Abstract
All-optical modulation yields the promise of high-speed information processing. In this field, metasurfaces are rapidly gaining traction as ultrathin multifunctional platforms for light management. Among the featured functionalities, they enable light-wavefront manipulation and more recently demonstrated the ability to perform light-by-light manipulation through nonlinear optical processes. Here, by employing a nonlinear periodic metasurface, we demonstrate the all-optical routing of telecom photons upconverted to the visible range. This is achieved via the interference between two frequency-degenerate upconversion processes, namely, third-harmonic and sum-frequency generation, stemming from the interaction of a pump pulse with its frequency-doubled replica. By tuning the relative phase and polarization between these two pump beams, we route the upconverted signal among the diffraction orders of the metasurface with a modulation efficiency of up to 90%. This can be achieved by concurrently engineering the nonlinear emission of the individual elements (meta-atoms) of the metasurface along with its pitch. Owing to the phase control and ultrafast dynamics of the underlying nonlinear processes, free-space all-optical routing could be potentially performed at rates close to the employed optical frequencies divided by the quality factor of the optical resonances at play. Our approach adds a further twist to optical interferometry, which is a key enabling technique employed in a wide range of applications, such as homodyne detection, radar interferometry, light detection and ranging technology, gravitational-wave detection and molecular photometry. In particular, the nonlinear character of light upconversion combined with phase sensitivity is extremely appealing for enhanced imaging and biosensing.
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Data availability
All data that support the findings of the study are provided in this Article and its Supplementary Information. Raw data are available from the corresponding authors upon reasonable request. Source data are provided with this paper.
References
Yuen, H. P. & Chan, V. W. S. Noise in homodyne and heterodyne detection. Opt. Lett. 8, 177–179 (1983).
Massonnet, D. et al. The displacement field of the Landers earthquake mapped by radar interferometry. Nature 364, 138–142 (1993).
Poulton, C. V. et al. Coherent solid-state LIDAR with silicon photonic optical phased arrays. Opt. Lett. 42, 4091–4094 (2017).
Spollard, J. T., Roberts, L. E., Sambridge, C. S., McKenzie, K. & Shaddock, D. A. Mitigation of phase noise and Doppler-induced frequency offsets in coherent random amplitude modulated continuous-wave LiDAR. Opt. Express 29, 9060–9083 (2021).
Lin, V. S. Y., Motesharei, K., Dancil, K. P. S., Sailor, M. J. & Ghadiri, M. R. A porous silicon-based optical interferometric biosensor. Science 278, 840–843 (1997).
Allsop, T., Reeves, R., Webb, D. J., Bennion, I. & Neal, R. A high sensitivity refractometer based upon a long period grating Mach–Zehnder interferometer. Rev. Sci. Instrum. 73, 1702–1705 (2002).
Lee, B. H. et al. Interferometric fiber optic sensors. Sensors 12, 2467–2486 (2012).
Bongs, K. et al. Taking atom interferometric quantum sensors from the laboratory to real-world applications. Nat. Rev. Phys. 1, 731–739 (2019).
Celebrano, M., Kukura, P., Renn, A. & Sandoghdar, V. Single-molecule imaging by optical absorption. Nat. Photon. 5, 95–98 (2011).
Gao, Y., Goodman, A. J., Shen, P.-C., Kong, J. & Tisdale, W. A. Phase-modulated degenerate parametric amplification microscopy. Nano Lett. 18, 5001–5006 (2018).
Rivard, M. et al. Imaging the bipolarity of myosin filaments with interferometric second harmonic generation microscopy. Biomed. Opt. Express 4, 2078–2086 (2013).
Young, G. et al. Quantitative mass imaging of single biological macromolecules. Science 360, 423–427 (2018).
Crespi, A. et al. Three-dimensional Mach–Zehnder interferometer in a microfluidic chip for spatially-resolved label-free detection. Lab Chip 10, 1167–1173 (2010).
Sturm, C. et al. All-optical phase modulation in a cavity-polariton Mach–Zehnder interferometer. Nat. Commun. 5, 3278 (2014).
Burla, M. et al. 500 GHz plasmonic Mach–Zehnder modulator enabling sub-THz microwave photonics. APL Photonics 4, 056106 (2019).
Amin, R. et al. Sub-wavelength GHz-fast broadband ITO Mach–Zehnder modulator on silicon photonics. Optica 7, 333–335 (2020).
Almeida, V., Barrios, C., Panepucci, R. & Lipson, M. All-optical control of light on a silicon chip. Nature 431, 1081–1084 (2004).
