The problem of determining the impedance at the base of a thin wire antenna erected vertically above the center of a circular disc above the surface of a horizontal ground plane is considered in detail. The general problem is formulated in terms of a set of dual integral equations for the weighting function of the radial component of the electric field in the plane of the disk. The integral equations are solved for the case of the antenna in free space by reducing the equations to an infinite array of simultaneous algebraic equations and using an iterative technique to compute the coefficients of the weighting function. The general problem is then formulated in terms of the known solution in free space and the reflection coefficient subject to the secondary reflection from the disc being small. Solutions for the case of this antenna in free space and for relative large earth-disc separations have been developed for the impedance and numerical results have been obtained for special cases. The general problem of determining the effect of the horizontal ground plane on the antenna is formulated and discussed in terms of the assumption necessary to obtain a solution. (Author)
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