To ameliorate the dispersion performance of ADI-FDTD method, considerable attempts have been made.
As a space point representing electromagnetic field component interacts with all the field points in the vicinity, which cannot be perfectly estimated by only two points, the numerical dispersion results mainly from the second-order central-difference approximation process of the differentiation operation and it is widely believed to be the primary source of computational error of ADI-FDTD method .
On the other hand, both the FDTD and ADI-FDTD
methods are widely studied for lossy media [7-10].
The LOD-FDTD method can be considered as the split-step approach (SS1) with first-order accuracy in time, which consumes less CPU time than that of the ADI-FDTD
Drysdale, "Acceleration of the 3D ADI-FDTD
method using graphics processor units," IEEE MTTS International Microwave Symposium Digest, 241-244, 2009.
Recently, a new method -- HIE-FDTD method [6,7] in 3-D case based on the advantage of ADI-FDTD
method has been developed.
INCLUDING LUMPED NETWORKS BASED ON THE PLRC TECHNIQUE
High-order four-step ADI-FDTD
methods in 3-D domains are presented in this paper.
Prior to formulating the FADI-FDTD, we first write down the update procedures of the conventional ADI-FDTD
in compact matrix form as
By using the method presented in , the numerical dispersion relations of the proposed method and the ADI-FDTD
method are as follows.
Ruchhoeft, "An ADI-FDTD
method for periodic structures," IEEE Transactions on Antennas and Propagation, Vol.
The LOD-FDTD method can be considered as a split-step approach (SS1) with first-order accuracy in time, which consumes less CPU time than that of the ADI-FDTD