Year: 2023
Author: Meng Liu, Jiaqing Yang
Communications in Computational Physics, Vol. 33 (2023), Iss. 3 : pp. 884–911
Abstract
In this paper, we propose a Newton iterative algorithm to numerically reconstruct a locally rough surface with Dirichlet and impedance boundary conditions by near-field measurements of acoustic waves. The algorithm relies on the Fréchet differentiability analysis of the locally rough surface scattering problem, which is established by reducing the original model into an equivalent boundary value problem with compactly supported boundary data. With a slight modification, the algorithm can be also extended to reconstruct the local perturbation of a non-local rough surface. Finally, numerical results are presented to illustrate the effectiveness of the inversion algorithm with the multi-frequency data.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/cicp.OA-2022-0171
Communications in Computational Physics, Vol. 33 (2023), Iss. 3 : pp. 884–911
Published online: 2023-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 28
Keywords: Newton iterative algorithm Fréchet derivative inverse scattering locally rough surface Dirichlet condition impedance condition multi-frequency data.