Optical system, endoscope apparatus and endoscope
An optical system includes in order from an object side, an objective optical system, a λ/4 wavelength plate including one birefringent material, a polarizing beam splitter which splits light from the objective optical system into two, and an image sensor which picks up two images split. The polarizing beam splitter causes to occur an axial astigmatism of an opposite sign with respect to an axial astigmatism occurred due to the λ/4 wavelength plate, the following conditional expression (1) is satisfied. 1.1≤ Fno /( d/|Δn |)≤49 (1) where, Fno denotes an effective F-number of the objective optical system, d denotes a thickness of the λ/4 wavelength plate, and Δn denotes a birefringence of the λ/4 wavelength plate for an e-line, provided that, |0.01|<Δn.
1. An optical system comprising in order from an object side:
an objective optical system;
a quarter-wave plate including one birefringent material, wherein a first axial astigmatism occurs in the quarter-wave plate;
a polarizing beam splitter is configured to split light from the objective optical system into a transmitted light and a reflected light, wherein a second axial astigmatism occurs in the polarizing beam splitter; and
an image sensor configured to pick up a first image of the transmitted light and a second image of the reflected light,
wherein:
the second axial astigmatism reduces the first axial astigmatism, and
the following conditional expression (1) is satisfied:
1.1≤ Fno /( d/|Δn |)≤49 (1)
where:
Fno denotes an effective F-number of the objective optical system,
d denotes a thickness of the quarter-wave plate, and
Δn denotes a birefringence of the quarter-wave plate for an e-line, provided that |0.01|<Δn.
2. The optical system according to claim 1 , wherein the quarter-wave plate is disposed between an aperture stop of the objective optical system and an optical-path splitting surface of the polarizing beam splitter.
3. The optical system according to claim 2 , wherein the quarter-wave plate is a uniaxial crystal material having a negative birefringence.
4. The optical system according to claim 3 , wherein the following conditional expression (2) is satisfied:
0.8≤( np/Δn )/( d/lpc )≤4.4 (2)
where:
np denotes a refractive index for an e-line of a glass material used for the polarizing beam splitter,
Δn denotes the birefringence of the quarter-wave plate for the e-line (546.1 nm), provided that |0.01|<Δn,
d denotes the thickness of the quarter-wave plate, and
lpc denotes a thickness of an adhesive layer of an adhesive used on a surface of the polarizing beam splitter.
5. An endoscope apparatus comprising:
an endoscope having the optical system according to claim 1 ; and
an image processor configured to combine the first image and the second image picked by the image sensor into one image.
6. An endoscope comprising:
the optical system according to claim 1 .
7. The optical system according to claim 1 , wherein the following conditional expression (1)′ is satisfied,
1.1≤ Fno /( d/|Δn |)≤8.31 (1)′.
8. The optical system according to claim 1 , wherein the following conditional expression (2)′ is satisfied:
0.8≤( np/Δn )/( d/lpc )≤2.78 (2)′
where:
np denotes a refractive index for an e-line of a glass material used for the polarizing beam splitter,
Δn denotes the birefringence of the quarter-wave plate for the e-line (546.1 nm), provided that |0.01|<Δn,
d denotes the thickness of the quarter-wave plate, and
lpc denotes a thickness of an adhesive layer of an adhesive used on a surface of the polarizing beam splitter.
9. The optical system according to claim 1 , wherein the objective optical system comprises in order from the object side:
a first lens group having a negative refractive power;
a second lens group having a positive refractive power; and
a third lens group having a positive refractive power.
10. The optical system according to claim 9 , wherein the first lens group comprises:
a planoconcave negative lens
a biconcave negative lens; and
a positive meniscus lens.
11. The optical system according to claim 9 , wherein the second lens group comprises a positive meniscus lens.
12. The optical system according to claim 9 , wherein the third lens group comprises:
a biconvex positive lens;
a negative meniscus lens;
a biconvex positive lens; and
a negative meniscus lens.
13. The optical system according to claim 5 , wherein the image processor configured to:
acquire the first image and the second image; and
generate a combined image based on the first image and the second image.
14. The optical system according to claim 9 , wherein the third lens group has an aperture stop.
15. The optical system according to claim 1 , wherein the quarter-wave plate is a uniaxial crystal material having a negative birefringence.
16. The optical system according to claim 1 , wherein the following conditional expression (2) is satisfied:
0.8≤( np/Δn )/( d/lpc )≤4.4 (2)
where:
np denotes a refractive index for an e-line of a glass material used for the polarizing beam splitter,
Δn denotes the birefringence of the quarter-wave plate for the e-line (546.1 nm), provided that |0.01|<Δn,
d denotes the thickness of the quarter-wave plate, and
lpc denotes a thickness of an adhesive layer of an adhesive used on a surface of the polarizing beam splitter.
17. An endoscope comprising:
the optical system according to claim 2 .
18. An endoscope comprising:
the optical system according to claim 4 .
19. An endoscope comprising:
the optical system according to claim 15 .
20. An endoscope comprising:
the optical system according to claim 16 .