E-plane and H-plane slab loaded waveguide solutions

A full design capability for electromagnetic waveguides should include the field solution, the modal hierarchy, impedance models, the cut-off and propagation planes with the ability to optimise parameters and synthesise designs. As cut-off frequencies and optimisation are problematic for numerical methods, closed-form solutions are always preferred. In this article, we reformulate Maxwell's equations into two coupled potential equations to characterise both E-plane and H-plane slab loaded waveguides. An experimental resonant cavity is constructed to confirm the dispersion characteristics of the single broadwall H-plane slab and a quarter wavelength impedance transformer is designed to match a toroidal ferrite phase shifter to rectangular waveguide.