TY - JOUR
T1 - On the topological sensitivity of transient acoustic fields
AU - Malcolm, Alison
AU - Guzina, Bojan
PY - 2008/6
Y1 - 2008/6
N2 - The concept of topological sensitivity has been successfully employed as an imaging tool to obtain the correct initial topology and preliminary geometry of hidden obstacles for a variety of inverse scattering problems. In this paper, we extend these ideas to acoustic scattering involving transient waveforms and penetrable obstacles. Through a boundary integral equation framework, we present a derivation of the topological sensitivity for the featured class of problems and illustrate numerically the utility of the proposed method for preliminary geometric reconstruction of penetrable obstacles. For generality, we also cast the topological sensitivity in the so-called adjoint field setting that is amenable to a generic computational treatment using, for example, finite element or finite difference methods.
AB - The concept of topological sensitivity has been successfully employed as an imaging tool to obtain the correct initial topology and preliminary geometry of hidden obstacles for a variety of inverse scattering problems. In this paper, we extend these ideas to acoustic scattering involving transient waveforms and penetrable obstacles. Through a boundary integral equation framework, we present a derivation of the topological sensitivity for the featured class of problems and illustrate numerically the utility of the proposed method for preliminary geometric reconstruction of penetrable obstacles. For generality, we also cast the topological sensitivity in the so-called adjoint field setting that is amenable to a generic computational treatment using, for example, finite element or finite difference methods.
KW - Acoustic waves
KW - Inverse scattering
KW - Topological derivative
KW - Transient waveforms
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U2 - 10.1016/j.wavemoti.2008.03.003
DO - 10.1016/j.wavemoti.2008.03.003
M3 - Article
AN - SCOPUS:44549086010
VL - 45
SP - 821
EP - 834
JO - Wave Motion
JF - Wave Motion
SN - 0165-2125
IS - 6
ER -