Subwavelength dielectric resonators assembled into metasurfaces have become a versatile tool for miniaturizing optical components approaching the nanoscale1,2,3. An important class of metasurface functionalities is associated with asymmetry in both the generation and transmission of light with respect to reversals of the positions of emitters and receivers4,5,6. The nonlinear light–matter interaction in metasurfaces7,8,9 offers a promising pathway towards miniaturization of the asymmetric control of light. Here we demonstrate asymmetric parametric generation of light in nonlinear metasurfaces. We assemble dissimilar nonlinear dielectric resonators into translucent metasurfaces that produce images in the visible spectral range on being illuminated by infrared radiation. By design, the metasurfaces produce different and completely independent images for the reversed direction of illumination, that is, when the positions of the infrared emitter and the visible light receiver are exchanged. Nonlinearity-enabled asymmetric control of light by subwavelength resonators paves the way towards novel nanophotonic components via dense integration of large quantities of nonlinear resonators into compact metasurface designs.
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All data in this study are available within the paper and the Supplementary Information. Additional information will be provided by S.K. and L.W. on reasonable request.
The code used for modelling the data is available for download at https://pan.seu.edu.cn:443/link/4A3683E9DA843E10D06FFBA5B43DCDFD. Additional information will be provided by L.W. on reasonable request.
Kruk, S. S. & Kivshar, Y. S. Functional meta-optics and nanophotonics governed by Mie resonances. ACS Photonics 4, 2638–2649 (2017).
Chen, W. T., Zhu, A. Y. & Capasso, F. Flat optics with dispersion-engineered metasurfaces. Nat. Rev. Mater. 5, 604–620 (2020).
Kamali, S. M., Arbabi, E., Arbabi, A. & Faraon, A. A review of dielectric optical metasurfaces for wavefront control. Nanophotonics 7, 1041–1068 (2018).
Gallo, K., Assanto, G., Parameswaran, K. R. & Fejer, M. M. All-optical diode in a periodically poled lithium niobate waveguide. Appl. Phys. Lett. 79, 314–316 (2001).
Lepri, S. & Casati, G. Asymmetric wave propagation in nonlinear systems. Phys. Rev. Lett. 106, 164101 (2011).
Biancalana, F. All-optical diode action with quasiperiodic photonic crystals. J. Appl. Phys. 104, 93113 (2008).
Li, G., Zhang, S. & Zentgraf, T. Nonlinear photonic metasurfaces. Nat. Rev. Mater. 2, 17010 (2017).
Krasnok, A., Tymchenko, M. & Alù, A. Nonlinear metasurfaces: a paradigm shift in nonlinear optics. Mater. Today 21, 8–21 (2017).
Zubyuk, V., Carletti, L., Shcherbakov, M. & Kruk, S. Resonant dielectric metasurfaces in strong optical fields. APL Mater. 9, 060701 (2021).
Schlickriede, C. et al. Imaging through nonlinear metalens using second harmonic generation. Adv. Opt. Mater. 30, 1703843 (2018).
D’Aguanno, G. et al. Nonlinear topological transitions over a metasurface. Phys. Rev. B 100, 214310 (2019).
Huang, Z., Baron, A., Larouche, S., Argyropoulos, C. & Smith, D. R. Optical bistability with film-coupled metasurfaces. Opt. Lett. 40, 5638–5641 (2015).
Divitt, S., Zhu, W., Zhang, C., Lezec, H. J. & Agrawal, A. Ultrafast optical pulse shaping using dielectric metasurfaces. Science 364, 890–894 (2019).
Koshelev, K. et al. Subwavelength dielectric resonators for nonlinear nanophotonics. Science 367, 288–292 (2020).
Bender, N. et al. Observation of asymmetric transport in structures with active nonlinearities. Phys. Rev. Lett. 110, 234101 (2013).
Shitrit, N. et al. Asymmetric free-space light transport at nonlinear metasurfaces. Phys. Rev. Lett. 121, 046101 (2018).
Mahmoud, A. M., Davoyan, A. R. & Engheta, N. All-passive nonreciprocal metastructure. Nat. Commun. 6, 8359 (2015).
Poutrina, E. & Urbas, A. Multipolar interference for non-reciprocal nonlinear generation. Sci. Rep. 6, 25113 (2016).
Kim, K. H. Asymmetric second-harmonic generation with high efficiency from a non-chiral hybrid bilayer complementary metasurface. Plasmonics 16, 77–82 (2021).
Lawrence, M., Barton, D. R. & Dionne, J. A. Nonreciprocal flat optics with silicon metasurfaces. Nano Lett. 18, 1104–1109 (2018).
