Abstract
Recent theoretical work by Storer, concerning the impedance of a vertical antenna in contact with a circular metal disk, is extended to include the case when the system is laid upon an imperfectly conducting plane earth. The expression for the impedance of the antenna is cast into a form which is stationary with respect to small variations (about the true value) of the unknown radial electric field over the surface of the earth. Numerical results are given for the case when the ground plate is sufficiently large as compared to the wave length of the radiation; the effect of variations in dielectric constant of the earth upon the impedance is shown. These calculations are compared to those obtained from the approximate theory of Monteath.A second variational formula for the antenna impedance is developed in terms of surface currents flowing in the metal ground plate. The application of this method becomes useful when the ground plate is not too large in comparison with the wave length.
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