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Abstract
A rigorous differential method is presented for the efficient calculation of the modal scattering matrix of H-plane junctions in rectangular waveguides (filters, tapers, adapted sectoral horns). For this purpose, Maxwell's equations are used in tensorial form, written in a nonorthogonal coordinate system fitted to the studied structure geometry. The formalism requires numerical integrations with a Runge Kutta algorithm for solving an initial value problem. In order to avoid numerical instabilities we consider the transition as several elementary sections in series. When it is done, one may cascade using a generalized scattering matrix approach. This method can be used for steep discontinuities. The theory is verified by comparison with results obtained by other methods and a numerical study is proposed.