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Solving the multi-frequency electromagnetic inverse source problem by the Fourier method.

Authors :
Wang, Guan
Ma, Fuming
Guo, Yukun
Li, Jingzhi
Source :
Journal of Differential Equations. Jul2018, Vol. 265 Issue 1, p417-443. 27p.
Publication Year :
2018

Abstract

This work is concerned with an inverse problem of identifying the current source distribution of the time-harmonic Maxwell's equations from multi-frequency measurements. Motivated by the Fourier method for the scalar Helmholtz equation and the polarization vector decomposition, we propose a novel method for determining the source function in the full vector Maxwell's system. Rigorous mathematical justifications of the method are given and numerical examples are provided to demonstrate the feasibility and effectiveness of the method. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
00220396
Volume :
265
Issue :
1
Database :
Academic Search Index
Journal :
Journal of Differential Equations
Publication Type :
Academic Journal
Accession number :
128878662
Full Text :
https://doi.org/10.1016/j.jde.2018.02.036