Uncertainty quantification and design-of-experiment in absorption-based aqueous film parameter measurements using Bayesian inference.
Uncertainty quantification and design-of-experiment in absorption-based aqueous film parameter measurements using Bayesian inference.
复制标题
使用贝叶斯推理进行基于吸收的水膜参数测量的不确定性量化和实验设计。
DOI：
10.1364/ao.56.0000e1
复制
发表时间：
2017
期刊：
影响因子：
1.9
通讯作者：
C. Schulz
中科院分区：
文献类型：
--
作者：
R. Pan;K. Daun;T. Dreier;C. Schulz
基于二极管激光的水膜多波长近红外（NIR）吸收是一种很有前途的诊断方法，可以进行时间分辨，同时测量膜厚度，温度和溶质浓度。我们之前在尿素水溶液中的工作旨在同时确定其中两个系统参数，而第三个必须固定或通过额外的测量指定。目前的工作提出了同时基于近红外吸收的厚度、温度和溶质浓度的多参数测量，以及用于推断所获得数据的概率密度的贝叶斯方法。贝叶斯分析是基于温度和浓度相关的光谱数据库，该数据库由傅里叶变换红外光谱仪在5500-8000 cm-1范围内生成，用于温度和尿素浓度变化的水。该概念首先通过使用校准单元进行测量验证。采用马尔可夫链蒙特卡罗算法对测量参数的概率密度进行量化，并利用该算法推导可信区间。作为一个实际演示，我们记录了沉积在透明加热石英板上的液膜在蒸发过程中膜厚度、尿素浓度和液体温度的时间变化。
Diode laser-based multi-wavelength near-infrared (NIR) absorption in aqueous films is a promising diagnostic for making temporally resolved, simultaneous measurements of film thickness, temperature, and concentration of a solute. Our previous work in aqueous urea solutions aimed at determining simultaneously two of these system parameters, while the third one must be fixed or specified by additional measurements. The current work presents a simultaneous NIR absorption-based multi-parameter measurement of thickness, temperature, and solute concentration coupled with the Bayesian methodology that is used to infer probability densities for the obtained data. The Bayesian analysis is based on a temperature- and concentration-dependent spectral database generated with a Fourier transform infrared spectrometer in the range 5500-8000 cm-1 for water with variable temperature and urea concentration. The concept was first validated with measurements using a calibration cell. Probability densities in the measured parameters were quantified using a Markov chain Monte Carlo algorithm, which were used to derive credibility intervals. As a practical demonstration, the temporal variation of film thickness, urea concentration, and liquid temperature were recorded during evaporation of a liquid film deposited on a transparent heated quartz plate.