Abstract:
In this research work, the modeling of some type of shielded transmission lines
such as: microstrip, suspended microstrip and suspended coplanar line on a substrate
having a complex electromagnetic property has been developed using the Generalised
Exponential Matrix Technique in the spectral domain combined with the Galerkin
procedure.
A new analytical matrix formulation approach for the characterization of a planar
structure printed on a complex medium is presented in details. 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
associated to the studied structure.
Reduced complexity and calculation simplicity foundation of the applied approach
have actually incited us to consider the case study of a complex lossy bi-anisotropic
substrate medium transmission lines. Moreover, we successfully applied it to the case
of multilayer structures including resonators. A full tensor form of all four constitutive
parameters expresses the complexity of the medium: permittivity, permeability and
magneto-electric parameters; each one is represented by a nine-element tensor, taking
into account, for the first time, the substrate dielectric losses.
A multitude of diverse and interesting results has been obtained, which are
consistent with the literature. Among them, only the cases of exploitable applications
have been interpreted.
