Retournement temporel avec conditions absorbantes (TRAC) et super-résolution Reconstruction du passé et application aux problèmes inverses

Franck Assous; Marie Kray; Frédéric Nataf

doi:10.3166/i2m.12.1-2.177-198

Retournement temporel avec conditions absorbantes (TRAC) et super-résolution Reconstruction du passé et application aux problèmes inverses

Translated title of the contribution: Time-reversed absorbing conditions (TRAC) and super-resolution. Recreate the past and applications to inverse problems

Franck Assous, Marie Kray, Frédéric Nataf

Department of Mathematics

Research output: Contribution to journal › Review article › peer-review

1 Scopus citations

Abstract

The time-reversed absorbing conditions (TRAC) method introduced in (Assous et al., 2010; 2011) enables one to "recreate the past" without knowing the source which has emitted the signals that are back-propagated. The method does not rely on any a priori knowledge of the physical properties of the inclusion. TRAC has been applied successfully to inverse problems. In this paper, we consider the case of the discrimination between one inclusion and two close inclusions in non-dissipative homogeneous media. The results are fairly insensitive to noise in the data.

Translated title of the contribution	Time-reversed absorbing conditions (TRAC) and super-resolution. Recreate the past and applications to inverse problems
Original language	French
Pages (from-to)	177-198
Number of pages	22
Journal	Instrumentation Mesure Metrologie
Volume	12
Issue number	1-2
DOIs	https://doi.org/10.3166/i2m.12.1-2.177-198
State	Published - 2012

Keywords

Absorbing boundary conditions
Subwavelength resolution
Time reversal

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10.3166/i2m.12.1-2.177-198

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Retournement temporel avec conditions absorbantes (TRAC) et super-résolution Reconstruction du passé et application aux problèmes inverses

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Keywords

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