Optimization of the Artificially Anisotropic Parameters in WCS-FDTD Method for Reducing Numerical Dispersion
Optimization of the Artificially Anisotropic Parameters in WCS-FDTD Method for Reducing Numerical Dispersion
复制标题
减少数值色散的WCS-FDTD方法中人工各向异性参数的优化
DOI：
10.1109/tap.2017.2758844
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发表时间：
2017
影响因子：
5.7
通讯作者：
Wu Xianliang
中科院分区：
文献类型：
--
作者：
Niu Kaikun;Huang Zhixiang;Li Minquan;Wu Xianliang
提出了一种三维人工各向异性弱条件稳定时域有限差分（AA-WCS-FDTD）方法，在不增加计算量和复杂度的前提下减小了色散误差。其动机是通过操纵介电常数和磁导率，使数值模拟中的光速等于物理速度。所提出的AA-WCS-FDTD算法实现了减少色散误差的任意入射角，不同的时间步长，和宽带频率。对算法的稳定性和色散性进行了分析，结果表明该算法是WCS算法，且对Courant-Friedrich-Levy条件做了微小的改变。数值算例表明，与WCS-FDTD方法相比，该方法具有更小的色散误差和更高的计算精度。
A 3-D artificial anisotropy weakly conditionally stable finite-difference time-domain (AA-WCS-FDTD) method is presented to reduce the dispersion error without introducing additional computational cost and complexity. The motivation is to equal the speed of light in the numerical simulation to the physical speed through manipulating the permittivity and permeability. The proposed AA-WCS-FDTD algorithm achieves the reduced dispersion error for the arbitrary incident angles, different time-step sizes, and wideband frequency. The analyses of the stability and dispersion indicate that the proposed algorithm is WCS, and the Courant–Friedrich–Levy condition is slightly changed. The numerical example demonstrates that the proposed method has a reduced dispersion error and high accuracy as compared to the WCS-FDTD method.