Efficient analysis of lossy substrate integrated waveguides based on the parallel-plate waveguide Green´s function

This paper presents the full-wave characterization of lossy substrate integrated circuits (SICs) based on the dyadic Green´s function of the parallel plate waveguide. SICs are considered as an ensemble of conducting post placed in a parallel-plate waveguide. The field inside the parallel plate is expressed in terms of cylindrical vector wave-functions and considering the scattering from the ensemble of conducting posts. Finite conductivity of the top and of the bottom plates, and of the metallic vias are taken into account. Losses into the dielectric substrate are also included. Coaxial ports are considered as sources and self and mutual admittances are evaluated. Cases of practical structure taken from literature are presented showing a very good agreement with the most used commercial software.