High-Q rectangular cavities and waveguide filters using periodic metalo-dielectric slabs

We obtain the exact solution of Maxwell's equations for the fields in rectangular waveguide or cavity loaded with metalo-dielectric slabs of arbitrary thicknesses and permitivities, placed periodically along the longitudinal direction. For cavity applications, we find significant Q-factor enhancements in the microwave regime, relative to cavities made of bulk conductor walls. For waveguide filters, the system allows frequency multiplexing with very competitive filter lengths.