The junction matrix in the analysis of scattering networks

A "scattering network" is an interconnection of multiports whose electrical properties are described by scattering matrices. The junction matrix defines the constraints imposed on the interconnected ports. This paper shows how the junction matrix is derived from the topological properties of the graph which represents the interconnections and how it is combined with the scattering matrices of the component multiports to arrive at the scattering matrix of the network.