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

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.

3 pages, submitted to Optics Letters

References in corpus (4)

• Spatial Solitons in Optically-Induced Gratings
• Discrete gap solitons in modulated waveguide arrays
• Controlled generation and steering of spatial gap solitons
• Observation of discrete gap solitons in binary waveguide arrays

Cited by in corpus (7)

• Gap solitons in Bose-Einstein condensates in linear and nonlinear optical lattices
• Localized gap soliton trains of Bose-Einstein condensates in an optical lattice
• Generalized coupled mode formalism in reciprocal waveguides with gain/loss, anisotropy or bianisotropy
• Two-dimensional solitons in saturable media with a quasi-one-dimensional lattice potential
• Experimental evidence of percolation phase transition in surface plasmons generation
• Soliton shape and mobility control in optical lattices
• Unique multistable states in periodic structures with saturable nonlinearity