Image-forming optical system, projection type image display apparatus and image pickup apparatus
The present invention discloses an image-forming optical system provided with a plurality of curved mirrors whereby two points at different distances are made to have an optically conjugate relationship, sequentially starting with a first conjugate point which is nearer when an optical path is traced from the first conjugate point to a second conjugate point which is farther, comprises, a first mirror which reflects luminous flux from the first conjugate point to transform the luminous flux into substantially parallel luminous flux, and a second mirror which reflects the luminous flux reflected by the first mirror while keeping the luminous flux substantially parallel. Further, the optical system satisfies the following condition: |Arctan(1/2 F )−|2×(ξ−η)||≦10[deg]
1. An image forming optical system provided with a plurality of curved mirrors whereby a first conjugate point and a second conjugate point are made to have an optically conjugate relationship, when an optical path is traced from said first conjugate point to said second conjugate point, in order starting with said first conjugate point, comprising:
a first mirror with an optical power which reflects luminous flux from said first conjugate point to transform the luminous flux into substantially parallel luminous flux;
a second mirror with an optical power which reflects the luminous flux reflected by said first mirror while keeping said luminous flux substantially parallel;
a third mirror with an optical power which reflects the luminous flux from said second mirror;
a fourth mirror with an optical power which reflects the luminous flux from said third mirror;
a fifth mirror with an optical power which reflects the luminous flux from said fourth mirror; and
a sixth mirror with an optical power which reflects the luminous flux from said fifth mirror,
wherein the following condition is satisfied:
|Arctan(1/2 F )−|2×(ξ−η)||≦10[deg]
where ξ is an absolute value of an angle formed by the normal of said first mirror and a reference axis at an intersection of said reference axis and said first mirror, said reference axis is an optical path along which a central ray of the luminous flux from said first conjugate point progresses, η is an absolute value of an angle formed by the normal of said second mirror and said reference axis at an intersection of said reference axis and said second mirror, and F is an effective F number on said first conjugate point side, and
wherein a third conjugate point having an optically conjugate relationship with said first and second conjugate points is formed between an optical path of said fifth mirror and said sixth mirror.
2. The image-forming optical system according to claim 1 , wherein said third mirror converges the light flux reflected by said second mirror.
3. The image-forming optical system according to claim 1 , wherein the reflecting surface of at least one of said plurality of curved mirrors is a rotationally asymmetric surface.
4. A projection type image display apparatus comprising:
a plurality of display elements which display original images;
a prism which combines luminous fluxes from said plurality of display elements; and
the image-forming optical system according to claim 1 which projects the luminous fluxes from said prism onto a projection surface.
5. An image pickup apparatus comprising:
an image pickup element which optical/electrical-converts of an object image; and
the image-forming optical system according to claim 1 which forms the object image on said image pickup element.
6. An image-forming optical system provided with a plurality of curved mirrors whereby a first conjugate point and a second conjugate point are made to have an optically conjugate relationship, when an optical path is traced from said first conjugate point to said second conjugate point, in order starting with said first conjugate point, comprising:
a first mirror with an optical power which reflects luminous flux from said first conjugate point;
a second mirror with an optical power which reflects the luminous flux reflected by said first mirror;
a third mirror with an optical power which reflects the luminous flux from said second mirror;
a fourth mirror with an optical power which reflects the luminous flux from said third mirror;
a fifth mirror with an optical power which reflects the luminous flux from said fourth mirror; and
a sixth mirror with an optical power which reflects the luminous flux from said fifth mirror,
wherein the following condition is satisfied:
|Arctan(1/2 F )−|2×(ξ−η)||≦10[deg]
where ξ is an absolute value of an angle formed by the normal of said first mirror and a reference axis at an intersection of said reference axis and said first mirror, said reference axis is an optical path along which a central ray of the luminous flux from said first conjugate point progresses, η is an absolute value of an angle formed by the normal of said second mirror and said reference axis at an intersection of said reference axis and said second mirror, and F is an effective F number on said first conjugate point side, and
wherein a third conjugate point having an optically conjugate relationship with said first and second conjugate points is formed between an optical path of said fifth mirror and said sixth mirror.
7. A projection type image display apparatus comprising:
a plurality of display elements which display original images;
a prism which combines luminous fluxes from said plurality of display elements; and
the image-forming optical system according to claim 6 which projects the luminous fluxes from said prism onto a projection surface.
8. An image pickup apparatus comprising: an image pickup element which optical/electrical converts of an object image; and
the image-forming optical system according to claim 6 which forms the object image on said image pickup element.