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View File - University of Engineering and Technology, Taxila

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Two kinds <strong>of</strong> horns in common use are the pyramidal <strong>and</strong> conical. Ahorn’s interior surfaces can be smooth or corrugated, depending on polarizationrequirements. Pyramidal horns are easily designed <strong>and</strong> <strong>of</strong>ten used forearth coverage antennas because <strong>of</strong> their symmetrical radiation properties. Thefollowing equations are applicable to pyramidal horns, whose length is longcompared to a wavelength, l:G ¼ log Z 4p AB dBi ð2:38Þ2lwhere G is the gain <strong>and</strong> Z is the pyramidal horn’s efficiency, typically 50%.3-dB beamwidth in E-plane: y E ¼ 54 l Bdegð2:39Þ3-dB beamwidth in H-plane: y H ¼ 78 l Adegð2:40ÞIf it is necessary to have the shortest length possible, then by scalinga bL 1 ¼ L 12A 2BThe gain <strong>of</strong> the conical horn can be written asG ¼ 2 1:41 10 log D dBilð2:41Þð2:42ÞIf the aperture is uniformly illuminated, the 3-dB beamwidth <strong>of</strong> a conicalhorn can be approximated to the 3-dB <strong>of</strong> a circular aperture <strong>of</strong> equivalentillumination:y BW 58 l Ddegð2:43ÞThe advantage <strong>of</strong> using conical horns is the ability to exploit higher-modepropagation.Another variation <strong>of</strong> the horn feed <strong>of</strong>ten used in primary feeds,particularly for big earth stations, is a hybrid-mode horn. When annularcorrugations are placed on the inner wall <strong>of</strong> a circular waveguide, a hybridmodehorn is formed. If the annular corrugations are placed in such a way thatneither TE (transverse electric) or TM (transverse magnetic) modes can bepropagated, then a hybrid mode is generated. The hybrid-mode horn antennascan be used to achieve axially symmetric beamwidths <strong>and</strong> to improve crosspolarization <strong>and</strong> sidelobe performance.Copyright © 2002 by Marcel Dekker, Inc. All Rights Reserved.

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