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Universal dynamics and microwave control of programmable cavity electro-optic frequency combs

T0 review · 4 major / 3 minor · reviewed 2026-08-06 · deepseek-v4-flash

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Pith's one-line read Resonant electro-optic comb states are fully set by modulation depth and optical detuning, with sharp transitions at multiples of π, and engineered long-range couplings make the comb electronically programmable.

desk verdict Credible experimental demonstration of new EO comb states and multi-tone spectral shaping, but the universal state-space claim leans on an unproven companion model and extrapolated high-order transitions. read the letter →

arxiv 2507.21835 v2 pith:4MMU3UHV submitted 2025-07-29 physics.optics

Yunxiang Song , Tianqi Lei , Yanyun Xue , Andrea Cordaro , Michael Haas , Guanhao Huang , Xudong Li , Shengyuan Lu
show 8 more authors
Leticia Magalhaes Jiayu Yang Matthew Yeh Xinrui Zhu Neil Sinclair Qihuang Gong Yaowen Hu Marko Loncar
This is my paper · ORCID
classification physics.optics
keywords electro-opticfrequencycombcavitymodulationthin-filmlithiumniobatedepthopticaldetuninglong-rangecouplingmulti-tonemicrowavedriveflat-top
verification ladder T0 review T1 audit T2 compute T3 formal

The pith

A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.

The reading

Resonant electro-optic frequency combs, in which a microwave field drives sidebands inside an optical cavity, are usually treated as nearest-neighbor coupling between cavity modes. This paper argues that in the strong-modulation regime the full state space is governed by just two controls, the modulation depth $\beta_1$ and the optical detuning $\Delta_p$, and that increasing $\beta_1$ past integer multiples of $\pi$ abruptly switches the comb between qualitatively different spectra and pulse patterns. The same picture explains why pump-to-comb conversion efficiency revives at transition boundaries instead of monotonically falling, and it motivates engineering long-range couplings up to the seventh free-spectral-range harmonic. On that basis the authors demonstrate a four-tone drive that doubles the comb bandwidth at fixed microwave power and a microwave-detuning-induced boundary that flattens the spectrum across more than a hundred modes. If correct, a single chip can be reprogrammed electronically to serve as a repetition-rate-flexible, spectrally shaped comb source across wavelengths where other comb approaches struggle.

What carries the argument

The central object is a traveling-wave phase-modulated racetrack resonator on thin-film lithium niobate, described by an extended coupled-mode model in which each microwave harmonic at $n\,\omega_{\mathrm{FSR}}$ couples every cavity mode to modes $\pm n$ FSRs away, with complex amplitudes from the phase-modulation expansion. The two control parameters are the modulation depth $\beta_1 = \pi V_1/V_{\pi,1}$ and the optical detuning $\Delta_p = \omega_p - \omega_{\mu=0}$. The model's central mechanism is a collective resonance-oscillation picture: each resonance oscillates over a bandwidth $\Delta\omega_\mu = (\beta_1/2\pi)\,\omega_{\mathrm{FSR}}$, so comb existence and pulse number follow from whether these bands overlap, and transitions occur exactly when $\beta_1$ crosses integer multiples of $\pi$.

What would settle it

Sweep a single-tone drive's $\beta_1$ in fine steps through $2\pi$ and $4\pi$ with the pump on resonance, and through $\pi$, $3\pi$, and $5\pi$ with the pump at half-FSR detuning, recording the comb spectrum and total sideband power at each step: the central claim fails if the envelope-modulation transitions and conversion-efficiency revivals do not occur at integer multiples of $\pi$, or if they move when the cavity dispersion is deliberately changed.

