Inverse scattering for a locally perturbed half-plane
Inverse scattering for a locally perturbed half-plane
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DOI：
10.1088/0266-5611/16/5/323
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发表时间：
2000-10
期刊：
影响因子：
2.1
通讯作者：
R. Kress;T. Tran
中科院分区：
文献类型：
--
作者：
R. Kress;T. Tran
我们认为反问题，以确定一个完美的导电板的局部扰动的形状从TM极化的时间谐波电磁波的散射的远场图案的知识，通过将其重新制定为一个平面域的角的逆散射问题。对于它的近似解，我们提出了一个正则化的牛顿迭代格式。作为Newton型方法的基础，我们建立了散射问题解关于边界的Frechet可微性，并研究了线性化映射的内射性。数值算例表明了该方法的可行性。为了完整起见，本文的第一部分概述了直接散射问题的解决方案，通过第一类积分方程，包括数值解。
We consider the inverse problem to determine the shape of a local perturbation of a perfectly conducting plate from a knowledge of the far-field pattern of the scattering of TM polarized time-harmonic electromagnetic waves by reformulating it as an inverse scattering problem for a planar domain with corners. For its approximate solution we propose a regularized Newton iteration scheme. For a foundation of Newton type methods we establish the Frechet differentiability of the solution to the scattering problem with respect to the boundary and investigate the injectivity of the linearized mapping. Some numerical examples of the feasibility of the method are presented. For the sake of completeness, the first part of the paper outlines the solution of the direct scattering problem via an integral equation of the first kind including the numerical solution.