Twynstra Matthew G, Daun Kyle J
Department of Mechanical and Mechatronics Engineering, University of Waterloo, Waterloo, Ontario, Canada.
Appl Opt. 2012 Oct 10;51(29):7059-68. doi: 10.1364/AO.51.007059.
Laser-absorption tomography experiments infer the concentration distribution of a gas species from the attenuation of lasers transecting the flow field. Although reconstruction accuracy strongly depends on the layout of optical components, to date experimentalists have had no way to predict the performance of a given beam arrangement. This paper shows how the mathematical properties of the coefficient matrix are related to the information content of the attenuation data, which, in turn, forms a basis for a beam-arrangement design algorithm that minimizes the reliance on additional assumed information about the concentration distribution. When applied to a simulated laser-absorption tomography experiment, optimized beam arrangements are shown to produce more accurate reconstructions compared to other beam arrangements presented in the literature.
激光吸收断层扫描实验通过横穿流场的激光的衰减来推断气体物种的浓度分布。尽管重建精度在很大程度上取决于光学组件的布局，但迄今为止，实验人员尚无办法预测给定光束排列的性能。本文展示了系数矩阵的数学特性如何与衰减数据的信息内容相关，而衰减数据的信息内容反过来又构成了一种光束排列设计算法的基础，该算法可最大限度地减少对浓度分布的额外假设信息的依赖。当应用于模拟激光吸收断层扫描实验时，与文献中提出的其他光束排列相比，优化后的光束排列显示出能产生更准确的重建结果。
