[1] |
Herr T, Brasch V, Jost J D, et al. Temporal solitons in optical microresonators [J]. Nature Photonics, 2014, 8(2): 145-152. doi: 10.1038/NPHOTON.2013.343 |
[2] |
Yang Q F, Suh M G, Yang K Y, et al. Microresonator soliton dual-comb spectroscopy[C]//Conference on Lasers and Electro-Optics (CLEO), 2017: SM4D. 4. |
[3] |
Cundiff S T, Ye J. Colloquium: Femtosecond optical frequency combs [J]. Reviews of Modern Physics, 2003, 75(1): 325-342. doi: 10.1103/RevModPhys.75.325 |
[4] |
Koke S, Grebing C, Frei H, et al. Direct frequency comb synthesis with arbitrary offset and shot-noise-limited phase noise [J]. Nature Photonics, 2010, 4(7): 462-465. doi: 10.1038/nphoton.2010.91 |
[5] |
Stern B, Ji X C, Okawachi Y, et al. Battery-operated integrated frequency comb generator [J]. Nature, 2018, 562(7727): 401-405. doi: 10.1038/s41586-018-0598-9 |
[6] |
Yao B C, Huang S W, Liu Y, et al. Gate-tunable frequency combs in graphene-nitride microresonators [J]. Nature, 2018, 558(7710): 410-414. doi: 10.1038/s41586-018-0216-x |
[7] |
Matsko A B, Savchenkov A A, Strekalov D, et al. Optical hyperparametric oscillations in a whispering-gallery-mode resonator: threshold and phase diffusion [J]. Physical Review A, 2005, 71(3): 033804. doi: 10.1103/PhysRevA.71.033804 |
[8] |
Lin G P, Coillet A, Chembo Y K. Nonlinear photonics with high-Q whispering-gallery-mode resonators [J]. Advances in Optics and Photonics, 2017, 9(4): 828-890. doi: 10.1364/AOP.9.000828 |
[9] |
Kues M, Reimer C, Lukens J M, et al. Quantum optical microcombs [J]. Nature Photonics, 2019, 13(3): 170-179. doi: 10.1038/s41566-019-0363-0 |
[10] |
Del'Haye P, Schliesser A, Arcizet O, et al. Optical frequency comb generation from a monolithic microresonator [J]. Nature, 2007, 450(7173): 1214-1217. doi: 10.1038/nature06401 |
[11] |
Udem T, Holzwarth R, Hänsch T W. Optical frequency metrology [J]. Nature, 2002, 416(6877): 233-237. doi: 10.1038/416233a |
[12] |
Jones D J, Diddams S A, Ranka J K, et al. Carrier-envelope phase control of femtosecond mode-locked lasers and direct optical frequency synthesis [J]. Science, 2000, 288(5466): 635-639. doi: 10.1126/science.288.5466.635 |
[13] |
Spencer D T, Drake T, Briles T C, et al. An optical-frequency synthesizer using integrated photonics [J]. Nature, 2018, 557(7703): 81-85. doi: 10.1038/s41586-018-0065-7 |
[14] |
Steinmetz T, Wilken T, Araujo-Hauck C, et al. Laser frequency combs for astronomical observations [J]. Science, 2008, 321(5894): 1335-1337. doi: 10.1126/science.1161030 |
[15] |
Suh M G, Vahala K J. Soliton microcomb range measurement [J]. Science, 2018, 359(6378): 884-887. doi: 10.1126/science.aao1968 |
[16] |
Bartels A, Heinecke D, Diddams S A. 10-GHz self-referenced optical frequency comb [J]. Science, 2009, 326(5953): 681-681. doi: 10.1126/science.1179112 |
[17] |
Vahala K J. Optical microcavities [J]. Nature, 2003, 424(6950): 839-846. doi: 10.1038/nature01939 |
[18] |
Breunig I. Three-wave mixing in whispering gallery resonators [J]. Laser & Photonics Reviews, 2016, 10(4): 569-587. doi: 10.1002/lpor.201600038 |
[19] |
Strekalov D V, Marquardt C, Matsko A B, et al. Nonlinear and quantum optics with whispering gallery resonators [J]. Journal of Optics, 2016, 18(12): 123002. doi: 10.1088/2040-8978/18/12/123002 |
[20] |
Gaeta A L, Lipson M, Kippenberg T J. Photonic-chip-based frequency combs [J]. Nature Photonics, 2019, 13(3): 158-169. doi: 10.1038/s41566-019-0358-x |
[21] |
