TY - JOUR
T1 - Optical vortex solitons in parametric wave mixing
AU - Alexander, Tristram J.
AU - Kivshar, Yuri S.
AU - Buryak, Alexander V.
AU - Sammut, Rowland A.
PY - 2000
Y1 - 2000
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=0000978219&partnerID=8YFLogxK
U2 - 10.1103/PhysRevE.61.2042
DO - 10.1103/PhysRevE.61.2042
M3 - Article
SN - 2470-0045
VL - 61
SP - 2042
EP - 2049
JO - Physical Review E
JF - Physical Review E
IS - 2
ER -