Symmetry synthesis of the multiport scattering matrix as a first step in the design of electromagnetic components and devices

In this paper, we discuss a general method for symmetry synthesis of electr omagnetic multiports. Two approaches are possible in this problem: (1) solu tion for all the possible symmetry groups describing the multiports, and (2 ) determination of the symmetry group of a given ideal scattering matrix an d calculation of the real matrix. A three-way nonreciprocal divider synthes is illustrates the second approach. Also, for four-parts defined is the gro up tree allowing one to calculate all the possible scattering matrices.