Associative memory in a volume holographic medium: a new approach based on operator theory

Abstract

In this article, we present a new method for holographic implementation of associative memories. In the current approach, the memory capacity is implemented in the form of spatial perturbation of refractive index within the volume of a three dimensional holographic material. We use operator theory to solve the inverse problem and compute a closed-form solution for the spatial distribution of the perturbation considering any arbitrary set of input–output prototype vectors. Simplicity of the hardware is the major advantage of the current method.