Truncated Singular Value Decomposition Inversion Based on Extended Nuclear Matrix in Dynamic Light Scattering

HUANG Yu; SHEN Jin; XU Min; SUN Cheng; LIU Wei; SUN Xian-ming; WANG Ya-jing

doi:10.3788/gzxb20184707.0729001

[1] LIU Wei, WANG Ya-jing, SHEN Jin. Optimal fitting cumulants method for dynamic light scattering［J］. Acta Optica Sinica, 2013, 33(12): 1229001.

[2] INANOV D A, WINKELMANNJ. Multiexponential decay autocorrelation function in dynamic light scattering in near-critical ternary liquid mixture［J］. Journal of Chemical Physics, 2006, 125(10): 104507.

[3] ANSARI R R, NYEO S L. Submicron particle size distributions by dynamic light scattering with non-negative least-squares algorithm［J］. Chinese Journal of Physics, 2012, 50(3): 459-477.

[4] ZHU X, SHEN J, THOMAS J C, et al. Analysis of noisy dynamic light scattering data using constrained regularization techniques.［J］. Applied Optics, 2012, 51(31): 7537-7548.

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

[6] HANSEN P C. The truncated SVD as a method for regularization［J］. Bit Numerical Mathematics, 1987, 27(4): 534-553.

[7] DOU Zhen-hai, WANG Ya-jing, SHEN Jin, et al. A hybrid non-negative inversion of dynamic light scattering based on truncated singular value decomposition［J］. Chinese Journal of Lasers, 2013, 40(6): 0608001.

[8] XU Min, SHEN Jin, ZHU Xin-jun, et al. Recovery of bimodal particle size distributions with multiangle dynamic light scattering［J］.Acta Photonica Sinica,2017, 46(2): 0229001.

[9] ARIAS M L, FRONTINI G L. Particle size distribution retrieval from elastic light scattering measurements by a modified regularization method［J］. Particle & Particle Systems Characterization, 2006, 23(5): 374-380.

[10] ZHU X, SHEN J, LIU W, et al. Nonnegative least-squares truncated singular value decomposition to particle size distribution inversion from dynamic light scattering data［J］. Applied Optics, 2010, 49(34): 6591-6596.

[11] YU Xiang-fei, YANG Hui, YANG Hai-ma, et al. An inversion algorithm of dynamic light scattering based on singular value decomposition［J］. Acta Photonica Sinica, 2013, 42(11): 1324-1328.

[12] HU Hua, ZHANG Fu-gen, L Qie-ni, et al. Study on the upper limit of laser particle size analyzer［J］. Acta Optica Sinica, 2018, 38(04): 0429001.

[13] GAO Ming-liang, WANG Xue-min, SHEN Jin, et al. Influence path of angular error on multiangle dynamic light scattering measurement［J］. Acta Photonica Sinica, 2017, 46(10): 1029002.

[14] LIU X, SHEN J, THOMAS J C, et al. Multiangle dynamic light scattering analysis using angular intensity weighting determined by iterative recursion［J］. Applied Optics, 2012, 51(7): 846-854.

[15] XU M, SHEN J, THOMAS J C, et al. Information-weighted constrained regularization for particle size distribution recovery in multiangle dynamic light scattering［J］. Optics Express, 2018, 26(1): 15-31.

[16] BERMEO L A, CAICEDO E, CLEMENTI L,et al. Estimation of the particle size distribution of colloids from multiangle dynamic light scattering measurements with particle swarm optimization［J］. Ingeniería E Investigación, 2015, 35(1): 49-54.