Time reversal for obstacle location in elastodynamics from acoustic recording

Translated title of the contribution: Time reversal for obstacle location in elastodynamics from acoustic recording

Franck Assous, Moshe Lin

Research output: Contribution to journalArticlepeer-review

5 Scopus citations

Abstract

The Note is concerned with a feasibility study of time reversal in a non-homogeneous elastic medium, from data recorded in an acoustic medium. Our aim here is to determine the presence and some physical properties of elastic “inclusions” (unknown, not observable solid objects, characterized by their elastic properties) from partial observations of acoustic waves scattered by these inclusions. A finite element numerical method, based on a variational acousto-elastodynamics formulation, is derived and used to solve the forward, and then, the time-reversed problem. A criterion, derived from the reverse time migration framework, is introduced, to help construct images of the inclusions to be determined. Numerical illustrations on configurations that mimic the breast cancer configuration are proposed, and show that one can differentiate between two inclusions, even with different properties.

Translated title of the contributionTime reversal for obstacle location in elastodynamics from acoustic recording
Original languageEnglish
Pages (from-to)455-462
Number of pages8
JournalComptes Rendus - Mecanique
Volume347
Issue number6
DOIs
StatePublished - Jun 2019
Externally publishedYes

Bibliographical note

Publisher Copyright:
© 2019 Académie des sciences

Keywords

  • Acousto-elastodynamics
  • Identification
  • Inverse problem
  • Numerical simulation
  • Time reversal
  • Wave propagation

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