Stable two-dimensional solitons in nonlinear lattices
Optics
2009-11-13 v1 Pattern Formation and Solitons
Abstract
We address the existence and stability of two-dimensional solitons in optical or matter-wave media, which are supported by purely nonlinear lattices in the form of a periodic array of cylinders with self-focusing nonlinearity, embedded into a linear material. We show that such lattices can stabilize two-dimensional solitons against collapse. We also found that stable multipoles and vortex solitons are also supported by the nonlinear lattices, provided that the nonlinearity exhibits saturation.
Cite
@article{arxiv.0902.0791,
title = {Stable two-dimensional solitons in nonlinear lattices},
author = {Yaroslav V. Kartashov and Boris A. Malomed and Victor A. Vysloukh and Lluis Torner},
journal= {arXiv preprint arXiv:0902.0791},
year = {2009}
}
Comments
12 pages, 3 figures, to appear in Optics Letters