Survey on symplectic finite-difference time-domain schemes for Maxwell's equations
Survey on symplectic finite-difference time-domain schemes for Maxwell's equations
复制标题
麦克斯韦方程组辛有限差分时域格式综述
DOI：
10.1109/tap.2007.915444
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发表时间：
2008-02-01
影响因子：
5.7
通讯作者：
Wu, Xianliang
中科院分区：
文献类型：
--
作者：
Sha, Wei E. I.;Huang, Zhixiang;Wu, Xianliang
为了离散麦克斯韦方程组，综述了各种高阶辛时域（p，q）有限差分格式，它们采用p阶辛积分时间推进和q阶交错空间差分。首先导出了辛积分器的阶条件。其次，数值稳定性，色散和能量守恒的高阶辛格式和其他高阶时间方法之间的比较。最后，利用不同的空间和时间策略对这些辛格式进行了研究。根据我们的调查，高阶时间格式匹配高阶空间格式的最佳电磁模拟。对电偶极子辐射和介质填充波导宽带S参数提取进行了数值实验。结果表明，在高Courant-Friedrichs-Levy数和粗网格条件下，高阶辛格式可以得到满意的数值解。
To discretize Maxwell's equations, a variety of high-order symplectic finite-difference time-domain (p, q) schemes, which use pth-order symplectic integration time stepping and qth-order staggered space differencing, are surveyed. First, the order conditions for the symplectie integrators are derived. Second, the comparisons of numerical stability, dispersion, and energy-conservation are provided between the high-order symplectic schemes and other high-order time approaches. Finally, these symplectic schemes are studied by using different space and time strategies. According to our survey, high-order time schemes for matching high-order space schemes are required for optimum electromagnetic simulation. Numerical experiments have been conducted on radiation of electric dipole and wideband S-parameter extraction of dielectric-filled waveguide. The results demonstrate that the high-order symplectic scheme can obtain satisfying numerical solutions under high Courant-Friedrichs-Levy number and coarse grid conditions.