Study On The Propagation And Control Characteristics Of Finite-energy Airy Beam In Kerr Media

In 1979,Berry and Balazs proposed in the field of quantum mechanics that the Schrodinger equation without external field has an Airy wave package solution that does not change with time,and indicates that this asymmetric self-accelerating beam has infinite energy.At first,this work did not attract enough attention.Until 2007,Siviloglou of the University of Florida School of Optoelectronic Engineering demonstrated for the first time theoretically and experimentally the formation of Airy beams.A finite energy Airy beam was obtained by introducing the delay coefficient.Airy beams have attracted a lot of attention because of their characteristics such as self-acceleration,no diffraction,and self-healing.These singular characteristics have such broad application prospects in the fields of electron acceleration,surface plasmon,particle manipulation,atmospheric communication,laser weapons,laser weapons and so on.After that,the research on Airy beams burst out like mushrooms.In this paper,the Step-Fourier numerical method is used to research the transmission and manipulation characteristics of finite energy Airy beams in Kerr Nonlinear media.The main contents are as follows: 1.The interaction between Airy beams and soliton in nonlocal nonlinear kerr medium based on nonlinear Schrodinger equation is discussed.Parameters such as electric field amplitude,nonlocal nonlinear intensity,phase shift,and beam intervals were analyzed to obtain the characteristics of the beams.The effect of nonlinear intensity in nonlocal nonlinear Kerr media can cause the main lobe of Airy beams change differently.This has a great inspiration for beams splitting.When the Airy beams and the soliton beam interact at a certain intensity,the gravity of the Airy beams in the interaction is increased,and the evolution of the Airy beams can be observed.Still compare the difference between in-phase and out-of-phase of the beams interactions.Beam intervals affects the position of interactions between beams and thus behaves differently.2.Using spatial phase modulation technology,the transmission behavior of sinusoidal phase modulated Airy beams in Kerr medium is studied,and the effects of different light field amplitudes,phase frequencies,phase shifts and delay coefficients on beam transmission are discussed in detail.It can be known from the results that different electric field intensities will cause the main lobe of the Airy beams to deflect and propagate.When the intensity reaches a certain level,solitons or soliton-pairs will produce.Different degrees of phase frequency also affect the transmission of the affected Airy beams.It has been found that for increasing phase frequency values,the transmission of the Airy beams becomes gradually more complicated.Only by selecting the appropriate phase frequency can the transmission characteristics of the Airy beams be well controlled and utilized.In addition,different phase shifts also affect the deflection direction of the Airy beams.Finally,the influence of different delay coefficients on the Airy beams was discussed,and it was found that as the delay coefficient increases,the period of the soliton or soliton-pairs formed will be increased accordingly.