This paper is concerned with the inverse scattering of time-harmonic acoustic plane waves by a multi-layered fluid–solid medium in the three dimensional space. We establish the global uniqueness in identifying the embedded penetrable solid obstacle, the surrounding fluid medium and its wave number from the acoustic far-field pattern for all incident plane waves at a fixed frequency. The proof depends on constructing different kinds of interior transmission problems in appropriate small domains and the a priori estimates derived for both the elastic wave fields in the embedded solid obstacle and the acoustic wave fields in the surrounding fluid medium.

中文翻译：

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多层流体-固体介质的唯一标识

本文涉及三维空间中的多层流固介质对时谐声平面波的逆散射。我们从固定频率的所有入射平面波的声远场模式中识别嵌入的可穿透固体障碍物，周围的流体介质及其波数，从而建立全局唯一性。证明依赖于在适当的小范围内构造不同类型的内部传输问题，以及针对嵌入式固体障碍物中的弹性波场和周围流体介质中的声波场得出的先验估计。