Title :
General formulation of unconditionally stable ADI-FDTD method in linear dispersive media
Author :
Dong, X.T. ; Venkatarayalu, N.V. ; Guo, B. ; Yin, W.Y. ; Gan, Y.B.
Author_Institution :
Ternasek Labs., Nat. Univ. of Singapore, Singapore
Abstract :
The unconditionally stable alternating-direction-implicit-finite-difference time-domain (ADI-FDTD) method is used to model wave propagation in dispersive media. A formulation is presented by introducing the Z-transform method into the ADI-FDTD scheme to handle the frequency-dependent features of the media. This formulation is applicable to arbitrary dispersive media, and can be easily coded. Numerical results are compared to those based on the conventional FDTD method to show the efficiency of the proposed method.
Keywords :
Laplace transforms; Z transforms; computational electromagnetics; dispersive media; electromagnetic wave propagation; finite difference time-domain analysis; Laplace domain constitutive relation; Z-transform; alternating-direction-implicit-FDTD method; arbitrary dispersive media; discrete difference formula; frequency-dependent features; homogeneous plasma; linear dispersive media; perfectly matched layer; plane wave; radar cross section; unconditionally stable ADI-FDTD method; wave propagation; Dispersion; Electromagnetic scattering; Equations; Finite difference methods; Frequency; Gallium nitride; Helium; Permittivity; Polynomials; Time domain analysis;
Journal_Title :
Microwave Theory and Techniques, IEEE Transactions on
DOI :
10.1109/TMTT.2003.821269
