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应用科学学报 ›› 2005, Vol. 23 ›› Issue (1): 103-107.

• 论文 • 上一篇    下一篇

非匀质单元差分网格中等效介电常数值的一种近似表达

包秀龙1, 李征帆1, 孙晓玮2   

  1. 1. 上海交通大学电子工程系, 上海 200030;
    2. 中科院上海微系统与信息技术研究所, 上海 200050
  • 收稿日期:2003-10-26 修回日期:2004-01-06 出版日期:2005-01-31 发布日期:2005-01-31
  • 作者简介:包秀龙(1968-),男,安徽贵池人,博士,E-mail:bxlong@sina.com;李征帆(1936-),男,浙江宁波人,教授,博导;孙晓玮(1958-),女,陕西西安人,教授,博导.

An Approximate Expression of the Effective Permittivity in the Inhomogeneous Difference Unit Grid

BAO Xiu-long1, LI Zheng-fan1, SUN Xiao-wei2   

  1. 1. Department of Electronic Engineering, Shanghai Jiaotong University, Shanghai 200030, China;
    2. The Institute of Microsystems and Information Technique, Chinese Academy of Science, Shanghai 200050, China
  • Received:2003-10-26 Revised:2004-01-06 Online:2005-01-31 Published:2005-01-31

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被引次数

1

摘要： 利用"电容串并联"的电路概念推导出不同介质分界面单元差分网格处沿x,y,z轴3个方向上等效介电常数值的表达公式,并应用于时域有限差分法和时域多分辨率法中计算介质加载谐振腔的谐振频率.计算算例表明:该方法既具有灵活地剖分网格的优点,也能保证很高的计算精度,还可节省计算时间和计算机内存.此等效介电常数值的近似公式也可在其他差分法中得到应用,以提高计算效率.

关键词: 时域有限差分, 等效介电常数, 时域多分辨率, 非匀质单元网格

Abstract: By applying the circuit concept of series-parallel connection of capacitance, the approximate formulae of effective permittivities along x, y, z axes for various inhomogeneous cell grids are obtained.These formulae are combined with the FDTD scheme and MRTD method of the arbitrary spatial grid to calculate the resonant frequency of resonance cavity under the condition of numerical stability.This method can save computing time and memory than the conventional FDTD method.These effective permittivities formulae are also applied in the difference method for other electromagnetic problems.

Key words: FDTD, inhomogeneous cell grid, effective permittivity, MRTD

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