Solving the multi-frequency electromagnetic inverse source problem by the Fourier method
Numerical Analysis
2017-08-03 v1 Mathematical Physics
Analysis of PDEs
math.MP
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.
Cite
@article{arxiv.1708.00673,
title = {Solving the multi-frequency electromagnetic inverse source problem by the Fourier method},
author = {Guan Wang and Fuming Ma and Yukun Guo and Jingzhi Li},
journal= {arXiv preprint arXiv:1708.00673},
year = {2017}
}
Comments
30 pages, 14 figures