Autofocusing Characteristics of Circular Butterfly Airy Vortex Beam

Senhao Zhao; Chenwei Tu; Zhengchen Lu; Yangbin Ma; Xinguang Wang; Le Wang

doi:10.3788/AOS250742

Acta Optica Sinica, Volume. 45, Issue 11, 1126001(2025)

Autofocusing Characteristics of Circular Butterfly Airy Vortex Beam

Senhao Zhao¹, Chenwei Tu¹, Zhengchen Lu¹, Yangbin Ma², Xinguang Wang^2,3,4、*, and Le Wang^1,3

¹School of Communications and Information Engineering, Nanjing University of Posts and Telecommunications, Nanjing 210023, Jiangsu , China

²College of Science, Nanjing University of Posts and Telecommunications, Nanjing 210023, Jiangsu , China

³Jiangsu Engineering Research Center of Communication and Network Technology, Nanjing 210023, Jiangsu , China

⁴National Laboratory of Solid State Microstructures, Nanjing University, Nanjing 210093, Jiangsu , China

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Figures & Tables(7)

Fig. 1. Transverse intensity distributions of CBAB at different propagation distances in free space. (a1)‒(a3) Transverse intensity distributions and phase distributions of beam; (b) transverse intensity distributions of beam at $z_{1} = 0$ , $z_{2} = 2.27 z_{R}$ , $z_{3} = 4.54 z_{R}$ , $z_{4} = 6.81 z_{R}$ , $z_{5} = 8 z_{R}$

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Fig. 2. Propagation of CBAVB in free space. (a) Longitudinal intensity distribution propagating along z-axis; (b1)‒(b5) transverse intensity distributions at $z_{1} = 0$ 、 $z_{2} = 3.21 z_{R}$ 、 $z_{3} = 4.5 z_{R}$ 、 $z_{4} = 5.32 z_{R}$ 、 $z_{5} = 7.16 z_{R}$ ; (c1)‒(c5) phase distributions at $z_{1} = 0$ 、 $z_{2} = 3.21 z_{R}$ 、 $z_{3} = 4.5 z_{R}$ 、 $z_{4} = 5.32 z_{R}$ 、 $z_{5} = 7.16 z_{R}$

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Fig. 3. Transmission simulation results of CBAVB with different optical vortices introduced. (a1)‒(a2) On-axis vortex, $m = 2$ ; (b1)‒(b2) off-axis vortex, $m = 1$ ; (c1)‒(c2) off-axis vortex, $m = 2$ ; (d1)‒(d2) focusing coefficient $K$ of CBAVB with on-axis vortex and off-axis vortex changes with propagation distance

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Fig. 4. Influence of $r_{0}$ and $w_{0}$ on autofocusing behavior of CBAVB. (a) Changes of $K$ with propagation distance under different $r_{0}$ ; (b) changes of $K$ with propagation distance under different $w_{0}$ ; (c) $K_{m a x}$ under different $r_{0}$ and $w_{0}$ ; (d) $f_{z}$ under different $r_{0}$ and $w_{0}$

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Fig. 5. Transverse Poynting vector of CBAVB at different propagation distances. (a1)‒(a3) On-axis vortex, $z = 3.21 z_{R}$ , $z = 4.50 z_{R}$ , $z = 8 z_{R}$ ; (b1)‒(b3) off-axis vortex, $z = 3.21 z_{R}$ , $z = 4.55 z_{R}$ , $z = 8 z_{R}$

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Fig. 6. Transverse angular momentum density vector of CBAVB at different propagation distances. (a1)‒(a3) On-axis vortex, $z = 3.21 z_{R}$ , $z = 4.50 z_{R}$ , $z = 8 z_{R}$ ; (b1)‒(b3) off-axis vortex, $z = 3.21 z_{R}$ , $z = 4.55 z_{R}$ , $z = 8 z_{R}$

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Fig. 7. Changes of focusing performance coefficient $K$ of autofocusing vortex beam with propagation distance

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Senhao Zhao, Chenwei Tu, Zhengchen Lu, Yangbin Ma, Xinguang Wang, Le Wang. Autofocusing Characteristics of Circular Butterfly Airy Vortex Beam[J]. Acta Optica Sinica, 2025, 45(11): 1126001

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Paper Information

Category: Physical Optics

Received: Mar. 14, 2025

Accepted: Apr. 16, 2025

Published Online: Jun. 24, 2025

The Author Email: Xinguang Wang (xg-cgb@njupt.edu.cn)

DOI:10.3788/AOS250742

CSTR:32393.14.AOS250742

Topics

laser devices and laser physics

Lasers and Laser Optics

Laser physics

laser manufacturing

Instrumentation, Measurement and Metrology