The Propagation Of Airy-Hermite-Gaussian Beam In Nonlinear Medium

In recent years,with the advantages of large communication capacity,long transmission distance and strong anti-interference ability,optical fiber communication plays an important role in the field of modern communication.Airy beam has the characteristics of non-diffraction,self-acceleration and self-healing,which has attracted the attention of scholars at home and abroad.It is found that when the Airy beam is transmitted in the medium,the optical solitons can be generated by adjusting the parameters of the Airy beam and the medium,and the optical soliton can be used to realize the super-long distance and super-large capacity optical fiber communication.At the same time,the beams derived from Airy beams,such as Airy-Hermite-Gaussian beams,can not only keep the original characteristics of Airy beams,but also have some new characteristics,which have potential applications.In this paper,the propagation characteristics of finite energy Airy-Hermite-Gaussian beams in Kerr medium and a medium with a potential well are studied,and the interaction of two Airy-Hermite-Gaussian beams in media is discussed.The main research results are as follows:Firstly,the propagation characteristics and interaction of finite energy Airy-Hermite-Gaussian beams in Kerr medium are studied.It is found that when Airy-Hermite-Gaussian beams propagate in Kerr medium,when the diffraction effect and nonlinear effect of the beams cancel each other,there will be solitons,which can be achieved by selecting the appropriate Kerr nonlinear intensity and the initial amplitude of the beam.when two Airy-Hermite-Gaussian beams with finite energy interact in the Kerr medium,the number and direction of solitons can be controlled by adjusting the initial interval and phase of the two beams.When the initial spacing of two beams in the same phase is small,the beam eventually evolves into two solitons.When the initial spacing of two beams in the same phase is large or the two beams are opposite to each other,the beam evolves into four solitons.This provides a theoretical basis for the control of solitons in Kerr medium.Secondly,the propagation characteristics and interaction of finite energy Airy-Hermite-Gaussian beams in a medium with a potential well are studied.It is found that when a beam propagates in a medium with a potential well,its field structure will rotate.With the increase of the intensity of the medium with a potential well,the rotation distance of the light field is shortened,and the relationship between them is linear.At the same time,the order of the Hermite polynomials of the incident beam also affects the field structure of the beam.The number of the main lobes of the initial incident beam increases with the order of the Hermite polynomials.In addition,the interaction of two finite energy Airy-Hermite-Gaussian beams in a medium with a potential well is also investigated,and the number of light spots will change.When the initial interval of two beams is small,two light spots are formed.When the initial interval of two beams is large,four light spots are formed.At the same time,the interaction between the two beams further proves that the optical field structure of the beam will rotate in a medium with a potential well.This provides a theoretical basis for the design of optical switch.