Hostname: page-component-cd9895bd7-fscjk Total loading time: 0 Render date: 2024-12-27T12:50:47.284Z Has data issue: false hasContentIssue false
  • English
  • Français

Transient elasticity imaging and time reversal

Published online by Cambridge University Press:  15 November 2011

Habib Ammari ,
Lili Guadarrama Bustos ,
Hyeonbae Kang  and
Hyundae Lee
Habib Ammari
Affiliation:
Department of Mathematics and Applications, Ecole Normale Supérieure, 45 Rue d'Ulm, 75005 Paris, France (habib.ammari@ens.fr)
Lili Guadarrama Bustos
Affiliation:
Institut Langevin, CNRS UMR 7587 and ESPCI, 10 rue Vauquelin, 75231 Paris Cedex 05, France (lili.guadarrama@espci.fr)
Hyeonbae Kang
Affiliation:
Department of Mathematics, Inha University, Incheon 402-751, South Korea (hbkang@inha.ac.kr; hdlee@inha.ac.kr)
Hyundae Lee
Affiliation:
Department of Mathematics, Inha University, Incheon 402-751, South Korea (hbkang@inha.ac.kr; hdlee@inha.ac.kr)
Get access Rights & Permissions [Opens in a new window]

Abstract

We consider a purely quasi-incompressible elasticity model. We rigorously establish asymptotic expansions of near- and far-field measurements of the transient elastic wave induced by a small elastic anomaly. Our proof uses layer potential techniques for the modified Stokes system. Based on these formulae, we design asymptotic imaging methods leading to a quantitative estimation of elastic and geometrical parameters of the anomaly.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 141 , Issue 6 , December 2011 , pp. 1121 - 1140
Copyright
Copyright © Royal Society of Edinburgh 2011

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)