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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. 15, Iss. 4 — Apr. 1, 1998
  • pp: 868–883

Pseudorandom encoding of complex-valued functions onto amplitude-coupled phase modulators

Robert W. Cohn  »View Author Affiliations


JOSA A, Vol. 15, Issue 4, pp. 868-883 (1998)
http://dx.doi.org/10.1364/JOSAA.15.000868


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Abstract

Pseudorandom encoding is a method of statistically approximating desired complex values with those values that are achievable with a given spatial light modulator. Originally developed for phase-only modulators, pseudorandom encoding is extended to modulators for which amplitude is a function of phase. This is accomplished by transforming the phase statistics to compensate for the amplitude coupling. Example encoding formulas are derived, evaluated, and compared with a noncompensating pseudorandom-encoding algorithm. Compensating algorithms encode a smaller area of the complex plane and can produce more noise than is possible for arbitrary pseudorandom algorithms. However, the encoding formulas have greatly simplified numerical implementations.

© 1998 Optical Society of America

OCIS Codes
(050.1970) Diffraction and gratings : Diffractive optics

History
Original Manuscript: April 30, 1997
Revised Manuscript: September 17, 1997
Manuscript Accepted: October 31, 1997
Published: April 1, 1998

Citation
Robert W. Cohn, "Pseudorandom encoding of complex-valued functions onto amplitude-coupled phase modulators," J. Opt. Soc. Am. A 15, 868-883 (1998)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-15-4-868

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