Multicharged vortex induced in fractional Schrodinger equation with competing nonlocal nonlinearities

This study analytically and numerically investigates the evolution of an optical vortex beam carrying topological charges (TCs) in a fractional Schrodinger equation with competing nonlocal nonlinearities. Results show that the number of beads, TCs, and size of the incident beam significantly affect vortex production and evolution. Common rules formulated based on various incident beams determine the number of induced vortices and corresponding rotation direction. The beams gradually expand to induce vortices in oppositely charged pairs during propagation, thus conserving the vortex's net TC. The demonstrated optical vortex is significant for quantum information communication and optical imaging and processing applications.