@Article{JCM-31-439,
author = {Nikolaos L. Tsitsas},
title = {A Low-Frequency Electromagnetic Near-Field Inverse Problem for a Spherical Scatterer},
journal = {Journal of Computational Mathematics},
year = {2013},
volume = {31},
number = {5},
pages = {439--448},
abstract = {<p style="text-align: justify;">The interior low-frequency electromagnetic dipole excitation of a dielectric sphere is utilized as a simplified but realistic model in various biomedical applications. Motivated by these considerations, in this paper, we investigate analytically a near-field inverse scattering problem for the electromagnetic interior dipole excitation of a dielectric sphere. First, we obtain, under the low-frequency assumption, a closed-form approximation of the series of the secondary electric field at the dipole&#39;s location. Then, we utilize this derived approximation in the development of a simple inverse medium scattering algorithm determining the sphere&#39;s dielectric permittivity. Finally, we present numerical results for a human head model, which demonstrate the accurate determination of the complex permittivity by the developed algorithm.</p>},
issn = {1991-7139},
doi = {https://doi.org/10.4208/jcm.1304-m4388},
url = {http://global-sci.org/intro/article_detail/jcm/9746.html}
}