Research on Hypergeometric-Gaussian Vortex Beam Propagating under Oceanic Turbulence by Theoretical Derivation and Numerical Simulation

In this paper, we use two methods to research the propagation characteristics of a Hypergeometric-Gaussian (HyGG) vortex beam under oceanic turbulence. One is numerical calculation based on the Rytov approximation theory, where the theoretical detection probability equation of the HyGG vortex beam p...

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Main Authors: Xinguang Wang, Le Wang, Shengmei Zhao
Format: Article
Language:English
Published: MDPI AG 2021-04-01
Series:Journal of Marine Science and Engineering
Subjects:
Online Access:https://www.mdpi.com/2077-1312/9/4/442
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author Xinguang Wang
Le Wang
Shengmei Zhao
author_facet Xinguang Wang
Le Wang
Shengmei Zhao
author_sort Xinguang Wang
collection DOAJ
description In this paper, we use two methods to research the propagation characteristics of a Hypergeometric-Gaussian (HyGG) vortex beam under oceanic turbulence. One is numerical calculation based on the Rytov approximation theory, where the theoretical detection probability equation of the HyGG vortex beam propagating through oceanic turbulence is derived. The other is numerical simulation based on random phase screens model of oceanic turbulence, where the influences generated by oceanic turbulence on the phase and intensity of the propagation beam as well as the propagation of the beam through several independent phase screens, kept at the same distance, have the same effect. The effects of oceanic turbulence parameters and initial beam parameters on the detection probability of the HyGG vortex beam at the receiver are discussed. The results of theoretical derivation are well in agreement with those of numerical simulation, which demonstrated that the numerical simulation method could effectively simulate the complex theoretical derivation. Both results show that with higher dissipation rate of kinetic energy per unit mass of fluid, smaller dissipation rate of mean-squared temperature and lower temperature-salinity contribution ratio comes the better detection probability. Meanwhile, a HyGG vortex beam with smaller topological charge and longer wavelength has a superior turbulent resistance property. It provides a promising way to estimate the propagation characteristics of the optical beams in an underwater environment.
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spelling doaj.art-1365bf551e7d49179910616c57b5f5562023-11-21T16:09:03ZengMDPI AGJournal of Marine Science and Engineering2077-13122021-04-019444210.3390/jmse9040442Research on Hypergeometric-Gaussian Vortex Beam Propagating under Oceanic Turbulence by Theoretical Derivation and Numerical SimulationXinguang Wang0Le Wang1Shengmei Zhao2Institute of Signal Processing and Transmission, Nanjing University of Posts and Telecommunications, Nanjing 210003, ChinaInstitute of Signal Processing and Transmission, Nanjing University of Posts and Telecommunications, Nanjing 210003, ChinaInstitute of Signal Processing and Transmission, Nanjing University of Posts and Telecommunications, Nanjing 210003, ChinaIn this paper, we use two methods to research the propagation characteristics of a Hypergeometric-Gaussian (HyGG) vortex beam under oceanic turbulence. One is numerical calculation based on the Rytov approximation theory, where the theoretical detection probability equation of the HyGG vortex beam propagating through oceanic turbulence is derived. The other is numerical simulation based on random phase screens model of oceanic turbulence, where the influences generated by oceanic turbulence on the phase and intensity of the propagation beam as well as the propagation of the beam through several independent phase screens, kept at the same distance, have the same effect. The effects of oceanic turbulence parameters and initial beam parameters on the detection probability of the HyGG vortex beam at the receiver are discussed. The results of theoretical derivation are well in agreement with those of numerical simulation, which demonstrated that the numerical simulation method could effectively simulate the complex theoretical derivation. Both results show that with higher dissipation rate of kinetic energy per unit mass of fluid, smaller dissipation rate of mean-squared temperature and lower temperature-salinity contribution ratio comes the better detection probability. Meanwhile, a HyGG vortex beam with smaller topological charge and longer wavelength has a superior turbulent resistance property. It provides a promising way to estimate the propagation characteristics of the optical beams in an underwater environment.https://www.mdpi.com/2077-1312/9/4/442Hypergeometric-Gaussian vortex beamoceanic turbulencetheoretical derivationrandom phase screens model
spellingShingle Xinguang Wang
Le Wang
Shengmei Zhao
Research on Hypergeometric-Gaussian Vortex Beam Propagating under Oceanic Turbulence by Theoretical Derivation and Numerical Simulation
Journal of Marine Science and Engineering
Hypergeometric-Gaussian vortex beam
oceanic turbulence
theoretical derivation
random phase screens model
title Research on Hypergeometric-Gaussian Vortex Beam Propagating under Oceanic Turbulence by Theoretical Derivation and Numerical Simulation
title_full Research on Hypergeometric-Gaussian Vortex Beam Propagating under Oceanic Turbulence by Theoretical Derivation and Numerical Simulation
title_fullStr Research on Hypergeometric-Gaussian Vortex Beam Propagating under Oceanic Turbulence by Theoretical Derivation and Numerical Simulation
title_full_unstemmed Research on Hypergeometric-Gaussian Vortex Beam Propagating under Oceanic Turbulence by Theoretical Derivation and Numerical Simulation
title_short Research on Hypergeometric-Gaussian Vortex Beam Propagating under Oceanic Turbulence by Theoretical Derivation and Numerical Simulation
title_sort research on hypergeometric gaussian vortex beam propagating under oceanic turbulence by theoretical derivation and numerical simulation
topic Hypergeometric-Gaussian vortex beam
oceanic turbulence
theoretical derivation
random phase screens model
url https://www.mdpi.com/2077-1312/9/4/442
work_keys_str_mv AT xinguangwang researchonhypergeometricgaussianvortexbeampropagatingunderoceanicturbulencebytheoreticalderivationandnumericalsimulation
AT lewang researchonhypergeometricgaussianvortexbeampropagatingunderoceanicturbulencebytheoreticalderivationandnumericalsimulation
AT shengmeizhao researchonhypergeometricgaussianvortexbeampropagatingunderoceanicturbulencebytheoreticalderivationandnumericalsimulation