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Reconstruction of the Refractive Index from Experimental Backscattering Data Using a Globally Convergent Inverse Method

Författare och institution:
N. T. Thanh (-); Larisa Beilina (Institutionen för matematiska vetenskaper, matematik, Chalmers/GU); M. V. Klibanov (-); M. A. Fiddy (-)
Publicerad i:
Siam Journal on Scientific Computing, 36 ( 3 ) s. B273-B293
ISSN:
1064-8275
Publikationstyp:
Artikel, refereegranskad vetenskaplig
Publiceringsår:
2014
Språk:
engelska
Fulltextlänk:
Fulltextlänk (lokalt arkiv):
Sammanfattning (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.
Ämne (baseras på Högskoleverkets indelning av forskningsämnen):
NATURVETENSKAP ->
Matematik
Nyckelord:
coefficient identification, wave equation, globally convergent algorithm, experimental data, data, Mathematics
Ytterligare information:
Preprint available at: http://arxiv.org/abs/1306.3150v1
Postens nummer:
201257
Posten skapad:
2014-08-12 13:01
Posten ändrad:
2016-06-27 14:35

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