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Journal of the Optical Society of America A

Journal of the Optical Society of America A

| OPTICS, IMAGE SCIENCE, AND VISION

  • Vol. 22, Iss. 6 — Jun. 1, 2005
  • pp: 1077–1085

Imaging with tilted surfaces: an efficient matrix method for the generalized Scheimpflug condition and its application to rotationally symmetric triangulation

Peter Ott  »View Author Affiliations


JOSA A, Vol. 22, Issue 6, pp. 1077-1085 (2005)
http://dx.doi.org/10.1364/JOSAA.22.001077


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Abstract

An efficient two-dimensional matrix method is presented that facilitates the design of optical systems with tilted surfaces for which the requirement or knowledge of the orientation of the image plane is necessary, i.e., for which a generalized Scheimpflug condition is needed. In more general terms, the method results in imaging properties of second-order expansion, but the method is linear. Therefore the complexity of the design process is considerably reduced. The strength of the design method is demonstrated in detail for a novel application in which a reflective optical system of several surfaces is required for rotationally symmetric triangulation.

© 2005 Optical Society of America

OCIS Codes
(120.3620) Instrumentation, measurement, and metrology : Lens system design
(220.1250) Optical design and fabrication : Aspherics
(220.3620) Optical design and fabrication : Lens system design

History
Original Manuscript: August 10, 2004
Manuscript Accepted: October 14, 2004
Published: June 1, 2005

Citation
Peter Ott, "Imaging with tilted surfaces: an efficient matrix method for the generalized Scheimpflug condition and its application to rotationally symmetric triangulation," J. Opt. Soc. Am. A 22, 1077-1085 (2005)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-22-6-1077

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