232
J. Eur. Opt. Society-Rapid Publ. 21, 23( 2025)
32 Hansson T, Parra-Rivas P, Bernard M, Leo F, Gelens L, Wabnitz S, Quadratic soliton combs in doubly resonant second-harmonic generation, Opt. Lett. 43, 6033( 2018). https:// doi. org / 10.1364 / ol. 43.006033.
33 Leo F, et al., Frequency-comb formation in doubly resonant second-harmonic generation, Phys. Rev. A. 93, 043831( 2016). https:// doi. org / 10.1103 / physreva. 93.043831.
34 Hansson T, Parra-Rivas P, Wabnitz S, Modeling of dual frequency combs and bistable solitons in third-harmonic generation, Commun. Phys. 6, 59( 2023). https:// doi. org / 10.1038 / s42005-023-01176-2.
35 Trillo S, Wabnitz S, Nonlinear parametric mixing instabilities induced by self-phase and cross-phase modulation, Opt. Lett. 17, 1572( 1992). https:// doi. org / 10.1364 / ol. 17.001572.
36 Buryak AV, Trillo S, Kivshar YS, Optical solitons supported by competing nonlinearities, Opt. Lett. 20, 1961( 1995). https:// doi. org / 10.1364 / ol. 20.001961.
37 Villois A, Kondratiev N, Breunig I, Puzyrev DN, Skryabin DV, Frequency combs in a microring optical parametric oscillator, Opt. Lett. 44, 4443( 2019). https:// doi. org / 10.1364 / ol. 44.004443.
38 Xue X, et al., Second-harmonic-assisted four-wave mixing in chip-based microresonator frequency comb generation, Light Sci. Appl. 6, e16253( 2016). https:// doi. org / 10.1038 / lsa. 2016.253.
39 Phillips CR, Jankowski M, Flemens N, Fejer MM, General framework for ultrafast nonlinear photonics: unifying single and multi-envelope treatments, Opt. Express. 32, 8284( 2024). https:// doi. org / 10.1364 / oe. 513856.
40 Talenti FR, Wabnitz S, Ghorbel I, Combrié S, Aimone- Giggio L, De Rossi A, Fast dispersion tailoring of multimode photonic crystal resonators, Phys. Rev. A. 106, 023505( 2022). https:// doi. org / 10.1103 / physreva. 106.023505.
41 De Rossi A, Combrié S, The dawn of chimera optical resonators, Nat. Photonics 18, 112( 2024). https:// doi. org / 10.1038 / s41566-023-01376-w.
42 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). https:// doi. org / 10.1038 / s42005-023-01253-6.
43 Gray D, West GN, Ram RJ, Inverse design for waveguide dispersion with a differentiable mode solver, Optics Express. 32, 30541( 2024). https:// doi. org / 10.1364 / oe. 530479.
44 Lucas E, Yu SP, Briles TC, Carlson DR, Papp SB, Tailoring microcombs with inverse-designed, metadispersion microresonators, Nat. Photonics 17, 943( 2023). https:// doi. org / 10.1038 / s41566-023-01252-7.
45 Abolghasem P, Han JB, Kang D, Bijlani BJ, Helmy AS, Monolithic photonics using second-order optical nonlinearities in multilayer-core Bragg reflection waveguides, IEEE J. Sel. Top. Quantum Electron. 18, 812( 2011). https:// doi. org / 10.1109 / JSTQE. 2011.2135841.
46 Kuo PS, Fang W, Solomon GS, 4-quasi-phase-matched interactions in GaAs microdisk cavities, Opt. Lett. 34, 3580( 2009). https:// doi. org / 10.1364 / ol. 34.003580.
47 Morais N, et al., Directionally induced quasi-phase matching in homogeneous AlGaAs waveguides, Opt. Lett. 42, 4287( 2017). https:// doi. org / 10.1364 / ol. 42.004287.
48 Ansys( Lumerical Inc, 2000). Available at https:// www. lumerical. com /.
49 Agrawal GP, Nonlinear fiber optics( Springer, Berlin, Heidelberg, 2000).
50 Pasquazi A, et al., Micro-combs: A novel generation of optical sources, Phys. Rep. 729, 1( 2018). https:// doi. org / 10.1016 / j. physrep. 2017.08.004.
