Propagation dynamics of symmetric Pearcey beam in fractional media with the linear potential

Abstract

We conduct a numerical analysis of how symmetric Pearcey beam (SPB) propagates in fractional media with the linear potential. The results reveal that the transmission distance of the beam keeping the soliton shape can be adjusted by adjusting the Lévy index α. Beam's transmission trajectory can be controlled by adjusting the constant linear potential γ, the cosine linear potential b, and the linear chirp A. By adjusting the off-axis distance and topological charge of the optical vortex, we can enhance the beam's maximum intensity and control its peak position. And the energy flow of SPB can be characterized by Poynting vector. Additionally, by adjusting the truncation coefficient σ, we can control the number of side lobes and ensure the beam propagates with soliton characteristics in the x = y plane. Our work could be applied in various fields such as optical communication, laser energy focusing, optical trapping, and so on.