A FDTD method for Nonuniform Transmission Line Analysis Using Yee's-lattice and Wavelet Expansion

Abstract

A 1D finite-difference time-domain (FDTD) method for nonuniform transmission line analysis by using wavelet expansion is presented. The approach are based on scaling functions only or on a combination of scaling functions and wavelets leading to a variable mesh griding. The proposed schemes compared to the conventional Yee's FDTD scheme shows a good capability to approximate the exact solution with negligible error for sampling rates approaching the Nyquist limit. A linear tapered transmission line that is one of models of interconnect is analyzed in order to illustrate the application of this method and to demonstrate the advantages over Yee's FDTD scheme with respect to memory requirements and execution time. And to show the stableness, eye diagram analysis for lossy uniform transmission line is shown.