基于波导装置的吸波材料电磁参数测量方法不确定度分析
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1.中国福建光电信息科学与技术创新实验室(闽都创新实验室);2.中国科学院福建物质结构研究所

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TM934.33

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中国福建光电信息科学与技术创新实验室(闽都创新实验室)(项目编号:2020ZZ101)资助项目


Uncertainty analysis for electromagnetic parameter measurement method of absorbing materials based on waveguide device
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    摘要:

    材料电磁参数采用复介电常数和复磁导率来表征。由于基于传输/反射法的电磁参数求解公式的非线性、诸多不确定度来源及其相关性,运用解析法分析材料电磁参数测量结果的不确定度极为复杂,本文引入蒙特卡洛法以简化分析计算并研究影响系统不确定度的关键因素。对矢量网络分析仪测量S参数幅度和相位不确定度、波导夹具尺寸容差引入的不确定度进行了推导,并分析了各项不确定来源及概率密度函数。以聚四氟乙烯样品18GHz~26.5GHz频段电磁参数测量为例,使用蒙特卡洛法分析了其系统不确定度并给出了22GHz频点处的不确定预算。阐释了样品电磁参数本身对测量不确定度的影响机理。研究结果表明:蒙特卡洛法可有效分析基于波导装置的材料电磁参数测量结果的不确定度。对于示例频段内的聚四氟乙烯样品,S参数幅值及相位不确定度的是影响电磁参数测量结果不确定度的主要因素。若被测样品电磁参数使矢量网络分析仪接收机接收功率处于底噪及串扰影响区,测量结果不确定度将显著增大。

    Abstract:

    The electromagnetic parameters of materials are characterized by complex permittivity and complex permeability. Owing to the nonlinearity of the formulas for solving electromagnetic parameters based on the transmission/reflection method, numerous sources of uncertainties and their correlations, it is extremely complicated to analyze the uncertainty of the measuring results of material electromagnetic parameters using the analytical methods. In this paper, Monte Carlo method is introduced to simplify the analysis and to study the key factors influencing the system uncertainty. The uncertainties of the amplitude and phase of the S parameters measured by the vector network analyzer and the uncertainties introduced by the dimensional tolerance of the waveguide fixture are deduced, and the various uncertainty sources and their probability density functions are analyzed. Taking the measurement of the electromagnetic parameters of PTFE sample at 18GHz to 26.5GHz frequency band as an example, the systematic uncertainty of the measurement is analyzed using the Monte Carlo method, and an uncertainty budget at 22GHz frequency point is given. The influence mechanism of the sample's own electromagnetic parameters on the measurement uncertainty is elucidated. The research results indicate that the Monte Carlo method can effectively analyze the uncertainty of the measuring results of material electromagnetic parameters based on waveguide devices. For the PTFE sample in the example frequency range, the uncertainties of the amplitude and phase of the S parameters are the main factors affecting the uncertainty of electromagnetic parameters measurement results. If the electromagnetic parameters of the tested sample cause the vector network analyzer receiver to receive power within the noise and crosstalk influence area, the uncertainty of the measurement results will increase significantly.

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  • 收稿日期:2024-08-14
  • 最后修改日期:2024-12-19
  • 录用日期:2024-12-24
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