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Publication Date:
February 2011
ISSN:
1569-3945
DOI:
10.1515/jiip.2011.002

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Journal of Inverse and III-posed Problems

Editor-in-Chief: Kabanikhin, Sergey I.

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An inverse source problem for quasi-static Maxwell's equations

1 / 2

1LMAC, University of Technology of Compiegne, France.

2The University of Electro-Communications, Japan.

Citation Information: Journal of Inverse and Ill-posed Problems. Volume 18, Issue 7, Pages 741–764, ISSN (Online) 1569-3945, ISSN (Print) 0928-0219, DOI: 10.1515/jiip.2011.002, February 2011

Publication History:
Received:
2010-09-06
Published Online:
2011-02-24

Abstract

In this paper, we show the uniqueness and local stability of an inverse source problem for the quasi-static Maxwell equation in a layered domain, where the source consists of multiple point dipoles. Also, an algebraic algorithm is proposed to identify the number, locations, and moments of the dipoles from boundary measurements of tangential components of the electric and magnetic fields. The proposed algorithm is numerically verified.

Keywords.: Inverse source problems; quasi-static Maxwell's equations; dipole

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