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Ferroelectrics Letters Section

Role of boundary conditions in four-wave mixing in photorefractive materials

Aleksander Błȩdowski, Wieslaw Z. Krolikowski, Adam Kujawski

Published Mar 1, 1985• 1 citation
Publisher

Abstract

The exact solution to the boundary value problem for a simple model of photorefractive phase conjugate mirror is presented. The slowly varying envelope approximation (SVEA) is not made. In this way in the derivation of the formula describing reflection of a plane incident wave reflections from the boundaries of the conjugator are taken into account.

DOI
10.1080/07315178508200613

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The exact solution to the boundary value problem for a simple model of photorefractive phase conjugate mirror is presented. The slowly varying envelope approximation (SVEA) is not made. In this way in the derivation of the formula describing reflection of a plane incident wave reflections from the boundaries of the conjugator are taken into account.
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A method for exact solution of the stationary holographic degenerate four-wave mixing in reflection geometry in photorefractive media is presented. The effects of pump depletion and light absorption in the nonlinear dynamic medium are rigorously taken into account. Numerical steps in the procedure are reduced to the solution of one simple nonlinear first-order differential equation, or are absent altogether when the equation is linearized, or for the case of no absorption. The method of solution is applicable to other wave-mixing geometries as well.
Here we present four wave mixing configuration as one of the most important methods of generation and explanation of process of generation phase conjugation light the coupled equation was solved by three methods: undepleted pump approximation exact solution and two wave mixing approximation. Although exact solutions can be derived for four-wave mixing, the results are difficult to use because of the complicated transcendental equation involved. Solved the coupled equations and introduce an approximation in which two-wave mixing is the dominant process.