A full-Maxwell algorithm for the field-to-multiconductor line-coupling problem

A general method to study the response of a system of multiconductors, lying above a perfectly conducting ground and excited by a HF electromagnetic field wave, is presented in this paper. The governing system of integro-differential equations is solved by means of a numerical procedure based on a Fourier series transformation. It can be proved that the series in which the unknowns of the problem, namely the currents along the conductors, are developed converge to the exact solution and only few terms are needed. The obtained results have been compared with those of a widely employed scattering code, showing faster performances for a given accuracy. Therefore, the algorithm can be seen as a more accurate alternative to the classical transmission line theory (TL) for all the situations (short transmission line, interconnects, etc.) in which the line geometrical parameters and the frequencies of interest make TL a rough approximation.