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Applied Optics

Applied Optics


  • Vol. 31, Iss. 11 — Apr. 10, 1992
  • pp: 1810–1812

Realization of perfect shuffle and inverse perfect shuffle transforms with holographic elements

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

Applied Optics, Vol. 31, Issue 11, pp. 1810-1812 (1992)

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Techniques for implementing perfect shuffle and inverse perfect shuffle operations with the aid of a single holographic optical element are presented. The element is composed of subholographic lenses which operate on a different input area. For the inverse perfect shuffle operation, polarization coding is added in order to separate the input into distinct groups. Experimental results illustrating the effectiveness of the proposed techniques are given.

© 1992 Optical Society of America

Original Manuscript: February 25, 1991
Published: April 10, 1992

N. Davidson, A. A. Friesem, and E. Hasman, "Realization of perfect shuffle and inverse perfect shuffle transforms with holographic elements," Appl. Opt. 31, 1810-1812 (1992)

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  1. A. W. Lohmann, W. Stork, G. Stucke, “Optical perfect shuffle,” Appl. Opt. 25, 1530–1531 (1986). [CrossRef] [PubMed]
  2. A. W. Lohmann, “What classical optics can do for the digital optical computer,” Appl. Opt. 25, 1543–1549 (1986). [CrossRef] [PubMed]
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  5. S. Bain, K. Xu, J. Hong, “Optical perfect shuffle using Wollaston prisms,” Appl. Opt. 30, 173–174 (1991). [CrossRef]
  6. H. S. Stone, “Parallel processing with perfect shuffle,” IEEE Trans. Comput. C-20, 153–161 (1971). [CrossRef]
  7. J. W. Goodman, “Linear space-variant optical data processing,” in Optical Information Processing, S. H. Lee, ed. (Springer-Verlag, Berlin, 1981), Chap. 6, p. 248.

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