at the central field of view, 0.3 field of view, and 0.7 field of view of the first embodiment of the present disclosure. 
     The first lens  110  has negative refractive power and is made of plastic. An object-side surface  112  thereof, which faces the object side, is a concave aspheric surface, and an image-side surface  114  thereof, which faces the image side, is a concave aspheric surface. The object-side surface  112  has an inflection point thereon, and the image-side surface  114  has two inflection points. A profile curve length of the maximum effective half diameter of an object-side surface of the first lens  110  is denoted by ARS11, and a profile curve length of the maximum effective half diameter of the image-side surface of the first lens  110  is denoted by ARS12. A profile curve length of a half of an entrance pupil diameter (HEP) of the object-side surface of the first lens  110  is denoted by ARE11, and a profile curve length of a half of the entrance pupil diameter (HEP) of the image-side surface of the first lens  110  is denoted by ARE12. A thickness of the first lens  110  on the optical axis is TP1. 
     The first lens satisfies SGI111=−0.1110 mm; SGI121=2.7120 mm; TP1=2.2761 mm; |SGI111|/(|SGI111|+TP1)=0.0465; |SGI1211/(|SGI121|+TP1)=0.5437, where SGI111 is a displacement on the optical axis from a point on the object-side surface of the first lens, through which the optical axis passes, to a point where the inflection point on the object-side surface, which is the closest to the optical axis, projects on the optical axis, and SGI121 is a displacement on the optical axis from a point on the image-side surface of the first lens, through which the optical axis passes, to a point where the inflection point on the image-side surface, which is the closest to the optical axis, projects on the optical axis. 
     The first lens satisfies SGI112=0 mm; SGI122=4.2315 mm; |SGI112|/(|SGI112|+TP1)=0; |SGI122|/(|SGI122|+TP1)=0.6502, where SGI112 is a displacement on the optical axis from a point on the object-side surface of the first lens, through which the optical axis passes, to a point where the inflection point on the object-side surface, which is the second closest to the optical axis, projects on the optical axis, and SGI121 is a displacement on the optical axis from a point on the image-side surface of the first lens, through which the optical axis passes, to a point where the inflection point on the image-side surface, which is the second closest to the optical axis, projects on the optical axis. 
     The first lens satisfies HIF111=12.8432 mm; HIF111/HOI=1.7127; HIF121=7.1744 mm; HIF121/HOI=0.9567, 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 first lens satisfies HIF112=0 mm; HIF112/HOI=0; HIF122=9.8592 mm; HIF122/HOI=1.3147, where HIF112 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 second closest to the optical axis; HIF122 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 second closest to the optical axis. 
     The second lens  120  has positive refractive power and is made of plastic. An object-side surface  122  thereof, which faces the object side, is a convex aspheric surface, and an image-side surface  124  thereof, which faces the image side, is a concave aspheric surface. A profile curve length of the maximum effective half diameter of an object-side surface of the second lens  120  is denoted by ARS21, and a profile curve length of the maximum effective half diameter of the image-side surface of the second lens  120  is denoted by ARS22. A profile curve length of a half of an entrance pupil diameter (REP) of the object-side surface of the second lens  120  is denoted by ARE21, and a profile curve length of a half of the entrance pupil diameter (HEP) of the image-side surface of the second lens  120  is denoted by ARE22. A thickness of the second lens  120  on the optical axis is TP2. 
     For the second lens, a displacement on the optical axis from a point on the object-side surface of the second lens, through which the optical axis passes, to a point where the inflection point on the image-side surface, which is the closest to the optical axis, projects on the optical axis, is denoted by SGI211, and a displacement on the optical axis from a point on the image-side surface of the second lens, through which the optical axis passes, to a point where the inflection point on the image-side surface, which is the closest to the optical axis, projects on the optical axis is denoted by SGI221. 
     For the second lens, a displacement perpendicular to the optical axis from a point on the object-side surface of the second lens, through which the optical axis passes, to the inflection point, which is the closest to the optical axis is denoted by HIF211, and a displacement perpendicular to the optical axis from a point on the image-side surface of the second lens, through which the optical axis passes, to the inflection point, which is the closest to the optical axis is denoted by HIF221. 
     The third lens  130  has negative refractive power and is made of plastic. An object-side surface  132 , which faces the object side, is a convex aspheric surface, and an image-side surface  134 , which faces the image side, is a concave aspheric surface. A profile curve length of the maximum effective half diameter of an object-side surface of the third lens  130  is denoted by ARS31, and a profile curve length of the maximum effective half diameter of the image-side surface of the third lens  130  is denoted by ARS32. A profile curve length of a half of an entrance pupil diameter (HEP) of the object-side surface of the third lens  130  is denoted by ARE31, and a profile curve length of a half of the entrance pupil diameter (HEP) of the image-side surface of the third lens  130  is denoted by ARS32. A thickness of the third lens  130  on the optical axis is TP3. 
     For the third lens  130 , SGI311 is a displacement on the optical axis from a point on the object-side surface of the third lens, through which the optical axis passes, to a point where the inflection point on the object-side surface, which is the closest to the optical axis, projects on the optical axis, and SGI321 is a displacement on the optical axis from a point on the image-side surface of the third lens, through which the optical axis passes, to a point where the inflection point on the image-side surface, which is the closest to the optical axis, projects on the optical axis. 
     For the third lens  130 , SGI312 is a displacement on the optical axis from a point on the object-side surface of the third lens, through which the optical axis passes, to a point where the inflection point on the object-side surface, which is the second closest to the optical axis, projects on the optical axis, and SGI322 is a displacement on the optical axis from a point on the image-side surface of the third lens, through which the optical axis passes, to a point where the inflection point on the object-side surface, which is the second closest to the optical axis, projects on the optical axis. 
     For the third lens  130 , HIF311 is a distance perpendicular to the optical axis between the inflection point on the object-side surface of the third lens, which is the closest to the optical axis, and the optical axis; HIF321 is a distance perpendicular to the optical axis between the inflection point on the image-side surface of the third lens, which is the closest to the optical axis, and the optical axis. 
     For the third lens  130 , HIF312 is a distance perpendicular to the optical axis between the inflection point on the object-side surface of the third lens, which is the second closest to the optical axis, and the optical axis; HIF322 is a distance perpendicular to the optical axis between the inflection point on the image-side surface of the third lens, which is the second closest to the optical axis, and the optical axis. 
     The fourth lens  140  has positive refractive power and is made of plastic. An object-side surface  142 , which faces the object side, is a convex aspheric surface, and an image-side surface  144 , which faces the image side, is a convex aspheric surface. The object-side surface  142  has an inflection point. A profile curve length of the maximum effective half diameter of an object-side surface of the fourth lens  140  is denoted by ARS41, and a profile curve length of the maximum effective half diameter of the image-side surface of the fourth lens  140  is denoted by ARS42. A profile curve length of a half of an entrance pupil diameter (HEP) of the object-side surface of the fourth lens  140  is denoted by ARE41, and a profile curve length of a half of the entrance pupil diameter (HEP) of the image-side surface of the fourth lens  140  is denoted by ARS42. A thickness of the fourth lens  140  on the optical axis is TP4. 
     The fourth lens  140  satisfies SGI411=0.0018 mm; |SGI411|/(|SGI411|+TP4)=0.0009, where SGI411 is a displacement on the optical axis from a point on the object-side surface of the fourth lens, through which the optical axis passes, to a point where the inflection point on the object-side surface, which is the closest to the optical axis, projects on the optical axis, and SGI421 is a displacement on the optical axis from a point on the image-side surface of the fourth lens, through which the optical axis passes, to a point where the inflection point on the image-side surface, which is the closest to the optical axis, projects on the optical axis. 
     For the fourth lens  140 , SGI412 is a displacement on the optical axis from a point on the object-side surface of the fourth lens, through which the optical axis passes, to a point where the inflection point on the object-side surface, which is the second closest to the optical axis, projects on the optical axis, and SGI422 is a displacement on the optical axis from a point on the image-side surface of the fourth lens, through which the optical axis passes, to a point where the inflection point on the object-side surface, which is the second closest to the optical axis, projects on the optical axis. 
     The fourth lens  140  further satisfies HIF411=0.7191 mm; HIF411/HOI=0.0959, where HIF411 is a distance perpendicular to the optical axis between the inflection point on the object-side surface of the fourth lens, which is the closest to the optical axis, and the optical axis; HIF421 is a distance perpendicular to the optical axis between the inflection point on the image-side surface of the fourth lens, which is the closest to the optical axis, and the optical axis. 
     For the fourth lens  140 , HIF412 is a distance perpendicular to the optical axis between the inflection point on the object-side surface of the fourth lens, which is the second closest to the optical axis, and the optical axis; HIF422 is a distance perpendicular to the optical axis between the inflection point on the image-side surface of the fourth lens, which is the second closest to the optical axis, and the optical axis. 
     The fifth lens  150  has positive refractive power and is made of plastic. An object-side surface  152 , which faces the object side, is a concave aspheric surface, and an image-side surface  154 , which faces the image side, is a convex aspheric surface. The object-side surface  152  and the image-side surface  154  both have an inflection point. A profile curve length of the maximum effective half diameter of an object-side surface of the fifth lens  150  is denoted by ARS51, and a profile curve length of the maximum effective half diameter of the image-side surface of the fifth lens  150  is denoted by ARS52. A profile curve length of a half of an entrance pupil diameter (HEP) of the object-side surface of the fifth lens  150  is denoted by ARE51, and a profile curve length of a half of the entrance pupil diameter (HEP) of the image-side surface of the fifth lens  150  is denoted by ARE52. A thickness of the fifth lens  150  on the optical axis is TP5. 
     The fifth lens  150  satisfies SGI511=−0.1246 mm; SGI521=−2.1477 mm; |SGI511|/(|SGI511|+TP5)=0.0284; |SGI521|/(|SGI521|+TP5)=0.3346, where SGI511 is a displacement on the optical axis from a point on the object-side surface of the fifth lens, through which the optical axis passes, to a point where the inflection point on the object-side surface, which is the closest to the optical axis, projects on the optical axis, and SGI521 is a displacement on the optical axis from a point on the image-side surface of the fifth lens, through which the optical axis passes, to a point where the inflection point on the image-side surface, which is the closest to the optical axis, projects on the optical axis. 
     For the fifth lens  150 , SGI512 is a displacement on the optical axis from a point on the object-side surface of the fifth lens, through which the optical axis passes, to a point where the inflection point on the object-side surface, which is the second closest to the optical axis, projects on the optical axis, and SGI522 is a displacement on the optical axis from a point on the image-side surface of the fifth lens, through which the optical axis passes, to a point where the inflection point on the object-side surface, which is the second closest to the optical axis, projects on the optical axis. 
     The fifth lens  150  further satisfies HIF511=3.8179 mm; HIF521=4.5480 mm; HIF511/HOI=0.5091; HIF521/HOI=0.6065, where HIF511 is a distance perpendicular to the optical axis between the inflection point on the object-side surface of the fifth lens, which is the closest to the optical axis, and the optical axis; HIF521 is a distance perpendicular to the optical axis between the inflection point on the image-side surface of the fifth lens, which is the closest to the optical axis, and the optical axis. 
     For the fifth lens  150 , HIF512 is a distance perpendicular to the optical axis between the inflection point on the object-side surface of the fifth lens, which is the second closest to the optical axis, and the optical axis; HIF522 is a distance perpendicular to the optical axis between the inflection point on the image-side surface of the fifth lens, which is the second closest to the optical axis, and the optical axis. 
     The sixth lens  160  has negative refractive power and is made of plastic. An object-side surface  162 , which faces the object side, is a convex surface, and an image-side surface  164 , which faces the image side, is a concave surface. The object-side surface  162  and the image-side surface  164  both have an inflection point, which could adjust the incident angle of each view field to improve aberration. A profile curve length of the maximum effective half diameter of an object-side surface of the sixth lens  160  is denoted by ARS61, and a profile curve length of the maximum effective half diameter of the image-side surface of the sixth lens  160  is denoted by ARS62. A profile curve length of a half of an entrance pupil diameter (HEP) of the object-side surface of the sixth lens  160  is denoted by ARE61, and a profile curve length of a half of the entrance pupil diameter (HEP) of the image-side surface of the sixth lens  160  is denoted by ARE62. A thickness of the sixth lens  160  on the optical axis is TP6. 
     The sixth lens  160  satisfies SGI611=0.3208 mm; SGI621=0.5937 mm; |SGI611|/(|SGI611|+TP6)=0.5167; |SGI6211/(|SGI621|+TP6)=0.6643, where SGI611 is a displacement on the optical axis from a point on the object-side surface of the sixth lens, through which the optical axis passes, to a point where the inflection point on the object-side surface, which is the closest to the optical axis, projects on the optical axis, and SGI621 is a displacement on the optical axis from a point on the image-side surface of the sixth lens, through which the optical axis passes, to a point where the inflection point on the image-side surface, which is the closest to the optical axis, projects on the optical axis. 
     The sixth lens  160  further satisfies HIF611=1.9655 mm; HIF621=2.0041 mm; HIF611/HOI=0.2621; HIF621/HOI=0.2672, where HIF611 is a distance perpendicular to the optical axis between the inflection point on the object-side surface of the sixth lens, which is the closest to the optical axis, and the optical axis; HIF621 is a distance perpendicular to the optical axis between the inflection point on the image-side surface of the sixth lens, which is the closest to the optical axis, and the optical axis. 
     The seventh lens  170  has positive refractive power and is made of plastic. An object-side surface  172 , which faces the object side, is a convex surface, and an image-side surface  174 , which faces the image side, is a concave surface. This would help to shorten the back focal length, whereby to keep the optical image capturing system miniaturized. The object-side surface  172  and the image-side surface  174  both have an inflection point. A profile curve length of the maximum effective half diameter of an object-side surface of the seventh lens  170  is denoted by ARS71, and a profile curve length of the maximum effective half diameter of the image-side surface of the seventh lens  170  is denoted by ARS72. A profile curve length of a half of an entrance pupil diameter (HEP) of the object-side surface of the seventh lens  170  is denoted by ARE71, and a profile curve length of a half of the entrance pupil diameter (HEP) of the image-side surface of the seventh lens  170  is denoted by ARE72. A thickness of the seventh lens  170  on the optical axis is TP7. 
     The seventh lens  170  satisfies SGI711=0.5212 mm; SG172|=0.5668 mm; |SGI711|/(|SGI7111+TP7)=0.3179; |SGI7211/(|SGI7211+TP7)=0.3364, where SGI711 is a displacement on the optical axis from a point on the object-side surface of the seventh lens, through which the optical axis passes, to a point where the inflection point on the object-side surface, which is the closest to the optical axis, projects on the optical axis, and SGI721 is a displacement on the optical axis from a point on the image-side surface of the seventh lens, through which the optical axis passes, to a point where the inflection point on the image-side surface, which is the closest to the optical axis, projects on the optical axis. 
     The seventh lens  170  further satisfies HIF711=1.6707 mm; HIF721=1.8616 mm; HIF711/HOI=0.2228; HIF721/HOI=0.2482, where HIF711 is a distance perpendicular to the optical axis between the inflection point on the object-side surface of the seventh lens, which is the closest to the optical axis, and the optical axis; HIF721 is a distance perpendicular to the optical axis between the inflection point on the image-side surface of the seventh lens, which is the closest to the optical axis, and the optical axis. 
     The infrared rays filter  180  is made of glass and between the seventh lens  170  and the image plane  190 . The infrared rays filter  180  gives no contribution to the focal length of the system. 
     The optical image capturing system  10  of the first embodiment has the following parameters, which are f=4.3019 mm; f/HEP=1.2; HAF=59.9968 deg; and tan(HAF)=1.7318, where f is a focal length of the system; HAF is a half of the maximum field angle; and REP is an entrance pupil diameter. 
     The parameters of the lenses of the first embodiment are f1=−14.5286 mm; |f/f1|=0.2961; f7=8.2933; |f1|&gt;f7; and |f1/f7|=1.7519, where f1 is a focal length of the first lens  110 ; and f7 is a focal length of the seventh lens  170 . 
     The first embodiment further satisfies |f2|+|f3|+|f4|+|f5|+|f6|=144.7494; |f1|+|f7|=22.8219 and |f2|+|f3|+|f4|+|f5|+|f6|&gt;|f1|+|f7|, where f2 is a focal length of the second lens  120 , f3 is a focal length of the third lens  130 , f4 is a focal length of the fourth lens  140 , f5 is a focal length of the fifth lens  150 , and f6 is a focal length of the sixth lens  160 . 
     The optical image capturing system  10  of the first embodiment further satisfies ΣPPR=f/f2+f/f4+f/f5+f/f7=1.7384; ΣNPR=f/f1+f/f3+f/f6=−0.9999; ΣPPR/|ΣNPR|=1.7386; |f/f2|=0.1774; |f/f31=0.0443; |f/f4|=0.4411; |f/f5|=0.6012; |f/f6|=0.6595; |f/f7|=0.5187, where PPR is a ratio of a focal length fp 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 fn of the optical image capturing system to a focal length fn of each of lenses with negative refractive power. 
     The optical image capturing system  10  of the first embodiment further satisfies InTL+BFL=HOS; HOS=26.9789 mm; HOI=7.5 mm; HOS/HOI=3.5977; HOS/f=6.2715; InS=12.4615 mm; and InS/HOS=0.4619, where InTL is a distance between the object-side surface  112  of the first lens  110  and the image-side surface  174  of the seventh lens  170 ; HOS is a height of the image capturing system, i.e. a distance between the object-side surface  112  of the first lens  110  and the image plane  190 ; InS is a distance between the aperture  100  and the image plane  190 ; HOI is a half of a diagonal of an effective sensing area of the image sensor  192 , i.e., the maximum image height; and BFL is a distance between the image-side surface  174  of the seventh lens  170  and the image plane  190 . 
     The optical image capturing system  10  of the first embodiment further satisfies ΣTP=16.0446 mm; and ΣTP/InTL=0.6559, where ΣTP is a sum of the thicknesses of the lenses  110 - 150  with refractive power. It is helpful for the contrast of image and yield rate of manufacture and provides a suitable back focal length for installation of other elements. 
     The optical image capturing system  10  of the first embodiment further satisfies |R1/R2|=129.9952, where R1 is a radius of curvature of the object-side surface  112  of the first lens  110 , and R2 is a radius of curvature of the image-side surface  114  of the first lens  110 . It provides the first lens with a suitable positive refractive power to reduce the increase rate of the spherical aberration. 
     The optical image capturing system  10  of the first embodiment further satisfies (R13−R14)/(R13+R14)=−0.0806, where R13 is a radius of curvature of the object-side surface  172  of the seventh lens  170 , and R14 is a radius of curvature of the image-side surface  174  of the seventh lens  170 . It may modify the astigmatic field curvature. 
     The optical image capturing system  10  of the first embodiment further satisfies ΣPP=f2+f4+f5+f7=49.4535 mm; and f4/(f2+f4+f5+f7)=0.1972, where ΣPP is a sum of the focal length fp of each lens with positive refractive power. It is helpful to share the positive refractive power of the fourth lens  140  to other positive lenses to avoid the significant aberration caused by the incident rays. 
     The optical image capturing system  10  of the first embodiment further satisfies ΣNP=f1+f3+f6=−118.1178 mm; and f1/(f1+f3+f6)=0.1677, where ΣNP is a sum of the focal length fn of each lens with negative refractive power. It is helpful to share the negative refractive power of the first lens  110  to other negative lenses, which avoids the significant aberration caused by the incident rays. 
     The optical image capturing system  10  of the first embodiment further satisfies IN12=4.5524 mm; IN12/f=1.0582, where IN12 is a distance on the optical axis between the first lens  110  and the second lens  120 . It may correct chromatic aberration and improve the performance. 
     The optical image capturing system  10  of the first embodiment further satisfies TP1=2.2761 mm; TP2=0.2398 mm; and (TP1+IN12)/TP2=1.3032, 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  10  of the first embodiment further satisfies TP6=0.3000 mm; TP7=1.1182 mm; and (TP7+IN67)/TP6=4.4322, where TP6 is a central thickness of the sixth lens  160  on the optical axis, TP7 is a central thickness of the seventh lens  170  on the optical axis, and IN67 is a distance on the optical axis between the sixth lens  160  and the seventh lens  170 . It may control the sensitivity of manufacture of the system and lower the total height of the system. 
     The optical image capturing system  10  of the first embodiment further satisfies TP3=0.8369 mm; TP4=2.0022 mm; TP5=4.2706 mm; IN34=1.9268 mm; IN45=1.5153 mm; and TP4/(IN34+TP4+IN45)=0.3678, 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, TP5 is a central thickness of the fifth lens  150  on the optical axis, IN34 is a distance on the optical axis between the third lens  130  and the fourth lens  140 , IN45 is a distance on the optical axis between the fourth lens  140  and the fifth lens  150 , and InTL is a distance from the object-side surface  112  of the first lens  110  to the image-side surface  174  of the seventh lens  170  on the optical axis. It may control the sensitivity of manufacture of the system and lower the total height of the system. 
     The optical image capturing system  10  of the first embodiment further satisfies InRS61=−0.7823 mm; InRS62=−0.2166 mm; and ∥nRS62|/TP6=0.722, where InRS61 is a displacement from a point on the object-side surface  162  of the sixth lens  160  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  162  of the sixth lens  160  ends; InRS62 is a displacement from a point on the image-side surface  166  of the sixth lens  160  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  166  of the sixth lens  160  ends; and TP6 is a central thickness of the sixth lens  160  on the optical axis. It is helpful for manufacturing and shaping of the lenses and is helpful to reduce the size. 
     The optical image capturing system  10  of the first embodiment further satisfies HVT61=3.3498 mm; HVT62=3.9860 mm; and HVT61/HVT62=0.8404, where HVT61 is a distance perpendicular to the optical axis between the critical point on the object-side surface  162  of the sixth lens and the optical axis; and HVT62 is a distance perpendicular to the optical axis between the critical point on the image-side surface  166  of the sixth lens and the optical axis. 
     The optical image capturing system  10  of the first embodiment further satisfies InRS71=−0.2756 mm; InRS72=−0.0938 mm; and |InRS72|/TP7=0.0839, where InRS71 is a displacement from a point on the object-side surface  172  of the seventh lens  170  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  172  of the seventh lens  170  ends; InRS72 is a displacement from a point on the image-side surface  174  of the seventh lens  170  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  174  of the seventh lens  170  ends; and TP7 is a central thickness of the seventh lens  170  on the optical axis. It is helpful for manufacturing and shaping of the lenses and is helpful to reduce the size. 
     The optical image capturing system  10  of the first embodiment satisfies HVT71=3.6822 mm; HVT72=4.0606 mm; and HVT71/HVT72=0.9068, where HVT71 a distance perpendicular to the optical axis between the critical point on the object-side surface  172  of the seventh lens and the optical axis; and HVT72 a distance perpendicular to the optical axis between the critical point on the image-side surface  174  of the seventh lens and the optical axis. 
     The optical image capturing system  10  of the first embodiment satisfies HVT72/HOI=0.5414. It is helpful for correction of the aberration of the peripheral view field of the optical image capturing system. 
     The optical image capturing system  10  of the first embodiment satisfies HVT72/HOS=0.1505. It is helpful for correction of the aberration of the peripheral view field of the optical image capturing system. 
     The second lens  120 , the third lens  130 , and the seventh lens  170  have negative refractive power. The optical image capturing system  10  of the first embodiment further satisfies 1≦NA7/NA2, where NA2 is an Abbe number of the second lens  120 ; NA3 is an Abbe number of the third lens  130 ; and NA7 is an Abbe number of the seventh lens  170 . It may correct the aberration of the optical image capturing system. 
     The optical image capturing system  10  of the first embodiment further satisfies |TDT|=2.5678%; |ODT|=2.1302%, where TDT is TV distortion; and ODT is optical distortion. 
     In the present embodiment, the lights of any field of view can be further divided into sagittal ray and tangential ray, and the spatial frequency of 220 cycles/mm serves as the benchmark for assessing the focus shifts and the values of MTF. The focus shifts where the through-focus MTF values of the visible sagittal ray at the central field of view, 0.3 field of view, and 0.7 field of view of the optical image capturing system are at their respective maxima are denoted by VSFS0, VSFS3, and VSFS7 (unit of measurement: mm), respectively. The values of VSFS0, VSFS3, and VSFS7 equal to 0.000 mm, −0.005 mm, and 0.000 mm, respectively. The maximum values of the through-focus MTF of the visible sagittal ray at the central field of view, 0.3 field of view, and 0.7 field of view are denoted by VSMTF0, VSMTF3, and VSMTF7, respectively. The values of VSMTF0, VSMTF3, and VSMTF7 equal to 0.886, 0.885, and 0.863, respectively. The focus shifts where the through-focus MTF values of the visible tangential ray at the central field of view, 0.3 field of view, and 0.7 field of view of the optical image capturing system are at their respective maxima, are denoted by VTFS0, VTFS3, and VTFS7 (unit of measurement: mm), respectively. The values of VTFS0, VTFS3, and VTFS7 equal to 0.000 mm, 0.001 mm, and −0.005 mm, respectively. The maximum values of the through-focus MTF of the visible tangential ray at the central field of view, 0.3 field of view, and 0.7 field of view are denoted by VTMTF0, VTMTF3, and VTMTF7, respectively. The values of VTMTF0, VTMTF3, and VTMTF7 equal to 0.886, 0.868, and 0.796, respectively. The average focus shift (position) of both the aforementioned focus shifts of the visible sagittal ray at three fields of view and focus shifts of the visible tangential ray at three fields of view is denoted by AVFS (unit of measurement: mm), which satisfies the absolute value |(VSFS0+VSFS3+VSFS7+VTFS0+VTFS3+VTFS7)/6|=|0.000 mm|. 
     The focus shifts where the through-focus MTF values of the infrared sagittal ray at the central field of view, 0.3 field of view, and 0.7 field of view of the optical image capturing system are at their respective maxima, are denoted by ISFS0, ISFS3, and ISFS7 (unit of measurement: mm), respectively. The values of ISFS0, ISFS3, and ISFS7 equal to 0.025 mm, 0.020 mm, and 0.020 mm, respectively. The average focus shift (position) of the aforementioned focus shifts of the infrared sagittal ray at three fields of view is denoted by AISFS (unit of measurement: mm). The maximum values of the through-focus MTF of the infrared sagittal ray at the central field of view, 0.3 field of view, and 0.7 field of view are denoted by ISMTF0, ISMTF3, and ISMTF7, respectively. The values of ISMTF0, ISMTF3, and ISMTF7 equal to 0.787, 0.802, and 0.772, respectively. The focus shifts where the through-focus MTF values of the infrared tangential ray at the central field of view, 0.3 field of view, and 0.7 field of view of the optical image capturing system are at their respective maxima, are denoted by ITFS0, ITFS3, and ITFS7 (unit of measurement: mm), respectively. The values of ITFS0, ITFS3, and ITFS7 equal to 0.025, 0.035, and 0.035, respectively. The average focus shift (position) of the aforementioned focus shifts of the infrared tangential ray at three fields of view is denoted by AITFS (unit of measurement: mm). The maximum values of the through-focus MTF of the infrared tangential ray at the central field of view, 0.3 field of view, and 0.7 field of view are denoted by ITMTF0, ITMTF3, and ITMTF7, respectively. The values of ITMTF0, ITMTF3, and ITMTF7 equal to 0.787, 0.805, and 0.721, respectively. The average focus shift (position) of both of the aforementioned focus shifts of the infrared sagittal ray at the three fields of view and focus shifts of the infrared tangential ray at the three fields of view is denoted by AIFS (unit of measurement: mm), which equals to the absolute value of |(ISFS0+ISFS3+ISFS7+ITFS0+ITFS3+ITFS7)/6|=|0.02667 mm|. 
     The focus shift (difference) between the focal points of the visible light and the infrared light at their central fields of view (RGB/IR) of the entire optical image capturing system (i.e. wavelength of 850 nm versus wavelength of 555 nm, unit of measurement: mm) is denoted by FS (the distance between the first and second image planes on the optical axis), which satisfies the absolute value |(VSFS0+VTFS0)/2−(ISFS0+ITFS0)/2|=|0.025 mm|. The difference (focus shift) between the average focus shift of the visible light in the three fields of view and the average focus shift of the infrared light in the three fields of view (RGB/IR) of the entire optical image capturing system is denoted by AFS (i.e. wavelength of 850 nm versus wavelength of 555 nm, unit of measurement: mm), for which the absolute value of |AIFS−AVFS|=|0.02667 mm| is satisfied. 
     In the optical image capturing system  10  of the first embodiment, a transverse aberration at 0.7 field of view in the positive direction of the tangential fan after the shortest operation wavelength of visible light passing through the edge of the aperture  100  is denoted by PSTA, and is 0.00040 mm; a transverse aberration at 0.7 field of view in the positive direction of the tangential fan after the longest operation wavelength of visible light passing through the edge of the aperture  100  is denoted by PLTA, and is −0.009 mm; a transverse aberration at 0.7 field of view in the negative direction of the tangential fan after the shortest operation wavelength of visible light passing through the edge of the aperture  100  is denoted by NSTA, and is −0.002 mm; a transverse aberration at 0.7 field of view in the negative direction of the tangential fan after the longest operation wavelength of visible light passing through the edge of the aperture  100  is denoted by NLTA, and is −0.016 mm; a transverse aberration at 0.7 field of view of the sagittal fan after the shortest operation wavelength of visible light passing through the edge of the aperture  100  is denoted by SSTA, and is 0.018 mm; a transverse aberration at 0.7 field of view of the sagittal fan after the longest operation wavelength of visible light passing through the edge of the aperture  100  is denoted by SLTA, and is 0.016 mm. 
     The parameters of the lenses of the first embodiment are listed in Table 1 and Table 2. 
     
