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

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 f...

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Main Authors: Fazhi Wang, Wenhe Du, Qi Yuan, Daosen Liu, Shuang Feng
Format: Article
Language:English
Published: MDPI AG 2022-01-01
Series:Atmosphere
Subjects:
Online Access:https://www.mdpi.com/2073-4433/13/2/162
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author Fazhi Wang
Wenhe Du
Qi Yuan
Daosen Liu
Shuang Feng
author_facet Fazhi Wang
Wenhe Du
Qi Yuan
Daosen Liu
Shuang Feng
author_sort Fazhi Wang
collection DOAJ
description 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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spelling doaj.art-de93b33fe29e4726854c26c0f64d44342023-11-23T18:43:13ZengMDPI AGAtmosphere2073-44332022-01-0113216210.3390/atmos13020162Wander of a Gaussian-Beam Wave Propagating through Kolmogorov and Non-Kolmogorov Turbulence along Laser-Satellite Communication UplinkFazhi Wang0Wenhe Du1Qi Yuan2Daosen Liu3Shuang Feng4College of Telecommunication and Electronic Engineering, Qiqihar University, Qiqihar 161006, ChinaCollege of Telecommunication and Electronic Engineering, Qiqihar University, Qiqihar 161006, ChinaCollege of Telecommunication and Electronic Engineering, Qiqihar University, Qiqihar 161006, ChinaCollege of Telecommunication and Electronic Engineering, Qiqihar University, Qiqihar 161006, ChinaCollege of Telecommunication and Electronic Engineering, Qiqihar University, Qiqihar 161006, ChinaIt 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.https://www.mdpi.com/2073-4433/13/2/162satellite laser communicationatmospheric opticsnon-Kolmogorov turbulenceKolmogorov turbulencebeam wander
spellingShingle Fazhi Wang
Wenhe Du
Qi Yuan
Daosen Liu
Shuang Feng
Wander of a Gaussian-Beam Wave Propagating through Kolmogorov and Non-Kolmogorov Turbulence along Laser-Satellite Communication Uplink
Atmosphere
satellite laser communication
atmospheric optics
non-Kolmogorov turbulence
Kolmogorov turbulence
beam wander
title Wander of a Gaussian-Beam Wave Propagating through Kolmogorov and Non-Kolmogorov Turbulence along Laser-Satellite Communication Uplink
title_full Wander of a Gaussian-Beam Wave Propagating through Kolmogorov and Non-Kolmogorov Turbulence along Laser-Satellite Communication Uplink
title_fullStr Wander of a Gaussian-Beam Wave Propagating through Kolmogorov and Non-Kolmogorov Turbulence along Laser-Satellite Communication Uplink
title_full_unstemmed Wander of a Gaussian-Beam Wave Propagating through Kolmogorov and Non-Kolmogorov Turbulence along Laser-Satellite Communication Uplink
title_short Wander of a Gaussian-Beam Wave Propagating through Kolmogorov and Non-Kolmogorov Turbulence along Laser-Satellite Communication Uplink
title_sort wander of a gaussian beam wave propagating through kolmogorov and non kolmogorov turbulence along laser satellite communication uplink
topic satellite laser communication
atmospheric optics
non-Kolmogorov turbulence
Kolmogorov turbulence
beam wander
url https://www.mdpi.com/2073-4433/13/2/162
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AT daosenliu wanderofagaussianbeamwavepropagatingthroughkolmogorovandnonkolmogorovturbulencealonglasersatellitecommunicationuplink
AT shuangfeng wanderofagaussianbeamwavepropagatingthroughkolmogorovandnonkolmogorovturbulencealonglasersatellitecommunicationuplink