Abstract：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.
王 丽，孙晓刚 . 基于模式搜索的光谱消光粒径分布反演算法的研究 [J]. 光谱学与光谱分析, 2013, 33(03): 618-622.
WANG Li, SUN Xiao-gang . Research on Pattern Search Method for Inversion of Particle Size Distribution in Spectral Extinction Technique. SPECTROSCOPY AND SPECTRAL ANALYSIS, 2013, 33(03): 618-622.
[1] WANG Nai-ning(王乃宁). Optic Measurement Technology of Particle Size and Its Application(颗粒粒径的光学测量技术及应用). Beijing： Atomic Energy Press(北京：原子能出版社)，2000. 212. [2] XU Feng，CAI Xiao-shu，SU Ming-xu, et al（徐 峰，蔡小舒，苏明旭，等）. Journal of Power Engineering（动力工程），2009，29(3)：254. [3] Zuo H Y，Liu Q J，Wang J Y，et al. Optics Letters，2010，35(9)：1380. [4] Kandlikar M, Ramachandran G. J. Aerosol Sci., 1999, 30: 413. [5] Riefler N, Wriedt T. Part. Part. Syst. Charact.，2008, 25: 216. [6] YAN Jian-hua，HUANG Qun-xing，MA Zeng-yi, et al（严建华, 黄群星，马增益，等）. Acta Metrologica Sinica（计量学报），2005，26(1)：86. [7] DUAN Ya-li，SU Rong-guo，SHI Xiao-yong, et al（段亚丽，苏荣国，石晓勇，等）. Spectroscopy and Spectral Analysis（光谱学与光谱分析），2012，32(6)：1562. [8] Torczon V. SIAM J. Optm., 1997, 7: 1. [9] Doicu A, Trautmann T, Schreier F. Numerical Regularization for Atmospheric Inverse Problems. Springer-Praxis Press, 2010. [10] HUANG Tian-yun（黄天云）. Chinese J. Computers（计算机学报），2008，31(7)：1200. [11] CHUN Jing, WU Yu-lie, DAI Yi-fan, et al（淳 静，吴宇列，戴一帆，等）. Optics and Precision Engineering（光学精密工程），2006, 14(2): 236. [12] Audet C, Dennis J E. SIAM J. Optm., 2000,11: 573.
