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  • Open Access

Dirac bilayer metasurfaces as an inverse Gires-Tournois etalon

Ki Young Lee1,2, Kwang Wook Yoo1, Francesco Monticone3, and Jae Woong Yoon1,2,*

  • *Contact author: yoonjw@hanyang.ac.kr
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Phys. Rev. Research 7, 043067 – Published 17 October, 2025

DOI: https://doi.org/10.1103/3dw5-nvdq

Abstract

Efficient transmissive pure-phase resonances are highly desirable for optical modulation and wave front engineering. Here, we propose a principle to realize a pure-phase resonance in an extremely broad transmission band, as opposed to previous approaches restricted to operating in reflection mode or over a narrow spectral band. We show that a glide-symmetric bilayer metasurface mathematically mimicking a two-dimensional Dirac semimetal induces unidirectional guided-mode excitation and perfect leakage-radiation blazing at the transmission channel. These effects create a peculiar resonant-scattering configuration, similar to the classical reflective Gires-Tournois etalon, but in transmission, providing full 2π phase modulation with constant transmittance near 100%. Most importantly, this effect persists over an extremely wide band, associated with topological effects. Hence, our proposed approach produces a spectrally and parametrically robust pure-phase resonance effect in transmission, which is highly beneficial for practical applications.

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References (53)

