THE INTEGRAL EQUATION FOR THE CURRENT IN A THICK TUBULAR ANTENNA

Abstract

The conventional integral equation for the current in a cylindrical antenna is not correct for a tubular antenna when driven by an emf maintained in a narrow circumferential region along its outside surface. The basic electromagnetic theory of the doubly-connected region represented by such an antenna is reviewed. It is shown that the scalar potential and the normal derivative of the vector potential must be discontinuous across the air cylinder within the tube and that this discontinuity contributes an additional term to the integral equation. This term is negligible for electrically thin antennas but of major importance in determining the current and admittance for antennas that are electrically thick.

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Document Details

Document Type
Technical Report
Publication Date
May 01, 1966
Accession Number
AD0637990

Entities

People

  • Ronald W. King
  • Tai T. Wu

Organizations

  • Harvard University

Tags

Communities of Interest

  • Advanced Electronics
  • Weapons Technologies

DTIC Thesaurus Topics

  • Abstracts
  • Boundaries
  • Boundary Value Problems
  • Contracts
  • Cylindrical Antennas
  • Delta Functions
  • Differential Equations
  • Electromagnetic Fields
  • Electromagnetism
  • Equations
  • Generators
  • Integral Equations
  • Magnetic Fields
  • Military Research
  • Physics
  • Radiation
  • Transmission Lines

Readers

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