Fourier method for identifying electromagnetic sources with multi-frequency far-field data
Analysis of PDEs
2018-01-11 v1
Abstract
We consider the inverse problem of determining an unknown vectorial source current distribution associated with the homogeneous Maxwell system. We propose a novel non-iterative reconstruction method for solving the aforementioned inverse problem from far-field measurements. The method is based on recovering the Fourier coefficients of the unknown source. A key ingredient of the method is to establish the relationship between the Fourier coefficients and the multi-frequency far-field data. Uniqueness and stability results are established for the proposed reconstruction method. Numerical experiments are presented to illustrate the effectiveness and efficiency of the method.
Cite
@article{arxiv.1801.03263,
title = {Fourier method for identifying electromagnetic sources with multi-frequency far-field data},
author = {Xianchao Wang and Minghui Song and Yukun Guo and Hongjie Li and Hongyu Liu},
journal= {arXiv preprint arXiv:1801.03263},
year = {2018}
}