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Dielectric loaded horns have found widespread application due to their inherent potential of having features similar to corrugated horns, while being less frequency sensitive and more easily to be manufactured, in particular for higher frequencies. In this paper, we follow a different MoM approach by using divergence-conforming higher-order vector basis functions, which have mostly been employed for scattering and microstrip antenna problems so far. Moreover, curved surfaces is modeled using curvilinear triangles in order to minimize geometrical modeling inaccuracies. The advantages include higher efficiency, accuracy and flexibility. For solving the given problem, the electric field integral equation (EFIE) is combined with the Poggio-Miller-Chang-Harrington-Wu-Tsai (PMCHWT) formulation. The combined formulation is named EFIE-PMCHWT method underlining the fact that the EFIE is applied to model the fields on the aperture and conductor surfaces, and the PMCHWT method is utilized for modelling dielectric structures inside the waveguide housing.