Geometrical determination of the positional relationship between the incident beam, the scan-axis, and the rotation axis of a prismatic polygonal scanner

Gerald F. Marshall

doi:10.1117/12.469199

4 June 2002 Geometrical determination of the positional relationship between the incident beam, the scan-axis, and the rotation axis of a prismatic polygonal scanner

Gerald F. Marshall

Author Affiliations +

Proceedings Volume 4773, Optical Scanning 2002; (2002) https://doi.org/10.1117/12.469199
Event: International Symposium on Optical Science and Technology, 2002, Seattle, WA, United States

Abstract

Given a prismatic polygonal scanner with a rotation axis at a fixed location O, and an incident beam with a finite width at an offset angle 2β to the optical scan-axis, it is required to determine with respect to O the location of the optical scan-axis, the coordinates of the point of incident P on a mirror-facet, and the orientation of the polygonal scanner mirror-facet, for when the incident beam is reflected along the optical scan-axis. Conversely, given a fixed location of the point of incidence P somewhere on a mirror-facet, and a fixed position of an incident beam at an offset angle 2β to a fixed location of an optical scan- axis, it is required to determine with respect to P the location and coordinates of the rotation axis O of the polygonal scanner, and the orientation of the polygonal scanner mirror-facets in the nominal position. This paper diagrammatically describes a geometrical construction procedure to provide precise analytical solutions to these problems. Most importantly the objective is to give a comprehensive visual insight into the effects and limits of changing the incident beam width, the beam offset angle, and the number of mirror-facets on a prismatic polygonal scanner.

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Gerald F. Marshall "Geometrical determination of the positional relationship between the incident beam, the scan-axis, and the rotation axis of a prismatic polygonal scanner", Proc. SPIE 4773, Optical Scanning 2002, (4 June 2002); https://doi.org/10.1117/12.469199

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