Propagation Properties Of Airy-Gaussian Beam In Nonlinear Media

With the advent of optical fiber communication,great changes have taken place in the field of communication.Optical communication has the advantages of low loss and strong anti-interference,so it attracts more and more attention.As a kind of diffraction-free beam,Airy beam exhibits self-acceleration and self-healing.From the practical point of view,Airy beams have found useful applications,ranging from light bullets and electron acceleration to plasma waveguide.An Airy-Gaussian beam can be seen as a more realistic Airy beam passing through Gaussian apertures.And an Airy-Gaussian beam can be transformed into Airy beam or Gaussian beam under certain conditions.So it has important applications in optical switch and optical logic gate.In recent years,the research of Airy-Gaussian beam mainly focuses on the propagation of the beam in saturable media,Kerr medium and other media.But these studies are not enough to reflect the propagation characteristics of Airy-Gaussian beam in nonlinear media.In order to further present the unique characteristics of Airy-Gaussian beams,in this paper,the propagation and interaction of Airy-Gaussian beams in photorefractive media are studied and the interaction of chirped Airy-Gaussian beams in the medium with a parabolic potential is also discussed.The main research of this paper is as follows.First,we mainly aim at the propagation of Airy-Gaussian beams in photorefractive media.It is found that a specific set of parameters can result in soliton shedding from Airy-Gaussian beams.The bigger the nonlinear factor is,the smaller the oscillation period of the soliton.When the initial incident power of the Airy-Gaussian beam is within a certain range,the stable soliton can form.In addition,we also check the stability of the beam by perturbing the initial Airy-Gaussian beam with 2% random noise perturbations.Second,starting from the linear parabolic(Schr?dinger-like)equation,we investigate the interaction between two chirped Airy-Gaussian beams in a medium with a parabolic potential.We find that a parabolic potential supports the bound states of two chirped Airy-Gaussian beams.And the potential well has negative effect on the width of the bound states.we also study the effect of chirps and found that large enough chirps will weaken the energy of bound states.Moreover,initial parameters of the beams,initial amplitudes,interval,distribution factor included,are taken into our consideration as well and found that these parameters have obvious influence on the energy deflection and the width of the bound states.Third,starting from the nonlinear Schrodinger equation,the interaction between two Airy-Gaussian beams in photorefractive media is studied.It is found that nonlinear effect can provide a self-focus effect and support the periodic breathing solitons or breathing soliton pairs in the interaction of two Airy-Gaussian beams.The bigger the nonlinear factor is,the smaller the breathing period and the width of the solitons,and the the smaller the angle between the soliton pairs.Asymmetric breathing soliton pairs can be obtained via choosing unequal amplitudes of the two Airy-Gaussian beams.Furthermore,the initial parameters of the beams,such as initial interval,phase,launch angles,are discussed as well.Finally,stability of the interactions with the initial noise perturbations is studied.