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

Xianchao Wang, Minghui Song*, Yukun Guo, Hongjie Li, Hongyu LIU

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

4 Citations (Scopus)

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.

Original languageEnglish
Pages (from-to)279-292
Number of pages14
JournalJournal of Computational and Applied Mathematics
Volume358
DOIs
Publication statusPublished - 1 Oct 2019

Scopus Subject Areas

  • Computational Mathematics
  • Applied Mathematics

User-Defined Keywords

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

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