Transient Analysis of Nano-Interconnects

This paper presents a new methodology for the transient analysis of nano-interconnects, modeled as lossy and dispersive multiconductor transmission lines. The proposed model is derived from the solution of the Telegrapher´s equations in the framework of the Sturm-Liouville theory. The open-ended impedance matrix is expressed in a series form as sum of infinite rational functions, derived by the series form of the Green´s function. Hence, a pole-residue rational model can be synthesized and a reduced order model is generated by a simple selection of dominant poles. The numerical results confirm the robustness of the proposed technique.