| 一种非条件稳定的隐式时域有限差分法 |
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| 引用本文： | 高文军,吕善伟.一种非条件稳定的隐式时域有限差分法[J].电子学报,2002,30(6):900-902. |
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| 作者姓名： | 高文军 吕善伟 |
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| 作者单位： | 北京航空航天大学电子工程系,北京 100083 |
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| 摘 要： | 介绍一种基于交替方向隐式(ADI)技术的时域有限差分法(FDTD).该方法是非条件稳定的,时间步长不再受到Courant稳定条件的限制,而是由数值色散误差来确定.与传统的FDTD相比,ADI-FDTD增大了时间步长,从而缩短了总的计算时间,特别是当空间网格远小于波长时,优点更加突出.首次把完全匹配层(PML)边界条件应用到ADI-FDTD计算中,采用幂指数形式的时间步进算法,推导了相应的迭代公式.进行了实例计算,并与传统FDTD的结果对比,验证了ADI-FDTD的有效性与优越性.
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| 关 键 词： | 时域有限差分法(FDTD) 交替方向隐式技术(ADI) 完全匹配层(PML) |
| 文章编号： | 0372-2112(2002)06-0900-03 |
| 收稿时间： | 2001-02-28 |
An Unconditionally Stable Implicit Finite-Difference Time-Domain Method |
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| GAO Wen-jun,Lü Shan-wei.An Unconditionally Stable Implicit Finite-Difference Time-Domain Method[J].Acta Electronica Sinica,2002,30(6):900-902. |
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| Authors: | GAO Wen-jun Lü Shan-wei |
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| Affiliation: | Dept.of Electronic Engineering,Beijing University of Aeronautics and Astronautics,Beijing 100083,China |
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| Abstract: | An implicit finite-difference time-domain method (FDTD) using the principle of the alternating direction implicit (ADI) technique is introduced.The method is unconditionally stable,and the maximum time-step size is not limited by the Courant-Friedrich-Levy (CFL) condition,but rather by numerical errors.Compared with the conventional FDTD method,the time-step size of ADI-FDTD can be much larger,so the simulation time is shortened,especially when the grid size is much smaller than wavelength.The perfect matched layer (PML) technique is used in ADI-FDTD calculation for the first time.The expressions for the exponential time-stepping algorithm in PML are derived.The ADI-FDTD method is validated by an example. |
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| Keywords: | FDTD alternating direction implicit technique (ADI) perfect matched layer (PML) |
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