Extending Spectral Factorization to Array Pattern Synthesis Including Sparseness, Mutual Coupling, and Mounting-Platform Effects

With reference to the mask-constrained power synthesis of shaped beams, we extend the spectral factorization method to both uniformly and nonuniformly spaced linear arrays wherein mutual coupling and mounting-platform effects are present. The overall design procedure does not rely on any restriction on the nature and the shape of the fields, and it is cast as a couple of convex optimizations plus a polynomial factorization. Moreover, it allows one to ascertain the actual feasibility of the radiating system before performing the synthesis, and it is able to identify very many different array-excitation solutions all corresponding to the desired power pattern. The given theory is supported by numerical experiments concerning the full-wave synthesis of realistic arrays affected by mutual coupling and mounting-platform effects.