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
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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.
© (2002) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
Gerald F. Marshall, 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); doi: 10.1117/12.469199; https://doi.org/10.1117/12.469199
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