Abstract
Dynamics and collapse of two-dimensional Airy beams are investigated numerically in nonlocal nonlinear media with split step Fourier transform method. In particular, the stability and self-healing properties of the Airy beams depend crucially on the location and topological charge of the vortex when the beams carry angular momentum. The propagation of abruptly autofocusing Airy beams is also demonstrated in local and nonlocal media. In strongly self-focusing regime, with the help of nonlocality, stationary propagation of two-dimensional Airy beams can be obtained, which always collapse in local nonlinear media.
Highlights
Self-accelerating Airy beams[1, 2] have been a hot topic[3,4,5] during the past decade, which shown that Airy beams have potential applications in different physical settings, such as particle clearing[6], surface plasmon[7], and generation of electron Airy beam[8], etc
When a vortex Airy beam propagating in a nonlinear media, the locations of collapse can be controlled by the initial power, vortex order, and modulation parameters[26]
In strongly self-focusing regime, with the help of nonlocality, we obtain the stationary propagation of two-dimensional Airy beams, which always collapse in local nonlinear media
Summary
Self-accelerating Airy beams[1, 2] have been a hot topic[3,4,5] during the past decade, which shown that Airy beams have potential applications in different physical settings, such as particle clearing[6], surface plasmon[7], and generation of electron Airy beam[8], etc. In strongly self-focusing regime, with the help of nonlocality, we obtain the stationary propagation of two-dimensional Airy beams, which always collapse in local nonlinear media.
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