51 Laegsgaard J, Mode profile dispersion in the generalised nonlinear Schrödinger equation, Opt. Express. 15, 16110( 2007). https:// doi. org / 10.1364 / oe. 15.016110.
52 Buryak AV, Trapani PD, Skryabin DV, Trillo S, Optical solitons due to quadratic nonlinearities: from basic physics to futuristic applications, Phys. Rep. 370, 63( 2002). https:// doi. org / 10.1016 / s0370-1573( 02) 00196-5.
53 Hansson T, Wabnitz S, Dynamics of microresonator frequency comb generation: models and stability, Nanophotonics. 5, 231( 2016). https:// doi. org / 10.1515 / nanoph-2016-0012.
54 Dudley JM, Taylor JR, Supercontinuum generation in optical fibers( Cambridge University Press, Cambridge, 2010).
55 Leuthold J, Koos C, Freude W, Nonlinear silicon photonics, Nat. Photonics. 4, 535( 2010). https:// doi. org / 10.1038 / nphoton. 2010.185.
56 Lin Q, Painter OJ, Agrawal GP, Nonlinear optical phenomena in silicon waveguides: modeling and applications, Opt. Express. 15, 16604( 2007). https:// doi. org / 10.1364 / oe. 15. 016604.
57 Nishi H, Sugiyama H, Kanno E, Segawa T, Wada K, Matsuo S, Second-harmonic-wave assisted octave-spanning supercontinuum generation in an AlGaAs-on-insulator waveguide, in: 2024 IEEE Silicon Photonics Conference( SiPhotonics), 15 – 18 April, Tokyo Bay, Japan( IEEE, 2024), p. 1. https:// doi. org / 10.1109 / siphotonics60897.2024.10543509.
58 Yu SP, Lucas E, Zang J, Papp SB, A continuum of bright and dark-pulse states in a photonic-crystal resonator, Nat. Commun. 13, 3134( 2022). https:// doi. org / 10.1038 / s41467- 022-30774-x.
59 Yu SP, Jung H, Briles TC, Srinivasan K, Papp SB, Photoniccrystal-reflector nanoresonators for kerr-frequency combs, ACS Photonics 6, 2083( 2019). https:// doi. org / 10.1021 / acsphotonics. 9b00578.
60 Wildi T, Gaafar MA, Voumard T, Ludwig M, Herr T, Dissipative Kerr solitons in integrated Fabry – Perot microresonators, Optica 10, 650( 2023). https:// doi. org / 10.1364 / optica. 480789.
61 Boyd RW, Gaeta AL, Giese E, Nonlinear optics( Springer, New York, 2008).
62 Mobini E, Espinosa DHG, Vyas K, Dolgaleva K, AlGaAs nonlinear integrated photonics, Micromachines 13, 991( 2022). https:// doi. org / 10.3390 / mi13070991.
63 May S, Clerici M, Sorel M, Supercontinuum generation in dispersion engineered AlGaAs-on-insulator waveguides, Sci. Rep. 11, 2052( 2021). https:// doi. org / 10.1038 / s41598-021- 81555-3.
64 Halir R, et al., Waveguide sub-wavelength structures: a review of principles and applications, Laser Photonics Rev. 9, 25( 2014). https:// doi. org / 10.1002 / lpor. 201400083.
65 Vermeulen N, et al., Post-2000 nonlinear optical materials and measurements: data tables and best practices, J. Phys. Photonics 5, 035001( 2023). https:// doi. org / 10.1088 / 2515- 7647 / ac9e2f.
66 Higgs PW, Broken symmetries and the masses of gauge bosons, Phys. Rev. Lett. 13, 508( 1964). https:// doi. org / 10.1103 / physrevlett. 13.508.
67 Parisi G, The order parameter for spin glasses: a function on the interval 0 – 1, J. Phys A: Math. General. 13, 1101( 1980). https:// doi. org / 10.1088 / 0305-4470 / 13 / 3 / 042.