Optical vortex solitons in parametric wave mixing

Tristram J. Alexander, Yuri S. Kivshar, Alexander V. Buryak, Rowland A. Sammut

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    37 Citations (Scopus)

    Abstract

    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 localized 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.

    Original languageEnglish
    Pages (from-to)2042-2049
    Number of pages8
    JournalPhysical Review E
    Volume61
    Issue number2
    DOIs
    Publication statusPublished - 2000

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