In this paper, the hybrid implicit–explicit finite-difference time-domain (HIE-FDTD) algorithm for a two-dimensional (2D) TE wave is extended to a full three-dimensional (3D) wave. The weakly conditional stability is verified by numerical simulation results. Numerical formulations of the 3D HIE-FDTD method are presented and simulation results are compared to those using the conventional 3D finite-difference time-domain method. High computation efficiency is obtained by introducing an unequal space increment in different dimensions in the HIE-FDTD method.
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