• Laser & Optoelectronics Progress
  • Vol. 58, Issue 21, 2103001 (2021)
Ning Yang, Liang Zhao, Ying Xu, Shengkai Yang, and Yonggen Xu*
Author Affiliations
  • School of Science, Xihua University, Chengdu , Sichuan 610039, China
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    DOI: 10.3788/LOP202158.2103001 Cite this Article Set citation alerts
    Ning Yang, Liang Zhao, Ying Xu, Shengkai Yang, Yonggen Xu. Propagation Characteristics of Radially Polarized Partially Coherent Twisted Beam in Anisotropic Atmospheric Turbulence[J]. Laser & Optoelectronics Progress, 2021, 58(21): 2103001 Copy Citation Text show less

    Abstract

    This study derives the analytical expressions for the propagation factor and spatial expansion of radially polarized partially coherent twisted beams (RPPCTBs) in anisotropic atmospheric turbulence, with a focus on the effects of beam parameters, such as twisting factors and atmospheric turbulence parameters including anisotropic factors, on beam propagation characteristics. Using numerical simulation calculations, the effects of the initial coherence length, beam waist width, wavelength, twist factor, anisotropy factor, turbulence inner scale, turbulence outer scale, and generalized exponential parameters on the beam transmission quality are analyzed. Simulation results show that by decreasing the initial coherence length of the beam and increasing the beam waist width and wavelength, the transmission quality of the beam can be improved. Moreover, the twisting factor of the beam is increased and the beam shows a small transmission factor, demonstrating that the beam can be adjusted reasonably and the twisting phase can effectively improve the antiturbulence ability of the beam.
    W(ρ1,ρ2 ;0) =Wxx(ρ1,ρ2 ;0) Wxy(ρ1,ρ2 ;0)Wyx(ρ1,ρ2 ;0) Wyy(ρ1,ρ2 ;0)
    Wσσ(ρ1,ρ2;0)=σ01σ02w02exp-ρ12+ρ22w02exp-(ρ1-ρ2)22δσσ2exp-ikμσσ(x01y02-x02y01),σ=x,y
    W(r,rd;z')=k2πz'2W(ρ,ρd;0)×expikz'(r-ρ)(rd-ρd)-0.5Dw(rd,ρd;z')d2ρd2ρd
    Dw(rd,ρd;z')=8π2k2z'01dξ01-J0κρdξ+1-ξrdΦn(κ)κdκ
    hTrr,θ ;z'=k2π2WTrr,rd ;z'exp-ikθrddrd2
    xn1yn2θxm1θym2=1Pxn1yn2θxm1θym2hTrr,θ ;z'd2rd2θ
    ρ2=x2+y2=ρ20+2ρθ0z'+θ20z'2+43z'3T
    ρθ=xθx+yθy=ρθ0+θ20z'+2z'2T
    θ2=θx2+θy2=θ20+4z'T
    T=π20Φn(κ)κ3dκ
    ρ20=w02ρθ0=0θ20=4w02k2+1k2δxx2+1k2δyy2+w02μ2
    M2(z') =kρ2θ2-ρθ21/2=kAB-C1/2
    ω(z') =ρ21/2=w02+4w02k2+1k2δxx2+1k2δyy2+w02μ2z'2+43z'3T1/2
    A= w02+4w02k2+1k2δxx2+1k2δyy2+w02μ2z'2+43z'3T
    B=4w02k2+1k2δxx2+1k2δyy2+w02μ2+2z'2T
    C =4w02k2+1k2δxx2+1k2δyy2+w02μ2z'+4z'T2
    Φnκ=A'(α)C˜n2ζ2ζ2κx2+ζ2κy2+κz2+κ02α/2expζ2κx2+ζ2κy2+κz2κm2
    T=1ζ2π2A'(α)C˜n22(α-2)2κ02κm2-α+(α-2)κm4-αexpκ02κm2Γ2-α2,κ02κm2-2κ04-α
    Ning Yang, Liang Zhao, Ying Xu, Shengkai Yang, Yonggen Xu. Propagation Characteristics of Radially Polarized Partially Coherent Twisted Beam in Anisotropic Atmospheric Turbulence[J]. Laser & Optoelectronics Progress, 2021, 58(21): 2103001
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