A Direct Sampling Method for Recovering Electromagnetic Dipolar Sources

East Asian Journal on Applied Mathematics
Vol. 9 No. 2 (2019), pp. 252-269
DOI: 10.4208/eajam.030818.061118
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Author(s)
    Sara Bousba
    Harbin Inst Technol, Dept Math, Harbin 150001, Heilongjiang, Peoples R China Ferhat Abbas Univ, Dept Math, Setif 19000, Algeria
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1 Harbin Inst Technol, Dept Math, Harbin 150001, Heilongjiang, Peoples R China
2 Ferhat Abbas Univ, Dept Math, Setif 19000, Algeria
Received
August 3, 2018
Accepted
November 6, 2018
Abstract

An inverse source problem for time-harmonic Maxwell equation is studied and a direct sampling method to recover the location and the moments of electric current dipoles from near- and far-field data at a fixed frequency is developed. The method is based on a new indicator function and requires the evaluation of simple integrals only. It is easily implementable and efficient. Numerical examples demonstrate the robustness of the method with respect to noisy measurements and its capability in identifying the source location and the moments.

Keywords
Inverse source problem Maxwell equation direct sampling method dipole time-harmonic.
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