arXiv 1306.68742013-06-28math-phmath.MP

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

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

备注：: 27 pages
DOI：: 10.1088/0266-5611/30/2/025002

英文摘要：

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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