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Matrix-matrix multiplication by using grating degeneracy in photorefractive media.

We propose and demonstrate a novel method that utilizes grating degeneracy in photorefractive media in conjunction with an incoherent laser array to implement parallel optical matrix-matrix multiplication. Such a matrix-matrix multiplier is capable of handling large matrices such as those with 1000 x 1000 elements. The principle of operation and preliminary experimental results are presented.