Dispersion characteristics of a gyro-chiro-ferrite shielded multilayered microstrip line using the generalized exponential matrix technique

In this work, a new analytical matrix formulation approach for the characterization of a microstrip planar structure printed on a complex medium is detailed. The approach is based on the Generalized Exponential Matrix Technique (GEMT) combined with the method of moments and Galerkin's procedure. The presented mathematical calculation development is a robust approach that exclusively uses matrix formulations starting from Maxwell's equations until the derivation of a compact form of the Green's tensor. Reduced complexity and calculation simplicity foundation of the applied approach have actually incited us to consider the case study of a chiral lossy complex bianisotropic substrate medium. The complexity of the medium is expressed by a full tensor form of all four constitutive parameters: permittivity, permeability and magnetoelectric parameters; each one is represented by a nine-element tensor. Results of particular cases of bianisotropy are presented and discussed so that we can describe the electromagnetic behavior of these mediums. Original results of the biaxial chiral anisotropy case are carried out, discussed and compared with those available in literature.