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Recovering an elastic obstacle containing embedded objects by the acoustic far-field measurements
| Content Provider | Scilit |
|---|---|
| Author | Qu, Fenglong Yang, Jiaqing Zhang, Bo |
| Copyright Year | 2017 |
| Description | Journal: Inverse Problems Consider the inverse scattering problem of time-harmonic acoustic waves by a 3D bounded elastic obstacle which may contain embedded impenetrable obstacles inside. We propose a novel and simple technique to show that the elastic obstacle can be uniquely recovered by the acoustic far-field pattern at a fixed frequency, disregarding its contents. Our method is based on constructing a well-posed modified interior transmission problem on a small domain and makes use of an a priori estimate for both the acoustic and elastic wave fields in the usual H$ ^{1}$-norm. In the case when there is no obstacle embedded inside the elastic body, our method gives a much simpler proof for the uniqueness result obtained previously in the literature (Natroshvili et al 2000 Rend. Mat. Serie VII 20 57–92; Monk and Selgas 2009 Inverse Problems Imaging 3 173–98). |
| Related Links | http://iopscience.iop.org/article/10.1088/1361-6420/aa9c26/pdf |
| ISSN | 02665611 |
| e-ISSN | 13616420 |
| DOI | 10.1088/1361-6420/aa9c26 |
| Journal | Inverse Problems |
| Issue Number | 1 |
| Volume Number | 34 |
| Language | English |
| Publisher | IOP Publishing |
| Publisher Date | 2017-12-12 |
| Access Restriction | Open |
| Subject Keyword | Journal: Inverse Problems Acoustics and Ultrasonics Elastic Obstacle Obstacle Containing Embedded |
| Content Type | Text |
| Resource Type | Article |
| Subject | Applied Mathematics Theoretical Computer Science Signal Processing Mathematical Physics Computer Science Applications |
