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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Vol. 27, Iss. 21 — Nov. 1, 1988
  • pp: 4431–4437

Optimal binary phase-only matched filters

Michael W. Farn and Joseph W. Goodman  »View Author Affiliations


Applied Optics, Vol. 27, Issue 21, pp. 4431-4437 (1988)
http://dx.doi.org/10.1364/AO.27.004431


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Abstract

Many spatial light modulators and computer-generated hologram techniques can very efficiently implement binary phase-only filters. At present, almost all binary phase-only filters are designed by first designing a matched spatial filter and then binarizing it. There is no theoretical basis to expect that such a filter will be optimal. This paper first develops a theory for optimal binary phase-only filters and then presents a numerical algorithm which designs the optimal binary phase-only matched filter for a given image. The filter is optimal in the matched filter sense of maximizing SNR at the output origin. Characteristics of the optimal filter compared to conventional binary phase-only filters are discussed.

© 1988 Optical Society of America

History
Original Manuscript: March 7, 1988
Published: November 1, 1988

Citation
Michael W. Farn and Joseph W. Goodman, "Optimal binary phase-only matched filters," Appl. Opt. 27, 4431-4437 (1988)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-27-21-4431

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