作者：匡轮¹, 罗辉华¹, 匡尧²

作者单位：1. 北京无线电测量研究所, 北京 100039;
2. 北京大学数学科学学院, 北京 100871

关键词：复介电常数;谐振测试法;圆管样品;解析模型;基模

摘要：

针对圆环形介质元件制作在线监测的需要，提出用谐振法直接测试圆管状绝缘介质复介电常数的思路。提出4种可能的谐振结构形式，其中推演介质加载圆柱腔TM010模式谐振的解析模型，深入分析国外文献关于介质加载圆柱腔TE011模式谐振问题的理论结果，并对介质加载圆形同轴腔的特性方程用于复介电常数测量的问题进行探讨。对各个解析模型进行计算，并相应地与文献的实验结果进行对照，吻合良好。结果表明：TM010模式的解析模型正确；谐振特性参数对加载介质复介电常数（r=1~80，tan=10-5~10-4）的敏感性随结构的不同而不同。最终得出：圆柱腔TM010模式可用在谐振法测试圆管状绝缘介质元件的复介电常数中。

Analytical model of typical structures in resonance measurement on the complex permittivity of tubular sample

KUANG Lun¹, LUO Huihua¹, KUANG Yao²

1. Beijing Institute of Radio Measurement, Beijing 100039, China;
2. School of Mathematical Sciences, Peking University, Beijing 100871, China

Abstract: For the on-line monitoring demands of circular dielectric element manufacturing,the idea is put forward that the resonance method can be directly applied to test the complex permittivity of tubular insulating medium.Four kinds of resonance structures forms are proposed,and the analytical model of resonance in dielectric loaded cylindrical cavity TM₀₁₀ mode is derived;the theoretical results for a TE₀₁₁ mode resonant cavity in foreign literature are analysed deeply and the application of the characteristic equations of dielectric loaded circular coaxial cavities to the measurement of the complex permittivity is also explored.Besides,calculations are done for analytical models and they are accordingly compared with literature test results,which are identical.As a result,the analytical model of TM₀₁₀ mode is right,and the sensitivity of the resonant characteristics to the complex permittivity of loaded dielectric (ε_r=1-80,tanδ=10^-5-10^-4),differs from one structure to another.Finally,the results show that cylindrical cavity TM₀₁₀ mode can be used in the measurement of complex permittivity of resonant measurement for the complex permittivity of tubular insulation dielectric element in resonance method.

Keywords: complex permittivity;resonant measurement;tubular sample;analytical model;basic mode

2017, 43(10): 1-5  收稿日期: 2016-12-03;收到修改稿日期: 2017-01-17

基金项目: 

作者简介: 匡轮(1966-),男,湖北公安县人,研究员,硕士,研究方向为微波磁学、旋磁器件与电子材料技术。

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