圆柱波导并矢格林函数的构建及其在圆柱腔中的应用  

Construction of Dyadic Green’s Functions in Cylindrical Wave-guide and Its Application in Cylindrical Cavity

作　　者：雒向东[1,3] 赵宇杰 海波[2] 梁晔[1] LUO Xiangdong;ZHAO Yujie;HAI Bo;LIANG Ye(School of Electronic Engineering,Lanzhou City University,Lanzhou 730070,China;School of Information Engineering,Lanzhou City University,Lanzhou 730070,China;Editorial Department,Gansu Normal Colleges,Lanzhou 730070,China)

机构地区：[1]兰州城市学院电子工程学院,兰州730070 [2]兰州城市学院信息工程学院,兰州730070 [3]甘肃高师学报编辑部,兰州730070

出　　处：《渭南师范学院学报》2022年第2期72-80,共9页Journal of Weinan Normal University

基　　金：2019年甘肃省高等学校通信工程省级一流专业建设项目;2019年甘肃省高等学校通信工程省级创新创业改革试点专业建设项目。

摘　　要：利用并矢格林函数方法解决电磁场工程问题关键是构造并矢格林函数。基于圆柱坐标系中具有离散本征值的矢量波函数,研究圆柱波导系统中并矢格林函数的产生机理,通过构建圆柱腔驻波矢量波函数,依据散射叠加原理将圆柱波导并矢格林函数应用于圆柱腔系统,推证出圆柱腔系统的第一类电型并矢格林函数,并就其谐振问题做了分析。该研究结论可为DGF方法处理圆柱腔等电磁场边值问题提供理论依据和指导方法。The key of using dyadic Green’s function method to solve electromagnetic field engineering problems is to construct dyadic Green’s functions.Based on vector wave functions of discrete eigenvalues in cylindrical coordinate system,the generation mechanism of dyadic Green’s functions in cylindrical wave-guide system is studied.Based on the scattering superposition principle,the stationary wave vector wave functions of cylindrical cavity are constructed and the dyadic Green’s functions of cylindrical wave-guide are applied to the cylindrical cavity system and the first type of electric dyadic Green’s function of cylindrical cavity system is deduced and the resonance problems of cylindrical cavity are analyzed.The results of the study can provide theoretical basis and method guidance for DGF method to deal with the boundary value problems of electromagnetic field such as cylindrical cavity.

关 键 词：圆柱坐标系 圆柱波导 圆柱腔 驻波波函数 并矢格林函数 

分 类 号：O441.4[理学—电磁学]