Identifying defects in an unknown background using differential measurements

Abstract : We present a new qualitative imaging method capable of selecting defects in complex and unknown background from differential measurements of farfield operators: i.e. far measurements of scattered waves in the cases with and without defects. Indeed, the main difficulty is that the background physical properties are unknown. Our approach is based on a new exact characterization of a scatterer domain in terms of the far field operator range and the link with solutions to so-called interior transmission problems. We present the theoretical foundations of the method and some validating numerical experiments in a two dimensional setting.
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Contributor : Houssem Haddar <>
Submitted on : Tuesday, January 27, 2015 - 5:52:47 PM
Last modification on : Wednesday, March 27, 2019 - 4:08:30 PM

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Lorenzo Audibert, Girard Alexandre, Houssem Haddar. Identifying defects in an unknown background using differential measurements. Inverse Probl. Imaging, AIMS, 2015, 9 (3), ⟨10.3934/ipi.2015.9.625⟩. ⟨hal-01110270⟩

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