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2015 | OriginalPaper | Buchkapitel

Methods of Quantitative Reconstruction of Shapes and Refractive Indices from Experimental data

verfasst von : Larisa Beilina, Nguyen Trung Thành, Michael V. Klibanov, John Bondestam Malmberg

Erschienen in: Inverse Problems and Applications

Verlag: Springer International Publishing

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Abstract

In this chapter we summarize results of [5, 6, 14] and present new results of reconstruction of refractive indices and shapes of objects placed in the air from blind backscattered experimental data using two-stage numerical procedure of [4]. Data are collected using a microwave scattering facility which was built at the University of North Carolina at Charlotte.
On the first stage the approximately globally convergent method of [4] is applied to get a good first approximation for the exact solution. Results of this stage are presented in [5, 14]. On the second stage the local adaptive finite element method of [1] is applied to refine the solution obtained on the first stage. In this chapter we briefly describe methods and present new results for both stages.

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Metadaten
Titel
Methods of Quantitative Reconstruction of Shapes and Refractive Indices from Experimental data
verfasst von
Larisa Beilina
Nguyen Trung Thành
Michael V. Klibanov
John Bondestam Malmberg
Copyright-Jahr
2015
DOI
https://doi.org/10.1007/978-3-319-12499-5_2