Vectorial lasing with designable topological charges based on Möbius-like correspondence in quasi-BICs

Xinhao Wang; Zhaochen Wu; Jiajun Wang; Lei Shi; Jian Zi

doi:10.1038/s41377-026-02269-7

Your Location：

Home >

Browse articles >

Vectorial lasing with designable topological charges based on Möbius-like correspondence in quasi-BICs

Original Articles

- Vectorial lasing with designable topological charges based on Möbius-like correspondence in quasi-BICs
- Light: Science & Applications Vol. 15, Issue 6, Pages: 2046-2055(2026)
- Affiliations：
  
  1.State Key Laboratory of Surface Physics, Key Laboratory of Micro- and Nano-Photonic Structures (Ministry of Education) and Department of Physics, Fudan University, 200433 Shanghai, China
  2.Shanghai Research Center for Quantum Sciences, 201315 Shanghai, China
  3.Shanghai Key Laboratory of Metasurfaces for Light Manipulation, Fudan University, 200433 Shanghai, China
  4.Institute for Nanoelectronic Devices and Quantum Computing, Fudan University, 200438 Shanghai, China
  5.Collaborative Innovation Center of Advanced Microstructures, Nanjing University, 210093 Nanjing, China
- Author bio：
  
  Jiajun Wang (jiajunwang@fudan.edu.cn)
  Lei Shi (lshi@fudan.edu.cn)
  Jian Zi (jzi@fudan.edu.cn)
- Funds：
- DOI：10.1038/s41377-026-02269-7
  CLC：
- Received：22 September 2025，
  
  Revised：2026-02-10，
  
  Accepted：03 March 2026，
  
  Online First：30 March 2026，
  
  Published：30 June 2026
- Accepted：
Scan QR Code
Wang, X. H. et al. Vectorial lasing with designable topological charges based on Möbius-like correspondence in quasi-BICs. Light: Science & Applications, 15, 2046-2055 (2026).
DOI：

Wang, X. H. et al. Vectorial lasing with designable topological charges based on Möbius-like correspondence in quasi-BICs. Light: Science & Applications, 15, 2046-2055 (2026). DOI： 10.1038/s41377-026-02269-7.

摘要

Abstract

The ability to control topological properties of laser emission represents a fundamental advancement in photonic technology. Achieving topological lasing in a single compact photonic structure is crucial for device integration and miniaturization

but faces significant challenges for designing both the high-quality (high-Q) mode and radiative topological configurations. Recently

bound states in the continuum (BICs)

as extraordinary states possessing both ultrahigh Q factors and polarization topological charges

have been demonstrated as a promising platform for compact topological lasing. However

as the cornerstone of BIC lasing’s non-trivial properties

topological charges of BICs are protected by real-space structural symmetries

which simultaneously impose fundamental limitations that hinder the designability of lasing topological charges. Here

we propose and experimentally demonstrate a compound cavity design method based on the Möbius-like correspondence in quasi-BICs (q-BICs)

by which compact vectorial lasing with designable topological charges can be realized. We reveal the hidden connection between real-space symmetry breaking and eigen-polarizations of q-BICs from the triangular photonic crystal (PhC) slab

manifesting as a Möbius-like correspondence. By splicing PhC slab sectors utilizing this Möbius-like correspondence

we establish a one-to-one correspondence between compound cavities and their lasing topological charges. Vectorial lasing with designable topological charges from −5 to +5 was experimentally realized. Our work establishes a novel BIC-based platform that enables designable topological lasing

providing a promising route toward compact topological sources.

关键词

Keywords

references

Zhan, Q. W. Cylindrical vector beams: from mathematical concepts to applications. Adv. Opt. Photonics 1 , 1–57 (2009)..

Chen, J., Wan, C. H. & Zhan, Q. W. Vectorial optical fields: recent advances and future prospects. Sci. Bull. 63 , 54–74 (2018)..

Shen, Y. J. et al. Optical vortices 30 years on: OAM manipulation from topological charge to multiple singularities. Light Sci. Appl. 8 , 90 (2019)..

Forbes, A. Structured light from lasers. Laser Photonics Rev. 13 , 1900140 (2019)..

