Abstract

A theory has been developed for coherent nonlinear light–matter interaction under condition of Bragg diffraction in a multidimensional resonantly absorbing photonic crystal. At the Laue scheme of diffraction in a two-wave approximation, a novel kind of the nonlinear solitary wave, the so-called Laue soliton of self-induced transparency, has been obtained as an analytical and numerical solution of corresponding Maxwell–Bloch equations.

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