Hagemann, F;
Arens, T;
Betcke, T;
Hettlich, F;
(2019)
Solving inverse electromagnetic scattering problems via domain derivatives.
Inverse Problems
10.1088/1361-6420/ab10cb.
(In press).
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Abstract
We employ domain derivatives to solve inverse electromagnetic scattering problems for perfect conducting or for penetrable obstacles. Using a variational approach, the derivative of the scattered field with respect to boundary variations is characterized as the solution of a boundary value problem of the same type as the original scattering problem. The inverse scattering problem of reconstructing the scatterer from far field measurements for a single incident field can thus be solved via a regularized iterative Newton scheme. Both the original forward problem and the problem characterizing the domain derivative are formulated as boundary integral equations and we carefully describe how these formulations are obtained in the case of Lipschitz domains. The integral equations are solved using the boundary element library Bempp. A number of numerical examples of shape reconstructions are presented.
| Type: | Article |
|---|---|
| Title: | Solving inverse electromagnetic scattering problems via domain derivatives |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.1088/1361-6420/ab10cb |
| Publisher version: | https://doi.org/10.1088/1361-6420/ab10cb |
| Language: | English |
| Additional information: | © 2019 IOP Publishing. As the Version of Record of this article is going to be/has been published on a gold open access basis under a CC BY 3.0 licence, this Accepted Manuscript is available for reuse under a CC BY 3.0 licence immediately (https://creativecommons.org/licenses/by/3.0/). |
| UCL classification: | UCL UCL > Provost and Vice Provost Offices > UCL BEAMS UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > Dept of Mathematics |
| URI: | https://discovery.ucl.ac.uk/id/eprint/10075334 |
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