Acta Optica Sinica, Volume. 45, Issue 16, 1629001(2025)
Depolarized Dynamic Light Scattering Method for Rod-Shaped Particle Measurement Based on Tikhonov-GRNN Inversion
Figures & Tables(17)
Fig. 2. Flowchart of Tikhonov-GRNN inversion of attenuation linewidth distribution
Fig. 6. Intensity autocorrelation function and truncation point location. (a) DKAU-6.0; (b) DKAU-15
Fig. 7. Truncated electric field autocorrelation function curves. (a) DKAU-6.0; (b) DKAU-15
Fig. 8. Attenuation linewidth distributions of Tikhonov’s inversion. (a) VV; (b) VH
Fig. 9. VV attenuation linewidth distributions for VV-GRNN inversion. (a) DKAU-6.0; (b) DKAU-15
Fig. 10. VH attenuation linewidth distributions of VH-GRNN inversion. (a) DKAU-6.0; (b) DKAU-15
Table 1. TEM measurement results of gold nanorods samples
View tableTable 1. TEM measurement results of gold nanorods samples
Sample model Nominal value TEM L /nm D /nm L /nm D /nm DKAU-6.0 78 13 76.56 14.61 DKAU-15 300 20 299.91 22.02
Table 2. VV inversion evaluation data of samples with different smoothing parameters
View tableTable 2. VV inversion evaluation data of samples with different smoothing parameters
Sample model σVV Γt /kHz EPP /% EPSD DKAU-6.0 0.1 （small） 4.49 1.00 1.03×10-7 0.3 （optimal） 4.90 2.23 1.04×10-7 1.0 （large） 4.67 4.64 1.16×10-7 DKAU-15 0.1 （small） 2.35 1.00 2.63×10-7 0.5 （optimal） 2.40 1.21 2.11×10-7 1.0 （large） 2.31 2.37 2.94×10-7
Table 3. VH inversion evaluation data of samples with different smoothing parameters
View tableTable 3. VH inversion evaluation data of samples with different smoothing parameters
Sample model σVH Γt /kHz EPP /% EPSD DKAU-6.0 0.1 （small） 40.5 1.00 4.88×10-9 0.3 （optimal） 40.8 4.01 1.43×10-7 1.0 （large） 42.1 5.70 3.83×10-7 DKAU-15 0.1 （small） 4.22 3.82 9.51×10-8 0.3 （optimal） 4.30 1.93 1.54×10-7 1.0 （large） 4.39 3.79 2.45×10-7
Table 4. Sample inversion results
View tableTable 4. Sample inversion results
Sample model Γt /kHz Γr /kHz Dt /（10-12 m2/s） Dr /s-1 p L /nm D /nm DKAU-6.0 4.9 35.9 9.3 5986.0 2.6 78.0 29.8 DKAU-15 2.4 1.9 4.8 311.7 13.7 306.0 22.3
Table 5. Inversion results of different methods
View tableTable 5. Inversion results of different methods
Sample model Nominal value Tikhonov Tikhonov-GRNN L /nm D /nm L /nm D /nm L /nm D /nm DKAU-6.0 78 13 94.7 19.2 78.0 29.8 DKAU-15 300 20 271.8 29.7 306.0 22.3
Table 6. Inversion results and repeatability of DKAU-6.0
View tableTable 6. Inversion results and repeatability of DKAU-6.0
Sample model Tikhonov-GRNN Tikhonov Dt /（10-12 m2/s） Dr /s-1 p L /nm D /nm L /nm D /nm DKAU-6.0 9.28 5986 3.13 76.0 24.3 86.8 22.1 9.67 5955 3.22 83.6 26.0 83.6 25.9 9.46 5972 2.89 80.7 27.9 74.5 35.4 9.09 6001 2.37 75.2 31.7 77.7 28.8 9.87 6205 3.33 83.3 25.0 77.2 32.3 9.67 6222 3.00 80.5 26.8 76.8 31.2 Average value — — — 79.9 27.0 79.4 29.3 Repeatability — — — 4.5% 9.8% 5.9% 16.3%
Table 7. Inversion results and repeatability of DKAU-15
View tableTable 7. Inversion results and repeatability of DKAU-15
Sample model Tikhonov-GRNN Tikhonov Dt /（10-12 m2/s） Dr /s-1 p L /nm D /nm L /nm D /nm DKAU-15 4.86 318.33 14.90 307.7 20.7 297.6 23.5 4.76 326.67 12.51 296.9 23.7 295.9 25.3 4.68 318.33 11.90 297.1 25.0 300.9 20.3 4.57 313.33 10.83 294.0 27.1 281.9 19.3 4.76 326.19 12.65 297.6 23.5 297.3 17.1 4.67 319.68 11.70 295.8 25.3 278.9 16.2 Average value — — — 298.2 24.2 292.1 20.3 Repeatability — — — 1.6% 8.9% 3.2% 17.5%
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Liang Wang, Wei Liu, Lei Wang, Fan Yan, Yajing Wang, Fuyuan Qin. Depolarized Dynamic Light Scattering Method for Rod-Shaped Particle Measurement Based on Tikhonov-GRNN Inversion[J]. Acta Optica Sinica, 2025, 45(16): 1629001
Paper Information
Category: Scattering
Received: Mar. 31, 2025
Accepted: May. 19, 2025
Published Online: Aug. 15, 2025
The Author Email: Wei Liu (weikey@sdut.edu.cn)
CSTR:32393.14.AOS250819
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