Imaging optical system and optical apparatus including the same
An imaging optical system includes, a first lens unit having a negative refractive power, a second lens unit having a positive refractive power, a third lens unit having a negative refractive power, and a fourth lens unit having a positive refractive power, the first lens unit includes a first negative lens and a first cemented lens, the second lens unit G 2 includes a second cemented lens, one or more positive lens components, and a third cemented lens, and the first cemented lens includes a negative lens and has a surface having a concave surface facing toward the reduction side, the second cemented lens has a positive refractive power and has a surface having a concave surface facing toward the enlargement side, and the third cemented lens has a positive refractive power and includes a negative lens on the reduction side.
1. An imaging optical system configured to form a conjugate relation between a conjugate point on an enlargement side having a long distance and a conjugate point on a reduction side having a short distance, the imaging optical system comprising:
in order from the enlargement side,
a first lens unit having a negative refractive power;
a second lens unit having a positive refractive power;
a third lens unit having a negative refractive power; and
a fourth lens unit having a positive refractive power, wherein
the first lens unit includes a first negative lens positioned closest to the enlargement side and a first cemented lens positioned closest to the reduction side,
the second lens unit includes, in order from the enlargement side, a second cemented lens, one or more positive lens components, and a third cemented lens,
the lens components form a lens block in which only an enlargement-side surface and a reduction-side surface are in contact with air in an optical path,
the first cemented lens includes a negative lens closest to the reduction side and has a surface closest to the reduction side having a concave surface facing toward the reduction side,
the second cemented lens has a positive refractive power and has a surface closest to the enlargement side having a concave surface facing toward the enlargement side, and
the third cemented lens has a positive refractive power and includes a negative lens on the reduction side.
2. The imaging optical system according to claim 1 , wherein
following Conditional Expression (1) is satisfied:
1< M 4 _ 3G /M 4 _ 4G <100 (1),
where
M 4 _ 3G is a lateral magnification of the third lens unit at a time of focusing to an object at infinity; and
M 4 _ 4G is a lateral magnification of the fourth lens unit at a time of focusing to an object at infinity.
3. The imaging optical system according to claim 1 , wherein the first negative lens is a meniscus lens.
4. The imaging optical system according to claim 1 , wherein
following Conditional Expression (2) is satisfied:
0.1<( R N1F +R N1R )/( R N1F −R N1R )<10 (2),
where
R N1F is a paraxial radius of curvature of an enlargement-side surface of the first negative lens; and
R N1R is a paraxial radius of curvature of a reduction-side surface of the first negative lens.
5. The imaging optical system according to claim 1 , wherein
following Conditional Expression (3) is satisfied:
0.1<( R 3GF +R 3GR )/( R 3GF −R 3GR )<10 (3),
where
R 3GF is a paraxial radius of curvature of a surface positioned closest to the enlargement side in the third lens unit; and
R 3GR is a paraxial radius of curvature of a surface positioned closest to the reduction side in the third lens unit.
6. The imaging optical system according to claim 1 , wherein the fourth lens unit includes a positive lens and includes two or more lenses.
7. The imaging optical system according to claim 1 , wherein the imaging optical system further comprises an aperture stop in the second lens unit.
8. The imaging optical system according to claim 1 , wherein the third lens unit moves at a time of focusing.
9. The imaging optical system according to claim 1 , wherein
following Conditional Expression (4) is satisfied:
−10< f 3G /f 4G <−0.1 (4),
where
f 3G is a focal length of the third lens unit; and
f 4G is a focal length of the fourth lens unit.
10. The imaging optical system according to claim 1 , wherein
the first lens unit is a predetermined lens unit,
the second cemented lens is positioned closer to the reduction side than the predetermined lens unit is, and adjacent to the predetermined lens unit, and
following Conditional Expression (5) is satisfied:
−2<( R NGR +R C2F )/( R NGR −R C2F )<8 (5)
where
R NGR is a paraxial radius of curvature of a surface positioned closest to the reduction side in the predetermined lens unit; and
R C2F is a paraxial radius of curvature of a surface positioned closest to the enlargement side in the second cemented lens.
11. The imaging optical system according to claim 1 , wherein
first positive lens positioned closest to the second cemented lens is further included, and
following Conditional Expression (6) is satisfied:
0.01<( R P1F +R P1R )/( R P1F −R P1R )<5 (6),
where
R P1F is a paraxial radius of curvature of an enlargement-side surface of the first positive lens; and
R P1R is a paraxial radius of curvature of a reduction-side surface of the first positive lens.
