A high-order compact-FDTD algorithm for electrically large waveguide analysis
A high-order compact-FDTD algorithm for electrically large waveguide analysis
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DOI：
10.1109/tap.2008.927545
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发表时间：
2008-08-01
影响因子：
5.7
通讯作者：
Mahmoud, Samir F.
中科院分区：
文献类型：
--
作者：
Hadi, Mohammed F.;Mahmoud, Samir F.
为了对大型电波导结构进行建模，紧凑时域有限差分 (FDTD) 算法需要使用严格缩小的时间步长，以适当地抑制随着工作频率增加而快速增长的数值色散误差。在这项工作中，开发了一种基于四阶空间中心有限差分和四阶时间后向有限差分的高阶紧凑FDTD算法。该算法的准确性和效率通过其色散关系分析得到验证，并通过对穿过土隧道的高频波传播进行建模来验证。所获得的计算效率使得该高阶算法能够使用数百个紧凑型 FDTD 单元（而不是三维 FDTD 算法所需的数百万个 FDTD 单元）对纵向不变公路和铁路隧道中的无线传播进行建模。
To model electrically large waveguiding structures, the compact-finite-difference time-domain (FDTD) algorithm needs to use severely scaled down time steps to properly contain the rapidly growing numerical dispersion errors with increased operating frequency. In this work, a high-order compact-FDTD algorithm based on fourth-order spatial central finite differencing and fourth-order temporal backward finite differencing is developed. The accuracy and efficiency of this proposed algorithm are verified through its dispersion relation analysis and validated by modeling high-frequency wave propagation through an earth tunnel. The obtained computational efficiency allows this high-order algorithm to model wireless propagation through longitudinally-invariant road and railway tunnels using several hundred compact-FDTD cells as opposed to the several million FDTD cells required by three-dimensional FDTD algorithms.