This paper deals with numerical optical computing using the residue arithmetic representation. Specifically, a scheme for performing an addition operation given in the literature1 is extended and applied to the design of a particular device, a numerical temporal integrator. The temporal integrator is a device that keeps a running sum of a sequence of numbers which come in one after another. Two independent operations are needed to achieve this goal, a sum operation and a hold operation providing storage. The sum operation uses the interference of two plane waves on the input of a Hughes liquid crystal light valve. In the square law detection process the two spatial frequencies are added. The hold operation is formed from a feedback summer. Over 2000 such devices operating in parallel are potentially possible on a standard Hughes liquid crystal light valve.
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