Fourier method for recovering acoustic sources from multi-frequency far-field data

Xianchao Wang, Yukun Guo, Deyue Zhang, Hongyu Liu*

*Corresponding author for this work

Research output: Contribution to journalJournal articlepeer-review

52 Citations (Scopus)


We consider an inverse source problem of determining a source term in the Helmholtz equation from multi-frequency far-field measurements. Based on the Fourier series expansion, we develop a novel non-iterative reconstruction method for solving the problem. A promising feature of this method is that it utilizes the data from only a few observation directions for each frequency. Theoretical uniqueness and stability analysis are provided. Numerical experiments are conducted to illustrate the effectiveness and efficiency of the proposed method in both two and three dimensions.

Original languageEnglish
Article number035001
JournalInverse Problems
Issue number3
Publication statusPublished - 1 Feb 2017

Scopus Subject Areas

  • Theoretical Computer Science
  • Signal Processing
  • Mathematical Physics
  • Computer Science Applications
  • Applied Mathematics

User-Defined Keywords

  • far-field
  • Fourier expansion
  • Helmholtz equation
  • inverse source problem
  • multi-frequency


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