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This is a Experimental Study study.

September 23, 2025Open Access

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

SGShang GaoXiangtan University MSMarı́a del Mar Sánchez-LópezUniversitat de Miguel Hernández d'Elx PGPascuala Garcı́a-Martı́nezUniversité Toulouse III - Paul Sabatier

Key Points

The phase triplicator profile produces direct and inverted target patterns in the ±1st orders.
Combining two identical holograms achieves convolution and correlation effects in the ±1st orders.
Experimental validation with a high-resolution liquid-crystal phase-only spatial light modulator confirms the design's effectiveness.
The configuration also yields a delta function in the DC zeroth order, enhancing signal processing capabilities.

Abstract

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.

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