Scintillation Index of a Spherical Wave Propagating Through Kolmogorov and Non-Kolmogorov Turbulence along Laser-Satellite Communication Uplink at Large Zenith Angles

Du, Wenhe; Yuan, Quan; Cheng, Xiujuan; Wang, Yanchun; Jin, Zhan; Liu, Daosen; Feng, Shuang; Yang, Zhengming

doi:10.1007/s10946-021-09951-8

Cited by 9 publications

(3 citation statements)

References 50 publications

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“…The related works also were extended from the two-layer atmospheric turbulence model to the three-layer one, including scintillation index of a plane and spherical wave at large zenith angles, propagation of electromagnetic waves, etc. [22][23][24]. The fluctuation conditions also gradually expanded from weak to strong fluctuations.…”

Section: Introductionmentioning

confidence: 95%

Wander of a Gaussian-Beam Wave Propagating through Kolmogorov and Non-Kolmogorov Turbulence along Laser-Satellite Communication Uplink

Fa-zhi

Yuan

et al. 2022

Atmosphere

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It is accepted that there exists two kinds of atmospheric turbulence in the Earth’s aerosphere—Kolmogorov and non-Kolmogorov turbulence; therefore, it is important to research their combined impacts on laser-satellite communications. In this paper, the exponential power spectra of refractive-index fluctuations for non-Kolmogorov turbulence in the free troposphere and stratosphere are proposed, respectively. Based on these two spectra, using the Markov approximation, beam wander displacement variances of a Gaussian-beam wave are derived, respectively, which are valid under weak turbulent fluctuations condition. On this basis, using a three-layer altitude-dependent turbulent spectrum model for vertical/slant path, the combined influence of a three-layer atmospheric turbulence on wander of a Gaussian-beam wave as the carrier wave in laser-satellite communication is studied. This three-layer spectrum is more accurate than a two-layer model. Moreover, the variations of beam wander displacement with beam radius, zenith angles, and nominal value of the refractive-index structure parameter on the ground are estimated. The theory of optical wave propagation through non-Kolmogorov atmospheric turbulence is further enriched and a theoretical model of a three-layer atmospheric turbulence beam wander for a satellite-ground laser communication uplink is established.

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Section: Introductionmentioning

confidence: 95%

Wander of a Gaussian-Beam Wave Propagating through Kolmogorov and Non-Kolmogorov Turbulence along Laser-Satellite Communication Uplink

Fa-zhi

Yuan

et al. 2022

Atmosphere

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“…The influence of strong combined atmospheric turbulence on the angle-of-arrival fluctuation of uplinks and downlinks was also studied. Furthermore, the variance and time-frequency spectrum models of angle-of-arrival fluctuation for uplinks and downlinks under a strong fluctuation regime were established and analyzed theoretically [94][95][96].…”

Section: Theoretical Studies Of Combined Influence Of Kolmogorov and ...mentioning

confidence: 99%

A Survey of Structure of Atmospheric Turbulence in Atmosphere and Related Turbulent Effects

Fa-zhi¹,

Du²,

Yuan³

et al. 2021

Atmosphere

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The Earth’s atmosphere is the living environment in which we live and cannot escape. Atmospheric turbulence is a typical random inhomogeneous medium, which causes random fluctuations of both the amplitude and phase of optical wave propagating through it. Currently, it is widely accepted that there exists two kinds of turbulence in the aerosphere: one is Kolmogorov turbulence, and the other is non-Kolmogorov turbulence, which have been confirmed by both increasing experimental evidence and theoretical investigations. The results of atmospheric measurements have shown that the structure of atmospheric turbulence in the Earth’s atmosphere is composed of Kolmogorov turbulence at lower levels and non-Kolmogorov turbulence at higher levels. Since the time of Newton, people began to study optical wave propagation in atmospheric turbulence. In the early stage, optical wave propagation in Kolmogorov atmospheric turbulence was mainly studied and then optical wave propagation in non-Kolmogorov atmospheric turbulence was also studied. After more than half a century of efforts, the study of optical wave propagation in atmospheric turbulence has made great progress, and the theoretical results are also used to guide practical applications. On this basis, we summarize the development status and latest progress of propagation theory in atmospheric turbulence, mainly including propagation theory in conventional Kolmogorov turbulence and one in non-Kolmogorov atmospheric turbulence. In addition, the combined influence of Kolmogorov and non-Kolmogorov turbulence in Earth’s atmosphere on optical wave propagation is also summarized. This timely summary is very necessary and is of great significance for various applications and development in the aerospace field, where the Earth’s atmosphere is one part of many links.

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“…The Kolmogorov turbulence model is used extensively in considering the turbulence effect of the atmosphere for its simple mathematical structure and usability for numerical calculation [4][5][6]. However, with the increase of theoretical discussion and experimental research [7][8][9], it has been found that Kolmogorov's theory could not always describe the characteristics of actual turbulence, and the non-Kolmogorov turbulence model has been widely applied to evaluate the performance of FSO terminals.…”

Section: Introductionmentioning

confidence: 99%

Theoretical and Experimental Analysis on Statistical Properties of Coupling Efficiency for Single-Mode Fiber in Free-Space Optical Communication Link Based on Non-Kolmogorov Turbulence

Gao

Chen

et al. 2022

Applied Sciences

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Non-Kolmogorov turbulence has been widely observed in free-space optical communication links and should be used to evaluate the system performance. We calculated the wavefront residual variance in the condition of the non-Kolmogorov turbulence model and deduced the mathematical expression of the probability density function (PDF) for the coupling efficiency (CE) of a single-mode fiber (SMF). The PDF was simulated, and the results showed its robustness and rationality. Moreover, an experiment was set up to verify the PDF with experimental distribution. The correlation coefficients are above 0.95 in all cases, which means the statistical model of the CE fitted the experimental distribution well.

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Scintillation Index of a Spherical Wave Propagating Through Kolmogorov and Non-Kolmogorov Turbulence along Laser-Satellite Communication Uplink at Large Zenith Angles

Cited by 9 publications

References 50 publications

Wander of a Gaussian-Beam Wave Propagating through Kolmogorov and Non-Kolmogorov Turbulence along Laser-Satellite Communication Uplink

Wander of a Gaussian-Beam Wave Propagating through Kolmogorov and Non-Kolmogorov Turbulence along Laser-Satellite Communication Uplink

A Survey of Structure of Atmospheric Turbulence in Atmosphere and Related Turbulent Effects

Theoretical and Experimental Analysis on Statistical Properties of Coupling Efficiency for Single-Mode Fiber in Free-Space Optical Communication Link Based on Non-Kolmogorov Turbulence

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