Jin, B. & Argyropoulos, C. Self-induced passive nonreciprocal transmission by nonlinear bifacial dielectric metasurfaces. Phys. Rev. Appl. 13, 054056 (2020).
Cheng, L. et al. Superscattering, superabsorption and nonreciprocity in nonlinear antennas. ACS Photonics 8, 585–591 (2021).
Asadchy, V. S., Díaz-Rubio, A. & Tretyakov, S. A. Bianisotropic metasurfaces: physics and applications. Nanophotonics 7, 1069–1094 (2018).
Kruk, S. et al. Nonlinear light generation in topological nanostructures. Nat. Nanotechnol. 14, 126–130 (2019).
Zhao, Y., Belkin, M. A. & Alù, A. Twisted optical metamaterials for planarized ultrathin broadband circular polarizers. Nat. Commun. 3, 870 (2012).
Svirko, Y., Zheludev, N. & Osipov, M. Layered chiral metallic microstructures with inductive coupling. Appl. Phys. Lett. 78, 498–500 (2001).
Menzel, C. et al. Asymmetric transmission of linearly polarized light at optical metamaterials. Phys. Rev. Lett. 104, 253902 (2010).
Pfeiffer, C., Zhang, C., Ray, V., Guo, L. J. & Grbic, A. High performance bianisotropic metasurfaces: asymmetric transmission of light. Phys. Rev. Lett. 113, 023902 (2014).
Ra’Di, Y., Asadchy, V. S. & Tretyakov, S. A. Tailoring reflections from thin composite metamirrors. IEEE Trans. Antennas Propag. 62, 3749–3760 (2014).
Albooyeh, M., Alaee, R., Rockstuhl, C. & Simovski, C. Revisiting substrate-induced bianisotropy in metasurfaces. Phys. Rev. B 91, 195304 (2015).
Zhirihin, D. V. et al. Photonic spin Hall effect mediated by bianisotropy. Opt. Lett. 44, 1694–1697 (2019).
Gorlach, A. A., Zhirihin, D. V., Slobozhanyuk, A. P., Khanikaev, A. B. & Gorlach, M. A. Photonic Jackiw-Rebbi states in all-dielectric structures controlled by bianisotropy. Phys. Rev. B 99, 205122 (2019).
Khanikaev, A. B. et al. Photonic topological insulators. Nat. Mater. 12, 233–239 (2012).
Albooyeh, M. et al. Purely bianisotropic scatterers. Phys. Rev. B 94, 245428 (2016).
Ra’Di, Y. & Tretyakov, S. A. Balanced and optimal bianisotropic particles: maximizing power extracted from electromagnetic fields. New J. Phys. 15, 053008 (2013).
Grahn, P., Shevchenko, A. & Kaivola, M. Electromagnetic multipole theory for optical nanomaterials. New J. Phys. 14, 093033 (2012).
Multipole Analysis of Electromagnetic Scattering (COMSOL. 2015); https://cn.comsol.com/model/download/588151/
We thank V. Asadchy, A. Alu, C. Caloz, A. Poddubny, D. Smirnova, K. Simovski, I. Shadrivov and S. Tretyakov for numerous stimulating discussions. We acknowledge the use of the nanofabrication facility at Paderborn University and acknowledge the Australian National Fabrication Facility, ACT Node, for access to the electron microscope. S.S.K. acknowledges support from the Alexander von Humboldt Foundation, the Australian Research Council (DE210100679) and the EU Horizon 2020 research and innovation programme (grant no. 896735). Z.D. acknowledges help from F. Tjiptoharsono with the fabrication etching recipe. T.Z. acknowledges funding by the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation programme (grant agreement no. 724306) and the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation; TRR142, no. 231447078, project B09). L.W. acknowledges support from the National Key R&D Program of China (2020YFB1806603), the National Natural Science Foundation of China (grant no. 62101127), the Natural Science Foundation of Jiangsu Province of China (BK20200393), SC project of Jiangsu Province (JSSCBS20210116) and the Fundamental Research Funds for the Central Universities (2242022R10025). Y.K. acknowledges support from the Strategic Fund of the Australian National University, the Australian Research Council (grant no. DP210101292) and the US Army International Office (grant no. FA520921P0034).
The authors declare no competing interests.
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Nature Photonics thanks Christos Argyropoulos, Yuanmu Yang and the other, anonymous, reviewer(s) for their contribution to the peer review of this work.
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Kruk, S.S., Wang, L., Sain, B. et al. Asymmetric parametric generation of images with nonlinear dielectric metasurfaces. Nat. Photon. 16, 561–565 (2022). https://doi.org/10.1038/s41566-022-01018-7
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