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Recovering Unbounded Rough Surfaces with a Direct Imaging Method

Recovering Unbounded Rough Surfaces with a Direct Imaging Method In this paper, we consider the inverse acoustic scattering problem by an unbounded rough surface. A direct imaging method is proposed to reconstruct the rough surfaces from scattered-field data for incident plane waves and the performance analysis is also presented. The reconstruction method is very robust to noises of measured data and does’t need to know the type of the boundary conditions of the surfaces in advance. Finally, numerical examples are carried out to illustrate that our method is fast, accurate and stable even for the case of multiple-scale profiles. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Acta Mathematicae Applicatae Sinica Springer Journals

Recovering Unbounded Rough Surfaces with a Direct Imaging Method

Acta Mathematicae Applicatae Sinica , Volume 36 (1) – Dec 27, 2019

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References (37)

Publisher
Springer Journals
Copyright
Copyright © 2020 by The Editorial Office of AMAS & Springer-Verlag GmbH Germany
Subject
Mathematics; Applications of Mathematics; Math Applications in Computer Science; Theoretical, Mathematical and Computational Physics
ISSN
0168-9673
eISSN
1618-3932
DOI
10.1007/s10255-020-0916-5
Publisher site
See Article on Publisher Site

Abstract

In this paper, we consider the inverse acoustic scattering problem by an unbounded rough surface. A direct imaging method is proposed to reconstruct the rough surfaces from scattered-field data for incident plane waves and the performance analysis is also presented. The reconstruction method is very robust to noises of measured data and does’t need to know the type of the boundary conditions of the surfaces in advance. Finally, numerical examples are carried out to illustrate that our method is fast, accurate and stable even for the case of multiple-scale profiles.

Journal

Acta Mathematicae Applicatae SinicaSpringer Journals

Published: Dec 27, 2019

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