Propagation Evolution Of Pearcey Gaussian Beam In The Linear Potential

Since their introduction,diffractive beams have had a wide range of applications in science and technology,such as the determination of the structure of crystals using diffraction techniques,spectral analysis,and diffraction imaging for structural analysis.The Pearcey beam,as a special diffraction beam,is also of potential research value.Pearcey beams also have properties such as self-focusing and self-healing,which enable stable transmission over long distances.Compared with conventional beams,Pearcey beams have a deeper depth of focus and a smaller focused spot area.These unique properties make Pearcey beams potentially valuable for applications in fiber optic communications,particle scavenging,and other fields.The Pearcey Gaussian beam is obtained by modulating the Pearcey beam with a Gaussian diaphragm,which retains the Pearcey beam transmission characteristics.In this paper,the transmission dynamics of the Pearcey Gaussian beam with the sidelobe and without sidelobe in the linear potential are investigated separately using the fractional Schr?dinger equation as the theoretical model,as well as the interaction between the Pearcey Gaussian beams under the action of the linear potential is discussed.The main research of this paper is as follows:(1)The transmission evolution of the Pearcey Gaussian beam without sidelobe in the linear potential is studied.The transmission dynamics of Pearcey Gaussian beam without sidelobe under the influence of potential and linear potential are discussed respectively.The effects of the Lévy index,distribution factor,transverse wave velocity,and chirp parameter on the transmission of the Pearcey Gaussian beam are also considered under the linear potential.(2)The transmission dynamics of the Pearcey Gaussian beam without sidelobe under the influence of linear potential are discussed.It is also explained in detail in the case of no linear potential action.Similarly,the effects of the Lévy index and distribution factor on the transmission of the Pearcey Gaussian beam without sidelobe in linear potential are considered.In addition,the transmission characteristics of the initial Pearcey Gaussian beam with sidelobe in the linear potential with chirp are investigated.(3)The interaction of the Pearcey Gaussian beams is discussed.In this section,we discuss the interaction of the Pearcey Gaussian beams with and without sidelobes under linear potential.The results show that both the interval parameters and the relative phase have corresponding effects on the beam interaction in the linear potential,which has potential application value for beam regulation.