Paraxial propagation of the first-order chirped Airy vortex beams propagating in a quadratic index media

Propagation behaviors of two-dimensional chirped finite-energy Pearcey beams in free space

“…It is well known that Airy beams possess the revolutionary advantages of transverse acceleration, self-healing and non-diffraction behavior, when compared with the conventional Gaussian beam. Up to now, both the generation and self-accelerating shift of Airy beams have been widely investigated in different physical systems such as Kerr media [23,24], gradient-index media [25], graphene-substrate surfaces * Author to whom any correspondence should be addressed. and the graphene platform [26,27].…”

“…Meanwhile, a variety of approaches including optical vortices [28][29][30][31], apodization masks [32] or chirp parameters [33] have been proposed to engineer the optical propagation dynamics or modulate the symmetry of spin splitting. Recently, such optical catastrophe fields have further excited attention in numerous unique potential applications such as the generation of a curved plasma channel [24], the excitation of an optical soliton [25] and small particle control [34]. Up until now, the different dynamics of Airy beams have been fully understood, ranging from the spatial case to the temporal case and from the linear regime to the nonlinear regime .…”