Analysis of Some Qualitative Methods for Inverse Electromagnetic Scattering Problems
Analysis of Some Qualitative Methods for Inverse Electromagnetic Scattering Problems
复制标题
逆电磁散射问题的一些定性方法分析
DOI：
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发表时间：
2015
期刊：
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通讯作者：
H. Haddar
中科院分区：
文献类型：
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作者：
H. Haddar
本章全面介绍了非均匀各向异性介质三维电磁散射反问题的一些定性方法。我们首先讨论的问题，在框架内所谓的玻恩近似，导致线性化的反问题。我们第二次提出和分析的应用程序的线性抽样方法的全非线性问题，使用多基地数据在一个给定的频率。我们特别专注于推广这种方法的基础上，在现有的数据方面的夹杂物形状的精确表征。然后，我们讨论密切相关的内部传输问题和相关的传输特征值。我们用一些开放的挑战性问题和进一步阅读的参考资料来补充每一章。
This chapter provides an a comprehensive presentation of some qualitative methods associated with inverse 3D electromagnetic scattering problem from inhomogeneous and anisotropic media. We first discuss the problem in the framework of so-called Born approximation, that leads to a linearisation of the inverse problem. We second present and analyze the application of the Linear Sampling Method to the full non linear problem using multistatic data at a given frequency. We especially focus on a generalization of this method based on an exact characterization of the inclusion shape in terms of the available data. We then discuss the closely related interior transmission problem and associated transmission eigenvalues. We complements each chapter with some open challenging questions as well as references for further readings.