Symmetrical waveguide junctions

Dicke and Kerns have shown that from a knowledge of the geometrical symmetry of a junction one can deduce the form of the scattering matrix. The synthesis problem; given a desired scattering matrix, to determine whether it is physically realizable in a symmetrical structure, and to find the possible structures, has not been solved completely, although several useful things can be said about the general problem. However, the number of cases that are ever likely to arise in practice is finite, and by solving the analysis problem for each of them and tabulating the results we have effectively given a "brute-force" solution of the synthesis problem for junctions of six or fewer waveguides.