The linear sampling method for cracks

Fioralba Cakoni, David Colton

Research output: Contribution to journalArticlepeer-review

100 Scopus citations

Abstract

We consider the inverse scattering problem of determining the shape of an infinite cylinder having an open arc as cross section from a knowledge of the TM-polarized scattered electromagnetic field corresponding to time-harmonic incident plane waves propagating from arbitrary directions. We assume that the arc is a (possibly) partially coated perfect conductor and develop the linear sampling method, which was originally developed for solving the inverse scattering problem for obstacles with nonempty interior, to include the above case of obstacles with empty interior.

Original languageEnglish (US)
Pages (from-to)279-295
Number of pages17
JournalInverse Problems
Volume19
Issue number2
DOIs
StatePublished - Apr 1 2003
Externally publishedYes

All Science Journal Classification (ASJC) codes

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

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