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.
© 2013 Optical Society of America
Original Manuscript: May 6, 2013
Manuscript Accepted: May 20, 2013
Published: June 18, 2013
Changming Huang, Fangwei Ye, Boris A. Malomed, Yaroslav V. Kartashov, and Xianfeng Chen, "Solitary vortices supported by localized parametric gain," Opt. Lett. 38, 2177-2180 (2013)