# US 11,112,587 B2 · Imaging optical system, projection-type display apparatus, and imaging apparatus

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- Number: US 11,112,587 B2
- Document ID: US11112587B2
- Status: Granted
- Kind: B2
- Application number: 16/555,109
- Filed: 2019-08-29
- Published: 2020-01-09
- Granted: 2021-09-07
- Earliest claimed: 2016-05-25
- Assignees: FUJIFILM Corporation
- Applicants: FUJIFILM Corporation
- Inventors: Yukiko Nagatoshi
- Web page: https://patentgrep.com/patent/US11112587B2

## CPC

- G02B 13/04: Reversed telephoto objectives
- G02B 13/22: Telecentric objectives or lens systems
- G02B 13/16: for use in conjunction with image converters or intensifiers {, or for use with projectors, e.g. objectives for projection TV}
- G02B 27/0025: {for optical correction, e.g. distorsion, aberration}
- G03B 21/14: Details
- G02B: OPTICAL ELEMENTS, SYSTEMS OR APPARATUS
- G03B: APPARATUS OR ARRANGEMENTS FOR TAKING PHOTOGRAPHS OR FOR PROJECTING OR VIEWING THEM; APPARATUS OR ARRANGEMENTS EMPLOYING ANALOGOUS TECHNIQUES USING WAVES OTHER THAN OPTICAL WAVES; ACCESSORIES THEREFOR (optical parts of such apparatus G02B; photosensitive materials or processes for photographic purposes G03C; apparatus for processing exposed photographic materials G03D)

## Abstract

The imaging optical system consists of first and second optical systems in order from a magnified side. The second optical system forms an image on an image display surface as an intermediate image. The first optical system forms the intermediate image on a magnified-side conjugate plane. A height H of a principal ray of light having a maximum angle of view becomes maximum on a lens surface of the whole system (having focal length f) on the most magnified side, among heights of principal rays of light having a maximum angle of view on respective lens surfaces, satisfying predetermined Conditional Expressions (1) and (2): 0.03<H×|f|/(L×I)<0.09 (1) 0.35<I/dl (2) Where L is an optical axis distance between lens surfaces on the most magnified and reduced sides, I is a reduced side maximum image height, and dl is a maximum air spacing on the optical axis within the system.

## Claims

### Claim 1

An imaging optical system capable of projecting an image, displayed on an image display device disposed on a reduced-side conjugate plane, as a magnified image on a magnified-side conjugate plane, the system comprising, in order from a magnified side:
a first optical system which is constituted by a plurality of lenses; and
a second optical system which is constituted by a plurality of lenses, wherein
the second optical system forms the image displayed on the image display device as an intermediate image,
the first optical system forms the intermediate image on the magnified-side conjugate plane,
a height of a principal ray of light having a maximum angle of view becomes maximum on a lens surface of the whole system on the most magnified side, among heights of principal rays of light having a maximum angle of view on respective lens surfaces, and
the following Conditional Expressions (1) and (4) are satisfied,
0.03<H×|f|/(L×I)<0.09 (1)
0.8<H×f2/(fo×I2)<1.3 (4)
where H is a height of the principal ray of light having a maximum angle of view on a plane orthogonal to an optical axis through a point of intersection between the lens surface on the most magnified side and the optical axis,
f is a focal length of the whole system,
L is a distance on the optical axis between the lens surface on the most magnified side and a lens surface on a most reduced side,
I is a maximum image height on a reduced side, and
fo is a focal length of the first optical system.

### Claim 2 (depends on 1)

The imaging optical system according to claim 1, wherein the following Conditional Expression (6) is satisfied,
1<enp/I<2 (6)
where enp is a distance on the optical axis from the lens surface on the most magnified side to a pupil position on the magnified side.

### Claim 3 (depends on 2)

The imaging optical system according to claim 2, wherein the following Conditional Expression (1-1) is satisfied,
0.04<H×|f|/(L×I)<0.08 (1-1).

### Claim 4 (depends on 2)

The imaging optical system according to claim 2, wherein the following Conditional Expression (4-1) is satisfied,
0.84<H×f2/(fo×I2)<1.2 (4-1).

### Claim 5 (depends on 2)

The imaging optical system according to claim 2, wherein a total angle of view is equal to or greater than 100°.

### Claim 6 (depends on 1)

The imaging optical system according to claim 1, wherein the following Conditional Expression (1-1) is satisfied,
0.04<H×|f|/(L×I)<0.08 (1-1).

### Claim 7 (depends on 6)

The imaging optical system according to claim 6, wherein the following Conditional Expression (4-1) is satisfied,
0.84<H×f2/(fo×I2)<1.2 (4-1).

### Claim 8 (depends on 6)

The imaging optical system according to claim 6, wherein a total angle of view is equal to or greater than 100°.

### Claim 9 (depends on 1)

The imaging optical system according to claim 1, wherein the following Conditional Expression (4-1) is satisfied,
0.84<H×f2/(fo×I2)<1.2 (4-1).

### Claim 10 (depends on 9)

The imaging optical system according to claim 9, wherein a total angle of view is equal to or greater than 100°.

### Claim 11 (depends on 1)

The imaging optical system according to claim 1, wherein a total angle of view is equal to or greater than 100°.

### Claim 12 (depends on 1)

The imaging optical system according to claim 1, wherein an optical element on the most magnified side of the first optical system is a lens.

### Claim 13 (depends on 1)

A projection-type display apparatus comprising:
a light source;
a light valve on which light from the light source is incident; and
the imaging optical system according to claim 1 as an imaging optical system that projects an optical image of light optically modulated by the light valve onto a screen.

### Claim 14 (depends on 1)

An imaging apparatus comprising the imaging optical system according to claim 1.