Modal analysis in planar layered structures with conductive sheets using Cauchy integration method

Abstract

A systematic method for finding modes in planar layered media environment based on Cauchy Integration Method is presented. A rigorous approach for treating the branch cuts discontinuities and branch points singularities is introduced. The current formulation is applicable for uniaxial media and extended to allow the introduction of arbitrary 2D conductive sheets between the layers such as Graphene. A pole-free Dispersion Function was developed for all combinations of boundary terminations: open, PEC, PMC and impedance. Numerical examples are provided.