Free-space propagation of autofocusing Airy vortex beams with controllable intensity gradients

Xu Yan; Lixin Guo; Mingjian Cheng; Shuirong Chai

doi:doi:10.3788/COL201917.040101

Chinese Optics Letters, 2019, 17 (4): 040101, Published Online: Apr. 3, 2019

Free-space propagation of autofocusing Airy vortex beams with controllable intensity gradients Download： 1302次

Xu Yan ^1,2,3Lixin Guo ^1,2,3,*Mingjian Cheng ²Shuirong Chai ²

Author Affiliations

¹ State Key Laboratory of Integrated Service Networks, Xidian University, Xi’an 710071, China

² School of Physics and Optoelectronic Engineering, Xidian University, Xi’an 710071, China

³ School of Electronic Engineering, Xidian University, Xi’an 710071, China

Figures & Tables

Fig. 1. (a) Intensity and phase distributions of AAVBs for different values of $m = 0$ , 1.6, 3, and 5 at the incident plane. (b) Normalized radial intensity plots of (a) in black, red, blue, and purple colors.

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Fig. 2. (a) Free propagating AAVBs with $m = 0$ , 1.6, 3, and 5. The side-views of AAVB propagation are given in the first column, and the focal planes are marked by the dashed line. The intensity and phase distributions of AAVBs at the focal plane are given in the second and third columns, respectively. (b) Radial intensity plots of AAVBs at the focal plane in colors. The inset shows normalized intensities, amplifying variations in the radii of the primary rings.

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Fig. 3. Multiple random phase screen model.

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Fig. 4. (a)–(d) Intensity distributions of AAVBs with $l = 3$ for different values of $m = 0$ , 1.6, 3, and 5 after propagation through a turbulent optical channel. (e)–(h) Phase cross-sections of AAVBs corresponding to (a)–(d), respectively. Insets are magnified representations of vortex splitting corresponding to the regions marked by the dashed squares, where phase and intensity patterns of each charge-one vortex are indicated by the overlaid white circles and white dotted circles, respectively.

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Fig. 5. Plots of vortex splitting ratio (V) as a function of turbulence strength ( $D / r_{0}$ ) for (a) $l = 3$ and (b) $l = 5$ .

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Table1. Values of Parameters Used in the Simulations

Parameter	Value
Wavelength ( $λ$ )	1550 nm
Transverse scales ( $ω$ )	0.012 m
Truncation factor ( $a$ )	0.1
Grid numbers ( $N \times N$ )	$1024 \times 1024$
Sample grid length	$5 \times 10^{- 4} m$
Number of phase screen	50
Turbulence strength ( $D / r_{0}$ )	Varies from 0.96 to 6.6
Inner scale size	0.001 m
Outer scale size	10 m for $D / r_{0} \leq 1.67$ and 1 m for $D / r_{0} > 1.67$

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Xu Yan, Lixin Guo, Mingjian Cheng, Shuirong Chai. Free-space propagation of autofocusing Airy vortex beams with controllable intensity gradients[J]. Chinese Optics Letters, 2019, 17(4): 040101.

Free-space propagation of autofocusing Airy vortex beams with controllable intensity gradients Download： 1302次

Fig. 1. (a) Intensity and phase distributions of AAVBs for different values of $m = 0$ , 1.6, 3, and 5 at the incident plane. (b) Normalized radial intensity plots of (a) in black, red, blue, and purple colors.

Fig. 3. Multiple random phase screen model.

Fig. 5. Plots of vortex splitting ratio (V) as a function of turbulence strength ( $D / r_{0}$ ) for (a) $l = 3$ and (b) $l = 5$ .

Table1. Values of Parameters Used in the Simulations

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Free-space propagation of autofocusing Airy vortex beams with controllable intensity gradients Download： 1302次

Fig. 1. (a) Intensity and phase distributions of AAVBs for different values of m=0, 1.6, 3, and 5 at the incident plane. (b) Normalized radial intensity plots of (a) in black, red, blue, and purple colors.

Fig. 3. Multiple random phase screen model.

Fig. 5. Plots of vortex splitting ratio (V) as a function of turbulence strength (D/r0) for (a) l=3 and (b) l=5.

Table1. Values of Parameters Used in the Simulations

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Fig. 1. (a) Intensity and phase distributions of AAVBs for different values of $m = 0$ , 1.6, 3, and 5 at the incident plane. (b) Normalized radial intensity plots of (a) in black, red, blue, and purple colors.

Fig. 5. Plots of vortex splitting ratio (V) as a function of turbulence strength ( $D / r_{0}$ ) for (a) $l = 3$ and (b) $l = 5$ .