Reconstruction from blind experimental data for an inverse problem for a hyperbolic equation

Larisa Beilina, Nguyen Trung Thành, Michael V. Klibanov, Michael A. Fiddy

Research output: Contribution to journalArticlepeer-review

27 Scopus citations

Abstract

We consider the problem of the reconstruction of dielectrics from blind backscattered experimental data. The reconstruction is done from time domain data, as opposed to a more conventional case of frequency domain data. Experimental data were collected using a microwave scattering facility which was built at the University of North Carolina at Charlotte. This system sends electromagnetic pulses into the medium and collects the time-resolved backscattered data on a part of a plane. The spatially distributed dielectric constant εr (x), x ∈ ℝ3 is the unknown coefficient of a wave-like PDE. This coefficient is reconstructed from those data in blind cases. To do this, a globally convergent numerical method is used.

Original languageEnglish (US)
Article number025002
JournalInverse Problems
Volume30
Issue number2
DOIs
StatePublished - Feb 2014
Externally publishedYes

All Science Journal Classification (ASJC) codes

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

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