Transmission Of The Pearcey-Gaussian Beams In Photorefractive Media

In modern production and life,optical fiber communication technology undoubtedly plays a key role in the foundation and guarantee,and plays an indispensable role in the development of social economy.Because of its longer transmission distance,low power consumption,high capacity and other characteristics,it facilitates people’s communication and life,and has important application value in military communication,radars and microwave systems.In this paper,the dynamic behavior and interaction of the PearceyGaussian beams in the transmission process are simulated numerically,and then the soliton shedding of Pearcey-Gaussian beams with sidelobe is studied.The main research contents of this paper are as follows:Firstly,the fractional Schr(?)dinger equation is used as the theoretical model to numerically simulate the effects on the transmission characteristics and interaction of Pearcey-Gaussian beams in photorefractive media.Under the influence of non-linear effect,Pearcey beam will have coherent diffraction,resulting in fish-scale phenomenon.When the nonlinear effect is added,the energy of the beam will converge in the middle position and form a breathing soliton with obvious periodicity.In a certain range,the larger the nonlinear coefficient is,the easier it is to form a stable soliton.Meanwhile,the breathing period and breathing amplitude of soliton become smaller.At the same time,the beam interval parameters,amplitude intensity and initial relative phase all affect the interaction of double Pearcey-Gaussian beams.The smaller the beam interval parameter,the stronger the attraction between the two beams,and the easier it is to form solitons.With the increase of amplitude intensity,the nonlinear effect decreases and the breathing period of solitons increases.When the initial relative phase Q =0,the two beams attract each other.When Q =π,the two beams reverse and repulsion occurs.Secondly,the phenomenon of Pearcey-Gaussian beams with sidelobe soliton shedding is studied by using the split-step Fourier method.The results show that the nonlinear coefficient and affect the formation of spatial solitons and the breathing period.The larger the nonlinear coefficient is,the stronger the beam convergence ability is,the diffraction effect is enhanced with the increase of the Lévy index.When the nonlinear effect and diffraction effect of the medium reach the balance,there will be single or more solitons.At the same time,the parameters m and n of the Pearcey function also affect the intensity and transmission direction of breathing solitons,which have important application prospects in the field of optical opening and optical splitter.In addition,the interaction of double Pearcey-Gaussian beams with sidelobe is studied.When the nonlinear coefficient and beam amplitude increase within the certain threshold range,it will be beneficial to the formation of spatial solitons.The initial relative phase will affect the transmission direction of breathing solitons,the energy of the beam also changes.When the initial relative phase is different,the soliton will show the difference of symmetric or asymmetric transmission in the transmission process,and the energy of beams will also change.