We consider the problem of reconstruction of dielectrics from blind backscattered experimental data. Experimental data were collected by a device, which was built at University of North Carolina at Charlotte. This device sends electrical pulses into the medium and collects the time resolved backscattered data on a part of a plane. The spatially distributed dielectric constant εr(x),x∈R3 is the unknown coefficient of a wave-like PDE. This coefficient is reconstructed from those data in blind cases. To do this, a globally convergent numerical method is used.
Cite
@article{arxiv.1306.6874,
title = {Reconstruction from blind experimental data for an inverse problem for a hyperbolic equation},
author = {Larisa Beilina and Nguyen Trung Thành and Michael V. Klibanov and Michael A. Fiddy},
journal= {arXiv preprint arXiv:1306.6874},
year = {2015}
}