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

Nonlinear Sciences – Pattern Formation and Solitons

Scientific paper

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3 pages, submitted to Optics Letters

Scientific paper

10.1103/PhysRevE.71.056616

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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