Title :
On the modeling of conducting media with the unconditionally stable ADI-FDTD method
Author :
Yuan, Chenghao ; Chen, Zhizhang
Author_Institution :
Dept. of Electr. & Comput. Eng., Dalhousie Univ., Halifax, NS, Canada
Abstract :
The Courant-Friedrich-Levy stability condition has prevented the conventional finite-difference time-domain (FDTD) method from being effectively applied to conductive materials because of the fine mesh required for the conducting regions. In this paper, the recently developed unconditionally stable alternating-direction-implicit (ADI) FDTD is employed because of its capability in handling a fine mesh with a relatively large time step. The results show that the unconditionally alternating-direction-implicit-finite-difference time-domain (ADI-FDTD) method can be used as an effective universal tool in modeling a medium regardless of its conductivity. In addition, the unsplit perfectly matched layer combined with the ADI-FDTD method is implemented in the cylindrical coordinates and is proven to be very effective even with the cylindrical structures that contain open conducting media.
Keywords :
circular waveguides; conducting bodies; finite difference time-domain analysis; numerical stability; waveguide theory; ADI-FDTD model; Courant-Friedrich-Levy stability; alternating direction implicit-finite difference time domain method; circular waveguide; conducting medium; cylindrical coordinates; unconditional stability; unsplit perfectly matched layer; Conducting materials; Conductivity; Finite difference methods; Microwave frequencies; Optical materials; Optical surface waves; Perfectly matched layers; Radio frequency; Stability; Time domain analysis;
Journal_Title :
Microwave Theory and Techniques, IEEE Transactions on
DOI :
10.1109/TMTT.2003.815267