Kippenberg T J, Spillane S M, Vahala K J. Kerr-nonlinearity optical parametric oscillation in an ultrahigh-Q toroid microcavity [J]. Physical Review Letters, 2004, 93(8): 083904. doi: 10.1103/PhysRevLett.93.083904 |
[22] |
Savchenkov A A, Matsko A B, Strekalov D, et al. Low threshold optical oscillations in a whispering gallery mode CaF2 resonator [J]. Physical Review Letters, 2004, 93(24): 243905. doi: 10.1103/PhysRevLett.93.243905 |
[23] |
Kippenberg T J, Holzwarth R, Diddams S A. Microresonator-based optical frequency combs [J]. Science, 2011, 332(6029): 555-559. doi: 10.1126/science.1193968 |
[24] |
Wang Mengyu, Fan Lekang, Wu Lingfeng, et al. Research on Kerr optical frequency comb generation based on MgF2 crystalline microresonator with ultra-high-Q factor [J]. Infrared and Laser Engineering, 2021, 50(5): 20210481. (in Chinese) doi: 10.3788/IRLA20210481 |
[25] |
Agha I H, Okawachi Y, Gaeta A L. Theoretical and experimental investigation of broadband cascaded four-wave mixing in high-Q microspheres [J]. Optics Express, 2009, 17(18): 16209-16215. doi: 10.1364/OE.17.016209 |
[26] |
Okawachi Y, Saha K, Levy J S, et al. Octave-spanning frequency comb generation in a silicon nitride chip [J]. Optics Letters, 2011, 36(17): 3398-3400. doi: 10.1364/OL.36.003398 |
[27] |
Jung H, Xiong C, Fong K F, et al. Optical frequency comb generation from aluminum nitride microring resonator [J]. Optics Letters, 2013, 38(15): 2810-2813. doi: 10.1364/OL.38.002810 |
[28] |
Hausmann B J M, Bulu I, Venkataraman V, et al. Diamond nonlinear photonics [J]. Nature Photonics, 2014, 8(5): 369-374. doi: 10.1038/nphoton.2014.72 |
[29] |
Brasch V, Geiselmann M, Herr T, et al. Photonic chip-based optical frequency comb using soliton Cherenkov radiation [J]. Science, 2016, 351(6271): 357-360. doi: 10.1126/science.aad4811 |
[30] |
Kim S, Han K, Wang C, et al. Dispersion engineering and frequency comb generation in thin silicon nitride concentric microresonators [J]. Nature Communications, 2017, 8: 372. doi: 10.1038/s41467-017-00491-x |
[31] |
Wang C, Zhang M, Yu M J, et al. Monolithic lithium niobate photonic circuits for Kerr frequency comb generation and modulation [J]. Nature Communications, 2019, 10: 978. doi: 10.1038/s41467-019-08969-6 |
[32] |
Del'Haye P, Herr T, Gavartin E, et al. Octave spanning tunable frequency comb from a microresonator [J]. Physical Review Letters, 2011, 107(6): 063901. doi: 10.1103/PhysRevLett.107.063901 |
[33] |
Xue X X, Xuan Y, Liu Y, et al. Mode-locked dark pulse Kerr combs in normal-dispersion microresonators [J]. Nature Photonics, 2015, 9(9): 594-600. doi: 10.1038/NPHOTON.2015.137 |
[34] |
Yi X, Yang Q F, Yang K Y, et al. Soliton frequency comb at microwave rates in a high-Q silica microresonator [J]. Optica, 2015, 2(12): 1078-1085. doi: 10.1364/OPTICA.2.001078 |
[35] |
Yang Q F, Yi X, Yang K Y, et al. Stokes solitons in optical microcavities [J]. Nature Physics, 2017, 13(1): 53-57. doi: 10.1038/NPHYS3875 |
[36] |
Weiner A M. Frequency combs cavity solitons come of age [J]. Nature Photonics, 2017, 11(9): 533-535. doi: 10.1038/nphoton.2017.149 |
[37] |
Kippenberg T J, Gaeta A L, Lipson M, et al. Dissipative Kerr solitons in optical microresonators [J]. Science, 2018, 361(6402): eaan8083. doi: 10.1126/science.aan8083 |
[38] |
Obrzud E, Rainer M, Harutyunyan A, et al. A microphotonic astrocomb [J]. Nature Photonics, 2019, 13(1): 31-35. doi: 10.1038/s41566-018-0309-y |
[39] |
Ludlow A D, Boyd M M, Ye J, et al. Optical atomic clocks [J]. Reviews of Modern Physics, 2015, 87(2): 637-701. doi: 10.1103/RevModPhys.87.637 |
