The inverse scattering problem for a partially coated cavity with interior measurements
The inverse scattering problem for a partially coated cavity with interior measurements
复制标题
DOI：
10.1080/00036811.2013.801458
复制
发表时间：
2014-04
影响因子：
1.1
通讯作者：
Yuqing Hu;F. Cakoni;Jijun Liu
中科院分区：
文献类型：
--
作者：
Yuqing Hu;F. Cakoni;Jijun Liu
我们考虑了利用位于腔内封闭曲线上的点源所产生的散射波的测量知识来恢复不可穿透部分涂层腔的形状和表面阻抗的内部逆散射问题。首先，我们证明了反问题的唯一性，即我们证明了腔的形状和涂层部件上的阻抗函数都是由精确数据唯一确定的。然后，基于线性采样方法，提出了一种同时确定形状和边界阻抗的反演方案。最后，给出了一些数值算例，说明了该方法的有效性。
We consider the interior inverse scattering problem of recovering the shape and the surface impedance of an impenetrable partially coated cavity from a knowledge of measured scatter waves due to point sources located on a closed curve inside the cavity. First, we prove uniqueness of the inverse problem, namely, we show that both the shape of the cavity and the impedance function on the coated part are uniquely determined from exact data. Then, based on the linear sampling method, we propose an inversion scheme for determining both the shape and the boundary impedance. Finally, we present some numerical examples showing the validity of our method.