The reviewed record of science sign in
Pith

arxiv: 2607.06406 · v1 · pith:IJXC55ML · submitted 2026-07-07 · physics.optics

Bright solitons in hybrid-dispersion photonic crystal microresonators

Alexander E. Ulanov , Lukas Bengel , Bastian Ruhnke , Alexandra Sakharova , Tobias Herr This is my paper

Reviewed by Pith T0 review T1 audit T2 compute T3 formal T4 kernel 2026-07-08 06:48 UTCglm-5.2pith:IJXC55MLrecord.jsonopen to challenge →

classification physics.optics
keywords dispersionhybrid-dispersionphotonicsolitonsattractorbrightbroadbandconflicting
0
0 comments X

The pith

Hybrid dispersion breaks soliton trade-off in microresonators

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

Dissipative Kerr solitons in optical microresonators face a fundamental tension: weak dispersion gives broadband spectra but unpredictable multi-soliton states, while strong dispersion gives clean single-soliton initiation but narrow spectra. This paper resolves that conflict by engineering a resonator with two dispersion regimes at once — weak everywhere except in a narrow spectral window around the pump, where a corrugation pattern creates strong local dispersion. The strong local dispersion controls how the soliton forms, forcing deterministic single-soliton initiation, while the weak global dispersion governs the final broadband state. The authors show that this hybrid landscape produces a previously unknown attractor: a backward-propagating soliton that lives in the blue-detuned (thermally stable) regime, forms without the abrupt power drop that complicates conventional soliton generation, and operates at only 60 mW of pump power. They derive analytic existence boundaries for both forward- and backward-propagating solitons in the long-cavity limit, confirm them with bifurcation analysis, and demonstrate the full behavior experimentally in a 25 GHz silicon nitride photonic crystal resonator.

Core claim

The central object is the hybrid-dispersion photonic crystal microresonator, in which a localized strong-dispersion section (characterized by D'2 and a pump-mode frequency shift gamma_0) is embedded in an otherwise weakly dispersive cavity (characterized by D2). The key mechanism is the decoupling of soliton initiation from the final soliton state: D'2 governs the onset of oscillation and single-soliton selection near the pump, while D2 and gamma_0 define the broadband soliton that ultimately forms. This decoupling gives rise to a new attractor — a backward-propagating dissipative Kerr soliton existing in the blue-detuned regime, bounded by the analytic condition (Eq. 4) f * zeta_0 * |beta_0

What carries the argument

The paper's argument rests on three layers. First, coupled-mode equations (Eqs. 1) simulate the full FWD-BWD dynamics with cross-phase modulation and linear backscattering, using experimental parameters (d2=0.006, d'2=0.9, beta_0=9.2, f=2.8). Second, a bifurcation analysis on the stationary Lugiato-Lefever formulation (Eqs. 2) maps soliton existence regions in the detuning-pump plane via continuation. Third, perturbation theory in the long-cavity limit (ell -> infinity) with small damping (epsilon << 1) yields closed-form existence boundaries: Eq. 3 for FWD solitons and Eq. 4 for BWD solitons, each depending only on the central coupling beta_0, detuning zeta_0, and pump f. The perturbative S

Load-bearing premise

The analytic existence boundaries and the decoupling argument (that D'2 controls initiation while D2 and gamma_0 define the final soliton) are derived in the long-cavity limit with perturbation theory for small damping. The paper states this is equivalent to full damping at large detuning and pump power via scaling laws, but does not explicitly verify that the experimental parameters fall within the regime where this approximation is quantitatively valid. The agreement with

What would settle it

If the BWD soliton attractor does not persist when the corrugation amplitude (and hence gamma_0) is varied independently of D'2, or if the blue-detuned operation cannot be reproduced outside the specific 25 GHz FSR regime tested, the generality of the hybrid-dispersion approach would be undermined.

read the original abstract

Bright dissipative Kerr solitons in optical microresonators provide chip-scale sources of ultrashort pulses and frequency combs. Their properties are defined by the cavity dispersion for which fundamentally conflicting requirements exist: short pulses and broadband spectra require weak dispersion, whereas strong dispersion is associated with predictable dynamics. Here, we resolve this conflict by introducing a localized strong-dispersion section spanning several modes around the pump resonance within an otherwise weakly dispersive system. We implement this hybrid-dispersion scheme in a photonic crystal microresonator and reveal a new soliton attractor of backward-propagating solitons, accessible at low pump power in a thermally stable manner within the blue-detuned regime. The conflicting requirements for broadband spectra and low-noise single-soliton formation are reconciled, even in microwave-repetition-rate resonators, which otherwise are prone to uncontrollable multi-soliton formation. These results highlight the potential to achieve previously incompatible characteristics in nonlinear photonic systems through hybrid-dispersion attractor shaping.

