High Order Nonlinear Effect On Transmission Characteristics Of Airy Pulse

Airy pulse,with its auto-acceleration and self-healing characterist ics,is new type of strange non-diffracting beam.It has attracted peo ple's great interests since the limited energy Airy beam can be obse rved in the form of experiment.Its own different characteristics has been studied under different conditions and some of the physical m echanism of interacting between Airy beam and material are also re searched.At present,Airy beam can be used for curve to silk,The cu rve of the ion acceleration and forming curve surface plasma wave and so on,so,Airy beam has great research value and application val ue.By ignoring fiber loss situation,the propagation characteristics of Airy pulse are simulated and analysised in the single-mode fiber.Si mulations show that Airy pulse evolutes and converts into Soliton a nd the direction of propagation changes due to Raman gain and Sel f-steepening.In addition,The results show that cross phase modulati on(XPM)builds up when Soliton and Airy pulse begin to overlap,which effects the properties of the two pulses.In this paper,it is co ncluded that the influence mechanism on Airy pulse of Raman gai n and self-steeping effect and on the influence of soliton interacts with Airy pulse,All these researches are to provide necessary theoret ical reference for realizing soliton and Airy communication.In the preface,we introduce the origin of Airy pulse and the characteristics of Airy pulse and research station of Airy pulse in recent years.Two main parts are contained in the main body:the first section is the theoretical model,deriving the nonlinear SchrOdinger equation(NLSE)considering the Raman gain and self-steeping effect.And then solve the nonlinear SchrOdinger equation(NLSE)by using the method of slip-step Fourier,obtaining differential operator and nonlinear operator and the theory is set up.The second section is divided three models:(one)Influence of Raman gain and Self-steepening effect on the propagation characteristic of Airy pulse;expounding By ignoring fiber loss situation,the propagation characteristics of Airy pulse are simulated and analysised in the single-mode fiber.(two)The research on the interaction of airy pulse and soliton in the anomalous dispersion region;expounding Based on the split step Fourier method,the interaction between Soliton and Airy pulse is studied in the anomalous dispersion regime.And after that the strength,time-domain and time-shift are simulated by the software of MATLAB,respectively.(three)Interaction of Airy pulse and dark soliton in the presence of dispersion.The last section is the conclusion,summarizing the The above three parts of the main body.