Watch

Extended reading notes

Core claim

The central discovery is that the comb state of a strongly driven resonant cavity electro-optic system is set by two order parameters, modulation depth $\beta_1$ and optical detuning $\Delta_p$, and that the state boundaries are sharp. For a pump resonant with a cavity mode, the conventional two-pulse, exponentially decaying comb persists for $0 \leq \beta_1 < 2\pi$; once $\beta_1$ exceeds $2\pi$, coherent multi-path interference yields envelope-modulated spectra and six-pulse states, with another transition near $4\pi$ and pump-to-comb efficiency revivals at even multiples of $\pi$. For a pump placed halfway between resonances, comb formation requires $\beta_1 > \pi$, and four-pulse (eight-pulse) states occupy the $\pi$\textendash$3\pi$ ($3\pi$\textendash$5\pi$) windows. The paper further claims that multi-tone drives composing harmonics up to the seventh FSR create programmable long-range couplings: a four-tone square-wave-like drive produces 457 modes instead of 216 at the same microwave power, and a deliberate microwave detuning acts as a synthetic spectral boundary, giving flat-top combs with less than 6 dB variation over more than one hundred modes.

Load-bearing premise

The entire picture rests on an idealized coupled-mode model in which the cavity resonances stay evenly spaced and equally lossy (loss rate about $2\pi\cdot94$ MHz) across the full comb span; if dispersion or mode-dependent loss becomes significant over the 11\textendash20 THz bandwidths involved, the predicted transition thresholds, revivals, and engineered spectral shapes would shift.

Editorial extensions

If this is right

  • Comb states become electronically switchable: microwave power and tone pattern select two-pulse, four-pulse, six-pulse, or eight-pulse operation on demand.
  • Because constant $\beta_n$ at any harmonic $n$ gives the same dynamics, one device yields repetition rates of 16.75, 20.94, and 29.31 GHz with a conserved ~665-mode count.
  • A four-tone waveform with the same total microwave power as a single tone roughly doubles the comb span (216 to 457 modes) and halves the pulse width (5.7 to 2.9 ps).
  • Adding a microwave detuning of 10\textendash18 MHz creates a synthetic boundary that flattens the comb to below 6 dB variation over more than 100 modes; reproducing that flatness with a single tone would require a loaded quality factor above 9 million on the same device.
  • Once $\beta_1 > \pi$ the comb is detuning-agnostic, so a resonant EO comb can efficiently generate sidebands from widely spaced multi-wavelength sources without precise frequency matching.

Reading between the lines

Editorial extensions of the paper, not claims the author makes directly.

  • Not claimed by the paper: the same two-parameter threshold rule should hold for any synchronously driven cavity electro-optic system, including bulk or fiber-loop resonators, so the transition boundaries are a general prediction worth testing outside thin-film lithium niobate.
  • Because the frequency lattice's hopping terms are set by electronic amplitudes and phases, inverse design over tones could target arbitrary spectral envelopes, a step beyond the hand-picked square-wave waveform demonstrated here.
  • An untested extension of the threshold rule: pushing $\beta_1$ beyond the available microwave power should reveal eight-pulse states at zero detuning (above $4\pi$) and ten-pulse states at half-FSR detuning (above $5\pi$), with conversion-efficiency revivals at each boundary.
  • The synthetic-boundary trick suggests a frequency-domain analogue of a Fabry\textendash Perot cavity, where two microwave detunings could enclose a resonant band and selectively amplify particular comb lines; the paper only demonstrates a single boundary.
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Editorial analysis

A structured set of objections, weighed in public.

Desk editor's note, referee report, and a circularity audit.

Referee Report

4 major / 3 minor

Summary. The manuscript reports a combined experimental and numerical study of resonant electro-optic frequency combs in thin-film lithium niobate racetrack resonators. The central claim is that the comb state space is governed by two control parameters, modulation depth β1 and optical detuning Δp, with abrupt transitions at integer multiples of π, and that engineering long-range couplings up to the seventh FSR harmonic enables programmable spectral shaping. The paper demonstrates three technological outcomes: repetition-rate flexible combs, multi-tone bandwidth boosting, and resonantly-enhanced flat-top combs. The theoretical model used for the universal state-space claim is the extended coupled-mode model of the authors' companion preprint (ref 44) and the Supplementary Information, under stated idealizations of negligible integrated dispersion and uniform loss rate κ_i(e)≈2π·94 MHz.

