Multiple-charged optical vortex solitons in bulk Kerr media

Abstract We investigate numerically Optical Vortex Solitons (OVSs) with different topological charges ( m ) and show that they are characterised with soliton constants equal to the product of their topological charge and the soliton constant of unit OVS. The propagation characteristics for | m | = 1,2,3 and 4 are investigated. We proposed an approximate analytical description of the field distribution, which was found to be adequate to describe multiple-charged solitons. The instability of these solitons is discussed and they were found to be unstable in the presence of a perturbation.