Abstract
We derive the diffractive transfer functions in uniaxial crystals for the parametric processes of upconversion and downconversion with an undepleted plane-wave pump. This description is for Type I or Type II phase matching in either positive or negative uniaxial crystals. Our results agree closely with an experiment in KD*P in which the pump, signal, and idler wavelengths are 1.064, 1.064, and 0.532 , microm and the polarizations are extraordinary, ordinary, and extraordinary, respectively. We show that the idler output intensity is a slightly elliptical ring displaced from the ordinary ray in the direction of the Poynting vector walk-off. The experimental and theoretical spatial frequencies describing the position of the idler intensity ellipse agree closely.
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