Significance. If the universality claim holds, the work provides a substantial advance: it maps resonant EO comb states to a two-parameter space analogous to dissipative Kerr resonators, and it shows that multi-harmonic microwave drives can qualitatively reshape comb spectra and pulse trains. The experimental results include several genuinely independent checks: measured spectrograms agree well with simulations across the scanned β1 ranges, the pump-to-comb conversion efficiency revivals are confirmed at the first predicted transition, the total mode count is conserved at ~665 for n = 4, 5, and 7, and the multi-tone experiment shows a clear doubling of comb span and halving of pulse width. These are concrete, falsifiable predictions that lend credibility to the model. However, the paper's central model is not derived in the main text, and the experimentally accessed parameter range does not reach the higher-order predicted transitions (4π at zero detuning, 5π at half-FSR detuning), so the full universality statement is currently an extrapolation.

major comments (4)
  1. [Observation of unconventional comb and pulse states; Fig. 2 caption] The extended coupled-mode model that underlies the central universality claim is not derived or specified in the main text; it is deferred to ref 44 (a same-group preprint) and the Supplementary Information. The predictions that are advertised as central results, including the transition thresholds at multiples of π, the efficiency revivals, the scaling laws, and the Q > 9 million counterfactual, all follow from this model. Because the stated idealizations (negligible integrated dispersion, uniform κ_i(e)≈2π·94 MHz, constant loss across the comb) are acknowledged in the Fig. 2 caption, the manuscript should present the model equations and a quantitative assessment of how residual dispersion and frequency-dependent dissipation perturb the predicted thresholds. The paper's own observations of 'slight deviations in the form of spectral asymmetry' and 'frequency-dependent dissipation rate of the cavity' show that these neglected effects are not identically zero, but no analysis is given of whether they shift or smear the predicted 2π, 4π, π, and 3π boundaries.
  2. [Observation of unconventional and highly-detuned comb states; Fig. 2b, g] The experimental support for the universal periodic state space is limited to the first transition. At Δp = 0 the calibrated sweep ends at β1 = 2.863π, so only the 2π transition and the beginning of the 2π–4π regime are directly observed; the predicted 4π revival is not reached. At Δp = ω_FSR/2 the sweep ends at β1 = 3.052π, so the π threshold and the onset of the 3π regime are seen, but the predicted 5π transition and the eight-pulse regime are not measured. The sentence 'such revivals are confirmed in experiment' therefore applies only to the first revival in each detuning setting, and the full periodic structure at integer multiples of π is an extrapolation of an unverified model. The paper should either extend the measurements to cover the predicted higher-order transitions or explicitly delimit the universal claim to the range that is actually tested.
  3. [Observation of highly-detuned comb and pulse states] The method for determining Δp from counter-clockwise modes is described only in the Supplementary Information, yet the accuracy of Δp assignment is load-bearing for the claimed state boundaries and for the interpretation of the detuned spectrograms. The main text asserts that 'Δp can be accurately mapped by constantly observing the CCW band-structure, even up to the highest β1 attempted,' but no evidence for this accuracy is presented in the main text. Please include a calibration or cross-check of the detuning-mapping method, or at minimum state its uncertainty and how it propagates to the determined transition thresholds.
  4. [Repetition-rate flexible and broadband combs; Multi-tone comb boosting] Two quantitative claims that support the engineering advances are stated without derivation: the scaling law −(β_n F/2π)^{-1} for the mode count in the 0 ≤ β_n < 2π regime, and the counterfactual that emulating the flat-top spectrum with single-tone modulation would require a loaded Q exceeding 9 million. Both are deferred to the Supplementary Information. Since these are central to the claims of bandwidth flexibility, bandwidth doubling, and Q-relaxation, the derivations and the assumptions behind the Q > 9 million estimate should be summarized in the main text or, if space requires, the SI should be referenced in a way that makes the argument reproducible without locating a separate companion paper.
minor comments (3)
  1. [Discussion] In the last paragraph, 'It is worth nothing that' should read 'It is worth noting that'.
  2. [Fig. 2 caption] The regime boundaries are given as '0 ≤ β1 < 2π, 2π < β1 < 4π, and β1 > 4π', which leaves the exact point β1 = 2π unclassified; using consistent half-open intervals, such as 0 ≤ β1 < 2π and 2π ≤ β1 < 4π, would remove the ambiguity.
  3. [Repetition-rate flexible and broadband combs] The statement that the number of comb modes is constant (~665) should specify the counting criterion (e.g., power threshold relative to the noise floor or to the pump), since the measured mode count depends on the dynamic range of the detection.

