scholarly journals Implementation of the Crank‐Nicolson Douglas‐Gunn finite‐difference time domain with complex frequency‐shifted perfectly matched layer for modeling unbounded isotropic dispersive media in two dimensions

2019 ◽  
Vol 62 (3) ◽  
pp. 1103-1111 ◽  
Author(s):  
Xue‐Yang Shi ◽  
Xun‐Ya Jiang
Keyword(s):  
Finite Difference ◽  
Time Domain ◽  
Finite Difference Time Domain ◽  
Perfectly Matched Layer ◽  
Two Dimensions ◽  
Dispersive Media ◽  
Complex Frequency ◽  
Difference Time ◽  
Crank Nicolson

Z-Transform Implementation of the CFS-PML for Truncating 3D Meta-Material FDTD Domains

2014 ◽  
Vol 986-987 ◽  
pp. 3-7
Author(s):  
Yong Qing Yue ◽  
Chun Hui Zhu ◽  
Nai Xing Feng
Keyword(s):  
Finite Difference ◽  
Time Domain ◽  
Finite Difference Time Domain ◽  
Maxwell's Equations ◽  
Numerical Test ◽  
Perfectly Matched Layer ◽  
Three Dimensions ◽  
Complex Frequency ◽  
Transform Method ◽  
Difference Time

Efficient Z-transform implementa-tion of the complex frequency-shifted perfectly matched layer (CFS-PML) based on the stretched coordinate PML (SC-PML) formulations and the D-B formulations is proposed for truncating meta-material finite-difference time-domain (FDTD) lattices. In the proposed PML formulations, the Z-transform method is incorporated into the CFS-PML FDTD implementation. The main advantage of the proposed formulations can allow direct FDTD implementation of the Maxwell’s equations in the PML regions. A numerical test has been carried out in a three dimensions (3-D) FDTD domain to validate the proposed formulations. It is shown that the proposed formulations with CFS scheme are efficient in holding good absorbing performances.

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