麦克斯韦方程组的均匀化

2006 International Conference on Mathematical Methods in Electromagnetic Theory Pub Date : 2006-09-11 DOI:10.1109/MMET.2006.1689755

I. Pankratova, E. Khruslov

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引用次数: 0

摘要

我们考虑由细的交叉导线构成的完美导电栅格域中的电磁场。网格应该依赖于一个小参数epsiv>0，这样当epsivrarr0导线的直径趋于零时，网格的密度增加，网格位于光滑表面Gamma的任意小域内。研究了麦克斯韦方程组在ε rr0时解的渐近性质

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Homogenization of Maxwell's Equations

We consider the electromagnetic field in the domain with a perfectly conducting grid made of thin intersecting wires. The grid is supposed to be dependent on a small parameter epsiv>0 such that when epsivrarr0 the diameters of the wires tend to zero, the density of the grid increases and the grid is located in an arbitrary small neighborhood of a smooth surface Gamma. We study the asymptotic behavior of the solutions of Maxwell's equations when epsiv rarr 0

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2006 International Conference on Mathematical Methods in Electromagnetic Theory

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