Abstract: A projection optical system is disclosed with which undistorted images can be obtained at any image position within a specification range, and whose projection angle can be changed. The projection optical system includes a plurality of optical elements and a first optical system constituted by at least one of the plurality of optical elements having the ability to form an image with light onto a predetermined surface different from the projection surface. A projection image of the original image can be moved by rotating a first optical element of the plurality of optical elements substantially around a center of an exit pupil position of the first optical system as the rotation center.

Abstract: A catoptric projection optical system for projecting a pattern on an object surface onto an image surface includes plural mirrors, wherein a second mirror from the image surface through the optical path receives convergent pencil of rays, and has a paraxial magnification of −0.14 or smaller.

Abstract: A catoptric projection optical system for projecting a reduced size of a pattern on an object surface onto an image surface and for serving as an imaging system that forms an intermediate image between the object surface and image surface, includes six or more mirrors, wherein a position of an exit pupil with respect to the intermediate image is located between the object surface and image surface, and wherein the largest angle between principal rays and an optical axis for angles of view at the position of the exit pupil is sin−1NA or smaller, where NA is a numerical aperture at the side of the image surface.

Abstract: An optical element comprising an object-side imaging element for imaging an object on an intermediate image plane in an optical path before a final image plane and an image-side imaging element for reimaging an object image formed on the intermediate image plane, on the final image plane, wherein at least one of the object-side imaging element and the image-side imaging element comprises an off-axial curved surface, and wherein aberration is generated by both of the object-side imaging element and the image-side imaging element, thereby flattening (disturbance of) a light intensity distribution caused on the final image plane by a noise source at or near the intermediate image plane.

Abstract: The invention provides a reflective optical element which has three or more reflecting surfaces by which a light flux from an object is successively reflected. In an area enclosed by each of the reflecting surfaces, the reference axis intersects at least two times and the light flux forms an intermediate image. The reference axis is a path of the light beam which passes through the center of an object surface, is then reflected by the reflecting surfaces, and passes through a center of a pupil. The reflective optical element satisfies the following condition: 4·f·tan&thgr;<ea wherein &thgr; is a maximum field angle that passes through the pupil in a plane that includes the reference axis, f is a focal length of an optical part between the pupil and an intermediate-image forming surface, and ea is a maximum optical effective diameter of the reflective optical element.

Abstract: To obtain an original reading imaging optical system, with which a carriage integral type scanning system can be readily realized in an original reading system such as a digital copier for which high-speed performance and high resolution are required, and an image reading apparatus using the same. According to the present invention, by crossing optical paths in a reflection optical system, the more compact imaging optical system capable of coping with decentering error can be attained. Further, by crossing the optical paths on an object side from a diaphragm, the still more compact imaging optical system can be attained. As a result, the original reading imaging optical system of the carriage integral type scanning system and the image reading apparatus using the same can be provided.

Abstract: A projection optical system having a plurality of reflecting surfaces is disclosed in which a sufficiently large angle is provided between an incident side reference axis and an emerging side reference axis while tilt angles of the respective reflecting surfaces can remain small. The projection optical system projects luminous flux from an image forming element which forms an original image onto a projection surface. The incident side reference axis and the emerging side reference axis of the projection optical system are oblique to each other. The projection optical system has a plurality of reflecting surfaces each having a curvature. The reflecting surfaces are arranged such that the reference axis has at least one intersection in the projection optical system.

Abstract: A projection optical system which has a short projection distance and a compact structure, and allows oblique projection. The projection optical system projects luminous flux from an image forming element for forming an original image onto a projection surface which is oblique to a central principal ray which is a principal ray of luminous flux traveling from the center of the original image to the center of a finally formed image. The system includes a plurality of reflecting surfaces each having a curvature. In addition, the projection optical system satisfies a predetermined expression (1).

Abstract: A projection optical system which can project a bright image with less distortion and a small projection distance without causing aberration or an increase in size of reflective surfaces is disclosed. The projection optical system projects luminous flux from an original image onto a projection surface which is oblique to a central principal ray which is a principal ray of luminous flux traveling from the center of the original image to the center of a projected image. The projection optical system comprises a refractive optical system which includes a plurality of refractive optical elements through which the luminous flux from the original image passes through, and a reflective optical system which includes a plurality of reflective surfaces each having an optical power and guides the luminous flux emerging from the refractive optical system to the projection surface.

Abstract: In a multi-eye camera head unit (10), a panoramic image sensing exchangeable camera head unit (111) and three-dimensional image sensing exchangeable camera head unit (112) are exchanged in correspondence with the image sensing mode. The panoramic image sensing exchangeable camera head unit (111) includes a pair of optical elements (111R, 111L), which comprise offaxial optical systems each having a plurality of reflecting and refracting surfaces. The three-dimensional image sensing camera head unit (112) includes a pair of optical elements (112R, 112L), which comprise offaxial optical systems each having a plurality of reflecting and refracting surfaces.

