Synthetic-Functions Analysis of Antennas with Slots and Apertures

Application of the synthetic function expansion (SFX) approach for the case of aperture coupled structures is investigated. Problems involving slots or apertures into an infinite metal plane are formulated in terms of the magnetic-field continuity equation (MFCIE) for the unknown magnetic currents, typically in association with an electric field integral equation (EFIE) (e.g. for slot-coupled patch antennas). The MCFIE satisfies the requirements that allow a direct application of the SFX constructs, but its detailed formulation and implementation have not been addressed yet.