The propagation of a diffracting light beam in a layered nonlinear absorbing medium (in which absorbing layers alternate with transparent layers) is analyzed for the case of realization of multidomain longitudinal moving and stationary structures in a continuous medium. The action of Gaussian and ring beams is considered. It is shown that, in a layered medium, stationary multidomain structures are formed that, for a rather wide interval of ratios of the lengths of the layers, move together with the nonlinearly absorbing layers.
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