一种多元非线性模型在激光诱导击穿光谱定量分析中的应用

现有的激光诱导击穿光谱定量分析模型大多是基于激光诱导等离子体处于局部热平衡这一假设，而实际上等离子体只是在有限的时间、空间内近似处于热平衡状态。非热平衡状态下各个能级上的粒子布居数不服从玻尔兹曼分布，故用某一能级的单一谱线做定量分析会带来一定误差。考虑到等离子体的非热平衡状态，提出了一种多元非线性定量分析模型，该模型充分利用了待分析粒子的不同上能级对应的多条跃迁谱线信息，能够有效减小信号不稳定对定量分析结果的影响。利用此模型和建立在等离子体局部热平衡假设上的单谱线内标模型分别对30块钢铁样品中Mn元素的含量进行定量分析对比，对比结果表明，多元非线性模型的测量准确性和重复性均优于单谱线内标模型。

A Multivariate Nonlinear Model for Quantitative Analysis in Laser-Induced Breakdown Spectroscopy

Most quantitative models used in laser-induced breakdown spectroscopy (LIBS) are based on the hypothesis that laser-induced plasma approaches the state of local thermal equilibrium (LTE). However, the local equilibrium is possible only at a specific time segment during the evolution. As the populations of each energy level does not follow Boltzmann distribution in non-LTE condition, those quantitative models using single spectral line would be inaccurate. A multivariate nonlinear model, in which the LTE is not required, was proposed in this article to reduce the signal fluctuation and improve the accuracy of quantitative analysis. This multivariate nonlinear model was compared with the internal calibration model which is based on the LTE condition. The content of Mn in steel samples was determined by using the two models, respectively. A minor error and a minor relative standard deviation (RSD) were observed in multivariate nonlinear model. This result demonstrates that multivariate nonlinear model can improve measurement accuracy and repeatability.