The solution of waveguide and cavity-resonator problems with the resistance-network analogue

An experimental iteration process is described for the solution of waveguide and cavity-resonator problems. In this process, models of the waveguide cross-section or cavity resonator are set up on resistance networks as previously described elsewhere, and currents are fed into the network junctions according to certain prescribed relations; the fed-in currents are then adjusted cyclically until ¿self-consistency¿ is reached. The paper sets out the basic mathematical relations required, and describes the apparatus and its mode of operation. Several examples are given of waveguides having various cross-sections and of cavity resonators of axial symmetry. it is shown that the error in favourable cases can be smaller than 0.1%.