Split-field PML implementations for the unconditionally stable LOD-FDTD method

A Study on Unconditionally Stable FDTD Methods for the Modeling of Metamaterials

“…However, overall computational costs of LOD-FDTD with Strang splitting are comparable to those of ADI-FDTD. On a separate note, it has also been verified numerically that the incorporation of the PML absorbing boundary condition demands less computational overhead in LOD-FDTD than in ADI-FDTD, as suggested in [23]. In addition, it was demonstrated that an iterative fixed-point correction can be successfully incorporated into ADI-FDTD for the analysis of doubly dispersive materials.…”

“…The secondorder accurate (in time) LOD-FDTD with Strang splitting, on the other hand, employs an extra step in the update (note that ADI-FDTD also requires only two steps) and demands about 25% more arithmetic operations in each time update. Nevertheless, this formalism requires approximately 33% less operations per time step than ADI-FDTD, because the former has only one [23]. The relative simplicity of the LOD formalisms becomes quite attractive for implementation of the PML, compared to the ADI case.…”

Frequency-Dependent Locally One-Dimensional FDTD Implementation With a Combined Dispersion Model for the Analysis of Surface Plasmon Waveguides

“…Since the computational window is large enough in the direction, the calculation finishes before the pulse propagating in the direction reaches the computational window edge. Therefore, no specific absorbing boundary condition is employed, i.e., fields are forced to zero at all computational window edges (using the perfectly matched layer [15], [16] is preferable for the analysis of more complex structures, which remains stable in our experiences with the present method). The wavelength characteristic of the transmission coefficient is calculated from the ratio between the discrete Fourier transforms of the incident pulse observed at #1 and the transmitted one at #2.…”

“…The main advantage of the LOD-FDTD is that the algorithm is quite simple with a concomitant reduction in computational time, while maintaining the accuracy comparable to the ADI-FDTD. This fact has recently motivated researchers to extend and improve the LOD-FDTD from several viewpoints [15]- [18]. In this work, we develop an efficient frequency-dependent LOD-FDTD method for the analysis of the Drude-Lorentz model.…”

Study of Upml Absorbing Boundary Condition for the Five-Step Lod-FDTD Method

“…In [7,8], the split-field perfectly matched layer (PML) and convolution PML have been applied to LOD-FDTD method. And the Mur's and uniaxial anisotropic PML (UPML) absorbing boundary condition [9][10][11][12] have been implemented within the two-dimensional LOD-FDTD method [13].…”