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Article

Asymptotic Evaluation of the Edge Diffraction in Cylindric Paraboloidal Reflector Antennas

Uludağ University, Faculty of Engineering & Architecture, Department of Electronics, 16059, Bursa, Turkey
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Authors to whom correspondence should be addressed.
Math. Comput. Appl. 2003, 8(2), 143-150; https://doi.org/10.3390/mca8020143
Published: 1 August 2003

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 ρρ0. 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 Edge diffraction; Asymptotic Evaluation; parabolic reflector antenna; Fresnel integral

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MDPI and ACS Style

Umul, Y.Z.; Yalçin, U. Asymptotic Evaluation of the Edge Diffraction in Cylindric Paraboloidal Reflector Antennas. Math. Comput. Appl. 2003, 8, 143-150. https://doi.org/10.3390/mca8020143

AMA Style

Umul YZ, Yalçin U. Asymptotic Evaluation of the Edge Diffraction in Cylindric Paraboloidal Reflector Antennas. Mathematical and Computational Applications. 2003; 8(2):143-150. https://doi.org/10.3390/mca8020143

Chicago/Turabian Style

Umul, Y. Zyra, and U. Yalçin. 2003. "Asymptotic Evaluation of the Edge Diffraction in Cylindric Paraboloidal Reflector Antennas" Mathematical and Computational Applications 8, no. 2: 143-150. https://doi.org/10.3390/mca8020143

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