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In this paper we detailed a new three-dimensional Subgridding or Multigrid-FDTD method based on our recently proposed method in two-dimensions. First a 3D spatial subgridding method based on Monk's two-dimensional method is described. Then by using conservation principle we showed the spatial subgridding method is stable, as well as the temporal subgridding method used. Finally, by separating the...
The proposed FDTD subgridding method is stable in both spatial and temporal spaces. Late-time instability has been resolved by separating the space and time interpolation interfaces from conventional collocated to same position. Numerical experiments conducted in 2D of 10 million time steps have no instability problem after a minimum gap distance for various refinement factors. Compare to existing...
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