English

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

Pattern Formation and Solitons 2009-11-10 v1

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.

Keywords

Cite

@article{arxiv.nlin/0411021,
  title  = {Coupled-mode theory for spatial gap solitons in optically-induced lattices},
  author = {Boris A. Malomed and Elena A. Ostrovskaya and Yuri S. Kivshar},
  journal= {arXiv preprint arXiv:nlin/0411021},
  year   = {2009}
}

Comments

3 pages, submitted to Optics Letters