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

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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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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Table 1. Conservation distance $z_{c}$ under different ellipticity $α$ and coherence length $δ$
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Table 1. Conservation distance $z_{c}$ under different ellipticity $α$ and coherence length $δ$
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 2. Conservation distance $z_{c}$ under different turbulence parameters
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Table 2. Conservation distance $z_{c}$ under different turbulence parameters
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 3. Conservation distance $z_{c}$ at different reference points $ρ_{1}$ ( $α = 5$ )
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Table 3. Conservation distance $z_{c}$ at different reference points $ρ_{1}$ ( $α = 5$ )
(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

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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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Paper Information

Category: Atmospheric Optics and Oceanic Optics

Received: Sep. 14, 2020

Accepted: Sep. 20, 2020

Published Online: May. 12, 2021

The Author Email: Zheng Guo (18061732317@163.com)

DOI:10.3788/LOP202158.0901001

Topics

laser devices and laser physics

Lasers and Laser Optics

Laser physics

laser manufacturing

Instrumentation, Measurement and Metrology

Table 1. Conservation distance zc under different ellipticity α and coherence length δ

Table 1. Conservation distance zc under different ellipticity α and coherence length δ

Table 2. Conservation distance zc under different turbulence parameters

Table 2. Conservation distance zc under different turbulence parameters

Table 3. Conservation distance zc at different reference points ρ1 (α=5)

Table 3. Conservation distance zc at different reference points ρ1 (α=5)

Table 1. Conservation distance $z_{c}$ under different ellipticity $α$ and coherence length $δ$

Table 1. Conservation distance $z_{c}$ under different ellipticity $α$ and coherence length $δ$

Table 2. Conservation distance $z_{c}$ under different turbulence parameters

Table 2. Conservation distance $z_{c}$ under different turbulence parameters

Table 3. Conservation distance $z_{c}$ at different reference points $ρ_{1}$ ( $α = 5$ )

Table 3. Conservation distance $z_{c}$ at different reference points $ρ_{1}$ ( $α = 5$ )