Theory of double parasitic loop counterpoise antenna radiation patterns

Concepts of ray optics and the results of Sommerfeld's half-plane diffraction theory are applied to obtain theoretical expressions for the elevation plane radiation field produced by double parasitic loop counterpoise antennas. Theoretical results are compared with results obtained from model measurements. Within the range of approximation the agreement between theory and experiment has been found to be satisfactory. A method of designing the antenna for special application to air traffic control systems is also discussed briefly.