Imaging optical system, and projection-type image display apparatus and image pickup apparatus using the same
An imaging optical system includes a first optical unit having positive refractive power making an image at an image plane at an enlargement-side of the imaging optical system and an intermediate image at an intermediate image position in the imaging optical system conjugate to each other, and a second optical unit having positive refractive power making the intermediate image and an image at an image plane at a reduction-side of the imaging optical system conjugate to each other, wherein, when a focal length of the first optical unit is denoted by fF and a focal length of the second optical unit is denoted by fR, the following condition is satisfied: 0< fF/fR <0.8, and wherein the second optical unit includes a negative lens disposed on the optical axis closest to the enlargement side.
1. An imaging optical system comprising:
a first optical unit having positive refractive power making an image at an image plane at an enlargement-side of the imaging optical system and an intermediate image at an intermediate image position in the imaging optical system conjugate to each other; and
a second optical unit having positive refractive power making the intermediate image and an image at an image plane at a reduction-side of the imaging optical system conjugate to each other,
wherein, when a focal length of the first optical unit is denoted by fF and a focal length of the second optical unit is denoted by fR, the following condition is satisfied:
0.0 <fF/fR< 0.8, and
wherein the second optical unit comprises a negative lens disposed on the optical axis closest to the enlargement side.
2. The imaging optical system according to claim 1 , wherein, when a focal length of the negative lens is denoted by f 1 , the following condition is satisfied:
−5.00 <f 1 /fR<− 0.05.
3. The imaging optical system according to claim 1 , wherein, when a focal length of the negative lens is denoted by f 1 and a focal length of the entire optical system including the first and second optical units is denoted by |f|, the following condition is satisfied:
−20.0 <f 1 /|f|< 0.0.
4. The imaging optical system according to claim 1 , wherein, when a focal length of the negative lens is denoted by f 1 , the following condition is satisfied:
−12.0 <f 1 /fF< 0.0.
5. The imaging optical system according to claim 1 , wherein an enlargement-side surface of the negative lens has a shape convex toward the reduction side, and
wherein, where a radius of curvature of the enlargement-side surface of the negative lens is denoted by r and a focal length of the entire optical system including the first optical unit and the second optical unit is denoted by |f|, the following condition is satisfied:
−3.0 <r/|f|<− 0.1
6. The imaging optical system according to claim 1 , wherein the enlargement-side surface of the negative lens has a shape convex toward the reduction side, and
wherein, when a radius of curvature of the enlargement-side surface of the negative lens is denoted by r, a refractive index of the negative lens is denoted by n, and a focal length of a lens or a lens group disposed at the enlargement side with respect to the largest surface distance in the second optical unit is denoted by fR 1 , the following condition is satisfied:
−1.5 <r/{fR 1·( n− 1)}<−0.5.
7. The imaging optical system according to claim 1 , operable to perform focusing by moving a portion of the second optical unit as a focus group.
8. The imaging optical system according to claim 7 , wherein, when a focal length of the focus group is denoted by f fo and a focal length of the entire optical system including the first optical unit and the second optical unit is denoted by |f|, the following condition is satisfied:
1 <|f fo /|f∥< 200.
9. The imaging optical system according to claim 7 , wherein a lens in the focus group has the smallest diameter of any of the lenses in the second optical unit.
10. The imaging optical system according to claim 7 , wherein the focus group is arranged so that it is moved from the reduction side to the enlargement side during focusing from infinity to a closest focusing distance.
11. The imaging optical system according to claim 1 , arranged so that for zooming, at least one lens is moved in each of the first optical unit and the second optical unit.
12. The imaging optical system according to claim 1 , wherein the first and second optical units are arranged such that converging light rays are incident on the negative lens.
13. The imaging optical system according to claim 1 , further comprising a positive lens disposed at the reduction side of the negative lens,
wherein the positive lens is disposed at a position adjacent to the negative lens.
14. The imaging optical system according to claim 13 , wherein the positive lens is a meniscus lens having a shape convex toward the reduction side.
15. The imaging optical system according to claim 13 , wherein, when a focal length of the negative lens is denoted by f 1 and a focal length of the positive lens is denoted by f 2 , the following condition is satisfied:
−1.00 <f 1 /f 2<−0.05.
16. The imaging optical system according to claim 1 , wherein the imaging optical system is a projection optical system configured to project an image by projecting an image formed from light from a light modulation element at the reduction side imaging plane onto a projection receiving surface at the enlargement side imaging plane.
17. The imaging optical system according to claim 1 , wherein the imaging optical system is configured to form an image from light received from an object at the enlargement side imaging plane on an image sensor at the reduction side imaging plane.
18. A projection-type image display apparatus comprising:
a light modulation element; and
a projection optical system configured to project an image by projecting light from the light modulation element onto a projection receiving surface,
the projection optical system comprising:
a first optical unit having positive refractive power making an image at an image plane at an enlargement-side of the imaging optical system and an intermediate image at an intermediate image position in the imaging optical system conjugate to each other; and
a second optical unit having positive refractive power making the intermediate image and an image at an image plane at a reduction-side of the imaging optical system conjugate to each other,
wherein, when a focal length of the first optical unit is denoted by fF and a focal length of the second optical unit is denoted by fR, the following condition is satisfied:
0.0 <fF/fR< 0.8, and
wherein the second optical unit comprises a negative lens disposed on the optical axis closest to the enlargement side.
19. The projection-type image display apparatus according to claim 18 , further comprising a moving unit configured to move the imaging optical system in a direction giving a component of movement of the imaging optical system perpendicular to its optical axis, and
arranged so that upon moving the imaging optical system the projected image is moved in a direction opposite to the moving direction of the imaging optical system.
20. An image pickup apparatus comprising:
an image sensor; and
an imaging optical system configured to form an image of light from an object on the image sensor,
the imaging optical system comprising:
a first optical unit having positive refractive power making an image at an image plane at an enlargement-side of the imaging optical system and an intermediate image at an intermediate image position in the imaging optical system conjugate to each other; and
a second optical unit having positive refractive power making the intermediate image and an image at an image plane at a reduction-side of the imaging optical system conjugate to each other,
wherein, when a focal length of the first optical unit is denoted by fF and a focal length of the second optical unit is denoted by fR, the following condition is satisfied:
0.0 <fF/fR< 0.8, and
wherein the second optical unit comprises a negative lens disposed on the optical axis closest to the enlargement side.