Acoustic imaging in a shallow ocean with a thin ice cap”, Inverse Problems 16
Abstract. This paper considers the determination, from scattered sound, of a distributed inhomogeneity in a shallow, two-dimensional, ocean with a thin ice cap. Assuming that we know the acoustic properties of the ice cap, we determine the unknown inhomogeneity by sending in incident waves from poin...
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ftciteseerx:oai:CiteSeerX.psu:10.1.1.1052.3311 2023-05-15T16:38:03+02:00 Acoustic imaging in a shallow ocean with a thin ice cap”, Inverse Problems 16 Robert P Gilbert Yongzhi Xu The Pennsylvania State University CiteSeerX Archives 2000 application/pdf http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.1052.3311 http://www.math.udel.edu/%7Egilbert/papers/gilb_xu.pdf en eng http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.1052.3311 http://www.math.udel.edu/%7Egilbert/papers/gilb_xu.pdf Metadata may be used without restrictions as long as the oai identifier remains attached to it. http://www.math.udel.edu/%7Egilbert/papers/gilb_xu.pdf text 2000 ftciteseerx 2020-04-12T00:16:02Z Abstract. This paper considers the determination, from scattered sound, of a distributed inhomogeneity in a shallow, two-dimensional, ocean with a thin ice cap. Assuming that we know the acoustic properties of the ice cap, we determine the unknown inhomogeneity by sending in incident waves from point sources in prescribed locations, and detect the total acoustic field over a line. In this paper we consider the case where the wavenumber, k, is small. Under these circumstances, we obtain a representation for the solution to the direct problem, and prove the uniqueness and existence of the direct scattering problem. The inverse problem is formulated as a regularized minimization problem. Numerical examples illustrating the procedure are presented. Text Ice cap Unknown |
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description |
Abstract. This paper considers the determination, from scattered sound, of a distributed inhomogeneity in a shallow, two-dimensional, ocean with a thin ice cap. Assuming that we know the acoustic properties of the ice cap, we determine the unknown inhomogeneity by sending in incident waves from point sources in prescribed locations, and detect the total acoustic field over a line. In this paper we consider the case where the wavenumber, k, is small. Under these circumstances, we obtain a representation for the solution to the direct problem, and prove the uniqueness and existence of the direct scattering problem. The inverse problem is formulated as a regularized minimization problem. Numerical examples illustrating the procedure are presented. |
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The Pennsylvania State University CiteSeerX Archives |
format |
Text |
author |
Robert P Gilbert Yongzhi Xu |
spellingShingle |
Robert P Gilbert Yongzhi Xu Acoustic imaging in a shallow ocean with a thin ice cap”, Inverse Problems 16 |
author_facet |
Robert P Gilbert Yongzhi Xu |
author_sort |
Robert P Gilbert |
title |
Acoustic imaging in a shallow ocean with a thin ice cap”, Inverse Problems 16 |
title_short |
Acoustic imaging in a shallow ocean with a thin ice cap”, Inverse Problems 16 |
title_full |
Acoustic imaging in a shallow ocean with a thin ice cap”, Inverse Problems 16 |
title_fullStr |
Acoustic imaging in a shallow ocean with a thin ice cap”, Inverse Problems 16 |
title_full_unstemmed |
Acoustic imaging in a shallow ocean with a thin ice cap”, Inverse Problems 16 |
title_sort |
acoustic imaging in a shallow ocean with a thin ice cap”, inverse problems 16 |
publishDate |
2000 |
url |
http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.1052.3311 http://www.math.udel.edu/%7Egilbert/papers/gilb_xu.pdf |
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Ice cap |
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Ice cap |
op_source |
http://www.math.udel.edu/%7Egilbert/papers/gilb_xu.pdf |
op_relation |
http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.1052.3311 http://www.math.udel.edu/%7Egilbert/papers/gilb_xu.pdf |
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Metadata may be used without restrictions as long as the oai identifier remains attached to it. |
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1766028350242947072 |