The inverse scattering problem for cavities

The inverse scattering problem for cavities
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DOI:
10.1016/j.apnum.2010.10.011
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发表时间:
2012-06
影响因子:
2.8
通讯作者:
H. Qin;D. Colton
H. Qin;D. Colton
中科院分区:
数学2区
文献类型:
--
作者:
H. Qin;D. Colton

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我们考虑的逆散射问题,确定一个完美的导电腔的形状从源和测量放置在一个曲线内的腔。证明了一个唯一性定理,并利用一种改进的线性采样方法进行了形状重构。数值例子显示我们的方法的可行性。
We consider the inverse scattering problem of determining the shape of a perfectly conducting cavity from sources and measurements placed on a curve inside the cavity. A uniqueness theorem is proved and the shape is reconstructed by using a modification of the linear sampling method. Numerical examples are provided showing the viability of our method.