A new design method for optimum gain pyramidal horns

A new, very simple expression for the wide aperture dimension of the horn is presented and used in the optimum-gain pyramidal horn design. The design parameters are determined from the simple and explicit formulas. These formulas do not need the application of the iterative methods and are not restricted to the high-gain horn designs. The gain of a designed pyramidal horn is computed with no path length error approximation. Several design examples are given that illustrate the performance of the proposed design method. This proposed design method is useful for microwave antenna designers and the computer aided design (CAD) of optimum-gain pyramidal horns.