Influence of magnetic permeability on dispersion diagrams of a parallel-plate waveguide built with metamaterials

A homogeneous dielectric filled parallel-plate waveguide (PPW) with one metallic wall replaced by a metamaterial is considered. The dispersion diagram (DD) featuring the band structure, calculated by electromagnetic simulation, is used to investigate on the effects of the replacement of one of the dielectric materials entering into the composition of the PPW by one presenting magnetic properties. The reported results relative to the variation of the DD versus the magnetic permeability indicates a strong frequency variation of the position of the first band-gap and of the band-gaps widths. The large dynamic allows efficient application of dispersion engineering targeting advanced applications.