1306.6874 (Larisa Beilina et al.)

Reconstruction from blind experimental data for an inverse problem for a
hyperbolic equation    [PDF]

Larisa Beilina, Nguyen Trung Thành, Michael V. Klibanov, Michael A. Fiddy

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 $\varepsilon_{r}(\mathbf{x}),\mathbf{x}\in \mathbb{R}^{3}$ 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.

View original: http://arxiv.org/abs/1306.6874