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Applied Optics

Applied Optics


  • Vol. 27, Iss. 9 — May. 1, 1988
  • pp: 1682–1686

Optical arithmetic/logic unit based on residue arithmetic and symbolic substitution

C. David Capps, R. Aaron Falk, and Theodore L. Houk  »View Author Affiliations

Applied Optics, Vol. 27, Issue 9, pp. 1682-1686 (1988)

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There has been difficulty in achieving a fully parallel, digital optical adder or multiplier. The primary obstacle is the carry operation inherent in any fixed-radix number system. The concepts of residue number representation and symbolic substitution can be combined to produce a parallel optical arithmetic/logic unit.

© 1988 Optical Society of America

Original Manuscript: July 15, 1987
Published: May 1, 1988

C. David Capps, R. Aaron Falk, and Theodore L. Houk, "Optical arithmetic/logic unit based on residue arithmetic and symbolic substitution," Appl. Opt. 27, 1682-1686 (1988)

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  1. See, for example, Technical Digest, Topical Meeting on Optical Computing (Optical Society of America, Washington, DC, 1987).
  2. D. Casasent, “Hybrid Optical/Digital Image Pattern Recognition: A Review,” Proc. Soc. Photo-Opt. Instrum. Eng. 528, 64 (1985).
  3. H. J. Whitehouse, J. Speiser, “Linear Signal Processing Architectures,” in Aspects of Signal Processing with Emphasis of Underwater Acoustics, Vol. 2, G. Tacconi, Ed. (Reidel, Hinghan, MA, 1977). [CrossRef]
  4. D. Psaltis, R. A. Athale, “High Accuracy Computation wit Linear Analog Optical Systems: A Critical Study,” Appl. Opt. 25, 3071 (1986). [CrossRef] [PubMed]
  5. A. Huang, “Parallel Algorithms for Optical Digital Computers,” in Technical Digest, IEEE Tenth International Optical Computing Conference (1983), p. 13.
  6. K.-H. Brenner, A. Huang, N. Streibl, “Digital Optical Computing With Symbolic Substitution,” Appl. Opt. 25, 3054 (1986). [CrossRef] [PubMed]
  7. R. P. Bocker, B. L. Drake, M. E. Lasher, T. B. Henderson, “Modified Signed-Digit Addition and Subtraction using Optical Symbolic Substitution,” Appl. Opt. 25, 2456 (1986). [CrossRef] [PubMed]
  8. N. S. Szabo, R. I. Tanaka, Residue Arithmetic and Its Applications to Computer Technology (McGraw-Hill, New York, 1967).
  9. I. Niven, H. S. Zuckerman, An Introduction to the Theory of Numbers (Wiley, New York, 1980).

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