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. Copyright © 2000 John Wiley & Sons, Ltd.

[1]  Peter G. Petropoulos,et al.  Stability and phase error analysis of FD-TD in dispersive dielectrics , 1994 .

[2]  Om P. Gandhi,et al.  A frequency-dependent finite-difference time-domain formulation for general dispersive media , 1993 .

[3]  A Taflove,et al.  Direct time integration of Maxwell's equations in linear dispersive media with absorption for scattering and propagation of femtosecond electromagnetic pulses. , 1991, Optics letters.

[4]  J. L. Young.  Propagation in linear dispersive media: finite difference time-domain methodologies , 1995 .

[5]  T. Weiland.  Time Domain Electromagnetic Field Computation with Finite Difference Methods , 1996 .

[6]  T. Weiland.  On the Numerical Solution of Maxwell''s Equations and Applications in the Field of Accelerator Physi , 1984 .

[7]  Carey M. Rappaport,et al.  A general method for FDTD modeling of wave propagation in arbitrary frequency-dispersive media , 1997 .

[8]  C. Taylor,et al.  Electromagnetic pulse scattering in time-varying inhomogeneous media , 1969 .

[9]  José A. Pereda,et al.  State-space approach to the FDTD formulation for dispersive media , 1995 .

[10]  Thomas Weiland,et al.  Resonance Effects Inside A Human Head Exposed To A Cellular Phone , 1996 .

[11]  Andre Knoesen,et al.  DISPERSIVE MODELS FOR THE FINITE-DIFFERENCE TIME-DOMAIN METHOD : DESIGN, ANALYSIS, AND IMPLEMENTATION , 1994 .

[12]  Dennis M. Sullivan,et al.  Z-transform theory and the FDTD method , 1996 .

[13]  Allen Taflove,et al.  Computational Electrodynamics the Finite-Difference Time-Domain Method , 1995 .