Reconstruction of the Refractive Index from Experimental Backscattering Data Using a Globally Convergent Inverse Method
Artikel i vetenskaplig tidskrift, 2014

The problem to be studied in this work is within the context of coefficient identification problems for the wave equation. More precisely, we consider the problem of reconstruction of the refractive index (or equivalently, the dielectric constant) of an inhomogeneous medium using one backscattering boundary measurement. The goal of this paper is to analyze the performance of the globally convergent algorithm of Beilina and Klibanov on experimental data collected using a microwave scattering facility at the University of North Carolina at Charlotte. The main challenge in working with experimental data is the huge misfit between these data and computationally simulated data. We present data preprocessing steps to make the former somehow look similar to the latter. Results of both nonblind and blind targets are shown that indicate good reconstructions even for high contrasts between the targets and the background medium.

experimental data

globally convergent algorithm

Mathematics

coefficient identification

data

wave equation

Författare

Nguyen Trung Thanh

The University of North Carolina at Charlotte

Larisa Beilina

Chalmers, Matematiska vetenskaper, Matematik

Göteborgs universitet

M. V. Klibanov

The University of North Carolina at Charlotte

M. A. Fiddy

The University of North Carolina at Charlotte

SIAM Journal of Scientific Computing

1064-8275 (ISSN) 1095-7197 (eISSN)

Vol. 36 B273-B293

Ämneskategorier

Matematik

DOI

10.1137/130924962