Propagation of three-dimensional optical vortice solitons in fractional Ginzburg-Landau model

Abstract

This study investigates a three-dimensional (3D) complex Ginzburg-Landau equation (CGLE) with fractional-order diffraction, the propagation dynamics of spatiotemporal Optical vortex solitons (OVSs) with different angular momentum. Numerical analysis was conducted on OVSs, focusing on the influence of the Lévy index (LI) and other system parameters on the formation of spatiotemporal OVSs regions with stable transmission. The study revealed that the LI and the angular momentum influence the stable propagation of OVSs with various dissipative parameters. We give the stable regions of the OVSs based on the relations of fractional-order diffraction to the angular momentum parameter and dissipative parameters. These results can provide a new method for generating spatiotemporal OVSs and have potential applications in all-optical devices.