Homogenization of Maxwell's Equations

Abstract

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