Tunable propagation characteristics of hybird Airyprime-Gaussian-vortex spatiotemporal wave packets in dispersive media

This paper systematically investigates the propagation characteristics of the circular Airyprime-Gaussian-vortex spatiotemporal (ApGVST) wave packet in a dispersive medium. We reveal the influence of beam parameters and dispersion parameters on the propagation process of the wave packets. We find that by adjusting the parameters of the ApGVST wave packets, we can effectively control the morphology, scale, and intensity distribution of the wave packets. In addition, we also investigate the influence of dispersion parameters on the evolution behavior of the ApGVST wave packets in the dispersive media, including wave packet extension, splitting, and energy distribution. This study not only establishes a theoretical model for the transmission of the ApGVST wave packets in the dispersive media but also provides a theoretical basis for the application of self-focusing vortex spacetime wave packets in optical systems.