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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. 16, Iss. 1 — Jan. 1, 1999
  • pp: 71–84

Ternary pseudorandom encoding of Fourier transform holograms

Robert W. Cohn and Markus Duelli  »View Author Affiliations


JOSA A, Vol. 16, Issue 1, pp. 71-84 (1999)
http://dx.doi.org/10.1364/JOSAA.16.000071


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Abstract

Pseudorandom encoding is a statistical method for designing Fourier transform holograms by mapping ideal complex-valued modulations onto spatial light modulators that are not fully complex. These algorithms are notable because their computational overhead is low and because the space–bandwidth product of the encoded signal is identical to the number of modulator pixels. All previous pseudorandom-encoding algorithms were developed for analog modulators. A less restrictive algorithm for quantized modulators is derived that permits fully complex ranges to be encoded with as few as three noncollinear modulation values that are separated by more than 180° on the complex plane.

© 1999 Optical Society of America

OCIS Codes
(030.6600) Coherence and statistical optics : Statistical optics
(070.0070) Fourier optics and signal processing : Fourier optics and signal processing
(090.1760) Holography : Computer holography
(230.6120) Optical devices : Spatial light modulators

History
Original Manuscript: June 1, 1998
Revised Manuscript: September 10, 1998
Manuscript Accepted: September 14, 1998
Published: January 1, 1999

Citation
Robert W. Cohn and Markus Duelli, "Ternary pseudorandom encoding of Fourier transform holograms," J. Opt. Soc. Am. A 16, 71-84 (1999)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-16-1-71


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