Influence Of Potential Wells Or Potential Barriers On Airy Pulse Transmission Characteristics

Airy pulse has been widely studied in the field of optics since it was proposed because of its characteristics of transverse self-acceleration,quasi-diffractive propagation and self-healing.The finite energy Airy pulse(FEAP)can be obtained by modulating the ideal Airy pulse with a time exponential function.The FEAP can maintain its features in media only with second-order group velocity dispersion,and follow the parabolic trajectory over a certain distance.However,the trajectory of Airy pulse can be changed by third-order dispersion,self-steepening,and Raman scattering.In addition,recent research results show that the optical potential generated by the nonlinear interaction between the weak signal and the strong pumping laser can also be used to manipulate the trajectory of Airy pulse,which is closely related to the trajectory and spectral migration of Airy pulse.In this paper,the Schr?dinger equation containing potential wells or potential barriers are used as the model to study the influence of potential wells or potential barriers on transmission characteristics of Airy pulse.The main research achievements and innovations are as follows:The effect of linear potential on the dynamics of FEAP is studied under the nonlinear Schr?dinger equation with third-order dispersion,self-steepening,and Raman scattering.Firstly,the influence of linear potential on the transmission characteristics of FEAP is analyzed analytically in the linear case.The results show that the linear potential leads to a monotonous spectral,and the frequency shift of the pulse is related to the linear potential.Then,the dynamics of FEAP in the presence of higher order effects are studied in detail.The results show that Raman scattering cause the pulse spectrum to red-shift,while third-order dispersion and self-steepening suppress the Raman induced frequency shift(RIFS).The linear potential has no effect on the shape of the pulse,but has a direct effect on the spectrum and leads to the frequency shift.The frequency shift can be manipulated effectively by adjusting the strength of the linear potential.The effect of symmetric Gaussian potential on transmission characteristics of Airy pulses and their interaction are studied based on the Schr?dinger equation model with symmetric Gaussian potential.Firstly,the influence of Gaussian potential on the trajectory of FEAP is studied.The results show that the trajectory can be adjusted by setting different values of Gaussian potential.Secondly,the effect of symmetric Gaussian potential on the interaction of Airy pulses is studied.The results show that when the symmetric Gaussian potential acts on the transmission evolution of the interaction of Airy pulses,the pulse carry out periodic transmission.With the increase of the symmetric Gaussian potential,the interaction of pulse becomes more obvious,the pulse propagation period decreases,and the pulse diffraction weakens.