The interior transmission problem for anisotropic Maxwell's equations and its applications to the inverse problem
The interior transmission problem for anisotropic Maxwell's equations and its applications to the inverse problem
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DOI：
10.1002/mma.465
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发表时间：
2004-12
影响因子：
2.9
通讯作者：
H. Haddar
中科院分区：
文献类型：
--
作者：
H. Haddar
在研究逆散射问题时，即根据时间谐波入射波和散射波的远场模式来确定可穿透介质的形状时，自然出现了内部传输问题。我们提出了在非均匀各向异性介质中麦克斯韦方程组的变分研究。然后，我们应用得到的结果建立了一个“扩展远场”算子，并从该算子的范围知识中给出了介质的表征。然后，我们将展示如何将线性抽样方法视为这种特征的近似。版权所有©2004 John Wiley & Sons， Ltd
The interior transmission problem appears naturally in the study of the inverse scattering problem of determining the shape of a penetrable medium from a knowledge of the time harmonic incident waves and the far field patterns of the scattered waves. We propose a variational study of this problem in the case of Maxwell's equations in an inhomogeneous anisotropic medium. Then we apply the obtained results to build an ‘extented far field’ operator and give a characterization of the medium from the knowledge of the range of this operator. We then show how the linear sampling method can be viewed as an approximation of this characterization. Copyright © 2004 John Wiley & Sons, Ltd.