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Volume 31, Issue 5
A Low-Frequency Electromagnetic Near-Field Inverse Problem for a Spherical Scatterer

Nikolaos L. Tsitsas

DOI: 10.4208/jcm.1304-m4388

J. Comp. Math., 31 (2013), pp. 439-448.

Published online: 2013-10

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  • 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.

  • Keywords

Near-field inverse problems, Low-frequency region, Dipoles, Hypergeometric functions.

  • AMS Subject Headings

34L25, 78A46, 78A40, 41A60, 33C05.

  • Copyright

COPYRIGHT: © Global Science Press

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  • TXT
@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 = {

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} }
TY - JOUR T1 - A Low-Frequency Electromagnetic Near-Field Inverse Problem for a Spherical Scatterer AU - Nikolaos L. Tsitsas JO - Journal of Computational Mathematics VL - 5 SP - 439 EP - 448 PY - 2013 DA - 2013/10 SN - 31 DO - http://doi.org/10.4208/jcm.1304-m4388 UR - https://global-sci.org/intro/article_detail/jcm/9746.html KW - Near-field inverse problems, Low-frequency region, Dipoles, Hypergeometric functions. AB -

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.

Nikolaos L. Tsitsas. (2013). A Low-Frequency Electromagnetic Near-Field Inverse Problem for a Spherical Scatterer. Journal of Computational Mathematics. 31 (5). 439-448. doi:10.4208/jcm.1304-m4388
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