Relative accuracy of several finite-difference time-domain methods in two and three dimensions

1993 ◽  
Vol 41 (12) ◽  
pp. 1732-1737 ◽  
Author(s):  
K.L. Shlager ◽  
J.G. Maloney ◽  
S.L. Ray ◽  
A.F. Peterson
Keyword(s):  
Finite Difference ◽  
Time Domain ◽  
Finite Difference Time Domain ◽  
Relative Accuracy ◽  
Three Dimensions ◽  
Difference Time

scholarly journals Finite-Difference Time-Domain Simulations

2021 ◽  
Author(s):  
Elyes Balti
Keyword(s):  
Finite Difference ◽  
Time Domain ◽  
Free Space ◽  
Finite Difference Time Domain ◽  
Electromagnetic Pulse ◽  
Analytic Solutions ◽  
Three Dimensions ◽  
Electric Conductor ◽  
Absorbing Boundaries ◽  
Difference Time

This work discusses the Finite-Difference Time-Domain (FDTD) technique to simulate an electromagnetic wave assuming one, two and three dimensions. The propagation medium is assumed to be a free space bounded by two absorbing boundaries, perfect matched layer (PML) and perfect electric conductor (PEC). The FDTD-1D is considered in free space while FDTD-2D and 3D are considered both in free space and in a free space-medium consisting of dielectric sphere and cylinder in the center. In this case, we model the incident and the scattered electromagnetic fields reflected back from hitting the dielectric cylinder and sphere. Moreover, the simulation starts by generating an electromagnetic pulse either in the middle or at one end of the medium and this pulse can be either Gaussian or sinusoidal. For the FDTD-3D, an antenna dipole is assumed to be the source generator of the electromagnetic pulse. We also provide the analytic solutions to confirm the accuracy of the FDTD technique.

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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