• Li, J., Yi, X., Lee, H., Diddams, S. A. & Vahala, K. J. Electro-optical frequency division and stable microwave synthesis. Science 345, 309–313 (2014).

    Article 
    ADS 

    Google Scholar
     

  • Karpiński, M., Jachura, M., Wright, L. J. & Smith, B. J. Bandwidth manipulation of quantum light by an electro-optic time lens. Nat. Photonics 11, 53–57 (2017).

    Article 
    ADS 

    Google Scholar
     

  • Beha, K. et al. Electronic synthesis of light. Optica 4, 406 (2017).

    Article 
    ADS 

    Google Scholar
     

  • Carlson, D. R. et al. Ultrafast electro-optic light with subcycle control. Science 361, 1358–1363 (2018).

    Article 
    ADS 

    Google Scholar
     

  • Torres-Company, V. & Weiner, A. M. Optical frequency comb technology for ultra-broadband radio-frequency photonics. Laser Photonics Rev. 8, 368–393 (2014).

    Article 
    ADS 

    Google Scholar
     

  • Parriaux, A., Hammani, K. & Millot, G. Electro-optic frequency combs. Adv. Opt. Photonics 12, 223 (2020).

    Article 
    ADS 

    Google Scholar
     

  • Metcalf, A. J., Torres-Company, V., Leaird, D. E. & Weiner, A. M. High-power broadly tunable electrooptic frequency comb generator. IEEE J. Sel. Top. Quantum Electron. 19, 231–236 (2013).

    Article 
    ADS 

    Google Scholar
     

  • Kobayashi, T., Sueta, T., Cho, Y. & Matsuo, Y. High-repetition-rate optical pulse generator using a Fabry–Perot electro-optic modulator. Appl. Phys. Lett. 21, 341–343 (1972).

    Article 
    ADS 

    Google Scholar
     

  • Ho, K.-P. & Kahn, J. M. Optical frequency comb generator using phase modulation in amplified circulating loop. IEEE Photonics Technol. Lett. 5, 721–725 (1993).

    Article 
    ADS 

    Google Scholar
     

  • Kourogi, M., Enami, T. & Ohtsu, M. A monolithic optical frequency comb generator. IEEE Photonics Technol. Lett. 6, 214–217 (1994).

    Article 
    ADS 

    Google Scholar
     

  • Saitoh, T. et al. Modulation characteristic of waveguide-type optical frequency comb generator. J. Light. Technol. 16, 824–832 (1998).

    Article 
    ADS 

    Google Scholar
     

  • Rueda, A., Sedlmeir, F., Kumari, M., Leuchs, G. & Schwefel, H. G. L. Resonant electro-optic frequency comb. Nature 568, 378–381 (2019).

    Article 
    ADS 

    Google Scholar
     

  • Buscaino, B., Zhang, M., Loncar, M. & Kahn, J. M. Design of efficient resonator-enhanced electro-optic frequency comb generators. J. Light. Technol. 38, 1400–1413 (2020).

    Article 
    ADS 

    Google Scholar
     

  • Kourogi, M., Nakagawa, K. & Ohtsu, M. Wide-span optical frequency comb generator for accurate optical frequency difference measurement. IEEE J. Quantum Electron. 29, 2693–2701 (1993).

    Article 
    ADS 

    Google Scholar
     

  • Xiao, S., Hollberg, L., Newbury, N. R. & Diddams, S. A. Toward a low-jitter 10 GHz pulsed source with an optical frequency comb generator. Opt. Express 16, 8498 (2008).

    Article 
    ADS 

    Google Scholar
     

  • Wang, K. et al. Generating arbitrary topological windings of a non-Hermitian band. Science 371, 1240–1245 (2021).

    Article 
    ADS 

    Google Scholar
     

  • Kim, S., Krasnok, A. & Alù, A. Complex-frequency excitations in photonics and wave physics. Science 387, eado4128 (2025).

    Article 

    Google Scholar
     

  • Del’Haye, P. et al. Optical frequency comb generation from a monolithic microresonator. Nature 450, 1214–1217 (2007).

    Article 
    ADS 

    Google Scholar
     

  • Kippenberg, T. J., Gaeta, A. L., Lipson, M. & Gorodetsky, M. L. Dissipative Kerr solitons in optical microresonators. Science 361, eaan8083 (2018).

