• Neshev, D. N. & Miroshnichenko, A. E. Enabling smart vision with metasurfaces. Nat. Photonics 17, 26–35 (2023).

    Article 
    ADS 

    Google Scholar
     

  • Hu, J. et al. Diffractive optical computing in free space. Nat. Commun. 15, 1525 (2024).

    Article 
    ADS 

    Google Scholar
     

  • Schulz, S. A. et al. Roadmap on photonic metasurfaces. Appl. Phys. Lett. 124, 260701 (2024).

    Article 
    ADS 

    Google Scholar
     

  • Feng, Z. et al. Dual-band polarized upconversion photoluminescence enhanced by resonant dielectric metasurfaces. eLight 3, 21 (2023).

    Article 

    Google Scholar
     

  • Zheng, Z. et al. Third-harmonic generation and imaging with resonant Si membrane metasurface. Opto-Electron. Adv 6, 220174 (2023).

    Article 
    ADS 

    Google Scholar
     

  • Lalanne, P. et al. Design and fabrication of blazed binary diffractive elements with sampling periods smaller than the structural cutoff. J. Opt. Soc. Am. A 16, 1143–1156 (1999).

    Article 
    ADS 

    Google Scholar
     

  • Chen, W. T., Zhu, A. Y. & Capasso, F. Flat optics with dispersion-engineered metasurfaces. Nat. Rev. Mater. 5, 604–620 (2020).

    Article 
    ADS 

    Google Scholar
     

  • Sinelnik, A. et al. Ultrafast all-optical second harmonic wavefront shaping. Nat. Commun. 15, 2507 (2024).

    Article 
    ADS 

    Google Scholar
     

  • Zheng, Z. et al. Planar narrow bandpass filter based on Si resonant metasurface. J. Appl. Phys. 130, 053105 (2021).

    Article 
    ADS 

    Google Scholar
     

  • Zou, X. et al. Pixel-level Bayer-type colour router based on metasurfaces. Nat. Commun. 13, 3288 (2022).

    Article 
    ADS 

    Google Scholar
     

  • Shcherbakov, M. R. et al. Ultrafast all-optical tuning of direct-gap semiconductor metasurfaces. Nat. Commun. 8, 17 (2017).

    Article 
    ADS 

    Google Scholar
     

  • Maiuri, M. et al. Ultrafast all-optical metasurfaces: Challenges and new frontiers. ACS Photonics 11, 2888–2905 (2024).

    Article 

    Google Scholar
     

  • Santiago-Cruz, T. et al. Photon pairs from resonant metasurfaces. Nano Lett. 21, 4423–4429 (2021).

    Article 
    ADS 

    Google Scholar
     

  • Santiago-Cruz, T. et al. Resonant metasurfaces for generating complex quantum states. Science 377, 991–995 (2022).

    Article 
    ADS 

    Google Scholar
     

  • Arbabi, A. et al. A. Dielectric metasurfaces for complete control of phase and polarization with subwavelength spatial resolution and high transmission. Nat. Nanotechnol. 10, 937–943 (2015).

    Article 
    ADS 

    Google Scholar
     

  • Li, F.-J. et al. Metasurface polarization optics: From classical to quantum. Appl. Phys. Rev. 11, 041332 (2024).

    Article 
    ADS 

    Google Scholar
     

  • Basiri, A. et al. Nature-inspired chiral metasurfaces for circular polarization detection and full-Stokes polarimetric measurements. Light Sci. Appl. 8, 78 (2019).

    Article 
    ADS 

    Google Scholar
     

  • Rubin, N. A. et al. Matrix Fourier optics enables a compact full-Stokes polarization camera. Science 365, eaax1839 (2019).

    Article 
    ADS 

    Google Scholar
     

  • Li, G., Zhang, S. & Zentgraf, T. Nonlinear photonic metasurfaces. Nat. Rev. Mater. 2, 17010 (2017).

    Article 
    ADS 

    Google Scholar
     

  • Bonacina, L. et al. Harmonic generation at the nanoscale. J. Appl. Phys. 127, 230901 (2020).

    Article 
    ADS 

    Google Scholar
     

  • Vabishchevich, P. & Kivshar, Y. Nonlinear photonics with metasurfaces. Photonics Res. 11, B50–B62 (2023).

    Article 

    Google Scholar
     

  • Zhang, Y. et al. Chirality logic gates. Sci. Adv. 8, eabq8246 (2022).

    Article 
    ADS 

    Google Scholar
     

  • Zhang, Y. et al. Coherent modulation of chiral nonlinear optics with crystal symmetry. Light Sci. Appl. 11, 216 (2022).

    Article 
    ADS 

    Google Scholar
     

  • Finazzi, M. et al. Selection rules for second-harmonic generation in nanoparticles. Phys. Rev. B 76, 125414 (2007).

    Article 
    ADS 

    Google Scholar
     

  • Konishi, K., Kan, T. & Kuwata-Gonokami, M. Tunable and nonlinear metamaterials for controlling circular polarization. J. Appl. Phys. 127, 230902 (2020).

    Article 
    ADS 

    Google Scholar
     

  • Konishi, K. et al. Polarization-controlled circular second-harmonic generation from metal hole arrays with threefold rotational symmetry. Phys. Rev. Lett. 112, 135502 (2014).

    Article 
    ADS 

    Google Scholar
     

  • Chen, S. M. et al. Giant nonlinear optical activity of achiral origin in planar metasurfaces with quadratic and cubic nonlinearities. Adv. Mater. 28, 2992–2999 (2016).

