Research On The Energy Transfer Between The Lobes Of The Finite Energy Airy Pulse

In recent years,Airy pulse due to the nature of no-diffraction,the lateral acceleration and self-healing characteristics,become the focus of research in recent years and has attracted widespread attention.People to the study of it involves the theory and experiment,the linear and nonlinear media,such as basic research and potential application.Self-healing properties of Airy pulse transmission in the complex medium with good transmission performance,self-healing process is the redistribution of pulse energy,and has a close relationship with the lobes of the pulse in medium energy flow distribution.Especially in the nonlinear medium,the dispersion and nonlinear effects work together will result in changes of energy transfer.In order to better understand the mechanics of Airy pulse and the rule of pulse energy transfer in the process of nonlinear propagation rule.This article through to gaussian fitting method for Airy pulse main lobe and secondary lobe,Airy pulses in the linear and nonlinear medium was studied,the change of the energy transfer in the process of transmission.Firstly,Analyzed the Airy pulse transmission evolution equation in linear medium and the rule of the evolution of energy transfer.We found that most of the pulse energy transfer to the main lobe with the increase of truncated coefficient,the pulses oscillation structure gradually disappear.In the process of linear transmission,with increasing truncation coefficient,the truncation coefficient accelerates the energy transfer of the main lobe to the secondary lobe,the part of secondary lobe energy will continue to spread to the back of the side lobes.Secondly,we theoretically and numerically investigate the rule of Airy pulse energy transfer in the nonlinear medium by using the nonlinear Schr?dinger equation.We found that the group velocity dispersion plays a main role in the case of low power,compared with the linear condition,can accelerate the main lobe energy flow to the secondary lobe,the larger the initial pulse power,the greater the energy transfer.Under the condition of high pulse power,the energy of main lobe transfers to the secondary lobe faster with increasing truncation coefficient,and most of the energy of the main lobe transfers to temporal soliton.The energy of the soliton which is related to initial power and truncation coefficient.Lastly,we based on including high-order dispersion and high-order nonlinear Schr?dinger equation,Airy pulses are analyzed respectively in the high order dispersion and high order nonlinear effect under the action of energy transfer.The effect of third-order dispersion mainly affect the pulse energy transfer of main lobe,the positive third-order dispersion parameters,can accelerate the main energy transfer to the secondary lobe,the negative third-order dispersion parameters,can slow down the main lobe energy transfer.Raman effects can break the balance of the group velocity dispersion and self-phase modulation,inhibit the transfer of energy from the main lobe to the secondary lobe,and increase the Raman effects,most energy can transfer to the main lobe,The position of the main lobe bias pulse trailing edge.Since the self-steepening effect is contrary to the Raman effect,the influence of Raman effects caused by the frequency shift.Reducing the degree of main lobe deviation pulse along,at the same time be able to transfer part of the pulse energy to the main lobe.