Variational Approach to Electromagnetic Scattering by Layers above A Perfectly Conducting Surface for TM polarization
In this paper, we study the scattering of time harmonic electromagnetic waves by a homogeneous layer above a perfectly conducting surface in the case of TM polarization. We first, propose a variational formulation, and establish its equivalence to the boundary value problem. Then we prove , via LaxMilgram theorem, the well-posedness of this problem for small wave number, and obtain a stability estimation about the solution, which show explicitly the dependence on wave number and the maximum surface elevation. Finally, we consider the case of conducting layer, and show the problem is still uniquely solvable based on the results of dielectric case.
variational formulation dielectric layer TM polarization
Tian Luan
dept. Information and Computing Science Mathematics College of Beihua University Jilin, China
国际会议
杭州
英文
610-613
2011-10-28(万方平台首次上网日期,不代表论文的发表时间)