# US 11,029,586 B2 · Optical system and image projection apparatus > Agents: this data is available as JSON from the patentgrep API and MCP server — see https://patentgrep.com/llms.txt - Number: US 11,029,586 B2 - Document ID: US11029586B2 - Status: Granted - Kind: B2 - Application number: 16/135,180 - Filed: 2018-09-19 - Published: 2019-03-28 - Granted: 2021-06-08 - Earliest claimed: 2017-09-25 - Assignees: Canon Kabushiki Kaisha - Applicants: Canon Kabushiki Kaisha - Inventors: Makoto Takahashi - Web page: https://patentgrep.com/patent/US11029586B2 ## CPC - G02B 17/0816: {off-axis or unobscured systems in which not all of the mirrors share a common axis of rotational symmetry, e.g. at least one of the mirrors is warped, tilted or decentered with respect to the other elements} - G03B 21/147: {Optical correction of image distortions, e.g. keystone} - G02B 9/10: one + and one - component - G02B 13/18: with lenses having one or more non-spherical faces, e.g. for reducing geometrical aberration {(G02B13/002 takes precedence)} - G02B 27/18: for optical projection, e.g. combination of mirror and condenser and objective {(photographic, cine and overhead projectors G03B21/00; photographic projection printing G03B27/32; photolithographic projectors G03F7/20; projection television H04N5/74; colour projection television H04N9/31)} - G03B 21/2066: {Reflectors in illumination beam (in projection beam G03B21/28)} - 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 An optical system includes, in order from a reduction conjugate side to an enlargement conjugate side, a refractive optical unit having a positive refractive power, and a mirror optical unit that includes a mirror element having a positive refractive power and a mirror element having a negative refractive power and reforms an intermediate image formed by the refractive optical unit. A predetermined condition is satisfied. ## Claims ### Claim 1 An optical system comprising; in order from a reduction conjugate side to an enlargement conjugate side, a refractive optical unit having a positive refractive power, and a mirror optical unit that includes a mirror element having a positive refractive power and a mirror element having a negative refractive power, wherein the mirror optical unit forms an image of an intermediate image formed by the refractive optical unit, and wherein the following conditional expressions are satisfied: 0.6≤φ0/φM1≤0.95, 0.23≤L2/L1≤0.4, and 0.09≤|φ0/φfa|≤0.2, where φ0 is the refractive power of the refractive optical unit, φM1 is a refractive power of the mirror element having the strongest positive refractive power in the mirror optical unit, L1 is a distance on an optical axis from a surface in the refractive optical unit closest to the enlargement conjugate side to a reflective surface of the mirror element having the strongest positive refractive power in the mirror optical unit, L2 is a distance on the optical axis from an intermediate image point of an on-axis light flux to the reflective surface of the mirror element having the strongest positive refractive power in the mirror optical unit, and φfa is a refractive power of an overall optical system. ### Claim 2 (depends on 1) The optical system according to claim 1, wherein the following conditional expression is satisfied: 0.05≤|φM1/φfa|≤0.2 where φfa is a refractive power of an overall optical system. ### Claim 3 (depends on 1) The optical system according to claim 1, wherein the following conditional expression is satisfied: 0.01≤L2/L4≤0.22 where L4 is a distance on the optical axis from a display surface of an image display element to the reflective surface of the mirror element having the strongest positive refractive power in the mirror optical unit. ### Claim 4 (depends on 1) The optical system according to claim 1, wherein the following conditional expression is satisfied: 1≤|β0|≤7 where β0 is a lateral magnification of the refractive optical unit. ### Claim 5 (depends on 1) The optical system according to claim 1, wherein the following conditional expression is satisfied: 1≤|φM1/φM2|≤5 where φM2 is a refractive power of a mirror element having the strongest negative refractive power in the mirror optical unit. ### Claim 6 (depends on 1) The optical system according to claim 1, further comprising an optical-path bending unit between the refractive optical unit and the mirror optical unit. ### Claim 7 (depends on 6) The optical system according to claim 6, wherein an optical path of an on-axis principal ray perpendicularly incident on a center of a lens surface of the refractive optical unit closest to the reduction conjugate side is bent. ### Claim 8 (depends on 7) The optical system according to claim 7, wherein a principal ray of an outermost off-axis light flux intersects only once with a straight line perpendicular to the center of the lens surface of the refractive optical unit closest to the reduction conjugate side. ### Claim 9 (depends on 7) The optical system according to claim 7, wherein the optical-path bending unit includes a plane mirror that inclines to the optical path. ### Claim 10 (depends on 9) The optical system according to claim 9, wherein the optical-path bending unit includes a first plane mirror having an optical axis tilted by 45° to the optical path, a second plane mirror having an optical axis tilted by 