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首页> 外文期刊>IEEE Transactions on Geoscience and Remote Sensing >A new tool for accurate S-parameters measurements and permittivity reconstruction
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A new tool for accurate S-parameters measurements and permittivity reconstruction

机译：精确测量S参数和介电常数的新工具

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摘要

In this paper, we present a tool for permittivity reconstruction. The tool consists of a coaxial transmission line and a novel analytical reconstruction technique. The line is designed for accurate permittivity measurements of soil samples. It allows for single or double phase flow. The full S-parameter matrix is modeled with transmission line theory. We show that for accurate measurements each component of the tool needs careful calibration. We give a method to compute the sensitivity of these measurements to different materials, and we show the accuracy in the determination of the sample permittivity from the measurements based on deviations of the forward model compared to measured results as a function of the error in the sample permittivity. We demonstrate that a maximum error of less than 1% is obtained for the possible permittivity reconstruction from these measurements for wavelengths less than five times the sample holder length. The novel reconstruction technique is based in the propagation matrices method. It consists in rewriting the transmission line model in matrix notation and relating the S-parameters to the total reflection and transmission of the line seen as a two-port network. Thanks to this novel approach, the reconstruction of both permittivity and permeability can be done directly from the measured S-parameters of the line. Due to experimental instabilities the errors are considerable, and we must restrict ourselves to the reconstruction of permittivity. Results on an air sample are within the predicted error of 1%. Computing relative errors for an ethanol sample is not possible due to temperature and purity difference between our experiment and published results; nevertheless, the reconstructed permittivity of ethanol follows the Debye model.
机译：在本文中，我们提出了介电常数重建的工具。该工具由同轴传输线和新颖的分析重建技术组成。该生产线专为准确测量土壤样品的介电常数而设计。它允许单相或双相流。使用传输线理论对完整的S参数矩阵建模。我们表明，为了进行准确的测量，工具的每个组件都需要仔细校准。我们提供了一种方法来计算这些测量值对不同材料的敏感性，并根据正向模型的偏差与测量结果（作为样品误差的函数）进行比较，显示了根据测量结果确定样品介电常数的准确性介电常数。我们证明对于小于五倍于样品架长度的波长的这些测量，对于这些可能的介电常数重建，可以获得小于1％的最大误差。新颖的重建技术基于传播矩阵方法。它包括用矩阵表示法重写传输线模型，并将S参数与被视为两端口网络的传输线的总反射和传输相关联。由于采用了这种新颖的方法，介电常数和磁导率的重建都可以直接从所测线的S参数中完成。由于实验的不稳定性，误差相当大，我们必须将自己限制在介电常数的重建上。空气样品的结果在1％的预测误差范围内。由于我们的实验与发表的结果之间存在温度和纯度差异，因此无法计算乙醇样品的相对误差。然而，乙醇的重构介电常数遵循Debye模型。

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