Collapse arrest in a two-dimensional Airy Gaussian beam and Airy Gaussian vortex beam in nonlocal nonlinear media

Abstract

Propagation dynamics of two-dimensional Airy Gaussian beam and Airy Gaussian vortex beam are investigated numerically in local and nonlocal nonlinear media. The self-healing and collapse of the beam depend crucially on the distribution factor $b$ and the topological charge $m$. With the help of nonlocality, stable Airy Gaussian beam and Airy Gaussian vortex beam with larger amplitude can be obtained, which always collapse in local nonlinear media. When the distribution factor $b$ is large enough, the Airy Gaussian vortex beam will transfer into quasi-vortex solitons in nonlocal nonlinear media.

Adiabatic evolution of optical beams of arbitrary shapes in nonlocal nonlinear media

“…Under the effect of nonlocality, a single Airy soliton can propagate along a parabolic trajectory. [15] With the aid of nonlocality, an Airy Gaussian vortex beam with larger amplitude can be obtained, [16] which always collapses in local nonlinear media.…”