[40] |
Holzwarth R, Udem T, Hansch T W, et al. Optical frequency synthesizer for precision spectroscopy [J]. Physical Review Letters, 2000, 85(11): 2264. doi: 10.1103/PhysRevLett.85.2264 |
[41] |
Murphy M T, Udem T, Holzwarth R, et al. High-precision wavelength calibration of astronomical spectrographs with laser frequency combs [J]. Monthly Notices of the Royal Astronomical Society, 2007, 380(2): 839-847. doi: 10.1111/j.1365-2966.2007.12147.x |
[42] |
Margolis H S. Spectroscopic applications of femtosecond optical frequency combs [J]. Chemical Society Reviews, 2012, 41(15): 5174-5184. doi: 10.1039/c2cs35163c |
[43] |
Hartl I, Li X D, Chudoba C, et al. Ultrahigh-resolution optical coherence tomography using continuum generation in an air-silica microstructure optical fiber [J]. Optics Letters, 2001, 26(9): 608-610. doi: 10.1364/OL.26.000608 |
[44] |
Wilt B A, Burns L D, Ho E T W, et al. Advances in light microscopy for neuroscience [J]. Annual Review of Neuroscience, 2009, 32: 435-506. doi: 10.1146/annurev.neuro.051508.135540 |
[45] |
Fercher A F, Drexler W, Hitzenberger C K, et al. Optical coherence tomography - principles and applications [J]. Reports on Progress in Physics, 2003, 66(2): 239-303. doi: 10.1088/0034-4885/66/2/204 |
[46] |
Ideguchi T, Holzner S, Bernhardt S B, et al. Coherent Raman spectro-imaging with laser frequency combs [J]. Nature, 2013, 502(7471): 355-358. doi: 10.1038/nature12607 |
[47] |
Wan S, Niu R, Peng J L, et al. Fabrication of the high-Q Si3N4 microresonators for soliton microcombs [J]. Chinese Optics Letters, 2022, 20(3): 032201. doi: 10.3788/COL202220.032201 |
[48] |
Lu Z Z, Wang W Q, Zhang W F, et al. Deterministic generation and switching of dissipative Kerr soliton in a thermally controlled micro-resonator [J]. AIP Advances, 2019, 9(2): 025314. doi: 10.1063/1.5080128 |
[49] |
Fujii S, Tanabe T. Dispersion engineering and measurement of whispering gallery mode microresonator for Kerr frequency comb generation [J]. Nanophotonics, 2020, 9(5): 1087-1104. doi: 10.1515/nanoph-2019-0497 |
[50] |
Miller S, Luke K, Okawachi Y, et al. On-chip frequency comb generation at visible wavelengths via simultaneous second- and third-order optical nonlinearities [J]. Optics Express, 2014, 22(22): 26517-26525. doi: 10.1364/OE.22.026517 |
[51] |
Liu X W, Sun C Z, Xiong B, et al. Generation of multiple near-visible comb lines in an AlN microring via chi((2)) and chi((3)) optical nonlinearities [J]. Applied Physics Letters, 2018, 113(17): 171106. doi: 10.1063/1.5046324 |
[52] |
Guo X, Zou C L, Jung H, et al. Efficient generation of a near-visible frequency comb via Cherenkov-like radiation from a Kerr microcomb [J]. Physical Review Applied, 2018, 10(1): 014012. doi: 10.1103/PhysRevApplied.10.014012 |
[53] |
Bruch A W, Liu X, Gong Z, et al. Pockels soliton microcomb [J]. Nature Photonics, 2021, 15(1): 21-27. doi: 10.1038/s41566-020-00704-8 |
[54] |
Gong Z, Bruch A W, Yang F, et al. Quadratic strong coupling in AlN Kerr cavity solitons [J]. Optics Letters, 2022, 47(4): 746-749. doi: 10.1364/OL.447987 |
[55] |
Wang L R, Chang L, Volet N, et al. Frequency comb generation in the green using silicon nitride microresonators [J]. Laser & Photonics Reviews, 2016, 10(4): 631-638. doi: 10.1002/lpor.201600006 |
[56] |
Szabados J, Puzyrev D N, Minet Y, et al. Frequency comb generation via cascaded second-order nonlinearities in microresonators [J]. Physical Review Letters, 2020, 124(20): 203902. doi: 10.1103/PhysRevLett.124.203902 |
[57] |
