Reflection type angle of view transforming optical apparatus
First Claim
1. A reflection-type angle-of-view-transforming optical apparatus comprising:
- a primary mirror having a primary reflecting surface provided in an axisymmetric form about an axis of rotational symmetry, the primary mirror being an annular member having an inner periphery and an outer periphery, the inner periphery thereof defining an aperture on the axis of rotational symmetry through which light is to be reflected, the primary mirror being constructed and arranged to receive incident light from an observed object and to reflect the incident light from the primary reflecting surface as primary reflected light;
a secondary mirror having a secondary reflecting surface provided in an axisymmetric form about the axis of rotational symmetry, the secondary mirror being disposed with the secondary reflecting surface facing the primary reflecting surface so that the secondary reflecting surface receives the primary reflected light and reflects the primary reflected light as secondary reflected light, the secondary mirror being constructed and arranged to focus the secondary reflected light on a view point that is positioned on the axis of rotational symmetry; and
an optically transparent cover constructed and arranged to support the primary mirror and the secondary mirror relative to each other so that the secondary mirror is axially aligned with the aperture,wherein the primary reflecting surface has a convex shape relative to the incident light received thereon in a radial direction, a sectional shape of the primary mirror being defined by an equation y=f1 (x) under a condition that an incident angle θ
, a sectional shape of the secondary mirror and a relationship defined by θ
=g(φ
) are satisfied, f1 (x) being determined by numerically integrating a first order derivative f1 '"'"'(Mx) defined as follows;
##EQU43## from a point M1 on the inner periphery of the primary mirror to a point (Mx, My), wherein (Mx, My) is a coordinate point on the primary reflecting surface, θ
is an incident angle of the incident light to the primary mirror, φ
is an incident angle of the secondary reflected light from the secondary mirror to the view point, P is a point on the secondary reflecting surface, and D is a distance between the viewpoint and P, andwherein the secondary reflecting surface has a nonplanar shape relative to the primary reflected light received thereon to focus the secondary reflected light through the aperture.
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Accused Products
Abstract
In a reflection type angle of view transforming optical apparatus for transforming an angle of view in an image apparatus and so forth, sufficient strength can be provided and process is facilitated by using reflecting mirrors in a wide angle optical system. The reflection type angle of view transforming optical apparatus includes a primary mirror 8 having a reflecting surface provided in an axisymmetric form to reflect incident light 12 as primary reflected light 13, a secondary mirror 10 having a reflecting surface provided in an axisymmetric form about the same axis of rotational symmetry 9 as that of the primary mirror 8, opposed to the primary mirror 8 so as to reflect the primary reflected light 13 and to get secondary reflected light 14 for focusing on a view point, and a transparent case 11 to support the primary mirror 8 and the secondary mirror 10, and transmit the incident light 12.
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Citations
21 Claims
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1. A reflection-type angle-of-view-transforming optical apparatus comprising:
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a primary mirror having a primary reflecting surface provided in an axisymmetric form about an axis of rotational symmetry, the primary mirror being an annular member having an inner periphery and an outer periphery, the inner periphery thereof defining an aperture on the axis of rotational symmetry through which light is to be reflected, the primary mirror being constructed and arranged to receive incident light from an observed object and to reflect the incident light from the primary reflecting surface as primary reflected light; a secondary mirror having a secondary reflecting surface provided in an axisymmetric form about the axis of rotational symmetry, the secondary mirror being disposed with the secondary reflecting surface facing the primary reflecting surface so that the secondary reflecting surface receives the primary reflected light and reflects the primary reflected light as secondary reflected light, the secondary mirror being constructed and arranged to focus the secondary reflected light on a view point that is positioned on the axis of rotational symmetry; and an optically transparent cover constructed and arranged to support the primary mirror and the secondary mirror relative to each other so that the secondary mirror is axially aligned with the aperture, wherein the primary reflecting surface has a convex shape relative to the incident light received thereon in a radial direction, a sectional shape of the primary mirror being defined by an equation y=f1 (x) under a condition that an incident angle θ
, a sectional shape of the secondary mirror and a relationship defined by θ
=g(φ
) are satisfied, f1 (x) being determined by numerically integrating a first order derivative f1 '"'"'(Mx) defined as follows;
##EQU43## from a point M1 on the inner periphery of the primary mirror to a point (Mx, My), wherein (Mx, My) is a coordinate point on the primary reflecting surface, θ
is an incident angle of the incident light to the primary mirror, φ
