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Proceedings Paper

Geometrical determination of the positional relationship between the incident beam, the scan-axis, and the rotation axis of a prismatic polygonal scanner
Author(s): Gerald F. Marshall
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Paper 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.

Paper Details

Date Published: 4 June 2002
PDF: 14 pages
Proc. SPIE 4773, Optical Scanning 2002, (4 June 2002); doi: 10.1117/12.469199
Show Author Affiliations
Gerald F. Marshall, Consultant (United States)


Published in SPIE Proceedings Vol. 4773:
Optical Scanning 2002
Stephen F. Sagan; Gerald F. Marshall; Leo Beiser, Editor(s)

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