Applied Mathematics and Mechanics

, Volume 30, Issue 5, pp 643–652 | Cite as

An eigen theory of static electromagnetic field for anisotropic media

Article
First Online:
Received:
Revised:

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 

Chinese Library Classification

O441.4 

2000 Mathematics Subject Classification

78A25 
This is a preview of subscription content, log in to check access.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. [1]
    Kong, J. A. Theory of Electromagnetic Waves, Wiley-Interscience, New York (1975)Google Scholar
  2. [2]
    Frankl, D. R. Electromagnetic Theory, Prentice-Hill, New Jersey (1986)Google Scholar
  3. [3]
    Zuniga, M. and Kong, J. A. Modified radiative transfer theory for a twolayer random medium. J. Appl. Phys. 51, 5228–5244 (1980)CrossRefGoogle Scholar
  4. [4]
    Tamoikin, V. V. The average field in a medium having strong anisotropic inhomogeneities. Rddiophysics Quantum Electron. 14, 228–233 (1971)CrossRefGoogle Scholar
  5. [5]
    Chari, K. V. M. and Silvester, P. P. Finite Elements in Electric and Magnetic Field Problems. John Wiley & Sons, New York (1980)Google Scholar
  6. [6]
    Guo, S. H. Eigen theory of viscoelastic dynamics based on the Kelvin-Voigt model. Appl. Math. Mech. -Engl. Ed. 25(7), 792–798 (2004) DOI 10.1007/BF02437571CrossRefMATHGoogle Scholar
  7. [7]
    Guo, S. H. An eigen theory of rheology for complex media. Acta Mechanica 198, 253–260 (2008)CrossRefMATHGoogle Scholar
  8. [8]
    Guo, S. H. An eigen theory of electromagnetic waves based on the standard spaces. Int. J. Eng. Sci. 47, 405–412 (2009)CrossRefGoogle Scholar

Copyright information

© Shanghai University and Springer-Verlag GmbH 2009

Authors and Affiliations

  1. 1.School of Civil Engineering and ArchitectureZhejiang University of Science and TechnologyHangzhouP. R. China
  2. 2.School of Civil Engineering and ArchitectureCentral South UniversityChangshaP. R. China

Personalised recommendations