Optical system for real-time processing of multiple matrix product

A novel optical system for real-time processing of a multiple matrix product is proposed. In this system, there is no scanning mechanism, and all of the N×N matrices to be multiplied have the N2 format. This system can easily be extended to that for multiplication of more than three matrices using a holographic unidirectionally diffusing screen. The preliminary experiments of multiplying three matrices based on this system is successfully demonstrated with a mean error of 4.7%.