Statistical Properties of a Twisted Gaussian Schell-Model Beam Carrying the Cross Phase in a Turbulent Atmosphere

In this letter, we conducted a detailed investigation of the statistical properties, such as spectral density, spectral degree of coherence (SDOC), orbital angular momentum (OAM) flux density, and propagation factor M<sup>2</sup>, of a twisted Gaussian Schell-model (TGSM) beam carrying t...

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Main Authors: Wenshuo Hou, Leixin Liu, Xianlong Liu, Yangjian Cai, Xiaofeng Peng
Format: Article
Language:English
Published: MDPI AG 2024-01-01
Series:Photonics
Subjects:
Online Access:https://www.mdpi.com/2304-6732/11/2/124
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author Wenshuo Hou
Leixin Liu
Xianlong Liu
Yangjian Cai
Xiaofeng Peng
author_facet Wenshuo Hou
Leixin Liu
Xianlong Liu
Yangjian Cai
Xiaofeng Peng
author_sort Wenshuo Hou
collection DOAJ
description In this letter, we conducted a detailed investigation of the statistical properties, such as spectral density, spectral degree of coherence (SDOC), orbital angular momentum (OAM) flux density, and propagation factor M<sup>2</sup>, of a twisted Gaussian Schell-model (TGSM) beam carrying the cross phase in a turbulent atmosphere. Our findings revealed that atmospheric turbulence induces degeneration of the intensity distribution and spectral degree of coherence of a Gaussian Schell-model beam with the cross phase during propagation, while the twist phase acts as an antidote to degradation. Furthermore, we observed that the z-component of the time-averaged angular momentum flux is determined by the twist phase, whereas the cross phase influences the distribution of the OAM flux density in the beam. Additionally, we explored the variations in the propagation factor M<sup>2</sup> of a TGSM beam with the cross phase in a turbulent atmosphere. Notably, we discovered that the deleterious effects of the atmospheric conditions can be mitigated by modulating both the twist and the cross phases. This work contributes valuable insights for information transfer and optical manipulations.
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spelling doaj.art-be20d9cd703144b7abc38d3bf5b913a12024-02-23T15:31:36ZengMDPI AGPhotonics2304-67322024-01-0111212410.3390/photonics11020124Statistical Properties of a Twisted Gaussian Schell-Model Beam Carrying the Cross Phase in a Turbulent AtmosphereWenshuo Hou0Leixin Liu1Xianlong Liu2Yangjian Cai3Xiaofeng Peng4Shandong Provincial Engineering and Technical Center of Light Manipulations & Shandong Provincial Key Laboratory of Optics and Photonic Device, School of Physics and Electronics, Shandong Normal University, Jinan 250014, ChinaShandong Provincial Engineering and Technical Center of Light Manipulations & Shandong Provincial Key Laboratory of Optics and Photonic Device, School of Physics and Electronics, Shandong Normal University, Jinan 250014, ChinaShandong Provincial Engineering and Technical Center of Light Manipulations & Shandong Provincial Key Laboratory of Optics and Photonic Device, School of Physics and Electronics, Shandong Normal University, Jinan 250014, ChinaShandong Provincial Engineering and Technical Center of Light Manipulations & Shandong Provincial Key Laboratory of Optics and Photonic Device, School of Physics and Electronics, Shandong Normal University, Jinan 250014, ChinaShandong Provincial Engineering and Technical Center of Light Manipulations & Shandong Provincial Key Laboratory of Optics and Photonic Device, School of Physics and Electronics, Shandong Normal University, Jinan 250014, ChinaIn this letter, we conducted a detailed investigation of the statistical properties, such as spectral density, spectral degree of coherence (SDOC), orbital angular momentum (OAM) flux density, and propagation factor M<sup>2</sup>, of a twisted Gaussian Schell-model (TGSM) beam carrying the cross phase in a turbulent atmosphere. Our findings revealed that atmospheric turbulence induces degeneration of the intensity distribution and spectral degree of coherence of a Gaussian Schell-model beam with the cross phase during propagation, while the twist phase acts as an antidote to degradation. Furthermore, we observed that the z-component of the time-averaged angular momentum flux is determined by the twist phase, whereas the cross phase influences the distribution of the OAM flux density in the beam. Additionally, we explored the variations in the propagation factor M<sup>2</sup> of a TGSM beam with the cross phase in a turbulent atmosphere. Notably, we discovered that the deleterious effects of the atmospheric conditions can be mitigated by modulating both the twist and the cross phases. This work contributes valuable insights for information transfer and optical manipulations.https://www.mdpi.com/2304-6732/11/2/124twist phasecross phaseturbulent atmospherepartially coherent beam
spellingShingle Wenshuo Hou
Leixin Liu
Xianlong Liu
Yangjian Cai
Xiaofeng Peng
Statistical Properties of a Twisted Gaussian Schell-Model Beam Carrying the Cross Phase in a Turbulent Atmosphere
Photonics
twist phase
cross phase
turbulent atmosphere
partially coherent beam
title Statistical Properties of a Twisted Gaussian Schell-Model Beam Carrying the Cross Phase in a Turbulent Atmosphere
title_full Statistical Properties of a Twisted Gaussian Schell-Model Beam Carrying the Cross Phase in a Turbulent Atmosphere
title_fullStr Statistical Properties of a Twisted Gaussian Schell-Model Beam Carrying the Cross Phase in a Turbulent Atmosphere
title_full_unstemmed Statistical Properties of a Twisted Gaussian Schell-Model Beam Carrying the Cross Phase in a Turbulent Atmosphere
title_short Statistical Properties of a Twisted Gaussian Schell-Model Beam Carrying the Cross Phase in a Turbulent Atmosphere
title_sort statistical properties of a twisted gaussian schell model beam carrying the cross phase in a turbulent atmosphere
topic twist phase
cross phase
turbulent atmosphere
partially coherent beam
url https://www.mdpi.com/2304-6732/11/2/124
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