Difference Between the Method of Moments and the Finite Element Method for Estimation of Complex Permittivity in Liquids Using a Coaxial Probe
Difference Between the Method of Moments and the Finite Element Method for Estimation of Complex Permittivity in Liquids Using a Coaxial Probe
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使用同轴探头估算液体中复介电常数的矩量法与有限元法之间的差异
DOI：
10.1109/emceurope.2019.8871604
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发表时间：
2019
期刊：
影响因子：
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通讯作者：
Masaki Kobayashi
中科院分区：
文献类型：
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作者：
K. Shibata;Masaki Kobayashi
在本研究中，应用矩量法（MoM；一种基于横向电磁（TEM）模式分析的技术）来估计液体中的复介电常数。这代表了一个反问题，该问题基于同轴探针方法（有利于在宽频率范围内测量液体介电常数）和 S11 测量值与基于与未知材料接触期间的电磁 (EM) 分析的计算值的比较。假设样品和法兰之间存在接触，使用 2D Newton-Raphson 方法基于反演问题来估计某些液体类型的介电常数，以与使用 MoM 和有限元法 (FEM) 在 0.50、1.5 和 3.0 GHz 频率下计算的 S11 值一致。使用 MoM 估计复介电常数的结果也与使用 FEM 计算 S11 相关的设定介电特性值进行了比较。然后定量计算与S11计算相关的材料常数的各值之间的差。与 FEM 应用相比，使用同轴探针方法进行 MoM 应用的纯水介电常数样本结果包括实部 0.374 至 1.238% 和虚部 0.107 至 0.837% 的差异。
In this study, the method of moments (MoM; a technique based on transverse electromagnetic (TEM) mode analysis) was applied for estimation of complex permittivity in liquids. This represents an inverse problem based on a combination of the coaxial probe approach (which facilitates measurement of liquid dielectric constants over a broad frequency range) and comparison of S11 measurement values with calculated values based on electromagnetic (EM) analysis for periods of contact with an unknown material. The dielectric constants of certain liquid types were estimated assuming contact between the sample and the flange based on an inverse problem using the 2D Newton-Raphson method to coincide with S11 values calculated using the MoM and the finite element method (FEM) at frequencies of 0.50, 1.5 and 3.0 GHz. The results of complex permittivity estimation using the MoM were also compared with set dielectric property values associated with S11 calculation using the FEM. The difference between each value in the material constant relating to S11 calculation was then quantitatively calculated. Sample results include differences of 0.374 to 1.238% for the real part and 0.107 to 0.837% for the imaginary part in the permittivity of pure water with MoM application using the coaxial-probe approach as compared to FEM application.