Full-wave analysis of a perfectly conducting wire transmission line in a double layered conductor-backed medium

A full-wave eigenmode analysis of a waveguide structure which consists of a double layered conductor-backed medium with a perfectly conducting cylindrical wire in either the top layer or the bottom layer is presented. The analysis starts with a Fourier series representation of the total longitudinal and transverse current components on the wire surface, which are seen as the sources of the eigenmode of the waveguide. The fields generated by these sources can be expressed in terms of suitable incoming and scattered fields. Finally, Galerkin´s method is used to impose the boundary conditions on the wire surface. Numerical results for a typical interconnection structure are presented