A solution of the wave equation is obtained corresponding to an outgoing cylindrical wave between two parallel ground planes, and satisfying the boundary conditions appropriate to a center-fed, full height antenna at the origin. Expressions for the antenna current and impedance are obtained from a small radius approximation to these; formulas are obtained for comparison with those from usual antenna theory. Attention is directed to the expansion parameter and gap capacitance.
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L. Lewin (1959) studied this question.
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