Ni, J. C. et al. Multidimensional phase singularities in nanophotonics. Science 374 , eabj0039 (2021)..

Forbes, A., de Oliveira, M. & Dennis, M. R. Structured light. Nat. Photonics 15 , 253–262 (2021)..

Forbes, A., Mkhumbuza, L. & Feng, L. Orbital angular momentum lasers. Nat. Rev. Phys. 6 , 352–364 (2024)..

Fang, L. et al. Vectorial Doppler metrology. Nat. Commun. 12 , 4186 (2021)..

Dorn, R., Quabis, S. & Leuchs, G. Sharper focus for a radially polarized light beam. Phys. Rev. Lett. 91 , 233901 (2003)..

Liu, M. et al. Super-resolution optical microscopy using cylindrical vector beams. Nanophotonics 11 , 3395–3420 (2022)..

Parigi, V. et al. Storage and retrieval of vector beams of light in a multiple-degree-of-freedom quantum memory. Nat. Commun. 6 , 7706 (2015)..

Ndagano, B. et al. Characterizing quantum channels with non-separable states of classical light. Nat. Phys. 13 , 397–402 (2017)..

Sit, A. et al. High-dimensional intracity quantum cryptography with structured photons. Optica 4 , 1006–1010 (2017)..

Sederberg, S. et al. Vectorized optoelectronic control and metrology in a semiconductor. Nat. Photonics 14 , 680–685 (2020)..

El Ketara, M., Kobayashi, H. & Brasselet, E. Sensitive vectorial optomechanical footprint of light in soft condensed matter. Nat. Photonics 15 , 121–124 (2021)..

Gao, X. M. et al. Dirac-vortex topological cavities. Nat. Nanotechnol. 15 , 1012–1018 (2020)..

Yang, L. C. et al. Topological-cavity surface-emitting laser. Nat. Photonics 16 , 279–283 (2022)..

Han, S. et al. Photonic Majorana quantum cascade laser with polarization-winding emission. Nat. Commun. 14 , 707 (2023)..

Ma, J. W. et al. Room-temperature continuous-wave topological Dirac-vortex microcavity lasers on silicon. Light Sci. Appl. 12 , 255 (2023)..

Hwang, M. S. et al. Vortex nanolaser based on a photonic disclination cavity. Nat. Photonics 18 , 286–293 (2024)..

Shin, C. et al. Photonic disclination nanolaser with a high topological charge of 2. ACS Photonics 12 , 2530–2537 (2025)..

Sroor, H. et al. High-purity orbital angular momentum states from a visible metasurface laser. Nat. Photonics 14 , 498–503 (2020)..

Piccardo, M. et al. Vortex laser arrays with topological charge control and self-healing of defects. Nat. Photonics 16 , 359–365 (2022)..

Ni, P. N. et al. Spin-decoupling of vertical cavity surface-emitting lasers with complete phase modulation using on-chip integrated Jones matrix metasurfaces. Nat. Commun. 13 , 7795 (2022)..

Yang, Z. Q. Spin-momentum-locked edge mode for topological vortex lasing. Phys. Rev. Lett. 125 , 013903 (2020)..

Miao, P. et al. Orbital angular momentum microlaser. Science 353 , 464–467 (2016)..

Zhang, Z. F. et al. Tunable topological charge vortex microlaser. Science 368 , 760–763 (2020)..

Chen, Y. et al. Observation of chiral emission enabled by collective guided resonances. Nat. Nanotechnol. 20 , 1205–1212 (2025)..

Hsu, C. W. et al. Bound states in the continuum. Nat. Rev. Mater. 1 , 16048 (2016)..

Kang, M. et al. Applications of bound states in the continuum in photonics. Nat. Rev. Phys. 5 , 659–678 (2023)..

Huang, L. J. et al . Resonant leaky modes in all-dielectric metasystems: fundamentals and applications. Phys. Rep. 1008 , 1–66 (2023)..

Wang, J. J. et al. Optical bound states in the continuum in periodic structures: mechanisms, effects, and applications. Photonics Insights 3 , R01 (2024)..

