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Identification of an unbounded bi-periodic interface for the inverse fluid-solid interaction problem
  • Yanli Cui,
  • Fenglong Qu,
  • Changkun Wei
Yanli Cui
Yantai University
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Fenglong Qu
Yantai University
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Changkun Wei
Seoul National University
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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.

Peer review status:UNDER REVIEW

27 Mar 2021Submitted to Mathematical Methods in the Applied Sciences
29 Mar 2021Assigned to Editor
29 Mar 2021Submission Checks Completed
06 Apr 2021Reviewer(s) Assigned