UNIQUENESS IN INVERSE OBSTACLE SCATTERING
UNIQUENESS IN INVERSE OBSTACLE SCATTERING
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DOI：
10.1142/9789812777140_0001
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发表时间：
2002-08
期刊：
影响因子：
64.8
通讯作者：
R. Kress
中科院分区：
文献类型：
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作者：
R. Kress
我们考虑的逆问题是重建的形状的障碍物的知识的远场图案的散射入射的时间谐波声波或电磁波。它发生在各种应用中，如无损检测，超声层析成像和地震成像，是很难解决的，因为它是非线性和不适当的设置。在这项调查中，我们概述了三种不同的方法，可在文献中证明的唯一性定理在逆散射问题的不可穿透和可穿透的障碍。最后，我们将提到一些开放的独特性问题。
The inverse problem we consider is to reconstruct the shape of an obstacle from the knowledge of the far field pattern for the scattering of incident time-harmonic acoustic or electromagnetic waves. It occurs in a variety of applications such as nondestructive testing, ultrasound tomography and seismic imaging and is difficult to solve since it is nonlinear and improperly posed. In this survey we outline the three different methods which are available in the literature for proving uniqueness theorems in inverse scattering problems for impenetrable and penetrable obstacles. At the end we will mention a few open uniqueness problems.