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Coupled-mode theory for spatial gap solitons in optically-induced lattices

Boris A. Malomed·Elena A. Ostrovskaya·Yuri S. Kivshar
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Abstract

We develop a coupled-mode theory for spatial gap solitons in the one-dimensional photonic lattices induced by interfering optical beams in a nonlinear photorefractive crystal. We derive a novel system of coupled-mode equations for two counter-propagating probe waves, and find its analytical solutions for stationary gap solitons. We also predict the existence of moving (or tilted) gap solitons and study numerically soliton collisions.

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Boris A. Malomed, Elena A. Ostrovskaya, Yuri S. Kivshar. 2004-11-09. Coupled-mode theory for spatial gap solitons in optically-induced lattices. https://doi.org/10.1103/physreve.71.056616

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