    Article 

    Google Scholar
     

  • Zhu, D. et al. Integrated photonics on thin-film lithium niobate. Adv. Opt. Photonics 13, 242 (2021).

    Article 
    ADS 

    Google Scholar
     

  • Boes, A. et al. Lithium niobate photonics: unlocking the electromagnetic spectrum. Science 379, eabj4396 (2023).

    Article 
    ADS 

    Google Scholar
     

  • Hu, Y. et al. Integrated electro-optics on thin-film lithium niobate. Nat. Rev. Phys. 7, 237–254 (2025).

    Article 

    Google Scholar
     

  • Xu, M. et al. Dual-polarization thin-film lithium niobate in-phase quadrature modulators for terabit-per-second transmission. Optica 9, 61 (2022).

    Article 
    ADS 

    Google Scholar
     

  • Shen, M. et al. Photonic link from single-flux-quantum circuits to room temperature. Nat. Photonics 18, 371–378 (2024).

    Article 
    ADS 

    Google Scholar
     

  • Feng, H. et al. Integrated lithium niobate microwave photonic processing engine. Nature 627, 80–87 (2024).

    Article 
    ADS 

    Google Scholar
     

  • Hu, Y. et al. Integrated lithium niobate photonic computing circuit based on efficient and high-speed electro-optic conversion. Nat. Commun. 16, 8178 (2025).

    Article 
    ADS 

    Google Scholar
     

  • Song, Y. et al. Integrated electro-optic digital-to-analogue link for efficient computing and arbitrary waveform generation. Nat. Photonics 19, 1107–1115 (2025).

    Article 
    ADS 

    Google Scholar
     

  • Zhang, M. et al. Broadband electro-optic frequency comb generation in a lithium niobate microring resonator. Nature 568, 373–377 (2019).

    Article 
    ADS 

    Google Scholar
     

  • Hu, Y., Reimer, C., Shams-Ansari, A., Zhang, M. & Loncar, M. Realization of high-dimensional frequency crystals in electro-optic microcombs. Optica 7, 1189 (2020).

    Article 
    ADS 

    Google Scholar
     

  • Hu, Y. et al. High-efficiency and broadband on-chip electro-optic frequency comb generators. Nat. Photonics 16, 679–685 (2022).

    Article 
    ADS 

    Google Scholar
     

  • Zhang, J. et al. Ultrabroadband integrated electro-optic frequency comb in lithium tantalate. Nature 637, 1096–1103 (2025).

    Article 
    ADS 

    Google Scholar
     

  • Lei, T. et al. Strong-coupling and high-bandwidth cavity electro-optic modulation for advanced pulse-comb synthesis. Light Sci. Appl. 14, 373 (2025).

    Article 
    ADS 

    Google Scholar
     

  • Godey, C., Balakireva, I. V., Coillet, A. & Chembo, Y. K. Stability analysis of the spatiotemporal Lugiato–Lefever model for Kerr optical frequency combs in the anomalous and normal dispersion regimes. Phys. Rev. A 89, 063814 (2014).

    Article 
    ADS 

    Google Scholar
     

  • Sounas, D. L. & Alù, A. Non-reciprocal photonics based on time modulation. Nat. Photonics 11, 774–783 (2017).

    Article 
    ADS 

    Google Scholar
     

  • Yu, M. et al. Integrated electro-optic isolator on thin-film lithium niobate. Nat. Photonics 17, 666–671 (2023).

    Article 
    ADS 

    Google Scholar
     

  • Millot, G. et al. Frequency-agile dual-comb spectroscopy. Nat. Photonics 10, 27–30 (2016).

    Article 
    ADS 

    Google Scholar
     

  • Hu, Y. et al. Mirror-induced reflection in the frequency domain. Nat. Commun. 13, 6293 (2022).

    Article 
    ADS 

    Google Scholar
     

  • Song, Y., Hu, Y., Lončar, M. & Yang, K. Hybrid Kerr–electro-optic frequency combs on thin-film lithium niobate. Light Sci. Appl. 14, 270 (2025).

