Simple design equations for omnidirectional axis‐displaced dual‐reflector antennas

This paper considers the use of dual‐reflector antennas for omnidirectional coverage. The reflectors are axially symmetric surfaces generated by axis‐displaced conic sections. By using geometrical optics (GO) principles, simple design equations for the different configurations are established. The simple equations allow an easy identification of the relevant features of the different dual‐reflector configurations. The design parameters are explored to provide compact arrangements suited for use at base stations of point‐to‐multi‐point radio links. The design for maximum efficiency is obtained by employing a combination of GO fields and an aperture method to evaluate the antenna‐radiation patterns. Numerical simulations based on the method of moments (MoM) are presented to illustrate the usefulness and advantages of the proposed dual‐reflector antennas.