GENERALIZED NETWORK PARAMETERS FOR BODIES OF REVOLUTION

Abstract

The problem of electromagnetic radiation and scattering from perfectly conducting bodies of revolution of arbitrary shape is considered. The mathematical formulation is an integro-differential equation, obtained from the potential integrals plus boundary conditions at the body. A solution is effected by the method of moments, and the results are expressed in terms of generalized network parameters. A computer program for computing the generalized impedance matrix of an arbitrary body of revolution is included. The expansion functions chosen for the moment solutions are harmonic in phi (azimuth angle) and subsectional in t (contour length variable). Because of rotational symmetry, the solution becomes a Fourier series in phi, each term of which is uncoupled to every other term. Hence, the problem reduces to a set of independent modes, one for each harmonic term. Illustrative computations are given for radiation from apertures and planewave scattering from bodies of revolution. The impedance elements, currents, radiation patterns, and scattering patterns for a conducting sphere are computed both from the general program and from the classical eigenfunction solution. The agreement obtained serves to check the general program. Similar computations for a cone-sphere illustrate the application of the general program to problems not solvable by classical methods.

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Document Details

Document Type
Technical Report
Publication Date
May 01, 1968
Accession Number
AD0838899

Entities

People

  • Joseph R. Mautz
  • Roger F. Harrington

Organizations

  • Syracuse University

Tags

Communities of Interest

  • Advanced Electronics
  • Air Platforms
  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Air Force
  • Bodies Of Revolution
  • Computer Programs
  • Differential Equations
  • Electric Fields
  • Electromagnetic Radiation
  • Electromagnetic Scattering
  • Fourier Series
  • Geometry
  • Method Of Moments
  • Plane Waves
  • Plastic Explosives
  • Radar Cross Sections
  • Radiation
  • Radiation Patterns
  • Scattering
  • Shape

Readers

  • Calculus or Mathematical Analysis
  • Electromagnetic Wave Scattering and Antenna Radiation Engineering