Fig. 1. GOA model of particle scattering
Fig. 2. System diagram of particle scattering spectrum
Fig. 3. The zero-order and the first-order spectral intensities vs scattering angle for particles with different refractive indices and diameters. (a) 2a=20 μm; (b) 2a=45 μm
Fig. 4. Dimensionless distance of the zero-order and the first-order spectra vs scattering angle for particlewith different refractive indices
Fig. 5. Refractive index error caused by scattering angle deviation of particles with different refractive indices. (a) n=1.195; (b) n=1.330; (c) n=1.429
Fig. 6. Refractive index error caused by magnification deviation of particle with different refractive indices. (a) n=1.195; (b) n=1.330; (c) n=1.429
Fig. 7. Diagram of particle refractive index measurement system
Fig. 8. Experimental results of the zero-order and the first-order spectra of standard PSL particle. (a) 2a=15 μm; (b) 2a=21.3 μm; (c) 2a=25 μm; (d) 2a=30 μm
Fig. 9. Experimental results of the zero-order and the first-order spectra of WD particle. (a) 2a=17.3 μm; (b) 2a=19.7 μm; (c) 2a=22.5 μm; (d) 2a=27.6 μm
Fig. 10. Fitting lines of the spectrum distance D01 and the diameter of PSL and WD particles
Fig. 11. Experimental results of the zero-order and the first-order spectra of two samples. (a) PSL particle with diameter of 45 μm; (b) glass particle with diameter of 19.1 μm
Scatteringangle /(°) | I1/I0 |
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n=1.195 | n=1.330 | n=1.429 |
---|
30 | 21.5489 | 21.0716 | 18.2165 | 35 | 16.7677 | 19.0396 | 17.4580 | 40 | 12.4994 | 16.7546 | 16.2912 | 45 | 8.6086 | 14.2809 | 14.7828 | 60 | 0.5676 | 6.2721 | 8.7589 | 65 | 0.0081 | 3.8055 | 6.5084 |
|
Table 1. Intensity rate of the zero-order to the first-order spectra at different scattering angles
Scatteringangle /(°) | L01 |
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n=1.195 | n=1.330 | n=1.429 |
---|
30 | 1.8608 | 1.7365 | 1.6631 | 35 | 1.8858 | 1.7840 | 1.7177 | 40 | 1.8973 | 1.8163 | 1.7584 | 45 | 1.8990 | 1.8360 | 1.7868 | 60 | 1.8643 | 1.8409 | 1.8150 | 65 | 1.8433 | 1.8292 | 1.8095 |
|
Table 2. Numerical relationship between dimensionless distance L01 and scattering angle for particlewith different refractive indices
Pulse parameters | 2a /μm | SD /μm | RSD /% |
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| | Width /μs | Amplitude /V |
---|
3.2 | 10 | 17.3 | 0.10 | 0.58 | 9.8 | 10 | 19.7 | 0.09 | 0.46 | 16.0 | 12 | 22.5 | 0.14 | 0.62 | 23.2 | 15 | 27.6 | 0.29 | 1.05 |
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Table 3. Droplet diameters at four pulses parameters
No. | Diameter /μm | D01 /pixel |
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1 | 2 | 3 | 4 | 5 | Average |
---|
a | 15 | 20.51 | 20.59 | 19.92 | 20.69 | 19.23 | 20.19 | b | 21.3 | 27.98 | 27.45 | 27.63 | 27.91 | 28.29 | 27.85 | c | 25 | 33.03 | 33.04 | 32.33 | 32.59 | 32.36 | 32.67 | d | 30 | 39.97 | 39.49 | 39.81 | 39.15 | 39.13 | 39.51 |
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Table 4. Experimental D01of standard PSL particle with different diameters
No. | Diameter /μm | D01 /pixel |
---|
1 | 2 | 3 | 4 | 5 | Average |
---|
a | 17.3 | 22.11 | 21.58 | 21.87 | 21.81 | 22.03 | 21.88 | b | 19.7 | 23.78 | 24.39 | 24.45 | 23.92 | 24.37 | 24.18 | c | 22.5 | 27.37 | 27.94 | 27.32 | 27.57 | 27.20 | 27.48 | d | 27.6 | 34.22 | 34.68 | 34.19 | 34.44 | 34.63 | 34.43 |
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Table 5. Experimental D01 of WD particle with different diameters
Samplename | Nominaldiameter /μm | Experimental result |
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D01 /pixel | n | n2 | Error /% |
---|
PSL | 45 | 59.23 | 1.193 | 1.587 | -0.19 | Glass | 19.1 | 22.58 | 1.450 | 1.929 | 1.53 |
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Table 6. Refractive index experimental result of different standard particles