Modeling of transmission lines with EM wave coupling by the finite difference quadrature method

Abstract

This paper proposes an efficient numerical approximation technique, called the Finite Difference Quadrature (FDQ) Method, which has been adapted to model transmission lines (TL's) with external EM wave coupling. The finite difference quadrature method can quickly compute finite differences between adjacent grid points by estimating a weighted linear sum of derivatives at a set of points belonging to the domain. Unlike the Gaussian Quadrature method to compute the numerical integral, FDQ method uses global quadrature method to construct the approximation framework, however, to compute the finite difference. A discrete modeling approach, FDQ needs much sparser grid points than the Finite Difference (FD) methods to achieve comparable accuracy. The FDQ modeling technique is successfully employed to efficiently simulate transmission lines with EM interference.