Abstract
Real-time correlation of 2-D optical patterns has previously been demonstrated using degenerate four-wave mixing in nonlinear optical materials.1 The approach is shown schematically in Fig. 1. Previous analysis2 has assumed a very thin nonlinear material in which case the correlation is accurate-in this paper, a closed form solution for the output is presented which includes an arbitrary material thickness Z0 and shows that the error in correlation can be significant in some typical cases and that a limitation on the scannable field exists. The error stems from the k vector mismatch for k vectors at an angle to the beam optic axis and, for the non- collinear case, from the relative transverse movement of the two beams in the nonlinear material.
© 1983 Optical Society of America
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