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A quasi-backscattering problem for inverse acoustic scattering in the Born regime

Houssem Haddar 1 Jacob Rezac 2 
1 DeFI - Shape reconstruction and identification
CMAP - Centre de Mathématiques Appliquées - Ecole Polytechnique, Inria Saclay - Ile de France
Abstract : We consider the problem of detecting three-dimensional inclusions from quasi-backscattering far field data generated by an incident field of time-harmonic fixed frequency plane waves modeled with the Born approximation. We assume only partial far field data is known and use a sampling-type method to reconstruct small obstacles and extended spherical obstacles. In particular, at the location of a device transmitting an incident wave, we assume far field data is collected only along a line extending a short distance from the transmitting device. Several numerical examples are provided to demonstrate the effectiveness of the approach.
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Submitted on : Sunday, October 11, 2015 - 11:34:33 AM
Last modification on : Friday, November 18, 2022 - 9:23:11 AM
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Houssem Haddar, Jacob Rezac. A quasi-backscattering problem for inverse acoustic scattering in the Born regime. Inverse Problems, 2015, 31 (7), pp.075008. ⟨10.1088/0266-5611/31/7/075008⟩. ⟨hal-01214267⟩



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