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 language | English |
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Title of host publication | Application of Mathematics in Technical and Natural Sciences |
Subtitle of host publication | 7th International Conference for Promoting the Application of Mathematics in Technical and Natural Sciences, AMiTaNS 2015 |
Publisher | American Institute of Physics Inc. |
Volume | 1684 |
ISBN (Electronic) | 9780735413313 |
DOIs | |
Publication status | Published - 28 Oct 2015 |
Event | 7th International Conference for Promoting the Application of Mathematics in Technical and Natural Sciences, AMiTaNS 2015 - Albena, Bulgaria Duration: 28 Jun 2015 → 3 Jul 2015 |
Other
Other | 7th International Conference for Promoting the Application of Mathematics in Technical and Natural Sciences, AMiTaNS 2015 |
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Country/Territory | Bulgaria |
City | Albena |
Period | 28/06/15 → 3/07/15 |