Editorial analysis

A structured set of objections, weighed in public.

Desk editor's note, referee report, simulated authors' rebuttal, and a circularity audit. Tearing a paper down is the easy half of reading it; the pith above is the substance, this is the friction.

Referee Report

1 major / 6 minor

Summary. This manuscript introduces the concept of hybrid dispersion in photonic crystal microresonators, combining globally weak dispersion (D2) with strong localized dispersion (D'2) around the pump mode. The authors demonstrate, through coupled-mode simulations (1024 equations), numerical bifurcation analysis (pde2path), analytic perturbation theory yielding closed-form existence boundaries (Eqs. 3–4), and experimental measurements, that this dispersion landscape gives rise to a new attractor of backward-propagating dissipative Kerr solitons. These solitons are accessible at low pump power (60 mW) in the thermally stable blue-detuned regime, exhibit step-free initiation, and operate at a 25 GHz repetition rate. The experimental results qualitatively match the simulations, including the absence of a soliton step and the confirmation of effective blue detuning via nonlinear dispersion relation reconstruction.

Significance. The paper addresses a genuine and well-motivated conflict in microresonator Kerr comb design: weak dispersion is needed for broadband spectra, while strong dispersion is needed for deterministic initiation. The hybrid-dispersion approach resolves this within a single device. Key strengths include: (1) closed-form, parameter-free existence boundaries (Eqs. 3–4) derived via perturbation theory in the long-cavity limit, which depend only on beta_0 and d2 and are validated against full numerical bifurcation analysis at experimental parameters; (2) a three-step continuation algorithm using pde2path for systematic bifurcation analysis of the coupled FWD-BWD system; (3) experimental demonstration including optical spectra, phase noise measurements (-110 dBc/Hz at 10 kHz offset), and direct reconstruction of the nonlinear dispersion relation confirming blue-detuned operation. The decoupling argument — that D'2 controls initiation while D2 and gamma_0 define the final soliton state — is a testable design principle that, if verified, would be broadly useful. The work is outside the current consensus in the sense that blue-detuned bright DKS in low-D2 microwave-repetition-rate resonators has,

major comments (1)
  1. Conclusion paragraph: The decoupling argument — that D'2 controls initiation while D2 and gamma_0 define the final soliton state — is a central design principle of the paper. The existence boundaries (Eqs. 3–4) depend only on beta_0 and d2, not on d'2, which is consistent with decoupling. However, this is not explicitly verified by varying d'2 in the bifurcation analysis (Fig. 2e–f) while holding other parameters fixed. A single additional bifurcation computation at a different d'2 value (e.g., d'2 = 0.5 or 1.5), overlaid on Fig. 2e–f, would directly test whether the existence boundaries shift and would substantially strengthen the load-bearing claim. Without this, the decoupling remains an assertion supported by the analytic formulas but not independently confirmed by the numerics.
minor comments (6)
  1. Fig. 2e–f: The yellow dot marking state 2 from panel (c) is referenced but its exact coordinates (f, detuning) are not stated in the caption or text. Adding these values would help readers verify that the operating point falls within the predicted existence region.
  2. Methods, Eq. (1): The simulation uses 512 FWD + 512 BWD modes (1024 total), but the main text refers to '1024 coupled-mode equations.' Both are correct but the phrasing could be unified to avoid confusion (equations vs. mode pairs).
  3. SI, Section 1.1: The scaling argument relating the epsilon << 1 perturbative regime to the physical epsilon = 1 case is concise but could benefit from an explicit statement of the rescaled parameter values corresponding to the experimental conditions (d2=0.006, d'2=0.9, beta_0=9.2, f=2.8), so readers can directly assess the asymptotic regime's validity.
  4. Fig. 1e: The measured Dint plot shows both native (dark blue) and modified (orange) resonances, but the D'2 parabola fit is not explicitly overlaid. A fit line would make the extracted D'2/2π ≈ 20 MHz value more transparent.
  5. Fig. 3a: The comb power traces show qualitative agreement with simulation (Fig. 2a), but the detuning axis is not calibrated in units of kappa/2 as in the simulation figure. Adding this calibration would facilitate direct comparison between simulation and experiment.
  6. Reference 3 (Herr et al., arXiv:2604.05897) and several others (Refs. 7, 17, 26) are dated 2026 and appear to be preprints. The authors should verify these references are correctly cited and update them if they have been accepted.

