Abstract
Light beams carrying orbital angular momentum (OAM) possess an unbounded set of orthogonal modes, offering significant potential for optical communication and security. However, exploiting OAM beams in space has been hindered by the lack of a versatile design toolkit. Here, we demonstrate a strategy to tailor OAM across multiple transverse planes by shaping optical caustics leveraging on catastrophe theory. With 3D-printed metasurfaces fabricated using two-photon polymerization lithography, we construct these caustics to steer Poynting vectors and achieve arbitrary shapes of OAM beams. Interestingly, we further realize “hidden” OAM along the propagation trajectory, where the intensity of the beam is spread out thus avoiding detection. By exploiting this intrinsic nature of OAM, we demonstrate the detection of encoded information in optical encryption. Our approach provides a unique framework for dynamic control of OAM in space, with promising applications in optical trapping and sensing, high-capacity data storage, and optical information security.
Similar content being viewed by others
Funding
J.K.W.Y. discloses support for the research and publication of this work from the National Research Foundation of Singapore [NRF-CRP30-2023-0003 and NRF-NRFI06-2020-0005]. C.-W.Q. discloses support for the research of this work from the Ministry of Education of Singapore [A-8002152-00-00 and A-8002458-00-00], and the National Research Foundation of Singapore [NRF-CRP26-2021-0004 and NRF-CRP30-2023-0003]. H.W. discloses support for the research of this work from the National Natural Science Foundation of China [606HWRC2025117001], the Fundamental Research Funds for the Central Universities [501RCQD2025117002], and the Hangzhou International Innovation Institute of Beihang University [015733207-000001]. X.Y.Z., J.Y.E.C., C.T.C., Z.C.L., A.F., and H.T.W. declare no relevant funding.
Author information
Authors and Affiliations
Corresponding authors
Ethics declarations
Competing interests
The authors declare no competing interests.
Additional information
Publisher’s note Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Rights and permissions
Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, 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 changes were made. 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/4.0/.
About this article
Cite this article
Zhou, X., Chan, J.Y.E., Chang, CT. et al. Encoding orbital angular momentum of light in space with optical catastrophes. Nat Commun (2026). https://doi.org/10.1038/s41467-026-73443-z
Received:
Accepted:
Published:
DOI: https://doi.org/10.1038/s41467-026-73443-z


