Rigorous analysis of guided wave propagation of dielectric electromagnetic band-gaps in a rectangular waveguide

Abstract

Guided wave propagation in a Ku-band rectangular waveguide filled with a series of cells of dielectric materials in the Kronig–Penney morphology is examined. Allowed and forbidden bands in these ideal electromagnetic band-gap (EBG) filters are obtained for the TE z and TM z propagation modes by invoking the Floquet theorem. Real EBG structures, with a finite number of unit cells, are also studied using the scattering matrix technique. As the number of unit cells in a real structure increases, its transmission characteristics converge to those of its ideal analogue.