Average Intensity of a Laguerre—Gaussian Vector Vortex Beam through Inhomogeneous Atmospheric Turbulence

We investigate the evolution properties of a partially coherent Laguerre–Gaussian vector vortex (LGVV) beam through inhomogeneous atmospheric turbulence. Analytical formulae for the elements of a cross-spectral density matrix of a partially coherent LGVV beam propagating in turbulence are derived wi...

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Main Authors: Kai Huang, Yonggen Xu, Yuqiang Li
Format: Article
Language:English
Published: MDPI AG 2023-10-01
Series:Photonics
Subjects:
Online Access:https://www.mdpi.com/2304-6732/10/11/1189
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author Kai Huang
Yonggen Xu
Yuqiang Li
author_facet Kai Huang
Yonggen Xu
Yuqiang Li
author_sort Kai Huang
collection DOAJ
description We investigate the evolution properties of a partially coherent Laguerre–Gaussian vector vortex (LGVV) beam through inhomogeneous atmospheric turbulence. Analytical formulae for the elements of a cross-spectral density matrix of a partially coherent LGVV beam propagating in turbulence are derived with the help of the extended Huygens–Fresnel principle. Our outcomes demonstrate that the normalized initial profile of a partially coherent beam with concentric dark rings gradually evolves into a Gaussian-like beam profile in turbulence. We also find that the beam is emitted at a large zenith angle and quickly converts to a Gaussian-like beam. Furthermore, it is also shown that a propagation beam with a large topological charge has a stronger ability to resist atmospheric turbulence. In order to confirm our numerical results, we combine the complex screen method and multi-phase screen method to simulate the propagation of a partially coherent LGVV beam in atmospheric turbulence. It is indicated that the simulation results are in good agreement with theoretical predictions. Our results will pave the way for the development of free-space optical communications and remote sensing.
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spelling doaj.art-e018a8e8662a48648321173f35ca3f1c2023-11-24T15:01:18ZengMDPI AGPhotonics2304-67322023-10-011011118910.3390/photonics10111189Average Intensity of a Laguerre—Gaussian Vector Vortex Beam through Inhomogeneous Atmospheric TurbulenceKai Huang0Yonggen Xu1Yuqiang Li2College of Mathematics and Physics, Leshan Normal University, Leshan 614000, ChinaDepartment of Physics, School of Science, Xihua University, Chengdu 610039, ChinaGroup of Applied Astronomy Research, Yunnan Observatory, Chinese Academy of Sciences, Kunming 650011, ChinaWe investigate the evolution properties of a partially coherent Laguerre–Gaussian vector vortex (LGVV) beam through inhomogeneous atmospheric turbulence. Analytical formulae for the elements of a cross-spectral density matrix of a partially coherent LGVV beam propagating in turbulence are derived with the help of the extended Huygens–Fresnel principle. Our outcomes demonstrate that the normalized initial profile of a partially coherent beam with concentric dark rings gradually evolves into a Gaussian-like beam profile in turbulence. We also find that the beam is emitted at a large zenith angle and quickly converts to a Gaussian-like beam. Furthermore, it is also shown that a propagation beam with a large topological charge has a stronger ability to resist atmospheric turbulence. In order to confirm our numerical results, we combine the complex screen method and multi-phase screen method to simulate the propagation of a partially coherent LGVV beam in atmospheric turbulence. It is indicated that the simulation results are in good agreement with theoretical predictions. Our results will pave the way for the development of free-space optical communications and remote sensing.https://www.mdpi.com/2304-6732/10/11/1189partially coherent LGVV beaminhomogeneous atmospheric turbulencezenith angleaverage intensity
spellingShingle Kai Huang
Yonggen Xu
Yuqiang Li
Average Intensity of a Laguerre—Gaussian Vector Vortex Beam through Inhomogeneous Atmospheric Turbulence
Photonics
partially coherent LGVV beam
inhomogeneous atmospheric turbulence
zenith angle
average intensity
title Average Intensity of a Laguerre—Gaussian Vector Vortex Beam through Inhomogeneous Atmospheric Turbulence
title_full Average Intensity of a Laguerre—Gaussian Vector Vortex Beam through Inhomogeneous Atmospheric Turbulence
title_fullStr Average Intensity of a Laguerre—Gaussian Vector Vortex Beam through Inhomogeneous Atmospheric Turbulence
title_full_unstemmed Average Intensity of a Laguerre—Gaussian Vector Vortex Beam through Inhomogeneous Atmospheric Turbulence
title_short Average Intensity of a Laguerre—Gaussian Vector Vortex Beam through Inhomogeneous Atmospheric Turbulence
title_sort average intensity of a laguerre gaussian vector vortex beam through inhomogeneous atmospheric turbulence
topic partially coherent LGVV beam
inhomogeneous atmospheric turbulence
zenith angle
average intensity
url https://www.mdpi.com/2304-6732/10/11/1189
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AT yonggenxu averageintensityofalaguerregaussianvectorvortexbeamthroughinhomogeneousatmosphericturbulence
AT yuqiangli averageintensityofalaguerregaussianvectorvortexbeamthroughinhomogeneousatmosphericturbulence