Abstract
Optical multiplexing1,2,3,4,5,6,7,8,9,10,11 by creating orthogonal data channels has offered an unparalleled approach for information encoding with substantially improved density and security. Despite the fact that the orbital angular momentum (OAM) of light involves physical orthogonal division, the lack of explicit OAM sensitivity at the nanoscale prevents this feature from realizing nanophotonic information encoding. Here we demonstrate the viability of nanoscale information multiplexing utilizing the OAM of light. This is achieved by discovering OAM-dependent polarization ellipses in non-paraxial focusing conditions and hence synthetic helical dichroism resulting from the distinct absorption of achiral nanoparticles to the different order of OAM beams. Leveraging this mechanism, the application of subwavelength-scale focused OAM beams to self-assemble plasmonic nanoaggregates further enables six-dimensional optical information multiplexing, in conjunction with wavelength, polarization and three spatial dimensions. Our results suggest the possibility of multiplexing OAM division as an unbounded degree of freedom for nanophotonic information encoding, security imprinting and beyond.
This is a preview of subscription content, access via your institution
Access options
Access Nature and 54 other Nature Portfolio journals
Get Nature+, our best-value online-access subscription
$29.99 / 30 days
cancel any time
Subscribe to this journal
Receive 12 print issues and online access
$209.00 per year
only $17.42 per issue
Buy this article
- Purchase on Springer Link
- Instant access to full article PDF
Prices may be subject to local taxes which are calculated during checkout
Similar content being viewed by others
Data availability
The data that support the plots in this paper and other findings of this study are available from the corresponding authors upon reasonable request.
References
Cumpston, B. H. et al. Two-photon polymerization initiators for three-dimensional optical data storage and microfabrication. Nature 398, 51–54 (1999).
Richardson, D. J., Fini, J. M. & Nelson, L. E. Space-division multiplexing in optical fibres. Nat. Photon. 7, 354–362 (2013).
Zijlstra, P., Chon, J. W. M. & Gu, M. Five-dimensional optical recording mediated by surface plasmons in gold nanorods. Nature 459, 410–413 (2009).
Li, X., Lan, T. H., Tien, C. H. & Gu, M. Three-dimensional orientation-unlimited polarization encryption by a single optically configured vectorial beam. Nat. Commun. 3, 998 (2012).
Xian, M. et al. Segmented cylindrical vector beams for massively-encoded optical data storage. Sci. Bull. 65, 2072–2079 (2020).
Karl, N. J., Mckinney, R. W., Monnai, Y., Mendis, R. & Mittleman, D. M. Frequency-division multiplexing in the terahertz range using a leaky-wave antenna. Nat. Photon. 9, 717–720 (2015).
Li, X. et al. Athermally photoreduced graphene oxides for three-dimensional holographic images. Nat. Commun. 6, 6984 (2015).
Yun, H., Lee, S. Y., Hong, K., Yeom, J. & Lee, B. Plasmonic cavity-apertures as dynamic pixels for the simultaneous control of colour and intensity. Nat. Commun. 6, 7133 (2015).
Dai, Q. et al. Encoding random hot spots of a volume gold nanorod assembly for ultralow energy memory. Adv. Mater. 29, 1701918 (2017).
Lu, Y. et al. Tunable lifetime multiplexing using luminescent nanocrystals. Nat. Photon. 8, 32–36 (2014).
Fan, Y. et al. Lifetime-engineered NIR-II nanoparticles unlock multiplexed in vivo imaging. Nat. Nanotech. 13, 941–946 (2018).
Tan, S. et al. Plasmonic coupling at a metal/semiconductor interface. Nat. Photon. 11, 806–812 (2017).
Darwin, C. G. Notes on the theory of radiation. Proc. R. Soc. Lond. A 136, 36–52 (1932).
Bazhenov, V. Y., Vasnetsov, M. V. & Soskin, M. S. Laser beams with screw dislocations in their wavefonts. JETP Lett. 52, 429–431 (1990).
Allen, L., Beijersbergen, M. W., Spreeuw, R. J. C. & Woerdman, J. P. Orbital angular momentum of light and the transformation of Laguerre-Gaussian laser modes. Phys. Rev. A 45, 8185–8189 (1992).
He, H., Friese, M. E. J., Heckenberg, N. R. & Rubinsztein-Dunlop, H. Direct observation of transfer of angular momentum to absorptive particles from a laser beam with a phase singularity. Phys. Rev. Lett. 75, 826–829 (1995).
Hell, S. W. & Wichmann, J. Breaking the diffraction resolution limit by stimulated emission: stimulated-emission-depletion fluorescence microscopy. Opt. Lett. 19, 780–782 (1994).
Naidoo, D. et al. Controlled generation of higher-order Poincaré sphere beams from a laser. Nat. Photon. 10, 327–332 (2016).
Wang, J. et al. Terabit free-space data transmission employing orbital angular momentum multiplexing. Nat. Photon. 6, 488–496 (2012).
Bozinovic, N. et al. Terabit-scale orbital angular momentum mode division multiplexing in fibers. Science 340, 1545–1548 (2013).
Yan, Y. et al. High-capacity millimetre-wave communications with orbital angular momentum multiplexing. Nat. Commun. 5, 4876 (2014).
