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Recent developments in the qualitative approach to inverse electromagnetic scattering theory

Research output: Contribution to journalArticlepeer-review

Abstract

We consider the inverse scattering problem of determining both the shape and some of the physical properties of the scattering object from a knowledge of the (measured) electric and magnetic fields due to the scattering of an incident time-harmonic electromagnetic wave at fixed frequency. We shall discuss the linear sampling method for solving the inverse scattering problem which does not require any a priori knowledge of the geometry and the physical properties of the scatterer. Included in our discussion is the case of partially coated objects and inhomogeneous background. We give references for numerical examples for each problem discussed in this paper.

Original languageEnglish (US)
Pages (from-to)242-255
Number of pages14
JournalJournal of Computational and Applied Mathematics
Volume204
Issue number2 SPEC. ISS.
DOIs
StatePublished - Jul 15 2007
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Computational Mathematics
  • Applied Mathematics

Keywords

  • Electromagnetic inverse scattering
  • Inverse scattering problem
  • Linear sampling method
  • Mixed boundary value problem

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