The Singular Point of Boundary Integral Equations and the Cutoff Wave Numbers of Waveguide

刘志钧; 杨弃疾

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The Singular Point of Boundary Integral Equations and the Cutoff Wave Numbers of Waveguide

更新时间：2025-12-08

- The Singular Point of Boundary Integral Equations and the Cutoff Wave Numbers of Waveguide
- Acta Electronica Sinica Issue 3, (1995)
- 作者机构：
  
  清华大学电子工程系
- 作者简介：
- 基金信息：
- DOI：
  CLC： O175.8
- Published：1995
- 稿件说明：
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[1]刘志钧,杨弃疾.边值积分方程的奇点与波导截止波数[J].电子学报,1995(03):6-8.

刘志钧, 杨弃疾. The Singular Point of Boundary Integral Equations and the Cutoff Wave Numbers of Waveguide[J]. Acta Electronica Sinica, 1995, (3).
[1]刘志钧,杨弃疾.边值积分方程的奇点与波导截止波数[J].电子学报,1995(03):6-8. DOI：

刘志钧, 杨弃疾. The Singular Point of Boundary Integral Equations and the Cutoff Wave Numbers of Waveguide[J]. Acta Electronica Sinica, 1995, (3). DOI：

摘要

证明了导体柱面外部散射场Ｅ＿ｚ￣（ｓ）、Ｈ＿ｚ￣（ｓ）的边值积分方程的奇点ηＥ和ηＨ相等．从而提出用解边值积分方程的方法求波导截止波数．其中对Ｅ模和Ｈ模可共用一套程序，只需调节主对角线元素的符号．Ｅ模的截止波数同时就是外部散射问题的奇点．

Abstract

A result is proved that the singular pointsηE and ηH of the boundary integral equations of the outer scattering fields E

￣（s）and H

￣（s） of a cylindrical conducting surface are equal. Then a method for solving the cutoff wave numbers of waveguide is suggested

in which the same one program may be used commonly for E mode and H mode. The only change needed is the adjustment of the sign of the main diagonal elements. The cutoff wave numbers of E mode are also the singular points for the outer scattering problem.

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