单组分染料浓度光量子隧穿软测量模型研究

针对基于Lambert-Beer定律的分光光度计测量深颜色,高浓度染液存在的精度低,结果不稳定等问题,提出一种软测量模型,将单色光看作光量子,将染料分子视为一维谐振子势垒,应用薛定谔方程求解出光量子隧穿染液的透射率,得到吸光度与染液浓度,测试光波长的数学模型.在测试光波长400～700 nm范围内对模型进行简化,并由最大吸光度及对应的波长得到染液浓度与最大吸光度的软测量模型,用最小二乘法确定具体染料的模型系数,实现由最大吸光度测量染料浓度.本文的单组分染料浓度光量子隧穿软测量模型从光量子与染料分子的微观作用解释了Lambert-Beer定律的选择吸收性,对于深颜色,高浓度染液的浓度预测有更好的效果,扩大了分光光度计对染液浓度的测量范围,提高了测量精度.

A study of soft sensor model of single-component dye concentration based on optical quantum tunneling penetration

Aiming at the problems of low accuracy and unstable results of the spectrophotometer based on Lambert-Beer law in measuring dye concentration in high concentration and dark color dye solution, a soft sensor model is presented. The monochromatic light is regarded as light quantum, the dye molecule is regarded as a one-dimensional harmonic oscillator barrier, Schrödinger equation is used to solve the transmission of light quantum in tunneling penetrating through dye solution, and a mathematical model of the relationship among absorbance, dye concentration and the wavelength of the tested light is obtained. Furthermore, the model is simplified in the range of 400~700 nm of testing wavelength and a soft sensor model of dye solution concentration versus absorbance is obtained from the maximum absorbance and corresponding wavelength. The least square method is used to determine the model coefficients of a certain dye, at last, measuring dye concentration from maximum absorbance is achieved. In this paper, the soft sensor model of single-component dye concentration based on optical quantum tunneling penetration explains the selective absorption of Lambert-Beer law from the microscopic interaction between optical quantum and dye molecules. The model has a good effect on the concentration prediction of deep color and high concentration dye solution, expands the dye solution concentration measurement range of spectrophotometer, and improves the measurement accuracy.