Reconstruction from blind experimental data for an inverse problem for a hyperbolic equation
Journal article, 2014

We consider the problem of the reconstruction of dielectrics from blind backscattered experimental data. The reconstruction is done from time domain data, as opposed to a more conventional case of frequency domain data. Experimental data were collected using a microwave scattering facility which was built at the University of North Carolina at Charlotte. This system sends electromagnetic pulses into the medium and collects the time-resolved backscattered data on a part of a plane. The spatially distributed dielectric constant epsilon(r)(x), x is an element of 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.

globally convergent numerical method for

GEOPHYSICS

V43

finite element method

P23

OLT RH

coefficient inverse problem (CIP)

1978

Author

Larisa Beilina

Chalmers, Mathematical Sciences, Mathematics

University of Gothenburg

Nguyen Trung Thanh

The University of North Carolina at Charlotte

M. V. Klibanov

The University of North Carolina at Charlotte

M. A. Fiddy

The University of North Carolina at Charlotte

Inverse Problems

0266-5611 (ISSN)

Vol. 30 2 artikel nr 025002-

Subject Categories

Mathematics

DOI

10.1088/0266-5611/30/2/025002

More information

Created

10/7/2017