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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