Abstract: An optical element formed from a transparent optical material includes two refraction surfaces, a first reflection surface group having a plurality of internal reflection surfaces arrayed in a predetermined direction, a second reflection surface group opposing the first reflection surface group and having at least one internal reflection surface and two side surfaces opposing each other in parallel to the predetermined direction. Light incident from one of the refraction surfaces is alternately reflected by the internal reflection surfaces of the first reflection surface group and the internal reflection surface of the second reflection surface group and guided to the other refraction surface.

Abstract: A projection optical system is provided to guide a beam from an image display panel onto a screen surface inclined relative to a reference axis, and to form image information on the screen surface. The projection optical system has a reflecting optical system which has a plurality of rotation-asymmetrical reflecting surfaces having curvatures, and in which the beam from the image display panel is reflected by the plurality of rotation-asymmetrical reflecting surfaces and is guided onto the screen surfaces of the reflecting optical system or between the reflecting optical system and the image display panel. The stop is set so as to be imaged at a negative magnification by an optical member disposed more adjacent to the screen than the stop position.

Abstract: An optical element formed from a transparent optical material includes two refraction surfaces, a first reflection surface group having a plurality of internal reflection surfaces arrayed in a predetermined direction, a second reflection surface group opposing said first reflection surface group and having at least one internal reflection surface and two side surfaces opposing each other in parallel to the predetermined direction. Light incident from one of the refraction surface is alternately reflected by the internal reflection surfaces of the first reflection surface group and the internal reflection surface of the second reflection surface group and guided to the other refraction surface.

Abstract: An optical element formed from a transparent optical material includes two refraction surfaces, a first reflection surface group having a plurality of internal reflection surfaces arrayed in a predetermined direction, a second reflection surface group opposing said first reflection surface group and having at least one internal reflection surface and two side surfaces opposing each other in parallel to the predetermined direction. Light incident from one of the refraction surface is alternately reflected by the internal reflection surfaces of the first reflection surface group and the internal reflection surface of the second reflection surface group and-guided to the other refraction surface.

Abstract: A projection optical system includes an optical modulation unit which outputs modulated light for displaying an image, an optical scanning unit on which the modulated light output from the optical modulation unit is incident, the optical scanning unit scanning the light from the optical modulation unit to obtain a two-dimensional image, and a plurality of curved reflecting surfaces on which the light scanned by the optical scanning means is sequentially incident, the plurality of curved reflecting surfaces sequentially reflecting the light scanned by the optical scanning means and projecting the light on a projected surface, wherein when an optical path of a ray connecting a center of a pupil of the projection optical system and a center of a projected image is set as a reference axis, the reference axis is inclined with respect to a normal to the projected surface.

Abstract: In a multi-eye camera head unit (10), a panoramic image sensing exchangeable camera head unit (111) and three-dimensional image sensing exchangeable camera head unit (112) are exchanged in correspondence with the image sensing mode. The panoramic image sensing exchangeable camera head unit (111) includes a pair of optical elements (111R, 111L), which comprise offaxial optical systems each having a plurality of reflecting and refracting surfaces. The three-dimensional image sensing camera head unit (112) includes a pair of optical elements (112R, 112L), which comprise offaxial optical systems each having a plurality of reflecting and refracting surfaces.

Abstract: An image-taking optical system according to the present invention for forming an image of a two-dimensional object on an image-taking surface comprises a plurality of reflecting surfaces which reflect light from the two-dimensional object sequentially and guides the light to the image-taking surface, and a reference axis passing through the center of the pupil of the image-taking system and the center of the optical image formed on the image-taking surface is inclined with respect to the normal line of the two-dimensional object.

Abstract: The invention discloses a projection optical system for projecting an original image onto a projection surface. The projection optical system comprises a plurality of aspherical curved mirrors, which reflects image light from the original image in sequence and then forms an image on the projection surface. The projection optical system forms a projected image on the projection surface at an aspect ratio different from that of the original image by a combination of reflective actions of the image light on the aspherical surfaces of the plurality of aspherical curved mirrors. Even in a projection optical system having a wide angle of view and a short distance of projection, it is possible to implement a projection optical system that is capable of suppressing distortion and performing an optical aspect conversion.

Abstract: The invention provides a reflective optical element which has three or more reflecting surfaces by which a light flux from an object is successively reflected. In an area enclosed by each of the reflecting surfaces, the reference axis intersects at least two times and the light flux forms an intermediate image. The reference axis is a path of the light beam which passes through the center of an object surface, is then reflected by the reflecting surfaces, and passes through a center of a pupil.

Abstract: A reflecting optical element is disclosed which includes the following articles.