dorsal/arxiv
View SchemaStable multiple-charged localized optical vortices in cubic-quintic nonlinear media
| Authors | T. A. Davydova, A. I. Yakimenko |
|---|---|
| Categories | |
| ArXiv ID | physics/0308079 |
| URL | https://arxiv.org/abs/physics/0308079 |
| DOI | 10.1088/1464-4258/6/5/010 |
Abstract
The stability of two-dimensional bright vortex solitons in a media with focusing cubic and defocusing quintic nonlinearities is investigated analytically and numerically. It is proved that above some critical beam powers not only one- and two-charged but also multiple-charged stable vortex solitons do exist. A vortex soliton occurs robust with respect to symmetry-breaking modulational instability in the self-defocusing regime provided that its radial profile becomes flattened, so that a self-trapped wave beam gets a pronounced surface. It is demonstrated that the dynamics of a slightly perturbed stable vortex soliton resembles an oscillation of a liquid stream having a surface tension. Using the idea of sustaining effective surface tension for spatial vortex soliton in a media with competing nonlinearities the explanation of a suppression of the modulational instability is proposed.
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"date_created": "2026-03-02T18:00:46.163000Z",
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"abstract": "The stability of two-dimensional bright vortex solitons in a media with\nfocusing cubic and defocusing quintic nonlinearities is investigated\nanalytically and numerically. It is proved that above some critical beam powers\nnot only one- and two-charged but also multiple-charged stable vortex solitons\ndo exist. A vortex soliton occurs robust with respect to symmetry-breaking\nmodulational instability in the self-defocusing regime provided that its radial\nprofile becomes flattened, so that a self-trapped wave beam gets a pronounced\nsurface. It is demonstrated that the dynamics of a slightly perturbed stable\nvortex soliton resembles an oscillation of a liquid stream having a surface\ntension. Using the idea of sustaining effective surface tension for spatial\nvortex soliton in a media with competing nonlinearities the explanation of a\nsuppression of the modulational instability is proposed.",
"arxiv_id": "physics/0308079",
"authors": [
"T. A. Davydova",
"A. I. Yakimenko"
],
"categories": [
"physics.optics"
],
"doi": "10.1088/1464-4258/6/5/010",
"title": "Stable multiple-charged localized optical vortices in cubic-quintic nonlinear media",
"url": "https://arxiv.org/abs/physics/0308079"
},
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