Abstract
Simple, closed-form expressions have been derived for the propagation constants and currents for a two-conductor transmission line over earth with a single shield wire centered above it and periodically grounded through an impedance. Each conductor is driven by a voltage source at $\mathrm{z}=$ 0. The expressions are valid as long as all transverse dimensions are small compared to a free-space wavelength, are in agreement with the known low-frequency expressions, and can be used to establish the validity of low-frequency expressions. In addition, well-known microwave phenomena, such as stop and pass bands, have been identified at frequencies as low as 500 kHz.
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