Abstract
Dissipative solitons and their frequency combs hold great potential for applications in optical communications, spectroscopy, precision time-keeping and beyond. Recent demonstrations based on the combination of second-harmonic generation and degenerate optical parametric oscillators (OPOs) show the interest in shifting soliton spectra away from the telecom’s C-band pump sources. However, these approaches lack the tunability offered by nondegenerate OPOs. This work presents a proof-of-principle demonstration of solitons in a nondegenerate OPO system based on a silicon-nitride microresonator, with engineered dispersion and optimised coupling rates. By pumping a relatively low-Q resonance in the C-band, we excite a signal soliton comb centred around a far-detuned, high-Q, O-band resonance, as well as repetition-rate-locked combs at the pump and idler frequencies, with the latter occurring at a wavelength beyond 2 μm. The solitons supported by this platform — hyperparametric solitons — are distinct from other families of dissipative solitons, as they emerge when the narrow-band signal mode, phase-matched under negative pump detuning, reaches sufficient power to drive bistability in the parametric signal. We investigate the properties of hyperparametric solitons, including their parametrically generated background and multisoliton states, both experimentally and through theoretical modelling.
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The raw data comprise high-volume measurements that require specialist processing and are not deposited in a public repository but can be made available from the corresponding authors upon request.
References
Pasquazi, A. et al. Micro-combs: a novel generation of optical sources. Phys. Rep. 729, 1 (2018).
Kippenberg, T. J., Gaeta, A. L., Lipson, M. & Gorodetsky, M. L. Dissipative Kerr solitons in optical microresonators. Science 361, 567 (2018).
Diddams, S. A., Vahala, K. & Udem, T. Optical frequency combs: coherently uniting the electromagnetic spectrum. Science 369, eaay3676 (2020).
Chang, L., Liu, S. T. & Bowers, J. E. Integrated optical frequency comb technologies. Nat. Photonics 16, 95–108 (2022).
Li, Q. et al. Stably accessing octave-spanning microresonator frequency combs in the soliton regime. Optica 4, 193–203 (2017).
Pfeiffer, M. H. P. et al. Octave-spanning dissipative Kerr soliton frequency combs in Si3N4 microresonators. Optica 4, 684–691 (2017).
Song, Y., Hu, Y., Zhu, X., Yang, K. & Lončar, M. Octave-spanning Kerr soliton frequency combs in dispersion- and dissipation-engineered lithium niobate microresonators. Light Sci. Appl. 13, 225 (2024).
Zhang, S., Silver, J. M., Bi, T. & Del’Haye, P. Spectral extension and synchronization of microcombs in a single microresonator. Nat. Commun. 11, 6384 (2020).
Moille, G. et al. Ultra-broadband Kerr microcomb through soliton spectral translation. Nat. Commun. 12, 7275 (2021).
Moille, G. et al. Versatile optical frequency division with Kerr-induced synchronization at tunable microcomb synthetic dispersive waves. Nat. Photonics 19, 36–43 (2025).
Zhang, S. et al. Dark-bright soliton bound states in a microresonator. Phys. Rev. Lett. 128, 033901 (2022).
Yang, Q.-F., Yi, S., Yang, K. Y. & Vahala, K. Stokes solitons in optical microcavities. Nat. Phys. 13, 53–57 (2017).
Tan, T. et al. Multispecies and individual gas molecule detection using stokes solitons in a graphene over-modal microresonator. Nat. Commun. 12, 6716 (2021).
Menyuk, C. R., Shandilya, P., Courtright, L., Moille, G. & Srinivasan, K. Multi-color solitons and frequency combs in microresonators. Opt. Express 33, 21824 (2025).
He, Y. et al. Self-starting bi-chromatic LiNbO3 soliton microcomb. Optica 6, 1138–1144 (2019).
Lu, J., Puzyrev, D. N., Pankratov, V. V. et al. Two-colour dissipative solitons and breathers in microresonator second-harmonic generation. Nat. Commun. 14, 2798 (2023).
Kippenberg, T. J., Spillane, S. M. & Vahala, K. J. Kerr-nonlinearity optical parametric oscillation in an ultrahigh-Q toroid microcavity. Phys. Rev. Lett. 93, 083904 (2004).
Levy, J. S. et al. CMOS-compatible multiple-wavelength oscillator for on-chip optical interconnects. Nat. Photonics 4, 37–40 (2010).