Buryak A V, Di Trapani P, Skryabin D V, et al. Optical solitons due to quadratic nonlinearities: from basic physics to futuristic applications [J]. Physics Reports-Review Section of Physics Letters, 2002, 370(2): 63-235. doi: 10.1016/S0370-1573(02)00196-5 |
[58] |
Skryabin D V, Champneys A R. Walking cavity solitons [J]. Physical Review E, 2001, 63(6): 066610. doi: 10.1103/PhysRevE.63.066610 |
[59] |
Villois A, Kondratiev N, Breunig I, et al. Frequency combs in a microring optical parametric oscillator [J]. Optics Letters, 2019, 44(18): 4443-4446. doi: 10.1364/OL.44.004443 |
[60] |
Villois A, Skryabin D V. Soliton and quasi-soliton frequency combs due to second harmonic generation in microresonators [J]. Optics Express, 2019, 27(5): 7098-7107. doi: 10.1364/OE.27.007098 |
[61] |
Chen H J, Ji Q X, Wang H, et al. Chaos-assisted two-octave-spanning microcombs [J]. Nature Communications, 2020, 11(1): 1-6. doi: 10.1038/s41467-020-15914-5 |
[62] |
Guo X, Zou C L, Schuck C, et al. Parametric down-conversion photon-pair source on a nanophotonic chip [J]. Light: Science & Applications, 2017, 6(5): e16249. doi: 10.1038/lsa.2016.249 |
[63] |
Jiang X,Shao L, Zhang S X, et al. Chaos-assisted broadband momentum transformation in optical microresonators [J]. Science, 2017, 358(6361): 344-347. doi: DOI:10.1126/science.aao0763 |
[64] |
Yang Y, Jiang X F, Kasumie S, et al. Four-wave mixing parametric oscillation and frequency comb generation at visible wavelengths in a silica microbubble resonator [J]. Optics Letters, 2016, 41(22): 5266-5269. doi: 10.1364/OL.41.005266 |
[65] |
Riesen N, Zhang W Q, Monro T M. Dispersion in silica microbubble resonators [J]. Optics Letters, 2016, 41(6): 1257-1260. doi: 10.1364/OL.41.001257 |
[66] |
Shu F J, Zhang P J, Qian Y J, et al. A mechanically tuned Kerr comb in a dispersion-engineered silica microbubble resonator [J]. Science China-Physics Mechanics & Astronomy, 2020, 63(5): 254211. doi: 10.1007/s11433-019-1464-8 |
[67] |
Ma J Y, Xiao L F, Gu J X, et al. Visible Kerr comb generation in a high-Q silica microdisk resonator with a large wedge angle [J]. Photonics Research, 2019, 7(5): 573-578. doi: 10.1364/PRJ.7.000573 |
[68] |
Zhao Y, Ji X C, Kim B Y, et al. Visible nonlinear photonics via high-order-mode dispersion engineering [J]. Optica, 2020, 7(2): 135-141. doi: 10.1364/OPTICA.7.000135 |
[69] |
Luo L W, Ophir N, Chen C P, et al. WDM-compatible mode-division multiplexing on a silicon chip [J]. Nature Communications, 2014, 5: 3069. doi: 10.1038/ncomms4069 |
[70] |
Karpov M, Guo H R, Pfeiffer M H , et al. Dynamics of soliton crystals in optical microresonators[C]//Conference on Lasers and Electro-Optics (CLEO), 2017. |
[71] |
Wan S, Niu R, Wang Z Y, et al. Frequency stabilization and tuning of breathing solitons in Si3N4 microresonators [J]. Photonics Research, 2020, 8(8): 1342-1349. doi: 10.1364/PRJ.397619 |
[72] |
Wang X Y, Xie P, Wang W Q, et al. Program-controlled single soliton microcomb source [J]. Photonics Research, 2021, 9(1): 66-72. doi: 10.1364/PRJ.408612 |
[73] |
Coen S, Randle H G, Sylvestre T, et al. Modeling of octave-spanning Kerr frequency combs using a generalized mean-field Lugiato-Lefever model [J]. Optics Letters, 2013, 38(1): 37-39. doi: 10.1364/OL.38.000037 |
[74] |
Godey C, Balakireva I V, Coillet A, et al. Stability analysis of the spatiotemporal Lugiato-Lefever model for Kerr optical frequency combs in the anomalous and normal dispersion regimes [J]. Physical Review A, 2014, 89(6): 063814. doi: 10.1103/PhysRevA.89.063814 |
