An analysis of the accuracy of the linear sampling method for an acoustic inverse obstacle scattering problem

Nguyen Trung Thánh, Mourad Sini

Research output: Contribution to journalArticlepeer-review

12 Scopus citations

Abstract

We investigate the accuracy of the linear sampling method for a two-dimensional acoustic inverse obstacle scattering problem with a Dirichlet boundary condition using asymptotic analysis of the so-called indicator function around the boundary of the obstacle. An asymptotic expansion of the limit, as the noise level and the regularization parameter tend to zero, of the indicator function is obtained. The theoretical results show the dependence of the blowup rate of this limit on the geometrical properties of the obstacle. This partly (up to the above limit) explains the dependence of the accuracy of the linear sampling method on the obstacle's geometry. Some numerical results are given to verify the theoretical results.

Original languageEnglish (US)
Article number015010
JournalInverse Problems
Volume26
Issue number1
DOIs
StatePublished - Jan 28 2010
Externally publishedYes

All Science Journal Classification (ASJC) codes

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

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