A Second-Order Eigen Theory for Static Electromagnetic Fields
Shaohua Guo
.
DOI: 10.4236/jmp.2010.12015   PDF    HTML     6,065 Downloads   10,405 Views   Citations

Abstract

The static electromagnetic fields are studied here based on the standard spaces of the physical presentation, and the modal equations of static electromagnetic fields for anisotropic media are deduced. By introducing a set of new potential functions of order 2, several novel theoretical results were obtained: The classical potential functions of order 1 can be expressed by the new potential functions of order 2, the electric or magnetic potentials are scalar for isotropic media, and vector for anisotropic media. The amplitude 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.

Share and Cite:

S. Guo, "A Second-Order Eigen Theory for Static Electromagnetic Fields," Journal of Modern Physics, Vol. 1 No. 2, 2010, pp. 100-107. doi: 10.4236/jmp.2010.12015.

Conflicts of Interest

The authors declare no conflicts of interest.

References

[1] J. Kong, “Theory of Electromagnetic Waves,” Wiley- In-terscience, New York, 1975.
[2] D. Frankl, “Electromagnetic Theory,” Prentice-Hill, New Jersey, 1986.
[3] M. Zuniga and J. Kong, “Modified Radiative Transfer Theory for a Twolayer Random Medium,” Journal of Applied Physics, Vol. 51, August 1987, pp. 5228-5244.
[4] V. Tamoikin, “The Average Field in a Medium Having Strong Anisotropic Inhomogeneities,” Radiophysics and Quantum Electronics, Vol. 14, No. 2, March 1987, pp. 228-233.
[5] K. Chari and P. Silvester, “Finite Elements in Electric and Magnetic Field Problems,” John Wiley and Sons, New York, 1980.
[6] S. Guo, “An Eigen Theory of Electromagnetic Waves Based on the Standard Spaces,” International Journal of Engineering Science, Vol. 47, No. 3, May 2009, pp. 405- 412.

Copyright © 2024 by authors and Scientific Research Publishing Inc.

Creative Commons License

This work and the related PDF file are licensed under a Creative Commons Attribution 4.0 International License.