    Article 

    Google Scholar
     

  • Wang, H. et al. All-optical ultrafast polarization switching with nonlinear plasmonic metasurfaces. Sci. Adv 10, eadk3882 (2024).

    Article 

    Google Scholar
     

  • Reineke, B. et al. Silicon metasurfaces for third harmonic geometric phase manipulation and multiplexed holography. Nano Lett. 19, 6585–6591 (2019).

    Article 
    ADS 

    Google Scholar
     

  • Zhu, Z. et al. Nonlinear polarization imaging by parametric upconversion. Optica 9, 1297–1302 (2022).

    Article 
    ADS 

    Google Scholar
     

  • Hendry, E. et al. Ultrasensitive detection and characterization of biomolecules using superchiral fields. Nat. Nanotechnol. 5, 783–787 (2010).

    Article 
    ADS 

    Google Scholar
     

  • Ren, M. X. et al. Giant nonlinear optical activity in a plasmonic metamaterial. Nat. Commun. 3, 833 (2012).

    Article 
    ADS 

    Google Scholar
     

  • 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).

    Article 

    Google Scholar
     

  • Di Francescantonio, A. et al. All-optical free-space routing of upconverted light by metasurfaces via nonlinear interferometry. Nat. Nanotechnol. 19, 298–305 (2024).

    Article 
    ADS 

    Google Scholar
     

  • Abdelraouf, O. A. M. et al. Recent advances in tunable metasurfaces: Materials, design, and applications. ACS Nano 16, 13339–13369 (2022).

    Article 

    Google Scholar
     

  • Cordaro, A. et al. Solving integral equations in free space with inverse-designed ultrathin optical metagratings. Nat. Nanotechnol. 18, 365–372 (2023).

    Article 
    ADS 

    Google Scholar
     

  • Guo, C. et al. Photonic crystal slab Laplace operator for image differentiation. Optica 5, 251–256 (2018).

    Article 
    ADS 

    Google Scholar
     

  • Zhou, Y. et al. Flat optics for image differentiation. Nat. Photonics 14, 316–323 (2020).

    Article 
    ADS 

    Google Scholar
     

  • de Ceglia, D. et al. Analog image processing with nonlinear nonlocal flat optics. Opt. Mater. Express 14, 92–100 (2024).

    Article 
    ADS 

    Google Scholar
     

  • Rocco, D. et al. Tunable second harmonic generation by an all-dielectric diffractive metasurface embedded in liquid crystals. New J. Phys 24, 045002 (2022).

    Article 
    ADS 

    Google Scholar
     

  • Sultanov, V. et al. Tunable entangled photon-pair generation in a liquid crystal. Nature 631, 294–299 (2024).

    Article 
    ADS 

    Google Scholar
     

  • He, Z. et al. Electro-optically modulated nonlinear metasurfaces. Nano Lett. 24, 14215–14221 (2024).

    Article 
    ADS 

    Google Scholar
     

  • Di Francescantonio, A. et al. Efficient GHz electro-optical modulation with a nonlocal lithium niobate metasurface in the linear and nonlinear regime. Nat Commun 16, 7000 (2025).

    Article 
    ADS 

    Google Scholar
     

  • Celebrano, M. et al. Optical tuning of dielectric nanoantennas for thermo-optically reconfigurable nonlinear metasurfaces. Opt. Lett 46, 2453–2456 (2021).

    Article 
    ADS 

    Google Scholar
     

  • Sartorello, G. et al. Ultrafast optical modulation of second- and third-harmonic generation from cut-disk-based metasurfaces. ACS Photonics 3, 1517–1522 (2016).

    Article 

    Google Scholar
     

  • Pogna, E. A. A. et al. Ultrafast, all optically reconfigurable, nonlinear nanoantenna. ACS Nano 15, 11150–11157 (2021).

    Article 

    Google Scholar
     

  • Burla, M. et al. 500 GHz plasmonic Mach-Zehnder modulator enabling sub-THz microwave photonics. APL Photonics 4, 056106 (2019).

    Article 
    ADS 

    Google Scholar
     

  • Carletti, L. et al. Enhanced second-harmonic generation from magnetic resonance in AlGaAs nanoantennas. Opt. Express 23, 26544–26550 (2015).

    Article 
    ADS 

    Google Scholar
     

  • Gili, V. F. et al. Monolithic AlGaAs second-harmonic nanoantennas. Opt. Express 24, 15965–15971 (2016).

    Article 
    ADS 

    Google Scholar
     

  • Camacho-Morales, R. et al. Nonlinear generation of vector beams from AlGaAs nanoantennas. Nano Lett. 16, 7191–7197 (2016).

    Article 
    ADS 

    Google Scholar
     

  • Liu, S. et al. Resonantly enhanced second-harmonic generation using III–V semiconductor all-dielectric metasurfaces. Nano Lett. 16, 5426–5432 (2016).

    Article 
    ADS 

    Google Scholar
     

  • Ghirardini, L. et al. Polarization properties of second-harmonic generation in AlGaAs optical nanoantennas. Opt. Lett 42, 559–562 (2017).

    Article 
    ADS 

    Google Scholar
     

  • Schaefer, B. et al. Measuring the Stokes polarization parameters. Am. J. Phys. 75, 163–168 (2007).

    Article 
    ADS 

    Google Scholar
     

  • Vogwell, J. et al. Ultrafast control over chiral sum-frequency generation. Sci. Adv. 9, eadj1429 (2023).

    Article 

    Google Scholar