@Article{JCM-31-439, author = {}, 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 = {

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's location. Then, we utilize this derived approximation in the development of a simple inverse medium scattering algorithm determining the sphere'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.

}, issn = {1991-7139}, doi = {https://doi.org/10.4208/jcm.1304-m4388}, url = {http://global-sci.org/intro/article_detail/jcm/9746.html} }