It is shown that the concentration of single-walled carbon nanotubes in polyethylene can be estimated using a spectral-correlation method, which consists of statistical processing of random intensity distributions (speckles) formed by scattering on optical inhomogeneity of the material. The optimal conditions for performing measurements are established, possible causes of errors are determined, and the statistical errors of measurements are estimated. Based on experimental data, expressions are obtained for approximating the dependence of the nanotube concentration on the half-width of the normalized cross-correlation function of the intensity distributions of backscattered radiation at different wavelengths. The possibility of using extrapolation of calibration dependencies for two different physical models (linear and exponential) is considered and the expediency of using a linear model at nanotube concentration above 2% is shown. The concentration of nanotubes in one of the elements of the high-voltage coupling design is evaluated and the possibility of detecting inhomogeneity of the filler concentration in the material is demonstrated.

中文翻译：

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谱相关法检测聚乙烯中碳纳米管浓度不均匀性


结果表明，聚乙烯中单壁碳纳米管的浓度可以使用光谱相关方法来估计，该方法包括对材料光学不均匀性散射形成的随机强度分布（散斑）进行统计处理。建立执行测量的最佳条件，确定可能的误差原因，并估计测量的统计误差。基于实验数据，获得了近似纳米管浓度对不同波长的后向散射辐射强度分布的归一化互相关函数半宽度的依赖性的表达式。考虑了对两种不同物理模型（线性和指数）使用校准依赖性外推的可能性，并显示了在纳米管浓度高于 2% 时使用线性模型的便利性。对高压耦合设计元件之一中纳米管的浓度进行了评估，并证明了检测材料中填料浓度不均匀性的可能性。