Abstract
A collinear optical heterodyne system with twin ultrasonic light modulators (ULM) is considered within the Raman-Nath regime. The zeroth order beam of light emerging from the first ULM enters the second ULM and splits into the diffraction spectrum with the frequencies shifted by integral multiples of the driving sound frequency. For the purpose of photomixing, the positive or negative first order beam in this spectrum can be superposed on the first order beam of light from the first ULM which passes through the second ULM without deflection, and comes to the same location as the other. Experimental verification is successfully carried out by producing a beat signal of light with a difference frequency between two sound frequencies. It is demonstrated analytically that a convolution or correlation function between two time varying signals can be obtained, according to whether the beat signal of light has the sum or difference frequency of the two driving sound frequencies. The sum or difference frequency can be generated as one of the sound waves proceeds in the same or reverse direction as the other.
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