含三阶色散和五阶非线性的矢量孤子动力学特性  

Dynamics Characteristics of Vector Solitons with Third-order Dispersion and Fifth-order Nonlinearity

作　　者：王锦丽 饶黄云 吕波 彭凤梅 邱庆顺 WANG Jin-li;RAO Huang-yun;LU Bo;PENG Feng-mei;QIU Qing-shun(Basic Teaching Department of Gandong College,Fuzhou 344000,China;School of Science,East China University of Technology,Fuzhou 344000,China)

机构地区：[1]赣东学院基础教学部,江西抚州344000 [2]东华理工大学理学院,江西抚州344000

出　　处：《量子光学学报》2024年第2期121-128,共8页Journal of Quantum Optics

基　　金：江西省教育厅科学技术研究项目(GJJ2203701)。

摘　　要：基于耦合的非线性薛定谔方程,用变分法研究考虑三阶色散和五阶非线性高阶效应时,亮、暗两类矢量孤子在双折射光纤中传输的动力学特性。研究结果表明:三阶色散和五阶非线性对矢量孤子的幅值没有影响,传输过程中矢量孤子的幅值保持不变。正三阶色散导致亮孤子的中心位置随传输距离的变化率减小;对于矢量暗孤子,三阶色散的影响与亮孤子恰好相反。相位对传输距离的变化率与三阶色散系数和五阶非线性系数的数值呈线性关系,五阶非线性不影响孤子的传输速度和中心位置。此外,正三阶色散可增强或减弱孤子两偏振分量间的相互作用,取决于色散系数的取值范围;而负三阶色散会增强它们之间的相互作用。不考虑三阶色散时,矢量孤子中相距非常近的两偏振分量在双折射光纤中传输时一直相互排斥,孤子振幅越大,孤子内相互作用越强,越不利于矢量孤子的稳定传输;五阶非线性对孤子两分量间有效相互作用没有直接影响。Objective High-order effects in optical fibers,such as third-order dispersion and fifth-order nonlinear effects,are common influencing factors in practical optical fiber transmission,significantly impacting the transmission and characteristics of optical solitons.Through systematic mathematical modeling and analysis,this study aims to reveal the impact of these high-order effects on the dynamic behavior of vector solitons and to explore the characteristics and behaviors of vector solitons.By providing theoretical foundations and experimental guidance for the application of optical solitons in fiber transmission,this research can further expand the transmission capacity of optical communication and provide essential support for the construction of future high-capacity,long-distance communication networks.Method Based on the coupled nonlinear Schr?dinger equation(NLS),this study employs an analytical approach-the variational method,to investigate the dynamic characteristics of bright and dark vector solitons in birefringent optical fibers considering third-order dispersion and fifth-order nonlinear effects.The variational method is used to derive the evolution equations for the parameters of the two types of solitons,and the impact of third-order dispersion and fifth-order nonlinearity on soliton transmission and interaction is analyzed through graphical representations.Results and Discussions This study examines the dynamic characteristics of the orthogonal polarization components of bright and dark vector solitons in birefringent optical fibers considering high-order effects such as third-order dispersion and fifth-order nonlinearity.The findings are as follows:In terms of transmission characteristics,both types of vector solitons in birefringent optical fibers exhibit properties of maintaining constant amplitude and conserving energy.Positive third-order dispersion reduces the rate of change of the center position of bright solitons with transmission distance,while negative third-order dispersion increases this

关 键 词：三阶色散 五阶非线性 矢量孤子 变分法 

分 类 号：O437[机械工程—光学工程]