Simulated Author's Rebuttal

1 responses · 0 unresolved

We thank the referee for a careful and constructive report. The referee correctly identifies the decoupling argument as a central design principle of the paper and requests a specific additional numerical test: a bifurcation computation at a different d'2 value overlaid on Fig. 2e–f to independently confirm that the existence boundaries do not shift. We agree this is a reasonable and well-motivated request and will incorporate it in the revised manuscript.

read point-by-point responses

  1. Referee: The decoupling argument — that D'2 controls initiation while D2 and gamma_0 define the final soliton state — is a central design principle of the paper. The existence boundaries (Eqs. 3–4) depend only on beta_0 and d2, not on d'2, which is consistent with decoupling. However, this is not explicitly verified by varying d'2 in the bifurcation analysis (Fig. 2e–f) while holding other parameters fixed. A single additional bifurcation computation at a different d'2 value (e.g., d'2 = 0.5 or 1.5), overlaid on Fig. 2e–f, would directly test whether the existence boundaries shift and would substantially strengthen the load-bearing claim. Without this, the decoupling remains an assertion supported by the analytic formulas but not independently confirmed by the numerics.

    Authors: We agree with the referee that an independent numerical verification of the decoupling claim would strengthen the paper. The referee's suggestion is well-taken: the analytic existence boundaries (Eqs. 3–4) depend on beta_0 and d2 but not on d'2, and while this analytic independence is consistent with decoupling, a direct numerical test — varying d'2 while holding all other parameters fixed and confirming that the bifurcation boundaries in Fig. 2e–f remain unchanged — would provide an independent confirmation that goes beyond the perturbative argument. We will perform this additional bifurcation computation at a different d'2 value (e.g., d'2 = 0.5, compared to the current d'2 = 0.9) and overlay the result on Fig. 2e–f in the revised manuscript. We expect the boundaries to remain unchanged, consistent with the analytic formulas, but we will report the result transparently regardless of the outcome. We will also add a brief sentence in the Conclusion explicitly noting this numerical verification of d'2-independence of the existence boundaries. revision: yes

Circularity Check

0 steps flagged

No significant circularity: derivation is self-contained with independent numerical and experimental verification

full rationale

The paper's central claims are supported by three independent evidence chains: (1) analytic existence boundaries (Eqs. 3-4) derived via perturbation theory from the coupled Lugiato-Lefever equations in the long-cavity limit, with the derivation fully self-contained in the SI (Fredholm alternative applied to the NLS soliton, yielding phase equations and existence conditions without fitting to data); (2) numerical bifurcation analysis solving the full stationary equations (Eq. 2) at ε=1 with experimental parameters, using the pde2path package — this is an independent computational check, not a renaming of the analytic result; (3) experimental measurements (optical spectra, phase noise, nonlinear dispersion relation) performed independently of the theoretical predictions. The analytic formulas depend only on β₀ and d₂ (not d'₂), and this decoupling claim is a structural consequence of the perturbation expansion (the localized dispersion D'₂ enters only the initiation dynamics, not the soliton existence boundaries). The agreement between analytic boundaries and numerics in Fig. 2e-f serves as validation, not circular reinforcement. The scaling laws connecting ε≪1 to ε=1 are standard mathematical rescalings explicitly stated in the SI. No parameter is fitted to a subset of data and then presented as a prediction. The one self-citation (Ref. 35, Bengel & de Rijk) provides the mathematical foundation for the LLE soliton existence theory but is not load-bearing for the novel BWD soliton result, which is derived independently here.

Axiom & Free-Parameter Ledger

7 free parameters · 5 axioms · 0 invented entities

The paper introduces no new physical entities, particles, forces, or postulated fields. The hybrid-dispersion profile is an engineering design using established photonic crystal resonator technology. The backward-propagating soliton attractor is a new dynamical state of a known system, not a new entity. All free parameters are device geometry or operating conditions, not fitted constants introduced to make a derivation work.

