Projection optical system and image display apparatus

1. A projection optical system comprising:

in order from a reduction side to a magnification side,

an image forming unit configured to form an image thereon;

a refraction optical system including a plurality of lenses;

a first reflecting surface and a second reflecting surface,

wherein, when an optical axis shared by the largest number of lenses among optical lenses of the refraction optical system is defined as an optical axis of the projection optical system;

in arrangement where a distance between an intersection of a magnification-side surface of a lens which is arranged to be closest to the magnification side of the refraction optical system and the optical axis and an intersection of the first reflecting surface and the optical axis has a minimum value, the distance between the intersections is denoted by L,

a focal length of the refraction optical system is denoted by f,

a direction parallel to the optical axis is defined by a Z axis direction,

an arrangement direction of the first reflecting surface and the second reflecting surface is defined by a Y axis direction,

a maximum value of a distance between the optical axis and an end portion of the image forming unit in the Y axis direction is denoted by Ymax,

in a YZ plane which is a plane parallel to the Y axis direction and the Z axis direction, a maximum value D1 of a distance between an intersection of a light beam path from the image forming unit and the magnification-side surface of the lens which is arranged to be closest to the magnification side of the refraction optical system and the optical axis,

a sag amount ds1 which is a sag amount of the magnification-side surface of the lens which is arranged to be closest to the magnification side of the refraction optical system at the D1 and of which positive direction is defined by the direction from the reduction side in the Z axis toward the magnification side,

a point H of which distance from the optical axis has a maximum value among the intersections of the light beam path and the first reflecting surface,

a point F of which distance from the optical axis has a minimum value among the intersections of the light beam path and the second reflecting surface,

an angle θ1 between a line connecting the H and the F and the optical axis satisfies the condition 1: 0<Ymax/f−1/tan θ1; and condition 2: −0.1<(L−D1−ds1)/(L+D1−ds1)−1/tan θ1.

2. The projection optical system according to claim 1 ,

wherein, when an angle between a light beam emitted from the refraction optical system for an upper light beam at the maximum angle of view in the Y axis direction and the optical axis is denoted by θ2,

a distance between an intersection of the light beam emitted from the refraction optical system for the upper light beam at the maximum angle of view in the Y axis direction and the closest-magnification-side surface of the refraction optical system and the optical axis is denoted by D2, and

a sag amount which is a sag amount of the magnification-side surface of the lens which is arranged to be closest to the magnification side of the refraction optical system at a height of the D2 and of which positive direction is defined by the direction from the reduction side in the Z axis toward the magnification side is denoted by ds2, the angle θ2 satisfies the condition 3: 0<Ymax/f−1/tan θ2; and condition 4: −0.05<(L−D2−ds2)/(L+D1−ds2)−1/tan θ2.

3. The projection optical system according to claim 1 , wherein the lens having a magnification-side surface and which is arranged to be closest to the magnification side of the refraction optical system is an aspherical lens having a convex and aspherical surface.

4. The projection optical system according to claim 3 , wherein the lens having the magnification-side surface and which is the aspherical lens has a negative power on the optical axis and a positive power in the periphery.

5. The projection optical system according to claim 3 , wherein the lens having the magnification-side surface and which is the aspherical lens is arranged between a spherical lens of which distance between an intersection of a lower light beam at the maximum angle of view in the Y axis direction and a surface of the aspherical lens and the optical axis is at maximum, and the first reflecting surface.

6. The projection optical system according to claim 1 , further comprising an aspherical lens having a negative power on the optical axis and a positive power in the periphery.

7. The projection optical system according to claim 6 , wherein the aspherical lens is arranged between a spherical lens of which distance between an intersection of a lower light beam at the maximum angle of view in the Y axis direction and a surface of the aspherical lens and the optical axis is at maximum, and the first reflecting surface.

8. The projection optical system according to claim 1 , wherein the first reflecting surface is a plane mirror and is rotated by 45 degrees on the YZ plane.

9. The projection optical system according to claim 1 , wherein the second reflecting surface is a concave mirror.

10. The projection optical system according to claim 1 , wherein in a focus state where the L is at minimum, when paraxial magnification of the refraction optical system is denoted by β, the condition 5: 5<β<8 is satisfied.

11. The projection optical system according to claim 1 , wherein the second reflecting surface has a shape of a free-form curved surface.

12. The projection optical system according to claim 1 , wherein the image forming unit is prevented from intersecting the optical axis.

13. The projection optical system according to claim 1 , wherein at least the lens which is closest to the magnification side of the refraction optical system is moved during focusing.

14. An image display apparatus comprising:

an illumination optical system that illuminates the image forming unit with light from a light source; and

a projection optical system that projects the image formed on the image forming unit onto a projection plane,

wherein the projection optical system is the projection optical system according to claim 1 .