Article

Development of the CPML for Three-Dimensional Unconditionally Stable LOD-FDTD Method

Dept. of Comput. Electromagn. & Photonics, Inst. of High Performance Comput., Singapore, Singapore
IEEE Transactions on Antennas and Propagation (impact factor: 2.15). 04/2010; DOI:10.1109/TAP.2009.2039334 pp.832 - 837
Source: IEEE Xplore

ABSTRACT A convolutional perfectly matched layer (CPML) is developed for three-dimensional unconditionally stable, locally one dimensional (LOD)-finite-difference time-domain (FDTD) method. The formulation of the LOD-FDTD CPML is derived and numerical results are demonstrated at different positions for different Courant Friedrich Levy numbers in the simulation domain. The method is validated numerically with FDTD-CPML.

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    Article: A Split-Step FDTD Method for 3-D Maxwell's Equations in General Anisotropic Media
    G. Singh, Eng Leong Tan, Zhi Ning Chen
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    ABSTRACT: A split-step finite-difference time-domain (FDTD) method is presented for 3-D Maxwell's equations in general anisotropic media. The general anisotropic media can be characterized by full permittivity and permeability tensors. Stability analysis of the proposed split-step FDTD method using the Fourier method is presented. The eigenvalues of the Fourier amplification matrix are numerically shown to have unity magnitude even for time steps greater than the Courant limit time step, thereby illustrating the stable and non-dissipative nature of the split-step FDTD method in general anisotropic media. Numerical results are presented to further validate the accuracy and stability of the proposed split-step FDTD method in general anisotropic media.
    IEEE Transactions on Antennas and Propagation 12/2010; · 2.15 Impact Factor
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Keywords

different Courant Friedrich Levy numbers
 
different positions
 
dimensional
 
FDTD-CPML
 
LOD)-finite-difference time-domain
 
simulation domain
 
three-dimensional
 

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