• Chinese Journal of Lasers
  • Vol. 45, Issue 10, 1004003 (2018)
Meng Rui1、2, Ge Baozhen1、2, Lü Qieni1、2, and Xu Jie1、2
Author Affiliations
  • 1[in Chinese]
  • 2[in Chinese]
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    DOI: 10.3788/cjl201845.1004003 Cite this Article Set citation alerts
    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 Copy Citation Text show less
    GOA model of particle scattering
    Fig. 1. GOA model of particle scattering
    System diagram of particle scattering spectrum
    Fig. 2. System diagram of particle scattering spectrum
    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
    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
    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
    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
    Diagram of particle refractive index measurement system
    Fig. 7. Diagram of particle refractive index measurement system
    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. 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
    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. 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
    Fitting lines of the spectrum distance D01 and the diameter of PSL and WD particles
    Fig. 10. Fitting lines of the spectrum distance D01 and the diameter of PSL and WD particles
    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
    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
    n=1.195n=1.330n=1.429
    3021.548921.071618.2165
    3516.767719.039617.4580
    4012.499416.754616.2912
    458.608614.280914.7828
    600.56766.27218.7589
    650.00813.80556.5084
    Table 1. Intensity rate of the zero-order to the first-order spectra at different scattering angles
    Scatteringangle /(°)L01
    n=1.195n=1.330n=1.429
    301.86081.73651.6631
    351.88581.78401.7177
    401.89731.81631.7584
    451.89901.83601.7868
    601.86431.84091.8150
    651.84331.82921.8095
    Table 2. Numerical relationship between dimensionless distance L01 and scattering angle for particlewith different refractive indices
    Pulse parameters2a /μmSD /μmRSD /%
    Width /μsAmplitude /V
    3.21017.30.100.58
    9.81019.70.090.46
    16.01222.50.140.62
    23.21527.60.291.05
    Table 3. Droplet diameters at four pulses parameters
    No.Diameter /μmD01 /pixel
    12345Average
    a1520.5120.5919.9220.6919.2320.19
    b21.327.9827.4527.6327.9128.2927.85
    c2533.0333.0432.3332.5932.3632.67
    d3039.9739.4939.8139.1539.1339.51
    Table 4. Experimental D01of standard PSL particle with different diameters
    No.Diameter /μmD01 /pixel
    12345Average
    a17.322.1121.5821.8721.8122.0321.88
    b19.723.7824.3924.4523.9224.3724.18
    c22.527.3727.9427.3227.5727.2027.48
    d27.634.2234.6834.1934.4434.6334.43
    Table 5. Experimental D01 of WD particle with different diameters
    SamplenameNominaldiameter /μmExperimental result
    D01 /pixelnn2Error /%
    PSL4559.231.1931.587-0.19
    Glass19.122.581.4501.9291.53
    Table 6. Refractive index experimental result of different standard particles
    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
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