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

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.