Study on the filtering algorithm of photon correlation spectroscopy based on singular value decomposition

Q4 Physics and Astronomy 光学技术 Pub Date : 2014-01-01 DOI:10.3788/GXJS20144001.0016

于向飞 Yu Xiangfei, 杨. Y. Hui, 杨海马 Yang Haima, 郑. Z. Gang, 胡恒庆 Hu Hengqing, 李. L. Jun, M. Biggs, 宋磊磊 Song Leilei

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Abstract

During the measurement of the ultrafine nanoparticles' s size with the method of PCS(Photon Correlation Spectroscopy),the fitting results are always susceptible to the noise and have quite large errors.To solve the problem, the filtering algorithm of photon correlation spectroscopy based on singular value decomposition is proposed.Its procedure is:the Hankel matrix H with the intensity autocorrelation data is constructed;the singular value decomposition of His calculated;the reconstruction parameters r with the singular value of H are determined;the filtered light intensity autocorrelation data from the reconstruction matrix H1 are extrac-ted,and fitting with the traditional method,and then the particle size distribution is obtained.The experiment is carried out in two different particle dispersions,one is 30nm standard monodisperse latex particle dispersion,and another is 30nm and 100nm standard double dispersion latex particle dispersion.The results show that,the filtering algorithm of photon correlation spectroscopy based on singular value decomposition can improve the measurement accuracy effectively.

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基于奇异值分解的光子相关光谱滤波算法研究

在用光子相关光谱法测量超细纳米颗粒的尺寸时，拟合结果容易受到噪声的影响，误差较大。为了解决这一问题，提出了基于奇异值分解的光子相关光谱滤波算法。其过程为:构造强度自相关数据的Hankel矩阵H，计算His的奇异值分解，确定H为奇异值的重构参数r，提取重构矩阵H1中过滤后的光强度自相关数据，用传统方法拟合，得到粒径分布。实验采用两种不同的颗粒分散体进行，一种是30nm标准单分散乳胶颗粒分散体，另一种是30nm和100nm标准双分散乳胶颗粒分散体。结果表明，基于奇异值分解的光子相关光谱滤波算法能有效提高测量精度。

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来源期刊

光学技术 Physics and Astronomy-Atomic and Molecular Physics, and Optics

CiteScore

0.60

自引率

0.00%

发文量

6699

期刊介绍： The predecessor of Optical Technology was Optical Technology, which was founded in 1975. At that time, the Fifth Ministry of Machine Building entrusted the School of Optoelectronics of Beijing Institute of Technology to publish the journal, and it was officially approved by the State Administration of Press, Publication, Radio, Film and Television for external distribution. From 1975 to 1979, the magazine was named Optical Technology, a quarterly with 4 issues per year; from 1980 to the present, the magazine is named Optical Technology, a bimonthly with 6 issues per year, published on the 20th of odd months. The publication policy is: to serve the national economic construction, implement the development of the national economy, serve production and scientific research, and implement the publication policy of "letting a hundred flowers bloom and a hundred schools of thought contend".