高阶效应对耗散系统中艾里脉冲传输特性的影响  

Propagation Characteristics of Airy Pulses in the Dissipative System under the Influence of Higher-order Effects

作　　者：宋丽军[1] 刘树杰 刘晓琪 SONG Li-jun;LIU Shu-jie;LIU Xiao-qi(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》2022年第4期360-367,共8页Journal of Quantum Optics

摘　　要：本文基于包含高阶效应的复系数三次-五次金兹堡-朗道方程,采用分步傅里叶变换法,数值研究了艾里脉冲的传输特性。结果表明:在合理的参数条件下,艾里脉冲将演化为束缚态孤子或类脉动孤子。高阶效应导致两种孤子的传输方向发生偏移,且偏移程度可以通过调节参数的大小来控制。当高阶效应超过某一临界值时,类脉动孤子的行为会发生反常变化,自频移效应会导致类脉动孤子转化为束缚态孤子,自陡峭效应使类脉动孤子的传输变得不稳定,而三阶色散效应会使类脉动孤子演化为束缚态孤子或者类矩形波。Based on the complex cubic-quintic Ginzburg-Landau equation with high-order effects,we numerically investigated the propagation characteristics of bound state solitons and pulsating-like solitons which are generated by Airy pulses by using the split-step Fourier method.The results show that the transmission directions of the two solitons are deflected to the right under the influence of self-frequency shift effect and self-steepening effect,and the deflect speed can be controlled by adjusting the parameters.In addition,the peak power of the bound state solitons decreases with the increase of the self-frequency shift effect.However,the change of self-steepening effect has little effect on the peak power of the bound state solitons.The thirdorder dispersion effect will also cause the bound state solitons to deflect to the right or left,but the direction of the deflection is determined by the sign of the third-order dispersion effect.For the pulsating-like solitons,the addition of the self-frequency shift effect will deflect them to the right,and the deflect speed increases with the increase of the self-frequency shift effect,and the peak power decreases with the increase of the self-frequency shift effect.However,when the higher-order effect exceeds a certain critical value,the propagation characteristics of the pulsating-like solitons will change abnormally.The pulsating-like solitons will be transformed into fixed-shape solitons under the influence of the self-frequency shift effect;the self-steepening effect will affect the stability of the solitons and deflect the propagation of pulsating-like solitons to the left,while the third-order dispersion effect makes pulsating-like solitons evolve into rectangular-like pulses,and the peak power of pulsating-like solitons decreases with the increase of higher-order effects.The relevant results not only enrich the propagation dynamics of Airy beams,but also have certain potential applications in the manipulation of Airy pulses.At the same time,it will also provide a cert

关 键 词：艾里脉冲 复系数三次-五次金兹堡-朗道方程 高阶效应 

分 类 号：O437[机械工程—光学工程]