Nozaki, K. et al. Sub-femtojoule all-optical switching using a photonic-crystal nanocavity. Nat. Photon. 4, 477–483 (2010).
Guo, Q. et al. Femtojoule femtosecond all-optical switching in lithium niobate nanophotonics. Nat. Photon. 16, 625–631 (2022).
Gigli, C., Li, Q., Chavel, P., Leo, G., Brongersma, M. L. & Lalanne, P. Fundamental limitations of Huygens’ metasurfaces for optical beam shaping. Laser Photonics Rev. 15, 20000448 (2021).
Chen, W. T., Zhu, A. Y. & Capasso, F. Flat optics with dispersion-engineered metasurfaces. Nat. Rev. Mater. 5, 604–620 (2020).
Neshev, D. & Aharonovich, I. Optical metasurfaces: new generation building blocks for multi-functional optics. Light Sci. Appl. 7, 58 (2018).
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 (2018).
Bonacina, L., Brevet, P.-F., Finazzi, M. & Celebrano, M. Harmonic generation at the nanoscale. J. Appl. Phys. 127, 230901 (2020).
Vabishchevich, P. & Kivshar, Y. Nonlinear photonics with metasurfaces. Photon. Res. 11, B50–B64 (2023).
Sautter, J. et al. Active tuning of all-dielectric metasurfaces. ACS Nano 9, 4308–4315 (2015).
Nemati, A., Wang, Q., Hong, M. & Teng, J. Tunable and reconfigurable metasurfaces and metadevices. Opto-Electron. Adv. 1, 180009 (2018).
Shirmanesh, G. K., Sokhoyan, R., Wu, P. C. & Atwater, H. A. Electro-optically tunable multifunctional metasurfaces. ACS Nano 14, 6912–6920 (2020).
Grinblat, G. Nonlinear dielectric nanoantennas and metasurfaces: frequency conversion and wavefront control. ACS Photonics 8, 3406–3432 (2021).
Fedotova, A. et al. Lithium niobate meta-optics. ACS Photonics 9, 3745–3763 (2022).
Camacho-Morales, R. et al. Infrared upconversion imaging in nonlinear metasurfaces. Adv. Photonics 3, 036002 (2021).
Zheng, Z. et al. Third-harmonic generation and imaging with resonant Si membrane metasurface. Opto-Electron Adv. 6, 220174 (2023).
Keren-Zur, S., Tal, M., Fleischer, S., Mittleman, D. M. & Ellenbogen, T. Generation of spatiotemporally tailored terahertz wavepackets by nonlinear metasurfaces. Nat. Commun. 10, 1778 (2017).
Xomalis, A. et al. Detecting mid-infrared light by molecular frequency upconversion in dual-wavelength nanoantennas. Science 374, 1268–1271 (2021).
Chen, W. et al. Continuous-wave frequency upconversion with a molecular optomechanical nanocavity. Science 374, 1264–1267 (2021).
Salamin, Y. et al. Compact and ultra-efficient broadband plasmonic terahertz field detector. Nat. Commun. 10, 5550 (2019).
Santiago-Cruz, T. et al. Resonant metasurfaces for generating complex quantum states. Science 377, 991–995 (2022).
Mesch, M., Metzger, B., Hentschel, M. & Giessen, H. Nonlinear plasmonic sensing. Nano Lett. 16, 3155–3159 (2016).
Ghirardini, L. et al. Plasmon-enhanced second harmonic sensing. J. Phys. Chem. C 122, 11475–11481 (2018).
Gao, Y. et al. Nonlinear holographic all-dielectric metasurfaces. Nano Lett. 18, 8054–8061 (2018).
Gigli, C. et al. Tensorial phase control in nonlinear meta-optics. Optica 8, 269–276 (2021).
Reineke, B. et al. Silicon metasurfaces for third harmonic geometric phase manipulation and multiplexed holography. Nano Lett. 19, 6585–6591 (2019).
Shaltout, A. M., Shalaev, V. M. & Brongersma, M. L. Spatiotemporal light control with active metasurfaces. Science 364, eaat3100 (2019).
Yang, J., Gurung, S., Bej, S., Ni, P. & Lee, H. W. H. Active optical metasurfaces: comprehensive review on physics, mechanisms, and prospective applications. Rep. Prog. Phys. 85, 036101 (2022).
Benea-Chelmus, I. C. et al. Gigahertz free-space electro-optic modulators based on Mie resonances. Nat. Commun. 13, 3170 (2022).
Ren, M. et al. Nanostructured plasmonic medium for terahertz bandwidth all-optical switching. Adv. Mater. 23, 5540–5544 (2011).
