English

Solitary vortices supported by localized parametric gain

Pattern Formation and Solitons 2016-04-13 v1 Optics

Abstract

We demonstrate the existence and stability of bright vortex solitons sustained by a ring-shaped parametric gain, for both focusing and defocusing Kerr nonlinearities in lossy optical media. With the defocusing nonlinearity, the vortices are stable at all values of the detuning parameter, while under the focusing nonlinearity their stability region is limited to some positive values of the detuning. Unstable vortices in the focusing medium transform into stable rotating azimuthons.

Keywords

Cite

@article{arxiv.1305.5167,
  title  = {Solitary vortices supported by localized parametric gain},
  author = {Changming Huang and Fangwei Ye and Boris A. Malomed and Yaroslav V. Kartashov and Xianfeng Chen},
  journal= {arXiv preprint arXiv:1305.5167},
  year   = {2016}
}

Comments

5 pages, 3 figures, to appear in Optics Letters

R2 v1 2026-06-22T00:20:34.467Z