Eigen Theory of Static Electromagnetic Field for Anisotropic Media
-
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．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.
-
Key words:
- anisotropic media /
- static electromagnetic field /
- standard spaces /
- modal equation
-
[1] Kong J A.Theory of Electromagnetic Waves[M].New York:Wiley-Interscience,1975. [2] Frankl D R.Electromagnetic Theory[M].New Jersey:Prentice-Hill,1986. [3] Zuniga M,Kong J A.Modified radiative transfer theory for a two-layer random medium[J].J Appl Phys,1980,51(5228):5228-5244. doi: 10.1063/1.327439 [4] Tamoikin V V.The average field in a medium having strong anisotropic inhomogeneities[J].Raddiophysics Quantum Electron,1971,14(2):228-233. doi: 10.1007/BF01031405 [5] Chari K V M,Silvester P P.Finite Elements in Electric and Magnetic Field Problems[M].New York:John Wiley & Sons,1980. [6] 郭少华.基于Kelvin-Voigt模型的粘弹性波动力学的本征化理论[J].应用数学和力学,2005,25(7):723-728. [7] Guo S H.An eigen theory of rheology for complex media[J].Acta Mechanica,2008,198(3/4):253-260. doi: 10.1007/s00707-007-0524-y [8] Guo S H.An Eigen theory of electromagnetic waves based on the standard spaces[J].Int J Eng Sci,2009,47(3):405-412. doi: 10.1016/j.ijengsci.2008.10.006 -
点击查看大图
计量
- 文章访问数: 1265
- HTML全文浏览量: 96
- PDF下载量: 1084
- 被引次数: 0
下载:
