On the design of Chebyshev endfire arrays subject to a performance index

Abstract

A numerical method for the optimization of Chebyshev endfire antenna arrays, under a nonlinear constraint, is presented. Starting from a set of initial parameters (number of elements, equidistance, side lobe level, half-power beamwidth) we proceed to the design procedure subject to a desired value of a performance index. The method is based on the least squares technique where the constraint is applied through a Lagrangian multiplier. The resulting Chebyshev-like pattern fulfills the constraint whereas it loses the initial characteristic of equal side lobes. The presented method is applied for radiation efficiency and quality factor indices and gives remarkable results for different Chebyshev arrays.