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IEEE Transactions on Microwave Theory and Techniques
Volume 48 Number 10, October 2000

Table of Contents for this issue

Complete paper in PDF format

3-D ADI-FDTD Method-Unconditionally Stable Time-Domain Algorithm for Solving Full Vector Maxwell's Equations

Takefumi Namiki Member, IEEE

Page 1743.

Abstract:

We previously introduced the alternating direction implicit finite-difference time-domain (ADI-FDTD) method for a two-dimensional TE wave. We analytically and numerically verified that the algorithm of the method is unconditionally stable and free from the Courant-Friedrich-Levy condition restraint. In this paper, we extend this approach to a full three-dimensional (3-D) wave. Numerical formulations of the 3-D ADI-FDTD method are presented and simulation results are compared to those using the conventional 3-D finite-difference time-domian (FDTD) method. We numerically verify that the 3-D ADI-FDTD method is also unconditionally stable and it is more efficient than the conventional 3-D FDTD method in terms of the central processing unit time if the size of the local minimum cell in the computational domain is much smaller than the other cells and the wavelength.

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