[75] |
Savchenkov A A, Matsko A B, Liang W, et al. Kerr combs with selectable central frequency [J]. Nature Photonics, 2011, 5(5): 293-296. doi: 10.1038/NPHOTON.2011.50 |
[76] |
Lu Q, Wu X, Liu L, et al. Mode-selective lasing in high-Q polymer micro bottle resonators [J]. Optics Express, 2015, 23(17): 22740-22745. doi: 10.1364/OE.23.022740 |
[77] |
Lu Q, Chen X, Liu X, et al. Opto-fluidic-plasmonic liquid-metal core microcavity [J]. Applied Physics Letters, 2020, 117(16): 161101. doi: 10.1063/5.0028050 |
[78] |
Lu Q J, Liu S, Wu X, et al. Stimulated Brillouin laser and frequency comb generation in high-Q microbubble resonators [J]. Optics Letters, 2016, 41(8): 1736-1739. doi: 10.1364/OL.41.001736 |
[79] |
Yin Y H, Niu Y X, Qin H Y, et al. Kerr frequency comb generation in microbottle resonator with tunable zero dispersion wavelength [J]. Journal of Lightwave Technology, 2019, 37(21): 5571-5575. doi: 10.1109/JLT.2019.2932844 |
[80] |
Jin X Y, Xu X, Gao H R, et al. Controllable two-dimensional Kerr and Raman-Kerr frequency combs in microbottle resonators with selectable dispersion [J]. Photonics Research, 2021, 9(2): 171-180. doi: 10.1364/PRJ.408492 |
[81] |
Ramelow S, Farsi A, Clemmen S, et al. Strong polarization mode coupling in microresonators [J]. Optics Letters, 2014, 39(17): 5134-5137. doi: 10.1364/OL.39.005134 |
[82] |
Carmon T, Schwefel H G L, Yang L, et al. Static envelope patterns in composite resonances generated by level crossing in optical toroidal microcavities [J]. Physical Review Letters, 2008, 100(10): 103905. doi: 10.1103/PhysRevLett.100.103905 |
[83] |
Savchenkov A A, Matsko A B, Liang W, et al. Kerr frequency comb generation in overmoded resonators [J]. Optics Express, 2012, 20(24): 27290-27298. doi: 10.1364/OE.20.027290 |
[84] |
Xue X X, Xuan Y, Wang C, et al. Thermal tuning of Kerr frequency combs in silicon nitride microring resonators [J]. Optics Express, 2016, 24(1): 687-698. doi: 10.1364/OE.24.000687 |
[85] |
Lin G, Diallo S, Saleh K, et al. Cascaded Brillouin lasing in monolithic barium fluoride whispering gallery mode resonators [J]. Applied Physics Letters, 2014, 105(23): 231103. doi: 10.1063/1.4903516 |
[86] |
Soltani M, Matsko A, Maleki L. Enabling arbitrary wavelength frequency combs on chip [J]. Laser & Photonics Reviews, 2016, 10(1): 158-162. doi: 10.1002/lpor.201500226 |
[87] |
Lee S H, Oh D Y, Yang Q F, et al. Towards visible soliton microcomb generation [J]. Nature Communications, 2017, 8: 1295. doi: 10.1038/s41467-017-01473-9 |
[88] |
Wang H, Lu Y K, Wu L, et al. Dirac solitons in optical microresonators [J]. Light: Science & Applications, 2020, 9(1): 205. doi: 10.1038/s41377-020-00438-w |
[89] |
Akhmediev N, Karlsson M. Cherenkov radiation emitted by solitons in optical fibers [J]. Physical Review A, 1995, 51(3): 2602-2607. doi: 10.1103/PhysRevA.51.2602 |
[90] |
Watanabe N, Tamura H, Musha M, et al. Optical frequency synthesizer for precision spectroscopy of Rydberg states of Rb atoms [J]. Japanese Journal of Applied Physics, 2017, 56(11): 112401. doi: 10.7567/JJAP.56.112401 |
[91] |
Dorche A E, Timucin D, Thyagarajan K, et al. Advanced dispersion engineering of a III-nitride micro-resonator for a blue frequency comb [J]. Optics Express, 2020, 28(21): 30542-30554. doi: 10.1364/OE.399901 |
[92] |
Choi G H, Gin A, Su J. Optical frequency combs in aqueous and air environments at visible to near-IR wavelengths [J]. Optics Express, 2022, 30(6): 8690-8699. doi: 10.1364/OE.451631 |