Abstract
The numerical dispersion relation (NDR) of the finite-difference time-domain method in general curvilinear coordinates (FDTD-GCC) is discussed for a two-dimensional (2-D) uniformly skewed mesh. The analysis shows that the average scheme, which is being used in the FDTD-GCC method, causes an additional numerical dispersion error. When this dispersion error is considered, the FDTD-GCC method holds the same NDR as that of the FDTD discrete surface integral (FDTD-DSI) method. It also indicates that the stable range of the FDTD-GCC method, with respect to the skewing angle in the 2-D case, is narrowed due to the average scheme.
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