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Reconstruction of t...
Reconstruction of the Refractive Index from Experimental Backscattering Data Using a Globally Convergent Inverse Method
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- Thanh, N. T. (author)
- The University of North Carolina at Charlotte
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- Beilina, Larisa, 1970 (author)
- Gothenburg University,Göteborgs universitet,Institutionen för matematiska vetenskaper, matematik,Department of Mathematical Sciences, Mathematics,Chalmers tekniska högskola,Chalmers University of Technology,University of Gothenburg
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- Klibanov, M. V. (author)
- The University of North Carolina at Charlotte
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- Fiddy, M. A. (author)
- The University of North Carolina at Charlotte
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(creator_code:org_t)
- Society for Industrial & Applied Mathematics (SIAM), 2014
- 2014
- English.
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In: Siam Journal on Scientific Computing. - : Society for Industrial & Applied Mathematics (SIAM). - 1064-8275 .- 1095-7197. ; 36:3
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Abstract
Subject headings
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- 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.
Subject headings
- NATURVETENSKAP -- Matematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics (hsv//eng)
Keyword
- coefficient identification
- wave equation
- globally convergent algorithm
- experimental data
- data
- Mathematics
- experimental data
Publication and Content Type
- ref (subject category)
- art (subject category)
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