Static Regime Imaging of Locations of Certain 3D Electromagnetic Imperfections from a Boundary Perturbation Formula
Year: 2014
Journal of Computational Mathematics, Vol. 32 (2014), Iss. 4 : pp. 412–441
Abstract
We are concerned, in a static regime, with an imaging approach of the locations in a three-dimensional bounded domain of certain electromagnetic imperfections. This approach is related to Electrical Impedance Tomography and makes use of a new perturbation formula in the electric fields. We present two localization procedures, from a Current Projection method that deals with the single imperfection context and an inverse Fourier process that is devoted to multiple imperfections configurations. These procedures extend those that were described in our previous work, since operating for a broader class of settings. Namely, the localization is additionally performed for certain purely electric imperfections, as established from numerical simulations.
Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/jcm.1401-m4214
Journal of Computational Mathematics, Vol. 32 (2014), Iss. 4 : pp. 412–441
Published online: 2014-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 30
Keywords: Inverse problems Maxwell equations Electric fields Inhomogeneities Electrical Impedance Tomography Current Projection method FFT Numerical boundary measurements Random noise Edge elements Least square systems Incomplete Modified Gram-Schmidt preconditioning.