Optical image capturing system

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

a first lens with positive refractive power;

a second lens with negative refractive power, wherein an image-side surface of the second lens on the optical axis is a convex surface;

a third lens with refractive power;

a fourth lens with refractive power, wherein an object-side surface of the fourth lens on the optical axis is a concave surface and an image-side surface of the fourth lens on the optical axis is a concave surface; and

an image plane;

wherein the optical image capturing system comprises the four lenses with refractive power, at least one of the third lens and the fourth lens has positive refractive power, focal lengths of the first lens through the fourth lens are f1, f2, f3, and f4, respectively, and a focal length of the optical image capturing system is f, the entrance pupil diameter of the optical image capturing system is denoted by HEP, a distance on an optical axis from an object side of the first lens to the image plane is denoted by HOS, a distance on an optical axis from the object side of the first lens to the image side of the fourth lens is denoted by InTL, a half maximum angle of view of the optical image capturing system is denoted by HAF, thicknesses of the first lens to the fourth lens at height of ½ HEP parallel to the optical axis are respectively denoted by ETP1, ETP2, ETP3, and ETP4, a sum of ETP1 to ETP4 described above is denoted by SETP, thicknesses of the first lens to the fourth lens on the optical axis are respectively denoted by TP1, TP2, TP3, and TP4, a sum of TP1 to TP4 described above is denoted by STP, and the following conditions are satisfied:

1.8≤ f/HEP≤ 2.0;35 deg< HAF≤ 45 deg; and 0.5 ≤SETP/STP< 1.

2. The optical image capturing system according to claim 1 , wherein the maximum effective half diameter of an object side of the first lens is denoted by EHD 11 , the maximum effective half diameter of the object side of the second lens is denoted by EHD21, and the following condition is satisfied:

0< EHD 21/ EHD 11≤2.0.

3. The optical image capturing system according to claim 1 , wherein modulation transfer rates of visible light at spatial frequency of 55 cycles/mm at positions of the optical axis, 0.3 HOI and 0.7 HOI on the image plane are respectively denoted by MTFE0, MTFE3 and MTFE7, and the following conditions are satisfied:

MTFE 0≥0.2 ;MTFE 3≥0.01; and MTFE 7≥0.01.

4. The optical image capturing system according to claim 2 , wherein thicknesses of the first lens to the fourth lens at height of ½ HEP parallel to the optical axis are respectively denoted by ETP1, ETP2, ETP3, and ETP4, a sum of ETP1 to ETP4 described above is denoted by SETP, and the following condition is satisfied:

0.3 ≤SETP/EIN< 1.

5. The optical image capturing system according to claim 1 , wherein a thickness of the first lens on the optical axis is denoted by TP1, a thickness of the second lens on the optical axis is denoted by TP2, a thickness of the third lens on the optical axis is denoted by TP3, a thickness of the fourth lens on the optical axis is denoted by TP4, and the following condition is satisfied:

TP 1> TP 3> TP 4> TP 2.

6. The optical image capturing system according to claim 1 , wherein a thickness of the first lens on the optical axis is denoted by TP1, a thickness of the second lens on the optical axis is denoted by TP2, and the following condition is satisfied:

2≤ TP 1/ TP 2≤3.

7. The optical image capturing system according to claim 1 , wherein the following condition is satisfied:

1.1≤ HOS/f≤ 1.3.

8. The optical image capturing system according to claim 4 , wherein a maximum height for image formation on the image plane perpendicular to an optical axis in the optical image capturing system is denoted by HOI, and the following condition is satisfied:

1.3≤ HOS/HOI≤ 1.5.

9. The optical image capturing system according to claim 1 , further comprising an aperture, wherein a distance from the aperture to the image plane on the optical axis is denoted by InS, and the following condition is satisfied:

0.92≤ InS/HOS≤ 0.95.

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

a first lens with positive refractive power;

a second lens with negative refractive power, wherein an object-side surface of the second lens on the optical axis is a convex surface and has at least one inflection point;

a third lens with refractive power;

a fourth lens with refractive power, wherein an object-side surface of the fourth lens on the optical axis is a concave surface and an image-side surface of the fourth lens on the optical axis is a concave surface; and

an image plane;

wherein the optical image capturing system comprises the four lenses with refractive power, at least one of the third lens and the fourth lens has positive refractive power, focal lengths of the first lens through the fourth lens are f1, f2, f3, and f4, respectively, and a focal length of the optical image capturing system is f, the entrance pupil diameter of the optical image capturing system is denoted by HEP, a distance on an optical axis from an object side of the first lens to the image plane is denoted by HOS, a distance on an optical axis from the object side of the first lens to the image side of the fourth lens is denoted by InTL, a half maximum angle of view of the optical image capturing system is denoted by HAF, a horizontal distance parallel to the optical axis from a first coordinate point on the object side of the first lens at height of ½ HEP to the image plane is denoted by ETL, a horizontal distance parallel to the optical axis from the first coordinate point on the object side of the first lens at height of ½ HEP to a second coordinate point on the image side of the fourth lens at height of ½ HEP is denoted by EIN, and the following conditions are satisfied:

1.8≤ f/HEP≤ 2.0;35 deg< HAF≤ 45 deg; and 0.2≤ EIN/ETL< 1.

