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Reconstruction de signaux et identification d'objets par la méthode TRAC en retournement temporel

Abstract : We introduce time reversed absorbing conditions (TRAC) in time reversal methods. They enable one to "recreate the past" without knowing the source which has emitted the signals that are back-propagated. We present two applications in inverse problems : the reduction of the size of the computational domain and the determination, from boundary measurements, of the location and volume of an unknown inclusion. The method does not rely on any a priori knowledge of the physical properties of the inclusion. Numerical tests with the wave equation illustrate the efficiency of the method. This technique is fairly insensitive with respect to noise in the data. In particular the TRAC method is applied to the differentiation between a single inclusion and a two close inclusion case.
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https://tel.archives-ouvertes.fr/tel-00726342
Contributor : Marie Kray <>
Submitted on : Wednesday, August 29, 2012 - 4:27:01 PM
Last modification on : Friday, May 29, 2020 - 3:57:04 PM

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Marie Kray. Reconstruction de signaux et identification d'objets par la méthode TRAC en retournement temporel. Analyse numérique [math.NA]. Université Pierre et Marie Curie - Paris VI, 2012. Français. ⟨tel-00726342⟩

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