Airy beams and accelerating waves: an overview of recent advances

NK Efremidis, Z Chen, M Segev, DN Christodoulides - Optica, 2019 - opg.optica.org
Over the last dozen years, the area of accelerating waves has made considerable advances
not only in terms of fundamentals and experimental demonstrations, but also in connection …

Propagation dynamics of abruptly autofocusing circular Airy Gaussian vortex beams in the fractional Schrödinger equation

S He, BA Malomed, D Mihalache, X Peng, X Yu… - Chaos, Solitons & …, 2021 - Elsevier
Abstract We introduce axisymmetric Airy-Gaussian vortex beams in a model of an optical
system based on the (2+ 1)-dimensional fractional Schrödinger equation (FSE) …

Periodic inversion and phase transition of finite energy Airy beams in a medium with parabolic potential

Y Zhang, MR Belić, L Zhang, W Zhong, D Zhu… - Optics express, 2015 - opg.optica.org
We study periodic inversion and phase transition of normal, displaced, and chirped finite
energy Airy beams propagating in a parabolic potential. This propagation leads to an …

Guided self-accelerating Airy beams—a mini-review

Y Zhang, H Zhong, MR Belić, Y Zhang - Applied Sciences, 2017 - mdpi.com
Owing to their nondiffracting, self-accelerating, and self-healing properties, Airy beams of
different nature have become a subject of immense interest in the past decade. Their …

[HTML][HTML] Propagation dynamics of radially polarized symmetric Airy beams in the fractional Schrödinger equation

S He, BA Malomed, D Mihalache, X Peng, Y He… - Physics Letters A, 2021 - Elsevier
We analyze the propagation dynamics of radially polarized symmetric Airy beams (R-SABs)
in a (2+ 1)-dimensional optical system with fractional diffraction, modeled by the fractional …

Effect of initial frequency chirp on Airy pulse propagation in an optical fiber

L Zhang, K Liu, H Zhong, J Zhang, Y Li, D Fan - Optics Express, 2015 - opg.optica.org
We study both analytically and numerically the propagation dynamics of an initially chirped
Airy pulse in an optical fiber. It is found that the linear propagation of an initially chirped Airy …

Interactions of Airy beams in nonlinear media with fourth-order diffraction

W Zhao, L Ge, M Shen - Optics Express, 2023 - opg.optica.org
We investigate to the best of our knowledge the first time the interactions of in-phase and out-
of-phase Airy beams in Kerr, saturable and nonlocal nonlinear media with fourth-order …

Anharmonic propagation of two-dimensional beams carrying orbital angular momentum in a harmonic potential

Y Zhang, X Liu, MR Belić, W Zhong, F Wen, Y Zhang - Optics Letters, 2015 - opg.optica.org
We analytically and numerically investigate an anharmonic propagation of two-dimensional
beams in a harmonic potential. We pick noncentrosymmetric beams of common interest that …

Controllable circular Airy beams via dynamic linear potential

H Zhong, Y Zhang, MR Belić, C Li, F Wen, Z Zhang… - Optics express, 2016 - opg.optica.org
We investigate controllable spatial modulation of circular autofocusing Airy beams, under
action of different dynamic linear potentials, both theoretically and numerically. We introduce …

Supercontinuum generation of Airy pulses in a silicon-on-insulator optical waveguide including third-harmonic generation and negative-frequency Kerr terms

SK Boukar, L Mandeng Mandeng, C Heuteu… - The European Physical …, 2024 - Springer
We report in this work the numerical study of the supercontinuum phenomenon raised from
Airy pulses within a silicon-on-insulator waveguide including loss effects, third-harmonic …