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Soviet Journal of Quantum Electronics

Phase relationships in the case of a four-wave interaction in a photorefractive medium in which a reflection grating is recorded

O N Volkova, A. A. Zozulya

Published Jul 31, 1989• 1 citation
Publisher

Abstract

Derivation is given of relationships for determination of the complex amplitudes of waves interacting in a four-wave mixing process in a photorefractive crystal in which a reflection grating is recorded throughout the whole interaction zone. An analysis is made of the amplitude and phase of a nonlinear reflection coefficient. The role of the real and imaginary parts of the coupling constant in the appearance of multivalued solutions is identified.

DOI
10.1070/qe1989v019n07abeh008246

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Derivation is given of relationships for determination of the complex amplitudes of waves interacting in a four-wave mixing process in a photorefractive crystal in which a reflection grating is recorded throughout the whole interaction zone. An analysis is made of the amplitude and phase of a nonlinear reflection coefficient. The role of the real and imaginary parts of the coupling constant in the appearance of multivalued solutions is identified.
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We develop a numerical method to solve the coupled-wave equations for four-wave mixing phase conjugation in a photorefractive crystal with unequal complex coupling constants; by this method we can obtain both the intensities and the phases of various beams. We discuss the intensities and the phases of the interacting beams in a photorefractive crystal for the cases in which the phase shifts between the refractive-index gratings and the interference pattern are all π/2 and in which they are not all π/2.
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