Among other applications in industry and medicine, particle accelerators are important tools for fundamental research. The interaction of the beam of charged particles with the vacuum chamber of the particle accelerator is typically described in the frequency range by the beam coupling impedance. The broadband calculation of such coupling impedances is particularly challenging for complex geometries. A domain decomposition method for computing the coupling impedances of complex structures was recently proposed in the literature. This method is based on generalized network matrices. In addition to the waveguide ports on the beam pipes, the beam of charged particles acts as another port in the network matrix formulation. Yet, not much is known about the basic properties of these generalized matrices. These properties will therefore be investigated as part of the work. Furthermore, efficient methods for calculating them will be developed.
