ANALYSIS OF A CIRCULAR ARRAY OF ANTENNAS BY MATRIX METHODS.

Abstract

The problem of determining the current distribution along four metallic cylinders forming a circular array is treated as a boundary-value problem. The array has rotational symmetry about its center and there is image symmetry about a plane through the mid-section of each cylinder. The mathematical formulation involves an integro-differential equation derived from the Maxwell's equations plus the boundary conditions at the surfaces of the cylinders. The solution is obtained by the method of moments and the resulting matrix equation is expressed in terms of generalized network parameters. The solution for the currents is then used to find the admittance and impedance parameters describing the array considered as a four-port network. Excitations are found which optimize either the array directive gain or its power gain. A synthesis procedure is described by which the far-zone electric field intensity is constrained to assume desired values in a number of directions equal to the number of independent array excitations. Examples are included showing that the synthesis procedure is effective in reducing the levels of the sidelobes in a given pattern. Throughout this report numerical results are compared with experiment and with solutions obtained by other theoretical methods. (Author)

Document Details

Document Type
Technical Report
Publication Date
Feb 01, 1969
Accession Number
AD0694046

Entities

People

  • Jules A. Cummins

Organizations

  • SRC Inc.

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Antennas
  • Boundaries
  • Boundary Value Problems
  • Differential Equations
  • Directives
  • Electric Fields
  • Equations
  • Excitation
  • Gain
  • Impedance
  • Intensity
  • Mathematics
  • Method Of Moments
  • Power Gain
  • Symmetry

Readers

  • Electromagnetic Wave Scattering and Antenna Radiation Engineering
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Phased Array Antenna Design.