介质圆柱和球电型并矢格林函数求解特性比较研究

打开文本图片集

【摘   要】   基于圆柱和球坐标系中圆柱和球型矢量波函数，将自由空间圆柱和球型并矢格林函数应用于介质圆柱和球进而推出二者的第三类电型并矢格林函数，并就求解过程特性进行比较分析，其结果可为基于DGF方法处理圆柱和球型介质电磁散射等问题提供理论依据。

【关键词】   柱球坐标系;介质柱球;矢量波函数;并矢格林函数;比较研究

A Comparative Study of the Characteristics of the Solving Process of

Electric Dyadic Green′s Functions of Medium Column and Sphere

Luo Xiangdong1，2， Zhao Yujie1， Hai Bo1， Liang Ye1

（1. Lanzhou City University， Lanzhou 730070， China;

2. Editorial Department of Journal of Gansu Normal Colleges， Lanzhou 730070， China）

【Abstract】    Based on the cylindrical and spherical vector wave functions in the cylindrical and spherical coordinate systems， applying the free space cylindrical and spherical dyadic Green's functions to medium column and sphere， this paper deduces the third kind of electric dyadic Green's functions of the medium cylinder and sphere and makes a comparative analysis of the characteristics of their solving process. The results can provide theoretical basis for dealing with electromagnetic scattering of cylindrical and spherical media with the DGF method.

【Key words】     cylindrical and spherical coordinate systems; medium cylinder and sphere; vector wave functions; dyadic Green's functions; comparative study

〔中图分类号〕  O441.4                    〔文献标识码〕  A              〔文章编号〕 1674 - 3229（2022）01- 0037 - 04

0     引言

圆柱体、球体是工程应用中常见的电磁辐射与散射模型，这类电磁场边值问题的求解往往涉及柱型和球型矢量波函数的构建[1-4]。（剩余9236字）