free parameters (7)
  • D2 (native dispersion) = D2/2π ≈ 60 kHz
    Measured from fabricated resonator; sets the weak global dispersion. Not fitted to soliton behavior but is a device parameter.
  • D'2 (induced strong dispersion) = D'2/2π ≈ 20 MHz
    Set by corrugation design; ranges from 6 to 80 MHz across 10 fabricated devices. Controls soliton initiation.
  • γ0 (FWD-BWD coupling rate at pump) = γ0/2π ≈ 175 MHz
    Set by corrugation amplitude; ranges from 50 to 600 MHz. Controls pump mode splitting and effective detuning regime.
  • f (normalized pump power) = 2.8 (simulation); 60 mW on-chip (experiment)
    Operating parameter chosen to access the soliton existence range.
  • ζ0 (pump detuning) = Scanned across lower hybrid mode
    Operating parameter; the soliton state is accessed at a specific detuning within the blue-detuned regime.
  • ∆w (corrugation amplitude) = 10-100 nm
    Design parameter swept across 10 resonators to scale γ0 and D'2.
  • Number of coupled mode pairs = 9
    Sets the width of the strong-dispersion section; chosen by design.
axioms (5)
  • domain assumption Coupled-mode equations (Eq. 1) accurately describe FWD/BWD field dynamics in the PhCR
    Standard in the microresonator comb literature; invoked throughout the paper as the governing model.
  • domain assumption Kerr nonlinearity is the dominant nonlinear effect; thermal, Raman, and higher-order nonlinearities are negligible
    Implicit in the model; the paper mentions thermal self-cooling effects but does not include thermal dynamics in the simulation.
  • ad hoc to paper Long-cavity limit (ℓ→∞) with perturbation theory for small damping ε provides valid existence boundaries at experimental parameter values
    SI §1.1: the scaling argument maps ε≪1 to large detuning/pump at ε=1, but quantitative validity at f=2.8, β0=9.2 is not explicitly verified.
  • standard math Nondegeneracy condition ζ0² ≠ β0² holds in the operating regime
    Required for the CW background solution (SI §1.2); satisfied when pump is not at exact resonance splitting.
  • domain assumption Avoided mode crossings outside the designed hybridization region are negligible
    Stated in the paper: 'the dispersion landscape is nearly free of avoided mode crossings (AMXs)'; if false, additional uncontrolled dispersion would perturb the soliton dynamics.

pith-pipeline@v1.1.0-glm · 18442 in / 3619 out tokens · 623911 ms · 2026-07-08T06:48:49.923045+00:00 · methodology

discussion (0)

Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.

Reference graph

Works this paper leans on

299 extracted references · 299 canonical work pages · 7 internal anchors

  1. [1]

    and Tikan, Alexey and Tusnin, Aleksandr and Riemensberger, Johann and Davydova, Alisa and Wang, Rui Ning and Kippenberg, Tobias J

    Anderson, Miles H. and Tikan, Alexey and Tusnin, Aleksandr and Riemensberger, Johann and Davydova, Alisa and Wang, Rui Ning and Kippenberg, Tobias J. , year = 2023, month = mar, journal =. Dissipative. doi:10.1103/PhysRevX.13.011040 , urldate =

    work page doi:10.1103/physrevx.13.011040 2023

  2. [2]

    Induced Directional Switching of Platicon Microcombs in Photonic Crystal Ring Resonators

    Lucas, Erwan and Yu, Su-Peng and Zang, Jizhao and Papp, Scott B. , year = 2026, month = jun, number =. Induced. doi:10.48550/arXiv.2606.21437 , urldate =. 2606.21437 , primaryclass =

    work page internal anchor Pith review Pith/arXiv arXiv doi:10.48550/arxiv.2606.21437 2026

  3. [3]

    Engineered

    Zheng, Yi and Liu, Yang and Tan, Haoyang and Zhao, Yanjing and Jacobsen, Andreas and Yvind, Kresten and Pu, Minhao , year = 2026, month = may, journal =. Engineered. doi:10.1021/acsphotonics.6c00056 , urldate =

    work page doi:10.1021/acsphotonics.6c00056 2026

  4. [4]

    Infrared Physics , volume =

    Use of the Opto-Acoustic Effect for Rapid Scan. Infrared Physics , volume =. doi:10.1016/0020-0891(78)90082-9 , urldate =

    work page doi:10.1016/0020-0891(78)90082-9

  5. [5]

    doi:10.1016/S0003-2670(00)85665-2 , urldate =

    Fourier-Transform Infrared Photoacoustic Spectroscopy of Zeolites , year = 1987, month = jan, journal =. doi:10.1016/S0003-2670(00)85665-2 , urldate =

    work page doi:10.1016/s0003-2670(00)85665-2 1987

  6. [6]

