Abstract
The problem of studying the self-effect of a light beam in a nonlinear medium, and its scattering and reflection by the collapse region has been reduced to solving a system of high-order differential equations. This enabled us to use the Runge-Kutta method which improves considerably the accuracy in solving self-effect problems as compared with the conventional phase screen method. The self-effect and reflection of a light beam from the collapse region where the beam diameter decreases to the light wavelength λis investigated numerically. Calculations confirmed the main conclusions of the approximate solution of this problem which we obtained earlier in [1].
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