Scale Model of Focused Gaussian Beam Propagating in Turbulent Atmosphere

Xiaowei Chen; Wenyue Zhu; Xianmei Qian; Pengfei Wu; Chun Qing; Gang Sun; Heli Wei; Ningquan Weng; Xun Cui

doi:10.3788/CJL230468

Chinese Journal of Lasers, Volume. 50, Issue 22, 2205001(2023)

Scale Model of Focused Gaussian Beam Propagating in Turbulent Atmosphere

Xiaowei Chen^1,2, Wenyue Zhu^1,2、*, Xianmei Qian^1,2, Pengfei Wu^1,2, Chun Qing^1,2, Gang Sun^1,2, Heli Wei^1,2, Ningquan Weng^1,2,3, and Xun Cui^1,2,3

Author Affiliations

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

²Advanced Laser Technology Laboratory of Anhui Province, Hefei 230037, Anhui, China

³School of Environmental Science and Optoelectronic Technology, University of Science and Technology of China, Hefei 230026, Anhui, China

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Figures & Tables(11)

$Scaling for diffractive radius of Gaussian beam in vacuum. (a) Variation of scale exponent ca with truncating factor; (b) comparison between simulated and scaled diffractive radius$

Fig. 1. Scaling for diffractive radius of Gaussian beam in vacuum. (a) Variation of scale exponent $c_{a}$ with truncating factor; (b) comparison between simulated and scaled diffractive radius

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Fig. 2. Optical turbulence profile and scaling of turbulence spread radius. (a) Optical turbulence profile; (b) scaling of turbulence spread radius for Gaussian beam

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Fig. 3. Mean relative errors of scale models for propagation in vacuum varying with genetic generation

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Fig. 4. Comparison between scaling results and simulations for propagation in vacuum with interactions of multiple effects. (a) Far-field beam quality; (b) far-field effective radius; (c) relative error of far-field effective radius. β_VR and a_VR are from RSS assumption, and β_V and a_V are from MRSS method

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Fig. 5. Mean relative errors of scale models for propagation in turbulent atmosphere varying with genetic generation

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Fig. 6. Scaling for propagation in turbulent atmosphere with RSS assumption. (a) Far-field beam quality; (b) far-field effective radius; (c) relative error of far-field effective radius; (d) relative error of 63.2% encircled mean intensity

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Fig. 7. Scaling for propagation in turbulent atmosphere with MRSS method. (a) Far-field beam quality; (b) far-field effective radius; (c) relative error of far-field effective radius; (d) relative error of 63.2% encircled mean intensity

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Fig. 8. Comparison between $β_{Y}$ and $β_{L_T}$ when only turbulent spread is considered

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Table 1. Parameter space of diffraction in vacuum
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Table 1. Parameter space of diffraction in vacuum
Parameter Value
Wavelength $λ$ /μm 1, 2, …, 9, 10
Truncating factor $F_{a}$ 1.2, 1.3, …, 9.9, 10.0
Aperture $D$ /m 0.2, 0.4, …, 1.6, 1.8
Distance $L$ /km 0.4, 1.0, 2.0, 4.0, …, 28.0, 30.0

Table 2. Parameter space of propagation in vacuum

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Table 2. Parameter space of propagation in vacuum

Parameter	Value
Wavelength $λ$ /μm	1.06
Truncating factor $F_{a}$	$2 \sqrt[]{2}$
Aperture $D$ /m	0.2, 0.6, 1.0, 1.4, 1.8
Beam quality $β_{0}$	1, 2, 4, 6, 8, 10
Jitter deviation $σ_{J}$ /μrad	0, 1, 2, 4, 6, 8, 10
Distance $L$ /km	0.4, 0.6, 0.8, 1.0, 1.2, 2, 4, 6, 8, 10, 20, 30
Fresnel number $N_{F}$	1.0‒6003.4

Table 3. Parameter space of propagation in turbulent atmosphere

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Table 3. Parameter space of propagation in turbulent atmosphere

Parameter		Value
Wavelength $λ$ /μm		1.06
Truncating factor $F_{a}$		$2 \sqrt[]{2}$
Aperture $D$ /m		0.2, 0.6, 1.2, 1.4, 1.8
Beam quality $β_{0}$		1, 2, 4, 6, 8, 10
Jitter deviation $σ_{J}$ /μrad		0, 1, 2, 4, 6, 8, 10
Distance $L$ /km		0.4, 0.6, 0.8, 1.0, 1.2, 2, 4, 6, 8, 10, 15, 20
Elevation $θ$ /(°)		0, 15, 30, 45, 60, 90
Fresnel number $N_{F}$		1.5‒6003.4
Coherence length of 550 nm $r_{550}$ /cm		1.5‒22.8

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Xiaowei Chen, Wenyue Zhu, Xianmei Qian, Pengfei Wu, Chun Qing, Gang Sun, Heli Wei, Ningquan Weng, Xun Cui. Scale Model of Focused Gaussian Beam Propagating in Turbulent Atmosphere[J]. Chinese Journal of Lasers, 2023, 50(22): 2205001

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