title: Matrix multiplication by optical methods: experimental verification.
abstract: Matrix multiplication has been performed by optical analog methods using the scheme of Heinz et al. The most critical element was F(a), the spatial filter corresponding to the two-dimensional Fourier transform of a. In the operation c = b x 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 F(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.
authors.forename: D P
authors.initials: DP
authors.lastname: Jablonowski
authors.forename: R A
authors.initials: RA
authors.lastname: Heinz
authors.forename: J O
authors.initials: JO
authors.lastname: Artman