problems of horn antenna - bu.edu.eg shoubra/electrical... · design a pyramidal horn antenna with...
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PYRAMIDALHorn
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Design of Pyramidal horn antenna
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Design Procedure
• To design a pyramidal horn, one usually knows the desired gain G0 and the dimensions a, b of the rectangular feed waveguide.
• The objective of the design is to determine the remaining dimensions (a1, b1, ρe, ρh, Pe, and Ph) that will lead to an optimum gain.
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The design equations are derived by firsts electing values of a1 and b1that lead to optimum directivities for the E- and H-plane sectoral horns.
Since the overall efficiency (including both the antenna and aperture efficiencies) of a horn antenna is about 50% .the gain of the antenna can be related to its physical area.Thus it can be written by
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since for long horns ρ2 ≈ ρh and ρ1 ≈ ρe. For a pyramidal horn to be physically realizable, Pe and Phmust be equal. Using this equality, it can be shown that gain reduces to
This Equation is the horn-design equation .
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1. As a first step of the design, find the value of χ which satisfies (13-56) for a desired gain G0 (dimensionless). Use an iterative technique and begin with a trial value of
2. Once the correct χ has been found, determine ρe and ρhusing (13-56a) and (13-56b) respectively.
3. Find the corresponding values of a1 and b1.
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Problems of horn antenna
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