A philosophy for optical filter optimization

I espouse an approach to optimizing filters on arbitrary SLMs that is different from some approaches to be found in the current literature. The method begins with selecting a metric by which to judge the operation of the correlator. The metric is to be based on observable features, not on inaccessible internal states of the correlator. That metric is optimized by choice of the implemented filter — significantly, the optimization is done under restriction to realizable filter values, not under other restrictions such as to unit filter energy or matching phase inappropriately. A necessary condition of optimality is that the partial derivative of the metric with respect to allowed changes in the realizable filter value is zero. The ramifications of these precepts are examined and examples are shown.

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