Theory of the Dipole Antenna and the Two-Wire Transmission Line

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Abstract
The properties of the dipole antenna are studied by an approximate procedure that makes use of the Wiener‐Hopf integral equation. In particular, the input admittance and the radiation pattern are found. The present results thus supplement the existing theories, which are concerned mostly with short dipoles. The same procedure is then applied to several related problems. First, the back‐scattering cross section of a dipole antenna is found approximately for normal incidence. Secondly, the two‐wire transmission line is studied in detail by considering it to be two coupled dipole antennas. The capacitive end correction for an open end is evaluated, and the radiated power and the radiation resistance are found for a resonant section of transmission line with both ends open. Finally, the dielectric‐coated antenna is considered briefly.