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自愈合过程中庞加莱-贝塞尔光束C点奇点的演化及偏振覆盖

Evolution of C-point singularities and polarization coverage of Poincaré-Bessel beam in self-healing process.

作者信息

Kumar Subith, Pal Anupam, Shiri Arash, Samanta G K, Gbur Greg

机构信息

Physical Research Laboratory, Ahmedabad, Gujarat, 380009, India.

Indian Institute of Technology Gandhinagar, Ahmedabad, Gujarat, 382424, India.

出版信息

Sci Rep. 2024 Jul 18;14(1):16647. doi: 10.1038/s41598-024-67582-w.

DOI:10.1038/s41598-024-67582-w
PMID:39025910
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC11258310/
Abstract

As a vector version of scalar Bessel beams, Poincaré-Bessel beams (PBBs) have attracted a great deal of attention due to their non-diffracting and self-healing properties as well as the presence of polarization singularities. Previous studies of PBBs have focused on cases that consist of a superposition of Bessel beams in orthogonal circular polarization states; here, we present a theoretical and experimental study of PBBs for which the polarization states are taken to be linear, which we call a linear PBB. Using a mode transformation of a full Poincaré beam constructed from linear polarization states, we observe the linear PBB as providing an in-principle infinite number of covers of the Poincaré sphere in the transverse plane and with an infinite number of C-points with positive and negative topological indices. We also study the dynamics of C-point singularities in a linear PBB in the process of self-healing after being obstructed by an obstacle, providing insight into "Hilbert Hotel" style evolution of singularities in light beams. The present study can be useful for imaging in the presence of depolarizing surroundings, studying turbulent atmospheric channels, and exploring the rich mathematical concepts of transfinite numbers.

摘要

作为标量贝塞尔光束的矢量版本，庞加莱 - 贝塞尔光束（PBBs）因其非衍射和自愈合特性以及极化奇点的存在而备受关注。先前对PBBs的研究集中在由正交圆极化状态下的贝塞尔光束叠加组成的情况；在此，我们对极化状态为线性的PBBs进行了理论和实验研究，我们将其称为线性PBB。通过对由线性极化状态构建的全庞加莱光束进行模式变换，我们观察到线性PBB在横向平面上提供了原则上无限数量的庞加莱球覆盖，并且具有无限数量的具有正负拓扑指数的C点。我们还研究了线性PBB在被障碍物阻挡后自愈合过程中C点奇点的动力学，深入了解了光束中奇点的“希尔伯特酒店”式演化。本研究对于在去极化环境中成像、研究湍流大气通道以及探索超限数丰富的数学概念可能是有用的。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/39e2/11258310/1a277735ba5d/41598_2024_67582_Fig9_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/39e2/11258310/b72768677d1f/41598_2024_67582_Fig1_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/39e2/11258310/837a3d304dc8/41598_2024_67582_Fig2_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/39e2/11258310/600201edd047/41598_2024_67582_Fig3_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/39e2/11258310/d294eb558c57/41598_2024_67582_Fig4_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/39e2/11258310/a0a8a15c9a76/41598_2024_67582_Fig5_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/39e2/11258310/732f5ed468ba/41598_2024_67582_Fig6_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/39e2/11258310/b5c7ffdbb90b/41598_2024_67582_Fig7_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/39e2/11258310/a08c2d9b5462/41598_2024_67582_Fig8_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/39e2/11258310/1a277735ba5d/41598_2024_67582_Fig9_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/39e2/11258310/b72768677d1f/41598_2024_67582_Fig1_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/39e2/11258310/837a3d304dc8/41598_2024_67582_Fig2_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/39e2/11258310/600201edd047/41598_2024_67582_Fig3_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/39e2/11258310/d294eb558c57/41598_2024_67582_Fig4_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/39e2/11258310/a0a8a15c9a76/41598_2024_67582_Fig5_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/39e2/11258310/732f5ed468ba/41598_2024_67582_Fig6_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/39e2/11258310/b5c7ffdbb90b/41598_2024_67582_Fig7_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/39e2/11258310/a08c2d9b5462/41598_2024_67582_Fig8_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/39e2/11258310/1a277735ba5d/41598_2024_67582_Fig9_HTML.jpg

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本文引用的文献

1
Spin Hall Effect in Paraxial Vectorial Light Beams with an Infinite Number of Polarization Singularities.具有无限多个偏振奇点的傍轴矢量光束中的自旋霍尔效应。
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Bessel Beam: Significance and Applications-A Progressive Review.贝塞尔光束：意义与应用——进展综述
Micromachines (Basel). 2020 Nov 11;11(11):997. doi: 10.3390/mi11110997.
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Full Poincaré beam with all the Stokes vortices.带有所有斯托克斯涡的完全庞加莱光束。
Opt Lett. 2019 Nov 15;44(22):5638-5641. doi: 10.1364/OL.44.005638.
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Nonlinear frequency conversion and manipulation of vector beams.非线性频率转换与矢量光束的操控。
Opt Lett. 2018 Dec 15;43(24):5981-5984. doi: 10.1364/OL.43.005981.
5
On-axis intensity modulation-free, segmented, zero-order Bessel beams with tunable ranges.无轴上强度调制的分段零阶贝塞尔光束，具有可调范围。
Opt Lett. 2018 Jul 1;43(13):3029-3032. doi: 10.1364/OL.43.003029.
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Hilbert's Hotel in polarization singularities.极化奇点中的希尔伯特酒店。
Opt Lett. 2017 Dec 15;42(24):5154-5157. doi: 10.1364/OL.42.005154.
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Approach to multiplexing fiber communication with cylindrical vector beams.基于圆柱矢量光束的复用光纤通信方法。
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