Chinese Journal of Lasers, Volume. 42, Issue 9, 908003(2015)
Influence of Regularization Matrix on Inversion of Bimodal Dynamic Light Scattering Data
[2] [2] Dou Zhenhai, Wang Yajing, Shen Jin, et al.. A hybrid non-negative constraint inversion of dynamic light scattering based on truncated singular value decomposition[J]. Chinese J Lasers, 2013, 40(6): 0608001.
[3] [3] Wang Zhiyong, Cai Xiaoshu, Xu Chengze, et al.. Nanoparticle sizing by image processing with dynamic light scattering[J]. Acta Optica Sinica, 2014, 34(1): 0129002.
[4] [4] Provencher S W. CONTIN: A general purpose constrained regularization program for inverting noisy linear algebraic and integral equations[J]. Comput Phy Commun, 1982, 27(3): 229-242.
[5] [5] Mcwhirter J G, Pike E R. On the numerical inversion of the Laplace transform and similar Fredholm integral equations of the first kind[J]. Phys A: Math Gen, 1978, 11(9): 1729-1745.
[6] [6] Dahneke B E. Measurement of Suspended Partieles by Quasi-Elastie Light Scattering[M]. New York: Wiley Interscience, 1983.
[7] [7] Sun Y F, Walker J G. Maximum likelihood data inversion for photon correlation spectroscopy[J]. Meas Sci Technol, 2008, 19(11): 115302.
[8] [8] Morrison I D, Grabowski E F, Herb C A. Improved techniques for particle size determination by quasi-elastic light scattering[J]. Langmuir, 1985, 1(4): 496-501
[9] [9] Han Qiuyan, Shen Jin, Sun Xianming, et al.. A posterior choice strategies of the tikhonov regularization parameter in the inverse algorithm of the photon correlation spectroscopy particle sizing techniques[J]. Acta Photonica Sinica, 2009, 38(11): 2917-2926.
[10] [10] Zhu X J, Shen J, Liu W, et al.. Nonnegative least- squares truncated singular value decomposition to particle size distribution inversion from dynamic light scattering data[J]. Appl Opt, 2010, 49(34): 6591-6596.
[11] [11] Tikhonov A N, Arsenin V Y. Solution of Ill-Posed Problems[M]. Washington: Winston, 1977.
[12] [12] Zhu Xinjun, Shen Jin, Thomas J C. Analysis of noisy dynamic light scattering data using constrained regularization techniques[J]. Appl Opt, 2012, 51(31): 7537-75488.
[13] [13] Cullum Jane. The effective choice of the smoothing norm in regularization[J]. Mathematics of computation, 1979, 33: 149-170.
[15] [15] Li Longxiang, Deng Weijie, Zhang Binzhi, et al.. Dwell time algorithm for large aperture optical element in magnetorheological finishing[J]. Acta Optica Sinica, 2014, 34(5): 0522001.
[16] [16] Golue G H, Heath M, Wahba G. Generalized cross-validation as a method for choosing a good ridge parameter[J]. Technometrics, 1979, 21(2): 215-223.
[17] [17] Hansen P C. Regularization tools: A matlab package for analysis and solution of discrete ill- posed problems[J]. Numerical Algorithms, 1994, 6(1): 1-35.
[18] [18] Yu A B, Standish N. A study of particle size distributions[J]. Powder Technol, 1990, 62(2): 101-118.
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Liu Wei, Wang Yajing, Chen Wengang, Ma Lixiu, Shen Jin. Influence of Regularization Matrix on Inversion of Bimodal Dynamic Light Scattering Data[J]. Chinese Journal of Lasers, 2015, 42(9): 908003
Received: Feb. 15, 2015
Accepted: --
Published Online: Sep. 6, 2015
The Author Email: Wei Liu (weikey@sdut.edu.cn)