       
         
           
               
             
               
                 TABLE 1 
               
             
            
               
                   
               
               
                 f = 4.3019 mm; f/HEP = 1.2; HAF = 59.9968 deg 
               
            
           
           
               
               
               
               
               
               
               
            
               
                   
                   
                   
                   
                   
                   
                 Focal 
               
               
                   
                 Radius of curvature 
                 Thickness 
                   
                 Refractive 
                 Abbe 
                 length 
               
               
                 Surface 
                 (mm) 
                 (mm) 
                 Material 
                 index 
                 number 
                 (mm) 
               
               
                   
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                 0 
                 Object 
                 plane 
                 infinity 
                   
                   
                   
                   
               
               
                 1 
                 1 st  lens 
                 −1079.499964 
                 2.276 
                 plastic 
                 1.565 
                 58.00 
                 −14.53 
               
               
                 2 
                   
                 8.304149657 
                 4.552 
                   
                   
                   
                   
               
               
                 3 
                 2 nd  lens 
                 14.39130913 
                 5.240 
                 plastic 
                 1.650 
                 21.40 
                 24.25 
               
               
                 4 
                   
                 130.0869482 
                 0.162 
                   
                   
                   
                   
               
               
                 5 
                 3 rd  lens 
                 8.167310118 
                 0.837 
                 plastic 
                 1.650 
                 21.40 
                 −97.07 
               
               
                 6 
                   
                 6.944477468 
                 1.450 
                   
                   
                   
                   
               
               
                 7 
                 Aperture 
                 plane 
                 0.477 
                   
                   
                   
                   
               
               
                 8 
                 4 th  lens 
                 121.5965254 
                 2.002 
                 plastic 
                 1.565 
                 58.00 
                 9.75 
               
               
                 9 
                   
                 −5.755749302 
                 1.515 
                   
                   
                   
                   
               
               
                 10 
                 5 th  lens 
                 −86.27705938 
                 4.271 
                 plastic 
                 1.565 
                 58.00 
                 7.16 
               
               
                 11 
                   
                 −3.942936258 
                 0.050 
                   
                   
                   
                   
               
               
                 12 
                 6 th  lens 
                 4.867364751 
                 0.300 
                 plastic 
                 1.650 
                 21.40 
                 −6.52 
               
               
                 13 
                   
                 2.220604983 
                 0.211 
                   
                   
                   
                   
               
               
                 14 
                 7 th  lens 
                 1.892510651 
                 1.118 
                 plastic 
                 1.650 
                 21.40 
                 8.29 
               
               
                 15 
                   
                 2.224128115 
                 1.400 
                   
                   
                   
                   
               
               
                 16 
                 Infrared 
                 plane 
                 0.200 
                 BK_7 
                 1.517 
                 64.2 
                   
               
               
                   
                 rays 
                   
                   
                   
                   
                   
                   
               
               
                   
                 filter 
                   
                   
                   
                   
                   
                   
               
               
                 17 
                   
                 plane 
                 0.917 
                   
                   
                   
                   
               
               
                 18 
                 Image 
                 plane 
                   
                   
                   
                   
                   
               
               
                   
                 plane 
               
               
                   
               
               
                 Reference wavelength: 555 nm. 
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 2 
               
               
                   
               
               
                 Coefficients of the aspheric surfaces 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                 Surface 
                 1 
                 2 
                 3 
                 4 
                 5 
                 6 
                 8 
               
               
                   
               
               
                 k 
                   2.500000E+01 
                 −4.711931E−01 
                   1.531617E+00 
                 −1.153034E+01 
                 −2.915013E+00 
                   4.886991E+00 
                 −3.459463E+01 
               
               
                 A4 
                   5.236918E−06 
                 −2.117558E−04 
                   7.146736E−05 
                   4.353586E−04 
                   5.793768E−04 
                 −3.756697E−04 
                 −1.292614E−03 
               
               
                 A6 
                 −3.014384E−08 
                 −1.838670E−06 
                   2.334364E−06 
                   1.400287E−05 
                   2.112652E−04 
                   3.901218E−04 
                 −1.602381E−05 
               
