On the Geometry Synthesis of Arrays With a Given Excitation by the Orthogonal Method

A geometry synthesis procedure for arrays by the help of the orthogonal method (OM) is given in the work at hand. We start from an initial array with a given excitation and we perturb the element positions by combining an iterative technique with the OM. The final position of the elements is found from the last iteration where the desired approximation of the pattern is obtained. It is noticed that our formulation does not give always a successful outcome, since the search can be trapped in a local minimum. Thus, the successful issue comes from a suitable selection of the initial array. Cases with uniformly excited arrays or arrays with less number of excitations than the number of the elements are studied. Several examples for different cases will be presented and will show the applicability of the method.