Direct synthesis of the matched symmetric five-port junction from its scattering matrix

The matched symmetric five-port is synthesised directly from its scattering matrix using the equation relating the admittance and scattering matrices. The significance of the overall phase of the scattering matrix in this procedure is discussed and two alternative five-ports illustrate this. The design technique may be used to design other junctions from a given scattering matrix, provided a suitable geometry can be chosen.