• Acta Optica Sinica
  • Vol. 41, Issue 11, 1103001 (2021)
Weike Gao, Xiaoping Du, Yang Wang*, and Buyi Yang
Author Affiliations
  • Space Engineering University, Beijing 101416, China
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    DOI: 10.3788/AOS202141.1103001 Cite this Article Set citation alerts
    Weike Gao, Xiaoping Du, Yang Wang, Buyi Yang. Analysis of Influences of Micro-Rough Surface Parameters on Laser Speckle Field[J]. Acta Optica Sinica, 2021, 41(11): 1103001 Copy Citation Text show less
    Schematic diagram of speckle field formation
    Fig. 1. Schematic diagram of speckle field formation
    Flowchart of rough surface simulation
    Fig. 2. Flowchart of rough surface simulation
    Schematic diagram of root mean square roughness
    Fig. 3. Schematic diagram of root mean square roughness
    Schematic diagram of skewness
    Fig. 4. Schematic diagram of skewness
    Schematic diagram of kurtosis
    Fig. 5. Schematic diagram of kurtosis
    Setup of laser speckle experiment
    Fig. 6. Setup of laser speckle experiment
    Laser speckle pattern of 0.2 μm sample
    Fig. 7. Laser speckle pattern of 0.2 μm sample
    Speckle autocorrelation function
    Fig. 8. Speckle autocorrelation function
    Probability density distribution function of speckle light intensity of 0.2 μm sample. (a) Experiment; (b) simulation
    Fig. 9. Probability density distribution function of speckle light intensity of 0.2 μm sample. (a) Experiment; (b) simulation
    Probability density distribution function of speckle light intensity of 0.4 μm sample. (a) Experiment; (b) simulation
    Fig. 10. Probability density distribution function of speckle light intensity of 0.4 μm sample. (a) Experiment; (b) simulation
    Laser speckle patterns under different root mean square roughness. (a) 0.05 μm; (b) 0.5 μm
    Fig. 11. Laser speckle patterns under different root mean square roughness. (a) 0.05 μm; (b) 0.5 μm
    Influences of Gaussian surface parameters on speckle contrast
    Fig. 12. Influences of Gaussian surface parameters on speckle contrast
    Influences of Non-Gaussian surface parameters on speckle contrast. (a) Rms=0.1 μm; (b) Rms=0.2 μm; (c) Rms=0.3 μm; (d) Rms=0.4 μm
    Fig. 13. Influences of Non-Gaussian surface parameters on speckle contrast. (a) Rms=0.1 μm; (b) Rms=0.2 μm; (c) Rms=0.3 μm; (d) Rms=0.4 μm
    Influence of root mean square roughness on autocorrelation function of speckle
    Fig. 14. Influence of root mean square roughness on autocorrelation function of speckle
    Influence of correlation length on speckle autocorrelation function
    Fig. 15. Influence of correlation length on speckle autocorrelation function
    Two random rough surfaces with different correlation lengths. (a) 0.3 mm; (b) 3.0 mm
    Fig. 16. Two random rough surfaces with different correlation lengths. (a) 0.3 mm; (b) 3.0 mm
    Influences of non-Gaussian surface parameters on autocorrelation function of speckle. (a) Rms=0.1 μm, Sk=-0.5; (b) Rms=0.1 μm, Sk=0; (c) Rms=0.1 μm, Sk=0.5; (d) Rms=0.3 μm, Sk=-0.5; (e) Rms=0.3 μm, Sk=0; (f) Rms=0.1 μm, Sk=0.5; (g) Rms=0.5 μm, Sk=-0.5; (h) Rms=0.5 μm, Sk=0; (i) Rms=0.5 μm, Sk=0.5
    Fig. 17. Influences of non-Gaussian surface parameters on autocorrelation function of speckle. (a) Rms=0.1 μm, Sk=-0.5; (b) Rms=0.1 μm, Sk=0; (c) Rms=0.1 μm, Sk=0.5; (d) Rms=0.3 μm, Sk=-0.5; (e) Rms=0.3 μm, Sk=0; (f) Rms=0.1 μm, Sk=0.5; (g) Rms=0.5 μm, Sk=-0.5; (h) Rms=0.5 μm, Sk=0; (i) Rms=0.5 μm, Sk=0.5
    Influence of root mean square roughness on probability distribution function of light intensity
    Fig. 18. Influence of root mean square roughness on probability distribution function of light intensity
    Influence of correlation length on probability distribution function of light intensity
    Fig. 19. Influence of correlation length on probability distribution function of light intensity
    Influences of non-Gaussian surface parameters on probability distribution function of speckle intensity. (a) Rms=0.1 μm, Sk=-0.5; (b) Rms=0.1 μm, Sk=0; (c) Rms=0.1 μm, Sk=0.5; (d) Rms=0.3 μm, Sk=-0.5; (e) Rms=0.3 μm, Sk=0; (f) Rms=0.1 μm, Sk=0.5; (g) Rms=0.5 μm, Sk=-0.5; (h) Rms=0.5 μm, Sk=0; (i) Rms=0.5 μm, Sk=0.5
    Fig. 20. Influences of non-Gaussian surface parameters on probability distribution function of speckle intensity. (a) Rms=0.1 μm, Sk=-0.5; (b) Rms=0.1 μm, Sk=0; (c) Rms=0.1 μm, Sk=0.5; (d) Rms=0.3 μm, Sk=-0.5; (e) Rms=0.3 μm, Sk=0; (f) Rms=0.1 μm, Sk=0.5; (g) Rms=0.5 μm, Sk=-0.5; (h) Rms=0.5 μm, Sk=0; (i) Rms=0.5 μm, Sk=0.5
    Sample size /μmRa /μmRms /μmβ /mm
    0.20.140.160.02
    0.40.360.460.02
    Table 1. Characteristic parameters of micro rough surface blocks
    Sample size /μmSimulation resultExperimental resultError /%
    0.20.44920.49269.66
    0.40.86570.88672.10
    Table 2. Laser speckle contrast
    Group1234--910
    Root mean square roughness Rms /μm0.050.100.15-0.50
    Correlation length β /mm0.31.03.00.31.03.00.31.03.00.31.03.00.31.03.0
    Skewness00000
    Kurtosis33333
    Table 3. Parameter combinations of Gaussian rough surface
    Group12345
    Root mean square roughness Rms /μm0.10.20.30.40.5
    Correlation length β /mm0.30.30.30.30.3
    Skewness0.500.50.500.50.500.50.500.50.500.5
    Kurtosis234234234234234
    Table 4. Parameter combinations of non-Gaussian rough surface
    Speckle statisticsContrastAutocorrelation functionLight intensity probability distribution function
    Root mean square roughnessIncreaseDecreaseApproaching negative exponential distribution
    Correlation lengthIncreaseLonger fluctuation periodCentral peak is reduced, and changes on both sides are not obvious
    KurtosisWhen Rms is smallDecreaseIncreasePeak increases
    When Rms is largeIncreaseDecrease
    SkewnessIncrease first and then decreaseNo effectDecrease first and then increase
    Table 5. Influences of rough surface parameters on statistical characteristics of speckles
    Weike Gao, Xiaoping Du, Yang Wang, Buyi Yang. Analysis of Influences of Micro-Rough Surface Parameters on Laser Speckle Field[J]. Acta Optica Sinica, 2021, 41(11): 1103001
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