Circularity Check

0 steps flagged · score 0.0 of 10

No significant circularity: predictions follow from a documented model with measured device parameters and are independently checked against experiment.

full rationale

The paper's derivation chain is self-contained rather than circular. The central coupled-mode model is described in the Supplementary Information and cited to the authors' companion work (ref 44), but the present paper provides simulation details and, crucially, tests the model against independent measurements. The key predictions—spectral transitions at β1=2π and 4π for zero detuning and at β1=π, 3π, 5π for half-FSR detuning—are computed from measured device parameters (Vπ, FSR, intrinsic and extrinsic loss rates, pump power normalization) rather than fitted to the output spectra. The conversion-efficiency revivals are predicted as a function of β1 without adjustable spectral shape parameters and are confirmed by summing measured sideband powers. The multi-tone bandwidth-doubling and flat-top demonstrations are model-guided designs verified experimentally, not fitted values renamed as predictions. The only self-referential elements are the citation of the companion model and the Fig. 3 calibration of βn via the model's existence-range-merging criterion; neither reduces a prediction to an input by construction. The observed 2π and π transitions provide independent confirmation of the model's central thresholds, so the self-citation is corroborated rather than load-bearing. No equation-level or definition-level circularity is found.

Assumptions & free parameters 1 free parameters · 5 assumptions · 0 invented entities

The quantitative conclusions rely on a theoretical model that is not fully contained in this manuscript: the universal coupled-mode model appears in the authors' companion preprint ref [44], and the scaling laws are in the SI. The only hand-chosen numbers that materially affect the demonstrations are the multi-tone drive amplitudes and phases (a brick-wall filtered square wave approximation) and the boundary detuning values, which are operating points rather than fitted parameters. The main assumptions are ideal dispersion-free, loss-uniform cavity behavior, the accuracy of the CCW-based detuning measurement, and the interpretation of microwave detuning as synthetic dispersion.

free parameters (1)
  • Multi-tone drive amplitudes and phases (V1', V3', V5', V7', with phases π/2) = 6.46, 2.15, 1.29, 0.92 V; V2', V4', V6' set to 0
    Hand-selected to approximate a brick-wall filtered square wave; the bandwidth-doubling and flat-top demonstrations depend on this specific choice, and no optimization procedure is given in the main text.
assumptions (5)
  • ad hoc to paper The universal coupled-mode model of ref [44]/SI is an exact description of the resonant EO system for all coupling orders and parameter ranges used.
    The model is cited to the authors' own companion preprint and is the source of the simulated spectrograms, transition thresholds, scaling laws, and the Q>9M counterfactual; it is not independently validated in this manuscript.
  • domain assumption Integrated dispersion is negligible over the full comb bandwidths considered (up to about 20 THz).
    Stated in the Fig. 2 caption ('negligible integrated dispersion over the relevant comb bandwidths') and implicitly assumed for the state classification and scaling-law derivations.
  • domain assumption The CCW-mode pump detuning spectroscopy method gives the true pump-to-cavity detuning at all modulation depths.
    Introduced in the SI and used to assign Δp=ωFSR/2 in the detuned experiments; a failure would misassign the observed states to the wrong detuning regimes.
  • domain assumption A microwave detuning ΔMW acts as an equivalent synthetic linear dispersion that creates reflecting boundaries in the frequency lattice.
    Used to explain flat-top comb formation; the boundary-reflection mechanism is inferred, not directly measured.
  • domain assumption The traveling-wave EO modulation is pure phase modulation with flat, linear response across the used harmonics (up to about 33.5 GHz at -3 dB).
    Standard for EO modulators; underpins the multi-tone waveform syntheses and the calibration of β_n from voltages.

