Time-domain simulation of dispersive media with the finite integration technique

Since simulations of broadband applications have gained in importance in the last few years, the dispersive characteristics of various materials must not be neglected anymore. As a result many frequency-dependent FDTD methods have been set up which in most cases model special dispersions of low order. Furthermore, only few authors present proposals for the examination of stability behaviour of their algorithms. Our approach refers to the general FIT method and is based on state-space formulation. On foundation of discrete system analysis we present an algorithm applicable to arbitrary material dispersions and a detailed description of a practicable stability derivation. The applicability of the presented method is demonstrated with an example using a parallel plate transmission line filled with dielectric layers.