Fang, X., Ren, H. & Gu, M. Orbital angular momentum holography for high-security encryption. Nat. Photon. 14, 102–108 (2020).
Alicia, Sit et al. High-dimensional intracity quantum cryptography with structured photons. Optica 4, 1006–1010 (2017).
Bliokh, K. Y., Rodríguez-Fortuño, F. J., Nori, F. & Zayats, A. V. Spin–orbit interactions of light. Nat. Photon. 9, 796–808 (2015).
Wong, G. K. L. et al. Excitation of orbital angular momentum resonances in helically twisted photonic crystal fiber. Science 337, 446–449 (2012).
Maguid, E. et al. Disorder-induced optical transition from spin Hall to random Rashba effect. Science 358, 1411–1415 (2017).
Cai, X. et al. Integrated compact optical vortex beam emitters. Science 338, 363–366 (2012).
Miao, P. et al. Orbital angular momentum microlaser. Science 353, 464–467 (2016).
Ren, H., Li, X., Zhang, Q. & Gu, M. On-chip noninterference angular momentum multiplexing of broadband light. Science 352, 805–809 (2016).
Wang, S. et al. Angular momentum-dependent transmission of circularly polarized vortex beams through a plasmonic coaxial nanoring. IEEE Photon. J. 10, 1–9 (2018).
Gouy, L. G. Sur une propriété nouvelle des ondes lumineuses. C. R. Acad. Sci. Paris 110, 1251–1253 (1890).
Visser, T. D. & Wolf, E. The origin of the Gouy phase anomaly and its generalization to astigmatic wavefields. Opt. Commun. 283, 3371–3375 (2010).
Brullot, W., Vanbel, M. K., Swusten, T. & Verbiest, T. Resolving enantiomers using the optical angular momentum of twisted light. Sci. Adv. 2, e1501349 (2016).
Kerber, R. M., Fitzgerald, J. M. & Oh, S. S. Orbital angular momentum dichroism in nanoantennas. Commun. Phys. 1, 87 (2018).
Li, J. X. et al. Manipulating light–matter interaction in a gold nanorod assembly by plasmonic coupling. Laser Photonics Rev. 10, 826–834 (2016).
Yuan, L., Lin, Q., Xiao, M. & Fan, S. Synnthetic dimension in photonics. Optica 5, 1396–1405 (2018).
Gu, M. Advanced Optical Imaging Theory (Springer, 2000).
Evlyukhin, A. B., Fischer, T., Reinhardt, C. & Chichkov, B. N. Optical theorem and multipole scattering of light by arbitrarily shaped nanoparticles. Phys. Rev. B 94, 205434 (2016).
Acknowledgements
X.L. would like to thank the National Key R&D Program of China (2018YFB1107200). X.L. also acknowledges financial support from the National Nature and Science Foundation of China (grant no. 61522504) and the Guangdong Provincial Innovation and Entrepreneurship Project (grant no. 2016ZT06D081). Y.X. acknowledges financial support from the National Nature and Science Foundation of China (grant no. 91750110), the Guangdong Provincial Innovation and Entrepreneurship Project (2019ZT08X340), the Research and Development Plan in Key Areas of Guangdong Province (2018B010114002) and the Pearl River Nova Program of Guangzhou (no. 201806010040). C.-W.Q. acknowledges support from the National Research Foundation, Prime Minister’s Office, Singapore, under its Competitive Research Programme (CRP award NRF CRP22-2019-0006). C.-W.Q. is also supported by grant no. R-261-518-004-720 from Advanced Research and Technology Innovation Centre (ARTIC). M.G. acknowledges support from the Zhangjiang National Innovation Demonstration Zone (ZJ2019-ZD-005).
Author information
Authors and Affiliations
Contributions
Y. X., X.L. and M.G. conceived the idea. Y.X. and X.O. performed the theoretical study. X.O. conducted the experiments with the help of M.X., Z.F, L.Z, Y.C. and X.L. Y.X. and X.L. analysed the data. Y.X. and X.L. wrote the manuscript with input from all the authors. X.L. and M.G. supervised this project.
Corresponding authors
Ethics declarations
Competing interests
The authors declare no competing interests.
Additional information
Peer review information Nature Photonics thanks Ebrahim Karimi and the other, anonymous, reviewer(s) for their contribution to the peer review of this work.
Publisher’s note Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Supplementary information
Supplementary Information
Supplementary Notes 1–4 and Figs. 1–15.
Rights and permissions
About this article
Cite this article
Ouyang, X., Xu, Y., Xian, M. et al. Synthetic helical dichroism for six-dimensional optical orbital angular momentum multiplexing. Nat. Photon. 15, 901–907 (2021). https://doi.org/10.1038/s41566-021-00880-1
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1038/s41566-021-00880-1
This article is cited by
-
Multiplexed manipulation of orbital angular momentum and wavelength in metasurfaces based on arbitrary complex-amplitude control
Light: Science & Applications (2024)
-
A 3D nanoscale optical disk memory with petabit capacity
Nature (2024)
-
Non-orthogonal optical multiplexing empowered by deep learning
Nature Communications (2024)
-
Orbital angular momentum-mediated machine learning for high-accuracy mode-feature encoding
Light: Science & Applications (2024)
-
Spatial diversity-based FSO links under adverse weather conditions: performance analysis
Optical and Quantum Electronics (2024)