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

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