Quasi-linear least squares and computer code for numerical evaluation of relaxation time distribution from broadband dielectric spectra
Quasi-linear least squares and computer code for numerical evaluation of relaxation time distribution from broadband dielectric spectra
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用于从宽带介电谱中数值评估弛豫时间分布的准线性最小二乘法和计算机代码
DOI：
10.1088/0953-8984/23/2/025903
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发表时间：
2011
期刊：
影响因子：
--
通讯作者：
R. Buchner
中科院分区：
文献类型：
--
作者：
A. Zasetsky;R. Buchner
本文提出了一种新的电介质弛豫时间分布函数数值计算的拟合程序和计算机程序。该方法基于线性最小二乘最小化，主要针对复介电常数的复合实验谱的分析。它快速，坚固，易于使用。不需要事先知道弛豫模式的数量、它们的特征时间、弛豫强度或底层弛豫时间分布函数的函数形式，而是确定这些参数。用具有明确的介电弛豫参数的合成谱和不同类型的实验宽频带介电谱对该方法进行了验证。我们相信，这种新的拟合仪器，它允许一种无偏的方法来正式描述介电光谱，可能会在介电光谱的许多领域感兴趣。
We present a new fitting procedure and computer code for numerical evaluation of dielectric relaxation time distribution functions. The technique is based on linear least squares minimization and aims primarily at the analysis of compound experimental spectra of complex dielectric permittivity. It is fast, robust, and easy to use. No prior knowledge about the number of relaxation modes, their characteristic times, relaxation strengths, or the functional form of the underlying relaxation time distribution function is required, the procedure determines these parameters instead. The method is tested by both synthetic spectra with well-defined parameters of dielectric relaxation and experimental wide-band dielectric spectra of different types. We believe that this new fitting instrument, which allows an unbiased approach to the formal description of dielectric spectra, may be of interest in many areas of dielectric spectroscopy.