The Factorization Method for an inverse fluid-solid interaction scattering problem
The Factorization Method for an inverse fluid-solid interaction scattering problem
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DOI：
10.3934/ipi.2012.6.681
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发表时间：
2012-11
影响因子：
1.3
通讯作者：
A. Kirsch;A. Ruiz
中科院分区：
文献类型：
--
作者：
A. Kirsch;A. Ruiz
本文证明了声弹性耦合介质的分解方法。在对数据的自然假设下，我们证明了只有远场算符的光谱数据进入的散射介质D的特征函数的显式形式。这一信息是由所有入射平面波的远场模式的知识提供的。在最后一节中，我们研究了相应的内传输特征值问题，并证明了特征值构成一个离散集。
In this paper we justify the Factorization Method for a coupled acoustic-elastic medium. Under natural assumptions on the data we prove an explicit form of the characteristic function of the scattering medium $D$ where only the spectral data of the far field operator enter. This information is provided by the knowledge of the far field patterns for all incident plane waves. In the last section we investigate the corresponding interior transmission eigenvalue problem and prove that the eigenvalues form a discrete set.