标准椭球面坐标系的建立及在各向异性电磁介质中的应用  

Standard Establishment of Ellipsoidal Coordinate System and Its Application in Anisotropic Electromagnetic Medium

作　　者：许景生 李文略 XU Jingsheng;LI Wenlüe(College of Basic Education, Institute of Lingnan Normal University, Zhanjiang 524037, China)

机构地区：[1]岭南师范学院基础教育学院,广东湛江524037

出　　处：《河南教育学院学报（自然科学版）》2020年第2期31-37,共7页Journal of Henan Institute of Education(Natural Science Edition)

摘　　要：应用张量分析的矩阵方法建立椭球面坐标系。各向异性电磁介质的边值关系是张量方程,由张量方程的协变性,应用张量分析的矩阵方法推导出边值关系在标准椭球面坐标系下的具体形式,有助于加深对各向异性电磁介质属性的理解,也可作为研究各向异性电磁介质属性基础理论的补充。The standard ellipsoidal coordinate system was establishment by using the matrix method of tensor analysis.The boundary conditions in anisotropic magnetic medium are tensor equations.Based on the covariance of tensor equations,the specific coordinate forms of boundary conditions of anisotropic electromagnetic medium were deduced in standard ellipsoidal coordinate system with method of tensor analysis,which helps to understand the dielectric and permeability properties of anisotropic electromagnetic medium deeply and as a supplement to the basic theory of electromagnetic medium properties.

关 键 词：标准椭球面坐标系 各向异性电磁介质 边值关系 张量 矩阵 

分 类 号：O441.4[理学—电磁学]