Abstract
The alternating-direction implicit (ADI) FDTD method is free of the Courant-Friedrich-Levy (CFL) stability condition, however the numerical dispersion error increases after the ADI method is applied. In this paper, a high-order ADI-FDTD method, which using higher order accurate approximation at the spatial derivative, is formulated. The new scheme reduces the numerical dispersion error and is still unconditionally stable. Besides, the sixth-order 2-D ADI-FDTD method is used to study the effect of different time-step sizes on stability and numerical dispersion.
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