Closed-form near-field expressions for electromagnetic scattering by an electrically small circular aperture on a conducting screen

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Abstract

Closed-form expressions were derived for the near-zone scattered fields caused by an obliquely incident plane wave of arbitrary polarization on a sub-wavelength circular aperture on an infinite conducting screen with an infinitesimal thickness. The analysis is based on a quasi-static model of the governing fields in the aperture which was published in the mid 40's by Bethe and improved by Bouwkamp a few years later by incorporating additional terms. Starting with first-order analytical expressions for the magnetic surface current density in the aperture, the scattering problem was formulated using the vector potential F→, the equivalence principle, and the image theory resulting in surface integrals over the aperture which involve the free-space Green's function. Using valid approximations for the near-zone field formulation, closed-form analytical expressions were derived for the corresponding scattered fields along the axis of the aperture. Obtained results based on these closed-form expressions were compared with published data obtained using the spectral-domain method indicating a very good agreement.

Original languageEnglish
Title of host publicationApplication of Mathematics in Technical and Natural Sciences
Subtitle of host publication7th International Conference for Promoting the Application of Mathematics in Technical and Natural Sciences, AMiTaNS 2015
PublisherAmerican Institute of Physics Inc.
Volume1684
ISBN (Electronic)9780735413313
DOIs
Publication statusPublished - 28 Oct 2015
Event7th International Conference for Promoting the Application of Mathematics in Technical and Natural Sciences, AMiTaNS 2015 - Albena, Bulgaria
Duration: 28 Jun 20153 Jul 2015

Other

Other7th International Conference for Promoting the Application of Mathematics in Technical and Natural Sciences, AMiTaNS 2015
Country/TerritoryBulgaria
CityAlbena
Period28/06/153/07/15

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