TY - JOUR
T1 - Apposition of the topological sensitivity and linear sampling approaches to inverse scattering
AU - Bellis, Cédric
AU - Bonnet, Marc
AU - Guzina, Bojan B.
PY - 2013/7
Y1 - 2013/7
N2 - The focus of this study is the reconstruction of a penetrable obstacle in an acoustic medium from the knowledge of incident time-harmonic waves and corresponding scattered fields. The problem is investigated by way of two competing approaches: the method of topological sensitivity and that of linear sampling, that have been successfully developed for a variety of physical settings (acoustic, electromagnetic, elastodynamic) as non-iterative tools for solving the inverse scattering problem. On adopting a particular scattering configuration-plane waves impinging on a spherical obstacle-that permits analytical treatment as the testing platform, a parallel is drawn between the two methods to evaluate their relative performance in reconstructing the obstacle from the scattered field data. For completeness, the comparison is made by considering a range of input parameters in terms of material properties of the scatterer, frequency of illuminating waves, and noise in the data.
AB - The focus of this study is the reconstruction of a penetrable obstacle in an acoustic medium from the knowledge of incident time-harmonic waves and corresponding scattered fields. The problem is investigated by way of two competing approaches: the method of topological sensitivity and that of linear sampling, that have been successfully developed for a variety of physical settings (acoustic, electromagnetic, elastodynamic) as non-iterative tools for solving the inverse scattering problem. On adopting a particular scattering configuration-plane waves impinging on a spherical obstacle-that permits analytical treatment as the testing platform, a parallel is drawn between the two methods to evaluate their relative performance in reconstructing the obstacle from the scattered field data. For completeness, the comparison is made by considering a range of input parameters in terms of material properties of the scatterer, frequency of illuminating waves, and noise in the data.
KW - Acoustic waves
KW - Inverse scattering
KW - Linear sampling method
KW - Topological sensitivity
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U2 - 10.1016/j.wavemoti.2013.02.013
DO - 10.1016/j.wavemoti.2013.02.013
M3 - Article
AN - SCOPUS:84878681732
SN - 0165-2125
VL - 50
SP - 891
EP - 908
JO - Wave Motion
JF - Wave Motion
IS - 5
ER -