Methods of quantitative reconstruction of shapes and refractive indices from experimental data
Paper i proceeding, 2015

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.

Författare

Larisa Beilina

Chalmers, Matematiska vetenskaper, Matematik

Göteborgs universitet

Nguyen Trung Thành

The University of North Carolina at Charlotte

Michael V. Klibanov

The University of North Carolina at Charlotte

John Bondestam Malmberg

Chalmers, Matematiska vetenskaper, Matematik

Göteborgs universitet

Inverse Problems and Applications; (papers from: 3rd Annual Workshop on Inverse Problems, 2013; Stockholm; Sweden; 2 - 6 May 2013); (Proceedings in Mathematics & Statistics)

2194-1017 (eISSN)

Vol. 120 13-41

Ämneskategorier

Matematik

Fundament

Grundläggande vetenskaper

DOI

10.1007/978-3-319-12499-5_2

ISBN

978-3-319-12498-8

Mer information

Skapat

2017-10-07