Analysis of N-furcation in elliptical waveguides via the generalized network formulation

We consider the problem of an N-furcated elliptical waveguide, i.e., the pr oblem of the junction between an elliptical waveguide of larger cross secti on and a few elliptical waveguides of smaller cross section. This problem i s relevant for several applications since it allows full-wave modeling of a thick iris containing multiple elliptical apertures, and by proper selecti on of such an iris, it is possible to control mode excitation and coupling, In order to deal with the above problem, we employ the recently introduced generalized network formulation, which allows one to solve the N-furcation problem not only in the standard manner, but also via scattering superposi tion, The efficiency of both proposed approaches is tied to the coupling-co efficient evaluation. For implementation, we introduce new analytical formu las, which considerably reduce the computational effort. Numerical and expe rimental comparisons are provided in order to validate the theory.