On the Convergence of the Iterative Gauss-Seidel-Based Electric Field Algorithm for the Solution of Antenna Array Mutual Coupling

Recently, a new method for the solution of the antenna array mutual coupling (MC), which is based on the field data of an isolated element and relates to the iterative Gauss-Seidel method, has been proposed. In this paper, we study the convergence of the proposed method by comparing it with the convergence of the classical Gauss-Seidel iteration applied to a method-of-moments (MoM) system. Despite several approximations being used in the field-based method, similar behavior between the two methods has been observed, both in terms of the stability and the rate of the convergence.