Methods of quantitative reconstruction of shapes and refractive indices from experimental data
Paper in proceedings, 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.

Author

Larisa Beilina

Chalmers, Mathematical Sciences, Mathematics

University of Gothenburg

Nguyen Trung Thành

The University of North Carolina at Charlotte

Michael V. Klibanov

The University of North Carolina at Charlotte

John Bondestam Malmberg

Chalmers, Mathematical Sciences, Mathematics

University of Gothenburg

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

Subject Categories

Mathematics

Roots

Basic sciences

DOI

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

ISBN

978-3-319-12498-8

More information

Created

10/7/2017