is an incident angle of the secondary reflected light from the secondary mirror to the view point, P is a point on the secondary reflecting surface, and D is a distance between the viewpoint and P, andwherein the secondary reflecting surface has a nonplanar shape relative to the primary reflected light received thereon to focus the secondary reflected light through the aperture. - View Dependent Claims (2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16)
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17. A reflection-type angle-of-view-transforming optical apparatus comprising:
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a primary mirror having a primary reflecting surface provided in an axisymmetric form about an axis of rotational symmetry, the primary mirror being an annular member having an inner periphery and an outer periphery, the inner periphery having an inner diameter defining an aperture through which light is to be reflected, the primary mirror being constructed and arranged to receive incident light from an observed object and to reflect the incident light from the primary reflecting surface as primary reflected light; a secondary mirror having a secondary reflecting surface provided in an axisymmetric form about the axis of rotational symmetry, the secondary mirror being disposed with the secondary reflecting surface facing the primary reflecting surface so that the secondary reflecting surface receives and reflects the primary reflected light from the primary mirror as secondary reflected light, the secondary mirror being constructed and arranged to focus the secondary reflected light on a view point positioned at the aperture on the axis of rotational symmetry; and an optically transparent cover constructed and arranged to support the primary mirror and the secondary mirror relative to each other and coaxial with the aperture; wherein at least one of the primary mirror and the secondary mirror is divided into a plurality of concentric partial mirrors, each of the plurality of concentric partial mirrors having an annular reflecting surface with a convex shape relative to the incident light received thereon in a radial direction, a sectional shape of the primary mirror being defined by an equation y=f1 (x) under a condition that an incident angle θ
, a sectional shape of the secondary mirror and a relationship defined by θ
=g(φ
) are satisfied, f1 (x) being determined by numerically integrating a first order derivative f1 '"'"'(Mx) defined as follows;
##EQU44## from a point M1 on the inner periphery of the primary mirror to a point (Mx, My), wherein (Mx, My) is a coordinate point on the primary reflecting surface, θ
is an incident angle of the incident light to the primary mirror, φ
is an incident angle of the secondary reflected light from the secondary mirror to the view point, P is a point on the secondary reflecting surface, and D is a distance between the viewpoint and P,the reflecting surfaces of the plurality of concentric partial mirrors being formed to provide different relationships between the incident angle θ
between the axis of rotational symmetry and the incident light and the incident angle φ
between the axis of rotational symmetry and the secondary reflected light so that the object can be concurrently observed in separate fields of view.
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18. A reflection-type angle-of-view-transforming optical apparatus comprising:
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a primary mirror having a primary reflecting surface provided in an axisymmetric form about an axis of rotational symmetry, the primary mirror being an annular member having an inner periphery and an outer periphery, the inner periphery thereof defining an aperture on the axis of rotational symmetry through which light is to be reflected, the primary reflecting surface having a radial curvature from the inner periphery to the outer periphery and a circumferential curvature that is perpendicular to the radial curvature, the primary mirror being constructed and arranged to receive incident light from an observed object and to reflect the incident light from the primary reflecting surface as primary reflected light; a secondary mirror having a secondary reflecting surface provided in an axisymmetric form about the axis of rotational symmetry, the secondary mirror disposed with the secondary reflecting surface facing the primary reflecting surface, the secondary reflecting surface being constructed and arranged to reflect the primary reflected light as secondary reflected light and to focus the secondary reflected light on a view point that is positioned on the axis of rotational symmetry; and an optically transparent cover constructed and arranged to support the primary mirror and the secondary mirror relative to each other so that the secondary mirror is axially aligned with the aperture, wherein the radial curvature and the circumferential curvature each has a shape defined by a second-order derivative of an equation for a curve, the primary surface having a convex shape relative to the incident light received thereon in a radial direction, a sectional shape of the primary mirror being defined by an equation y=f1 (x) under a condition that an incident angle θ
a sectional shape of the secondary mirror and a relationship defined by θ
=g(φ
) are satisfied, f1 (x) being determined by numerically integrating a first order derivative f1 (Mx) defined as follows;
##EQU45## from a point M1 on the inner periphery of the primary mirror to a point (Mx, My), wherein (Mx, My) is a coordinate point on the primary reflecting surface, θ
is an incident angle of the incident light to the primary mirror, φ
is an incident angle of the secondary reflected light from the secondary mirror to the view point, P is a point on the secondary reflecting surface, and D is a distance between the viewpoint and P. - View Dependent Claims (19, 20, 21)
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Specification