饱和非线性介质中艾里光束与孤子的交互作用  

Interaction of Airy Beams and Soliton in Saturable Nonlinear Medium

作　　者：王涛 廉城 王连锴 宦克为[1] 母一宁[1] 陈卫军[1] Wang Tao;Lian Cheng;Wang Liankai;Huan Kewei;Mu Yining;Chen Weijun(School of Science,Changchun University of Science and Technology,Changchun,Jilin 130022,China)

机构地区：[1]长春理工大学理学院,吉林长春130022

出　　处：《中国激光》2021年第13期177-185,共9页Chinese Journal of Lasers

基　　金：国家自然科学基金(61905026);国家自然科学基金联合基金(U2031113);吉林省教育厅“十三五”科学技术研究项目(JJKH20200733KJ);吉林省科技发展计划(20190701024GH);吉林省产业技术开发专项(2016C082)。

摘　　要：基于分步傅里叶法研究了饱和非线性介质中艾里光束与孤子的交互作用。仿真结果表明,单艾里光束与孤子作用时,可通过调节艾里光束与孤子的初始强度比、光束初始间隔及相位差控制交互作用后光波的传播模式。弱能量艾里光束与孤子碰撞后会形成峰值强度呈阻尼振荡的呼吸孤子,而同相位时,强能量艾里光束与孤子碰撞后会使呼吸孤子的峰值强度位置左移;反相位时,则会产生峰值强度不等且存在一定夹角的孤子对。双艾里光束与孤子作用时,可通过调节三光束间的初始间隔和相位差调整呼吸孤子的平均峰值强度,且艾里光束主瓣及旁瓣会随双艾里光束与孤子初始振幅比的增加发生能量脱落,此时呼吸孤子和孤子对共存。Objective In 1979, Berry and Balazs provided the first theoretical derivation of Airy wave packets from quantum mechanics. Finite-energy Airy beams(FEABs) are achieved by an exponential aperture in an optical study by Siviloglou and Christodoulides in 2007. FEABs have since proven a valuable research tool and their potential applications are wide-ranging. Examples are light bullets, curved plasma channel generation, optical routing, optical interconnection, vacuum electron acceleration, and laser-assisted guiding of electric discharges. FEAB applications are based on light-field regulation theory. Therefore, controlling the propagation and interaction of FEABs in different nonlinear media has attracted great interest. Thus far, most of this research has focused on the propagation dynamics of a single FEAB and the interaction of two FEABs. It is found that breathing solitons or soliton pairs can be generated during the propagation. However, the interaction of solitons and FEABs has been little investigated. In the present study, we investigate the interaction of solitons and a single FEAB or two FEABs in a saturable nonlinear medium. This novel phenomenon is applicable to beam control and optical information processing.Methods We first established the theoretical model and considered the one-dimensional case for convenience.A light wave propagating through saturated nonlinear medium satisfies the nonlinear Schr9 dinger equation.For different initial incident beams,the beam evolution is simulated in the saturated nonlinear medium using the splitstep Fourier method.In addition,the dynamic characteristics of the FEAB-soliton interaction are investigated by changing the model parameters:initial amplitude ratio R,initial interval b,phase shift Q,and saturable nonlinear strengthβ.Results and Discussions When a weak-energy FEAB and a soliton interacted with a phase shift of 0 orπ,the collision is followed by a breathing soliton(Fig.2).The peak intensity of the breathing soliton is higher in the inphase case than in the

关 键 词：非线性光学 艾里光束 孤子 交互作用 

分 类 号：O437[机械工程—光学工程]