Electromagnetic wave propagation in rectangular waveguides filled with Omega-medium

A time-harmonic electromagnetic plane wave propagating in a uniaxial bianisotropic medium, the so-called Omega medium, is considered. Plane waves are identified together with their dispersion equations with the help of an appropriate coordinate system. The plane wave solution is then used to study in a rigorous way the coupled-mode equations satisfied by the electromagnetic field in a rectangular waveguide filled with such a material and bounded by perfect electrically conducting walls. The features of this approach are demonstrated and an application to rectangular waveguides is discussed. Numerical results are also presented as a function of the material parameters.