               
                 A8 
                 −2.487400E−10 
                   9.605910E−09 
                 −7.479362E−08 
                 −1.688929E−07 
                 −1.344586E−05 
                 −4.925422E−05 
                 −8.452359E−06 
               
               
                 A10 
                   1.170000E−12 
                 −8.256000E−11 
                   1.701570E−09 
                   3.829807E−08 
                   1.000482E−06 
                   4.139741E−06 
                   7.243999E−07 
               
               
                 A12 
                   0.000000E+00 
                   0.000000E+00 
                   0.000000E+00 
                   0.000000E+00 
                   0.000000E+00 
                   0.000000E+00 
                   0.000000E+00 
               
               
                 A14 
                   0.000000E+00 
                   0.000000E+00 
                   0.000000E+00 
                   0.000000E+00 
                   0.000000E+00 
                   0.000000E+00 
                   0.000000E+00 
               
               
                   
               
               
                 Surface 
                 9 
                 10 
                 11 
                 12 
                 13 
                 14 
                 15 
               
               
                   
               
               
                 k 
                 −7.549291E+00 
                 −5.000000E+01 
                 −1.740728E+00 
                 −4.709650E+00 
                 −4.509781E+00 
                 −3.427137E+00 
                 −3.215123E+00 
               
               
                 A4 
                 −5.583548E−03 
                   1.240671E−04 
                   6.467538E−04 
                 −1.872317E−03 
                 −8.967310E−04 
                 −3.189453E−03 
                 −2.815022E−03 
               
               
                 A6 
                   1.947110E−04 
                 −4.949077E−05 
                 −4.981838E−05 
                 −1.523141E−05 
                 −2.688331E−05 
                 −1.058126E−05 
                   1.884580E−05 
               
               
                 A8 
                 −1.486947E−05 
                   2.088854E−06 
                   9.129031E−07 
                 −2.169414E−06 
                 −8.324958E−07 
                   1.760103E−06 
                 −1.017223E−08 
               
               
                 A10 
                 −6.501246E−08 
                 −1.438383E−08 
                   7.108550E−09 
                 −2.308304E−08 
                 −6.184250E−09 
                 −4.730294E−08 
                   3.660000E−12 
               
               
                 A12 
                   0.000000E+00 
                   0.000000E+00 
                   0.000000E+00 
                   0.000000E+00 
                   0.000000E+00 
                   0.000000E+00 
                   0.000000E+00 
               
               
                 A14 
                   0.000000E+00 
                   0.000000E+00 
                   0.000000E+00 
                   0.000000E+00 
                   0.000000E+00 
                   0.000000E+00 
                   0.000000E+00 
               
               
                   
               
            
           
         
       
     
     The figures related to the profile curve lengths obtained based on Table 1 and Table 2 are listed in the following table: 
     
       
         
           
               
             
               
                   
               
               
                 First embodiment (Reference wavelength: 555 nm) 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
               
            
               
                   
                 ½ 
                 ARE 
                 ARE − 
                 2(ARE/HEP)  
                   
                 ARE/TP 
               
               
                 ARE 
                 (HEP) 
                 value 
                 ½(HEP) 
                 % 
                 TP 
                 (%) 
               
               
                   
               
               
                 11 
                 1.792 
                 1.792 
                 −0.00044 
                  99.98% 
                 2.276 
                 78.73% 
               
               
                 12 
                 1.792 
                 1.806 
                 0.01319 
                 100.74% 
                 2.276 
                 79.33% 
               
               
                 21 
                 1.792 
                 1.797 
                 0.00437 
                 100.24% 
                 5.240 
                 34.29% 
               
               
                 22 
                 1.792 
                 1.792 
                 −0.00032 
                  99.98% 
                 5.240 
                 34.20% 
               
               
                 31 
                 1.792 
                 1.808 
                 0.01525 
                 100.85% 
                 0.837 
                 216.01% 
               
               
                 32 
                 1.792 
                 1.819 
                 0.02705 
                 101.51% 
                 0.837 
                 217.42% 
               
               
                 41 
                 1.792 
                 1.792 
                 −0.00041 
                  99.98% 
                 2.002 
                 89.50% 
               
               
                 42 
                 1.792 
                 1.825 
                 0.03287 
                 101.83% 
                 2.002 
                 91.16% 
               
               
                 51 
                 1.792 
                 1.792 
                 −0.00031 
                  99.98% 
                 4.271 
                 41.96% 
               
               
                 52 
                 1.792 
                 1.845 
                 0.05305 
                 102.96% 
                 4.271 
                 43.21% 
               
               
                 61 
                 1.792 
                 1.818 
                 0.02587 
                 101.44% 
                 0.300 
                 606.10% 
               
               
                 62 
                 1.792 
                 1.874 
                 0.08157 
                 104.55% 
                 0.300 
                 624.67% 
               
               
                 71 
                 1.792 
                 1.898 
                 0.10523 
                 105.87% 
                 1.118 
                 169.71% 
               
               
                 72 
                 1.792 
                 1.885 
                 0.09273 
                 105.17% 
                 1.118 
                 168.59% 
               
               
                   
               
               
                   
                   
                 ARS 
                 ARS − 
                 (ARS/EHD) 
                   
                 ARS/TP 
               
               
                 ARS 
                 EHD 
                 value 
                 EHD 
                 % 
                 TP 
                 (%) 
               
               
                   
               
               
                 11 
                 15.095 
                 15.096 
                 0.001 
                 100.01% 
                 2.276 
                 663.24% 
               
               
                 12 
                 10.315 
                 11.377 
                 1.062 
                 110.29% 
                 2.276 
                 499.86% 
               
               
                 21 
                 7.531 
                 8.696 
                 1.166 
                 115.48% 
                 5.240 
                 165.96% 
               
               
                 22 
                 4.759 
                 4.881 
                 0.122 
                 102.56% 
                 5.240 
                 93.15% 
               
               
                 31 
                 3.632 
                 4.013 
                 0.382 
                 110.51% 
                 0.837 
                 479.55% 
               
               
                 32 
                 2.815 
                 3.159 
                 0.344 
                 112.23% 
                 0.837 
                 377.47% 
               
               
                 41 
                 2.967 
                 2.971 
                 0.004 
                 100.13% 
                 2.002 
                 148.38% 
               
               
                 42 
                 3.402 
                 3.828 
                 0.426 
                 112.53% 
                 2.002 
                 191.20% 
               
               
                 51 
                 4.519 
                 4.523 
                 0.004 
                 100.10% 
                 4.271 
                 105.91% 
               
               
                 52 
                 5.016 
                 5.722 
                 0.706 
                 114.08% 
                 4.271 
                 133.99% 
               
               
                 61 
                 5.019 
                 5.823 
                 0.805 
                 116.04% 
                 0.300 
                 1941.14% 
               
               
                 62 
                 5.629 
                 6.605 
                 0.976 
                 117.34% 
                 0.300 
                 2201.71% 
               
               
                 71 
                 5.634 
                 6.503 
                 0.869 
                 115.43% 
                 1.118 
                 581.54% 
               
               
                 72 
                 6.488 
                 7.152 
                 0.664 
                 110.24% 
                 1.118 
                 639.59% 
               
               
                   
               
            
           
         
       
     
     The detail parameters of the first embodiment are listed in Table 1, in which the unit of the radius of curvature, thickness, and focal length are millimeter, and surface 0-10 indicates the surfaces of all elements in the system in sequence from the object side to the image side. Table 2 is the list of coefficients of the aspheric surfaces, in which A1-A20 indicate the coefficients of aspheric surfaces from the first order to the twentieth order of each aspheric surface. The following embodiments have the similar diagrams and tables, which are the same as those of the first embodiment, so we do not describe it again. 
     Second Embodiment 
     As shown in  FIG. 2A  and  FIG. 2B , an optical image capturing system  20  of the second embodiment of the present invention includes, along an optical axis from an object side to an image side, a first lens  210 , a second lens  220 , a third lens  230 , an aperture  200 , a fourth lens  240 , a fifth lens  250 , a sixth lens  260 , a seventh lens  270 , an infrared rays filter  280 , an image plane  290 , and an image sensor  292 .  FIG. 2C  shows a transverse aberration diagram at 0.7 field of view of the second embodiment of the present invention.  FIG. 2D  is a diagram showing the through-focus MTF values of the visible light spectrum at the central field of view, 0.3 field of view, and 0.7 field of view of the second embodiment of the present invention.  FIG. 2E  is a diagram showing the through-focus MTF values of the infrared light spectrum at the central field of view, 0.3 field of view, and 0.7 field of view of the second embodiment of the present disclosure. 
     The first lens  210  has negative refractive power and is made of glass. 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 second lens  220  has negative refractive power and is made of glass. 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 third lens  230  has positive refractive power and is made of glass. 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 fourth lens  240  has positive refractive power and is made of glass. An object-side surface  242 , which faces the object side, is a convex aspheric surface, and an image-side surface  244 , which faces the image side, is a convex aspheric surface. 
     The fifth lens  250  has negative refractive power and is made of glass. An object-side surface  252 , which faces the object side, is a concave aspheric surface, and an image-side surface  254 , which faces the image side, is a concave aspheric surface. The object-side surface  252  has an inflection point. 
     The sixth lens  260  has positive refractive power and is made of glass. An object-side surface  262 , which faces the object side, is a convex aspheric surface, and an image-side surface  264 , which faces the image side, is a convex aspheric surface. Whereby, the incident angle of each view field could be adjusted to improve aberration. 
     The seventh lens  270  has negative refractive power and is made of plastic. An object-side surface  272 , which faces the object side, is a convex aspheric surface, and an image-side surface  274 , which faces the image side, is a concave aspheric surface. The object-side surface  272  has an inflection point, and the image-side surface  274  has two inflection points. It may help to shorten the back focal length to keep small in size. In addition, it may reduce an incident angle of the light of an off-axis field of view and correct the aberration of the off-axis field of view. 
     The infrared rays filter  280  is made of glass and between the seventh lens  270  and the image plane  290 . The infrared rays filter  280  gives no contribution to the focal length of the system. 
     The parameters of the lenses of the second embodiment are listed in Table 3 and Table 4. 
     
       
         
           
               
             
               
                 TABLE 3 
               
             
            
               
                   
               
               
                 f = 2.9939 mm; f/HEP = 1.6; HAF = 100 deg 
               
            
           
           
               
               
               
               
               
               
               
            
               
                   
                   
                   
                   
                   
                   
                 Focal 
               
               
                   
                 Radius of curvature 
                 Thickness 
                   
                 Refractive 
                 Abbe 
                 length 
               
               
                 Surface 
                 (mm) 
                 (mm) 
                 Material 
                 index 
                 number 
                 (mm) 
               
               
                   
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                 0 
                 Object 
                 1E+18 
                 1E+18 
                   
                   
                   
                   
               
               
                 1 
                 1 st  lens 
                 41.92839302 
                 5.803 
                 glass 
                 1.702 
                 41.15 
                 −24.342 
               
               
                 2 
                   
                 11.47631436 
                 7.841 
                   
                   
                   
                   
               
               
                 3 
                 2 nd  lens 
                 18.81433042 
                 0.911 
                 glass 
                 1.882 
                 37.22 
                 −15.058 
               
               
                 4 
                   
                 7.630116852 
                 8.965 
                   
                   
                   
                   
               
               
                 5 
                 3 rd  lens 
                 −21.08840147 
                 16.749 
                 glass 
                 1.923 
                 20.88 
                 35.065 
               
               
                 6 
                   
                 −17.7158751 
                 10.061 
                   
                   
                   
                   
               
               
                 7 
                 Aperture 
                 1E+18 
                 0.200 
                   
                   
                   
                   
               
               
                 8 
                 4 th  lens 
                 9.66596437 
                 3.564 
                 glass 
                 1.583 
                 59.46 
                 9.474 
               
               
                 9 
                   
                 −11.21858218 
                 0.200 
                   
                   
                   
                   
               
               
                 10 
                 5 th  lens 
                 −44.0820068 
                 0.863 
                 glass 
                 1.923 
                 20.88 
                 −9.037 
               
               
                 11 
                   
                 10.49260784 
                 1.201 
                   
                   
                   
                   
               
               
                 12 
                 6 th  lens 
                 9.186649337 
                 6.184 
                 glass 
                 1.553 
                 71.68 
                 12.009 
               
               
                 13 
                   
                 −18.41648295 
                 0.117 
                   
                   
                   
                   
               
               
                 14 
                 7 th  lens 
                 14.07670086 
                 0.500 
                 plastic 
                 1.643 
                 22.47 
                 −92.711 
               
               
                 15 
                   
                 11.24405549 
                 4.840 
                   
                   
                   
                   
               
               
                 16 
                 Infrared 
                 1E+18 
                 1.000 
                 BK_7 
                 1.517 
                 64.2 
                   
               
               
                   
                 rays 
                   
                   
                   
                   
                   
                   
               
               
                   
                 filter 
                   
                   
                   
                   
                   
                   
               
               
                 17 
                   
                 1E+18 
                 1.013 
                   
                   
                   
                   
               
               
                 18 
                 Image 
                 1E+18 
                 −0.013 
                   
                   
                   
                   
               
               
                   
                 plane 
               
               
                   
               
               
                 Reference wavelength: 555 nm; the position of blocking light: none. 
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 4 
               
               
                   
               
               
                 Coefficients of the aspheric surfaces 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                 Surface 
                 1 
                 2 
                 3 
                 4 
                 5 
                 6 
                 8 
               
               
                   
               
               
                 k 
                   3.527462E−01 
                 −2.426472E−01 
                   0.000000E+00 
                   0.000000E+00 
                   0.000000E+00 
                 −4.388300E−01 
                 −1.000000E+00 
               
               
                 A4 
                 −6.593757E−08 
                 −8.186690E−05 
                   1.232319E−05 
                   1.701808E−04 
                 −6.398095E−05 
                   3.283548E−06 
                 −3.411462E−05 
               
               
                 A6 
                 −1.293185E−09 
                   2.119346E−07 
                 −5.790714E−08 
                 −1.775052E−06 
                 −1.378056E−08 
                   6.446245E−08 
                 −1.301464E−06 
               
               
                 A8 
                 −1.581778E−13 
                   9.520071E−21 
                 −3.350727E−10 
                 −1.413708E−17 
                 −7.174936E−10 
                 −3.879021E−11 
                   4.562410E−08 
               
               
                 A10 
                   5.317944E−16 
                   5.727197E−25 
                 −9.328010E−14 
                   5.362004E−22 
                   2.119181E−11 
                 −2.394856E−12 
                 −2.025042E−09 
               
               
                 A12 
                   0.000000E+00 
                   0.000000E+00 
                   0.000000E+00 
                   0.000000E+00 
                   0.000000E+00 
                   0.000000E+00 
                   0.000000E+00 
               
               
                   
               
               
                 Surface 
                 9 
                 10 
                 11 
                 12 
                 13 
                 14 
                 15 
               
               
                   
               
               
                 k 
                 −8.096204E−01 
                 −7.056286E−01 
                 −8.048996E−01 
                   0.000000E+00 
                   0.000000E+00 
                   7.996445E−01 
                   2.805483E−01 
               
               
                 A4 
                   6.391967E−04 
                   1.457768E−04 
                 −1.247646E−04 
                 −8.467622E−05 
                   4.064439E−05 
                   2.135766E−04 
                   5.291170E−04 
               
               
                 A6 
                 −9.887468E−06 
                   3.878285E−06 
                   1.082581E−06 
                 −5.724168E−07 
                   4.123727E−08 
                 −1.309630E−04 
                 −1.500879E−04 
               
               
                 A8 
                   5.119961E−08 
                 −1.924083E−07 
                   7.213805E−08 
                   8.990285E−08 
                 −1.980924E−07 
                   2.516758E−06 
                   4.054295E−06 
               
               
                 A10 
                 −4.804411E−10 
                   2.094605E−09 
                 −3.340129E−09 
                 −6.671300E−10 
                   3.987454E−09 
                 −7.85001E−09 
                 −2.706527E−08 
               
               
                 A12 
                   0.000000E+00 
                   0.000000E+00 
                   0.000000E+00 
                   0.000000E+00 
                   0.000000E+00 
                   0.000000E+00 
                   0.000000E+00 
               
               
                   
               
            
           
         
       
     
     An equation of the aspheric surfaces of the second embodiment is the same as that of the first embodiment, and the definitions are the same as well. 
     The exact parameters of the second embodiment based on Table 3 and Table 4 are listed in the following table: 
     
       
         
           
               
             
               
                   
               
               
                 Second embodiment (Reference wavelength: 555 nm) 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 |f/f1| 
                 |f/f2| 
                 |f/f3| 
                 |f/f4| 
                 |f/f5| 
                 |f/f6| 
               
               
                   
               
               
                 0.1230 
                 0.1988 
                 0.0854 
                 0.3160 
                 0.3313 
                 0.2493 
               
               
                   
               
               
                 |f/f7| 
                 ΣPPR 
                 ΣNPR 
                 ΣPPR/|ΣNPR| 
                 IN12/f 
                 IN67/f 
               