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Pith. "Pith review of Universal dynamics and microwave control of programmable cavity electro-optic frequency combs." pith.science (2026). https://pith.science/paper/4MMU3UHV

@misc{pith2026250721835,
  author       = {Pith},
  title        = {Pith review of: Universal dynamics and microwave control of programmable cavity electro-optic frequency combs},
  year         = {2026},
  howpublished = {\url{https://pith.science/paper/4MMU3UHV}},
  note         = {Machine review of arXiv:2507.21835}
}
read the original abstract

Electro-optic (EO) frequency combs are foundational for metrology and spectroscopy. Specifically, microresonator-based cavity EO combs are distinguished by efficient sideband generation, precisely controlled by microwave signals, enabling high-performance integrated frequency references and pulse sources. However, the apparent simplicity of these devices, often described by the EO modulation-induced coupling of nearest-neighbor cavity modes, has limited investigations of their fundamental physics, thereby restricting their full potential. Here, we uncover the universal dynamics and complete frequency lattice connectivity underpinning cavity EO microcombs, as well as characterize the full space of nonlinear optical states, controlled by modulation depth and optical detuning, using the thin-film lithium niobate photonic platform. Leveraging this understanding, we design complex long-range couplings between cavity modes to realize programmable spectro-temporal shaping of the generated combs and pulses. We achieve three technological advances, including repetition-rate flexibility, substantial comb bandwidth extension beyond traditional scaling laws, and resonantly-enhanced flat-top spectrum. Our results provide physical insights for synchronously driven cavity-based EO systems, broadly defined, paving the way for electrically controlled and electrically enhanced comb generators for next-generation photonic applications.

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Forward citations

Cited by 2 Pith papers

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Works this paper leans on

81 extracted references · 76 canonical work pages · cited by 2 Pith papers

  1. [1]

    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)

    2014

  2. [2]

    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)

    work page 2017

  3. [3]

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

    work page 2017

  4. [4]

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

    work page 2018

  5. [5]

    Moille, G. et al. Kerr-induced synchronization of a cavity soliton to an optical reference. Nature 624, 267–274 (2023)

    work page 2023

  6. [6]

    & Weiner, A

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

    work page 2014

  7. [7]

    & Millot, G

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

    work page 2020

  8. [8]

    & Bowers, J

    Chang, L., Liu, S. & Bowers, J. E. Integrated optical frequency comb technologies. Nat. Photonics 16, 95–108 (2022)

    work page 2022

Show all 81 references
  1. [9]

    J., Torres-Company, V ., Leaird, D

    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)

    2013

  2. [10]

    & Matsuo, Y

    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)

    1972

  3. [11]

    & Kahn, J

    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). 10

    1993

  4. [12]

    & Ohtsu, M

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

    1994

  5. [13]

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

    1998

  6. [14]

    & Kahn, J

    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)

    2020

  7. [15]

    & Ohtsu, M

    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)

    1993

  8. [16]

    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)

    2008

  9. [17]

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

    2021

  10. [18]

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

    2021

  11. [19]

    Englebert, N. et al. Bloch oscillations of coherently driven dissipative solitons in a synthetic dimension. Nat. Phys. 19, 1014–1021 (2023)

    2023

  12. [20]

    & Alù, A

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

    2025

  13. [21]

    & Hänsch, T

    Udem, Th., Reichert, J., Holzwarth, R. & Hänsch, T. W. Absolute Optical Frequency Measurement of the Cesium D 1 Line with a Mode-Locked Laser. Phys. Rev. Lett. 82, 3568– 3571 (1999). 11

    1999

  14. [22]

