Multipole-accelerated compressive domain decomposition for the efficient analysis of finite printed antenna arrays

A technique is presented for the efficient analysis of finite printed antenna arrays made of identical elements. A multipole expansion can be obtained for planar layered medium GFs, and exploited to provide a fast evaluation of the reaction integrals between the Macro Basis Functions used to compress the original problem after decomposing it into subdomains (the array elements). The computational complexity of that evaluation is dominated by the operations related to the spherical wave term. Thus, taking into account the layered medium does not increase the order of the complexity, as compared to the case of a homogeneous medium. Examples are provided for non-periodic antenna arrays and for 2D periodic leaky-wave antennas.