               
                   
               
               
                 0.0323 
                 0.7737 
                 0.5624 
                 1.3757 
                 2.6190 
                 0.0391 
               
               
                   
               
            
           
           
               
               
               
               
            
               
                 |f1/f2| 
                 |f2/f3| 
                 (TP1 + IN12)/TP2 
                 (TP7 + IN67)/TP6 
               
               
                   
               
               
                 1.6166 
                 0.4294 
                 14.9807 
                 0.0998 
               
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 HOS 
                 InTL 
                 HOS/HOI 
                 InS/HOS 
                 ODT % 
                 TDT % 
               
               
                   
               
               
                 70.0001 
                 63.1602 
                 11.6667 
                 0.2810 
                 −135.2980 
                 93.1001 
               
               
                   
               
               
                 HVT11 
                 HVT12 
                 HVT21 
                 HVT22 
                 HVT31 
                 HVT32 
               
               
                   
               
               
                 0.0000 
                 0.0000 
                 0.0000 
                 0.0000 
                 0.0000 
                 0.0000 
               
               
                   
               
               
                 HVT61 
                 HVT62 
                 HVT71 
                 HVT72 
                 HVT72/HOI 
                 HVT72/HOS 
               
               
                   
               
               
                 0.0000 
                 0.0000 
                 3.5467 
                 4.3991 
                 0.7332 
                 0.0628 
               
               
                   
               
               
                 PSTA 
                 PLTA 
                 NSTA 
                 NLTA 
                 SSTA 
                 SLTA 
               
               
                   
               
            
           
           
               
               
               
               
               
               
               
            
               
                 0.019 mm 
                   0.002 mm 
                 0.00016 
                 mm 
                 −0.001 mm 
                 0.009 mm 
                 −0.002 mm 
               
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 VSFS0 
                 VSFS3 
                 VSFS7 
                 VTFS0 
                 VTFS3 
                 VTFS7 
               
               
                   
               
            
           
           
               
               
               
               
               
               
               
            
               
                 0.005 mm 
                 −0.000 mm 
                 −0.000 
                 mm 
                   0.005 mm 
                 0.005 mm 
                 −0.000 mm 
               
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 VSMTF0 
                 VSMTF3 
                 VSMTF7 
                 VTMTF0 
                 VTMTF3 
                 VTMTF7 
               
               
                   
               
               
                 0.575 
                 0.546 
                 0.607 
                 0.575 
                 0.427 
                 0.592 
               
               
                   
               
               
                 ISFS0 
                 ISFS3 
                 ISFS7 
                 ITFS0 
                 ITFS3 
                 ITFS7 
               
               
                   
               
            
           
           
               
               
               
               
               
               
               
            
               
                 0.005 mm 
                   0.005 mm 
                 0.005 
                 mm 
                   0.005 mm 
                 0.010 mm 
                   0.030 mm 
               
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 ISMTF0 
                 ISMTF3 
                 ISMTF7 
                 ITMTF0 
                 ITMTF3 
                 ITMTF7 
               
               
                   
               
               
                 0.742 
                 0.749 
                 0.668 
                 0.742 
                 0.734 
                 0.740 
               
               
                   
               
               
                 FS 
                 AIFS 
                 AVFS 
                 AFS 
                   
                   
               
               
                   
               
            
           
           
               
               
               
               
               
               
               
            
               
                 0.000 mm 
                   0.010 mm 
                 0.003 
                 mm 
                   0.008 mm 
                   
                   
               
               
                   
               
            
           
         
       
     
     The figures related to the profile curve lengths obtained based on Table 3 and Table 4 are listed in the following table: 
     
       
         
           
               
             
               
                   
               
               
                 Second embodiment (Reference wavelength: 555 nm) 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
               
            
               
                   
                 ½ 
                 ARE 
                 ARE − 
                 2(ARE/HEP) 
                   
                 ARE/TP 
               
               
                 ARE 
                 (HEP) 
                 value 
                 ½(HEP) 
                 % 
                 TP 
                 (%) 
               
               
                   
               
               
                 11 
                 0.921 
                 0.921 
                 −0.00012 
                  99.99% 
                   5.803 
                 15.87% 
               
               
                 12 
                 0.921 
                 0.922 
                   0.00080 
                 100.09% 
                   5.803 
                 15.89% 
               
               
                 21 
                 0.921 
                 0.921 
                   0.00018 
                 100.02% 
                   0.911 
                 101.16% 
               
               
                 22 
                 0.921 
                 0.923 
                   0.00207 
                 100.22% 
                   0.911 
                 101.37% 
               
               
                 31 
                 0.921 
                 0.921 
                   0.00010 
                 100.01% 
                 16.749 
                 5.50% 
               
               
                 32 
                 0.921 
                 0.921 
                   0.00022 
                 100.02% 
                 16.749 
                 5.50% 
               
               
                 41 
                 0.921 
                 0.922 
                   0.00120 
                 100.13% 
                   3.564 
                 25.88% 
               
               
                 42 
                 0.921 
                 0.922 
                   0.00081 
                 100.09% 
                   3.564 
                 25.87% 
               
               
                 51 
                 0.921 
                 0.921 
                 −0.00013 
                  99.99% 
                   0.863 
                 106.71% 
               
               
                 52 
                 0.921 
                 0.922 
                   0.00098 
                 100.11% 
                   0.863 
                 106.84% 
               
               
                 61 
                 0.921 
                 0.923 
                   0.00135 
                 100.15% 
                   6.184 
                 14.92% 
               
               
                 62 
                 0.921 
                 0.921 
                   0.00019 
                 100.02% 
                   6.184 
                 14.90% 
               
               
                 71 
                 0.921 
                 0.922 
                   0.00047 
                 100.05% 
                   0.500 
                 184.33% 
               
               
                 72 
                 0.921 
                 0.922 
                   0.00086 
                 100.09% 
                   0.500 
                 184.41% 
               
               
                   
               
               
                   
                   
                 ARS 
                 ARS − 
                 (ARS/EHD) 
                   
                 ARS/TP 
               
               
                 ARS 
                 EHD 
                 value 
                 EHD 
                 % 
                 TP 
                 (%) 
               
               
                   
               
               
                 11 
                 31.726 
                 36.519 
                 4.793 
                 115.11% 
                   5.803 
                 629.34% 
               
               
                 12 
                 13.145 
                 20.033 
                 6.888 
                 152.40% 
                   5.803 
                 345.24% 
               
               
                 21 
                 12.785 
                 13.941 
                 1.156 
                 109.04% 
                   0.911 
                 1530.70% 
               
               
                 22 
                  7.611 
                 11.607 
                 3.996 
                 152.50% 
                   0.911 
                 1274.47% 
               
               
                 31 
                  7.607 
                  7.849 
                 0.241 
                 103.17% 
                 16.749 
                 46.86% 
               
               
                 32 
                  8.940 
                  9.322 
                 0.382 
                 104.27% 
                 16.749 
                 55.66% 
               
               
                 41 
                  4.803 
                  4.981 
                 0.178 
                 103.70% 
                   3.564 
                 139.76% 
               
               
                 42 
                  4.914 
                  5.001 
                 0.087 
                 101.77% 
                   3.564 
                 140.32% 
               
               
                 51 
                  4.864 
                  4.868 
                 0.004 
                 100.08% 
                   0.863 
                 564.00% 
               
               
                 52 
                  4.849 
                  5.000 
                 0.152 
                 103.13% 
                   0.863 
                 579.34% 
               
               
                 61 
                  5.847 
                  6.325 
                 0.479 
                 108.19% 
                   6.184 
                 102.28% 
               
               
                 62 
                  5.579 
                  5.676 
                 0.097 
                 101.74% 
                   6.184 
                 91.79% 
               
               
                 71 
                  5.299 
                  5.418 
                 0.119 
                 102.25% 
                   0.500 
                 1083.56% 
               
               
                 72 
                  5.369 
                  5.407 
                 0.038 
                 100.71% 
                   0.500 
                 1081.45% 
               
               
                   
               
            
           
         
       
     
     The results of the equations of the second embodiment based on Table 3 and Table 4 are listed in the following table: 
     
       
         
           
               
             
               
                   
               
               
                 Values related to the inflection points of the second embodiment 
               
               
                 (Reference wavelength: 555 nm) 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                 HIF511 
                 3.4296 
                 HIF511/HOI 
                 0.5716 
                 SGI511 
                 −0.1102 
                 |SGI511|/(|SGI511| + TP5) 
                 0.1132 
               
               
                 HIF711 
                 2.3035 
                 HIF711/HOI 
                 0.3839 
                 SGI711 
                 0.1792 
                 |SGI711|/(|SGI711| + TP7) 
                 0.2639 
               
               
                 HIF721 
                 2.6087 
                 HIF721/HOI 
                 0.4348 
                 SGI721 
                 0.2935 
                 |SGI721|/(|SGI721| + TP7) 
                 0.3699 
               
               
                 HIF722 
                 4.8478 
                 HIF722/HOI 
                 0.8080 
                 SGI722 
                 0.5028 
                 |SGI722|/(|SGI722| + TP7) 
                 0.5014 
               
               
                   
               
            
           
         
       
     
     Third Embodiment 
     As shown in  FIG. 3A  and  FIG. 3B , an optical image capturing system of the third embodiment of the present invention includes, along an optical axis from an object side to an image side, a first lens  310 , a second lens  320 , a third lens  330 , an aperture  300 , a fourth lens  340 , a fifth lens  350 , a sixth lens  360 , a seventh lens  370 , an infrared rays filter  380 , an image plane  390 , and an image sensor  392 .  FIG. 3C  shows a transverse aberration diagram at 0.7 field of view of the third embodiment of the present invention.  FIG. 3D  is a diagram showing the through-focus MTF values of the visible light spectrum at the central field of view, 0.3 field of view, and 0.7 field of view of the third embodiment of the present invention.  FIG. 3E  is a diagram showing the through-focus MTF values of the infrared light spectrum at the central field of view, 0.3 field of view, and 0.7 field of view of the third embodiment of the present disclosure. 
     The first lens  310  has negative refractive power and is made of glass. An object-side surface  312  thereof, which faces the object side, is a convex aspheric surface, and an image-side surface  314  thereof, which faces the image side, is a concave aspheric surface. 
     The second lens  320  has negative refractive power and is made of glass. An object-side surface  322  thereof, which faces the object side, is a convex aspheric surface, and an image-side surface  324  thereof, which faces the image side, is a concave aspheric surface. The object-side surface  322  has an inflection point. 
     The third lens  330  has positive refractive power and is made of glass. An object-side surface  332  thereof, which faces the object side, is a concave aspheric surface, and an image-side surface  334  thereof, which faces the image side, is a convex aspheric surface. 
     The fourth lens  340  has positive refractive power and is made of glass. An object-side surface  342 , which faces the object side, is a convex aspheric surface, and an image-side surface  344 , which faces the image side, is a convex aspheric surface. 
     The fifth lens  350  has negative refractive power and is made of plastic. An object-side surface  352 , which faces the object side, is a convex aspheric surface, and an image-side surface  354 , which faces the image side, is a concave aspheric surface. The object-side surface  352  and the image-side surface  354  both have an inflection point. It may help to shorten the back focal length to keep small in size. 
     The sixth lens  360  has positive refractive power and is made of plastic. An object-side surface  362 , which faces the object side, is a convex aspheric surface, and an image-side surface  364 , which faces the image side, is a convex aspheric surface. Whereby, the incident angle of each view field could be adjusted to improve aberration. 
     The seventh lens  370  has negative refractive power and is made of plastic. An object-side surface  372 , which faces the object side, is a concave aspheric surface, and an image-side surface  374 , which faces the image side, is a concave aspheric surface. It may help to shorten the back focal length to keep small in size. In addition, it may reduce an incident angle of the light of an off-axis field of view and correct the aberration of the off-axis field of view. 
     The infrared rays filter  380  is made of glass and between the seventh lens  370  and the image plane  390 . The infrared rays filter  380  gives no contribution to the focal length of the system. 
     The parameters of the lenses of the third embodiment are listed in Table 5 and Table 6. 
     
       
         
           
               
             
               
                 TABLE 5 
               
             
            
               
                   
               
               
                 f = 3.1680 mm; f/HEP = 1.6; HAF = 100 deg 
               
            
           
           
               
               
               
               
               
               
               
            
               
                   
                   
                   
                   
                   
                   
                 Focal 
               
               
                   
                 Radius of curvature 
                 Thickness 
                   
                 Refractive 
                 Abbe 
                 length 
               
               
                 Surface 
                 (mm) 
                 (mm) 
                 Material 
                 index 
                 number 
                 (mm) 
               
               
                   
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                 0 
                 Object 
                 1E+18 
                 1E+18 
                   
                   
                   
                   
               
               
                 1 
                 1 st  lens 
                 87.02777231 
                 12.704 
                 glass 
                 1.593 
                 68.62 
                 −36.921 
               
               
                 2 
                   
                 16.57257815 
                 13.034 
                   
                   
                   
                   
               
               
                 3 
                 2 nd  lens 
                 32.57874755 
                 0.911 
                 glass 
                 2.001 
                 29.13 
                 −11.306 
               
               
                 4 
                   
                 8.319427612 
                 8.327 
                   
                   
                   
                   
               
               
                 5 
                 3 rd  lens 
                 −31.71101734 
                 15.837 
                 glass 
                 2.002 
                 19.32 
                 33.685 
               
               
                 6 
                   
                 −20.54322186 
                 13.421 
                   
                   
                   
                   
               
               
                 7 
                 Aperture 
                 1E+18 
                 0.246 
                   
                   
                   
                   
               
               
                 8 
                 4 th  lens 
                 9.409945021 
                 3.215 
                 glass 
                 1.517 
                 64.20 
                 11.394 
               
               
                 9 
                   
                 −14.0061341 
                 0.200 
                   
                   
                   
                   
               
               
                 10 
                 5 th  lens 
                 156.7944101 
                 0.500 
                 glass 
                 2.002 
                 19.32 
                 −11.254 
               
               
                 11 
                   
                 10.59043283 
                 1.514 
                   
                   
                   
                   
               
               
                 12 
                 6 th  lens 
                 8.092427896 
                 5.943 
                 plastic 
                 1.544 
                 55.96 
                 10.776 
               
               
                 13 
                   
                 −15.94241774 
                 0.050 
                   
                   
                   
                   
               
               
                 14 
                 7 th  lens 
                 −142.1261659 
                 1.807 
                 plastic 
                 1.661 
                 20.40 
                 −34.689 
               
               
                 15 
                   
                 27.76756583 
                 5.211 
                   
                   
                   
                   
               
               
                 16 
                 Infrared 
                 1E+18 
                 1.000 
                 BK_7 
                 1.517 
                 64.2 
                   
               
               
                   
                 rays 
                   
                   
                   
                   
                   
                   
               
               
                   
                 filter 
                   
                   
                   
                   
                   
                   
               
               
                 17 
                   
                 1E+18 
                 1.007 
                   
                   
                   
                   
               
               
                 18 
                 Image 
                 1E+18 
                 −0.008 
                   
                   
                   
                   
               
               
                   
                 plane 
               
               
                   
               
               
                 Reference wavelength: 555 nm; the position of blocking light: none. 
               
