Parallel implementation of optical symbolic substitution logic using shadow-casting and polarization

We propose a parallel implementation method for optical symbolic substitution logic. The method uses shadow-casting principles for the efficient implementation of fundamental operations required in symbolic substitution logic; namely, image replication, spatial shifting, and combination. The use of light polarization allows for the implementation in parallel of several substitution rules without replicating the input image. The distinctive features of the method include light efficiency, flexibility, cascadability, and programmability.