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A finite element boundary element domain decomposition inverse scattering technique

  • Technical University of Munich

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

A three dimensional inverse scattering technique exploiting the equivalence principle is presented. Based on a domain decomposition approach, the inverse scattering problem is divided into two parts by introducing equivalent currents on a surface surrounding the domain of interest. While the first part is a linear inverse source problem, the second part is a nonlinear inverse boundary value problem. A boundary integral method accelerated by the Multilevel Fast Multipole Method is used in order to obtain equivalent surface currents. Once the equivalent surface currents are reconstructed, the inverse problem is reduced to a cavity problem with inhomogeneous boundary condition. As this part is nonlinear, the Gauss-Newton method equipped with a Krylov subspace regularization technique is employed to reconstruct material properties in the domain of interest. In order to see the effectiveness of the proposed technique, it has been tested against real datasets.

Original languageEnglish
Title of host publicationProceedings of the 2015 International Conference on Electromagnetics in Advanced Applications, ICEAA 2015
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages985-988
Number of pages4
ISBN (Electronic)9781479978069
DOIs
StatePublished - 12 Oct 2015
Event17th International Conference on Electromagnetics in Advanced Applications, ICEAA 2015 - Torino, Italy
Duration: 7 Sep 201511 Sep 2015

Publication series

NameProceedings of the 2015 International Conference on Electromagnetics in Advanced Applications, ICEAA 2015

Conference

Conference17th International Conference on Electromagnetics in Advanced Applications, ICEAA 2015
Country/TerritoryItaly
CityTorino
Period7/09/1511/09/15

Keywords

  • Image reconstruction
  • Integral equations
  • Inverse problems
  • Mathematical model
  • Scattering
  • Surface impedance
  • Surface reconstruction

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