Identifying multipolar acoustic sources by the direct sampling method. Issue 5 (3rd April 2020)

• Record Type: Journal Article
• Authors: Bousba, Sara; Guo, Yukun; Wang, Xianchao; Li, Longsuo
• Is Part Of: Applicable analysis. Volume 99:Issue 5(2020)
• Page Start: 856
• Page End: 879
• Publication Date: 2020-04-03
• Subjects: Bo Zhang; Inverse source problem -- Helmholtz equation -- direct sampling method -- single frequency -- far-field; 65N21 -- 65M32 -- 49N45; Mathematical analysis -- Periodicals; 515
• DOI: 10.1080/00036811.2018.1514019
• Languages: English
• ISSNs: 0003-6811

Abstract

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.