Stable counter-rotating vortex pairs in saturable media

Anton S. Desyatnikov; Dumitru Mihalache; Dumitru Mazilu; Boris A. Malomed; Falk Lederer

doi:10.1016/j.physleta.2006.11.090

Stable counter-rotating vortex pairs in saturable media

Anton S. Desyatnikov, Dumitru Mihalache, Dumitru Mazilu, Boris A. Malomed, Falk Lederer

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

20 Citations (Scopus)

Abstract

We resolve a controversial issue of the stability of composite vortex solitons in self-focusing saturable nonlinear media. Stable vortex solitons with hidden angular momentum, i.e., composed of counter-rotating beams with topological charges +1 and -1, are found, and their linear-stability region is identified. In contrast, the solitons with explicit vorticity are always unstable against splitting. The predicted linear stability of the hidden-vorticity solitons is achieved in the strong-saturation regime, when the soliton's total power exceeds a certain threshold. The dynamical stability is verified in direct simulations of nonlinear model.

Original language	English
Pages (from-to)	231-234
Number of pages	4
Journal	Physics Letters, Section A: General, Atomic and Solid State Physics
Volume	364
Issue number	3-4
DOIs	https://doi.org/10.1016/j.physleta.2006.11.090
Publication status	Published - Apr 30 2007
Externally published	Yes

Keywords

Optical angular momentum
Optical vortex
Phase dislocation
Spatial soliton

ASJC Scopus subject areas

Physics and Astronomy(all)

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abstract = "We resolve a controversial issue of the stability of composite vortex solitons in self-focusing saturable nonlinear media. Stable vortex solitons with hidden angular momentum, i.e., composed of counter-rotating beams with topological charges +1 and -1, are found, and their linear-stability region is identified. In contrast, the solitons with explicit vorticity are always unstable against splitting. The predicted linear stability of the hidden-vorticity solitons is achieved in the strong-saturation regime, when the soliton's total power exceeds a certain threshold. The dynamical stability is verified in direct simulations of nonlinear model.",

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T1 - Stable counter-rotating vortex pairs in saturable media

AU - Desyatnikov, Anton S.

AU - Mihalache, Dumitru

AU - Mazilu, Dumitru

AU - Malomed, Boris A.

AU - Lederer, Falk

PY - 2007/4/30

Y1 - 2007/4/30

N2 - We resolve a controversial issue of the stability of composite vortex solitons in self-focusing saturable nonlinear media. Stable vortex solitons with hidden angular momentum, i.e., composed of counter-rotating beams with topological charges +1 and -1, are found, and their linear-stability region is identified. In contrast, the solitons with explicit vorticity are always unstable against splitting. The predicted linear stability of the hidden-vorticity solitons is achieved in the strong-saturation regime, when the soliton's total power exceeds a certain threshold. The dynamical stability is verified in direct simulations of nonlinear model.

AB - We resolve a controversial issue of the stability of composite vortex solitons in self-focusing saturable nonlinear media. Stable vortex solitons with hidden angular momentum, i.e., composed of counter-rotating beams with topological charges +1 and -1, are found, and their linear-stability region is identified. In contrast, the solitons with explicit vorticity are always unstable against splitting. The predicted linear stability of the hidden-vorticity solitons is achieved in the strong-saturation regime, when the soliton's total power exceeds a certain threshold. The dynamical stability is verified in direct simulations of nonlinear model.

KW - Optical angular momentum

KW - Optical vortex

KW - Phase dislocation

KW - Spatial soliton

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