Shcherbakov, M. R. et al. Ultrafast all-optical tuning of direct-gap semiconductor metasurfaces. Nat. Commun. 8, 17 (2017).
Dhama, R. et al. All-optical switching based on plasmon-induced enhancement of index of refraction. Nat. Commun. 13, 3114 (2022).
Grinblat, G. et al. Efficient ultrafast all-optical modulation in a nonlinear crystalline gallium phosphide nanodisk at the anapole excitation. Sci. Adv. 6, eabb3123 (2020).
Pogna, E. A. A. et al. Ultrafast, all optically reconfigurable, nonlinear nanoantenna. ACS Nano 15, 11150–11157 (2021).
Shan, J. Y. et al. Giant modulation of optical nonlinearity by Floquet engineering. Nature 600, 235–239 (2021).
Klimmer, S. et al. All-optical polarization and amplitude modulation of second-harmonic generation in atomically thin semiconductors. Nat. Photon. 15, 837–842 (2021).
Zilli, A. et al. Frequency tripling via sum-frequency generation at the nanoscale. ACS Photonics 8, 1175–1182 (2021).
Gili, V. F. et al. Monolithic AlGaAs second-harmonic nanoantennas. Opt. Express 24, 15965–15971 (2016).
Di Francescantonio, A. et al. Coherent control of the nonlinear emission of single plasmonic nanoantennas by dual-beam pumping. Adv. Opt. Mater. 10, 2200757 (2022).
Liu, Z. et al. High-Q quasibound states in the continuum for nonlinear metasurfaces. Phys. Rev. Lett. 123, 253901 (2019).
Vogwell, J., Rego, L., Smirnova, O. & Ayuso, D. Ultrafast control over chiral sum-frequency generation. Sci. Adv. 9, eadj1429 (2023).
Høgstedt, L., Fix, A., Wirth, M., Pedersen, C. & Tidemand-Lichtenberg, P. Upconversion-based LiDAR measurements of atmospheric CO2. Opt. Express 24, 5152–5161 (2016).
Yazdanfar, S., Laiho, L. H. & So, P. T. C. Interferometric second harmonic generation microscopy. Opt. Express 12, 2739–2745 (2004).
Gehrsitz, S. et al. The refractive index of AlxGa1−xAs below the band gap: accurate determination and empirical modeling. J. Appl. Phys. 87, 7825–7837 (2000).
Papatryfonos, K. et al. Refractive indices of MBE-grown AlxGa(1–x)As ternary alloys in the transparent wavelength region. AIP Adv. 11, 025327 (2021).
Wang, Y., Zilli, A., Sztranyovszky, Z., Langbein, W. & Borri, P. Quantitative optical microspectroscopy, electron microscopy, and modelling of individual silver nanocubes reveal surface compositional changes at the nanoscale. Nanoscale Adv. 2, 2485–2496 (2020).
Yang, J., Hugonin, J.-P. & Lalanne, P. Near-to-far field transformations for radiative and guided waves. ACS Photonics 3, 395–402 (2016).
Acknowledgements
A.Z., D.R. M.C., M.F., G.L. and C.D.A. acknowledge financial support from the European Union’s Horizon 2020 research and innovation programme through the project ‘METAFAST’ (grant agreement no. 899673). A.Z., D.R., M.C., M.F. and C.D.A. acknowledge the Italian Ministry of University and Research through the PRIN project NOMEN (id: 2017MP7F8F). G.L acknowledges the French Agence Nationale de la Recherche, project NANOPAIR (ANR-18-CE92-0043). M.C. would like to thank B. Celebrano for insightful discussions and invaluable mentoring.
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M.C., M.F. and C.D.A. conceived the experiment. A.D.F., A.Z. and F.C. performed the experiments and analysed the data. D.R., A.D.F., A.Z. and P.B. performed the numerical simulations. L.C., A.L. and G.L. realized the metasurface. L.D., C.D.A., M.C. and M.F. supervised the project. A.D.F., M.F. and M.C. wrote the original draft.
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Supplementary Figs. 1–7 and text.
Supplementary Video 1
BFP images of upconverted light emitted by the metasurfaces acquired at a time delay of 660 as between the pump pulse.
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Di Francescantonio, A., Zilli, A., Rocco, D. et al. All-optical free-space routing of upconverted light by metasurfaces via nonlinear interferometry. Nat. Nanotechnol. 19, 298–305 (2024). https://doi.org/10.1038/s41565-023-01549-2
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DOI: https://doi.org/10.1038/s41565-023-01549-2
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