Analysis of Influences of Micro-Rough Surface Parameters on Laser Speckle Field

Fig. 17. Influences of non-Gaussian surface parameters on autocorrelation function of speckle. (a) R_ms=0.1 μm, S_k=-0.5; (b) R_ms=0.1 μm, S_k=0; (c) R_ms=0.1 μm, S_k=0.5; (d) R_ms=0.3 μm, S_k=-0.5; (e) R_ms=0.3 μm, S_k=0; (f) R_ms=0.1 μm, S_k=0.5; (g) R_ms=0.5 μm, S_k=-0.5; (h) R_ms=0.5 μm, S_k=0; (i) R_ms=0.5 μm, S_k=0.5

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Fig. 18. Influence of root mean square roughness on probability distribution function of light intensity

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Fig. 19. Influence of correlation length on probability distribution function of light intensity

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Fig. 20. Influences of non-Gaussian surface parameters on probability distribution function of speckle intensity. (a) R_ms=0.1 μm, S_k=-0.5; (b) R_ms=0.1 μm, S_k=0; (c) R_ms=0.1 μm, S_k=0.5; (d) R_ms=0.3 μm, S_k=-0.5; (e) R_ms=0.3 μm, S_k=0; (f) R_ms=0.1 μm, S_k=0.5; (g) R_ms=0.5 μm, S_k=-0.5; (h) R_ms=0.5 μm, S_k=0; (i) R_ms=0.5 μm, S_k=0.5

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Table 1. Characteristic parameters of micro rough surface blocks
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Table 1. Characteristic parameters of micro rough surface blocks
Sample size /μm ${R_{a}}_{}$ /μm ${R_{ms}}_{}$ /μm β /mm
0.2 0.14 0.16 0.02
0.4 0.36 0.46 0.02

Table 2. Laser speckle contrast
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Table 2. Laser speckle contrast
Sample size /μm Simulation result Experimental result Error /%
0.2 0.4492 0.4926 9.66
0.4 0.8657 0.8867 2.10

Table 3. Parameter combinations of Gaussian rough surface
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Table 3. Parameter combinations of Gaussian rough surface
Group 1 2 3 4--9 10
Root mean square roughness ${R_{ms}}_{}$ /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

Table 4. Parameter combinations of non-Gaussian rough surface
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Table 4. Parameter combinations of non-Gaussian rough surface
Group 1 2 3 4 5
Root mean square roughness ${R_{ms}}_{}$ /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

Table 5. Influences of rough surface parameters on statistical characteristics of speckles

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Table 5. Influences of rough surface parameters on statistical characteristics of speckles

Speckle statistics		Contrast	Autocorrelation function	Light intensity probability distribution function
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 R_ms is small	Decrease	Increase	Peak increases
Kurtosis	When R_ms is large	Increase	Decrease	Peak increases
Skewness		Increase first and then decrease	No effect	Decrease first and then increase

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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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