Embedded Solitons in a Three-Wave System
Abstract
We report a rich spectrum of isolated solitons residing inside ({\it embedded } into) the continuous radiation spectrum in a simple model of three-wave spatial interaction in a second-harmonic-generating planar optical waveguide equipped with a quasi-one-dimensional Bragg grating. An infinite sequence of fundamental embedded solitons are found, which differ by the number of internal oscillations. Branches of these zero-walkoff spatial solitons give rise, through bifurcations, to several secondary branches of walking solitons. The structure of the bifurcating branches suggests a multistable configuration of spatial optical solitons, which may find straightforward applications for all-optical switching.
Cite
@article{arxiv.physics/9911045,
title = {Embedded Solitons in a Three-Wave System},
author = {Alan R. Champneys and Boris A. Malomed},
journal= {arXiv preprint arXiv:physics/9911045},
year = {2016}
}
Comments
5 pages 5 figures. To appear in Phys Rev E