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

Thanh Nguyen, Mourad Sini

Research output: Contribution to journalArticle

11 Citations (Scopus)

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

Fingerprint

Obstacle Problem
Sampling Methods
Scattering Problems
Indicator function
Acoustics
Scattering
Sampling
Asymptotic analysis
Blow-up Rate
Regularization Parameter
Boundary conditions
Asymptotic Analysis
Dirichlet Boundary Conditions
Asymptotic Expansion
Geometry
Tend
Verify
Numerical Results
Zero

All Science Journal Classification (ASJC) codes

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

Cite this

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An analysis of the accuracy of the linear sampling method for an acoustic inverse obstacle scattering problem. / Nguyen, Thanh; Sini, Mourad.

In: Inverse Problems, Vol. 26, No. 1, 015010, 28.01.2010.

Research output: Contribution to journalArticle

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