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.

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  28. G. Zhou and X. ChuM2-factor of a partially coherent Lorentz-Gauss beam in a turbulent atmosphereAppl. Phys. B: Lasers Opt.2010100909915
  29. P. Zhou, X. Wang, Y. Ma, H. Ma, X. Xu, and Z. LiuAverage intensity and spreading of a Lorentz beam propagating in a turbulent atmosphereJ. Opt.201012015409
  30. G. Q. ZhouPropagation of a radial phased-locked Lorentz beam array in turbulent atmosphereOpt. Express2011192469924711
  31. C. L. Zhao and Y. J. CaiPropagation of partially coherent Lorentz and Lorentz-Gauss beams through a paraxial ABCD optical system in a turbulent atmosphereJ. Mod. Opt.201158810818
  32. D. J. Liu and Y. C. WangAverage intensity of a Lorentz beam in oceanic turbulenceOptik20171447685
  33. G. Zhou and G. RuPropagation of a Lorentz-Gauss vortex beam in a turbulent atmosphereProg. Electromagn. Res.2013143143163
  34. P. SchmidtA method for the convolution of lineshapes which involve the Lorentz distributionJ. Phys. B1976923312339
  35. H. D. A. JeffreyHandbook of mathematical formulas and integralsfourth editionAcademic Press Inc2008

Other (35)

F. Wang, X. L. Liu, and Y. J. CaiPropagation of partially coherent beam in turbulent atmosphere: a reviewProg. Electromagn. Res.2015150123143

D. J. Liu, Y. C. Wang, and H. M. YinPropagation properties of partially coherent four-petal Gaussian vortex beams in turbulent atmosphereOpt. Laser Technol.20167895100

M. Yousefi, F. D. Kashani, S. Golmohammady, E. Kazemian, and B. GhafaryAnalysing the behaviour of partially coherent divergent Gaussian beams propagating through oceanic turbulenceJ. Mod. Opt.20146114301441

D. Liu, X. Luo, G. Wang, and Y. WangSpectral and coherence properties of spectrally partially coherent Gaussian Schell-model pulsed beams propagating in turbulent atmosphereCurr. Opt. Photon.20171271277

O. Korotkova and N. FarwellEffect of oceanic turbulence on polarization of stochastic beamsOpt. Commun.201128417401746

M. M. Tang and D. M. ZhaoPropagation of radially polarized beams in the oceanic turbulenceAppl. Phys. B: Lasers Opt.2013111665670

Y. Zhou, Q. Chen, and D. M. ZhaoPropagation of astigmatic stochastic electromagnetic beams in oceanic turbulenceAppl. Phys. B: Lasers Opt.2014114475482

J. Xu and D. M. ZhaoPropagation of a stochastic electromagnetic vortex beam in the oceanic turbulenceOpt. Laser Technol.201457189193

Y. P. Huang, B. Zhang, Z. H. Gao, G. P. Zhao, and Z. C. DuanEvolution behavior of Gaussian Schell-model vortex beams propagating through oceanic turbulenceOpt. Express2014221772317734

T. Yang, X. L. Ji, and X. Q. LiPropagation characteristics of partially coherent decentred annular beams propagating through oceanic turbulenceActa Phys. Sin. (Chin. Ed.)201564204206

D. J. Liu, Y. C. Wang, and H. M. YinEvolution properties of partially coherent flat-topped vortex hollow beam in oceanic turbulenceAppl. Opt.2015541051010516

L. Lu, Z. Q. Wang, J. H. Zhang, P. F. Zhang, C. H. Qiao, C. Y. Fan, and X. L. JiAverage intensity of M × N Gaussian array beams in oceanic turbulenceAppl. Opt.20155475007507

M. M. Tang and D. M. ZhaoRegions of spreading of Gaussian array beams propagating through oceanic turbulenceAppl. Opt.20155434073411

