Abstract:
The aim of our work is to study the propagation of electromagnetic waves in
parallel plate waveguides with bi-anisotropic cores. However, we are interested in the
first step to anisotropic chiral media, as media of an adequate effect on the
characteristics of the structures treated. A theoretical study of electromagnetic wave
propagation in guided structure is presented. The waveguide is filled with a chiral
material having diagonal anisotropic constitutive parameters. The propagation
characterization in this medium is based on algebraic formulation of Maxwell's
equations combined with the constitutive relations. Three propagation regions are
identified: the fast-fast-wave region, the fast-slow-wave region, and the slow-slowwave region. Our work focuses completely on the propagation in the first region,
where the dispersion modal equations are obtained and solved. The cut-off
frequencies calculation leads to three cases of the plane wave propagation in
anisotropic chiral medium. The particularity of these results is the possibility of
controlling the appropriate cut-off frequencies of the propagated modes by choosing
the adequate physical parameters values of the substrate. The specificity of this study
lies in the bifurcation modes confirmation, and the possible contribution to the design
of optical devices such as high pass filters, as well as positive and negative
propagation constants. This negative constant is an important feature of metamaterials
which shows the phenomenon of backward waves. Original results of the biaxial
anisotropic chiral metamaterial are obtained and discussed.
In the second step of our research we are interested in the modeling of the
propagation of the electromagnetic wave in another non-reciprocal Tellegen
anisotropic medium. We have followed the same calculation steps as those of the
anisotropic chiral medium, except that, the constitutive relations are as a function of
the coupling parameter of the non-reciprocity. We have obtained the equations of
decoupled electric and magnetic waves, and dispersion equations of Tellegen
anisotropic, Tellegen isotropic and Tellegen nihility medium. A comparison between
propagation in both media (Tellegen and chiral) is presented in a table.
