Study On The Propagation Control Of Self-Accelerated Beams In Photorefractive Photovoltaic Crystals

The transmission and interaction of Airy beams under the action of nonlinear mechanisms show a lot of strange properties.In this paper,we will use split-step Fourier method to study the transmission,regulation,and interaction of Airy beams in photovoltaic photorefractive crystals.In addition to,we explore new applications of Airy beams under the control of nonlinear mechanisms.First,we use split-step Fourier method to numerically study the transmission and regulation of the Airy Gaussian beams in a biased photovoltaic photorefractive crystal.The results show that when the initial amplitude and the applied electric field of the Airy Gaussian beams are within a reasonable range,breathing solitons can be generated and the transmission can be stable.Then by adjusting these two external conditions,the peak intensity and breathing cycle of the soliton can be controlled.As the incident light field distribution factor becomes larger,the average peak intensity of the soliton first increases and then decreases,the breathing cycle first decreases and then increases.With the increase of the beam attenuation factor,the average peak intensity of the soliton increases firstly,then decreases,and then increases.When the incident angle of the light beam is negative,the soliton shifts to the left.If positive,the soliton shifts to the right.The incident angle only changes the output position of the soliton,and does not affect the intensity,width and breathing period of the soliton.Secondly,the interaction between Airy and non-linear accelerating beams in a biased photovoltaic photorefractive crystal was studied by using the split-step Fourier method.The results show that when the beam spacing and incident angle are changed,Airy beams with the same or opposite phases will attract and repel each other at the same time.In the samephase Airy beam interaction,not only soliton and soliton pairs are formed,but also respiratory splitting solitons can be generated under appropriate parameters.The out-ofphase Airy beams only form soliton pairs when they interact.When the apodized nonlinear acceleration beam interacts,an odd number of breathing solitons can be formed under the same phase condition,and an even number of breathing soliton pairs can be formed under the opposite phase condition.In addition to,adjusting the bias voltage can control the peak intensity of the breathing solitons,the breathing cycle and the interaction force.