Reconstruction of the refractive index from experimental backscattering data using a globally convergent inverse method

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

Research output: Contribution to journalArticlepeer-review

39 Scopus citations

Abstract

The problem to be studied in this work is within the context of coefficient identification problems for the wave equation. More precisely, we consider the problem of reconstruction of the refractive index (or equivalently, the dielectric constant) of an inhomogeneous medium using one backscattering boundary measurement. The goal of this paper is to analyze the performance of the globally convergent algorithm of Beilina and Klibanov on experimental data collected using a microwave scattering facility at the University of North Carolina at Charlotte. The main challenge in working with experimental data is the huge misfit between these data and computationally simulated data. We present data preprocessing steps to make the former somehow look similar to the latter. Results of both nonblind and blind targets are shown that indicate good reconstructions even for high contrasts between the targets and the background medium.

Original languageEnglish (US)
Pages (from-to)B273-B293
JournalSIAM Journal on Scientific Computing
Volume36
Issue number3
DOIs
StatePublished - 2014
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Computational Mathematics
  • Applied Mathematics

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