Abstract
In the paper, the authors derive the method of splitting plane wave FDTD (SP-FDTD) method for initiation of plane wave sources in the total-field and scattered-field (TF/SF) formulation of 3D FDTD (2, 4) scheme. By splitting the fields on 1D auxiliary grids, the identical dispersion relation can be obtained between the 1D auxiliary grids and the 3D grids, which is also proved to be using the nature of plane wave. Using 1D auxiliary grids for introducing a plane wave, a perfect plane wave injection can be achieved at any angle forming an integer grid cell ratio. Numerical simulations also indicate the efficiency and validity of the method for FDTD (2, 4) scheme and the leakage error on the order of −300dB for double precision.
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