Coherent Property Evolution of Partially Coherent Elliptical Vortex Beam Propagation Through Turbulence

Guo Zheng

doi:10.3788/LOP202158.0901001

Journals >Laser & Optoelectronics Progress >Volume 58 >Issue 9 >Page 0901001 > Article

Laser & Optoelectronics Progress
Vol. 58, Issue 9, 0901001 (2021)

Coherent Property Evolution of Partially Coherent Elliptical Vortex Beam Propagation Through Turbulence

Guo Zheng^*

Author Affiliations

Jiangsu Automation Research Institute, Lianyungang , Jiangsu 222000, China

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DOI: 10.3788/LOP202158.0901001 Cite this Article Set citation alerts

Guo Zheng. Coherent Property Evolution of Partially Coherent Elliptical Vortex Beam Propagation Through Turbulence[J]. Laser & Optoelectronics Progress, 2021, 58(9): 0901001 Copy Citation Text

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Spectral density evolution of partially coherent elliptical vortex beam propagation in vacuum (C˜n2=0). (a) Elliptic rate α=1; （b）α=5/3; （c）α=5

Fig. 1. Spectral density evolution of partially coherent elliptical vortex beam propagation in vacuum (

{\tilde{C}}_{n}^{2} = 0

). (a) Elliptic rate

α = 1

; （b）

α = 5 / 3

; （c）

α = 5

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Spectral density evolution of partially coherent elliptical vortex beam propagation through anisotropic non-Kolmogorov turbulence. (a) α=1; （b）α=5/3; （c）α=5

Fig. 2. Spectral density evolution of partially coherent elliptical vortex beam propagation through anisotropic non-Kolmogorov turbulence. (a)

α = 1

; （b）

α = 5 / 3

; （c）

α = 5

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Fig. 3. Spectral density of partially coherent elliptical vortex beam (

α = 5

) with different coherence lengths after 1 km transmission. (a)‒(d) Vacuum; (e)‒(h) anisotropic non-Kolmogorov turbulence

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Fig. 4. Spectral density of partially coherent elliptical vortex beam (

α = 5

) propagation through non-Kolmogorov turbulence with different anisotropic factors after 1 km transmission. (a)‒(c) anisotropic factors with 1,3,5; (d) normalized spectral density

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Fig. 5. Spectral coherence distribution of partially coherent elliptical vortex beam propagation through different medium. (a) Vacuum; (b)(c) anisotropic non-Kolmogorov turbulence

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Fig. 6. Curves of

R e μ = 0

and

I m μ = 0

for partially coherent elliptical vortex beam propagation through turbulence, solid line is

R e μ = 0

, dash line is

I m μ = 0

. (a)

α = 1

，500 m transmission；(b)

α = 1

，1 km transmission；(c)

α = 3

，500 m transmission；（d）

α = 3

，1 km transmission

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Fig. 7. Position evolution of the coherent vortex point for partially coherent elliptical vortex beam propagation through turbulence. (a)(c) x direction; (b)(d) y direction

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Fig. 8. Relationship between the interference term

M_{T} / z

of anisotropic non-Kolmogorov turbulence and the power index

α^{'}

of the turbulence spectrum

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α	δ=0.5 cm	δ=1 cm	δ=5 cm	∞(completely coherent)
0.2	222	438	770	798
1	221	440	773	799
3	251	466	795	817
5	285	533	837	853
7	334	595	889	905

Table 1. Conservation distance

z_{c}

under different ellipticity

α

and coherence length

δ

				0(vacuum)
$z_{c}$ /m	379	775	1401	1801
$α^{'}$	3.01	3.06	3.2	3.8
$z_{c}$ /m	865	759	893	1791
$ς$	1	2	3	5
$z_{c}$ /m	391	605	778	1049

Table 2. Conservation distance

z_{c}

under different turbulence parameters

	(1 cm, 1 cm)	(1 cm, 3 cm)	(1 cm, 5 cm)	(2 cm, 2 cm)
zc /m	251	287	318	358
$ρ_{1}$	(3 cm, 1 cm)	(3 cm, 3 cm)	(3 cm, 5 cm)	(5 cm, 3 cm)
zc /m	383	408	426	469

Table 3. Conservation distance

z_{c}

at different reference points

ρ_{1}

(

α = 5

)

Guo Zheng. Coherent Property Evolution of Partially Coherent Elliptical Vortex Beam Propagation Through Turbulence[J]. Laser & Optoelectronics Progress, 2021, 58(9): 0901001

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