Monday, July 1, 2013

1306.6874 (Larisa Beilina et al.)

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

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.
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