RT Journal Article
T1 Determining Planar Multiple Sound-Soft Obstacles from Scattered Acoustic Fields
A1 Carpio Rodríguez, Ana María
A1 Johansson, B.T.
A1 Rapún Banzo, María Luisa
AB An inverse problem is considered where the structure of multiple sound-soft planar obstacles is to be determined given the direction of the incoming acoustic field and knowledge of the corresponding total field on a curve located outside the obstacles. A local uniqueness result is given for this inverse problem suggesting that the reconstruction can be achieved by a single incident wave. A numerical procedure based on the concept of the topological derivative of an associated cost functional is used to produce images of the obstacles. No a priori assumption about the number of obstacles present is needed. Numerical results are included showing that accurate reconstructions can be obtained and that the proposed method is capable of finding both the shapes and the number of obstacles with one or a few incident waves.
PB Springer
SN 0924-9907 (Print) 1573-7683 (Online)
YR 2010
FD 2010
LK https://hdl.handle.net/20.500.14352/42117
UL https://hdl.handle.net/20.500.14352/42117
LA eng
NO Carpio Rodríguez, A. M., Johansson, B. T. y Rapún Banzo, M. L. «Determining Planar Multiple Sound-Soft Obstacles from Scattered Acoustic Fields». Journal of Mathematical Imaging and Vision, vol. 36, n.o 2, febrero de 2010, pp. 185-99. DOI.org (Crossref), https://doi.org/10.1007/s10851-009-0182-x.
NO Ministerio de Educación, Formación Profesional y Deportes (España)
NO Fondo Europeo de Desarrollo Regional
DS Docta Complutense
RD 10 abr 2025