The hybrid transmission line matrix - multipole expansion (TLMME) method for the modeling of electromagnetic structures in unbounded regions

The hybrid Transmission Line Matrix – Multipole Expansion (TLMME) method is focusing on potentially exact modeling of unbounded problems in time-domain electromagnetic computations based on the Transmission Line Matrix (TLM) method. In TLMME modeling the unbounded space is divided into two subregions, the spherical TLM region and the Multipole Expansion (ME) region. The connection between the subregions is found from the continuity condition of the tangetial field components and is modeled by a connection network. In this paper we describe the theoretical background of the TLMME method and give a numerical example of modeling of a patch antenna. Index Terms Time domain analysis, Transmission line matrix methods, Multipole expansion