    PHYSICS TODAY , doi =

    Correlated-. PHYSICS TODAY , doi =

    work page

  7. [7]

    Quantum Solitons , year = 1999, month = feb, journal =

    work page 1999

  8. [8]

    and Brasch, V

    Herr, T. and Brasch, V. and Jost, J.D. and Kondratiev, N.M. and Gorodetsky, M.L. and Kippenberg, T.J. , year = 2013, address =. Microresonator Frequency Combs , booktitle =

    work page 2013

  9. [9]

    and Brasch, V

    Herr, T. and Brasch, V. and Jost, J.D. and Wang, C.Y. and Kondratiev, N.M. and Gorodetsky, M.L. and Kippenberg, T.J. , year = 2013, address =. Mode-Locking in Microresonators via Soliton Formation , booktitle =

    work page 2013

  10. [10]

    and Brasch, V

    Herr, T. and Brasch, V. and Jost, J.D. and Kondratiev, N.M. and Gorodetsky, M.L. and Kippenberg, T.J. , year = 2013, address =. Temporal Solitons for Frequency Comb Generation in Optical Microresonators , booktitle =

    work page 2013

  11. [11]

    and Brasch, V

    Herr, T. and Brasch, V. and Jost, J.D. and Wang, C.Y. and Kondratiev, N.M. and Gorodetsky, M.L. and Kippenberg, T.J. , year = 2013, address =. Mode-Locking via Soliton Formation in Optical Microresonators , booktitle =

    work page 2013

  12. [12]

    and Brasch, V

    Herr, T. and Brasch, V. and Jost, J.D. and Kondratiev, N.M. and Gorodetsky, M.L. and Kippenberg, T.J. , year = 2014, address =. Microresonator Frequency Combs , booktitle =

    work page 2014

  13. [13]

    Trends in Biotechnology , volume =

    Biomedical. Trends in Biotechnology , volume =. doi:10.1016/j.tibtech.2016.04.008 , urldate =

    work page doi:10.1016/j.tibtech.2016.04.008 2016

  14. [14]

    and Brasch, V

    Obrzud, E. and Brasch, V. and Lecomte, S. and Herr, T. , year = 2018, address =. Pulse-Driven Microresonator Solitons , booktitle =

    work page 2018

  15. [15]

    and Rainer, M

    Obrzud, E. and Rainer, M. and Harutyunyan, A. and Anderson, M.H. and Geiselmann, M. and Chazelas, B. and Kundermann, S. and Lecomte, S. and Cecconi, M. and Ghedina, A. and Molinari, E. and Pepe, F. and Wildi, F. and Bouchy, F. and Kippenberg, T.J. and Herr, T. , year = 2018, address =. Synchronously-Driven Microresonator Solitons and Application in Astron...

    work page 2018

  16. [16]

    and Lecomte, S

    Obrzud, E. and Lecomte, S. and Herr, T. , year = 2018, address =. Temporal Cavity Solitons in Synchronously-Driven Microresonators , booktitle =

    work page 2018

  17. [17]

    , year = 2018, address =

    Herr, T. , year = 2018, address =. Solitons and

    work page 2018

  18. [18]

    and Lecomte, S

    Obrzud, E. and Lecomte, S. and Pepe, F. and Wildi, F. and Bouchy, F. and Herr, T. , year = 2019, address =. Electro-Optic Laser Frequency Comb for Spectrograph Calibration , booktitle =

    work page 2019

  19. [19]

    , year = 2019, address =

    Herr, T. , year = 2019, address =. Frequency Combs in Synchronously Driven Optical Microresonators , booktitle =

    work page 2019

  20. [20]

    Broadband Giant Nonlinear Response from Electrically Tunable Polaritonic Metasurfaces , year = 2020, month = aug, doi =

    work page 2020

  21. [21]

    and Obrzud, E

    Brasch, V. and Obrzud, E. and Lecomte, S. and Herr, T. , year = 2020, address =. Nonlinear Filtering of an Optical Pulse Train Using Dissipative

    work page 2020

  22. [22]