            
           
         
       
     
     Table 6 Coefficients of the aspheric surfaces 
     
       
         
           
               
               
               
               
               
               
               
               
             
               
                   
               
             
            
               
                 Surface 
                 1 
                 2 
                 3 
                 4 
                 5 
                 6 
                 8 
               
               
                   
               
               
                 k 
                   9.994640E−01 
                   0.000000E+00 
                   0.000000E+00 
                   0.000000E+00 
                   0.000000E+00 
                   9.997027E−01 
                 −9.842439E−01 
               
               
                 A4 
                 −5.323689E−07 
                   3.668145E−05 
                   8.269482E−05 
                 −1.291646E−04 
                 −1.789001E−04 
                 −1.268020E−05 
                 −2.158921E−04 
               
               
                 A6 
                   2.063924E−11 
                   1.482266E−09 
                 −2.049930E−07 
                   2.270184E−06 
                   2.075647E−07 
                   2.792729E−07 
                   2.084476E−06 
               
               
                 A8 
                   3.604070E−14 
                   9.005003E−17 
                 −3.093643E−10 
                 −1.964108E−08 
                   1.973919E−09 
                 −4.602672E−10 
                   8.469103E−08 
               
               
                 A10 
                 −7.693800E−18 
                   8.039533E−22 
                 −4.354415E−13 
                 −6.620269E−13 
                 −8.452814E−13 
                   5.457441E−13 
                 −1.683112E−09 
               
               
                 A12 
                   0.000000E+00 
                   0.000000E+00 
                   0.000000E+00 
                   0.000000E+00 
                   0.000000E+00 
                   0.000000E+00 
                   0.000000E+00 
               
               
                 A14 
                   9.994640E−01 
                   0.000000E+00 
                   0.000000E+00 
                   0.000000E+00 
                   0.000000E+00 
                   9.997027E−01 
                 −9.842439E−01 
               
               
                   
               
               
                 Surface 
                 9 
                 10 
                 11 
                 12 
                 13 
                 14 
                 15 
               
               
                   
               
               
                 k 
                   0.000000E+00 
                   0.000000E+00 
                   0.000000E+00 
                   0.000000E+00 
                   0.000000E+00 
                 −9.449169E−01 
                   0.000000E+00 
               
               
                 A4 
                   7.094612E−04 
                   2.885560E−04 
                 −3.825028E−04 
                 −4.947782E−04 
                   1.033630E−04 
                 −1.287691E−04 
                   2.821415E−05 
               
               
                 A6 
                 −1.743261E−05 
                 −1.024236E−05 
                 −1.110316E−06 
                   3.452597E−06 
                 −1.936606E−06 
                 −8.243134E−06 
                 −3.839053E−06 
               
               
                 A8 
                   2.944941E−07 
                 −2.658374E−08 
                 −6.546523E−08 
                   5.840322E−09 
                 −1.323358E−08 
                   9.656849E−08 
                   8.595996E−08 
               
               
                 A10 
                 −2.439009E−09 
                   1.045008E−09 
                   3.475710E−10 
                 −8.151859E−10 
                   1.090334E−09 
                   2.820589E−10 
                   4.013457E−09 
               
               
                 A12 
                   0.000000E+00 
                   0.000000E+00 
                   0.000000E+00 
                   0.000000E+00 
                   0.000000E+00 
                   0.000000E+00 
                   0.000000E+00 
               
               
                 A14 
                   0.000000E+00 
                   0.000000E+00 
                   0.000000E+00 
                   0.000000E+00 
                   0.000000E+00 
                 −9.449169E−01 
                   0.000000E+00 
               
               
                   
               
            
           
         
       
     
     An equation of the aspheric surfaces of the third embodiment is the same as that of the first embodiment, and the definitions are the same as well. 
     The exact parameters of the third embodiment based on Table 5 and Table 6 are listed in the following table: 
     
       
         
           
               
             
               
                   
               
               
                 Third embodiment (Reference wavelength: 555 nm) 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 |f/f1| 
                 |f/f2| 
                 |f/f3| 
                 |f/f4| 
                 |f/f5| 
                 |f/f6| 
               
               
                   
               
               
                 0.0858 
                 0.2802 
                 0.0940 
                 0.2780 
                 0.2815 
                 0.2940 
               
               
                   
               
               
                 |f/f7| 
                 ΣPPR 
                 ΣNPR 
                 ΣPPR/|ΣNPR| 
                 IN12/f 
                 IN67/f 
               
               
                   
               
               
                 0.0913 
                 0.7519 
                 0.6530 
                 1.1513 
                 4.1145 
                 0.0158 
               
               
                   
               
            
           
           
               
               
               
               
            
               
                 |f1/f2| 
                 |f2/f3| 
                 (TP1 + IN12)/TP2 
                 (TP7 + IN67)/TP6 
               
               
                   
               
               
                 3.2657 
                 0.3356 
                 28.2665 
                 0.3125 
               
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 HOS 
                 InTL 
                 HOS/HOI 
                 InS/HOS 
                 ODT % 
                 TDT % 
               
               
                   
               
               
                 84.9201 
                 77.7097 
                 14.1534 
                 0.2436 
                 −124.9210 
                 78.1265 
               
               
                   
               
               
                 HVT11 
                 HVT12 
                 HVT21 
                 HVT22 
                 HVT31 
                 HVT32 
               
               
                   
               
               
                 0.0000 
                 0.0000 
                 0.0000 
                 0.0000 
                 0.0000 
                 0.0000 
               
               
                   
               
               
                 HVT61 
                 HVT62 
                 HVT71 
                 HVT72 
                 HVT72/HOI 
                 HVT72/HOS 
               
               
                   
               
               
                 0.0000 
                 0.0000 
                 0.0000 
                 0.0000 
                 0.0000 
                 0.0000 
               
               
                   
               
               
                 PSTA 
                 PLTA 
                 NSTA 
                 NLTA 
                 SSTA 
                 SLTA 
               
               
                   
               
               
                   0.007 mm 
                 −0.004 mm 
                   0.002 mm 
                   0.010 mm 
                   0.013 mm 
                   0.004 mm 
               
               
                   
               
               
                 VSFS0 
                 VSFS3 
                 VSFS7 
                 VTFS0 
                 VTFS3 
                 VTFS7 
               
               
                   
               
               
                 −0.005 mm 
                 −0.010 mm 
                 −0.010 mm 
                 −0.005 mm 
                 −0.005 mm 
                 −0.010 mm 
               
               
                   
               
               
                 VSMTF0 
                 VSMTF3 
                 VSMTF7 
                 VTMTF0 
                 VTMTF3 
                 VTMTF7 
               
               
                   
               
               
                 0.444 
                 0.400 
                 0.415 
                 0.444 
                 0.418 
                 0.494 
               
               
                   
               
               
                 ISFS0 
                 ISFS3 
                 ISFS7 
                 ITFS0 
                 ITFS3 
                 ITFS7 
               
               
                   
               
               
                 −0.000 mm 
                 −0.025 mm 
                 −0.020 mm 
                 −0.000 mm 
                 −0.000 mm 
                   0.035 mm 
               
               
                   
               
               
                 ISMTF0 
                 ISMTF3 
                 ISMTF7 
                 ITMTF0 
                 ITMTF3 
                 ITMTF7 
               
               
                   
               
               
                 0.328 
                 0.299 
                 0.378 
                 0.328 
                 0.380 
                 0.424 
               
               
                   
               
               
                 FS 
                 AIFS 
                 AVFS 
                 AFS 
                   
                   
               
               
                   
               
               
                   0.005 mm 
                 −0.002 mm 
                 −0.008 mm 
                   0.006 mm 
               
               
                   
               
            
           
         
       
     
     The figures related to the profile curve lengths obtained based on Table 5 and Table 6 are listed in the following table: 
     
       
         
           
               
             
               
                   
               
               
                 Third embodiment (Reference wavelength: 555 nm) 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
               
            
               
                 ARE 
                 1/2(HEP) 
                 ARE value 
                 ARE-1/2(HEP) 
                 2(ARE/HEP) % 
                 TP 
                 ARE/TP (%) 
               
               
                   
               
               
                 11 
                 0.960 
                 0.960 
                 −0.00005 
                 100.00% 
                 12.704 
                   7.56% 
               
               
                 12 
                 0.960 
                 0.961 
                 0.00047 
                 100.05% 
                 12.704 
                   7.56% 
               
               
                 21 
                 0.960 
                 0.960 
                 0.00007 
                 100.01% 
                 0.911 
                  105.44% 
               
               
                 22 
                 0.960 
                 0.962 
                 0.00207 
                 100.22% 
                 0.911 
                  105.66% 
               
               
                 31 
                 0.960 
                 0.960 
                 0.00008 
                 100.01% 
                 15.837 
                   6.06% 
               
               
                 32 
                 0.960 
                 0.960 
                 0.00028 
                 100.03% 
                 15.837 
                   6.06% 
               
               
                 41 
                 0.960 
                 0.962 
                 0.00158 
                 100.16% 
                 3.215 
                  29.91% 
               
               
                 42 
                 0.960 
                 0.961 
                 0.00065 
                 100.07% 
                 3.215 
                  29.88% 
               
               
                 51 
                 0.960 
                 0.960 
                 −0.00006 
                  99.99% 
                 0.500 
                  191.98% 
               
               
                 52 
                 0.960 
                 0.961 
                 0.00123 
                 100.13% 
                 0.500 
                  192.24% 
               
               
                 61 
                 0.960 
                 0.962 
                 0.00216 
                 100.22% 
                 5.943 
                  16.19% 
               
               
                 62 
                 0.960 
                 0.961 
                 0.00051 
                 100.05% 
                 5.943 
                  16.16% 
               
               
                 71 
                 0.960 
                 0.960 
                 −0.00006 
                  99.99% 
                 1.807 
                  53.13% 
               
               
                 72 
                 0.960 
                 0.960 
                 0.00013 
                 100.01% 
                 1.807 
                  53.14% 
               
               
                   
               
               
                 ARS 
                 EHD 
                 ARS value 
                 ARS-EHD 
                 (ARS/EHD) % 
                 TP 
                 ARS/TP (%) 
               
               
                   
               
               
                 11 
                 58.469 
                 66.605 
                 8.136 
                 113.91% 
                 12.704 
                  524.27% 
               
               
                 12 
                 16.365 
                 25.563 
                 9.198 
                 156.21% 
                 12.704 
                  201.21% 
               
               
                 21 
                 12.936 
                 13.665 
                 0.729 
                 105.63% 
                 0.911 
                 1500.68% 
               
               
                 22 
                 8.170 
                 11.266 
                 3.095 
                 137.89% 
                 0.911 
                 1237.19% 
               
               
                 31 
                 8.134 
                 8.420 
                 0.286 
                 103.51% 
                 15.837 
                  53.16% 
               
               
                 32 
                 10.350 
                 10.892 
                 0.542 
                 105.24% 
                 15.837 
                  68.78% 
               
               
                 41 
                 5.092 
                 5.298 
                 0.206 
                 104.04% 
                 3.215 
                  164.79% 
               
               
                 42 
                 5.203 
                 5.260 
                 0.057 
                 101.09% 
                 3.215 
                  163.59% 
               
               
                 51 
                 5.224 
                 5.226 
                 0.001 
                 100.02% 
                 0.500 
                 1045.01% 
               
               
                 52 
                 5.265 
                 5.390 
                 0.126 
                 102.38% 
                 0.500 
                 1077.92% 
               
               
                 61 
                 6.345 
                 6.921 
                 0.576 
                 109.08% 
                 5.943 
                  116.46% 
               
               
                 62 
                 6.091 
                 6.221 
                 0.131 
                 102.14% 
                 5.943 
                  104.69% 
               
               
                 71 
                 5.815 
                 5.849 
                 0.034 
                 100.59% 
                 1.807 
                  323.73% 
               
               
                 72 
                 5.537 
                 5.598 
                 0.061 
                 101.09% 
                 1.807 
                  309.82% 
               
               
                   
               
            
           
         
       
     
     The results of the equations of the third embodiment based on Table 5 and Table 6 are listed in the following table: 
     
       
         
           
               
             
               
                   
               
               
                 Values related to the inflection points of the third embodiment 
               
               
                 (Reference wavelength: 555 nm) 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                 HIF211 
                 11.7034 
                 HIF211/HOI 
                 1.9506 
                 SGI211 
                 3.0695 
                 |SGI211|/(|SGI211| + TP2) 
                 0.7712 
               
               
                 HIF511 
                  3.5701 
                 HIF511/HOI 
                 0.5950 
                 SGI511 
                 0.0660 
                 |SGI511|/(|SGI511| + TP5) 
                 0.1165 
               
               
                 HIF512 
                  4.4304 
                 HIF512/HOI 
                 0.7384 
                 SGI512 
                 0.8068 
                 |SGI512|/(|SGI512| + TP5) 
                 0.6174 
               
               
                   
               
            
           
         
       
     
     Fourth Embodiment 
     As shown in  FIG. 4A  and  FIG. 4B , an optical image capturing system  40  of the fourth embodiment of the present invention includes, along an optical axis from an object side to an image side, a first lens  410 , a second lens  420 , a third lens  430 , an aperture  400 , a fourth lens  440 , a fifth lens  450 , a sixth lens  460 , a seventh lens  470 , an infrared rays filter  480 , an image plane  490 , and an image sensor  492 .  FIG. 4C  shows a a transverse aberration diagram at 0.7 field of view of the fourth embodiment of the present invention.  FIG. 4D  is a diagram showing the through-focus MTF values of the visible light spectrum at the central field of view, 0.3 field of view, and 0.7 field of view of the fourth embodiment of the present invention.  FIG. 4E  is a diagram showing the through-focus MTF values of the infrared light spectrum at the central field of view, 0.3 field of view, and 0.7 field of view of the fourth embodiment of the present disclosure. 
     The first lens  410  has negative refractive power and is made of glass. An object-side surface  412  thereof, which faces the object side, is a convex aspheric surface, and an image-side surface  414  thereof, which faces the image side, is a concave aspheric surface. 
     The second lens  420  has negative refractive power and is made of glass. An object-side surface  422  thereof, which faces the object side, is a convex aspheric surface, and an image-side surface  424  thereof, which faces the image side, is a concave aspheric surface. 
     The third lens  430  has positive refractive power and is made of glass. An object-side surface  432  thereof, which faces the object side, is a concave aspheric surface, and an image-side surface  434  thereof, which faces the image side, is a convex aspheric surface. 
     The fourth lens  440  has positive refractive power and is made of glass. An object-side surface  442 , which faces the object side, is a convex aspheric surface, and an image-side surface  444 , which faces the image side, is a convex aspheric surface. 
     The fifth lens  450  has negative refractive power and is made of plastic. An object-side surface  452 , which faces the object side, is a concave aspheric surface, and an image-side surface  454 , which faces the image side, is a concave aspheric surface. The image-side surface  452  has two inflection points. 
     The sixth lens  460  has positive refractive power and is made of plastic. An object-side surface  462 , which faces the object side, is a convex aspheric surface, and an image-side surface  464 , which faces the image side, is a convex aspheric surface. Whereby, the incident angle of each view field could be adjusted to improve aberration. 
     The seventh lens  470  has negative refractive power and is made of plastic. An object-side surface  472 , which faces the object side, is a concave aspheric surface, and an image-side surface  474 , which faces the image side, is a convex aspheric surface. It may help to shorten the back focal length to keep small in size. In addition, the object-side surface  472  and the image-side surface  474  both have an inflection point, which may reduce an incident angle of the light of an off-axis field of view and correct the aberration of the off-axis field of view. 
     The infrared rays filter  480  is made of glass and between the seventh lens  470  and the image plane  490 . The infrared rays filter  480  gives no contribution to the focal length of the system. 
     The parameters of the lenses of the fourth embodiment are listed in Table 7 and Table 8. 
     
       
         
           
               
             
               
                 TABLE 7 
               
             
            
               
                   
               
               
                 f = 2.5946 mm; f/HEP = 1.6; HAF = 100 deg 
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                   
                   
                   
                   
                   
                   
                   
                 Focal 
               
            
           
           
               
               
               
               
               
               
               
            
               
                   
                 Radius of curvature 
                 Thickness 
                   
                 Refractive 
                 Abbe 
                 length 
               
               
                 Surface 
                 (mm) 
                 (mm) 
                 Material 
                 index 
                 number 
                 (mm) 
               
               
                   
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                 0 
                 Object 
                 1E+18 
                 1E+18 
                   
                   
                   
                   
               
               
                 1 
                 1 st  lens 
                 321.4308977 
                 21.000 
                 glass 
                 1.497 
                 81.56 
                 −69.234 
               
               
                 2 
                   
                 30.47428025 
                 30.268 
                   
                   
                   
                   
               
               
                 3 
                 2 nd  lens 
                 90.26309328 
                 9.538 
                 glass 
                 2.001 
                 29.13 
                 −11.067 
               
               
                 4 
                   
                 9.395277256 
                 9.062 
                   
                   
                   
                   
               
               
                 5 
                 3 rd  lens 
                 −34.70439931 
                 21.000 
                 glass 
                 2.002 
                 19.32 
                 30.544 
               
               
                 6 
                   
                 −21.31088764 
                 14.232 
                   
                   
                   
                   
               
               
                 7 
                 Aperture 
                 1E+18 
                 0.548 
                   
                   
                   
                   
               
               
                 8 
                 4 th  lens 
                 12.49869625 
                 2.689 
                 glass 
                 1.592 
                 67.02 
                 10.115 
               
               
                 9 
                   
                 −10.63133622 
                 0.200 
                   
                   
                   
                   
               
               
                 10 
                 5 th  lens 
                 −15.28705691 
                 2.341 
                 plastic 
                 1.661 
                 20.40 
                 −10.185 
               
               
                 11 
                   
                 12.96928497 
                 0.555 
                   
                   
                   
                   
               
               
                 12 
                 6 th  lens 
                 10.09155631 
                 4.122 
                 plastic 
                 1.544 
                 55.96 
                 10.686 
               
               
                 13 
                   
                 −11.82446889 
                 0.535 
                   
                   
                   
                   
               
               
                 14 
                 7 th  lens 
                 −9.909711633 
                 1.745 
                 plastic 
                 1.661 
                 20.40 
                 −54.272 
               
               
                 15 
                   
                 −14.60810155 
                 4.966 
                   
                   
                   
                   
               
               
                 16 
                 Infrared 
                 1E+18 
                 1.000 
                 BK_7 
                 1.517 
                 64.2 
                   
               
               
                   
                 rays 
                   
                   
                   
                   
                   
                   
               
               
                   
                 filter 
                   
                   
                   
                   
                   
                   
               
               
                 17 
                   
                 1E+18 
                 1.017 
                   
                   
                   
