Variable permittivity dielectric material loaded stepped-horn antenna

Figure 2.8 Rooftop expansion function for MX and M.To evaluate elements of the aperture admittance for the waveguide region, Yw gmn, asingle expansion function M n is considered on the aperture plane in the waveguide region.The tangential field produced by Mn will be of the same form as (2.51) and (2.52) exceptonly reflected waves are present on the aperture. Therefore, the fields are decomposed intocorresponding TE and TM parts as,