| Recovering Unbounded Rough Surfaces with a Direct Imaging Method |
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| 作者姓名： | Hai-wen ZHANG |
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| 作者单位： | NCMIS and Academy of Mathematics and Systems Science |
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| 基金项目： | supported by the National Natural Science Foundation of China(Nos.11871466,11571355)。 |
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| 摘 要： | 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.
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| 关 键 词： | DIRECT imaging method INVERSE scattering problem UNBOUNDED ROUGH surface INCIDENT plane wave NEAR-FIELD data |
Recovering Unbounded Rough Surfaces with a Direct Imaging Method |
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| Hai-wen ZHANG.Recovering Unbounded Rough Surfaces with a Direct Imaging Method[J].Acta Mathematicae Applicatae Sinica,2020,36(1):119-133. |
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| Authors: | Zhang Hai-wen |
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| Institution: | 1.NCMIS and Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing, 100190, China
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| Abstract: | Acta Mathematicae Applicatae Sinica, English Series - In this paper, we consider the inverse acoustic scattering problem by an unbounded rough surface. A direct imaging method is proposed to... |
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