Measurement, Control and Turbulence Characteristic Modeling of Atmospheric Turbulence Simulation Device

Rongchang Wang; Haiping Mei; Shuran Ye; Xifu Yue; Sen Jiang; Xiaoxuan Ma

doi:10.3788/AOS250632

Acta Optica Sinica, Volume. 45, Issue 12, 1201010(2025)

Measurement, Control and Turbulence Characteristic Modeling of Atmospheric Turbulence Simulation Device

Rongchang Wang^1,2, Haiping Mei^1,3、*, Shuran Ye^1,3, Xifu Yue^1,2, Sen Jiang^1,2, and Xiaoxuan Ma^1,4

¹Key Laboratory of Atmospheric Optics, Anhui Institute of Optics and Fine Mechanics, Hefei Institutes of Physical Science, Chinese Academy of Sciences, Hefei 230031, Anhui , China

²Science Island Branch, Graduate School of University of Science and Technology of China, Hefei 230026, Anhui , China

³Advanced Laser Technology Laboratory of Anhui Province, Hefei 230037, Anhui , China

⁴College of Environmental Science and Optoelectronic Technology, University of Science and Technology of China, Hefei 230026, Anhui , China

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Figures & Tables(14)

Fig. 1. Schematic diagram of internal structure of turbulence simulation chamber

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Fig. 2. Hot plate structure and sensor distribution

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Fig. 3. Composition of measurement and control system

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Fig. 4. Schematic diagram of temperature control

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Fig. 5. Temperature difference changing with time

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Fig. 6. Air pressure in chamber changing with time

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Fig. 7. r₀ changing with time

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Fig. 8. Logarithmic curve of $C_{n}^{2}$ - $Δ T$

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Fig. 9. Logarithmic curves of $C_{n}^{2}$ -P

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Table 1. Relative errors and uncertainties of temperature difference control
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Table 1. Relative errors and uncertainties of temperature difference control
Temperature difference /℃ Actual value /℃ Relative error /% Uncertainty /℃
5 4.93 -1.40 0.00265
10 9.86 -1.40 0.00216
20 20.09 0.45 0.00400
40 40.02 0.05 0.09400
80 80.31 0.39 0.02033

Table 2. Relative errors and uncertainties of chamber air pressure control
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Table 2. Relative errors and uncertainties of chamber air pressure control
Air pressure /atm Actualvalue /atm Relativeerror /% Uncertainty /atm
0.2 0.1995 -0.250 4.98 $\times$ 10^-6
0.4 0.3983 -0.425 3.71 $\times$ 10^-6
0.6 0.5981 -0.317 3.16 $\times$ 10^-6
0.8 0.7979 -0.263 3.31 $\times$ 10^-6

Table 3. Control uncertainties of r₀
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Table 3. Control uncertainties of r₀
Temperaturedifference /℃ Average valueof r₀ /cm Uncertainty /cm
10 2.72 0.0490
20 1.61 0.0188
40 0.88 0.0116
80 0.51 0.0050

Table 4. Correspondence of refractive index structure constant and temperature difference

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Table 4. Correspondence of refractive index structure constant and temperature difference

Temperature difference /℃	r₀ /cm	$C_{n}^{2}$ / $m^{- \frac{2}{3}}$
1	45.478631	9.00 $\times$ 10^-15
2	22.964251	2.81 $\times$ 10^-14
3	15.249422	5.56 $\times$ 10^-14
4	11.171988	9.34 $\times$ 10^-14
5	8.281784	1.54 $\times$ 10^-13
10	4.184920	4.80 $\times$ 10^-13
15	2.633408	1.04 $\times$ 10^-12
20	1.919122	1.76 $\times 10$ ^-12
40	0.996266	5.25 $\times$ 10^-12
60	0.706533	9.31 $\times$ 10^-12
80	0.492178	1.70 $\times$ 10^-11
100	0.435323	2.09 $\times$ 10^-11
120	0.330130	3.31 $\times$ 10^-11
140	0.267622	4.69 $\times$ 10^-11
160	0.258530	4.97 $\times$ 10^-11
180	0.223437	6.34 $\times$ 10^-11
200	0.219517	6.53 $\times$ 10^-11
250	0.169843	1.00 $\times$ 10^-10

Table 5. Correlation coefficients and root-mean-square errors between measured and fitted values of $l o g_{10} (C_{n}^{2})$
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Table 5. Correlation coefficients and root-mean-square errors between measured and fitted values of $l o g_{10} (C_{n}^{2})$
Temperature difference /℃ Correlationcoefficient Root-mean-square error
5 0.99719 0.09741
10 0.99365 0.04276
15 0.99775 0.10854
20 0.99871 0.04310
40 0.99720 0.04730
80 0.99925 0.04382
120 0.99824 0.04042
180 0.99908 0.01892

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Rongchang Wang, Haiping Mei, Shuran Ye, Xifu Yue, Sen Jiang, Xiaoxuan Ma. Measurement, Control and Turbulence Characteristic Modeling of Atmospheric Turbulence Simulation Device[J]. Acta Optica Sinica, 2025, 45(12): 1201010

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Paper Information

Category: Atmospheric Optics and Oceanic Optics

Received: Feb. 24, 2025

Accepted: Apr. 9, 2025

Published Online: Jun. 23, 2025

The Author Email: Haiping Mei (hpmei@aiofm.ac.cn)

DOI:10.3788/AOS250632

CSTR:32393.14.AOS250632

Topics

laser devices and laser physics

Lasers and Laser Optics

Laser physics

laser manufacturing

Instrumentation, Measurement and Metrology

Table 1. Relative errors and uncertainties of temperature difference control

Table 1. Relative errors and uncertainties of temperature difference control

Table 2. Relative errors and uncertainties of chamber air pressure control

Table 2. Relative errors and uncertainties of chamber air pressure control

Table 3. Control uncertainties of r0

Table 3. Control uncertainties of r0

Table 4. Correspondence of refractive index structure constant and temperature difference

Table 4. Correspondence of refractive index structure constant and temperature difference

Table 5. Correlation coefficients and root-mean-square errors between measured and fitted values of log10(Cn2)

Table 5. Correlation coefficients and root-mean-square errors between measured and fitted values of log10(Cn2)

Table 3. Control uncertainties of r₀

Table 3. Control uncertainties of r₀

Table 5. Correlation coefficients and root-mean-square errors between measured and fitted values of $l o g_{10} (C_{n}^{2})$

Table 5. Correlation coefficients and root-mean-square errors between measured and fitted values of $l o g_{10} (C_{n}^{2})$