Abstract
In this paper, we study the inverse electromagnetic medium scattering problem of estimating the support and shape of medium scatterers from scattered electric/magnetic near-field data. We shall develop a novel direct sampling method based on an analysis of electromagnetic scattering and the behavior of the fundamental solution. It is applicable to a few incident fields and needs only to compute inner products of the measured scattered field with the fundamental solutions located at sampling points. Hence, it is strictly direct, computationally very efficient and highly robust to the presence of data noise. Two- and three-dimensional numerical experiments indicate that it can provide reliable support estimates for multiple scatterers in the case of both exact and highly noisy data. © 2013 IOP Publishing Ltd.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 095018 |
| Journal | Inverse Problems |
| Volume | 29 |
| Issue number | 9 |
| DOIs | |
| State | Published - Sep 2 2013 |
| Externally published | Yes |
Bibliographical note
KAUST Repository Item: Exported on 2020-10-01Acknowledged KAUST grant number(s): KUS-C1-016-04
Acknowledgements: The authors would like to thank the anonymous referees and the board member for helpful comments, which have significantly improved the quality of the paper. The work of KI was partially supported by the Army Research Office under DAAD19-02-1-0394, US-ARO grant 49308-MA, and US-AFSOR grant FA9550-06-1-0241, that of BJ was supported by award KUS-C1-016-04, made by King Abdullah University of Science and Technology (KAUST), and that of JZ was substantially supported by Hong Kong RGC grants (projects 405110 and 404611).
This publication acknowledges KAUST support, but has no KAUST affiliated authors.