Transport of Power through Networks of Cables Using Quantum Graph Theory

We present a model of scattering parameters of electromagnetic waves propagating through networks of cables based on the quantum graph formalism. We compare directly the model with experimental measurements, using real, lossy cables. In contrast to previous studies which have focused on the statistical distribution of reflection coefficients, we compare the theoretical model predictions of scattering matrix elements with experiments. The laboratory measurements compares favourably to the theoretical predictions of the derived quantum graph model for various scenarios of graph topologies. The graph model is easily extendable to include graphs with multiple leads (ports) as well as more complicated topologies in the study of electromagnetic interference (EMI) within wired systems.