The identification of a penetrable obstacle with mixed transmission conditions from far field measurements
The identification of a penetrable obstacle with mixed transmission conditions from far field measurements
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DOI：
10.1080/00036810903437820
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发表时间：
2010-01
影响因子：
1.1
通讯作者：
F. Cakoni;G. Nakamura;M. Sini;N. Zeev
中科院分区：
文献类型：
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作者：
F. Cakoni;G. Nakamura;M. Sini;N. Zeev
研究了部分包覆一薄层高导电性材料的介质的二维电磁逆散射问题。利用线性采样方法，我们证明了远场方程的近似解除了散射障碍物的形状外，还可以用来重建涂层的支撑。我们还推导出了提供涂覆部分表面电导率的逐点重建和边界未涂覆部分的实际折射率的公式。在表面电导率和折射率恒定的情况下，给出了数值例子，说明了重构方法的可行性。
We consider the two-dimensional electromagnetic inverse scattering problem for a dielectric medium partially coated with a thin layer of highly conductive material. Using the linear sampling method, we show that the approximate solution of the far field equation can be used to reconstruct the support of the coating in addition to the shape of the scattering obstacle. We also deduce formulaes providing point-wise reconstruction of the surface conductivity on the coated portion and the real index of refraction on the uncoated portion of the boundary. Numerical examples are given for the case with constant surface conductivity and index of refraction showing the viability of our reconstruction procedure.