Accurate Determination of Scattering Angle and Magnification Based on Scattering Spectral Particle Refractive Index Measurement System

$The zero-order and the first-order spectral intensities vs scattering angle for particles with different refractive indices and diameters. (a) 2a=20 μm; (b) 2a=45 μm$

Fig. 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

Download full size

$Dimensionless distance of the zero-order and the first-order spectra vs scattering angle for particlewith different refractive indices$

Fig. 4. Dimensionless distance of the zero-order and the first-order spectra vs scattering angle for particlewith different refractive indices

Download full size

$Refractive index error caused by scattering angle deviation of particles with different refractive indices. (a) n=1.195; (b) n=1.330; (c) n=1.429$

Fig. 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

Download full size

$Refractive index error caused by magnification deviation of particle with different refractive indices. (a) n=1.195; (b) n=1.330; (c) n=1.429$

Fig. 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

Download full size

$Diagram of particle refractive index measurement system$

Fig. 7. Diagram of particle refractive index measurement system

Download full size

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

Download full size

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

Download full size

Fig. 10. Fitting lines of the spectrum distance D₀₁ and the diameter of PSL and WD particles

Download full size

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

Download full size

Table 1. Intensity rate of the zero-order to the first-order spectra at different scattering angles
View table
Table 1. Intensity rate of the zero-order to the first-order spectra at different scattering angles
Scatteringangle /(°) I₁/I₀
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 2. Numerical relationship between dimensionless distance L₀₁ and scattering angle for particlewith different refractive indices
View table
Table 2. Numerical relationship between dimensionless distance L₀₁ and scattering angle for particlewith different refractive indices
Scatteringangle /(°) L₀₁
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 3. Droplet diameters at four pulses parameters
View table
Table 3. Droplet diameters at four pulses parameters
Pulse parameters 2a /μm SD /μm RSD /%
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

Table 4. Experimental D₀₁of standard PSL particle with different diameters
View table
Table 4. Experimental D₀₁of standard PSL particle with different diameters
No. Diameter /μm D₀₁ /pixel
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

Table 5. Experimental D₀₁ of WD particle with different diameters
View table
Table 5. Experimental D₀₁ of WD 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

Table 6. Refractive index experimental result of different standard particles
View table
Table 6. Refractive index experimental result of different standard particles
Samplename Nominaldiameter /μm Experimental result
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

Tools

Get Citation

Copy Citation Text

Meng Rui, Ge Baozhen, Lü Qieni, Xu Jie. Accurate Determination of Scattering Angle and Magnification Based on Scattering Spectral Particle Refractive Index Measurement System[J]. Chinese Journal of Lasers, 2018, 45(10): 1004003

Download Citation

EndNote(RIS)BibTex Plain Text

Set citation alerts for article

Save article for my favorites

Paper Information

Category: Measurement and metrology

Received: Apr. 15, 2018

Accepted: --

Published Online: Oct. 12, 2018

The Author Email:

DOI:10.3788/cjl201845.1004003

Topics

laser devices and laser physics

Lasers and Laser Optics

Laser physics

laser manufacturing

Instrumentation, Measurement and Metrology

Table 1. Intensity rate of the zero-order to the first-order spectra at different scattering angles

Table 1. Intensity rate of the zero-order to the first-order spectra at different scattering angles

Table 2. Numerical relationship between dimensionless distance L01 and scattering angle for particlewith different refractive indices

Table 2. Numerical relationship between dimensionless distance L01 and scattering angle for particlewith different refractive indices

Table 3. Droplet diameters at four pulses parameters

Table 3. Droplet diameters at four pulses parameters

Table 4. Experimental D01of standard PSL particle with different diameters

Table 4. Experimental D01of standard PSL particle with different diameters

Table 5. Experimental D01 of WD particle with different diameters

Table 5. Experimental D01 of WD particle with different diameters

Table 6. Refractive index experimental result of different standard particles

Table 6. Refractive index experimental result of different standard particles

Table 2. Numerical relationship between dimensionless distance L₀₁ and scattering angle for particlewith different refractive indices

Table 2. Numerical relationship between dimensionless distance L₀₁ and scattering angle for particlewith different refractive indices

Table 4. Experimental D₀₁of standard PSL particle with different diameters

Table 4. Experimental D₀₁of standard PSL particle with different diameters

Table 5. Experimental D₀₁ of WD particle with different diameters

Table 5. Experimental D₀₁ of WD particle with different diameters