| 用变形差分公式计算波导高阶模的截止频率 |
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| 引用本文： | 尤丽佳,郑勤红,向泰,张方涛,李琳,胥万松.用变形差分公式计算波导高阶模的截止频率[J].云南师范大学学报(自然科学版),2012,32(1):52-55. |
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| 作者姓名： | 尤丽佳 郑勤红 向泰 张方涛 李琳 胥万松 |
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| 作者单位： | 云南师范大学物理与电子信息学院,云南昆明,650092 |
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| 基金项目： | 国家自然科学基金重点项目资助(50734007) |
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| 摘 要： | 对差分法所获的离散差分公式作矩阵变换,使差分离散方程的系数矩阵对于波导的各阶模都是正定的,从而可利用该变形离散方程计算波导各个高阶模的截止频率。编程实例计算了矩形波导、L形波导、对称脊波导部分高阶模的截止频率。计算结果表明：用变形差分公式计算高阶模的截止频率,不仅具有较高的计算精度,而且可以很方便地用于各种复杂截面波导问题的设计与分析。
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| 关 键 词： | 波导 变形差分公式 高阶模 截止频率 |
Computation of Cutoff Frequency of the High-order Modes by the Modified Finite Difference Method(FDM) |
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| YOU Li-jia
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ZHENG Qin-hong
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XIANG Tai
,
ZHANG Fang-tao
,
LI Lin
,
XU Wan-song.Computation of Cutoff Frequency of the High-order Modes by the Modified Finite Difference Method(FDM)[J].Journal of Yunnan Normal University (Natural Sciences Edition),2012,32(1):52-55. |
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| Authors: | YOU Li-jia ZHENG Qin-hong XIANG Tai ZHANG Fang-tao LI Lin XU Wan-song |
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| Affiliation: | (School of Physics and Electronic Information,Yunnan Normal University,Kunming 650092,China) |
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| Abstract: | The convergence standard requires that the matrix should be positive definite,while the coefficient matrix obtained by finite difference method(FDM) and related with the high-order mode of waveguide is not satisfied the standard.In this paper,this matrix directly obtained by the FDM is modified and the positive definite condition is satisfied.Representative computational examples,the cut-off frequencies of the high-order modes of,rectangular waveguide,L-shape waveguide,and symmetric ridge waveguide are calculated.The results demonstrate the accuracy and flexibility of the modified FDM. |
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| Keywords: | Waveguide modified finite difference formula high-order mode cutoff frequency |
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