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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Vol. 11, Iss. 1 — Jan. 1, 1972
  • pp: 174–178

Matrix Multiplication by Optical Methods: Experimental Verification

D. P. Jablonowski, R. A. Heinz, and J. O. Artman  »View Author Affiliations


Applied Optics, Vol. 11, Issue 1, pp. 174-178 (1972)
http://dx.doi.org/10.1364/AO.11.000174


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Abstract

Matrix multiplication has been performed by optical analog methods using the scheme of Heinz et al. The most critical element was (a), the spatial filter corresponding to the two-dimensional Fourier transform of a. In the operation c = b × a, errors in the c elements were 1–2% when the a elements were all approximately the same. Very large errors occurred when the a elements differed significantly, and these were used directly [instead of the (a) derived values] in the numerical comparisons. These errors were attributed to the limited linear range of the amplitude transmittance characteristic of the film used. Suggestions for future work are made.

© 1972 Optical Society of America

History
Original Manuscript: July 8, 1971
Published: January 1, 1972

Citation
D. P. Jablonowski, R. A. Heinz, and J. O. Artman, "Matrix Multiplication by Optical Methods: Experimental Verification," Appl. Opt. 11, 174-178 (1972)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-11-1-174

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