    Article 
    ADS 

    Google Scholar
     

  • Hu, Y. et al. On-chip electro-optic frequency shifters and beam splitters. Nature 599, 587–593 (2021).

    Article 
    ADS 

    Google Scholar
     

  • Tusnin, A. K., Tikan, A. M. & Kippenberg, T. J. Nonlinear states and dynamics in a synthetic frequency dimension. Phys. Rev. A 102, 023518 (2020).

    Article 
    ADS 

    Google Scholar
     

  • Zhang, H. et al. On-demand tailoring soliton patterns through intracavity spectral phase programming. Nat. Commun. 16, 4710 (2025).

    Article 
    ADS 

    Google Scholar
     

  • Li, M. et al. Integrated Pockels laser. Nat. Commun. 13, 5344 (2022).

    Article 
    ADS 

    Google Scholar
     

  • Holzgrafe, J. et al. Cavity electro-optics in thin-film lithium niobate for efficient microwave-to-optical transduction. Optica 7, 1714 (2020).

    Article 
    ADS 

    Google Scholar
     

  • Guo, Q. et al. Ultrafast mode-locked laser in nanophotonic lithium niobate. Science 382, 708–713 (2023).

    Article 
    ADS 

    Google Scholar
     

  • Lucas, E., Yu, S.-P., Briles, T. C., Carlson, D. R. & Papp, S. B. Tailoring microcombs with inverse-designed, meta-dispersion microresonators. Nat. Photonics 17, 943–950 (2023).

    Article 
    ADS 

    Google Scholar
     

  • Moille, G., Lu, X., Stone, J., Westly, D. & Srinivasan, K. Fourier synthesis dispersion engineering of photonic crystal microrings for broadband frequency combs. Commun. Phys. 6, 144 (2023).

    Article 

    Google Scholar
     

  • Javid, U. A. et al. Chip-scale simulations in a quantum-correlated synthetic space. Nat. Photonics 17, 883–890 (2023).

    Article 
    ADS 

    Google Scholar
     

  • Wang, K., Dutt, A., Wojcik, C. C. & Fan, S. Topological complex-energy braiding of non-Hermitian bands. Nature 598, 59–64 (2021).

    Article 
    ADS 

    Google Scholar
     

  • Feng, L., El-Ganainy, R. & Ge, L. Non-Hermitian photonics based on parity–time symmetry. Nat. Photonics 11, 752–762 (2017).

    Article 
    ADS 

    Google Scholar
     

  • Zhu, X. et al. Twenty-nine million intrinsic Q -factor monolithic microresonators on thin-film lithium niobate. Photonics Res. 12, A63 (2024).

    Article 

    Google Scholar
     

  • Suh, M.-G. & Vahala, K. Gigahertz-repetition-rate soliton microcombs. Optica 5, 65 (2018).

    Article 
    ADS 

    Google Scholar
     

  • Xue, S. et al. Full-spectrum visible electro-optic modulator. Optica 10, 125 (2023).

    Article 
    ADS 

    Google Scholar
     

  • Suh, M.-G., Yang, Q.-F., Yang, K. Y., Yi, X. & Vahala, K. J. Microresonator soliton dual-comb spectroscopy. Science 354, 600–603 (2016).

    Article 
    ADS 

    Google Scholar
     

  • Shams-Ansari, A. et al. Thin-film lithium-niobate electro-optic platform for spectrally tailored dual-comb spectroscopy. Commun. Phys. 5, 88 (2022).

    Article 

    Google Scholar
     

  • Cundiff, S. T. & Weiner, A. M. Optical arbitrary waveform generation. Nat. Photonics 4, 760–766 (2010).

    Article 
    ADS 

    Google Scholar
     

  • Fülöp, A. et al. High-order coherent communications using mode-locked dark-pulse Kerr combs from microresonators. Nat. Commun. 9, 1598 (2018).

    Article 
    ADS 

    Google Scholar
     

  • Jørgensen, A. A. et al. Petabit-per-second data transmission using a chip-scale microcomb ring resonator source. Nat. Photonics 16, 798–802 (2022).

    Article 
    ADS 

    Google Scholar
     

  • Song, Y. Universal dynamics and microwave control of programmable resonant electro-optic frequency combs. figshare https://doi.org/10.6084/m9.figshare.31130746.v1 (2026).