The modes in the stepped parallel waveguide excited by the slant incident waves

In this paper, an numerical model for studying the wave propagations in the parallel plate waveguides excited by the slant incident waves with arbitrary modes is developed. In this model, first, the slant incident wave is decomposed into Ez and Hz components and both the reflected and transmitted fields are expressed as the combination of the Ez and Hz modes, where the z direction is normal to the aperture on the junction plane. Second, the system matrix equation is obtained and solved by a hybrid matching method in which the field continuity at the discontinuity aperture is tested with hybridization of the point matching and modal matching. This hybrid method is complete for it can be used for solving the wave propagations in the symmetric stepped parallel waveguide excited by arbitrary modes. This work is useful in modeling the wave propagations in the electric-large dielectric cylinder antenna arrays which have a stepped parallel plate waveguide structure.