90° to the optical axis of the first plane mirror. ### Claim 11 (depends on 9) The optical system according to claim 9, wherein the intermediate image point at an entire image height of an object by the refractive optical unit is located at a position different from a position of a reflective surface of the plane mirror included in the optical-path bending unit. ### Claim 12 (depends on 11) The optical system according to claim 11, wherein the intermediate image point is located between the mirror element having the positive refractive power and the plane mirror included in the optical-path bending unit. ### Claim 13 (depends on 12) The optical system according to claim 12, wherein the intermediate image point is located between the mirror element having the positive refractive power and a plane mirror closest to the mirror element. ### Claim 14 (depends on 7) The optical system according to claim 7, wherein the optical-path bending unit includes a prism. ### Claim 15 (depends on 7) The optical system according to claim 7, wherein an exit angle of an on-axis principal ray emitted from the optical system is between 90° and 270° where an angle of an incident direction of the on-axis principal ray perpendicularly incident on the center of the lens surface of the refractive optical unit closest to the reduction conjugate side is 0°. ### Claim 16 (depends on 1) The optical system according to claim 1, wherein the following conditional expression is satisfied: 0.01≤L3/L1≤0.8 where L3 is a distance on the optical axis from the reflective surface of the mirror element having the strongest positive refractive power in the mirror optical unit to the reflective surface of the mirror element having the strongest negative refractive power in the mirror optical unit, and L4 is a distance on the optical axis from a display surface of an image display element to the reflective surface of the mirror element having the strongest positive refractive power in the mirror optical unit. ### Claim 17 (depends on 1) The optical system according to claim 1, wherein the following conditional expression is satisfied: 0.01≤L3/L4≤0.45 where L3 is a distance on the optical axis from the reflective surface of the mirror element having the strongest positive refractive power in the mirror optical unit to the reflective surface of the mirror element having the strongest negative refractive power in the mirror optical unit, and L4 is a distance on the optical axis from a display surface of an image display element to the reflective surface of the mirror element having the strongest positive refractive power in the mirror optical unit. ### Claim 18 (depends on 1) The optical system according to claim 1, wherein an optical axis of at least one optical element included in the refractive optical unit and the mirror optical unit is different from an optical axis of the refractive optical unit or the mirror optical unit. ### Claim 19 (depends on 1) The optical system according to claim 1, wherein the mirror element having the negative refractive power included in the mirror optical unit has an odd-order aspheric shape. ### Claim 20 (depends on 1) The optical system according to claim 1, wherein the refractive optical unit includes an aspheric lens having a positive refractive power closest to the reduction conjugate side. ### Claim 21 (depends on 1) The optical system according to claim 1, wherein an outer shape of an optical element included in the refractive optical unit is asymmetric with respect to one of a horizontal direction and a vertical direction of a plane orthogonal to an optical axis in the refractive optical unit. ### Claim 22 (depends on 1) The optical system according to claim 1, wherein the refractive optical unit includes a plurality of lens units, at least part of which moves so as to change a distance between adjacent lens units in zooming. ### Claim 23 An image projection apparatus comprising; an optical system; an image display element; and a light guide optical system configured to guide light from the image display element to the optical system, wherein the optical system includes, in order from a reduction conjugate side to an enlargement conjugate side, a refractive optical unit having a positive refractive power, and a mirror optical unit that includes a mirror element having a positive refractive power and a mirror element having a negative refractive power, wherein the mirror optical unit forms an image of intermediate image formed by the refractive optical unit, and wherein the following conditional expressions are satisfied: 0.6≤φ0/φM1≤0.95, 0.23≤L2/L1≤0.4, and 0.09≤|φ0/φfa|≤0.2, where φ0 is the refractive power of the refractive optical unit, φM1 is a refractive power of the mirror element having the strongest positive refractive power in the mirror optical unit, L1 is a distance on an optical axis from a surface in the refractive optical unit closest to the enlargement conjugate side to a reflective surface of the mirror element having the strongest positive refractive power in the mirror optical unit, L2 is a distance on the optical axis from an intermediate image point of an on-axis light flux to the reflective surface of the mirror element having the strongest positive refractive power in the mirror optical unit, and φfa is a refractive power of an overall optical system.