The numerical dispersion and numerical anisotropy of the standard finite difference time domain (FDTD), six points lattice FDTD and high order FDTD (2, 4) are studied and compared. A new FDTD method with low numerical dispersion and anisotropy are developed. The method of confirming the weighting factor and the optimal factor in this method are given. The numerical dispersion and anisotropy of the proposed method are studied. The amended method of the numerical dispersion of the proposed method and the amended factor are given. The numerical experiment shows that the numerical dispersion and anisotropy of the proposed method are greatly reduced and the accuracy of the FDTD method is improved greatly by using the proposed scheme.
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