Study on Atmospheric Turbulent Transmission Characteristics of Nonuniformly Correlated Inverted Pin Beams

Jin Xu; Peng Zhang; Hang Chen; Yuanxin Wang; Liang Wu; Sheng Luan; Heshu Wang; Shoufeng Tong

doi:10.3788/AOS241491

Acta Optica Sinica, Volume. 45, Issue 12, 1201003(2025)

Study on Atmospheric Turbulent Transmission Characteristics of Nonuniformly Correlated Inverted Pin Beams

Jin Xu¹, Peng Zhang^1、*, Hang Chen¹, Yuanxin Wang², Liang Wu¹, Sheng Luan¹, Heshu Wang¹, and Shoufeng Tong¹

¹Institute of Space Ophotoelectronics Technology, School of Optoelectronic Engineering, Changchun University of Science and Technology, Changchun 130022, Jilin , China

²College of Communication Engineering, Jilin University, Changchun 130012, Jilin , China

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Figures & Tables(15)

Fig. 1. Schematic description of NUCIPB propagating in atmospheric turbulence

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Fig. 2. Intensity evolution of IPB propagating in free space. (a) Side-view propagation of the beam; (b) transverse intensity distributions at different transmission distances (z=0,2,4,6,8,10 km)

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Fig. 3. One-dimensional intensity distribution of IPB at different transmission distances

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Fig. 4. Intensity evolution of IPBs propagating in free space. (a) Side-view propagation of the beam; (b) transverse intensity distributions at different transmission distances (z=0,2,4,6,8,10 km)

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Fig. 5. One-dimensional intensity distribution of NUCIPB at different transmission distances

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Fig. 6. Curves of the scintillation index varying with $z_{m a x}$ for different receiver aperture radius $R_{a}$ under moderate turbulence intensity. (a) $R_{a} = 0.05 m$ ; (b) $R_{a} = 0.10 m$

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Fig. 7. Transverse intensity distributions of each beam under different turbulence conditions after 10 km transmission. (a) Propagation in free space ( $C_{n}^{2} = 0$ ); (b) weak turbulence ( $C_{n}^{2} = 5 \times 10^{- 16} m^{- 2 / 3}$ ); (c) moderate turbulence ( $C_{n}^{2} = 10^{- 15} m^{- 2 / 3}$ ); (d) strong turbulence ( $C_{n}^{2} = 5 \times 10^{- 15} m^{- 2 / 3}$ )

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Fig. 8. Variations of scintillation index with transmission distance of beams under different turbulence conditions. (a) Weak turbulence; (b) moderate turbulence; (c) strong turbulence

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Fig. 9. Variations of PIB with transmission distance of beams under different turbulence conditions. (a) Weak turbulence; (b) moderate turbulence; (c) strong turbulence

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Fig. 10. Variation of beam spreading with transmission distance of beams under different turbulence conditions. (a) Weak turbulence; (b) moderate turbulence; (c) strong turbulence

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Fig. 11. Variations of centroid drift with transmission distance of beams under different turbulence conditions. (a) Weak turbulence; (b) moderate turbulence; (c) strong turbulence

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Fig. 12. Variations of $S_{R}$ with transmission distance of beams under different turbulence conditions. (a) Weak turbulence; (b) moderate turbulence; (c) strong turbulence

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Fig. 13. Variation of BER with transmission distance of beams under different turbulence conditions. (a) Weak turbulence; (b) moderate turbulence; (c) strong turbulence

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Table 1. Simulation parameter settings for beam optimization

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Table 1. Simulation parameter settings for beam optimization

Parameter	Value	Parameter	Value
Grid width $N$	513	Transmission distance $z$ /km	10
Screen width $D$ /m	1.6	Screens spacing $Δ z$ /km	1
Wavelength $λ$ /nm	1550	Statistics times $m$	500
Waist radius $w_{0}$ /m	0.4	Inner scale $l_{0}$ /mm	5
Transmission aperture diameter $D_{t}$ /m	0.4	Outer scale $L_{0}$ /m	10
Tuning parameter $z_{m a x}$ /km	6‒20	Refractive index structure parameter $C_{n}^{2}$ / $m^{- 2 / 3}$	$10^{- 15}$

Table 2. Simulation parameter settings for beam comparison

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Table 2. Simulation parameter settings for beam comparison

Parameter	Value	Parameter	Value
GB waist radius $w_{0}$ /m	0.2	Weak turbulence / $m^{- 2 / 3}$	$5 \times 10^{- 16}$
Number of the discrete modes $N$	100	Intermediate turbulence / $m^{- 2 / 3}$	$10^{- 15}$
Source spatial coherence length $w_{c}$ /m	0.05	Strong turbulence / $m^{- 2 / 3}$	$5 \times 10^{- 15}$
Transmission distance $z$ /km	10	Receiver aperture radius $R_{a}$ /m	0.05， 0.10
Step size $Δ z$ /km	1	Transmit optical power $P_{T x}$ /dBm	20

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Jin Xu, Peng Zhang, Hang Chen, Yuanxin Wang, Liang Wu, Sheng Luan, Heshu Wang, Shoufeng Tong. Study on Atmospheric Turbulent Transmission Characteristics of Nonuniformly Correlated Inverted Pin Beams[J]. Acta Optica Sinica, 2025, 45(12): 1201003

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Paper Information

Category: Atmospheric Optics and Oceanic Optics

Received: Aug. 28, 2024

Accepted: Nov. 28, 2024

Published Online: Jun. 23, 2025

The Author Email: Peng Zhang (zhangpeng@cust.edu.cn)

DOI:10.3788/AOS241491

CSTR:32393.14.AOS241491

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