On uniqueness in th invese transmission scattering problem

On uniqueness in th invese transmission scattering problem
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DOI:
10.1080/03605309908820737
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发表时间:
1990
影响因子:
1.9
通讯作者:
V. Isakov
V. Isakov
中科院分区:
数学2区
文献类型:
--
作者:
V. Isakov

文献摘要

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我们给出了逆散射问题的唯一性结果,其中未知散射体 D 是有界开集,并且椭圆方程的一些系数也是未知的。在D的边界上规定了传输条件,因此我们考虑可穿透介质。我们的数据是针对一个或两个频率以及所有方向给出的散射幅度 A
We give uniqueness results for the inverse scattering problem where the unknown scatterer D is a bounded open set and some coefficients of an elliptic equation are unknown as well. On the boundary of D the transmission conditions are prescribed, so we consider penetrable medium. Our data is the scattering amplitude A given for one or two frequences and for all directions