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 contribution | Time reversal for obstacle location in elastodynamics from acoustic recording |
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Original language | English |
Pages (from-to) | 455-462 |
Number of pages | 8 |
Journal | Comptes Rendus - Mecanique |
Volume | 347 |
Issue number | 6 |
DOIs | |
State | Published - Jun 2019 |
Externally published | Yes |
Bibliographical note
Publisher Copyright:© 2019 Académie des sciences
Keywords
- Acousto-elastodynamics
- Identification
- Inverse problem
- Numerical simulation
- Time reversal
- Wave propagation