Asymptotic Evaluation of the Edge Diffraction in Cylindric Paraboloidal Reflector Antennas

Y. Zyra Umul; U. Yalçin

doi:10.3390/mca8020143

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Article

1 August 2003

Asymptotic Evaluation of the Edge Diffraction in Cylindric Paraboloidal Reflector Antennas

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Uludağ University, Faculty of Engineering & Architecture, Department of Electronics, 16059, Bursa, Turkey

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Math. Comput. Appl.2003, 8(2), 143-150;https://doi.org/10.3390/mca8020143

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Abstract

Diffraction fields on the edge of a cylindrical parabolic reflector antenna are examined. Firstly canonical problem is defined for the edge of the antenna and study is reduced to a half plane scattering problem. Coordinate system is defined as the origin being the edge of the reflector, so the feed became offset. Space is divided into two parts according to p and edge diffracted fields are calculated for the region where ρ ≤ ρ₀. Obtained poorly divergent series are changed into complex integrals for k→∞ and these integrals are solved in the same conditions. Uniform expression of edge diffracted field is calculated by using Fresnel integrals.

Keywords:

Edge diffraction; Asymptotic Evaluation; parabolic reflector antenna; Fresnel integral

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