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Reconstruction of orbital angular momentum eigenstates of light
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  • Published: 05 May 2026

Reconstruction of orbital angular momentum eigenstates of light

  • Lang Li  ORCID: orcid.org/0009-0003-4497-25811,2,3,
  • Shiyun Zhou  ORCID: orcid.org/0000-0002-5795-15661,2,3,
  • Jinyu Yang1,2,3,
  • Shurui Zhang1,2,3,
  • Tonglu Wang4,
  • Chunqing Gao1,3 &
  • …
  • Shiyao Fu  ORCID: orcid.org/0000-0002-1450-36401,2,3,5 

Nature Communications (2026) Cite this article

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We are providing an unedited version of this manuscript to give early access to its findings. Before final publication, the manuscript will undergo further editing. Please note there may be errors present which affect the content, and all legal disclaimers apply.

Subjects

  • Optical physics
  • Optical techniques

Abstract

Vortex beams, carrying orbital angular momentum (OAM), have found widespread applications in modern optics. However, they are highly susceptible to obstruction during propagation, degrading their reliability in practical scenarios. Although self-healing beams have been desired to address this challenge, their performance is limited by finite diffraction-free zones. Here we show an active reconstruction scheme, vortex reconstructor, combining bidirectional coordinate transformation with spatial filtering on the sorted plane to suppress the broadened profile and recover the original helical wavefront. The performance of the reconstructor is theoretically analyzed, demonstrating 79.6% azimuthal occlusion tolerance. Based on the above, the reconstruction elements are fabricated and the reconstructor is implemented in a dual-directional optical setup. An average mode fidelity of 94.865% is achieved in reconstructing a vortex under 52.316% of the beam area obstructed by complex objects. This approach enables reconstruction independent with diffraction-free zones, advancing OAM applications in occlusion scenarios.

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Acknowledgements

The authors acknowledge supports from the National Key Research and Development Program of China (2022YFB3607700), National Natural Science Foundation of China (62550001, 62350011, 62375014), Aerospace Innovative Application Research Program (718E19BA), Special Fund for Basic Scientific Research of Central Universities of China (RCPT-6120190002, 2024CX11002), and Beijing Natural Science Foundation (1232031).

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Authors and Affiliations

  1. School of Optics and Photonics, Beijing Institute of Technology, Beijing, China

    Lang Li, Shiyun Zhou, Jinyu Yang, Shurui Zhang, Chunqing Gao & Shiyao Fu

  2. Key Laboratory of Photoelectronic Imaging Technology and System, Ministry of Education of the People’s Republic of China, Beijing, China

    Lang Li, Shiyun Zhou, Jinyu Yang, Shurui Zhang & Shiyao Fu

  3. Key Laboratory of Information Photonics Technology, Ministry of Industry and Information Technology of the People’s Republic of China, Beijing, China

    Lang Li, Shiyun Zhou, Jinyu Yang, Shurui Zhang, Chunqing Gao & Shiyao Fu

  4. Beijing National Research Center for Information Science and Technology, School of Integrated Circuits, Tsinghua University, Beijing, China

    Tonglu Wang

  5. National Key Laboratory on Near-surface Detection, Beijing, China

    Shiyao Fu

Authors
  1. Lang Li
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  2. Shiyun Zhou
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  3. Jinyu Yang
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  4. Shurui Zhang
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  5. Tonglu Wang
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  6. Chunqing Gao
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  7. Shiyao Fu
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Corresponding author

Correspondence to Shiyao Fu.

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Open Access This article is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License, which permits any non-commercial use, sharing, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if you modified the licensed material. You do not have permission under this licence to share adapted material derived from this article or parts of it. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by-nc-nd/4.0/.

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Cite this article

Li, L., Zhou, S., Yang, J. et al. Reconstruction of orbital angular momentum eigenstates of light. Nat Commun (2026). https://doi.org/10.1038/s41467-026-72820-y

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  • Received: 04 June 2025

  • Accepted: 17 April 2026

  • Published: 05 May 2026

  • DOI: https://doi.org/10.1038/s41467-026-72820-y

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