Razzari, L. et al. CMOS-compatible integrated optical hyper-parametric oscillator. Nat. Photonics 4, 41–45 (2010).
Sayson, N. L. B. et al. Octave-spanning tunable parametric oscillation in crystalline kerr microresonators. Nat. Photonics 13, 701–706 (2019).
Fujii, S. et al. Octavewide phase-matched four-wave mixing in dispersion engineered crystalline microresonators. Opt. Lett. 44, 3146–3149 (2019).
Perez, E. F. et al. High-performance Kerr microresonator optical parametric oscillator on a silicon chip. Nat. Commun. 14, 242 (2023).
Pidgayko, D. et al. Voltage-tunable optical parametric oscillator with an alternating dispersion dimer integrated on a chip. Optica 10, 1582–1586 (2023).
Lu, X. et al. Milliwatt-threshold visible-telecom optical parametric oscillation using silicon nanophotonics. Optica 6, 1535–1541 (2019).
Okawachi, Y. et al. Demonstration of chip-based coupled degenerate optical parametric oscillators for realizing a nanophotonic spin-glass. Nat. Commun. 11, 4119 (2020).
Ledezma, L. et al. Octave-spanning tunable infrared parametric oscillators in nanophotonics. Sci. Adv. 9, eadf9711 (2023).
Hwang, A. Y. et al. Mid-infrared spectroscopy with a broadly tunable thin-film lithium niobate optical parametric oscillator. Optica 10, 1535–1542 (2023).
Zhao, Y. et al. Large regenerative parametric amplification on chip at ultra-low pump powers. Optica 10, 819–825 (2023).
Zhao, P. et al. Ultra-broadband optical amplification using nonlinear integrated waveguides. Nature 640, 918–923 (2025).
Tang, Y., Gong, Z., Liu, X. & Tang, H. X. Widely separated optical Kerr parametric oscillation in AlN microrings. Opt. Lett. 45, 1124–1127 (2020).
Bruch, A. W. et al. Pockels soliton microcomb. Nat. Photonics 15, 21–27 (2021).
Englebert, N. et al. Parametrically driven Kerr cavity solitons. Nat. Photonics 15, 857–861 (2021).
Moille, G. et al. Parametrically driven pure-Kerr temporal solitons in a chip-integrated microcavity. Nat. Photonics 18, 617–624 (2024).
Longhi, S. et al. Localized structures in optical parametric oscillation. Phys. Scr. 56, 611–618 (1997).
Staliunas, K. & Sanchez-Morcillo, V. J. Localized structures in degenerate optical parametric oscillators. Opt. Commun. 139, 306–312 (1997).
Trillo, S. & Haelterman, M. Excitation and bistability of self-trapped signal beams in optical parametric oscillators. Opt. Lett. 23, 1514–1516 (1998).
Skryabin, D. V. & Firth, W. J. Interaction of cavity solitons in degenerate optical parametric oscillators. Opt. Lett. 24, 1056–1058 (1999).
Miles, J. W. Parametrically excited solitary waves. J. Fluid Mech. 148, 451 (1984).
Fauve, S. & Thual, O. Solitary waves generated by subcritical instabilities in dissipative systems. Phys. Rev. Lett. 64, 282 (1990).
Barashenkov, I. V., Bogdan, M. M. & Korobov, V. I. Stability diagram of the phase-locked solitons in the parametrically driven, damped nonlinear Schrödinger equation. Europhys. Lett. 15, 113–118 (1991).
Skryabin, D. V., Champneys, A. R. & Firth, W. J. Frequency selection by soliton excitation in nondegenerate intracavity down-conversion. Phys. Rev. Lett. 84, 463 (2000).
de Valcárcel, G. J., Roldán, E. & Staliunas, K. Cavity solitons in nondegenerate optical parametric oscillation. Opt. Commun. 181, 207 (2000).
Matsko, A. B. Hyperparametric frequency noise eater. Phys. Rev. A. 99, 023843 (2019).
Stone, J. R., Moille, G., Lu, X. & Srinivasan, K. Conversion efficiency in kerr-microresonator optical parametric oscillators: from three modes to many modes. Phys. Rev. Appl. 17, 024038 (2022).
Yang, J. et al. Coherent satellites in multispectral regenerative frequency microcombs. Commun. Phys. Vol. 3, 27 (2020).
