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Imaging acoustic obstacles by hypersingular point sources

by J. Li and H. Liu and H. Sun and J. Zou

(Report number 2011-40)

Abstract
We investigate a qualitative method for imaging acoustic obstacles in two and three dimensions by boundary measurements. The imaging scheme makes use of the hypersingular point sources. Rigorous mathematical justification of the imaging method is established, and numerical experiments are presented to illustrate the effectiveness of the proposed imaging scheme.

Keywords:

@Techreport{LLSZ11_133,
  author = {J. Li and H. Liu and H. Sun and J. Zou},
  title = {Imaging acoustic obstacles by hypersingular point sources},
  institution = {Seminar for Applied Mathematics, ETH Z{\"u}rich},
  number = {2011-40},
  address = {Switzerland},
  url = {https://www.sam.math.ethz.ch/sam_reports/reports_final/reports2011/2011-40.pdf },
  year = {2011}
}

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