Propagation properties of the Airy vortex beam in the linear potential

In this paper, the propagation properties of the Airy vortex beam (AVB) in the transverse linear potential are investigated analytically and numerically. The analytical expression describing the propagation of the AVB in the linear potential is derived. And it should be noted that the paths of the beam and the optical vortex (OV) are functions of the linear potential. Specifically, by setting a suitable linear potential, it becomes feasible to manipulate the beam and the OV along a predesigned trajectory without altering the peak intensity of the beam or compromising its inherent non-diffracting and self-healing properties. In addition, the off-axis position and the topological charge of the OV are found to have an effect on the position and the magnitude of the beam peak intensity in the linear potential.