基于模式搜索的光谱消光粒径分布反演算法的研究

发展快速有效的反演算法用于粒径分布的重建是颗粒测量领域重要的研究课题之一。在光谱消光法粒径测量中，提出将模式搜索算法用于独立模式下粒径分布的重建，同时引入Tikhonov平滑泛函构建算法的目标函数，为保证搜索过程的快速性和准确性，设计了关于初始点的优选策略。利用该算法测量国家标准颗粒体积平均直径的相对误差为3.14%，不超过国家标准物质局给出的±8%的范围，且粒径分布宽度合理，没有明显展宽和伪峰现象。与Phillips-Twomey方法和遗传算法的对比结果表明，在综合考虑反演精度和反演时间条件下，该算法具有明显优势，更适合于快速准确的现场测量，具有较好的应用前景。

Research on Pattern Search Method for Inversion of Particle Size Distribution in Spectral Extinction Technique

Development of rapid and efficient inversion methods for retrieval of particle size distribution (PSD) is an important subject of research effort. The main intention of the present paper is to develop pattern search method combined with Tikhonov smoothing functional for the determination of un-parameterized shape-independent PSD in spectral extinction technique. To ensure a good rapidity and accuracy of the whole search process, a competitive strategy was also designed. The inversion results for standard spherical polystyrene samples using the proposed method show that the relative error for volume mean diameter is 3.14% which does not exceed the range of ±8% specified by the National Bureau of Standard Reference Material of China. Moreover, the breadth of the inversed PSD is satisfied and there are not obvious artifact peaks. When compared with Phillips-Twomey method and genetic algorithm, the modified pattern search method has advantages concerning the inversion precision and inversion time, which makes the proposed method more suitable for quick and accurate measurement of particle sizing.