Optical image capturing system

An optical image capturing system, from an object side to an image side, comprising:

• a first lens element with refractive power;
• a second lens element with refractive power;
• a third lens element with refractive power;
• a fourth lens element with refractive power;
• and
• an image plane;
• wherein the optical image capturing system consists of the four lens elements with refractive power, at least one of the first through fourth lens elements has positive refractive power, an object-side surface and an image-side surface of the fourth lens element are aspheric, focal lengths of the first through fourth lens elements are f1, f2, f3 and f4 respectively, a focal length of the optical image capturing system is f, an entrance pupil diameter of the optical image capturing system is HEP, a distance on an optical axis from an object-side surface of the first lens element to the image plane is HOS, a distance on an optical axis from the object-side surface of the first lens element to the image-side surface of the fourth lens element is InTL, a length of outline curve from an axial point on any surface of any one of the four lens elements to a coordinate point of vertical height with a distance of a half of the entrance pupil diameter from the optical axis on the surface along an outline of the surface is denoted as ARE, and the following relations are satisfied:
• 1.2≦f/HEP≦6.0, 0.5≦HOS/f≦20, 0<InTL/HOS<0.9 and 0.1≦2(ARE/HEP)≦2.0, and
• wherein a length of outline curve from an axial point on the object-side surface of the first lens element to a coordinate point of vertical height with a distance of a half of the entrance pupil diameter from the optical axis on the surface along an outline of the surface is denoted as ARE11;
• a length of outline curve from an axial point on the image-side surface of the first lens element to the coordinate point of vertical height with the distance of a half of the entrance pupil diameter from the optical axis on the surface along the outline of the surface is denoted as ARE12, and a thickness of the first lens element on the optical axis is TP1, and the following relations are satisfied:
• 0.5≦ARE11/TP1≦20 and 0.5≦ARE12/TP1≦20, and
• wherein TV distortion for image formation in the optical image capturing system is TDT, a visible spectrum has a height for image formation on the image plane perpendicular to the optical axis that is denoted by HOI, a lateral aberration of the longest operation wavelength of a positive direction tangential fan of the optical image capturing system passing through an edge of the entrance pupil and incident on the image plane by 0.7 HOI is denoted as PLTA, and a lateral aberration of the shortest operation wavelength of the positive direction tangential fan of the optical image capturing system passing through the edge of the entrance pupil and incident on the image plane by 0.7 HOI is denoted as PSTA, a lateral aberration of the longest operation wavelength of a negative direction tangential fan of the optical image capturing system passing through the edge of the entrance pupil and incident on the image plane by 0.7 HOI is denoted as NLTA, a lateral aberration of the shortest operation wavelength of a negative direction tangential fan of the optical image capturing system passing through the edge of the entrance pupil and incident on the image plane by 0.7 HOI is denoted as NSTA, a lateral aberration of the longest operation wavelength of a sagittal fan of the optical image capturing system passing through the edge of the entrance pupil and incident on the image plane by 0.7 HOI is denoted as SLTA, a lateral aberration of the shortest operation wavelength of the sagittal fan of the optical image capturing system passing through the edge of the entrance pupil and incident on the image plane by 0.7 HOI is denoted as SSTA, and the following relations are satisfied:
• PLTA≦50 μm, PSTA≦50 μm, NLTA≦50 μm, NSTA≦50 μm, SLTA≦50 μm and SSTA≦20 μm;
• |TDT|<100%.