非理想导体散射体电磁散射近似模型的建立与分析
Construction and analysis of approximate models for electromagnetic scattering from imperfectly conducting scatterers
摘要：
本报告致力于建设和分析所谓的广义阻抗边界条件（GIBCs）的电磁散射问题中使用的不完美的导体作为一个完美的导体条件的高阶近似。我们认为在这里的3-D的情况下，麦克斯韦方程组的谐波制度。GIBCs的构造基于相对于趋肤深度的缩放渐近展开。理论上证明了这种渐近展开在任意阶下都是合理的，并且给出了直到三阶的显式表达式。这些表达式用于导出GIBCs。分析了相关的边值问题，并根据趋肤深度得到了误差估计。
英文摘要：
This report is dedicated to the construction and analysis of so-called Generalized Impedance Boundary Conditions (GIBCs) used in electromagnetic scattering problems from imperfect conductors as higher order approximations of a perfect conductor condition. We consider here the 3-D case with Maxwell equations in a harmonic regime. The construction of GIBCs is based on a scaled asymptotic expansion with respect to the skin depth. The asymptotic expansion is theoretically justified at any order and we give explicit expressions till the third order. These expressions are used to derive the GIBCs. The associated boundary value problem is analyzed and error estimates are obtained in terms of the skin depth.
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