L. Lu, P. F. Zhang, C. Y. Fan, and C. H. QiaoInfluence of oceanic turbulence on propagation of a radial Gaussian beam arrayOpt. Express20152328272836

Y. P. Huang, P. Huang, F. H. Wang, G. P. Zhao, and A. P. ZengThe influence of oceanic turbulence on the beam quality parameters of partially coherent Hermite-Gaussian linear array beamsOpt. Commun.2015336146152

Y. BaykalFourth-order mutual coherence function in oceanic turbulenceAppl. Opt.20165529762979

D. J. Liu, L. Chen, Y. C. Wang, G. Q. Wang, and H. M. YinAverage intensity properties of flat-topped vortex hollow beam propagating through oceanic turbulenceOptik201612769616969

Y. M. Dong, L. N. Guo, C. H. Liang, F. Wang, and Y. J. CaiStatistical properties of a partially coherent cylindrical vector beam in oceanic turbulenceJ. Opt. Soc. Am. A201532894901

D. J. Liu, Y. C. Wang, G. Q. Wang, H. M. Yin, and J. R. WangThe influence of oceanic turbulence on the spectral properties of chirped Gaussian pulsed beamOpt. Laser Technol.2016827681

D. Liu, Y. Wang, X. Luo, G. Wang, and H. YinEvolution properties of partially coherent four-petal Gaussian beams in oceanic turbulenceJ. Mod. Opt.20176415791587

D. Liu, Y. Wang, G. Wang, X. Luo, and H. YinPropagation properties of partially coherent four-petal Gaussian vortex beams in oceanic turbulenceLaser Phys201727016001

O. El Gawhary and S. SeveriniLorentz beams and symmetry properties in paraxial opticsJ. Opt. A: Pure Appl. Opt.20068409414

C. Zhao and Y. CaiParaxial propagation of Lorentz and Lorentz-Gauss beams in uniaxial crystals orthogonal to the optical axisJ. Mod. Opt.201057375384

Y. Z. Ni and G. Q. ZhouNonparaxial propagation of Lorentz-Gauss vortex beams in uniaxial crystals orthogonal to the optical axisAppl. Phys. B: Lasers Opt.2012108883890

G. Q. ZhouCharacteristics of paraxial propagation of a super Lorentz-Gauss SLG01 mode in uniaxial crystal orthogonal to the optical axisChin. Phys. B201221054104

D. Liu, H. Yin, G. Wang, and Y. WangPropagation properties of a partially coherent Lorentz beam in uniaxial crystal orthogonal to the optical axisJ. Opt. Soc. Am. A201734953960

G. ZhouAverage intensity and spreading of super Lorentz-Gauss modes in turbulent atmosphereAppl. Phys. B2010101371379

G. Zhou and X. ChuM2-factor of a partially coherent Lorentz-Gauss beam in a turbulent atmosphereAppl. Phys. B: Lasers Opt.2010100909915

P. Zhou, X. Wang, Y. Ma, H. Ma, X. Xu, and Z. LiuAverage intensity and spreading of a Lorentz beam propagating in a turbulent atmosphereJ. Opt.201012015409

G. Q. ZhouPropagation of a radial phased-locked Lorentz beam array in turbulent atmosphereOpt. Express2011192469924711

C. L. Zhao and Y. J. CaiPropagation of partially coherent Lorentz and Lorentz-Gauss beams through a paraxial ABCD optical system in a turbulent atmosphereJ. Mod. Opt.201158810818

D. J. Liu and Y. C. WangAverage intensity of a Lorentz beam in oceanic turbulenceOptik20171447685

G. Zhou and G. RuPropagation of a Lorentz-Gauss vortex beam in a turbulent atmosphereProg. Electromagn. Res.2013143143163

P. SchmidtA method for the convolution of lineshapes which involve the Lorentz distributionJ. Phys. B1976923312339

H. D. A. JeffreyHandbook of mathematical formulas and integralsfourth editionAcademic Press Inc2008

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