• Acta Photonica Sinica
  • Vol. 51, Issue 3, 0329001 (2022)
Tiantian QI1, Wei LIU1、*, J C THOMAS1、2, Hongyan JIA1, Qinqin WEI1, Yajing WANG1, and Jin SHEN1
Author Affiliations
  • 1School of Electrical and Electronic Engineering,Shandong University of Technology,Zibo ,Shandong 255049,China
  • 2Group Scientific Pty Ltd.,Grange,South Australia5022,Australia
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    DOI: 10.3788/gzxb20225103.0329001 Cite this Article
    Tiantian QI, Wei LIU, J C THOMAS, Hongyan JIA, Qinqin WEI, Yajing WANG, Jin SHEN. Determination of Optimal Autocorrelation Function Truncation Point for Particle Size Measurement with Dynamic Light Scattering[J]. Acta Photonica Sinica, 2022, 51(3): 0329001 Copy Citation Text show less
    Normalized intensity and electric field ACF for sample 3
    Fig. 1. Normalized intensity and electric field ACF for sample 3
    ERMS as a function of the number of ACF data points fitted for sample 3
    Fig. 2. ERMS as a function of the number of ACF data points fitted for sample 3
    Fitting residuals of the ACF using 105 and 73 data points
    Fig. 3. Fitting residuals of the ACF using 105 and 73 data points
    ERMS as a function of the number of ACF data points fitted for Sample 1,Sample 3 and Sample 4
    Fig. 4. ERMS as a function of the number of ACF data points fitted for Sample 1,Sample 3 and Sample 4
    Fitted ACFs for sample 3 with different numbers of ACF data points being fitted
    Fig. 5. Fitted ACFs for sample 3 with different numbers of ACF data points being fitted
    The PSDs of sample 3 recovered with different numbers of ACF data points being fitted
    Fig. 6. The PSDs of sample 3 recovered with different numbers of ACF data points being fitted
    The RN of sample 3 as a function of the number of ACF data points being fitted
    Fig. 7. The RN of sample 3 as a function of the number of ACF data points being fitted
    The VRSD of sample 3 as a function of the number of ACF data points being fitted
    Fig. 8. The VRSD of sample 3 as a function of the number of ACF data points being fitted
    The truncation position of the ACF for the two truncation methods at 0.01 level noise,0.04 level noise and 0.08 level noise
    Fig. 9. The truncation position of the ACF for the two truncation methods at 0.01 level noise,0.04 level noise and 0.08 level noise
    The truncated positions of the electric field ACFs for sample 3 by the two truncation methods
    Fig. 10. The truncated positions of the electric field ACFs for sample 3 by the two truncation methods
    The recovered PSDs of sample 3 by the two truncation methods
    Fig. 11. The recovered PSDs of sample 3 by the two truncation methods
    The norms of PSDs of sample 3 from 60 data sets obtained by the two truncation methods
    Fig. 12. The norms of PSDs of sample 3 from 60 data sets obtained by the two truncation methods
    The peak sizes of sample 3 from 60 data sets obtained by the two truncation methods
    Fig. 13. The peak sizes of sample 3 from 60 data sets obtained by the two truncation methods
    The ERMS of the ACFs at different data points for sample 6
    Fig. 14. The ERMS of the ACFs at different data points for sample 6
    The recovered PSDs of sample 6 by the two truncation methods
    Fig. 15. The recovered PSDs of sample 6 by the two truncation methods
    ACF points fittedERMSDpeak/nmEPK/%PSD width/nmVRSD/%RN/%
    590.001 8202.92.56197.83.37.1
    730.006 8201.92.39120.93.110.8
    1050.024 6189.87.1491.05.38.7
    Table 0. Inversion results of 60 data sets of Sample 3 at different numbers of ACF data points
    MethodERMSDpeak1/nmDpeak2/nmEPK1/%EPK2/%VRSD1/%VRSD2/%RN/%
    RMSET0.002 831.0202.26.53.04.23.96.2
    FACFT0.003 929.7197.810.44.48.95.89.8
    Table 0. Inversion results for sample 6 obtained by the two truncation methods
    No.ERMSDpeak/nmEPK/%PSD width/nmVRSD/%RN/%
    RMSETFACFTRMSETFACFTRMSETFACFTRMSETFACFTRMSETFACFTRMSETFACFT
    Sample 10.002 60.002 533.833.62.82.625.424.82.42.55.65.6
    Sample 20.003 00.003 763.462.93.83.642.739.61.82.54.15.7
    Sample 30.003 00.005 9204.5200.62.13.4149.3125.82.44.67.29.2
    Sample 40.003 10.008 9576.9526.37.111.0514.2339.77.113.213.815.5
    Sample 50.003 30.008 71 289.61214.99.413.91 376.3898.811.217.214.416.4
    Table 0. Inversion results for different samples under two truncation methods
    Tiantian QI, Wei LIU, J C THOMAS, Hongyan JIA, Qinqin WEI, Yajing WANG, Jin SHEN. Determination of Optimal Autocorrelation Function Truncation Point for Particle Size Measurement with Dynamic Light Scattering[J]. Acta Photonica Sinica, 2022, 51(3): 0329001
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