We apply the recently introduced generalized network formulation to the problem of an N-furcations in metallic waveguides, i.e. the problem of the junction between a waveguide of larger cross-section and a few waveguides of smaller cross-section. It is shown that the proposed formulation not only allows to recover the standard approaches, such as e.g. the generalized scattering matrix and the generalized admittance matrix, but also allows one to solve the N-furcation problem via scattering superposition. As an example of application we consider the problem of an elliptical cavity resonator with short-circuited stubs which are used both to control and generate multimodal resonances. The efficiency of the proposed formulation is tied to the coupling coefficient evaluation. For implementation we introduce new analytical formulae which considerably reduce the computational effort. Numerical and experimental comparisons are provided in order to validate the theory.     «

We apply the recently introduced generalized network formulation to the problem of an N-furcations in metallic waveguides, i.e. the problem of the junction between a waveguide of larger cross-section and a few waveguides of smaller cross-section. It is shown that the proposed formulation not only allows to recover the standard approaches, such as e.g. the generalized scattering matrix and the generalized admittance matrix, but also allows one to solve the N-furcation problem via scattering super...     »