A mathematical identity allows us to express the product of two complex light fields as a sum of the intensities of four different superpositions of the two. One common holographic scheme and one proposed by Gabor and Goss turn out to be the experimental realizations of the first term and the sum of the first two terms respectively of this identity. One scheme that we propose, using the identity, bears a strong resemblance to a proposal of Wiener for producing an operational equivalent of a nonlinear transducer.
© 1978 Optical Society of America
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