Optical image capturing system

1. 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 comprises four lens elements with refractive power, at least one of the four lens elements has positive refractive power; focal lengths of the four lens elements are respectively f1, f2, f3 and f4; a focal length of the optical image capturing system is f, and 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 the optical axis from the object-side surface of the first lens element to an image-side surface of the fourth lens element is InTL, half of a maximum viewable angle of the optical image capturing system is denoted by HAF; an outline curve starting from an axial point on any surface of any one of the four lens elements, tracing along an outline of the surface, and ending at a coordinate point on the surface that has a vertical height of ½ entrance pupil diameter from the optical axis, has a length denoted by ARE; conditions as follows are satisfied: 1≤f/HEP≤10, 0 deg≤HAF≤150 deg, and 0.9≤2 (ARE/HEP)≤2.0.

2. The optical image capturing system of claim 1 , wherein TV distortion for image formation in the optical image capturing system is TDT; the optical image capturing system has a maximum image height HOI on the image plane perpendicular to the optical axis, transverse aberration of a longest operation wavelength of a positive direction tangential fan of the optical image capturing system passing through an edge of an entrance pupil and incident at a position of 0.7 HOI on the image plane is denoted by PLTA, and transverse aberration of a 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 at the position of 0.7 HOI on the image plane is denoted by PSTA; transverse 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 at the position of 0.7 HOI on the image plane is denoted by NLTA, and transverse 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 at the position of 0.7 HOI on the image plane is denoted by NSTA; transverse 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 at the position of 0.7 HOI on the image plane is denoted by SLTA, transverse 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 at the position of 0.7 HOI on the image plane is denoted by SSTA; conditions as follows are satisfied: PLTA≤100 μm; PSTA≤100 μm; NLTA≤100 μm; NSTA≤100 μm; SLTA≤100 μm; and SSTA≤100 μm; and |TDT|<100%.

3. The optical image capturing system of claim 1 , wherein a maximum effective half diameter of any surface of any one of the four lens elements is denoted by EHD; an outline curve starting from the axial point on any surface of any one of those lens elements, tracing along an outline of the surface, and ending at a point which defines the maximum effective half diameter, has a length denoted by ARS; conditions as follows are satisfied: 0.9≤ARS/EHD≤2.0.

4. The optical image capturing system of claim 1 , satisfying conditions as follows: 0 mm<HOS≤50 mm.

5. The optical image capturing system of claim 1 , wherein the image plane is a plane or a curved surface.

6. The optical image capturing system of claim 1 , wherein the outline curve starting from the axial point on the object-side surface of the fourth lens elements, tracing along the outline of the object-side surface, and ending at the coordinate point on the surface that has the vertical height of ½ entrance pupil diameter from the optical axis, has the length denoted by ARE41; the outline curve starting from the axial point on the image-side surface of the fourth lens elements, tracing along the outline of the image-side surface, and ending at the coordinate point on the surface that has a vertical height of ½ entrance pupil diameter from the optical axis, has the length denoted by ARE42; a central thickness of the fourth lens element on the optical axis is TP4, which satisfies conditions as follows: 0.05≤ARE41/TP4≤25 and 0.05≤ARE42/TP4≤25.

7. The optical image capturing system of claim 1 , wherein the outline curve starting from the axial point on the object-side surface of the third lens elements, tracing along the outline of the object-side surface, and ending at the coordinate point on the surface that has the vertical height of ½ entrance pupil diameter from the optical axis, has the length denoted by ARE31; the outline curve starting from the axial point on the image-side surface of the third lens elements, tracing along the outline of the image-side surface, and ending at the coordinate point on the surface that has the vertical height of ½ entrance pupil diameter from the optical axis, has the length denoted by ARE32; a central thickness of the third lens element on the optical axis is TP3, which satisfies conditions as follows: 0.05≤ARE31/TP3≤25 and 0.05≤ARE32/TP3≤25.

8. The optical image capturing system of claim 1 , wherein the first lens element has negative refractive power.

9. The optical image capturing system of claim 1 , further comprising an aperture stop; wherein a distance from the aperture stop to the image plane on the optical axis is InS, which satisfies condition as follows: 0.2≤InS/HOS≤1.1.

10. 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 comprises four lens elements with refractive power, at least one of the four lens elements has at least one inflection point on at least one surface thereof; at least one of the second lens element to fourth lens element has positive refractive power; focal lengths of the four lens elements are respectively f1, f2, f3 and f4; 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 the optical axis from the object-side surface of the first lens element to an image-side surface of the fourth lens element is InTL, half of a maximum viewable angle of the optical image capturing system is denoted by HAF; an outline curve starting from an axial point on any surface of any one of the four lens elements, tracing along an outline of the surface, and ending at a coordinate point on the surface that has a vertical height of ½ entrance pupil diameter from the optical axis, has a length denoted by ARE; conditions as follows are satisfied: 1≤f/HEP≤10, 0 deg≤HAF≤150 deg, and 0.9≤2 (ARE/HEP)≤2.0.

11. The optical image capturing system of claim 10 , wherein a maximum effective half diameter of any surface of any one of the four lens elements is denoted by EHD; an outline curve starting from the axial point on any surface of any one of those lens elements, tracing along an outline of the surface, and ending at a point which defines the maximum effective half diameter, has a length denoted by ARS; conditions as follows are satisfied: 0.9≤ARS/EHD≤2.0.

12. The optical image capturing system of claim 10 , wherein at least one of the object-side surface and the image-side surface of the fourth lens element has at least one inflection point.

