# US 4,395,123 A · Interferometric angle monitor > Agents: this data is available as JSON from the patentgrep API and MCP server — see https://patentgrep.com/llms.txt - Number: US 4,395,123 A - Document ID: US4395123A - Status: Granted - Kind: A - Application number: 06/195,227 - Filed: 1980-10-08 - Granted: 1983-07-26 - Earliest claimed: 1980-10-08 - Assignees: The United States of America as represented by the Administrator of the National Aeronautics and Space Administration - Inventors: Peter O. Minott - Web page: https://patentgrep.com/patent/US4395123A ## CPC - G01D 5/30: the beams of light being detected by photocells - G01D: MEASURING NOT SPECIALLY ADAPTED FOR A SPECIFIC VARIABLE; ARRANGEMENTS FOR MEASURING TWO OR MORE VARIABLES NOT COVERED IN A SINGLE OTHER SUBCLASS; TARIFF METERING APPARATUS; MEASURING OR TESTING NOT OTHERWISE PROVIDED FOR ## Abstract Two mutually coherent light beams (50, 58) formed, for example, from a single monochromatic light source (32) are directed to a reflecting surface (20) of a rotatable object (18), such as a mirror, where they are reflected into imaging optical lens (10) having a focal plane optically at infinity whereby a series of interference fringes (14) will be formed in the focal plane (12) which will translate linearly thereacross in response to angular rotation of the object. Photodetectors (22, 24) are located adjacent the focal plane to detect the fringe translation and outputs a signal in response thereto which is fed to a signal processor (30) which is adapted to count the number of fringes detected and develop therefrom a measure of the angular rotation and direction of the object. ## Claims ### Claim 1 Apparatus for measuring the angular displacement of a rotatable object having means for reflecting optical beams, by measuring the linear displacement of a series of optical interference fringes, comprising: means for providing from sources (S.sub.1, S.sub.2) separated by a distance (d) coherent radiation in the form of two mutually coherent, generally parallel optical beams (b.sub.1, b.sub.2) directed toward said reflecting means (20) of said rotatable object; imaging optical means (10) positioned to receive said two optical beams from said reflecting means (20), for providing a focal plane (12) optically at a distance (Z) from said reflecting means of a relatively larger magnitude in relation to the distance (d) separating said sources whereby an interference fringe pattern (14) is formed at said focal plane (12) which translates linearly thereacross in response to angular movement of said reflective means; detector means (22) located at a predetermined point along said focal plane and being operable to provide an output signal indicative of translation of said fringe pattern; and means (30) responsive to said output signal for providing a measure of said angular movement of said reflective means. ### Claim 2 (depends on 1) The apparatus as defined by claim 1 wherein said means for providing said coherent radiation comprises at least one monochromatic light source (32). ### Claim 3 (depends on 1) The apparatus as defined by claim 1 wherein said means for providing said coherent radiation comprises a monochromatic light source (32) and optical means (42, 48, 52, 56) associated with said monochromatic light source which form said two optical beams from said source so that they appear to emanate from a pair of virtual sources (S.sub.1 ', S.sub.2 '). ### Claim 4 (depends on 3) The apparatus as defined by claim 3 wherein said monochromatic light source (32) comprises a laser. ### Claim 5 (depends on 1) The apparatus as defined in claim 1 wherein said imaging means (10) provides a focal plane (f) which is optically at infinity. ### Claim 6 (depends on 1) The apparatus as defined by claim 1 wherein said detector means comprises photodetector means (22) providing an output signal indicative of the number of fringes in said pattern passing said predetermined point. ### Claim 7 (depends on 6) The apparatus as defined by claim 6 and wherein said means for providing said measure of angular movement comprises processor means (30) programmed to implement a predetermined mathematical function which relates the number of fringes indicated in said output signal to angular movement. ### Claim 8 (depends on 7) The apparatus as defined by claim 7 wherein said processor means implements the mathematical expression: .alpha.=1/2 sin.sup.-1 [2N .lambda./d] where .alpha. is the angular movement of said reflective means, N is the number of fringes, .lambda. is the wavelength of the coherent radiation, and d is the separation distance between said sources. ### Claim 9 (depends on 6) The apparatus as defined by claim 6 wherein said detector means includes additional photodetector means (24) for providing an output signal which is usable to provide an indication of the direction of translation of said fringe pattern. ### Claim 10 (depends on 6) The apparatus as defined by claim 6 and additionally including aperture means (29) located intermediate said photodetector means (22, 24) and said focal plane (12). ### Claim 11 Apparatus for measuring the angular displacement of a rotatable object having means for reflecting optical beams, by measuring the linear displacement of a series of optical interference fringes, comprising: a source (32) emitting monochromatic, coherent radiation (34); beam expanding optics (36) disposed relative to said source to focus said radiation; a first aperture (38) positioned at the focus of said beam expanding optics to pass said radiation as a single diverging spherical beam (40); means including a plurality of reflective surfaces (42, 48, 52, 56/60, 62, 68, 74) for dividing said single spherical beam and projecting toward said reflective means (20) a pair of generally parallel, diverging spherical beams (b.sub.1, b.sub.2) emanating from a pair of virtual sources (S.sub.1, S.sub.2) separated by a distance (d); an imaging optical system (10) having an optical axis intersecting said object, positioned to focus radiation from said pair of diverging spherical beams reflected from said reflective means upon a focal plane (12) optically at a distance (Z) from said reflecting means of a significantly larger magnitude in relation to said distance (d) separating said virtual sources whereby an interference fringe pattern (14) is formed at said focal plane, and wherein said pattern translates linearly across said focal plane in response to angular movement of said reflective means; a second aperture (26) positioned behind said focal plane and centered upon said optical axis of said imaging system; and a photodetector exposed to said radiation via said second aperture for providing a signal indicative of the intensity of said fringe pattern at said second aperture.