• Chinese Journal of Lasers
  • Vol. 40, Issue 6, 608001 (2013)
Dou Zhenhai1、2、*, Wang Yajing1, Shen Jin1, Liu Wei1, and Gao Shanshan1
Author Affiliations
  • 1[in Chinese]
  • 2[in Chinese]
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    DOI: 10.3788/cjl201340.0608001 Cite this Article Set citation alerts
    Dou Zhenhai, Wang Yajing, Shen Jin, Liu Wei, Gao Shanshan. A Hybrid Non-Negative Inversion of Dynamic Light Scattering Based on Truncated Singular Value Decomposition[J]. Chinese Journal of Lasers, 2013, 40(6): 608001 Copy Citation Text show less

    Abstract

    In order to improve particle size inversion accuracy of the dynamic light scattering (DLS), considering non-negative characteristic of the particle size distribution (PSD) and strong anti-noise characteristic of truncated singular value decomposition (TSVD) method, TSVD inversion methods of the trust-region (Trust) and interior point Newton (IPN) non-negative constraints are compared in this paper. Combining characteristics of two methods, a particle size inversion method based on Trust-IPN and TSVD (Trust-IPN-TSVD) is proposed. This method inherits the advantages of the Trust-TSVD and IPN-TSVD methods. The inversion of Trust-TSVD, IPN-TSVD and Trust-IPN-TSVD method for 200~500 nm unimodal distribution particles and 100~700 nm bimodal distribution particles is simulated. Results show that compared with the Trust-TSVD, for unimodal and bimodal distribution particles, Trust-IPN-TSVD can improve the peak value error and the relative error of inversion PSD by 1.68%, 0.2461 and 1.41%, 0.0587, respectively, and its PSD is smoother. Compared IPN-TSVD, for unimodal and bimodal distribution particles, Trust-IPN-TSVD can improve the peak value error and the relative error of inversion PSD by 4.52%, 3.710 and 9.47%, 0.4229, respectively, and its PSD is significantly narrower. Therefore, the inversion PSD of Trust-IPN-TSVD method has higher accuracy and better smoothness, and is more consistent with the theoretical distribution. Finally, the inversion of experimental particles confirms this conclusion.
    Dou Zhenhai, Wang Yajing, Shen Jin, Liu Wei, Gao Shanshan. A Hybrid Non-Negative Inversion of Dynamic Light Scattering Based on Truncated Singular Value Decomposition[J]. Chinese Journal of Lasers, 2013, 40(6): 608001
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