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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Vol. 17, Iss. 19 — Oct. 1, 1978
  • pp: 3060–3066

Fourier transform plane superposition multiplier: theory, experimental results, and discussion

Peter S. Guilfoyle  »View Author Affiliations


Applied Optics, Vol. 17, Issue 19, pp. 3060-3066 (1978)
http://dx.doi.org/10.1364/AO.17.003060


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Abstract

Deuterated cesium dihydrogen arsenate (CD*A) is used as a square-law device for optical processing. Placed in the Fourier transform plane, the device squares the incident optical radiation, thus producing the convolutions and correlations of the input functions at the output plane. The convolutions can be detected at the temporal angular frequency ωa + ωb and the correlations at ωaωb, where ωa and ωb are the frequencies of the input radiation. This paper describes the experiment setup, presents the convolution data obtained, and develops an associated mathematical model of the crystal interaction in an optical data processing system.

© 1978 Optical Society of America

History
Original Manuscript: December 21, 1977
Published: October 1, 1978

Citation
Peter S. Guilfoyle, "Fourier transform plane superposition multiplier: theory, experimental results, and discussion," Appl. Opt. 17, 3060-3066 (1978)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-17-19-3060


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References

  1. S. G. Lipson, P. Nisenson, Appl. Opt. 13, 2052 (1974). [CrossRef] [PubMed]
  2. G. H. Heilmeier, IEEE Trans. Electron Devices ED-23, 780 (1976). [CrossRef]
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  4. N. K. Sheridon, IEEE Trans. Electron Devices ED-19, 1003 (1972). [CrossRef]
  5. D. Casasent, Proc. IEEE 65, 143 (1977). [CrossRef]
  6. J. W. Goodman, Introduction to Fourier Optics (McGraw-Hill, New York, 1968).
  7. S. H. Lee, Appl. Phys. 10, 203 (1976). [CrossRef]
  8. R. A. Eremeeva, V. A. Kudryashov, J. N. Mateev, T. G. Usacheva, A. I. Chekmenev, Sov. J. Quantum Electron. 7, 90 (1977). [CrossRef]
  9. A. Yariv, Introduction to Optical Electronics (Holt, Rinehart and Winston, New York, 1971), p. 186–198.

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