An analog optical processor for evaluating weighted sums of outer products in parallel is described. It uses a linear array of light sources oriented along the diagonal, two-dimensional spatial light modulators to encode input vectors, a two-dimensional detector array to generate the output, and conventional spherical and cylindrical lenses. This system can be used to multiply two matrices as well as to evaluate a weighted rank-1 synthesis of images in a single clock cycle of the processor. Initial experimental results are presented, and factors limiting the performance are described. Implications of this architecture to optical signal- and image-processing systems are discussed.
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CorrectionsRavindra A. Athale, Kannan Raj, and Vikram A. Savkar, "Fully parallel analog optical calculation of multiple outer products: erratum," Opt. Lett. 18, 1573-1573 (1993)