Hybrid FDTD algorithm for electromagnetic analysis of fine structures
Hybrid FDTD algorithm for electromagnetic analysis of fine structures
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DOI：
10.1016/j.rinp.2021.105017
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发表时间：
2021-11
影响因子：
5.3
通讯作者：
Sihan Zhao;B. Wei;Xinbo He;Yiwen Li;Xiaolong Wei
中科院分区：
文献类型：
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作者：
Sihan Zhao;B. Wei;Xinbo He;Yiwen Li;Xiaolong Wei
本文提出了一种新的混合时域有限差分（hybrid FDTD）算法。这种混合FDTD方法结合了显式无条件稳定FDTD（US-FDTD）和传统FDTD方法的优点，实现了无条件稳定和高计算效率。 US-FDTD 用于精细网格和相邻的粗网格子域，它打破了 Courant-Friedrich-Levy (CFL) 条件。传统的FDTD用于剩余的粗网格子域，它是一种无矩阵方法。在子域边界上使用补偿方案而不影响精度。混合FDTD以全域粗网格大小确定的统一时间步长进行显式时间推进，从而减少了迭代时间。另外，由于US-FDTD仅在其中一个子域中使用，与全局US-FDTD方法相比，混合FDTD的矩阵维数减少，节省了特征值求解的时间。数值结果表明该方法具有较高的效率和准确性。
A new hybrid Finite-Difference Time-Domain (hybrid FDTD) algorithm is proposed in this paper. This hybrid FDTD method combines the superiorities of explicit unconditionally stable FDTD (US-FDTD) and traditional FDTD methods to achieve unconditional stability and high calculation efficiency. US-FDTD is used in fine grids and the adjacent coarse grids subdomain and it breaks the Courant-Friedrich-Levy (CFL) condition. Traditional FDTD is used in the remaining coarse grids subdomain and it is a matrix free method. A compensation scheme is used on the subdomain boundary without compromising accuracy. Hybrid FDTD makes the explicit time marching with a uniform time step determined by the size of coarse grid in whole domain, which reduces the iteration time. In addition, because US-FDTD is only used in one of the subdomains, compared with global US-FDTD method, the matrix dimension of hybrid FDTD is reduced, which saves the time for eigenvalue solution. Numerical results show high efficiency and accuracy of the proposed method.