13. The optical image capturing system of claim 10 , wherein the optical image capturing system has a maximum image height HOI on the image plane perpendicular to the optical axis; transverse aberration of a longest operation wavelength of a positive direction tangential fan of the optical image capturing system passing through an edge of an entrance pupil and incident at a position of 0.7 HOI on the image plane is denoted by PLTA, and transverse aberration of a 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 at the position of 0.7 HOI on the image plane is denoted by PSTA; transverse 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 at the position of 0.7 HOI on the image plane is denoted by NLTA, and transverse aberration of the shortest operation wavelength of the negative direction tangential fan of the optical image capturing system passing through the edge of the entrance pupil and incident at the position of 0.7 HOI on the image plane is denoted by NSTA; transverse 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 at the position of 0.7 HOI on the image plane is denoted by SLTA, transverse 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 at the position of 0.7 HOI on the image plane is denoted by SSTA; conditions as follows are satisfied: PLTA≤50 μm; PSTA≤50 μm; NLTA≤50 μm; NSTA≤50 μm; SLTA≤50 μm; and SSTA≤50 μm.

14. The optical image capturing system of claim 10 , wherein the first lens element has negative refractive power.

15. The optical image capturing system of claim 10 , wherein a distance on the optical axis between the first lens element and the second lens element is IN12, which satisfies condition as follows: 0<IN12/f≤60.

16. The optical image capturing system of claim 10 , wherein a distance on the optical axis between the third lens element and the fourth lens element is IN34, which satisfies condition as follows: 0<IN34/f≤5.

17. The optical image capturing system of claim 10 , wherein a distance on the optical axis between the third lens element and the fourth lens element is IN34, central thicknesses of the third lens element and the fourth lens element on the optical axis are respectively TP3 and TP4, which satisfy condition as follows: 1≤(TP4+IN34)/TP3≤10.

18. The optical image capturing system of claim 10 , wherein a distance on the optical axis between the first lens element and the second lens element is IN12, central thicknesses of the first lens element and the second lens element on the optical axis are respectively TP1 and TP2, which satisfy condition as follows: 1≤(TP1+IN12)/TP2≤10.

19. The optical image capturing system of claim 10 , wherein at least one lens element among the first lens element, the second lens element, the third lens element and the fourth lens element is a filter element of light with wavelength of less than 500 nm.

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

a first lens element with negative refractive power;

a second lens element with refractive power;

a third lens element with refractive power;

a fourth lens element with refractive power; at least one of an object-side surface and an image-side surface thereof having at least one inflection point; and

an image plane;

wherein the optical image capturing system comprises four lens elements with refractive power, at least one lens element among the first lens elements to the third lens element has at least one inflection point on at least one surface thereof;

focal lengths of the first lens element to the fourth lens elements are respectively f1, f2, f3 and f4; 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 the optical axis from the object-side surface of the first lens element to the image-side surface of the fourth lens element is InTL, half of a maximum viewable angle of the optical image capturing system is denoted by HAF; an outline curve starting from an axial point on any surface of any one of the four lens elements, tracing along an outline of the surface, and ending at a coordinate point on the surface that has a vertical height of ½ entrance pupil diameter from the optical axis, has a length denoted by ARE; conditions as follows are satisfied: 1≤f/HEP≤10, 0 deg≤HAF≤150 deg, and 0.9≤2 (ARE/HEP)≤2.0.

21. The optical image capturing system of claim 20 , wherein a maximum effective half diameter of any surface of any one of the four lens elements is denoted by EHD; an outline curve starting from the axial point on any surface of any one of those lens elements, tracing along an outline of the surface, and ending at a point which defines the maximum effective half diameter, has a length denoted by ARS; conditions as follows are satisfied: 0.9≤ARS/EHD≤2.0.

22. The optical image capturing system of claim 20 , satisfying conditions as follows: 0 mm<HOS≤50 mm.

23. The optical image capturing system of claim 20 , wherein the outline curve starting from the axial point on the object-side surface of the fourth lens elements, tracing along the outline of the object-side surface, and ending at the coordinate point on the surface that has the vertical height of ½ entrance pupil diameter from the optical axis, has the length denoted by ARE41; the outline curve starting from the axial point on the image-side surface of the fourth lens elements, tracing along the outline of the image-side surface, and ending at the coordinate point on the surface that has the vertical height of ½ entrance pupil diameter from the optical axis, has the length denoted by ARE42; a central thickness of the fourth lens element on the optical axis is TP4, which satisfies conditions as follows: 0.05≤ARE41/TP4≤25 and 0.05≤ARE42/TP4≤25.

24. The optical image capturing system of claim 20 , wherein the outline curve starting from the axial point on the object-side surface of the third lens elements, tracing along the outline of the object-side surface, and ending at the coordinate point on the surface that has the vertical height of ½ entrance pupil diameter from the optical axis, has the length denoted by ARE31; the outline curve starting from the axial point on the image-side surface of the third lens elements, tracing along the outline of the image-side surface, and ending at the coordinate point on the surface that has a vertical height of ½ entrance pupil diameter from the optical axis, has the length denoted by ARE32; a central thickness of the third lens element on the optical axis is TP3, which satisfies conditions as follows: 0.05≤ARE31/TP3≤25 and 0.05≤ARE32/TP3≤25.

25. The optical image capturing system of claim 20 , further comprising an aperture stop, an image sensing device, and a driving module, wherein the image sensing device is disposed on the image plane, a distance from the aperture stop to the image plane is InS, and the driving module couples with the four lens elements and enables movements of those lens elements; conditions as follows are satisfied: 0.2≤InS/HOS≤1.1.