A simple solution to the problem of the cylindrical antenna

It is recognized that the variational solution of the cylindrical antenna does not minimize|Z_{in}-Z_{0}|, as implied by Storer; but yields a minimax of the impedance function. Furthermore, the variational solution may be interpreted as simply placing two currents in parallel upon the antenna, following which, the solution for the magnitudes of the currents and for the driving point impedance may be found by elementary circuit analysis. Consequently, a first-order solution by the generalized circuit is found by postulating a linearly-attenuated traveling wave to be superimposed upon the sinusoidal standing wave. The results show excellent correlation with other theoretical and measured results for both the driving point impedance and the current distribution along the antenna.