Optical Vortex Solitons in Parametric Wave Mixing
摘要
We analyze two-component spatial optical vortex solitons supported by parametric wave mixing processes in a nonlinear bulk medium. We study two distinct cases of such localised waves, namely, parametric vortex solitons due to phase-matched second-harmonic generation in an optical medium with competing quadratic and cubic nonlinear response, and vortex solitons in the presence of third-harmonic generation in a cubic medium. We find, analytically and numerically, the structure of two-component vortex solitons, and also investigate modulational instability of their plane-wave background. In particular, we predict and analyze in detail novel types of vortex solitons, a `halo-vortex', consisting of a two-component vortex core surrounded by a bright ring of its harmonic field, and a `ring-vortex' soliton which is a vortex in a harmonic field that guides a ring-like localized mode of the fundamental-frequency field.
引用
@article{arxiv.patt-sol/9904004,
title = {Optical Vortex Solitons in Parametric Wave Mixing},
author = {Tristram J. Alexander and Yuri S. Kivshar and Alexander V. Buryak and Rowland A. Sammut},
journal= {arXiv preprint arXiv:patt-sol/9904004},
year = {2009}
}
备注
16 pages, 10 figures Revised version