A higher order (2,4) scheme for reducing dispersion in FDTD algorithm
A higher order (2,4) scheme for reducing dispersion in FDTD algorithm
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DOI：
10.1109/15.765109
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发表时间：
1999-05
影响因子：
2.1
通讯作者：
K. Lan;Yaowu Liu;Weigan Lin
中科院分区：
文献类型：
--
作者：
K. Lan;Yaowu Liu;Weigan Lin
讨论了时间域中的麦克斯韦方程解决方案的二阶精度和四阶的有限差分时间域（FDTD）方案。与标准YEE（1966）FDTD算法相比，高阶方案减少了数值分散和各向异性，并提高了稳定性。分散分析表明，高阶方案产生的频段在同一网格上扩大了精确的解决方案，这意味着可以选择更大的空间增量以进行相同的激发。数值结果显示了该方案在对粗网格上建模宽带电磁现象中的应用。
A finite-difference time-domain (FDTD) scheme with second-order accuracy in time and fourth-order in space is discussed for the solution of Maxwell's equations in the time domain. Compared with the standard Yee (1966) FDTD algorithm, the higher order scheme reduces the numerical dispersion and anisotropy and has improved stability. Dispersion analysis indicates that the frequency band in which the higher order scheme yields an accurate solution is widened on the same grid, this means a larger space increment can be chosen for the same excitation. Numerical results show the applications of the scheme in modeling wide-band electromagnetic phenomena on a coarse grid.