Transmission-line super theory: A new approach to an effective calculation of electromagnetic interactions

Techniques are presented in this paper for the modeling of discontinuities and non-uniformities in transmission lines with the aid of extended telegrapher equations. Simple static models for risers, bends, wires through holes, and a wire crossing a slit are followed by a detailed derivation of the transmission-line super theory. With this theory, one can describe the coupling to and propagation along almost arbitrarily shaped nonuniform lines in a homogeneous medium. Also, methods for the numerical solution of the resulting extended telegrapher equations are presented, and are embedded into the context of network formulations, like EM topology. Eventually, several examples demonstrate the potential of the prescribed methods.