                   
               
               
                 18 
                 Image 
                 1E+18 
                 −0.017 
                   
                   
                   
                   
               
               
                   
                 plane 
                   
                   
                   
                   
                   
                   
               
               
                   
               
               
                 Reference wavelength: 555 nm; the position of blocking light: none. 
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 8 
               
               
                   
               
               
                 Coefficients of the aspheric surfaces 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                 Surface 
                 1 
                 2 
                 3 
                 4 
                 5 
                 6 
                 8 
               
               
                   
               
               
                 k 
                 −8.728647E−01 
                   0.000000E+00 
                   0.000000E+00 
                   0.000000E+00 
                   0.000000E+00 
                   3.002993E−01 
                 −1.000000E+00 
               
               
                 A4 
                   2.658863E−07 
                   4.156391E−06 
                   1.056273E−05 
                 −1.509824E−04 
                 −8.590287E−05 
                   1.177802E−05 
                 −3.637741E−05 
               
               
                 A6 
                 −2.359851E−11 
                   3.008587E−08 
                 −1.365533E−08 
                   1.558340E−06 
                   4.245225E−07 
                   5.812455E−08 
                 −4.065190E−06 
               
               
                 A8 
                   1.179863E−15 
                 −2.178626E−11 
                   9.300297E−12 
                 −4.951255E−09 
                 −1.980683E−09 
                 −2.490950E−10 
                   1.210052E−07 
               
               
                 A10 
                 −1.126140E−20 
                   9.446200E−28 
                 −5.247197E−16 
                 −6.343405E−11 
                   5.400693E−12 
                   1.979960E−13 
                 −8.772488E−10 
               
               
                 A12 
                   0.000000E+00 
                   0.000000E+00 
                   0.000000E+00 
                   0.000000E+00 
                   0.000000E+00 
                   0.000000E+00 
                   0.000000E+00 
               
               
                   
               
               
                 Surface 
                 9 
                 10 
                 11 
                 12 
                 13 
                 14 
                 15 
               
               
                   
               
               
                 k 
                   0.000000E+00 
                   0.000000E+00 
                   0.000000E+00 
                   0.000000E+00 
                   0.000000E+00 
                   0.000000E+00 
                   9.997298E−01 
               
               
                 A4 
                   1.059277E−03 
                   9.369986E−04 
                   2.446991E−05 
                 −2.201359E−04 
                 −1.434490E−04 
                   9.910535E−04 
                   1.224827E−03 
               
               
                 A6 
                 −2.037991E−05 
                 −1.094731E−05 
                   6.011490E−06 
                 −1.613490E−06 
                 −1.150827E−06 
                 −5.846579E−06 
                   1.036570E−06 
               
               
                 A8 
                   3.456524E−07 
                 −6.735267E−08 
                 −2.294688E−07 
                   5.316143E−08 
                   6.257959E−08 
                 −5.909459E−10 
                 −2.604750E−07 
               
               
                 A10 
                 −2.914910E−09 
                   1.454000E−10 
                   1.270803E−09 
                 −8.749138E−10 
                 −2.601915E−10 
                   1.232999E−09 
                   7.488591E−09 
               
               
                 A12 
                   0.000000E+00 
                   0.000000E+00 
                   0.000000E+00 
                   0.000000E+00 
                   0.000000E+00 
                   0.000000E+00 
                   0.000000E+00 
               
               
                   
               
            
           
         
       
     
     An equation of the aspheric surfaces of the fourth embodiment is the same as that of the first embodiment, and the definitions are the same as well. 
     The exact parameters of the fourth embodiment based on Table 7 and Table 8 are listed in the following table: 
     
       
         
           
               
             
               
                   
               
               
                 Fourth embodiment (Reference wavelength: 555 nm) 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 |f/f1| 
                 |f/f2| 
                 |f/f3| 
                 |f/f4| 
                 |f/f5| 
                 |f/f6| 
               
               
                   
               
               
                 0.0375 
                 0.2344 
                 0.0849 
                 0.2565 
                 0.2547 
                 0.2428 
               
               
                   
               
               
                 |f/f7| 
                 ΣPPR 
                 ΣNPR 
                 ΣPPR/|ΣNPR| 
                 IN12/f 
                 IN67/f 
               
               
                   
               
               
                 0.0478 
                 0.6217 
                 0.5370 
                 1.1578 
                 11.6657 
                 0.2061 
               
               
                   
               
            
           
           
               
               
               
               
            
               
                 |f1/f2| 
                 |f2/f3| 
                 (TP1 + IN12)/TP2 
                 (TP7 + IN67)/TP6 
               
               
                   
               
               
                 6.2560 
                 0.3623 
                 5.3753 
                 0.5531 
               
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 HOS 
                 InTL 
                 HOS/HOI 
                 InS/HOS 
                 ODT % 
                 TDT % 
               
               
                   
               
               
                 124.8010 
                 117.8340 
                 20.8002 
                 0.1579 
                 −140.7650 
                 77.6837 
               
               
                   
               
               
                 HVT11 
                 HVT12 
                 HVT21 
                 HVT22 
                 HVT31 
                 HVT32 
               
               
                   
               
               
                 0.0000 
                 0.0000 
                 0.0000 
                 0.0000 
                 0.0000 
                 0.0000 
               
               
                   
               
               
                 HVT61 
                 HVT62 
                 HVT71 
                 HVT72 
                 HVT72/HOI 
                 HVT72/HOS 
               
               
                   
               
               
                 0.0000 
                 0.0000 
                 0.0000 
                 3.9383 
                 0.6564 
                 0.0316 
               
               
                   
               
               
                 PSTA 
                 PLTA 
                 NSTA 
                 NLTA 
                 SSTA 
                 SLTA 
               
               
                   
               
               
                   0.010 mm 
                   0.009 mm 
                   0.004 mm 
                   0.013 mm 
                 0.016 mm 
                   0.007 mm 
               
               
                   
               
               
                 VSFS0 
                 VSFS3 
                 VSFS7 
                 VTFS0 
                 VTFS3 
                 VTFS7 
               
               
                   
               
               
                 −0.000 mm 
                 −0.005 mm 
                 −0.005 mm 
                 −0.000 mm 
                 0.005 mm 
                 −0.000 mm 
               
               
                   
               
               
                 VSMTF0 
                 VSMTF3 
                 VSMTF7 
                 VTMTF0 
                 VTMTF3 
                 VTMTF7 
               
               
                   
               
               
                 0.632 
                 0.583 
                 0.497 
                 0.632 
                 0.575 
                 0.479 
               
               
                   
               
               
                 ISFS0 
                 ISFS3 
                 ISFS7 
                 ITFS0 
                 ITFS3 
                 ITFS7 
               
               
                   
               
               
                   0.010 mm 
                 −0.000 mm 
                 −0.020 mm 
                   0.010 mm 
                 0.010 mm 
                 −0.025 mm 
               
               
                   
               
               
                 ISMTF0 
                 ISMTF3 
                 ISMTF7 
                 ITMTF0 
                 ITMTF3 
                 ITMTF7 
               
               
                   
               
               
                 0.595 
                 0.454 
                 0.303 
                 0.595 
                 0.466 
                 0.268 
               
               
                   
               
               
                 FS 
                 AIFS 
                 AVFS 
                 AFS 
                   
                   
               
               
                   
               
               
                   0.010 mm 
                 −0.003 mm 
                 −0.001 mm 
                   0.002 mm 
               
               
                   
               
            
           
         
       
     
     The figures related to the profile curve lengths obtained based on Table 7 and Table 8 are listed in the following table: 
     
       
         
           
               
             
               
                   
               
               
                 Fourth embodiment (Reference wavelength: 555 nm) 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
               
            
               
                 ARE 
                 1/2(HEP) 
                 ARE value 
                 ARE-1/2(HEP) 
                 2(ARE/HEP) % 
                 TP 
                 ARE/TP (%) 
               
               
                   
               
               
                 11 
                 0.811 
                 0.810 
                 −0.00083 
                  99.90% 
                 21.000 
                  3.86% 
               
               
                 12 
                 0.811 
                 0.810 
                 −0.00074 
                  99.91% 
                 21.000 
                  3.86% 
               
               
                 21 
                 0.811 
                 0.810 
                 −0.00082 
                  99.90% 
                 9.538 
                  8.49% 
               
               
                 22 
                 0.811 
                 0.811 
                 0.00017 
                 100.02% 
                 9.538 
                  8.50% 
               
               
                 31 
                 0.811 
                 0.810 
                 −0.00076 
                  99.91% 
                 21.000 
                  3.86% 
               
               
                 32 
                 0.811 
                 0.810 
                 −0.00064 
                  99.92% 
                 21.000 
                  3.86% 
               
               
                 41 
                 0.811 
                 0.811 
                 −0.00027 
                  99.97% 
                 2.689 
                  30.15% 
               
               
                 42 
                 0.811 
                 0.811 
                 −0.00007 
                  99.99% 
                 2.689 
                  30.15% 
               
               
                 51 
                 0.811 
                 0.810 
                 −0.00047 
                  99.94% 
                 2.341 
                  34.62% 
               
               
                 52 
                 0.811 
                 0.811 
                 −0.00030 
                  99.96% 
                 2.341 
                  34.63% 
               
               
                 61 
                 0.811 
                 0.811 
                 0.00003 
                 100.00% 
                 4.122 
                  19.67% 
               
               
                 62 
                 0.811 
                 0.811 
                 −0.00019 
                  99.98% 
                 4.122 
                  19.66% 
               
               
                 71 
                 0.811 
                 0.811 
                 0.00004 
                 100.01% 
                 1.745 
                  46.46% 
               
               
                 72 
                 0.811 
                 0.810 
                 −0.00044 
                  99.95% 
                 1.745 
                  46.44% 
               
               
                   
               
               
                 ARS 
                 EHD 
                 ARS value 
                 ARS-EHD 
                 (ARS/EHD)% 
                 TP 
                 ARS/TP (%) 
               
               
                   
               
               
                 11 
                 114.351 
                 126.395 
                 12.043 
                 110.53% 
                 21.000 
                 601.88% 
               
               
                 12 
                 29.764 
                 50.253 
                 20.488 
                 168.84% 
                 21.000 
                 239.30% 
               
               
                 21 
                 24.068 
                 24.879 
                 0.811 
                 103.37% 
                 9.538 
                 260.85% 
               
               
                 22 
                 9.264 
                 12.649 
                 3.384 
                 136.53% 
                 9.538 
                 132.62% 
               
               
                 31 
                 9.218 
                 9.439 
                 0.222 
                 102.40% 
                 21.000 
                  44.95% 
               
               
                 32 
                 11.653 
                 12.252 
                 0.600 
                 105.15% 
                 21.000 
                  58.34% 
               
               
                 41 
                 4.759 
                 4.859 
                 0.101 
                 102.12% 
                 2.689 
                 180.72% 
               
               
                 42 
                 4.884 
                 4.955 
                 0.071 
                 101.46% 
                 2.689 
                 184.27% 
               
               
                 51 
                 4.914 
                 4.935 
                 0.022 
                 100.44% 
                 2.341 
                 210.86% 
               
               
                 52 
                 5.231 
                 5.393 
                 0.162 
                 103.10% 
                 2.341 
                 230.41% 
               
               
                 61 
                 5.743 
                 5.995 
                 0.253 
                 104.40% 
                 4.122 
                 145.44% 
               
               
                 62 
                 5.833 
                 6.154 
                 0.322 
                 105.51% 
                 4.122 
                 149.30% 
               
               
                 71 
                 5.561 
                 5.643 
                 0.082 
                 101.48% 
                 1.745 
                 323.33% 
               
               
                 72 
                 5.373 
                 5.406 
                 0.033 
                 100.62% 
                 1.745 
                 309.79% 
               
               
                   
               
            
           
         
       
     
     The results of the equations of the fourth embodiment based on Table 7 and Table 8 are listed in the following table: 
     
       
         
           
               
             
               
                   
               
               
                 Values related to the inflection points of the fourth embodiment 
               
               
                 (Reference wavelength: 555 nm) 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                 HIF511 
                 2.8984 
                 HIF511/HOI 
                 0.4831 
                 SGI511 
                 −0.2180 
                 |SGI511|/(|SGI511| + TP5) 
                 0.0852 
               
               
                 HIF512 
                 4.2830 
                 HIF512/HOI 
                 0.7138 
                 SGI512 
                 −0.3718 
                 |SGI512|/(|SGI512| + TP5) 
                 0.1371 
               
               
                 HIF711 
                 3.5328 
                 HIF711/HOI 
                 0.5888 
                 SGI711 
                 −0.5077 
                 |SGI711|/(|SGI711| + TP7) 
                 0.2254 
               
               
                 HIF721 
                 2.2481 
                 HIF721/HOI 
                 0.3747 
                 SGI721 
                 −0.1438 
                 |SGI721|/(|SGI721| + TP7) 
                 0.0761 
               
               
                   
               
            
           
         
       
     
     Fifth Embodiment 
     As shown in  FIG. 5A  and  FIG. 5B , an optical image capturing system of the fifth embodiment of the present invention includes, along an optical axis from an object side to an image side, a first lens  510 , a second lens  520 , a third lens  530 , an aperture  500 , a fourth lens  540 , a fifth lens  550 , a sixth lens  560 , a seventh lens  570 , an infrared rays filter  580 , an image plane  590 , and an image sensor  592 .  FIG. 5C  shows a transverse aberration diagram at 0.7 field of view of the fifth embodiment of the present invention.  FIG. 5D  is a diagram showing the through-focus MTF values of the visible light spectrum at the central field of view, 0.3 field of view, and 0.7 field of view of the fifth embodiment of the present invention.  FIG. 5E  is a diagram showing the through-focus MTF values of the infrared light spectrum at the central field of view, 0.3 field of view, and 0.7 field of view of the fifth embodiment of the present disclosure. 
     The first lens  510  has negative refractive power and is made of glass. 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 second lens  520  has negative refractive power and is made of glass. An object-side surface  522  thereof, which faces the object side, is a concave aspheric surface, and an image-side surface  524  thereof, which faces the image side, is a concave aspheric surface. The object-side surface  522  has an inflection point. 
     The third lens  530  has positive refractive power and is made of glass. An object-side surface  532 , which faces the object side, is a convex aspheric surface, and an image-side surface  534 , which faces the image side, is a convex aspheric surface. The object-side surface  532  has an inflection point. 
     The fourth lens  540  has positive refractive power and is made of plastic. An object-side surface  542 , which faces the object side, is a convex aspheric surface, and an image-side surface  544 , which faces the image side, is a convex aspheric surface. The object-side surface  542  has an inflection point. 
     The fifth lens  550  has negative refractive power and is made of plastic. An object-side surface  552 , which faces the object side, is a concave aspheric surface, and an image-side surface  554 , which faces the image side, is a concave aspheric surface. The object-side surface  552  has an inflection point, and the image-side surface  554  has two inflection points. 
     The sixth lens  560  has positive refractive power and is made of plastic. An object-side surface  562 , which faces the object side, is a convex aspheric surface, and an image-side surface  564 , which faces the image side, is a convex aspheric surface. The object-side surface  562  has an inflection point. Whereby, the incident angle of each view field could be adjusted to improve aberration. 
     The seventh lens  570  has negative refractive power and is made of plastic. An object-side surface  572 , which faces the object side, is a concave surface, and an image-side surface  574 , which faces the image side, is a convex surface. The object-side surface  572  and the image-side surface  574  both have an inflection point. It may help to shorten the back focal length to keep small in size. In addition, it may reduce an incident angle of the light of an off-axis field of view and correct the aberration of the off-axis field of view. 
     The infrared rays filter  570  is made of glass and between the seventh lens  570  and the image plane  590 . The infrared rays filter  570  gives no contribution to the focal length of the system. 
     The parameters of the lenses of the fifth embodiment are listed in Table 9 and Table 10. 
     
