Stabilization of vortex solitons in nonlocal nonlinear media

Antonmaria A. Minzoni; Noel F. Smyth; Annette L. Worthy; Yuri S. Kivshar

doi:10.1103/PhysRevA.76.063803

Stabilization of vortex solitons in nonlocal nonlinear media

Antonmaria A. Minzoni^*
, Noel F. Smyth
, Annette L. Worthy
, Yuri S. Kivshar

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

51 Citations (Scopus)

Abstract

We study the evolution of vortex solitons in optical media with a nonlocal nonlinear response. We employ a modulation theory for the vortex parameters based on an averaged Lagrangian, and analyze the azimuthal evolution of both the vortex width and diffractive radiation. We describe analytically the physical mechanism for vortex stabilization due to the long-range nonlocal nonlinear response, the effect observed earlier in numerical simulations only.

Original language	English
Article number	063803
Journal	Physical Review A - Atomic, Molecular, and Optical Physics
Volume	76
Issue number	6
DOIs	https://doi.org/10.1103/PhysRevA.76.063803
Publication status	Published - 7 Dec 2007

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title = "Stabilization of vortex solitons in nonlocal nonlinear media",

abstract = "We study the evolution of vortex solitons in optical media with a nonlocal nonlinear response. We employ a modulation theory for the vortex parameters based on an averaged Lagrangian, and analyze the azimuthal evolution of both the vortex width and diffractive radiation. We describe analytically the physical mechanism for vortex stabilization due to the long-range nonlocal nonlinear response, the effect observed earlier in numerical simulations only.",

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AU - Minzoni, Antonmaria A.

AU - Smyth, Noel F.

AU - Worthy, Annette L.

AU - Kivshar, Yuri S.

PY - 2007/12/7

Y1 - 2007/12/7

N2 - We study the evolution of vortex solitons in optical media with a nonlocal nonlinear response. We employ a modulation theory for the vortex parameters based on an averaged Lagrangian, and analyze the azimuthal evolution of both the vortex width and diffractive radiation. We describe analytically the physical mechanism for vortex stabilization due to the long-range nonlocal nonlinear response, the effect observed earlier in numerical simulations only.

AB - We study the evolution of vortex solitons in optical media with a nonlocal nonlinear response. We employ a modulation theory for the vortex parameters based on an averaged Lagrangian, and analyze the azimuthal evolution of both the vortex width and diffractive radiation. We describe analytically the physical mechanism for vortex stabilization due to the long-range nonlocal nonlinear response, the effect observed earlier in numerical simulations only.

UR - https://www.scopus.com/pages/publications/36849016857

U2 - 10.1103/PhysRevA.76.063803

DO - 10.1103/PhysRevA.76.063803

M3 - Article

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JO - Physical Review A - Atomic, Molecular, and Optical Physics

JF - Physical Review A - Atomic, Molecular, and Optical Physics

IS - 6

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Stabilization of vortex solitons in nonlocal nonlinear media

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