Journal of Applied Optics, Volume. 45, Issue 6, 1261(2024)
Effect of non-Gaussian term on dynamic light scattering measurement at ultra-low concentrations
Figures & Tables(14)
Fig. 1. Light intensity ACF and ACF attenuation characteristic curves of 600 nm unimodal particles at different concentrations
Fig. 2. Recovered PSD of inverting 564 nm unimodal narrow distribution particles by using NGS and KFR methods at different concentrations
Fig. 3. Recovered PSD of inverting 592 nm unimodal medium distribution particles by using NGS and KFR methods at different concentrations
Fig. 4. Recovered PSD of inverting 517 nm unimodal wide distribution particles by using NGS and KFR methods at different concentrations
Fig. 5. Recovered PSD of inverting 564 nm unimodal narrow distribution particles by using NGS and KFR methods at different noise levels
Fig. 6. Recovered PSD of inverting 517 nm unimodal wide distribution particles by using NGS and KFR methods at different noise levels
Fig. 7. PSI distribution of 564 nm unimodal particle systems in corresponding ACF with different distribution widths
Fig. 8. Recovered PSD of inverting 203 nm particles by using NGS and KFR methods
Fig. 9. Recovered PSD of inverting 693 nm particles by using NGS and KFR methods
Table 1. Parameters and properties of simulated PSDs
View tableView in ArticleTable 1. Parameters and properties of simulated PSDs
Ptrue/nm PSD width type μ σ (dmin, dmax) /nm Coefficient of variation/% 564 Narrow 3.5 9.8 (400, 800) 1.76 592 Medium 0.5 6.2 (400, 800) 2.70 517 Wide 0.5 2.8 (200, 900) 11.62
Table 2. Performance indices for PSD of inverting 564 nm, 592 nm and 517 nm particles by using NGS and KFR methods
View tableView in ArticleTable 2. Performance indices for PSD of inverting 564 nm, 592 nm and 517 nm particles by using NGS and KFR methods
PSD width type Ptrue/nm 〈N〉 NGS KFR Pmeas/nm Ep/% V/% Pmeas/nm Ep/% V/% Narrow 564 12 563 0.18 0.41 563 0.18 0.39 24 559 0.89 0.48 566 0.35 0.36 48 559 0.89 0.45 569 0.87 0.39 Medium 592 12 586 1.01 0.36 594 0.34 0.17 24 585 1.18 0.46 594 0.34 0.14 48 583 1.52 0.46 595 0.51 0.22 Wide 517 12 509 1.55 0.64 516 0.19 0.16 24 509 1.55 0.53 518 0.19 0.18 48 509 1.55 0.50 518 0.19 0.29
Table 3. Performance indices for recovered PSD of inverting 564 nm and 517 nm particles by using NGS and KFR methods at different noise levels
View tableView in ArticleTable 3. Performance indices for recovered PSD of inverting 564 nm and 517 nm particles by using NGS and KFR methods at different noise levels
PSD width type Ptrue/nm δ NGS KFR Pmeas/nm Ep/% V/% Pmeas/nm Ep/% V/% Narrow 564 5×10−4 565 0.18 0.29 565 0.18 0.22 5×10−3 563 0.18 0.41 563 0.18 0.39 1×10−2 559 0.89 0.43 581 3.01 0.83 Wide 517 5×10−4 514 0.58 0.61 518 0.19 0.23 5×10−3 509 1.55 0.64 516 0.19 0.16 1×10−2 509 1.55 0.55 521 0.77 0.33
Table 4. Volume fraction and corresponding particle number of two series samples
View tableView in ArticleTable 4. Volume fraction and corresponding particle number of two series samples
Diameter/nm Coefficient of variation/% Volume fraction 〈N〉 203 2.3 3.2×10−8 9 6.3×10−8 17 1.3×10−7 35 693 2.9 1.7×10−6 12 3.6×10−6 24 7.3×10−6 48
Table 5. Performance indices for recovered PSD of inverting 203 nm and 693 nm particles by using NGS and KFR methods
View tableView in ArticleTable 5. Performance indices for recovered PSD of inverting 203 nm and 693 nm particles by using NGS and KFR methods
Ptrue/nm 〈N〉 NGS KFR Pmeas/nm Ep/% Pmeas/nm Ep/% 203 9 202 0.49 203 0 17 202 0.49 203 0 35 202 0.49 203 0 693 12 672 3.03 696 0.43 24 768 10.82 696 0.43 48 720 3.90 696 0.43
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Xiaojun FU, Yajing WANG, Jin SHEN, Wei LIU, Hu MING. Effect of non-Gaussian term on dynamic light scattering measurement at ultra-low concentrations[J]. Journal of Applied Optics, 2024, 45(6): 1261
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Received: Aug. 28, 2023
Accepted: --
Published Online: Jan. 14, 2025
The Author Email: WANG Yajing (王雅静)
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