       
         
           
               
             
               
                 TABLE 9 
               
             
            
               
                   
               
               
                 f = 2.5476 mm; f/HEP = 1.6; HAF = 100 deg 
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                   
                   
                   
                   
                   
                   
                   
                 Focal 
               
            
           
           
               
               
               
               
               
               
               
            
               
                   
                 Radius of curvature 
                 Thickness 
                   
                 Refractive 
                 Abbe 
                 length 
               
               
                 Surface 
                 (mm) 
                 (mm) 
                 Material 
                 index 
                 number 
                 (mm) 
               
               
                   
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                 0 
                 Object 
                 1E+18 
                 1E+18 
                   
                   
                   
                   
               
               
                 1 
                 1 st  lens 
                 422.3797336 
                 5.325 
                 glass 
                 2.001 
                 29.13 
                 −21.134 
               
               
                 2 
                   
                 20.13645672 
                 16.735 
                   
                   
                   
                   
               
               
                 3 
                 2 nd  lens 
                 −46.67535661 
                 9.362 
                 glass 
                 1.497 
                 81.56 
                 −13.921 
               
               
                 4 
                   
                 8.689511396 
                 12.420 
                   
                   
                   
                   
               
               
                 5 
                 3 rd  lens 
                 116.1534168 
                 9.496 
                 glass 
                 2.002 
                 19.32 
                 24.018 
               
               
                 6 
                   
                 −29.43764072 
                 7.460 
                   
                   
                   
                   
               
               
                 7 
                 Aperture 
                 1E+18 
                 0.225 
                   
                   
                   
                   
               
               
                 8 
                 4 th  lens 
                 9.828482715 
                 2.521 
                 plastic 
                 1.544 
                 55.96 
                 9.466 
               
               
                 9 
                   
                 −9.905556538 
                 0.200 
                   
                   
                   
                   
               
               
                 10 
                 5 th  lens 
                 −21.8759728 
                 0.654 
                 plastic 
                 1.661 
                 20.40 
                 −6.474 
               
               
                 11 
                   
                 5.442205584 
                 0.224 
                   
                   
                   
                   
               
               
                 12 
                 6 th  lens 
                 5.60942038 
                 4.264 
                 plastic 
                 1.544 
                 55.96 
                 6.889 
               
               
                 13 
                   
                 −8.340838485 
                 0.382 
                   
                   
                   
                   
               
               
                 14 
                 7 th  lens 
                 −8.229570064 
                 0.546 
                 plastic 
                 1.661 
                 20.40 
                 −21.813 
               
               
                 15 
                   
                 −19.45624788 
                 6.478 
                   
                   
                   
                   
               
               
                 16 
                 Infrared 
                 1E+18 
                 1.550 
                 BK_7 
                 1.517 
                 64.2 
                   
               
               
                   
                 rays 
                   
                   
                   
                   
                   
                   
               
               
                   
                 filter 
                   
                   
                   
                   
                   
                   
               
               
                 17 
                   
                 1E+18 
                 0.461 
                   
                   
                   
                   
               
               
                 18 
                 Image 
                 1E+18 
                 −0.010 
                   
                   
                   
                   
               
               
                   
                 plane 
                   
                   
                   
                   
                   
                   
               
               
                   
               
               
                 Reference wavelength: 555 nm; the position of blocking light: the effective half diameter of the clear aperture of the first surface is 39.000 mm; the effective diameter of the clear aperture of the thirteenth surface is 4.490 mm. 
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 10 
               
               
                   
               
               
                 Coefficients of the aspheric surfaces 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                 Surface 
                 1 
                 2 
                 3 
                 4 
                 5 
                 6 
                 8 
               
               
                   
               
               
                 k 
                   4.654639E+01 
                   0.000000E+00 
                   0.000000E+00 
                   0.000000E+00 
                   7.863171E+01 
                 −4.823853E+00 
                 −1.560618E+01 
               
               
                 A4 
                   6.232796E−06 
                 −2.302790E−05 
                   2.494173E−05 
                   9.560846E−05 
                 −1.209355E−04 
                 −1.299938E−04 
                   1.253604E−03 
               
               
                 A6 
                 −1.339705E−09 
                   2.589581E−08 
                 −2.240256E−08 
                 −6.662419E−07 
                 −3.207299E−07 
                   9.851989E−07 
                 −7.863244E−05 
               
               
                 A8 
                   4.409286E−14 
                   1.589886E−11 
                   7.427334E−12 
                 −6.536767E−09 
                   1.077777E−08 
                 −6.266384E−09 
                   3.372428E−06 
               
               
                 A10 
                 −2.394721E−18 
                   3.293961E−14 
                   9.021052E−15 
                   1.838658E−10 
                 −6.816150E−11 
                   6.526565E−12 
                 −1.010607E−07 
               
               
                 A12 
                   0.000000E+00 
                   0.000000E+00 
                   0.000000E+00 
                   0.000000E+00 
                   0.000000E+00 
                   0.000000E+00 
                   0.000000E+00 
               
               
                   
               
               
                 Surface 
                 9 
                 10 
                 11 
                 12 
                 13 
                 14 
                 15 
               
               
                   
               
               
                 k 
                   3.163401E−01 
                   0.000000E+00 
                 −2.150698E−01 
                 −7.709144E−02 
                   3.672865E−01 
                   1.982630E−01 
                   5.502533E+00 
               
               
                 A4 
                   2.647003E−03 
                   1.302192E−03 
                 −3.782007E−03 
                 −2.751315E−03 
                 −5.207225E−04 
                 −5.584642E−05 
                   8.575613E−04 
               
               
                 A6 
                 −1.936000E−04 
                 −1.674594E−04 
                   6.098017E−05 
                   4.948233E−05 
                   2.677209E−05 
                 −6.710895E−05 
                 −6.401309E−05 
               
               
                 A8 
                   6.959131E−06 
                   6.869099E−06 
                 −6.292110E−08 
                   4.567442E−07 
                 −8.972603E−08 
                   6.813027E−06 
                   5.712426E−06 
               
               
                 A10 
                 −1.143419E−07 
                 −7.655374E−08 
                 −2.420471E−08 
                 −9.587696E−08 
                 −1.241054E−08 
                 −9.729343E−08 
                 −8.137282E−08 
               
               
                 A12 
                   0.000000E+00 
                   0.000000E+00 
                   0.000000E+00 
                   0.000000E+00 
                   0.000000E+00 
                   0.000000E+00 
                   0.000000E+00 
               
               
                   
               
            
           
         
       
     
     An equation of the aspheric surfaces of the fifth embodiment is the same as that of the first embodiment, and the definitions are the same as well. 
     The exact parameters of the fifth embodiment based on Table 9 and Table 10 are listed in the following table: 
     
       
         
           
               
             
               
                   
               
               
                 Fifth embodiment (Reference wavelength: 555 nm) 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 |f/f1| 
                 |f/f2| 
                 |f/f3| 
                 |f/f4| 
                 |f/f5| 
                 |f/f6| 
               
               
                   
               
               
                 0.1205 
                 0.1830 
                 0.1061 
                 0.2691 
                 0.3935 
                 0.3698 
               
               
                   
               
               
                 |f/f7| 
                 ΣPPR 
                 ΣNPR 
                 ΣPPR/|ΣNPR| 
                 IN12/f 
                 IN67/f 
               
               
                   
               
               
                 0.1168 
                 0.8656 
                 0.6933 
                 1.2484 
                 6.5689 
                 0.1499 
               
               
                   
               
            
           
           
               
               
               
               
            
               
                 |f1/f2| 
                 |f2/f3| 
                 (TP1 + IN12)/TP2 
                 (TP7 + IN67)/TP6 
               
               
                   
               
               
                 1.5181 
                 0.5796 
                 2.3564 
                 0.2176 
               
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 HOS 
                 InTL 
                 HOS/HOI 
                 InS/HOS 
                 ODT % 
                 TDT % 
               
               
                   
               
               
                 78.2920 
                 69.8134 
                 13.0487 
                 0.2234 
                 −141.5220 
                 97.9379 
               
               
                   
               
               
                 HVT11 
                 HVT12 
                 HVT21 
                 HVT22 
                 HVT31 
                 HVT32 
               
               
                   
               
               
                 0.0000 
                 0.0000 
                 0.0000 
                 0.0000 
                 4.2961 
                 0.0000 
               
               
                   
               
               
                 HVT61 
                 HVT62 
                 HVT71 
                 HVT72 
                 HVT72/HOI 
                 HVT72/HOS 
               
               
                   
               
               
                 0.0000 
                 0.0000 
                 0.0000 
                 3.6284 
                 0.6047 
                 0.0463 
               
               
                   
               
               
                 PSTA 
                 PLTA 
                 NSTA 
                 NLTA 
                 SSTA 
                 SLTA 
               
               
                   
               
               
                 −0.014 mm 
                 −0.002 mm 
                   0.002 mm 
                 −0.014 mm 
                   0.017 mm 
                   0.004 mm 
               
               
                   
               
               
                 VSFS0 
                 VSFS3 
                 VSFS7 
                 VTFS0 
                 VTFS3 
                 VTFS7 
               
               
                   
               
               
                 −0.005 mm 
                 −0.005 mm 
                 −0.000 mm 
                 −0.005 mm 
                 −0.005 mm 
                 −0.020 mm 
               
               
                   
               
               
                 VSMTF0 
                 VSMTF3 
                 VSMTF7 
                 VTMTF0 
                 VTMTF3 
                 VTMTF7 
               
               
                   
               
               
                 0.468 
                 0.450 
                 0.344 
                 0.468 
                 0.426 
                 0.310 
               
               
                   
               
               
                 ISFS0 
                 ISFS3 
                 ISFS7 
                 ITFS0 
                 ITFS3 
                 ITFS7 
               
               
                   
               
               
                 −0.005 mm 
                 −0.040 mm 
                   0.010 mm 
                 −0.005 mm 
                 −0.040 mm 
                 −0.005 mm 
               
               
                   
               
               
                 ISMTF0 
                 ISMTF3 
                 ISMTF7 
                 ITMTF0 
                 ITMTF3 
                 ITMTF7 
               
               
                   
               
               
                 0.279 
                 0.239 
                 0.161 
                 0.279 
                 0.216 
                 0.184 
               
               
                   
               
               
                 FS 
                 AIFS 
                 AVFS 
                 AFS 
                   
                   
               
               
                   
               
               
                   0.000 mm 
                 −0.014 mm 
                 −0.007 mm 
                   0.008 mm 
               
               
                   
               
            
           
         
       
     
     The figures related to the profile curve lengths obtained based on Table 9 and Table 10 are listed in the following table: 
     
       
         
           
               
             
               
                   
               
               
                 Fifth embodiment (Reference wavelength: 555 nm) 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
               
            
               
                 ARE 
                 1/2(HEP) 
                 ARE value 
                 ARE-1/2(HEP) 
                 2(ARE/REP) % 
                 TP 
                 ARE/TP (%) 
               
               
                   
               
               
                 11 
                 0.796 
                 0.796 
                 −0.00013 
                  99.98% 
                 5.325 
                  14.95% 
               
               
                 12 
                 0.796 
                 0.796 
                 0.00007 
                 100.01% 
                 5.325 
                  14.95% 
               
               
                 21 
                 0.796 
                 0.796 
                 −0.00010 
                  99.99% 
                 9.362 
                  8.50% 
               
               
                 22 
                 0.796 
                 0.797 
                 0.00099 
                 100.12% 
                 9.362 
                  8.51% 
               
               
                 31 
                 0.796 
                 0.796 
                 −0.00013 
                  99.98% 
                 9.496 
                  8.38% 
               
               
                 32 
                 0.796 
                 0.796 
                 −0.00004 
                 100.00% 
                 9.496 
                  8.38% 
               
               
                 41 
                 0.796 
                 0.797 
                 0.00072 
                 100.09% 
                 2.521 
                  31.61% 
               
               
                 42 
                 0.796 
                 0.797 
                 0.00066 
                 100.08% 
                 2.521 
                  31.61% 
               
               
                 51 
                 0.796 
                 0.796 
                 0.00003 
                 100.00% 
                 0.654 
                 121.65% 
               
               
                 52 
                 0.796 
                 0.799 
                 0.00255 
                 100.32% 
                 0.654 
                 122.04% 
               
               
                 61 
                 0.796 
                 0.799 
                 0.00244 
                 100.31% 
                 4.264 
                  18.73% 
               
               
                 62 
                 0.796 
                 0.797 
                 0.00110 
                 100.14% 
                 4.264 
                  18.70% 
               
               
                 71 
                 0.796 
                 0.797 
                 0.00112 
                 100.14% 
                 0.546 
                 146.11% 
               
               
                 72 
                 0.796 
                 0.796 
                 0.00008 
                 100.01% 
                 0.546 
                 145.92% 
               
               
                   
               
               
                 ARS 
                 EHD 
                 ARS value 
                 ARS-EHD 
                 (ARS/EHD) % 
                 TP 
                 ARS/TP (%) 
               
               
                   
               
               
                 11 
                 39.000 
                 42.095 
                 3.095 
                 107.94% 
                 5.325 
                 790.50% 
               
               
                 12 
                 19.703 
                 26.600 
                 6.896 
                 135.00% 
                 5.325 
                 499.51% 
               
               
                 21 
                 19.125 
                 19.211 
                 0.086 
                 100.45% 
                 9.362 
                 205.20% 
               
               
                 22 
                 8.071 
                 10.594 
                 2.522 
                 131.25% 
                 9.362 
                 113.16% 
               
               
                 31 
                 7.292 
                 7.296 
                 0.004 
                 100.05% 
                 9.496 
                  76.83% 
               
               
                 32 
                 7.209 
                 7.325 
                 0.116 
                 101.61% 
                 9.496 
                  77.14% 
               
               
                 41 
                 4.173 
                 4.249 
                 0.076 
                 101.82% 
                 2.521 
                 168.58% 
               
               
                 42 
                 4.110 
                 4.182 
                 0.072 
                 101.75% 
                 2.521 
                 165.93% 
               
               
                 51 
                 3.926 
                 3.946 
                 0.020 
                 100.52% 
                 0.654 
                 603.01% 
               
               
                 52 
                 4.030 
                 4.151 
                 0.121 
                 103.01% 
                 0.654 
                 634.32% 
               
               
                 61 
                 4.247 
                 4.433 
                 0.186 
                 104.39% 
                 4.264 
                 103.97% 
               
               
                 62 
                 4.490 
                 4.781 
                 0.291 
                 106.49% 
                 4.264 
                 112.13% 
               
               
                 71 
                 4.377 
                 4.552 
                 0.174 
                 103.99% 
                 0.546 
                 834.17% 
               
               
                 72 
                 4.362 
                 4.378 
                 0.016 
                 100.37% 
                 0.546 
                 802.39% 
               
               
                   
               
            
           
         
       
     
     The results of the equations of the fifth embodiment based on Table 9 and Table 10 are listed in the following table: 
     
       
         
           
               
             
               
                   
               
               
                 Values related to the inflection points of the fifth embodiment 
               
               
                 (Reference wavelength: 555 nm) 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                 HIF211 
                 9.7821 
                 HIF211/HOI 
                 1.6303 
                 SGI211 
                 −0.8271 
                 |SGI211|/(|SGI211| + TP2) 
                 0.0812 
               
               
                 HIF311 
                 2.4717 
                 HIF311/HOI 
                 0.4120 
                 SGI211 
                 0.0220 
                 |SGI311|/(|SGI311| + TP3) 
                 0.0023 
               
               
                 HIF411 
                 3.4647 
                 HIF411/HOI 
                 0.5775 
                 SGI411 
                 0.5456 
                 |SGI411|/(|SGI411| + TP4) 
                 0.1779 
               
               
                 HIF511 
                 3.8496 
                 HIF511/HOI 
                 0.6416 
                 SGI511 
                 −0.3238 
                 |SGI511|/(|SGI511| + TP5) 
                 0.3310 
               
               
                 HIF521 
                 2.9810 
                 HIF521/HOI 
                 0.4968 
                 SGI521 
                 0.6136 
                 |SGI521|/(|SGI521| + TP5) 
                 0.4839 
               
               
                 HIF522 
                 3.8137 
                 HIF522/HOI 
                 0.6356 
                 SGI522 
                 0.8671 
                 |SGI522|/(|SGI522| + TP5) 
                 0.5699 
               
               
                 HIF611 
                 3.5954 
                 HIF611/HOI 
                 0.5992 
                 SGI611 
                 0.9142 
                 |SGI611|/(|SGI611| + TP6) 
                 0.1766 
               
               
                 HIF711 
                 3.4465 
                 HIF711/HOI 
                 0.5744 
                 SGI711 
                 −0.7719 
                 |SGI711|/(|SGI711| + TP7) 
                 0.5859 
               
               
                 HIF721 
                 2.5598 
                 HIF721/HOI 
                 0.4266 
                 SGI721 
                 −0.1451 
                 |SGI721|/(|SGI721| + TP7) 
                 0.2100 
               
               
                   
               
            
           
         
       
     
     Sixth Embodiment 
     As shown in  FIG. 6A  and  FIG. 6B , an optical image capturing system of the sixth embodiment of the present invention includes, along an optical axis from an object side to an image side, a first lens  610 , a second lens  620 , a third lens  630 , an aperture  600 , a fourth lens  640 , a fifth lens  650 , a sixth lens  660 , a seventh lens  670 , an infrared rays filter  680 , an image plane  690 , and an image sensor  692 .  FIG. 6C  shows a transverse aberration diagram at 0.7 field of view of the sixth embodiment of the present invention.  FIG. 6D  is a diagram showing the through-focus MTF values of the visible light spectrum at the central field of view, 0.3 field of view, and 0.7 field of view of the sixth embodiment of the present invention.  FIG. 6E  is a diagram showing the through-focus MTF values of the infrared light spectrum at the central field of view, 0.3 field of view, and 0.7 field of view of the sixth embodiment of the present disclosure. 
     The first lens  610  has negative refractive power and is made of glass. 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 second lens  620  has negative refractive power and is made of glass. 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  has an inflection point. 
     The third lens  630  has positive refractive power and is made of plastic. An object-side surface  632 , which faces the object side, is a concave aspheric surface, and an image-side surface  634 , which faces the image side, is a convex aspheric surface. 
     The fourth lens  640  has positive refractive power and is made of plastic. An object-side surface  642 , which faces the object side, is a convex spherical surface, and an image-side surface  644 , which faces the image side, is a convex spherical surface. 
     The fifth lens  650  has negative refractive power and is made of plastic. An object-side surface  652 , which faces the object side, is a concave aspheric surface, and an image-side surface  654 , which faces the image side, is a concave aspheric surface. 
     The sixth lens  660  has positive refractive power and is made of plastic. An object-side surface  662 , which faces the object side, is a convex aspheric surface, and an image-side surface  664 , which faces the image side, is a convex aspheric surface. Whereby, the incident angle of each view field could be adjusted to improve aberration. 
     The seventh lens  670  has negative refractive power and is made of plastic. An object-side surface  672 , which faces the object side, is a concave surface, and an image-side surface  674 , which faces the image side, is a concave surface. The image-side surface  674  has an inflection point. It may help to shorten the back focal length to keep small in size. In addition, it may reduce an incident angle of the light of an off-axis field of view and correct the aberration of the off-axis field of view. 
     The infrared rays filter  680  is made of glass and between the seventh lens  670  and the image plane  690 . The infrared rays filter  680  gives no contribution to the focal length of the system. 
     The parameters of the lenses of the sixth embodiment are listed in Table 11 and Table 12. 
     
