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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Vol. 31, Iss. 8 — Mar. 10, 1992
  • pp: 1067–1073

Optical coordinate transformations

N. Davidson, A. A. Friesem, and E. Hasman  »View Author Affiliations


Applied Optics, Vol. 31, Issue 8, pp. 1067-1073 (1992)
http://dx.doi.org/10.1364/AO.31.001067


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Abstract

A novel technique for designing holographic optical elements that can perform general types of coordinate transformation is presented. The design is based on analytic ray-tracing techniques for finding the grating vector of the element, from which the holographic grating function is obtained as a solution of a Poissonlike equation. The grating function can be formed either as a computer-generated or as a computer-originated hologram. The design and realization procedure are illustrated for a specific holographic element that performs a logarithmic coordinate transformation on two-dimensional patterns.

© 1992 Optical Society of America

History
Original Manuscript: January 4, 1991
Published: March 10, 1992

Citation
N. Davidson, A. A. Friesem, and E. Hasman, "Optical coordinate transformations," Appl. Opt. 31, 1067-1073 (1992)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-31-8-1067

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