Inter-Reciprocity Principles for Linear Network- Waveguides Systems Based on Generalized Scattering, Admittance and Impedance Matrices

Inter-reciprocity principles for linear n-ports with connected waveguides are presented which are based on a formalism using generalized scattering, admittance and impedance matrices. The definitions of these matrices are kept as general as possible, so that any n-port of dimensionality n composed of linear media can be represented, and least assumptions on the transmission lines or waveguides connected to the network ports are necessary. In particular, the formalism allows for anisotropic media in the n-port, as well as in the waveguides. Also intricate situations may be covered by this approach, where the usual description by ordinary scattering, impedance and admittance matrices fails. It is shown that the waveguides have to be taken into account as integral parts of the whole network-waveguides system, because the inter-reciprocity relations which are derived for the n-port depend on the waveguide modes. It is further investigated under which conditions these general relations coincide with the equations used to define abstract inter-reciprocity in network theory.