三次–五次非线性分数阶系统中啁啾对双艾里光束传输特性的影响  

Effect of Chirp on the Transmission Characteristics of Double Airy Beams in Cubic-quintic Nonlinear Fractional System

作　　者：陈胜杰 宋丽军[1] 房立芝 CHEN Sheng-jie;SONG Li-jun;FANG Li-zhi(College of Physics and Electronic Engineering,Shanxi University,Taiyuan 030006,China)

机构地区：[1]山西大学物理电子工程学院,山西太原030006

出　　处：《量子光学学报》2023年第1期69-76,共8页Journal of Quantum Optics

摘　　要：基于分数阶三次–五次非线性薛定谔方程,数值研究了初始啁啾对双艾里光束传输特性的影响。结果表明:当同相的两个艾里光束初始间隔为零时,在分数阶衍射效应和初始啁啾共同作用下形成呼吸孤子或相互排斥的孤子对。艾里光束相互吸引时可以产生准稳定传输的呼吸孤子,而相互排斥时则形成横向间隔增大的孤子对。当初始间隔不为零时,初始啁啾的绝对值越大,两个艾里光束之间的排斥力越强,光束演化偏转角也越大,且随着Lévy指数的增大,衍射效应使光束宽度变大。当初始输入的两个艾里光束反相时,整体均表现为排斥作用,且初始啁啾越大,两艾里光束间的排斥力越强。Based on the fractional cubic-quintic nonlinear Schrodinger equation,the interaction characteristics of chirped double Airy beams are numerically studied.The results show that breathing solitons or mutually repulsive solitons are formed under the effect of fractional diffraction and initial chirp when the initial interval between two in-phase Airy beams is zero.Airy beams attract each other to produce quasi-stable transmission of respiratory solitons,while mutual repulsion forms a pair of solitons with increased lateral spacing.The larger the absolute value of the initial chirp,the stronger the repulsive force between the two Airy beams and the larger deflection angle of the beam evolution when the initial interval is not zero.As the Lévy index increases,the beam width and the width of the soliton pair increase under the fractional diffraction effect.When the initial input is two antiphase Airy beams,the interaction is generally repulsive.The larger the initial chirp,the stronger the repulsive force between two airy beams.This work may provide new control methods for the interaction of Airy beams.We study theoretically and numerically the interaction of chirped Airy beams simulated by fractional nonlinear cubic and quintic Schrodinger equation.By considering the fractional diffraction effect,Airy beams without initial chirp exhibit damped oscillations in the propagation range.The Lévy index is smaller,and the oscillation characteristic is more obvious.When the initial chirp exists,the secondary chirp can affect the strength of the fractional effect and nonlinear effect.The Lévy index is the larger,fractional and nonlinear effects are more sensitive to the secondary chirp.The stably transmitted breathing soliton is generated by beam attraction and the symmetric breathing soliton pairs are generated by beam repulsion.The secondary chirp only affects the transmission of the second beam.This work may provide new control methods for the interaction of Airy beams.

关 键 词：三次–五次分数阶非线性薛定谔方程 艾里光束 啁啾 

分 类 号：O437[机械工程—光学工程]