    The Biomics , urldate =

    Springer E-. The Biomics , urldate =

    work page

  23. [23]

    and Voumard, T

    Wildi, T. and Voumard, T. and Brasch, V. and Yilmaz, G. and Herr, T. , year = 2020, address =. Photo-Acoustic Dual-Comb Spectroscopy , booktitle =

    work page 2020

  24. [24]

    and Obrzud, E

    Brasch, V. and Obrzud, E. and Lecomte, S. and Herr, T. , year = 2020, address =. Photo-Acoustic and Hyperspectral-Imaging Dual-Frequency Comb Spectroscopy , booktitle =

    work page 2020

  25. [25]

    and Voumard, T

    Wildi, T. and Voumard, T. and Herr, T. , year = 2021, address =. Novel Concepts in High-Coherence Multi-Heterodyne Spectroscopy , booktitle =

    work page 2021

  26. [26]

    Frequency Combs -- Fundamentals and Applications, Workshop , author =

    Soliton Microcombs in Photonic Crystal. Frequency Combs -- Fundamentals and Applications, Workshop , author =

    work page

  27. [27]

    Ultrafast Optics on a Chip , booktitle =

    work page

  28. [28]

    and Gaafar, M

    Wildi, T. and Gaafar, M. and Voumard, T. and Ludwig, M. and Herr, T. , year = 2022, address =. On-Chip High-. Photonics

    work page 2022

  29. [29]

    and Ulanov, A

    Wildi, T. and Ulanov, A. and Gaafar, M. and Voumard, T. and Ludwig, M. and Fan, W. and Herr, T. , year = 2022, address =. Nanostructured Microcomb Sources , booktitle =

    work page 2022

  30. [30]

    and Gaafar, M

    Wildi, T. and Gaafar, M. and Voumard, T. and Ludwig, M. and Herr, T. , year = 2022, address =. Soliton Combs in Chip-Integrated Standing-Wave Photonic Crystal Cavities , booktitle =

    work page 2022

  31. [31]

    Integrated

    Herr , year = 2022, address =. Integrated

    work page 2022

  32. [32]

    Nano-Structured Microresonators and Amplifiers for Chip-Integrated Femtosecond Photonics , booktitle =

    work page

  33. [33]

    Nanostructured Ultrafast Sources , booktitle =

    work page

  34. [34]

    Modulated Waveguide Photonics , booktitle =

    work page

  35. [35]

    , year = 2023, address =

    Herr, T. , year = 2023, address =. Soliton Pulses in Integrated

    work page 2023

  36. [36]

    Chip-Integrated Ultrafast Photonics , booktitle =

    work page

  37. [37]

    Chip-Integrated Ultrafast Photonics , booktitle =

    Herr, Tobias , year = 2024, address =. Chip-Integrated Ultrafast Photonics , booktitle =

    work page 2024

  38. [38]

    Chip-Integrated Ultrafast Sources , booktitle =

    work page

  39. [39]

    Phase-Stabilized Chip-Scale Microcombs , booktitle =

    work page

  40. [40]

    Frequency Combs in Photonic Crystal Microresonators , booktitle =

    work page

  41. [41]

    Broadband and Metrology-Grade Frequency Combs from Integrated Photonic Chips , booktitle =

    work page

  42. [42]

    Ferdinand-

    Microcombs:. Ferdinand-

    work page

  43. [43]

    Frequency Combs from Nanostructured Microresonators , booktitle =

    work page

  44. [44]

    Nonlinear Photonics on a Chip -. Metapix

    work page

  45. [45]

    Kerr Combs in Nano-Structured Microresonators , booktitle =

    work page

  46. [46]

    Ultrashort Pulses and Frequency Combs in Self-Injection Locked Nanophotonic Resonators , booktitle =

    work page

  47. [47]

    Controlling Nonlinear Processes in Photonic Crystal Resonators , booktitle =

    work page

  48. [48]

    Workshop on Astronomical Spectrograph Calibration , year = 2025, address =

    Dual-Frequency Comb-Based Precision Calibration of an Astronomical. Workshop on Astronomical Spectrograph Calibration , year = 2025, address =

    work page 2025

  49. [49]

    Attosecond-Level Synchronization of Chip-Integrated Sources , booktitle =

    Herr , year = 2026, address =. Attosecond-Level Synchronization of Chip-Integrated Sources , booktitle =

    work page 2026

  50. [50]

    Mordor Intelligence , urldate =

    Ultrafast. Mordor Intelligence , urldate =

    work page

  51. [51]

    Frequency Combs in Nanostructured Microresonators , booktitle =

    Herr , year = 2026, address =. Frequency Combs in Nanostructured Microresonators , booktitle =

    work page 2026

  52. [52]

