Apposition of the topological sensitivity and linear sampling approaches to inverse scattering

Cédric Bellis, Marc Bonnet, Bojan B. Guzina

Research output: Contribution to journalArticlepeer-review

6 Scopus citations

Abstract

The focus of this study is the reconstruction of a penetrable obstacle in an acoustic medium from the knowledge of incident time-harmonic waves and corresponding scattered fields. The problem is investigated by way of two competing approaches: the method of topological sensitivity and that of linear sampling, that have been successfully developed for a variety of physical settings (acoustic, electromagnetic, elastodynamic) as non-iterative tools for solving the inverse scattering problem. On adopting a particular scattering configuration-plane waves impinging on a spherical obstacle-that permits analytical treatment as the testing platform, a parallel is drawn between the two methods to evaluate their relative performance in reconstructing the obstacle from the scattered field data. For completeness, the comparison is made by considering a range of input parameters in terms of material properties of the scatterer, frequency of illuminating waves, and noise in the data.

Original languageEnglish (US)
Pages (from-to)891-908
Number of pages18
JournalWave Motion
Volume50
Issue number5
DOIs
StatePublished - Jul 2013

Keywords

  • Acoustic waves
  • Inverse scattering
  • Linear sampling method
  • Topological sensitivity

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