Triplicator phase-only hologram and its use as an optical convolver and correlator

We apply the phase triplicator profile to a phase-only hologram to generate three equally intense harmonic orders, yielding a direct version and an inverted complex conjugated version of the target pattern in the ±1st orders, and a delta function in the DC zeroth order. When combined with another identical phase-only target function, the resulting hologram yields convolution and correlation in the ±1st orders, and the target function in the zero-order. Experimental results obtained with a high-resolution liquid-crystal phase-only spatial light modulator (SLM) demonstrate the proposed design.