On uniqueness in inverse obstacle scattering
On uniqueness in inverse obstacle scattering
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DOI：
10.1007/3-540-57195-7_12
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发表时间：
1993
期刊：
影响因子：
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通讯作者：
R. Kress
中科院分区：
文献类型：
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作者：
R. Kress
我们考虑的反问题是根据入射时谐声波或电磁波的远场散射图的知识来重建障碍物的形状。它出现在各种应用中，如无损检测、超声层析成像和地震成像，由于非线性和不正确的定位，很难解决。在这个调查中，我们概述了三种不同的方法，可用于证明在反散射问题的唯一性定理在不可穿透和可穿透障碍物。最后，我们将提到几个开放的唯一性问题。
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.