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Applied Mathematics and Mechanics (English Edition) ›› 2009, Vol. 30 ›› Issue (5): 643-652.doi: https://doi.org/10.1007/s10483-009-0510-y

• Articles • 上一篇    下一篇

An eigen theory of static electromagnetic field for anisotropic media

郭少华1,2   

  1. 1. School of Civil Engineering and Architecture, Zhejiang University of Science and Technology,Hangzhou 310023, P. R. China;
    2. School of Civil Engineering and Architecture, Central South University,Changsha 410075, P. R. China
  • 收稿日期:2008-11-25 修回日期:2009-03-27 出版日期:2009-05-01 发布日期:2009-05-01

An eigen theory of static electromagnetic field for anisotropic media

Shao-Hua GUO1,2   

  1. 1. School of Civil Engineering and Architecture, Zhejiang University of Science and Technology,Hangzhou 310023, P. R. China;
    2. School of Civil Engineering and Architecture, Central South University,Changsha 410075, P. R. China
  • Received:2008-11-25 Revised:2009-03-27 Online:2009-05-01 Published:2009-05-01

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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.

关键词: anisotropic media, static electromagnetic field, standard spaces, modal equation

Abstract: 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.

Key words: anisotropic media, static electromagnetic field, standard spaces, modal equation

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