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http://dx.doi.org/10.3807/COPP.2019.3.2.097

Spreading of a Lorentz-Gauss Vortex Beam Propagating through Oceanic Turbulence  

Liu, Dajun (Department of Physics, College of Science, Dalian Maritime University)
Yin, Hongming (Department of Physics, College of Science, Dalian Maritime University)
Wang, Guiqiu (Department of Physics, College of Science, Dalian Maritime University)
Wang, Yaochuan (Department of Physics, College of Science, Dalian Maritime University)
Publication Information
Current Optics and Photonics / v.3, no.2, 2019 , pp. 97-104 More about this Journal
Abstract
Based on the extended Huygens-Fresnel principle, the analytical equation for a Lorentz-Gauss vortex beam propagating through oceanic turbulence has been derived. The spreading properties of a Lorentz-Gauss vortex beam propagating through oceanic turbulence are analyzed in detail using numerical examples. The results show that a Lorentz-Gauss vortex beam propagating through stronger oceanic turbulence will spread more rapidly, and the Lorentz-Gauss vortex beam with higher topological charge M will lose its initial dark center more slowly.
Keywords
Oceanic turbulence; Lorentz-Gauss vortex; Average intensity; Laser propagation;
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Times Cited By KSCI : 1  (Citation Analysis)
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1 F. Wang, X. L. Liu, and Y. J. Cai, "Propagation of partially coherent beam in turbulent atmosphere: a review," Prog. Electromagn. Res. 150, 123-143 (2015).   DOI
2 D. J. Liu, Y. C. Wang, and H. M. Yin, "Propagation properties of partially coherent four-petal Gaussian vortex beams in turbulent atmosphere," Opt. Laser Technol. 78, 95-100 (2016).   DOI
3 M. Yousefi, F. D. Kashani, S. Golmohammady, E. Kazemian, and B. Ghafary, "Analysing the behaviour of partially coherent divergent Gaussian beams propagating through oceanic turbulence," J. Mod. Opt. 61, 1430-1441 (2014).   DOI
4 D. Liu, X. Luo, G. Wang, and Y. Wang, "Spectral and coherence properties of spectrally partially coherent Gaussian Schell-model pulsed beams propagating in turbulent atmosphere," Curr. Opt. Photon. 1, 271-277 (2017).   DOI
5 O. Korotkova and N. Farwell, "Effect of oceanic turbulence on polarization of stochastic beams," Opt. Commun. 284, 1740-1746 (2011).   DOI
6 M. M. Tang and D. M. Zhao, "Propagation of radially polarized beams in the oceanic turbulence," Appl. Phys. B: Lasers Opt. 111, 665-670 (2013).   DOI
7 Y. Zhou, Q. Chen, and D. M. Zhao, "Propagation of astigmatic stochastic electromagnetic beams in oceanic turbulence," Appl. Phys. B: Lasers Opt. 114, 475-482 (2014).   DOI
8 T. Yang, X. L. Ji, and X. Q. Li, "Propagation characteristics of partially coherent decentred annular beams propagating through oceanic turbulence," Acta Phys. Sin. (Chin. Ed.) 64, 204206 (2015).
9 J. Xu and D. M. Zhao, "Propagation of a stochastic electromagnetic vortex beam in the oceanic turbulence," Opt. Laser Technol. 57, 189-193 (2014).   DOI
10 Y. P. Huang, B. Zhang, Z. H. Gao, G. P. Zhao, and Z. C. Duan, "Evolution behavior of Gaussian Schell-model vortex beams propagating through oceanic turbulence," Opt. Express 22, 17723-17734 (2014).   DOI
11 D. J. Liu, Y. C. Wang, and H. M. Yin, "Evolution properties of partially coherent flat-topped vortex hollow beam in oceanic turbulence," Appl. Opt. 54, 10510-10516 (2015).   DOI
12 L. Lu, Z. Q. Wang, J. H. Zhang, P. F. Zhang, C. H. Qiao, C. Y. Fan, and X. L. Ji, "Average intensity of M ${\times}$ N Gaussian array beams in oceanic turbulence," Appl. Opt. 54, 7500-7507 (2015).   DOI
13 M. M. Tang and D. M. Zhao, "Regions of spreading of Gaussian array beams propagating through oceanic turbulence," Appl. Opt. 54, 3407-3411 (2015).   DOI
