Transmission Characteristics Of The Pearcey-Gaussian Beam In The Gaussian Potential

From wired communication to wireless communication,and now the widely mentioned optical communication,which is the backbone of modern communication.Optical communication is gradually occupying an increasingly important position because of its advantages such as large transmission capacity and high interference immunity.In nonlinear optics,the nonlinear Schrodinger equation model is usually accounted for the transmission characteristics of beams.The fractional-order Schrodinger equation is a generalization of the standard Schrodinger equation,due to the rich dynamical behavior of the beam in the fractional-order Schrodinger equation system as well as its unique properties.Therefore,it continues to attract much attention from scholars due to its rising status in the field of optics.In the paper,the transmission dynamics of the Pearcey-Gaussian beam under fractional-order diffraction effect is studied as follows.First,the development of nonlinear optics and the fractional-order Schrodinger equation is outlined and several special beams are introduced.The fundamental form of Schrodinger equation is discussed in terms of its origin-Maxwell’s set of equations.In addition,the specific principles of the split-step Fourier method and the transmission of several media by various beams are introduced.Second,based on the fractional Schrodinger equation,the dynamics of the PearceyGaussian beam in free space and under the Gaussian potential is investigated.In free space,the degree of beam splitting and bending is affected by Levy index.Under the action of Gaussian potential,the transmission process of the beam changes periodically and the period can be changed by adjusting the barrier parameters and the incident beam parameters,such as the barrier height,width and transverse wave number.In addition,the transmission and reflection of the beam can be controlled by changing the potential barrier parameters.The interaction of Pearcey-Gaussian beams in the Gaussian potential is further analyzed and some valuable phenomena are obtained.Thirdly,the dynamics of the Pearcey-Gaussian beam with side lobes is studied using the fractional Schrodinger equation as a model.In the absence of potential,the PearceyGaussian beam evolves into the straight line with many side lobes.When the Gaussian potential is considered,the diffraction effect of the beam will be enhanced with the increase of Levy index and even chaos appears.By adjusting the potential and beam parameters,the deflection of the beam can be changed.In addition,the effect of chirp on the dynamics of the Pearcey-Gaussian beam in free space and Gaussian potential is also investigated.Finally,the interaction of two Pearcey-Gaussian beams with side flaps is numerically simulated,and the effects of spacing,initial phase,distribution factor and Levy index on the beam transmission are explored separately,and the beam transmission can be controlled by changing the relevant parameters.