同轴谐振腔测量片状介质材料的介电常数  

Measurement of dielectric constant of flake dielectric materials by coaxial resonator

作　　者：彭小苗 颜锦奎[1] Peng Xiaomiao;Yan Jinkui(School of Communication&Information Engineering,Shanghai University,Shanghai 200436,China)

机构地区：[1]上海大学通信与信息工程学院,上海200436

出　　处：《电子测量技术》2022年第17期1-6,共6页Electronic Measurement Technology

摘　　要：基于同轴谐振腔,提出一种测量低损耗片状介质材料相对介电常数的方法。结合麦克斯韦方程组和电磁场边界条件,分析部分填充介质的同轴谐振腔内TEM谐振模,推导填充介质同轴谐振腔的本征方程。采用多项式拟合法简化计算模型。本文通过计算分析,设计一个空腔工作频率在1.8183 GHz的同轴谐振腔进行研究。在HFSS电磁仿真软件中进行仿真分析,研究填充介质材料的厚度和放置高度对测量结果的影响,仿真测量结果与理论模型结果一致。在实验中搭建测量系统实现全自动测量。实验测量同轴谐振腔空腔的谐振频率为1.8183 GHz。对FR4介质材料的相对介电常数进行测量。经过多次测量表明测量系统稳定性良好。实验结果符合实际标称值,与仿真误差小于5%,证明该方法的可行性和准确性。Based on a coaxial resonator,a method for measuring the relative permittivity of low-loss flake dielectric materials is proposed.Combined with Maxwell′s equations and electromagnetic field boundary conditions,the TEM resonant modes in the partially filled dielectric coaxial resonator are analyzed,and the eigen equations of the dielectric filled coaxial resonator are deduced.A polynomial fitting method was used to simplify the computational model.In this paper,a coaxial resonator with a cavity operating frequency of 1.8183 GHz is designed and analyzed by calculation and analysis.The simulation analysis was carried out in the HFSS electromagnetic simulation software to study the influence of the thickness of the filling medium material and the placement height on the measurement results.The simulation measurement results were consistent with the theoretical model results.In the experiment,a measurement system was built to realize automatic measurement.The experimentally measured resonant frequency of the coaxial resonator cavity is 1.8183 GHz.The relative permittivity of FR4 dielectric materials is measured.The stability of the measurement system is good after several measurements.The experimental results are in line with the actual nominal value,and the error with the simulation is less than 5%,which proves the feasibility and accuracy of the method.

关 键 词：同轴谐振腔 本征方程 介电常数 介质测量 数据拟合 

分 类 号：O441.5[理学—电磁学]