Fig. 1. Schematic diagram of speckle field formation
Fig. 2. Flowchart of rough surface simulation
Fig. 3. Schematic diagram of root mean square roughness
Fig. 4. Schematic diagram of skewness
Fig. 5. Schematic diagram of kurtosis
Fig. 6. Setup of laser speckle experiment
Fig. 7. Laser speckle pattern of 0.2 μm sample
Fig. 8. Speckle autocorrelation function
Fig. 9. Probability density distribution function of speckle light intensity of 0.2 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
Fig. 11. Laser speckle patterns under different root mean square roughness. (a) 0.05 μm; (b) 0.5 μm
Fig. 12. Influences of Gaussian surface parameters on speckle contrast
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
Fig. 14. Influence of root mean square roughness on autocorrelation function of speckle
Fig. 15. Influence of correlation length on speckle autocorrelation function
Fig. 16. Two random rough surfaces with different correlation lengths. (a) 0.3 mm; (b) 3.0 mm
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
Fig. 18. Influence of root mean square roughness on probability distribution function of light intensity
Fig. 19. Influence of correlation length on probability distribution function of light intensity
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 /μm | /μm | /μm | β /mm |
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0.2 | 0.14 | 0.16 | 0.02 | 0.4 | 0.36 | 0.46 | 0.02 |
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Table 1. Characteristic parameters of micro rough surface blocks
Sample size /μm | Simulation result | Experimental result | Error /% |
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0.2 | 0.4492 | 0.4926 | 9.66 | 0.4 | 0.8657 | 0.8867 | 2.10 |
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Table 2. Laser speckle contrast
Group | 1 | 2 | 3 | 4--9 | 10 |
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Root mean square roughness /μm | 0.05 | 0.10 | 0.15 | - | 0.50 | Correlation length β /mm | 0.3 | 1.0 | 3.0 | 0.3 | 1.0 | 3.0 | 0.3 | 1.0 | 3.0 | 0.3 | 1.0 | 3.0 | 0.3 | 1.0 | 3.0 | Skewness | 0 | 0 | 0 | 0 | 0 | Kurtosis | 3 | 3 | 3 | 3 | 3 |
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Table 3. Parameter combinations of Gaussian rough surface
Group | 1 | 2 | 3 | 4 | 5 |
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Root mean square roughness /μm | 0.1 | 0.2 | 0.3 | 0.4 | 0.5 | Correlation length β /mm | 0.3 | 0.3 | 0.3 | 0.3 | 0.3 | Skewness | 0.5 | 0 | 0.5 | 0.5 | 0 | 0.5 | 0.5 | 0 | 0.5 | 0.5 | 0 | 0.5 | 0.5 | 0 | 0.5 | Kurtosis | 2 | 3 | 4 | 2 | 3 | 4 | 2 | 3 | 4 | 2 | 3 | 4 | 2 | 3 | 4 |
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Table 4. Parameter combinations of non-Gaussian rough surface
Speckle statistics | Contrast | Autocorrelation function | Light intensity probability distribution function |
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Root mean square roughness | Increase | Decrease | Approaching negative exponential distribution | Correlation length | Increase | Longer fluctuation period | Central peak is reduced, and changes on both sides are not obvious | Kurtosis | When Rms is small | Decrease | Increase | Peak increases | When Rms is large | Increase | Decrease | Skewness | Increase first and then decrease | No effect | Decrease first and then increase |
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Table 5. Influences of rough surface parameters on statistical characteristics of speckles