On the uniqueness of the inverse conductive scattering problem for the Helmholtz equation

On the uniqueness of the inverse conductive scattering problem for the Helmholtz equation
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DOI:
10.1088/0266-5611/10/1/010
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发表时间:
1994
期刊:
影响因子:
2.1
通讯作者:
F Hettlich
F Hettlich
中科院分区:
数学2区
文献类型:
--
作者:
F Hettlich

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本文考虑具有传导边界条件的可穿透障碍物的逆散射问题。我们证明了,如果已知所有固定波数的入射平面波散射波的远场分布,则障碍是唯一确定的。此外,我们还建立了传导散射问题其他参数的唯一性结果。
In this paper we consider the inverse scattering problem by penetrable obstacles with conductive boundary conditions. We prove that the obstacle is uniquely determined if the far-field patterns of the scattered waves for all incident plane waves with fixed wavenumber are known. Also we establish uniqueness results for the other parameters of the conductive scattering problem.