Zhen, B. et al. Topological nature of optical bound states in the continuum. Phys. Rev. Lett. 113 , 257401 (2014)..

Zhang, Y. W. et al. Observation of polarization vortices in momentum space. Phys. Rev. Lett. 120 , 186103 (2018)..

Doeleman, H. M. et al. Experimental observation of a polarization vortex at an optical bound state in the continuum. Nat. Photonics 12 , 397–401 (2018)..

Wang, B. et al. Generating optical vortex beams by momentum-space polarization vortices centred at bound states in the continuum. Nat. Photonics 14 , 623–628 (2020)..

Rao, L. X. et al. Meron spin textures in momentum space spawning from bound states in the continuum. Phys. Rev. Lett. 135 , 026203 (2025)..

Li, T. Y. et al. High-efficiency nonlocal reflection-type vortex beam generation based on bound states in the continuum. Natl. Sci. Rev. 10 , nwac234 (2023)..

Tang, W. J. et al. Realizing high-efficiency third harmonic generation via accidental bound states in the continuum. Opt. Lett. 49 , 1169–1172 (2024)..

Xiao, S. Y. et al. Polarization-controlled dynamically switchable high-harmonic generation from all-dielectric metasurfaces governed by dual bound states in the continuum. Phys. Rev. B 105 , 195440 (2022)..

Liu, Z. J. et al. High- Q quasibound states in the continuum for nonlinear metasurfaces. Phys. Rev. Lett. 123 , 253901 (2019)..

Koshelev, K. et al. Subwavelength dielectric resonators for nonlinear nanophotonics. Science 367 , 288–292 (2020)..

Tonkaev, P. et al. Unconventional high-harmonic generation in resonant membrane metasurfaces. Nat. Commun. 16 , 11571 (2025)..

Ardizzone, V. et al. Polariton Bose–Einstein condensate from a bound state in the continuum. Nature 605 , 447–452 (2022)..

Gianfrate, A. et al. Reconfigurable quantum fluid molecules of bound states in the continuum. Nat. Phys. 20 , 61–67 (2024)..

Kodigala, A. et al. Lasing action from photonic bound states in continuum. Nature 541 , 196–199 (2017)..

Hwang, M. S. et al. Ultralow-threshold laser using super-bound states in the continuum. Nat. Commun. 12 , 4135 (2021)..

Huang, C. et al. Ultrafast control of vortex microlasers. Science 367 , 1018–1021 (2020)..

Sang, Y. G. et al. Topological polarization singular lasing with highly efficient radiation channel. Nat. Commun. 13 , 6485 (2022)..

Chen, Y. et al. Compact spin-valley-locked perovskite emission. Nat. Mater. 22 , 1065–1070 (2023)..

Wang, J. J. et al. Inherent spin-orbit locking in topologica l lasing via bound state in the continuum. Phys. Rev. Lett. 134 , 133802 (2025)..

Cui, J. Y. et al. Ultracompact multibound-state-assisted flat-band lasers. Nat. Photonics 19 , 643–649 (2025)..

Koshelev, K. et al. Asymmetric metasurfaces with high- Q resonances governed by bound states in the continuum. Phys. Rev. Lett. 121 , 193903 (2018)..

Yoda, T. & Notomi, M. Generation and annihilation of topologically protected bound states in the continuum and circularly polarized states by symmetry breaking. Phys. Rev. Lett. 125 , 053902 (2020)..

Wang, X. H. et al. Realizing tunable evolution of bound states in the continuum and circularly polarized points by symmetry breaking. ACS Photonics 10 , 2316–2322 (2023)..

Views

Downloads

CSCD

Alert me when the article has been cited

Submit

Tools

Publicity Resources

Power-efficient ultra-broadband soliton microcombs in resonantly-coupled microresonators

In-situ formation of oriented perovskite nanosheets with tailored optical dipoles enabling >30% EQE in pure-red LEDs

Gapless tunable intense terahertz pulse generation in strained diamond

Full-space inverse-designed meta-optics for complex vector field shaping of intracavity landscapes

High-dimensional multiplexing through vortex electromagnetic wave manipulation by space-time-coding metasurfaces

Related Author

No data

Related Institution

No data

⁰