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Optics Letters

Optics Letters


  • Vol. 14, Iss. 16 — Aug. 15, 1989
  • pp: 847–849

Numerical optical computing in the residue number system with outer-product lookup tables

Mark L. Heinrich, Ravindra A. Athale, and Michael W. Haney  »View Author Affiliations

Optics Letters, Vol. 14, Issue 16, pp. 847-849 (1989)

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An optical outer-product architecture is presented that performs residue arithmetic operations with position-coded lookup tables. The architecture can implement arbitrary integer-valued functions of two independent variables in a single gate delay. The outer-product configuration possesses spatial complexity (a gate count) that grows linearly with the size of the modulus, and therefore with the system’s dynamic range, in contrast to traditional residue lookup tables, which have quadratic growth in spatial complexity. The use of linear arrays of sources and modulators leads to power requirements that also grow linearly with the size of the modulus.

© 1989 Optical Society of America

Original Manuscript: February 15, 1989
Manuscript Accepted: May 24, 1989
Published: August 15, 1989

Mark L. Heinrich, Ravindra A. Athale, and Michael W. Haney, "Numerical optical computing in the residue number system with outer-product lookup tables," Opt. Lett. 14, 847-849 (1989)

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  1. N. S. Szabo, R. I. Tanaka, Residue Arithmetic and Its Applications to Computer Technology (McGraw-Hill, New York, 1967).
  2. S. A. Collins, Proc. Soc. Photo-Opt. Instrum. Eng. 128, 313 (1977).
  3. A. Huang, Y. Tsunoda, J. W. Goodman, S. Ishihara, Appl. Opt. 18, 149 (1979). [CrossRef] [PubMed]
  4. C. C. Guest, T. K. Gaylord, Appl. Opt. 19, 1201 (1980). [CrossRef] [PubMed]
  5. A. P. Goutzoulis, E. C. Malarkey, D. K. Davies, J. C. Bradley, P. R. Beaudet, Appl. Opt. 27, 1674 (1988). [CrossRef] [PubMed]
  6. C. D. Capps, R. A. Falk, T. L. Houk, Appl. Opt. 27, 1682 (1988). [CrossRef] [PubMed]
  7. R. A. Athale, W. C. Collins, Appl. Opt. 21, 2089 (1982). [CrossRef] [PubMed]
  8. A. Kostrzewski, Y. Li, B. Ha, D. H. Kim, G. Eichmann, in Digest of Annual Meeting of the Optical Society of America (Optical Society of America, Washington, D.C., 1988), paper MAA4.
  9. D. A. B. Miller, Opt. Eng. 26, 368 (1987).

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