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

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 resonance conditions in a coupled system of multicomponent 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 solitons with the same parameters, the ones in the self-focusing material possess larger optical intensity than the ones in the self-defocusing material. The stability of resonance solitons is examined by direct numerical 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 propagation over prolonged distances.