    Electro-Optic and Dielectric Properties of

    Abarkan, Mustapha and Aillerie, Michel and Kokanyan, Ninel and Teyssandier, Cl. Electro-Optic and Dielectric Properties of. Optical Materials Express , volume =. doi:10.1364/OME.4.000179 , urldate =

    work page doi:10.1364/ome.4.000179

  53. [53]

    Scientific Reports , volume =

    Time-Resolved Mid-Infrared Dual-Comb Spectroscopy , author =. Scientific Reports , volume =. doi:10.1038/s41598-019-53825-8 , urldate =

    work page doi:10.1038/s41598-019-53825-8

  54. [54]

    doi:10.1002/chir.20805 , urldate =

    Abbate, Sergio and Castiglioni, Ettore and Gangemi, Fabrizio and Gangemi, Roberto and Longhi, Giovanna , year = 2009, journal =. doi:10.1002/chir.20805 , urldate =

    work page doi:10.1002/chir.20805 2009

  55. [55]

    Nature Communications , volume =

    Multicolor Multiscale Brain Imaging with Chromatic Multiphoton Serial Microscopy , author =. Nature Communications , volume =. doi:10.1038/s41467-019-09552-9 , urldate =

    work page doi:10.1038/s41467-019-09552-9

  56. [56]

    Physics World , volume =

    Quantum Solitons , author =. Physics World , volume =. doi:10.1088/2058-7058/12/2/27 , urldate =

    work page doi:10.1088/2058-7058/12/2/27 2058

  57. [57]

    and Brebels, S

    Acharya, R. and Brebels, S. and Grill, A. and Verjauw, J. and Ivanov, Ts and Lozano, D. Perez and Wan, D. and Van Damme, J. and Vadiraj, A. M. and Mongillo, M. and Govoreanu, B. and Craninckx, J. and Radu, I. P. and De Greve, K. and Gielen, G. and Catthoor, F. and Poto. Multiplexed Superconducting Qubit Control at Millikelvin Temperatures with a Low-Power...

    work page doi:10.1038/s41928-023-01033-8

  58. [58]

    Ultrafast nonlinear pulse propagation dynamics in metal-dielectric periodic photonic architectures

    Acharyya, Jitendra Nath and Mishra, Akhilesh Kumar and Rao, D. Narayana and Kumar, Ajit and Prakash, G. Vijaya , year = 2021, month = feb, journal =. Ultrafast Nonlinear Absorption and Pulse Propagation Dynamics in Metal-Dielectric. 2102.08740 , primaryclass =

    work page internal anchor Pith review Pith/arXiv arXiv 2021

  59. [59]

    doi:10.1063/1.336070 , urldate =

    Adachi, Sadao , year = 1985, month = aug, journal =. doi:10.1063/1.336070 , urldate =

    work page doi:10.1063/1.336070 1985

  60. [60]

    Analyst , volume =

    Nanoantenna Enhanced Terahertz Interaction of Biomolecules , author =. Analyst , volume =. doi:10.1039/C9AN00798A , urldate =

    work page doi:10.1039/c9an00798a

  61. [61]

    Optics Express , volume =

    Radiative Engineering of Plasmon Lifetimes in Embedded Nanoantenna Arrays , author =. Optics Express , volume =. doi:10.1364/OE.18.004526 , urldate =

    work page doi:10.1364/oe.18.004526

  62. [62]

    , year = 1946, month = jun, journal =

    Adler, R. , year = 1946, month = jun, journal =. A

    work page 1946

  63. [63]

    Physical Review A , volume =

    Two-Color Bright Squeezed Vacuum , author =. Physical Review A , volume =. doi:10.1103/PhysRevA.82.011801 , urldate =

    work page doi:10.1103/physreva.82.011801

  64. [64]

    Nonlinearity , volume =

    Integrable Turbulence Generated from Modulational Instability of Cnoidal Waves , author =. Nonlinearity , volume =. doi:10.1088/0951-7715/29/11/3551 , urldate =

    work page doi:10.1088/0951-7715/29/11/3551

  65. [65]

    Agazzi, L. and W. Energy-. The Journal of Physical Chemistry C , volume =. doi:10.1021/jp4011839 , urldate =

    work page doi:10.1021/jp4011839

  66. [66]

    Agha, I. H. and Okawachi, Y. and Foster, M. A. and Sharping, J. E. and Gaeta, A. L. , year = 2007, month = oct, journal =. Four-Wave-Mixing Parametric Oscillations in Dispersion-Compensated High-

    work page 2007

  67. [67]

    Nature , pages =

    Scaling and Networking a Modular Photonic Quantum Computer , author =. Nature , pages =

    work page

  68. [68]

