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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Vol. 9, Iss. 3 — Mar. 1, 1970
  • pp: 687–694

Linear Vector Operations in Coherent Optical Data Processing Systems

R. G. Eguchi and F. P. Carlson  »View Author Affiliations


Applied Optics, Vol. 9, Issue 3, pp. 687-694 (1970)
http://dx.doi.org/10.1364/AO.9.000687


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Abstract

The generation of a two-dimensional linear vector space in a coherent optical data processing system and its specific application to the gradient operator is discussed using theoretical and experimental results. The vector space is created by superposing the outputs of two Fourier optical systems having light of mutually orthogonal polarizations. As a result, the total amplitude of the signal in the output plane is a vector sum of the signals from the systems. If each one of the systems performs one of the partial derivative operations of the transverse gradient, and if the inputs to both systems are identical, then the output is the vector sum of the partial derivatives or the transverse gradient operation. The experimental program is heavily oriented toward the realization of the optimum approximation to the jωxî and j ω y j ˆ filters, rather than using various binary-type filters. Problems with film and lens noise are also discussed.

© 1970 Optical Society of America

History
Original Manuscript: April 21, 1969
Published: March 1, 1970

Citation
R. G. Eguchi and F. P. Carlson, "Linear Vector Operations in Coherent Optical Data Processing Systems," Appl. Opt. 9, 687-694 (1970)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-9-3-687


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References

  1. J. W. Goodman, Introduction to Fourier Optics (McGraw-Hill, Inc., New York, 1968).
  2. L. J. Cutrona, E. N. Leith, C. V. Palermo, L. J. Porcello, IRE Trans. Inform. Theory 6, 386 (1960). [CrossRef]
  3. L. J. Cutrona, E. N. Leith, L. J. Porcello, Proc. Natl. Electron Conf. 15, 1 (1959).
  4. E. L. O’Neill, IRE Trans. Inform. Theory 2, 56 (1956). [CrossRef]
  5. T. M. Holladay, J. D. Gallatin, J. Opt. Soc. Amer. 56, 869 (1966). [CrossRef]
  6. R. Bracewell, The Fourier Transform and Its Applications (McGraw-Hill Book Co., Inc., New York, 1968).
  7. R. G. Eguchi, F. P. Carlson, “Coherent Optical Gradient System,” University of Washington, Tech. Rept., TR 127, November1968.

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