Efficient Modeling of Radiation and Scattering for a Large Array of Loops

A computationally efficient technique, based on the method of moments (MoM) formulation, is invoked in the characterization of radiation and scattering properties of an array of coaxial, circular, non-identical loops. A set of Pocklington-type integral equations for the loop currents is formulated and subsequently discretized by a standard procedure. Thanks to a suitable choice of the basis functions, the resulting matrix corresponding to the pertinent linear system is forced to consist of circulant blocks. This type of system is solvable by an innovative recursive algorithm, featuring several important advantages, such as lower memory and execution time consumption, over standard, purely numerical inversion. The overall procedure is simpler in implementation than already existing methods, based on Fourier analysis. The procedure invokes almost exclusively elementary functions, and is applicable to large arrays with respect to diameter or number of loops. Data for such configurations are presented for the first time in literature.