12. The imaging optical system according to claim 1 , wherein
a cemented lens positioned closest to the enlargement side in the second lens unit is the second cemented lens, and
following Conditional Expression (7) is satisfied:
−45<( R C2F +R C2R )/( R C2F −R C2R )<65 (7),
where
R C2F is a paraxial radius of curvature of a surface positioned closest to the enlargement side in the second cemented lens; and
R C2R is a paraxial radius of curvature of a surface positioned closest to the reduction side in the second cemented lens.
13. The imaging optical system according to claim 1 , wherein
a cemented lens positioned closest to the reduction side in the first lens unit is the first cemented lens, and
following Conditional Expression (8) is satisfied:
−10<( R C1F +R C1R )/( R C1F −R C1R )<45 (8),
where
R C1F is a paraxial radius of curvature of a surface positioned closest to the enlargement side in the first cemented lens; and
R C1R is a paraxial radius of curvature of a surface positioned closest to the reduction side in the first cemented lens.
14. The imaging optical system according to claim 1 , wherein Conditional Expression (9) below is satisfied:
−5<( R NGF +R NGR )/( R NGF −R NGR )<17 (9),
where
R NGF is a paraxial radius of curvature of a surface positioned closest to the enlargement side in the predetermined lens unit; and
R NGR is a paraxial radius of curvature of a surface positioned closest to the reduction side in the predetermined lens unit.
15. The imaging optical system according to claim 1 , wherein
the first cemented lens includes, in order from the enlargement side, a positive lens and a negative lens,
the second cemented lens, the one or more positive lens components, and the third cemented lens are disposed in this order from the enlargement side,
the third lens unit includes one or more negative lens components, and
the fourth lens unit includes a positive lens closest to the enlargement side.
16. The imaging optical system according to claim 1 , wherein
the fourth lens unit includes a second positive lens closest to the enlargement side, and
following Conditional Expression (10) is satisfied:
0<( R P2F −R P2R )/( R P2F −R P2R )<1 (10),
where
R P2F is a paraxial radius of curvature of an enlargement-side surface of the second positive lens; and
R P2R is a paraxial radius of curvature of a reduction-side surface of the second positive lens.
17. The imaging optical system according to claim 1 , wherein
following Conditional Expression (11) is satisfied:
0.8< FB/f R <1.8 (11),
where
FB is a back focus in the imaging optical system; and
f R is a combined focal length of lens units from the second lens unit to the fourth lens unit.
18. The imaging optical system according to claim 1 , wherein
following Conditional Expression (A) is satisfied:
0< f/e N1F <2 (A),
where
f is a focal length of the imaging optical system as a whole at a time of focusing to an object at infinity; and
e N1F is a maximum effective aperture of an enlargement-side surface of the first negative lens.
19. The imaging optical system according to claim 1 , wherein
following Conditional Expression (B) is satisfied:
0<( f/e AS )/ Fno< 2 (B),
where
f is a focal length of the imaging optical system as a whole at a time of focusing to an object focusing at infinity;
e AS is a maximum diameter of the aperture stop; and
Fno is an F-number of the imaging optical system as a whole at the time of focusing to the object focusing at infinity.
20. The imaging optical system according to claim 1 , wherein
following Conditional Expression (C) is satisfied:
0< T air _ max /Σd≤ 0.27 (C),
where
T air _ max is a largest axial air space in a range from a surface positioned closest to the enlargement side to a surface positioned closest to the reduction side in the imaging optical system; and
Σd is an axial distance from the surface positioned closest to the enlargement side to the surface positioned closest to the reduction side in the imaging optical system.
21. The imaging optical system according to claim 8 , wherein
the third lens unit is set as a first focusing lens unit,
a partial lens unit in the fourth lens unit is set as a second focusing lens unit, and
at the time of focusing, in addition to movement of the first focusing lens unit, the second focusing lens unit moves while changing a distance to the first focusing lens unit.
22. The imaging optical system according to claim 1 , wherein
the imaging optical system further comprises a first focusing lens unit, and
the first focusing lens unit is disposed closer to the reduction side than the third cemented lens is, moves along an optical axis of the imaging optical system at a time of the focusing, and has a negative refractive power.
