title: Stable localized vortex solitons.
abstract: We demonstrate that parametric interaction of a fundamental beam with its second harmonic in bulk media, in the presence of self-defocusing third-order nonlinearity, gives rise to the first ever examples of completely stable localized ring-shaped solitons with intrinsic vorticity n=1 and n=2. The stability is demonstrated both in direct simulations and by computing eigenvalues of the corresponding linearized equations. A potential application of the (2+1)-dimensional ring solitons in optics is a possibility to design a reconfigurable multichannel system guiding signal beams.
authors: School of Mathematics and Statistics, Australian Defence Force Academy, Canberra, ACT 2600, Australia.
authors: I
authors: I
authors: Towers
authors: A V
authors: AV
authors: Buryak
authors: R A
authors: RA
authors: Sammut
authors: B A
authors: BA
authors: Malomed