Resonance solitons produced by azimuthal modulation in self-focusing and self-defocusing materials

Abstract

We demonstrate azimuthally modulated resonance scalar and vector solitons in self-focusing and self-defocusing materials. They are constructed by selecting appropriately self-consistency and reso- nance conditions in a coupled system of multicompo- nent nonlinear Schrodinger equations. In the case with zero modulation depth, it was found that the larger the topological charge, the smaller the intensity of the soliton in the self-focusing material, while in the self- defocusing material the opposite holds. For the soli- tons with the same parameters, the ones in the self- focusing material possess larger optical intensity than the ones in the self-defocusing material. The stabil- ity of resonance solitons is examined by direct nu- merical simulation, which demonstrated that a new class of stable scalar fundamental soliton states with m = 0 and low-order vector vortex soliton states with m = 1 can be supported by self-focusing and self- defocusing materials. Higher-order solitons are found unstable, however, displaying quasi-stable propaga- tion over prolonged distances.