    Jones, D. J. et al. Carrier-Envelope Phase Control of Femtosecond Mode-Locked Lasers and Direct Optical Frequency Synthesis. Science 288, 635–639 (2000)

    2000

  15. [23]

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

    2007

  16. [24]

    Okawachi, Y . et al. Octave-spanning frequency comb generation in a silicon nitride chip. Opt. Lett. 36, 3398 (2011)

    2011

  17. [25]

    Herr, T. et al. Temporal solitons in optical microresonators. Nat. Photonics 8, 145–152 (2014)

    2014

  18. [26]

    Herr, T. et al. Universal formation dynamics and noise of Kerr-frequency combs in microresonators. Nat. Photonics 6, 480–487 (2012)

    2012

  19. [27]

    G., Sylvestre, T

    Coen, S., Randle, H. G., Sylvestre, T. & Erkintalo, M. Modeling of octave-spanning Kerr frequency combs using a generalized mean-field Lugiato–Lefever model. Opt. Lett. 38, 37 (2013)

    2013

  20. [28]

    Lamont, M. R. E., Okawachi, Y . & Gaeta, A. L. Route to stabilized ultrabroadband microresonator-based frequency combs. Opt. Lett. 38, 3478 (2013)

    2013

  21. [29]

    Chembo, Y . K. & Menyuk, C. R. Spatiotemporal Lugiato-Lefever formalism for Kerr-comb generation in whispering-gallery-mode resonators. Phys. Rev. A 87, 053852 (2013)

    2013

  22. [30]

    Guo, H. et al. Universal dynamics and deterministic switching of dissipative Kerr solitons in optical microresonators. Nat. Phys. 13, 94–102 (2017)

    2017

  23. [31]

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

    2021

  24. [32]

    Boes, A. et al. Lithium niobate photonics: Unlocking the electromagnetic spectrum. Science 379, eabj4396 (2023). 12

    2023

  25. [33]

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

    2022

  26. [34]

    Herrmann, J. F. et al. Mirror symmetric on-chip frequency circulation of light. Nat. Photonics 16, 603–608 (2022)

    2022

  27. [35]

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

    2024

  28. [36]

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

    2024

  29. [37]

    Hu, Y . et al. Integrated lithium niobate photonic computing circuit based on efficient and high-speed electro-optic conversion. Preprint at https://doi.org/10.48550/arXiv.2411.02734 (2024)

    2024 doi arXiv

  30. [38]

    Song, Y . et al. Integrated electro-optic digital-to-analog link for efficient computing and arbitrary waveform generation. Preprint at https://doi.org/10.48550/arXiv.2411.04395 (2024)

    2024 doi arXiv

  31. [39]

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

    2019

  32. [40]

    & Loncar, M

    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)

    2020

  33. [41]

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

    2022

  34. [42]

    V ., Coillet, A

    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). 13

    2014

  35. [43]

    Stokowski, H. S. et al. Integrated frequency-modulated optical parametric oscillator. Nature 627, 95–100 (2024)

    2024

  36. [44]

    Lei, T. et al. Strong-coupling and high-bandwidth cavity electro-optic modulation for advanced pulse-comb synthesis. Preprint at https://arxiv.org/abs/2507.21855 (2025)

    2025 arXiv

  37. [45]

    Karpov, M., Pfeiffer, M. H. P., Liu, J., Lukashchuk, A. & Kippenberg, T. J. Photonic chip- based soliton frequency combs covering the biological imaging window. Nat. Commun. 9, 1146 (2018)

    2018

  38. [46]

    Isichenko, A. et al. Photonic integrated beam delivery for a rubidium 3D magneto-optical trap. Nat. Commun. 14, 3080 (2023)

    2023

  39. [47]

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

    2017

  40. [48]

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

    2023

  41. [49]

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

    2016

  42. [50]

    Li, Q. et al. Stably accessing octave-spanning microresonator frequency combs in the soliton regime. Optica 4, 193 (2017)

    2017

  43. [51]

