An eigen theory of static electromagnetic field for anisotropic media  

作　　者：郭少华 

机构地区：[1]School of Civil Engineering and Architecture,Zhejiang University of Science and Technology [2]School of Civil Engineering and Architecture,Central South University

出　　处：《Applied Mathematics and Mechanics(English Edition)》2009年第5期643-652,共10页应用数学和力学（英文版）

基　　金：supported by the National Natural Science Foundation of China (No.50778179)

摘　　要：Static electromagnetic fields are studied based on standard spaces of the physical presentation, and the modal equations of static electromagnetic fields for anisotropic media are derived. By introducing a new set of first-order potential functions, several novel theoretical results are obtained. It is found that, for isotropic media, electric or magnetic potentials are scalar; while for anisotropic media, they are vectors. Magnitude and direction of the vector potentials are related to the anisotropic subspaces. Based on these results, we discuss the laws of static electromagnetic fields for anisotropic media.Static electromagnetic fields are studied based on standard spaces of the physical presentation, and the modal equations of static electromagnetic fields for anisotropic media are derived. By introducing a new set of first-order potential functions, several novel theoretical results are obtained. It is found that, for isotropic media, electric or magnetic potentials are scalar; while for anisotropic media, they are vectors. Magnitude and direction of the vector potentials are related to the anisotropic subspaces. Based on these results, we discuss the laws of static electromagnetic fields for anisotropic media.

关 键 词：anisotropic media static electromagnetic field standard spaces modal equation 

分 类 号：O441.4[理学—电磁学] P631.4[理学—物理]