Time Domain Solutions of Transmission Line Crosstalk

Abstract

This paper uses the Associate Hermite polynomial-finite-difference time-domain method (AH-FDTD) to analyze and calculate the transmission line (TL) crosstalk for the first time. The proposed method expands the transmission line equation using AH basis functions, uses Galekin's principle to eliminate the time variable, solves the implicit equation in the AH domain and performs inverse changes to obtain the solution of the equation. Compared with FDTD, this method separates the spatiotemporal variables, is not constrained by the Courant– Friedrich–Levy (CFL) condition, and has a higher calculation rate when there are many discrete segments of the transmission line. Simulation results show that the proposed method has much lower CPU time and better accuracy compared to FDTD and Alternating Direction Implicit (ADI) FDTD, which has obvious advantages.