Improved equivalent optical turbulence method for anisotropic compressible and atmospheric turbulence under different beam transmission distances

Abstract The impact of different turbulence on beams can be seen as optical distortions caused by refractive index fluctuations around vortices in turbulence. Therefore, from the perspective of transmission effects, the transmission outcomes of beam in different turbulences can be mutually equivalen...

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Main Authors: Wenjie Wu, Jinyu Xie, Lu Bai
Format: Article
Language:English
Published: Nature Portfolio 2025-01-01
Series:Scientific Reports
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Online Access:https://doi.org/10.1038/s41598-025-87849-0
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author Wenjie Wu
Jinyu Xie
Lu Bai
author_facet Wenjie Wu
Jinyu Xie
Lu Bai
author_sort Wenjie Wu
collection DOAJ
description Abstract The impact of different turbulence on beams can be seen as optical distortions caused by refractive index fluctuations around vortices in turbulence. Therefore, from the perspective of transmission effects, the transmission outcomes of beam in different turbulences can be mutually equivalent. Since the mechanisms of beam propagation in compressible turbulence are not yet fully understood and the relevant theories are not well-established, a preliminary analysis of beam transmission in compressible turbulence is necessary. This analysis will help understand the medium characteristics of compressible turbulence, particularly its similarities and differences with atmospheric turbulence, before the optical effects of compressible turbulence are fully resolved. This paper establishes a connection between anisotropic atmospheric turbulence and compressible turbulence parameters by utilizing the mature solutions of beam in anisotropic atmospheric turbulence. We then employ the optical parameters of anisotropic atmospheric turbulence to represent those in compressible turbulence, leveraging existing solutions to assess beam transmission in compressible turbulence. Building upon the original equivalent method, we extend the dimension of transmission distance, ensuring that beams equivalence is maintained across different turbulence regimes. The results indicate that the equivalent method can effectively adapt to compressible turbulence. By using the equivalent structure function, it is possible to represent compressible turbulence parameters with the atmospheric refractive index structure constant. This method also works across different transmission distances. The method facilitates finding various solutions for beam in compressible turbulence.
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spelling doaj-art-b0fd47e5ea7f40f398ff880468c66fe82025-02-02T12:18:28ZengNature PortfolioScientific Reports2045-23222025-01-011511910.1038/s41598-025-87849-0Improved equivalent optical turbulence method for anisotropic compressible and atmospheric turbulence under different beam transmission distancesWenjie Wu0Jinyu Xie1Lu Bai2School of Information Engineering, Sanming UniversitySchool of Information Engineering, Sanming UniversitySchool of Physics, Xidian UniversityAbstract The impact of different turbulence on beams can be seen as optical distortions caused by refractive index fluctuations around vortices in turbulence. Therefore, from the perspective of transmission effects, the transmission outcomes of beam in different turbulences can be mutually equivalent. Since the mechanisms of beam propagation in compressible turbulence are not yet fully understood and the relevant theories are not well-established, a preliminary analysis of beam transmission in compressible turbulence is necessary. This analysis will help understand the medium characteristics of compressible turbulence, particularly its similarities and differences with atmospheric turbulence, before the optical effects of compressible turbulence are fully resolved. This paper establishes a connection between anisotropic atmospheric turbulence and compressible turbulence parameters by utilizing the mature solutions of beam in anisotropic atmospheric turbulence. We then employ the optical parameters of anisotropic atmospheric turbulence to represent those in compressible turbulence, leveraging existing solutions to assess beam transmission in compressible turbulence. Building upon the original equivalent method, we extend the dimension of transmission distance, ensuring that beams equivalence is maintained across different turbulence regimes. The results indicate that the equivalent method can effectively adapt to compressible turbulence. By using the equivalent structure function, it is possible to represent compressible turbulence parameters with the atmospheric refractive index structure constant. This method also works across different transmission distances. The method facilitates finding various solutions for beam in compressible turbulence.https://doi.org/10.1038/s41598-025-87849-0Laser propagationScintillation indexAtmospheric turbulenceCompressible turbulenceEquivalent turbulent parameters
spellingShingle Wenjie Wu
Jinyu Xie
Lu Bai
Improved equivalent optical turbulence method for anisotropic compressible and atmospheric turbulence under different beam transmission distances
Scientific Reports
Laser propagation
Scintillation index
Atmospheric turbulence
Compressible turbulence
Equivalent turbulent parameters
title Improved equivalent optical turbulence method for anisotropic compressible and atmospheric turbulence under different beam transmission distances
title_full Improved equivalent optical turbulence method for anisotropic compressible and atmospheric turbulence under different beam transmission distances
title_fullStr Improved equivalent optical turbulence method for anisotropic compressible and atmospheric turbulence under different beam transmission distances
title_full_unstemmed Improved equivalent optical turbulence method for anisotropic compressible and atmospheric turbulence under different beam transmission distances
title_short Improved equivalent optical turbulence method for anisotropic compressible and atmospheric turbulence under different beam transmission distances
title_sort improved equivalent optical turbulence method for anisotropic compressible and atmospheric turbulence under different beam transmission distances
topic Laser propagation
Scintillation index
Atmospheric turbulence
Compressible turbulence
Equivalent turbulent parameters
url https://doi.org/10.1038/s41598-025-87849-0
work_keys_str_mv AT wenjiewu improvedequivalentopticalturbulencemethodforanisotropiccompressibleandatmosphericturbulenceunderdifferentbeamtransmissiondistances
AT jinyuxie improvedequivalentopticalturbulencemethodforanisotropiccompressibleandatmosphericturbulenceunderdifferentbeamtransmissiondistances
AT lubai improvedequivalentopticalturbulencemethodforanisotropiccompressibleandatmosphericturbulenceunderdifferentbeamtransmissiondistances