Abstract
The basis of most imaging methods is to detect hidden obstacles or inclusions within a body when one can only make measurements on an exterior surface. Our underlying model is that of inverse acoustic scattering based on the Helmholtz equation. Our inclusions are interior forces with compact support and our data consist of a single measurement of near-field Cauchy data on the external boundary. We propose an algorithm that under certain assumptions allows for the determination of the support set of these forces by solving a simpler 'equivalent point source' problem, and which uses a Newton scheme to improve the corresponding initial approximation. © 2013 IOP Publishing Ltd.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 035005 |
| Journal | Inverse Problems |
| Volume | 29 |
| Issue number | 3 |
| DOIs | |
| State | Published - Feb 26 2013 |
| Externally published | Yes |
Bibliographical note
KAUST Repository Item: Exported on 2020-10-01Acknowledged KAUST grant number(s): KUS-CI-016-04
Acknowledgements: This research was supported by the National Science Foundation under grant DMS-0715060 and by KAUST award KUS-CI-016-04. It was initiated while WR visited the University of Gottingen with the support of the SFB Nanoscale Photonic Imaging.
This publication acknowledges KAUST support, but has no KAUST affiliated authors.