ABSTRACT
This paper concerns the direct sampling method for solving the inverse problem of identifying point sources for the Helmholtz equation from far-field data. We develop some novel indicator functions which could determine the locations and intensities of the target multipolar sources with a single wavenumber. Theoretically, the indicating behaviors are rigorously analyzed. Two- and three-dimensional numerical experiments are conducted to illustrate the effectiveness and robustness of the proposed approach.
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Acknowledgements
The authors would also like to thank the anonymous referees for their constructive comments and suggestions on improving the quality of this paper.
Disclosure statement
No potential conflict of interest was reported by the authors.
ORCID
Yukun Guo http://orcid.org/0000-0003-4477-7666