| MRTD和高阶FDTD算法的数值色散特性的分析 |
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| 引用本文： | 李康,孔凡敏,郭毅峰,王俊泉,梅良模. MRTD和高阶FDTD算法的数值色散特性的分析[J]. 系统仿真学报, 2005, 17(9): 2089-2091,2095 |
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| 作者姓名： | 李康 孔凡敏 郭毅峰 王俊泉 梅良模 |
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| 作者单位： | 山东大学信息科学与工程学院,山东济南,250100 |
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| 基金项目： | 教育部科学技术研究重点基金资助项目105101 |
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| 摘 要： | 时域多分辨分析（MRTD）算法和高阶时域有限差分法（HO-FDTD）是目前解决电大尺寸电磁结构仿真的有效手段。导出了基于Daubechies小波尺度函数的MRTD算法和HO-FDTD算法的通用差分公式和数值色散方程，并详细讨论了空间步长、时间步长以及电磁波传播方向对二者数值色散误差的影响。结果证明，MRTD算法与HO-FDTD算法非常相似，但HO-FDTD算法的数值色散特性优干具有相同展开项个数的MRTD算法。
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| 关 键 词： | 时域多分辨分析 高阶时域有限差分法 数值色散 电大尺寸电磁结构 |
| 文章编号： | 1004-731X（2005）09-2089-03 |
| 收稿时间： | 2004-08-18 |
| 修稿时间： | 2004-08-182005-06-06 |
Analysis of numerical dispersion properties of MRTD and higher-order FDTD schemes |
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| LI Kang,KONG Fan-min,GUO Yi-feng,WANG Jun-quan,MEI Liang-mo. Analysis of numerical dispersion properties of MRTD and higher-order FDTD schemes[J]. Journal of System Simulation, 2005, 17(9): 2089-2091,2095 |
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| Authors: | LI Kang KONG Fan-min GUO Yi-feng WANG Jun-quan MEI Liang-mo |
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| Affiliation: | School of Information Science and Engineering, Shandong University, Jinan 250100, China |
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| Abstract: | The Mutliresolution Time-domain method (MRTD) and the Higher-order Finite-difference Time-domain method (HO-FDTD) are efficient ways to simulate the electrical-large electromagnetic structures.The general difference formula and the numerical dispersion equation for the MRTD scheme based on the Daubechies scaling functions and the FDTD method with higher-order approximate were deduced.The effects of spatial grid,time interval and propagation angle on the dispersion error were discussed in details.The numerical results show that MRTD schemes are similar to HO-FDTD methods;however,the numerical dispersion property of HO-FDTD is superior to that of MRTD scheme with the same number of the expending polynomial. |
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| Keywords: | Mutliresolution time domain Higher-order finite-difference time-domain Numerical dispersion Electrically large electromagnetic structures |
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