    Pfeiffer, M. H. P. et al. Octave-spanning dissipative Kerr soliton frequency combs in Si_3N_4 microresonators. Optica 4, 684 (2017)

    2017

  44. [52]

    Liu, X. et al. Aluminum nitride nanophotonics for beyond-octave soliton microcomb generation and self-referencing. Nat. Commun. 12, 5428 (2021)

    2021

  45. [53]

    Weng, H. et al. Directly accessing octave-spanning dissipative Kerr soliton frequency combs in an AlN microresonator. Photonics Res. 9, 1351 (2021). 14

    2021

  46. [54]

    Wang, P.-Y. et al. Octave soliton microcombs in lithium niobate microresonators. Opt. Lett. 49, 1729 (2024)

    2024

  47. [55]

    & Lončar, M

    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)

    2024

  48. [56]

    Drake, T. E. et al. Terahertz-Rate Kerr-Microresonator Optical Clockwork. Phys. Rev. X 9, 031023 (2019)

    2019

  49. [57]

    & Yang, K

    Song, Y ., Hu, Y ., Lončar, M. & Yang, K. Hybrid Kerr-electro-optic frequency combs on thin- film lithium niobate. Preprint at http://arxiv.org/abs/2402.11669 (2024)

    2024 arXiv

  50. [58]

    Lei, T. et al. Strong-coupling and high-bandwidth cavity electro-optic modulation for machine-learning-enabled pulse-comb synthesis. Submitted

  51. [59]

    Zhang, M. et al. Electronically programmable photonic molecule. Nat. Photonics 13, 36–40 (2019)

    2019

  52. [60]

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

    2021

  53. [61]

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

    2022

  54. [62]

    Ling, J. et al. Electrically empowered microcomb laser. Nat. Commun. 15, 4192 (2024)

    2024

  55. [63]

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

    2020

  56. [64]

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

    2023

  57. [65]

    C., Carlson, D

    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). 15

    2023

  58. [66]

    & Srinivasan, K

    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)

    2023

  59. [67]

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

    2023

  60. [68]

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

    2017

  61. [69]

    Molesky, S. et al. Inverse design in nanophotonics. Nat. Photonics 12, 659–670 (2018)

    2018

  62. [70]

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

    2024

  63. [71]

    & Vahala, K

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

    2018

  64. [72]

    Y ., Yi, X

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

    2016

  65. [73]

    Yi, X., Yang, Q.-F., Yang, K. Y . & Vahala, K. Imaging soliton dynamics in optical microcavities. Nat. Commun. 9, 3565 (2018)

    2018

  66. [74]

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

    2022

  67. [75]

    A., Stone, J

    Long, D. A., Stone, J. R., Sun, Y ., Westly, D. & Srinivasan, K. Sub-Doppler spectroscopy of quantum systems through nanophotonic spectral translation of electro-optic light. Nat. Photonics (2024) doi:10.1038/s41566-024-01532-w

    2024 doi

  68. [76]

    Cundiff, S. T. & Weiner, A. M. Optical arbitrary waveform generation. Nat. Photonics 4, 760–766 (2010). 16

    2010

  69. [77]

    Wang, B., Yang, Z., Sun, S. & Yi, X. Radio-frequency line-by-line Fourier synthesis based on optical soliton microcombs. Photonics Res. 10, 932 (2022)

    2022

  70. [78]

    Marin-Palomo, P. et al. Microresonator-based solitons for massively parallel coherent optical communications. Nature 546, 274–279 (2017)

    2017

  71. [79]

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

    2018

  72. [80]

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

    2022

  73. [81]

    Rizzo, A. et al. Massively scalable Kerr comb-driven silicon photonic link. Nat. Photonics 17, 781–790 (2023). 17 Acknowledgements: Y .S. thanks Nicholas Achuthan, Rebecca Cheng, Tong Ge, Brandon Grinkemeyer, Jingchao Fang, Prof. Evelyn Hu, Keith Powell, Shima Rajabali, Dylan ...

    2023

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