Calculating nonlinear optical phenomena in a barium-strontium niobate photorefractive crystal we constructed a mathematical model of the two-dimensional linearly polarized Gaussian light beams propagation taking into account all components of the linear electrooptic tensor. We investigated the dependence of the light beam intensity on the polarization azimuth at the entrance of the crystal and on the direction of the external electric field applied to a photorefractive crystal. We determined the conditions under which the focusing of two-dimensional Gaussian light beams at the exit of the crystal is maximal.
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