Multiple-order correlations and convolutions using a spatial light modulator with extended phase range

Abstract We present a new type of optical convolver / optical correlator capable of encoding higher orders. The technique is based on obtaining higher powers of a properly designed hologram. This can be obtained in two ways. First, we can recalculate higher orders of the amplitude and phase hologram in a standard spatial light modulator (SLM). More easily, we can utilize a phase-only hologram and exploit the properties of an SLM with extended phase modulation range. Experimental results agree with theory in both cases.