Optical system for real-time multiplication of the multiple matrix with a 2-D light source array

An optical system for real-time multiplication of the multiple matrix is proposed. A 2-D light source array enables this system to perform a triple matrix multiplication without the unidirectional diffuser that was essential in the former system we proposed. The performance of this system is discussed based on a simplified model to show the guidelines for designing the system. The preliminary experiments of multiplying three 3 x 3 matrices are successfully carried out with a mean error of 2.0%. A method to multiply the multiple matrix with binary elements using our system is also shown.