       
         
           
               
             
               
                 TABLE 11 
               
             
            
               
                   
               
               
                 f = 3.0145 mm; f/HEP = 1.6; HAF = 100 deg 
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                   
                   
                   
                   
                   
                   
                   
                 Focal 
               
            
           
           
               
               
               
               
               
               
               
            
               
                   
                 Radius of curvature 
                 Thickness 
                   
                 Refractive 
                 Abbe 
                 length 
               
               
                 Surface 
                 (mm) 
                 (mm) 
                 Material 
                 index 
                 number 
                 (mm) 
               
               
                   
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                 0 
                 Object 
                 1E+18 
                 1E+18 
                   
                   
                   
                   
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                 1 
                 1 st  lens 
                 70.11502755 
                 4.224 
                 glass 
                 1.564 
                 60.83 
                 −51.850 
               
               
                 2 
                   
                 20.13480972 
                 16.630 
                   
                   
                   
                   
               
               
                 3 
                 2 nd  lens 
                 75.9703764 
                 2.742 
                 glass 
                 1.702 
                 41.15 
                 −15.768 
               
               
                 4 
                   
                 9.591795449 
                 11.025 
                   
                   
                   
                   
               
               
                 5 
                 3 rd  lens 
                 −21.3115197 
                 13.828 
                 plastic 
                 1.661 
                 20.40 
                 34.535 
               
               
                 6 
                   
                 −13.99907941 
                 10.753 
                   
                   
                   
                   
               
               
                 7 
                 Aperture 
                 1E+18 
                 0.206 
                   
                   
                   
                   
               
               
                 8 
                 4 th  lens 
                 9.607535629 
                 2.249 
                 plastic 
                 1.544 
                 55.96 
                 10.385 
               
               
                 9 
                   
                 −12.46482446 
                 0.518 
                   
                   
                   
                   
               
               
                 10 
                 5 th  lens 
                 −30.50238209 
                 0.698 
                 plastic 
                 1.661 
                 20.40 
                 −9.753 
               
               
                 11 
                   
                 8.27386019 
                 0.490 
                   
                   
                   
                   
               
               
                 12 
                 6 th  lens 
                 6.772530749 
                 7.210 
                 plastic 
                 1.544 
                 55.96 
                 8.645 
               
               
                 13 
                   
                 −9.676681523 
                 0.464 
                   
                   
                   
                   
               
               
                 14 
                 7 th  lens 
                 −21.62446642 
                 3.995 
                 plastic 
                 1.661 
                 20.40 
                 −14.604 
               
               
                 15 
                   
                 18.94872291 
                 0.452 
                   
                   
                   
                   
               
               
                 16 
                 Infrared 
                 1E+18 
                 1.000 
                 BK_7 
                 1.517 
                 64.2 
                   
               
               
                   
                 rays 
                   
                   
                   
                   
                   
                   
               
               
                   
                 filter 
                   
                   
                   
                   
                   
                   
               
               
                 17 
                   
                 1E+18 
                 1.005 
                   
                   
                   
                   
               
               
                 18 
                 Image 
                 1E+18 
                 −0.005 
                   
                   
                   
                   
               
               
                   
                 plane 
                   
                   
                   
                   
                   
                   
               
               
                   
               
               
                 Reference wavelength: 555 nm; the position of blocking light: none. 
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 12 
               
               
                   
               
               
                 Coefficients of the aspheric surfaces 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                 Surface 
                 1 
                 2 
                 3 
                 4 
                 5 
                 6 
                 8 
               
               
                   
               
               
                 k 
                   9.997289E−01 
                   0.000000E+00 
                   0.000000E+00 
                   0.000000E+00 
                   0.000000E+00 
                 −6.991219E−01 
                 −3.446971E−01 
               
               
                 A4 
                   6.151231E−08 
                   9.316681E−06 
                   2.072640E−05 
                 −6.537710E−05 
                 −8.508985E−05 
                   4.079449E−05 
                   7.114546E−05 
               
               
                 A6 
                 −1.509269E−10 
                   1.285632E−08 
                 −2.441236E−08 
                   2.764024E−08 
                   4.984317E−07 
                 −1.308318E−07 
                 −1.632271E−07 
               
               
                 A8 
                   2.456007E−14 
                 −2.461372E−21 
                 −1.019337E−11 
                   2.996234E−09 
                 −5.507962E−10 
                   2.189337E−10 
                   1.308598E−07 
               
               
                 A10 
                 −2.892898E−17 
                 −1.148852E−24 
                 −3.131755E−15 
                   4.655406E−20 
                 −1.520489E−11 
                 −1.637919E−12 
                 −7.430792E−09 
               
               
                 A12 
                   0.000000E+00 
                   0.000000E+00 
                   0.000000E+00 
                   0.000000E+00 
                   0.000000E+00 
                   0.000000E+00 
                   0.000000E+00 
               
               
                   
               
               
                 Surface 
                 9 
                 10 
                 11 
                 12 
                 13 
                 14 
                 15 
               
               
                   
               
               
                 k 
                   0.000000E+00 
                   0.000000E+00 
                   0.000000E+00 
                   0.000000E+00 
                   0.000000E+00 
                   0.000000E+00 
                   0.000000E+00 
               
               
                 A4 
                   8.755948E−04 
                   7.020672E−04 
                 −3.753123E−04 
                 −7.531434E−04 
                   3.489045E−04 
                 −9.921789E−04 
                 −6.618163E−04 
               
               
                 A6 
                 −1.306932E−05 
                 −1.708084E−05 
                 −8.164472E−06 
                 −4.058472E−06 
                   7.057471E−06 
                   6.674084E−06 
                 −3.322863E−06 
               
               
                 A8 
                 −1.406677E−07 
                 −2.959662E−07 
                   1.215639E−07 
                   1.775085E−07 
                   2.083656E−08 
                   1.296766E−07 
                 −7.076644E−08 
               
               
                 A10 
                   1.457487E−09 
                   1.332265E−08 
                 −1.835685E−09 
                 −1.020327E−08 
                 −3.556652E−09 
                 −2.741156E−09 
                   4.695574E−09 
               
               
                 A12 
                   0.000000E+00 
                   0.000000E+00 
                   0.000000E+00 
                   0.000000E+00 
                   0.000000E+00 
                   0.000000E+00 
                   0.000000E+00 
               
               
                   
               
            
           
         
       
     
     An equation of the aspheric surfaces of the sixth embodiment is the same as that of the first embodiment, and the definitions are the same as well. 
     The exact parameters of the sixth embodiment based on Table 11 and Table 12 are listed in the following table: 
     
       
         
           
               
             
               
                   
               
               
                 Sixth embodiment (Reference wavelength: 555 nm) 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 |f/f1| 
                 |f/f2| 
                 |f/f3| 
                 |f/f4| 
                 |f/f5| 
                 |f/f6| 
               
               
                   
               
               
                 0.0581 
                 0.1912 
                 0.0873 
                 0.2903 
                 0.3091 
                 0.3487 
               
               
                   
               
               
                 |f/f7| 
                 ΣPPR 
                 ΣNPR 
                 ΣPPR/|ΣNPR| 
                 IN12/f 
                 IN67/f 
               
               
                   
               
               
                 0.2064 
                 1.0935 
                 0.3976 
                 2.7503 
                 5.4894 
                 0.1505 
               
               
                   
               
            
           
           
               
               
               
               
            
               
                 |f1/f2| 
                 |f2/f3| 
                 (TP1 + IN12)/TP2 
                 (TP7 + IN67)/TP6 
               
               
                   
               
               
                 3.2883 
                 0.4566 
                 7.5952 
                 0.6108 
               
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 HOS 
                 InTL 
                 HOS/HOI 
                 InS/HOS 
                 ODT % 
                 TDT % 
               
               
                   
               
               
                 77.3995 
                 74.9614 
                 12.8999 
                 0.2382 
                 −127.8020 
                 82.6333 
               
               
                   
               
               
                 HVT11 
                 HVT12 
                 HVT21 
                 HVT22 
                 HVT31 
                 HVT32 
               
               
                   
               
               
                 0.0000 
                 0.0000 
                 0.0000 
                 0.0000 
                 0.0000 
                 0.0000 
               
               
                   
               
               
                 HVT61 
                 HVT62 
                 HVT71 
                 HVT72 
                 HVT72/HOI 
                 HVT72/HOS 
               
               
                   
               
               
                 0.0000 
                 0.0000 
                 0.0000 
                 4.2008 
                 0.7001 
                 0.0543 
               
               
                   
               
               
                 PSTA 
                 PLTA 
                 NSTA 
                 NLTA 
                 SSTA 
                 SLTA 
               
               
                   
               
               
                 −0.013 mm 
                   0.012 mm 
                   0.007 mm 
                   0.018 mm 
                 0.001 mm 
                 −0.007 mm 
               
               
                   
               
               
                 VSFS0 
                 VSFS3 
                 VSFS7 
                 VTFS0 
                 VTFS3 
                 VTFS7 
               
               
                   
               
               
                 −0.000 mm 
                 −0.005 mm 
                 −0.010 mm 
                 −0.000 mm 
                 0.005 mm 
                 −0.000 mm 
               
               
                   
               
               
                 VSMTF0 
                 VSMTF3 
                 VSMTF7 
                 VTMTF0 
                 VTMTF3 
                 VTMTF7 
               
               
                   
               
               
                 0.628 
                 0.631 
                 0.560 
                 0.628 
                 0.503 
                 0.264 
               
               
                   
               
               
                 ISFS0 
                 ISFS3 
                 ISFS7 
                 ITFS0 
                 ITFS3 
                 ITFS7 
               
               
                   
               
               
                   0.005 mm 
                 −0.000 mm 
                 −0.010 mm 
                   0.005 mm 
                 0.005 mm 
                 −0.005 mm 
               
               
                   
               
               
                 ISMTF0 
                 ISMTF3 
                 ISMTF7 
                 ITMTF0 
                 ITMTF3 
                 ITMTF7 
               
               
                   
               
               
                 0.747 
                 0.563 
                 0.377 
                 0.747 
                 0.453 
                 0.252 
               
               
                   
               
               
                 FS 
                 AIFS 
                 AVFS 
                 AFS 
                   
                   
               
               
                   
               
               
                   0.005 mm 
                 −0.000 mm 
                 −0.002 mm 
                   0.002 mm 
               
               
                   
               
            
           
         
       
     
     The figures related to the profile curve lengths obtained based on Table 11 and Table 12 are listed in the following table: 
     
       
         
           
               
             
               
                   
               
               
                 Sixth embodiment (Reference wavelength: 555 nm) 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
               
            
               
                 ARE 
                 1/2(HEP)  
                 ARE value 
                 ARE-1/2(HEP) 
                 2(ARE/HEP) % 
                 TP 
                 ARE/TP (%) 
               
               
                   
               
               
                 11 
                 0.937 
                 0.937 
                 −0.00039 
                  99.96% 
                 4.224 
                  22.18% 
               
               
                 12 
                 0.937 
                 0.937 
                 −0.00008 
                  99.99% 
                 4.224 
                  22.19% 
               
               
                 21 
                 0.937 
                 0.937 
                 −0.00040 
                  99.96% 
                 2.742 
                  34.17% 
               
               
                 22 
                 0.937 
                 0.938 
                 0.00107 
                 100.11% 
                 2.742 
                  34.22% 
               
               
                 31 
                 0.937 
                 0.937 
                 −0.00012 
                  99.99% 
                 13.828 
                   6.78% 
               
               
                 32 
                 0.937 
                 0.938 
                 0.00028 
                 100.03% 
                 13.828 
                   6.78% 
               
               
                 41 
                 0.937 
                 0.938 
                 0.00107 
                 100.11% 
                 2.249 
                  41.73% 
               
               
                 42 
                 0.937 
                 0.938 
                 0.00042 
                 100.05% 
                 2.249 
                  41.70% 
               
               
                 51 
                 0.937 
                 0.937 
                 −0.00029 
                  99.97% 
                 0.698 
                  134.32% 
               
               
                 52 
                 0.937 
                 0.939 
                 0.00157 
                 100.17% 
                 0.698 
                  134.59% 
               
               
                 61 
                 0.937 
                 0.940 
                 0.00253 
                 100.27% 
                 7.210 
                  13.04% 
               
               
                 62 
                 0.937 
                 0.938 
                 0.00103 
                 100.11% 
                 7.210 
                  13.02% 
               
               
                 71 
                 0.937 
                 0.937 
                 −0.00010 
                  99.99% 
                 3.995 
                  23.46% 
               
               
                 72 
                 0.937 
                 0.937 
                 −0.00006 
                  99.99% 
                 3.995 
                  23.46% 
               
               
                   
               
               
                 ARS 
                 EHD 
                 ARS value 
                 ARS-EHD 
                 (ARS/EHD) % 
                 TP 
                 ARS/TP (%) 
               
               
                   
               
               
                 11 
                 47.641 
                 55.094 
                 7.453 
                 115.64% 
                 4.224 
                 1304.32% 
               
               
                 12 
                 20.018 
                 31.378 
                 11.360 
                 156.75% 
                 4.224 
                  742.85% 
               
               
                 21 
                 18.970 
                 19.500 
                 0.530 
                 102.79% 
                 2.742 
                  711.12% 
               
               
                 22 
                 9.537 
                 13.803 
                 4.266 
                 144.73% 
                 2.742 
                  503.35% 
               
               
                 31 
                 9.504 
                 10.026 
                 0.522 
                 105.49% 
                 13.828 
                  72.50% 
               
               
                 32 
                 10.530 
                 11.384 
                 0.855 
                 108.12% 
                 13.828 
                  82.33% 
               
               
                 41 
                 4.437 
                 4.611 
                 0.174 
                 103.93% 
                 2.249 
                  205.02% 
               
               
                 42 
                 4.489 
                 4.539 
                 0.049 
                 101.10% 
                 2.249 
                  201.80% 
               
               
                 51 
                 4.503 
                 4.507 
                 0.004 
                 100.09% 
                 0.698 
                  645.95% 
               
               
                 52 
                 4.578 
                 4.759 
                 0.181 
                 103.96% 
                 0.698 
                  682.08% 
               
               
                 61 
                 4.993 
                 5.317 
                 0.324 
                 106.49% 
                 7.210 
                  73.75% 
               
               
                 62 
                 5.130 
                 5.283 
                 0.152 
                 102.97% 
                 7.210 
                  73.27% 
               
               
                 71 
                 5.055 
                 5.242 
                 0.188 
                 103.71% 
                 3.995 
                  131.22% 
               
               
                 72 
                 5.818 
                 5.831 
                 0.013 
                 100.22% 
                 3.995 
                  145.96% 
               
               
                   
               
            
           
         
       
     
     The results of the equations of the sixth embodiment based on Table 11 and Table 12 are listed in the following table: 
     
       
         
           
               
             
               
                   
               
               
                 Values related to the inflection points of the sixth embodiment 
               
               
                 (Reference wavelength: 555 nm) 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                 HIF211 
                 17.4438 
                 HIF211/HOI 
                 2.9073 
                 SGI211 
                 3.2816 
                 |SGI211|/(|SGI211| + TP2) 
                 0.5481 
               
               
                 HIF721 
                  2.4565 
                 HIF721/HOI 
                 0.4094 
                 SGI721 
                 0.1273 
                 |SGI721|/(|SGI721| + TP7) 
                 0.0314 
               
               
                   
               
            
           
         
       
     
     It must be pointed out that the embodiments described above are only some embodiments of the present invention. All equivalent structures which employ the concepts disclosed in this specification and the appended claims should fall within the scope of the present invention.