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 | |
| Publication status | Published - Apr 30 2007 |
| Externally published | Yes |
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Keywords
- Optical angular momentum
- Optical vortex
- Phase dislocation
- Spatial soliton
ASJC Scopus subject areas
- Physics and Astronomy(all)
Cite this
Stable counter-rotating vortex pairs in saturable media. / Desyatnikov, Anton S.; Mihalache, Dumitru; Mazilu, Dumitru; Malomed, Boris A.; Lederer, Falk.
In: Physics Letters, Section A: General, Atomic and Solid State Physics, Vol. 364, No. 3-4, 30.04.2007, p. 231-234.Research output: Contribution to journal › Article
}
TY - JOUR
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
UR - http://www.scopus.com/inward/record.url?scp=33947156169&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=33947156169&partnerID=8YFLogxK
U2 - 10.1016/j.physleta.2006.11.090
DO - 10.1016/j.physleta.2006.11.090
M3 - Article
VL - 364
SP - 231
EP - 234
JO - Physics Letters, Section A: General, Atomic and Solid State Physics
JF - Physics Letters, Section A: General, Atomic and Solid State Physics
SN - 0375-9601
IS - 3-4
ER -