Identification of generalized impedance boundary conditions in inverse scattering problems
Identification of generalized impedance boundary conditions in inverse scattering problems
复制标题
逆散射问题中广义阻抗边界条件的识别
DOI：
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发表时间：
2010
期刊：
影响因子：
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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：
L. Bourgeois;H. Haddar
在谐波区散射问题的背景下，我们考虑了从与固定频率的单个入射平面波相关的远场测量中识别物体(假定已知)边界上的某些广义阻抗边界条件(GIBC)的问题。GIBCS可以看作是薄涂层、波纹表面或高吸波介质的近似模型。在指出唯一性在一般情况下不成立之后，我们提出了一些可恢复唯一性的附加假设。我们还考虑了唯一性成立时的稳定性问题。我们特别证明了当阻抗参数属于有限维空间的紧子集时的Lipschitz稳定性。
In the context of scattering problems in the harmonic regime, we consider the problem of identification of some Generalized Impedance Boundary Conditions (GIBC) at the boundary of an object (which is supposed to be known) from far field measurements associated with a single incident plane wave at a fixed frequency. The GIBCs can be seen as approximate models for thin coatings, corrugated surfaces or highly absorbing media. After pointing out that uniqueness does not hold in the general case, we propose some additional assumptions for which uniqueness can be restored. We also consider the question of stability when uniqueness holds. We prove in particular Lipschitz stability when the impedance parameters belong to a compact subset of a finite dimensional space.