Abstract
This paper is concerned with the inverse scattering of acoustic waves by an unbounded periodic elastic medium in the three-dimensional case. A novel uniqueness theorem is proved for the inverse problem of recovering a bi-periodic interface between acoustic and elastic waves using the near-field data measured only from the acoustic side of the interface, corresponding to a countably infinite number of quasi-periodic incident acoustic waves. The proposed method depends only on a fundamental a priori estimate established for the acoustic and elastic wave fields and a new mixed-reciprocity relation established in this paper for the solutions of the fluid-solid interaction scattering problem.
Funding source: National Natural Science Foundation of China
Award Identifier / Grant number: 11871416
Award Identifier / Grant number: 12171057
Award Identifier / Grant number: 12201033
Funding source: Natural Science Foundation of Shandong Province
Award Identifier / Grant number: ZR2019MA027
Funding source: National Research Foundation of Korea
Award Identifier / Grant number: NRF-2020R1I1A1A01073356
Funding statement: This paper is supported by the National Natural Science Foundation of China Grant (Nos. 11871416, 12171057, 12201033) and by the projects ZR2019MA027 supported by Shandong Provincial Natural Science Foundation. C. Wei is also supported by the National Research Foundation of Korea (NRF-2020R1I1A1A01073356).
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