We show that localized gain supports the existence of dissipative vortex solitons in periodic Kerr media with strong two-photon absorption. Vortex solitons exist in both focusing and defocusing media, with their propagation constants emerging from semi-infinite or finite gaps in the lattice spectrum. Coincidence of the discrete rotational symmetries of the gain landscape and refractive index distribution is a necessary condition for exciting vortex solitons, which otherwise transform into stable dissipative multipoles.
© 2010 Optical Society of America
Original Manuscript: June 15, 2010
Revised Manuscript: July 20, 2010
Manuscript Accepted: August 11, 2010
Published: September 21, 2010
Yaroslav V. Kartashov, Vladimir V. Konotop, Victor A. Vysloukh, and Lluis Torner, "Vortex lattice solitons supported by localized gain," Opt. Lett. 35, 3177-3179 (2010)