Fourier method for identifying electromagnetic sources with multi-frequency far-field data

Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journal

2 Scopus Citations
View graph of relations

Author(s)

  • Xianchao Wang
  • Minghui Song
  • Yukun Guo
  • Hongjie Li
  • Hongyu Liu

Detail(s)

Original languageEnglish
Pages (from-to)279-292
Journal / PublicationJournal of Computational and Applied Mathematics
Volume358
Online published21 Mar 2019
Publication statusPublished - 1 Oct 2019
Externally publishedYes

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 multi-frequency 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.

Research Area(s)

  • Far-field, Fourier expansion, Inverse source problem, Maxwell system, Multi-frequency