  1. A. Melikyan et al., High-speed plasmonic phase modulators, Nat. Photonics 8, 229 (2014).
  2. A. L. Holsteen, A. F. Cihan, and M. L. Brongersma, Temporal color mixing and dynamic beam shaping with silicon metasurfaces, Science 365, 257 (2019).
  3. J. Park et al., All-solid-state spatial light modulator with independent phase and amplitude control for three-dimensional LiDAR applications, Nat. Nanotechnol. 16, 69 (2021).
  4. H. Sasaki et al., Large size three-dimensional video by electronic holography using multiple spatial light modulators, Sci. Rep. 4, 6177 (2014).
  5. B. Schwarz, Mapping the world in 3D, Nat. Photonics 4, 429 (2010).
  6. Y. Horie, A. Arbabi, E. Arbabi, S. M. Kamali, and A. Faraon, High-speed, phase-dominant spatial light modulation with silicon-based active resonant antennas, ACS Photonics 5, 1711 (2017).
  7. A. M. Shaltout, V. M. Shalaev, and M. L. Brongersma, Spatiotemporal light control with active metasurfaces, Science 364, eaat3100 (2019).
  8. H. Sroor et al., High-purity orbital angular momentum states from a visible metasurface laser, Nat. Photonics 14, 498 (2020).
  9. M. Khorasaninejad and F. Metalenses Capasso, Versatile multifunctional photonic components, Science 358, eaam8100 (2017).
  10. F. Gires and P. Tournois, An interferometer useful for pulse compression of a frequency modulated light pulse, CR Acad. Sci. 258, 6112 (1964).
  11. Y. W. Huang et al., Gate-tunable conducting oxide metasurfaces, Nano Lett. 16, 5319 (2016).
  12. J. Y. Kim et al., Full 2π tunable phase modulation using avoided crossing of resonances, Nat. Comm. 13, 2103 (2022).
  13. S. Colburn, A. Zhan, and A. Majumdar, Tunable metasurfaces via subwavelength phase shifters with uniform amplitude, Sci. Rep. 7, 40174 (2017).
  14. Q. Song, M. Odeh, J. Zúñiga-Pérez, B. Kanté, and P. Genevet, Plasmonic topological metasurface by encircling an exceptional point, Science 373, 1133 (2021).
  15. M. Decker et al., High-efficiency dielectric Huygens’ surfaces, Adv. Opt. Mater. 3, 813 (2015).
  16. C. Gigli et al., Fundamental limitations of Huygens’ metasurfaces for optical beam shaping, Laser Photonics Rev. 15, 2000448 (2021).
  17. S. Q. Li et al., Phase-only transmissive spatial light modulator based on tunable dielectric metasurface, Science 364, 1087 (2019).
  18. F. Monticone, N. M. Estakhri, and A. Alu, Full control of nanoscale optical transmission with a composite metascreen, Phys. Rev. Lett. 110, 203903 (2013).
  19. H. M. Doeleman, F. Monticone, W. den Hollander, A. Alù, and A. F. Koenderink, Experimental observation of a polarization vortex at an optical bound state in the continuum, Nat. Photonics 12, 397 (2018).
  20. M. M. Salary and H. Mosallaei, Tunable all-dielectric metasurfaces for phase-only modulation of transmitted light based on quasi-bound states in the continuum, ACS Photonics 7, 1813 (2020).
  21. X. Yin, J. Jin, M. Soljačić, C. Peng, and B. Zhen, Observation of topologically enabled unidirectional guided resonances, Nature (London) 580, 467 (2020).
  22. H. Zhou et al., Perfect single-sided radiation and absorption without mirrors, Optica 3, 1079 (2016).
  23. Z. Zhang et al., Observation of intensity flattened phase shifting enabled by unidirectional guided resonance, Nanophotonics 10, 4467 (2021).
  24. K. Y. Lee et al., Synthetic topological nodal phase in bilayer resonant gratings, Phys. Rev. Lett. 128, 053002 (2022).
  25. M. F. Lapa, G. Y. Cho, and T. L. Hughes, Bosonic analog of a topological Dirac semimetal: Effective theory, neighboring phases, and wire construction, Phys. Rev. B 94, 245110 (2016).
  26. S. Fan, W. Suh, and J. D. Joannopoulos, Temporal coupled-mode theory for the Fano resonance in optical resonators, J. Opt. Soc. Am. A 20, 569 (2003).
  27. J. Yoon, K. H. Seol, S. H. Song, and R. Magnusson, Critical coupling in dissipative surface-plasmon resonators with multiple ports, Opt. Express 18, 25702 (2010).
  28. D. R. Abujetas, Á. Barreda, F. Moreno, A. Litman, J. M. Geffrin, and J. A. Sánchez-Gil, High-Q transparency band in all-dielectric metasurfaces induced by a quasi bound state in the continuum, Laser Photonics Rev. 15, 2000263 (2021).
  29. L. Michaeli, H. Suchowski, and T. Ellenbogen, Near-infrared tunable surface lattice induced transparency in a plasmonic metasurface, Laser Photonics Rev. 14, 1900204 (2020).
  30. X. Zhao, R. Huang, X. Du, Z. Zhang, and G. Li, Ultrahigh-Q metasurface transparency band induced by collective–collective coupling, Nano Lett. 24, 1238 (2024).
  31. R. Kazarinov and C. Henry, Second-order distributed feedback lasers with mode selection provided by first-order radiation losses, IEEE J. Quantum Electron. 21, 144 (1985).
  32. D. Rosenblatt, A. Sharon, and A. A. Friesem, Resonant grating waveguide structures, IEEE J. Quantum Electron. 33, 2038 (1997).
  33. Y. Ding and R. Magnusson, Band gaps and leaky-wave effects in resonant photonic-crystal waveguides, Opt. Express 15, 680 (2007).
  34. F. Monticone and A. Alu, Leaky-wave theory, techniques, and applications: From microwaves to visible frequencies, Proc. IEEE 103, 793 (2015).
  35. See Supplemental Material at http://link.aps.org/supplemental/10.1103/3dw5-nvdq for mathematical treatments of the guided-mode resonance eigenvalue problem, the temporal coupledmode theory description, and additional simulation data confirming the validity of the theoretical descriptions.
  36. K. Y. Lee et al., Topological guided-mode resonances at non-Hermitian nanophotonic interfaces, Nanophotonics 10, 1853 (2021).
  37. K. Y. Lee, S. Yoon, S. H. Song, and J. W. Yoon, Topological beaming of light, Sci. Adv. 8, eadd8349 (2022).
  38. Y. S. Choi, K. Y. Lee, and J. W. Yoon, Topological surface plasmon resonance in deep subwavelength structure, Curr. Appl Phys. 45, 72 (2023).
  39. H. Xue et al., Non-Hermitian dirac cones, Phys. Rev. Lett. 124, 236403 (2020).
  40. E. Mikheeva et al., Asymmetric phase modulation of light with parity-symmetry broken metasurfaces, Optica 10, 1287 (2023).
  41. R. Colom et al., Crossing of the branch cut: The topological origin of a universal 2π-phase retardation in non-Hermitian metasurfaces, Laser Photonics Rev. 17, 2200976 (2023).
  42. K. Shastri and F. Monticone, Nonlocal flat optics, Nat. Photonics 17, 36 (2023).
  43. A. Overvig and A. Alù, Diffractive nonlocal metasurfaces, Laser Photonics Rev. 16, 2100633 (2022).
  44. A. C. Overvig et al., Selection rules for quasibound states in the continuum, Phys. Rev. B 102, 035434 (2020).
  45. D. Lin, P. Fan, E. Hasman, and M. L. Brongersma, Dielectric gradient metasurface optical elements, Science 345, 298 (2014).
  46. N. Yu and F. Capasso, Flat optics with designer metasurfaces, Nat. Mat. 13, 139 (2014).
  47. C. Liu, Y. Bai, Q. Zhao, Y. Yang, H. Chen, J. Zhou, and L. Qiao, Fully controllable Pancharatnam-Berry metasurface array with high conversion efficiency and broad bandwidth, Sci. Rep. 6, 34819 (2016).
  48. C. McDonnell, J. Deng, S. Sideris, T. Ellenbogen, and G. Li, Functional THz emitters based on Pancharatnam-Berry phase nonlinear metasurfaces, Nat. Commun. 12, 30 (2021).
  49. A. H. Dorrah et al., Free-standing bilayer metasurfaces in the visible, Nat. Commun. 16, 3126 (2025).
  50. Z.-P. Zhuang, X. Zhou, H.-L. Zeng, M.-Y. Li, Z.-M. Chen, X.-T. He, X.-D. Chen, L. Zhou, and J.-W. Dong, Overcoming intrinsic dispersion locking for achieving spatio-spectral selectivity with misaligned bilayer metagratings, eLight 5, 13 (2025).
  51. D. Fattal, J. Li, Z. Peng, M. Fiorentino, and R. G. Beausoleil, Flat dielectric grating reflectors with focusing abilities, Nat. Photonics 4, 466 (2010).
  52. N. P. Ong and S. Liang, Experimental signatures of the chiral anomaly in Dirac–Weyl semimetals, Nat. Rev. Phys. 3, 394 (2021).
  53. A. A. Burkov, M. D. Hook, and L. Balents, Topological nodal semimetals, Phys. Rev. B 84, 235126 (2011).

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Phys. Rev. Research 7, 043067– Published 17 October, 2025
  • Received 5 October 2023
  • Accepted 25 September 2025
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Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI.

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