23. The imaging optical system according to claim 22 , wherein the first focusing lens unit satisfies following Conditional Expression (D):
0<( R F1F +R F1R )/( R F1F −R F1R )<5 (D)
where
R F1F is a paraxial radius of curvature of a surface positioned closest to the enlargement side in the first focusing lens unit; and
R F1R is a paraxial radius of curvature of a surface positioned closest to the reduction side in the first focusing lens unit.
24. The imaging optical system according to claim 21 , wherein
the first focusing lens unit moves toward the reduction side at a time of focusing to an object at a close distance from a state of focusing on an object at infinity which positions on the enlargement side, and
Conditional Expression (E) below is satisfied:
−1< M F1 /f< 0 (E),
where
M F1 is a maximum amount of movement along the optical axis direction at the time of focusing in the first focusing lens unit; and
f is a focal length of the imaging optical system as a whole at the time of focusing to the object at infinity.
25. The imaging optical system according to claim 22 , wherein
the first focusing lens unit moves toward the reduction side at a time of focusing to an object at a close distance from a state of focusing on an object at infinity which positions on the enlargement side, and
Conditional Expression (E) below is satisfied:
−1< M F1 /f< 0 (E),
where
M F1 is a maximum amount of movement along the optical axis direction at the time of focusing in the first focusing lens unit; and
f is a focal length of the imaging optical system as a whole at the time of focusing to the object at infinity.
26. The imaging optical system according to claim 22 , wherein
the imaging optical system further comprises a second focusing lens unit, and
the second focusing lens unit is disposed closer to the reduction side than the first focusing lens unit is, moves along the optical axis of the imaging optical system while changing a distance to the first focusing lens unit at the time of focusing, and has a positive refractive power.
27. The imaging optical system according to claim 26 , wherein the first focusing lens unit and the second focusing lens unit each include at most two lenses.
28. The imaging optical system according to claim 26 , wherein
the first focusing lens unit moves toward the reduction side at the time of focusing to an object at a close distance from a state of focusing on an object at infinity which positions on the enlargement side,
the second focusing lens unit moves toward the enlargement side at the time of focusing to the object at a close distance from the state of focusing on the object at infinity which positions on the enlargement side, and
the first focusing lens unit and the second focusing lens unit satisfy following Conditional Expression (F) at the time of focusing:
0< M F2 /M F1 <1.5 (F),
where
M F1 is a maximum amount of movement along the optical axis direction at the time of the focusing in the first focusing lens unit; and
M F2 is a maximum amount of movement along the optical axis direction at the time of the focusing in the second focusing lens unit.
29. The imaging optical system according to claim 26 , wherein the first focusing lens unit and the second focusing lens unit satisfy following Conditional Expression (G):
−3< f F1 /f F2 <−0.5 (G),
where
f F1 is a focal length of the first focusing lens unit; and
f F2 is a focal length of the second focusing lens unit.
30. The imaging optical system according to claim 26 , wherein the first focusing lens unit and the second focusing lens unit satisfy following Conditional Expression (H):
5<β F1 /β F2 <50 (H),
where
β F1 is a lateral magnification of the first focusing lens unit at the time of focusing to an object at infinity; and
β F2 is a lateral magnification of the second focusing lens unit at the time of focusing to the object at infinity.
31. The imaging optical system according to claim 1 , wherein the first cemented lens is a cemented lens including three lenses.
32. The imaging optical system according to claim 1 , wherein the third lens unit includes a plurality of lenses.
33. The imaging optical system according to claim 32 , wherein the third lens unit includes a cemented lens.
34. The imaging optical system according to claim 1 , wherein the fourth lens unit includes a cemented lens including a positive lens.
35. The imaging optical system according to claim 34 , wherein the cemented lens including a positive lens in the fourth lens unit moves while changing a distance to another focusing lens unit at a time of focusing.
36. An optical apparatus comprising:
an optical system; and
an image pickup element arranged on a reduction side,
wherein
the image pickup element has an image pickup surface and converts an image formed on the image pickup surface by the optical system into an electrical signal, and
the optical system is the imaging optical system of claim 1 .
37. An optical apparatus comprising:
an optical system; and
a display element arranged on a reduction side,
wherein
the display element has a display surface,
an image displayed on the display surface is projected toward an enlargement side by the optical system, and
the optical system is the imaging optical system of claim 1 .