A Semi-Analytical Method for Synthesis of a Flat-Top Beam Radiation Pattern of Three-Element Antenna Arrays

This article describes a new method for synthesis of a flat-top beam radiation pattern of three-element antenna arrays. Currently, this is the only method that 1) gives a semi-analytical solution, 2) uses a physically rigorous model of an antenna array, and 3) has a simple feasibility condition that allows the existence of a solution to be assessed in advance. The method uses the complex active element pattern, which can be calculated or measured. The shape of the synthesized pattern is defined by the width of the beam and the ripple of its top. The excitation of the radiating elements is calculated using algebraic formulas and a simple iterative procedure. The usefulness of the proposed method has been demonstrated with the help of some examples.