loading page

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

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.

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