Accuracy of the linear sampling method for inverse obstacle scattering: Effect of geometrical and physical parameters

Thanh Nguyen, Mourad Sini

Research output: Contribution to journalArticlepeer-review

7 Scopus citations

Abstract

This paper investigates the effect of the geometry and the impedance of an obstacle on the accuracy of the linear sampling method for a two-dimensional acoustic inverse obstacle scattering problem with an impedance boundary condition. Our theoretical results show the dependence of the blowup rate of the so-called indicator function of the linear sampling method on these parameters. These results are obtained using asymptotic expansions near the obstacle boundary of the solution to an interior problem. In design problems, we propose, based on the above dependence, a surface coating procedure for improving or destroying the reconstruction accuracy. Numerical examples are given to illustrate the theoretical results.

Original languageEnglish (US)
Article number125004
JournalInverse Problems
Volume26
Issue number12
DOIs
StatePublished - Dec 10 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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