11. The optical image capturing system according to claim 10 , wherein a distance between the first lens and the second lens on the optical axis is denoted by IN12, a distance between the second lens and the third lens on the optical axis is denoted by IN23, a distance between the third lens and the fourth lens on the optical axis is denoted by IN34, and the following condition is satisfied:

IN 34> IN 12> IN 23.

12. The optical image capturing system according to claim 10 , wherein a distance between the first lens and the second lens on the optical axis is denoted by IN12, a distance between the third lens and the fourth lens on the optical axis is denoted by IN34, and the following condition is satisfied:

1.8≤ IN 34/ IN 12≤2.

13. The optical image capturing system according to claim 10 , wherein the contrast transfer rates (MTF values) with spatial frequencies of 110 cycles/mm at the optical axis, 0.3 HOI, and 0.7 HOI of visible light spectrum on the image plane are respectively denoted by MTFQ0, MTFQ3 and MTFQ7, and the following conditions are satisfied:

MTFQ 0≥0.2 ;MTFQ 3≥0.01; and MTFQ 7≥0.01.

14. The optical image capturing system according to claim 10 , wherein the following condition is satisfied:

0 mm< HOS≤ 2 mm.

15. The optical image capturing system according to claim 10 , wherein thicknesses of the fourth lens at height of ½ HEP parallel to the optical axis is denoted by ETP4, a thickness of the fourth lens on the optical axis is denoted by TP4, and the following condition is satisfied:

0.1≤ ETP 4/ TP 4≤5.

16. The optical image capturing system according to claim 10 , wherein the following condition is satisfied:

| f 1/ f 2|≤0.11.

17. The optical image capturing system according to claim 10 , wherein the following condition is satisfied:

f 2< f 4.

18. The optical image capturing system according to claim 10 , wherein the following condition is satisfied:

| f 1/ f 3|<1.

19. The optical image capturing system according to claim 10 , wherein refractive indexes of the first lens, the second lens, the third lens and the fourth lens are N1, N2, N3 and N4, respectively, and the following condition is satisfied:

N 2> N 3> N 1.

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

a first lens with positive refractive power;

a second lens with negative refractive power, wherein an image-side surface of the second lens on the optical axis is a convex surface and has at least one inflection point;

a third lens with positive refractive power;

a fourth lens with refractive power, wherein an object-side surface of the fourth lens on the optical axis is a concave surface and an image-side surface of the fourth lens on the optical axis is a concave surface; and

an image plane;

wherein the optical image capturing system comprises the four lenses with refractive power, focal lengths of the first lens through the fourth lens are f1, f2, f3, and f4, respectively, and a focal length of the optical image capturing system is f, the entrance pupil diameter of the optical image capturing system is denoted by HEP, a distance on an optical axis from an object side of the first lens to the image plane is denoted by HOS, a distance on an optical axis from the object side of the first lens to the image side of the fourth lens is denoted by InTL, a half maximum angle of view of the optical image capturing system is denoted by HAF, thicknesses of the first lens to the fourth lens at height of ½ HEP parallel to the optical axis are respectively denoted by ETP1, ETP2, ETP3 and ETP4, a sum of ETP1 to ETP4 is denoted by SETP, thicknesses of the first lens to the fourth lens on the optical axis are respectively denoted by TP1, TP2, TP3 and TP4, a sum of TP1 to TP4 is denoted by STP, and the following conditions are satisfied:

1.8≤ f/HEP≤ 2.0;35 deg< HAF≤ 45 deg; and 0.5 ≤SETP/STP< 1.

21. The optical image capturing system according to claim 20 , wherein the maximum effective half diameter of an object side of the first lens is denoted by EHD 11 , the maximum effective half diameter of the object side of the first lens is denoted by EHD21, and the following condition is satisfied:

0< EHD 21/ EHD 11≤2.0.

22. The optical image capturing system according to claim 20 , wherein the contrast transfer rates (MTF values) with spatial frequencies of 110 cycles/mm at the optical axis, 0.3 HOI, and 0.7 HOI of visible light spectrum on the image plane are respectively denoted by MTFQ0, MTFQ3 and MTFQ7, and the following conditions are satisfied:

MTFQ 0≥0.2 ;MTFQ 3≥0.01; and MTFQ 7≥0.01.

23. The optical image capturing system according to claim 20 , wherein a distance between the first lens and the second lens on the optical axis is denoted by IN12, a distance between the second lens and the third lens on the optical axis is denoted by IN23, a distance between the third lens and the fourth lens on the optical axis is denoted by IN34, and the following condition is satisfied:

IN 34> IN 12> IN 23.

24. The optical image capturing system according to claim 20 , wherein an image-side surface of the third lens on the optical axis has at least two inflection points.

25. The optical image capturing system according to 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 on the optical axis from the aperture stop to the image plane is denoted by InS, and the driving module couples with the lenses to displace the lenses, and the following condition is satisfied:

0.2≤ InS/HOS≤ 1.1.