    Optics Letters , volume =

    Waveguide Lasers in Ytterbium-Doped Tantalum Pentoxide on Silicon , author =. Optics Letters , volume =. doi:10.1364/OL.40.002549 , urldate =

    work page doi:10.1364/ol.40.002549

  69. [69]

    Nanophotonics , volume =

    Improving Nanoscale Terahertz Field Localization by Means of Sharply Tapered Resonant Nanoantennas , author =. Nanophotonics , volume =. doi:10.1515/nanoph-2019-0459 , urldate =

    work page doi:10.1515/nanoph-2019-0459 2019

  70. [70]

    Optics Letters , volume =

    Tunable Hybrid Silicon Nitride and Thin-Film Lithium Niobate Electro-Optic Microresonator , author =. Optics Letters , volume =. doi:10.1364/OL.44.000618 , urldate =

    work page doi:10.1364/ol.44.000618

  71. [71]

    and Su, Logan and Skarda, Jinhie and Vu

    Ahn, Geun Ho and Yang, Ki Youl and Trivedi, Rahul and White, Alexander D. and Su, Logan and Skarda, Jinhie and Vu. Photonic. ACS Photonics , volume =. doi:10.1021/acsphotonics.2c00020 , urldate =

    work page doi:10.1021/acsphotonics.2c00020

  72. [72]

    The European Physical Journal D - Atomic, Molecular, Optical and Plasma Physics , volume =

    Optical Mode Characterization of Single Photons Prepared by Means of Conditional Measurements on a Biphoton State , author =. The European Physical Journal D - Atomic, Molecular, Optical and Plasma Physics , volume =

    work page

  73. [73]

    and Sreejith, S

    Ajayan, J. and Sreejith, S. and Manikandan, M. and Lai, Wen-Cheng and Saha, Sumit , year = 2024, month = apr, journal =. Terahertz Sensors for next Generation Biomedical and Other Industrial Electronics Applications:. doi:10.1016/j.sna.2024.115169 , urldate =

    work page doi:10.1016/j.sna.2024.115169 2024

  74. [74]

    Optical Review , volume =

    Real-Time Terahertz Wave Sensing via Infrared Detection Interacted with Evanescent Terahertz Waves , author =. Optical Review , volume =. doi:10.1007/s10043-015-0022-8 , urldate =

    work page doi:10.1007/s10043-015-0022-8

  75. [75]

    Akin, Joshua and Zhao, Yunlei and Misra, Yuvraj and Haque, A. K. M. Naziul and Fang, Kejie , year = 2024, month = oct, journal =. doi:10.1038/s41377-024-01653-5 , urldate =

    work page doi:10.1038/s41377-024-01653-5 2024

  76. [76]

    Nature Photonics , volume =

    Large Optical Nonlinearity of Nanoantennas Coupled to an Epsilon-near-Zero Material , author =. Nature Photonics , volume =. doi:10.1038/s41566-017-0089-9 , urldate =

    work page doi:10.1038/s41566-017-0089-9

  77. [77]

    and Barbieri, M

    Albarelli, F. and Barbieri, M. and Genoni, M. G. and Gianani, I. , year = 2020, month = apr, journal =. A Perspective on Multiparameter Quantum Metrology:. doi:10.1016/j.physleta.2020.126311 , urldate =

    work page doi:10.1016/j.physleta.2020.126311 2020

  78. [78]

    Electric and

    Albella, Pablo and. Electric and. ACS Photonics , volume =. doi:10.1021/ph500060s , urldate =

    work page doi:10.1021/ph500060s

  79. [79]

    and Verbist, Jochem and Neyts, Kristiaan and Kuyken, Bart and Van Thourhout, Dries and Beeckman, Jeroen , year = 2018, month = aug, journal =

    Alexander, Koen and George, John P. and Verbist, Jochem and Neyts, Kristiaan and Kuyken, Bart and Van Thourhout, Dries and Beeckman, Jeroen , year = 2018, month = aug, journal =. Nanophotonic. doi:10.1038/s41467-018-05846-6 , urldate =

    work page doi:10.1038/s41467-018-05846-6 2018

  80. [80]

    Nature Methods , volume =

    The Emerging Landscape of Single-Molecule Protein Sequencing Technologies , author =. Nature Methods , volume =. doi:10.1038/s41592-021-01143-1 , urldate =

    work page doi:10.1038/s41592-021-01143-1

Showing first 80 references.