Numerical Reconstruction of Small Perturbations in the Electromagnetic Coefficients of a Dielectric Material
Year: 2014
Journal of Computational Mathematics, Vol. 32 (2014), Iss. 1 : pp. 21–38
Abstract
The aim of this paper is to solve numerically the inverse problem of reconstructing small amplitude perturbations in the magnetic permeability of a dielectric material from partial or total dynamic boundary measurements. Our numerical algorithm is based on the resolution of the time-dependent Maxwell equations, an exact controllability method and Fourier inversion for localizing the perturbations. Two-dimensional numerical experiments illustrate the performance of the reconstruction method for different configurations even in the case of limited-view data.
Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/jcm.1309-m4378
Journal of Computational Mathematics, Vol. 32 (2014), Iss. 1 : pp. 21–38
Published online: 2014-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 18
Keywords: Maxwell's equations Inverse problems Numerical reconstruction Exact boundary controllability Fourier inversion.