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Analysis of the phase-only filter

The phase-only filter is of great interest for optical pattern recognition applications because of its sensitivity and because it can easily be programmed onto spatial light modulators. In evaluating the suitability of this filter for a correlator, it is useful to understand the impulse response function that is actually being correlated with the input function. In this research, we derive an analytic expression for the impales response function for the phase-only filter corresponding to a one-dimensional rectangle function. We show that this impulse response function represents a bipolar edge-enhanced version of the input function. This can be easily generalized to a two-dimensional box function. Experimental results verify the analysis.