A general method for calculating second-order nonlinear processes in crystals is presented. This approach includes beam depletion and diffraction while permitting a spatial variation of the indices of refraction. As a particular example, second-harmonic generation in a crystal is studied. In this case the spatial variation of the indices of refraction is due to local heating of the crystal caused by the partial absorption of the fundamental beam.
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Dreger et al. (1990) studied this question.
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