14 L. Lu, P. F. Zhang, C. Y. Fan, and C. H. Qiao, "Influence of oceanic turbulence on propagation of a radial Gaussian beam array," Opt. Express 23, 2827-2836 (2015).   DOI
15 Y. M. Dong, L. N. Guo, C. H. Liang, F. Wang, and Y. J. Cai, "Statistical properties of a partially coherent cylindrical vector beam in oceanic turbulence," J. Opt. Soc. Am. A 32, 894-901 (2015).   DOI
16 Y. P. Huang, P. Huang, F. H. Wang, G. P. Zhao, and A. P. Zeng, "The influence of oceanic turbulence on the beam quality parameters of partially coherent Hermite-Gaussian linear array beams," Opt. Commun. 336, 146-152 (2015).   DOI
17 Y. Baykal, "Fourth-order mutual coherence function in oceanic turbulence," Appl. Opt. 55, 2976-2979 (2016).   DOI
18 D. J. Liu, L. Chen, Y. C. Wang, G. Q. Wang, and H. M. Yin, "Average intensity properties of flat-topped vortex hollow beam propagating through oceanic turbulence," Optik 127, 6961-6969 (2016).   DOI
19 D. J. Liu, Y. C. Wang, G. Q. Wang, H. M. Yin, and J. R. Wang, "The influence of oceanic turbulence on the spectral properties of chirped Gaussian pulsed beam," Opt. Laser Technol. 82, 76-81 (2016).   DOI
20 D. Liu, Y. Wang, X. Luo, G. Wang, and H. Yin, "Evolution properties of partially coherent four-petal Gaussian beams in oceanic turbulence," J. Mod. Opt. 64, 1579-1587 (2017).   DOI
21 D. Liu, Y. Wang, G. Wang, X. Luo, and H. Yin, "Propagation properties of partially coherent four-petal Gaussian vortex beams in oceanic turbulence," Laser Phys. 27, 016001 (2017).   DOI
22 O. El Gawhary and S. Severini, "Lorentz beams and symmetry properties in paraxial optics," J. Opt. A: Pure Appl. Opt. 8, 409-414 (2006).   DOI
23 C. Zhao and Y. Cai, "Paraxial propagation of Lorentz and Lorentz-Gauss beams in uniaxial crystals orthogonal to the optical axis," J. Mod. Opt. 57, 375-384 (2010).   DOI
24 P. Zhou, X. Wang, Y. Ma, H. Ma, X. Xu, and Z. Liu, "Average intensity and spreading of a Lorentz beam propagating in a turbulent atmosphere," J. Opt. 12, 015409 (2010).   DOI
25 Y. Z. Ni and G. Q. Zhou, "Nonparaxial propagation of Lorentz-Gauss vortex beams in uniaxial crystals orthogonal to the optical axis," Appl. Phys. B: Lasers Opt. 108, 883-890 (2012).   DOI
26 G. Q. Zhou, "Characteristics of paraxial propagation of a super Lorentz-Gauss $SLG_{01}$ mode in uniaxial crystal orthogonal to the optical axis," Chin. Phys. B 21, 054104 (2012).   DOI
27 D. Liu, H. Yin, G. Wang, and Y. Wang, "Propagation properties of a partially coherent Lorentz beam in uniaxial crystal orthogonal to the optical axis," J. Opt. Soc. Am. A 34, 953-960 (2017).   DOI
28 G. Zhou, "Average intensity and spreading of super Lorentz-Gauss modes in turbulent atmosphere," Appl. Phys. B 101, 371-379 (2010).   DOI
29 G. Zhou and X. Chu, "$M^2$-factor of a partially coherent Lorentz-Gauss beam in a turbulent atmosphere," Appl. Phys. B: Lasers Opt. 100, 909-915 (2010).   DOI
30 G. Q. Zhou, "Propagation of a radial phased-locked Lorentz beam array in turbulent atmosphere," Opt. Express 19, 24699-24711 (2011).   DOI
31 C. L. Zhao and Y. J. Cai, "Propagation of partially coherent Lorentz and Lorentz-Gauss beams through a paraxial ABCD optical system in a turbulent atmosphere," J. Mod. Opt. 58, 810-818 (2011).   DOI
32 D. J. Liu and Y. C. Wang, "Average intensity of a Lorentz beam in oceanic turbulence," Optik 144, 76-85 (2017).   DOI
33 H. D. A. Jeffrey, "Handbook of mathematical formulas and integrals (fourth edition)," Academic Press Inc (2008).
34 G. Zhou and G. Ru, "Propagation of a Lorentz-Gauss vortex beam in a turbulent atmosphere," Prog. Electromagn. Res. 143, 143-163 (2013).   DOI
35 P. Schmidt, "A method for the convolution of lineshapes which involve the Lorentz distribution," J. Phys. B 9, 2331-2339 (1976).   DOI