应用科学学报 ›› 2003, Vol. 21 ›› Issue (2): 205-208.

• 论文 • 上一篇    下一篇

频域有限差分法在二维周期导波结构中的应用

许锋, 洪伟, 周后型   

  1. 东南大学国家毫米波重点实验室 江苏 南京 210096
  • 收稿日期:2002-03-10 修回日期:2002-06-07 出版日期:2003-06-10 发布日期:2003-06-10
  • 作者简介:许锋(1963-),男,江苏如皋人,博士生;洪伟(1962-),男,回族,河北张家口人,教授,博导.

The Application of the Finite Difference Frequency Domain Method in Two Dimension Periodic Guided Waves Structures

XU Feng, HONG Wei, ZHOU Hou-xing   

  1. State Key Laboratory of Milimeter Waves, Southeast University, Nanjing 210096, China
  • Received:2002-03-10 Revised:2002-06-07 Online:2003-06-10 Published:2003-06-10

摘要: 提出了一种计算二维周期导波结构的频域有限差分(FDFD)法。在电场边界和磁场边界上同时使用Flo-quet定理,从而将计算域限制在一个周期结构内,并且导波结构侧面可引入吸收边界条件,保证了计算精度.通过计算矩阵的本征值获得传播常数,而无需求解关于传播常数的高阶超越方程,极大地提高了计算速度。

关键词: Floquet定理, 频域有限差分法, 矩阵本征值, 周期导波结构

Abstract: A novel finite-difference freqency-domain method is presented for the analysis of electromagnetic wave propagation in periodic structures. The boundary conditions are set according to Floquet's theorem for periodic structures. Floquet's theorem is used both on the electric field boundary and the magnetic field boundary. Thus, the computational domain is restricted to a single period, and the absorbing boundary conditions can be used on the other boundaries. The propagation constant can be obtained by means of calculating matrix eigenvalues, and there is no need to solve the high-order equation. In this way, the calculation time is greatly saved.

Key words: finite-difference freqency-domain, Floquet's theorem, periodic guided waves structures, matrix eigenvalues

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