Matsko, A. B., Savchenkov, A. A., Huang, S.-W. & Maleki, L. Clustered frequency comb. Opt. Lett. 41, 5102–5105 (2016).
Sayson, N. L. B. et al. Origins of clustered frequency combs in Kerr microresonators. Opt. Lett. 43, 4180–4183 (2018).
Ji, X. et al. Efficient mass manufacturing of high-density, ultra-low-loss Si3N4 photonic integrated circuits. Optica 11, 1397–1407 (2024).
Moille, G. et al. Broadband resonator-waveguide coupling for efficient extraction of octave-spanning microcombs. Opt. Lett. 44, 4737–4740 (2019).
Wang, J. et al. Highly tunable flat-top thin-film lithium niobate electro-optic frequency comb generator with 148 comb lines. Opt. Express 33, 23431–23439 (2025).
Zhang, S. et al. Sub-milliwatt-level microresonator solitons with extended access range using an auxiliary laser. Optica 6, 206–212 (2019).
Yu, M. et al. Breather soliton dynamics in microresonators. Nat. Commun. 8, 14569 (2017).
Afridi, A. A. et al. Breather solitons in AlN microresonators. Opt. Contin. 1, 42–50 (2022).
Cole, D. C., Lamb, E. S. & Del’Haye, P. et al. Soliton crystals in Kerr resonators. Nat. Photonics 11, 671–676 (2017).
Karpov, M., Pfeiffer, M. H. P. & Guo, H. et al. Dynamics of soliton crystals in optical microresonators. Nat. Phys. 15, 1071–1077 (2019).
Fan, Z., Puzyrev, D. N. & Skryabin, D. V. Topological soliton metacrystals. Commun. Phys. 5, 248 (2022).
Englebert, N., Gray, R. M., Ledezma, L. & Marandi, A. Topological soliton formation in a nanophotonic optical parametric oscillator. in CLEO 2024 Technical Digest Series (Optica Publishing Group, 2024), paper FW4M.6.
Mittal, S. et al. Topological frequency combs and nested temporal solitons. Nat. Phys. 17, 1169–1176 (2021).
Flower, C. J. et al. Observation of topological frequency combs. Science 384, 1356–1361 (2024).
Sun, Y. et al. Parametrically driven Kerr temporal soliton crystals. https://arxiv.org/abs/2504.04788 (2025).
Malik, A. et al. Widely tunable, heterogeneously integrated quantum-dot O-band lasers on silicon. Photonics Res. 8, 1551–1557 (2020).
Chembo, Y. K. & Yu, N. Modal expansion approach to optical-frequency-comb generation with monolithic whispering-gallery-mode resonators. Phys. Rev. A. 82, 033801 (2010).
Herr, T. et al. Temporal solitons in optical microresonators. Nat. Photonics 8, 145–152 (2014).
Skryabin, D. V. Hierarchy of coupled mode and envelope models for bi-directional microresonators with Kerr nonlinearity. OSA Contin. 3, 1364–1375 (2020).
Guo, X. et al. Efficient Generation of a Near-visible Frequency Comb via Cherenkov-like Radiation from a Kerr Microcomb. Phys. Rev. Appl. 10, 014012 (2018).
Acknowledgements
This work was supported by a joint project between Research Ireland (SFI Grant No. 23/EPSRC/3920) and the UK Engineering and Physical Sciences Research Council (EPSRC Grant No. EP/X040844/1). Other support was received from CONNECT Centre (Grant No. 13/RC/2077.P2), the Royal Society (Grant No. IES/R3/223225), and Leading Innovation and Entrepreneurship Teams of Zhejiang (Grant No. 2023R01011).
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H.W. performed the device design and measurements with the assistance from M.A., E.H.K., L.W., V.K., Q.W. and W.G. X.J. and T.J.K. fabricated the microresonators. D.V.S. developed theory and performed numerical simulations of OPO operation and solitons. H.W., J.F.D. and D.V.S. wrote the manuscript text. D.V.S. and J.F.D. conceptualised and supervised the project. All authors commented on the manuscript.
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Weng, H., Ji, X., Ali, M. et al. Hyperparametric solitons in nondegenerate optical parametric oscillators. Nat Commun (2026). https://doi.org/10.1038/s41467-026-70122-x
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DOI: https://doi.org/10.1038/s41467-026-70122-x


