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Fourier transform plane superposition multiplier: theory, experimental results, and discussion.

Deuterated cesium dihydrogen arsenate (CDA) is used as a square-law device for optical processing. Placed in the Fourier transform plane, the device squares the incident optical radiation, thus producing the convolutions and correlations of the input functions at the output plane. The convolutions can be detected at the temporal angular frequency omega(a) + omega(b) and the correlations at omega(a) - omega(b), where omega(a) and omega(b) are the frequencies of the input radiation. This paper describes the experiment setup, presents the convolution data obtained, and develops an associated mathematical model of the crystal interaction in an optical data processing system.