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

Propagation dynamics of a 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 crucially depend on the distribution factor b and the topological charge m. With the aid of nonlocality, a stable Airy Gaussian beam and an 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.

Automated summary

The propagation dynamics of two-dimensional Airy Gaussian beams and Airy Gaussian vortex beams in local and nonlocal nonlinear media were investigated numerically. The self-healing and collapse of the beams depend on the distribution factor b and the topological charge m. By utilizing nonlocality, stable Airy Gaussian beams and Airy Gaussian vortex beams with larger amplitudes can be obtained, which always collapse in local nonlinear media. When the distribution factor b is large enough, the Airy Gaussian vortex beam will transform into quasi-vortex solitons in nonlocal nonlinear media.