各向异性静态电磁场的本征理论

基金项目: 国家自然科学基金资助项目(50778179)

Eigen Theory of Static Electromagnetic Field for Anisotropic Media

1.
School of Civil Engineering and Architecture, Zhejiang University of Science & Technology, Hangzhou 310023, P. R. China;

摘要: 在物理表象的规范空间下研究了静电磁场方程，推导出了一阶模态形式的各向异性介质静电磁场的基本求解方程，从而得到了如下的理论结论：各向同性介质电或磁场为标量场；各向异性介质电或磁场则为失量场，其大小和方向与介质的异性子空间有关A·D2以电各向异性介质为例，具体讨论了各向异性电场的规律．
- 各向异性介质 /
- 电磁场 /
- 规范空间 /
- 模态方程
Abstract: The static electromagnetic fields were studied here based on the standard spaces of the physical presentation, and the modal equations of static electromagnetic fields for anisotropic media were deduced. By introducing a set of new potential functions of order 1, several novel theoretical results are obtained: 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, the laws of static electromagnetic fields for anisotropic media are discussed.
- anisotropic media /
- static electromagnetic field /
- standard spaces /
- modal equation

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