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

Xu Yan; Lixin Guo; Mingjian Cheng; Shuirong Chai

doi:10.3788/COL201917.040101

Journals >Chinese Optics Letters >Volume 17 >Issue 4 >Page 040101 > Article

Chinese Optics Letters
Vol. 17, Issue 4, 040101 (2019)

Free-space propagation of autofocusing Airy vortex beams with controllable intensity gradients | On the Cover

Xu Yan^1、2、3, Lixin Guo^{1、2、3、*}, Mingjian Cheng², and Shuirong Chai²

Author Affiliations

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

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

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

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DOI: 10.3788/COL201917.040101 Cite this Article Set citation alerts

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 Copy Citation Text

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Abstract

Vortex splitting is one of the main causes of instability in orbital angular momentum (OAM) modes transmission. Recent advances in OAM modes free-space propagation have demonstrated that abruptly autofocusing Airy vortex beams (AAVBs) can potentially mitigate the vortex splitting effect. However, different modes of vortex embedding will affect the intensity gradients of the background beams, leading to changes in the propagation characteristics of vortex beams. This study presents the unification of two common methods of coupling autofocusing Airy beams with vortices by introducing a parameter (m), which also controls the intensity gradients and focusing properties of the AAVBs. We demonstrate that vortex splitting can be effectively reduced by selecting an appropriate value of the parameter (m) according to different turbulence conditions. In this manner, the performance of OAM-based free-space optical systems can be improved.

E_{1} = {r \exp [i \cdot sign (l) \cdot θ] - r_{k} \exp [i \cdot sign (l) \cdot θ_{k}]}^{| l |} \times Ai (\frac{r_{0} - r}{ω}) \exp (a \cdot \frac{r_{0} - r}{ω}),

(1)

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E_{1}^{'} = Ai (\frac{r_{0} - r}{ω}) \exp (a \cdot \frac{r_{0} - r}{ω}) r^{| l |} \exp (i l θ) .

(2)

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E_{2} = Ai (\frac{r_{0} - r}{ω}) \exp (a \cdot \frac{r_{0} - r}{ω}) \exp (i l θ) .

(3)

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E_{3} = Ai (\frac{r_{0} - r}{ω}) \exp (a \cdot \frac{r_{0} - r}{ω}) r^{m} \exp (i l θ) .

(4)

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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

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