An Inversion Algorithm of Dynamic Light Scattering Based on Singular Value Decomposition

YU Xiangfei; YANG Hui; YANG Haima; ZHENG Gang; LI Jun; HU Hengqing; Mark BIGGS

doi:10.3788/gzxb20134211.1324

[2] BORSALI R, PECORA R. Soft matter characterization［M］. Netherlands: Springer Netherlands, 2008.

[3] ALEXANDER M, DALGLEISH D G. Dynamic light scattering techniques and their applications in food science［J］. Food Biophysics, 2006, 1(1): 2-13.

[4] SCHEFFOLD F, CERBINO R. New trends in light scattering［J］. Current Opinion in Colloid & Interface Science,2007, 12(2007): 50–57.

[5] YU Leishou. Iterative CONTIN algorithm for particle sizing in dynamic light scattering［J］. OptoElectronic Engineering, 2006, 33(8): 64-69.

[6] WANG Shaoqing, TAO Yewei, DONG Xueren. Analysis and comparison of arithmetic for inverting particle size distribution from photon correlation spectrum［J］. China Powder Science and Technology, 2005, 11(1): 27-32.

[7] FIRSKEN B J. Revisiting the method of cumulants for the analysis of dynamic light scattering data［J］. Applied Optics, 2001, 40(24): 4087.

[8] Brookhaven Instruments Corporation. Instruction manual for BI9000AT digital autocorrelator［EB］. New York: Holtsville, 1998: IX12IX16.

[9] PROVENCHER S W， HENDRIX J， DEMAEYER L, et al. Direct determination of molecular weight distributions of polystyrene in cyclohexane with photon correlation spectroscopy［J］. Journal of Chemical Physics, 1978, 69(9): 4273.

[10] LAW SON C L, HANSON R J. Solving least squares problem s［M ］ . Englewood: PrenticeHall, 1974: 319-342.

[11] CLEMENTI L A, VEGA J R, GUGLIOTTA L M. A Bayesian inversion method for estimating the particle size distribution of latexes from multiangle dynamic light scattering measurements［J］. Chemometrics and Intelligent Laboratory Systems, 2011, 107(1): 165–173.

[12] PATTY P J, FRISKEN B J. Direct determination of the numberweighted mean radius and polydispersity from dynamic lightscattering data［J］. Applied Optics, 2006, 45(10): 2209-2216.

[13] WANG Yajing, ZHENG Gang, SHEN Jin, et al. Computer simulation of bimodal distribution ultrafine particle dynamic light scattering and precision analysis［J］. Acta photonica Sinica, 2009, 38(9): 2337-2342.

[14] GRAVES E E, CULVER J P, RIPOLL J, et al. Singularvalue analysis and optimization of experimental parameters in fluorescence molecular tomography［J］. Journal of Optical Society of America, 2004, 21(2): 231-241.

[15] ZHANG Lei, QIU Chongjian. Three dimensional statisticalphysical method of atmospheric parameters retrievals from satellite infrared measurements［J］. Infrared Millim Waves, 2008, 27(2): 109-114.

[16] YE Tianyu. A robust zerowatermarking algorithm using variance in singular value decomposition domain［J］. Acta Photonica Sinica, 2011, 40(6): 961-966.

[17] YANG Yifeng, YANG Hui，ZHENG Gang, et al. Backscattering spectroscopy for sizing spherical submicron particles［J］. Acta photonica Sinica, 2011, 40(11): 1652-1656.

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