Analysis of interconnect networks with conducting wedge loaded by an inhomogeneous dielectric substrate

A method for the modelling and simulation of interconnect networks consisting of an inhomogeneous profile coupled cylindrical microstrip transmission line loaded by a perfectly conducting wedge is presented. The inhomogeneous coupled cylindrical microstrip transmission line is analysed by applying mixed boundary conditions to obtain a system of series equations which are solved using Galerkin´s method. The potential and field distributions in the cross-section of the microstrip line, the charge distribution on the multistrip, and the Maxwellian capacitance matrix per unit length are derived. The normal mode propagation constant, modal characteristic impedance, effective dielectric constant, and network function of the microstrip line are also derived in terms of the Maxwellian capacitance matrix per unit length. The results obtained using the aforementioned method have been compared for a special case of cylindrical microstrip line which is a standard electrostatic boundary value problem. Good agreement between the numerical results and the analytical solution has been found