Space–time dispersive symmetric Pearcey-Pearcey wave packets in the fractional Schrödinger equation

Abstract

This study presents an investigation into the propagation characteristics of a symmetric Pearcey-Pearcey space–time (SPPST) wave packet in a dispersive medium for the first time, to the best of our knowledge, in an optical system based on the fractional Schrödinger equation. Subsequently, the influence of the dispersion (normal and abnormal dispersion) on the SPPST packet is analyzed comprehensively. By manipulating the parameters of the SPPST wave packet including the parameters of the symmetric Pearcey beam, the value of the chirp, and the dispersion in the medium, it is possible to control its shape, orientation, and propagation dynamics. Simultaneously, the study delves into the effects of the combination of the dispersion and the second-order chirp on the evolution of SPPST wave packets and the associated intensity with these wave packets. Studying self-focusing wave packets with spatiotemporal symmetry provides new theoretical support for the development of quantum optics and optical communication.