Optical Vortex Solitons in Parametric Wave Mixing

Details Optical Vortex Solitons in Parametric Wave Mixing Optical Vortex Solitons in Parametric Wave Mixing

1999-04-13

arxiv.org/abs/patt-sol/9904004v2

Nonlinear Sciences

Pattern Formation and Solitons

16 pages, 10 figures Revised version

Scientific paper

10.1103/PhysRevE.61.2042

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.

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