Abstract

Symbolic substitution is a parallel technique for applying pattern transformation rules to an array of on/off cells. A single pattern transformation rule that requires a small fan-in and fan-out is shown to be sufficient for all computing. A simple optical architecture that makes use of optically nonlinear arrays and space-invariant imaging can implement the rule. Configurations of cells are arranged to realize dual-rail logic operators and connection primitives. Circuits are created by customizing a fixed 2-D mask to image light onto selected cells of the array. The presented techniques are intended to provide a foundation for work on digital optical computers.

© 1987 Optical Society of America

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