In this research work, we analyze the electromagnetic wave transmission in a parallel-plate
waveguide filled with a (a) conventional (linear, homogeneous and isotropic) dielectric medium
(b) metamaterials. In this association, we derived the dispersion relations for the TE and TM
wave modes for both cases. The dispersion characteristics of the waves are obtained by the
numerical analysis of the dispersion relation by plotting it for the propagation frequency versus
the wave vector for different values of the dimensions of the waveguide and the number of
modes for the cases (a), whereas for case (b), we analyzed the dispersion characteristics by
plotting the propagation frequency versus the wave vector for diverse values of the number of
modes. The dispersal characteristics show propagation and non-propagation regions in the
microwave frequency range. This effect can be used for different waveguide applications e.g.
filters, sensors etc