Analysis and Element Pattern Design of Periodic Arrays of Circular Apertures on Conducting Cylinders

Abstract

The analysis and the design of the elements of a large array of circular apertures on a triangular grid is approached by modeling the antenna as an infinite structure rotationally symmetric and periodic along the cylinder axis. Because of this particular symmetry every possible excitation is the superposition, with suitable weights, of a set of fundamental excitations having uniform magnitude and linear phase progression in the azimuthal direction and in the direction of the cylinder axis ('eigenexcitations'). Thus, by invoking superposition the electromagnetic analysis of the array is reduced to the solutions of the simpler boundary value problems pertinent to the set of eigenexcitations. This is done by expanding the field in normal modes in the region exterior to the cylinder and in the waveguides feeding the apertures, followed by a field matching at the cylinder surface (obtained approximately through Galerkin's method). The realized gain pattern of the radiators can be modified to a considerable extent by using an 'element pattern shaping network' (in the radiator waveguides), serving the purpose of matching the array for a selected eigenexcitation. Criteria for the network design are given. A series of numerical examples illustrates the technique and shows that a 'flat' element pattern can be thus obtained with a gain fall off with respect to the peak of less than 6 db at 80 degrees.

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Document Details

Document Type
Technical Report
Publication Date
Nov 01, 1970
Accession Number
AD0717199

Entities

People

  • Giorgio V. Borgiotti
  • Quirino Balzano

Organizations

  • RTX

Tags

Communities of Interest

  • Advanced Electronics
  • Air Platforms
  • Energy and Power Technologies
  • Space

DTIC Thesaurus Topics

  • Air Force
  • Bessel Functions
  • Boundaries
  • Boundary Value Problems
  • Circular Polarization
  • Computational Science
  • Department Of Defense
  • Electric Fields
  • Electromagnetic Fields
  • Equations
  • Excitation
  • Far Field
  • Geometry
  • Magnetic Fields
  • Polarization
  • Transmission Lines
  • Waveguides

Fields of Study

  • Physics

Readers

  • Applied Combinatorial Optimization and Logic Circuit Design.
  • Electromagnetic Wave Scattering and Antenna Radiation Engineering