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 . 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  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  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.