THE RADIATION OF A HERTZIAN DIPOLE OVER A COATED CONDUCTOR

Abstract

An analysis is presented for the idealized problems of (a) an infinitesimal Hertzian dipole in and over a perfect dielectric coating a perfect conductor and (b) an Abraham dipole lying on the conductor. Unintegrated forms of the Hertz potentials are obtained for both electric and magnetic dipoles. Integrated far-zone forms of the potentials and fields are obtained for electric dipoles by means of asymptotic integrations. Far-zone radiation patterns are given in order to indicate the distortions of the fields and the magnitudes of the residue caused by the dielectric coatings. A proof is presented that the power radiated by the dipole may be divided into 2 independent quantities: the power fed to radiation type and that fed to surface of guided type fields. For certain cases numerical results are given for the total power radiated and the relative powers fed to the 2 types of fields. Formulas are derived and illustrated with numerical examples of the radiation resistance of the dipoles and the attenuation constants of the surface modes from finite conductivity of the ground plane.

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Document Details

Document Type
Technical Report
Publication Date
May 10, 1953
Accession Number
AD0016104

Entities

People

  • Donald B. Brick

Organizations

  • Harvard University

Tags

Communities of Interest

  • Advanced Electronics

DTIC Thesaurus Topics

  • Cylindrical Antennas
  • Differential Equations
  • Diffraction
  • Electromagnetic Fields
  • Electromagnetic Radiation
  • Electromagnetic Scattering
  • Equations
  • Magnetic Dipoles
  • Military Research
  • Navy
  • New York
  • Radiation
  • Radiation Patterns
  • Radiation Resistance
  • Transmission Lines
  • Two Dimensional
  • Wave Propagation

Fields of Study

  • Physics

Readers

  • Calculus or Mathematical Analysis
  • Plasma Physics / Magnetohydrodynamics
  • Plasma Physics.