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Time Reversed Absorbing Condition in the Partial Aperture Case

Franck Assous 1, Marie Kray 2, Frédéric Nataf 2

(24/03/2011)

The time-reversed absorbing conditions (TRAC) method introduced enables one to ''recreate the past'' without knowing the source which has emitted the signals that are back-propagated. It has been applied to inverse problems for the reduction of the computational domain size and for 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. The aim of this paper is to extend the {\em TRAC} method to the partial aperture configuration and to discrete receivers with various spacing. In particular the TRAC method is applied to the differentiation between a single inclusion and a two close inclusion case. The results are fairly insensitive to noise in the data.

1 :	Department of Mathematics
	Bar Ilan University
2 :	Laboratoire Jacques-Louis Lions (LJLL)
	CNRS : UMR7598 – Université Paris VI - Pierre et Marie Curie

Domaine

:

Mathématiques/Analyse numérique

Mots Clés : Inverse problem – Absorbing boundary condition – Time reversal

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Contributeur : Frédéric Nataf <>

Soumis le : Mercredi 30 Mars 2011, 15:45:15

Dernière modification le : Mercredi 30 Mars 2011, 18:38:57