Array Pattern Synthesis Based on Weighted Biorthogonal Modes

Abstract

A novel approach to arbitrary array pattern synthesis utilizing weighted biorthogonal modes is presented in this paper. The algorithm, involving arrays with arbitrary geometry and incorporating mutual coupling effect, can accurately determine element excitations required to yield desired field pattern. The mutual orthogonality of modes is used to ensure the agreement between the desired and computed patterns. The effectiveness of the method is demonstrated with several numerical examples.