Recent advances in laser self-injection locking to high-Q microresonators
Nikita M. Kondratiev1(), Valery E. Lobanov2, Artem E. Shitikov2, Ramzil R. Galiev1, Dmitry A. Chermoshentsev2,3,4, Nikita Yu. Dmitriev2, Andrey N. Danilin2,5, Evgeny A. Lonshakov1, Kirill N. Min’kov2, Daria M. Sokol2,4, Steevy J. Cordette1, Yi-Han Luo6,7, Wei Liang8, Junqiu Liu6,7,9(), Igor A. Bilenko2,5
1. Directed Energy Research Centre, Technology Innovation Institute, Abu Dhabi, United Arab Emirates 2. Russian Quantum Center, Moscow, Russia 3. Skolkovo Institute of Science and Technology, Skolkovo, Russia 4. Moscow Institute of Physics and Technology, Dolgoprudny, Moscow Region, Russia 5. Faculty of Physics, Lomonosov Moscow State University, Moscow, Russia 6. Shenzhen Institute for Quantum Science and Engineering, Southern University of Science and Technology, Shenzhen 518055, China 7. International Quantum Academy, Shenzhen 518048, China 8. Key Laboratory of Nanodevices and Applications, Suzhou Institute of Nano-Tech and Nano-Bionics, Chinese Academy of Sciences, Suzhou 215123, China 9. Hefei National Laboratory, University of Science and Technology of China, Hefei 230026, China
The stabilization and manipulation of laser frequency by means of an external cavity are nearly ubiquitously used in fundamental research and laser applications. While most of the laser light transmits through the cavity, in the presence of some back-scattered light from the cavity to the laser, the self-injection locking effect can take place, which locks the laser emission frequency to the cavity mode of similar frequency. The self-injection locking leads to dramatic reduction of laser linewidth and noise. Using this approach, a common semiconductor laser locked to an ultrahigh-Q microresonator can obtain sub-Hertz linewidth, on par with state-of-the-art fiber lasers. Therefore it paves the way to manufacture high-performance semiconductor lasers with reduced footprint and cost. Moreover, with high laser power, the optical nonlinearity of the microresonator drastically changes the laser dynamics, offering routes for simultaneous pulse and frequency comb generation in the same microresonator. Particularly, integrated photonics technology, enabling components fabricated via semiconductor CMOS process, has brought increasing and extending interest to laser manufacturing using this method. In this article, we present a comprehensive tutorial on analytical and numerical methods of laser self-injection locking, as well a review of most recent theoretical and experimental achievements.
Corresponding Author(s):
Nikita M. Kondratiev,Junqiu Liu
引用本文:
. [J]. Frontiers of Physics, 2023, 18(2): 21305.
Nikita M. Kondratiev, Valery E. Lobanov, Artem E. Shitikov, Ramzil R. Galiev, Dmitry A. Chermoshentsev, Nikita Yu. Dmitriev, Andrey N. Danilin, Evgeny A. Lonshakov, Kirill N. Min’kov, Daria M. Sokol, Steevy J. Cordette, Yi-Han Luo, Wei Liang, Junqiu Liu, Igor A. Bilenko. Recent advances in laser self-injection locking to high-Q microresonators. Front. Phys. , 2023, 18(2): 21305.
W. P. Drever R. , L. Hall J. , V. Kowalski F. , Hough J. , M. Ford G. , J. Munley A. , Ward H. . Laser phase and frequency stabilization using an optical resonator. Appl. Phys. B, 1983, 31(2): 97 https://doi.org/10.1007/BF00702605
3
R. Telle H. . Narrow linewidth laser diodes with broad continuous tuning range. Appl. Phys. B, 1989, 49(3): 217 https://doi.org/10.1007/BF00714639
4
Zhu M. , L. Hall J. . Stabilization of optical phase/frequency of a laser system: Application to a commercial dye laser with an external stabilizer. J. Opt. Soc. Am. B, 1993, 10(5): 802 https://doi.org/10.1364/JOSAB.10.000802
5
Kourogi M. , Ohtsu M. . Novel optical frequency discriminator for FM noise reduction of semiconductor lasers. Opt. Commun., 1991, 81(3−4): 204 https://doi.org/10.1016/0030-4018(91)90639-U
6
Ohta T. , Murakami K. . Reducing negative resistance oscillator noise by self-injection. Electron. Commun. Jpn., 1968, 51-B: 80
7
Ohta T.Makino S.Nakano H.Endo S.Ono S., New self-injection oscillator using directional filter. 1973 3rd European Microwave Conference (1973), Vol. 1, pp 1–4
8
Ota T. , Nata M. . Noise reduction of oscillator by injection locking. Trans. IECEJ, 1970, 53-B: 487
9
C. Chang H. . Phase noise in self-injection-locked oscillators - theory and experiment. IEEE Trans. Microw. Theory Tech., 2003, 51(9): 1994 https://doi.org/10.1109/TMTT.2003.815872
10
C. Chang H. . Stability analysis of self-injection-locked oscillators. IEEE Trans. Microw. Theory Tech., 2003, 51(9): 1989 https://doi.org/10.1109/TMTT.2003.815863
11
J. Choi J. , W. Choi G. . Experimental observation of frequency locking and noise reduction in a self-injection-locked magnetron. IEEE Trans. Electron. Devices, 2007, 54: 3430 https://doi.org/10.1109/TED.2007.908879
12
P. Bliokh Y. , E. Krasik Y. , Felsteiner J. . Self-injection-locked magnetron as an active ring resonator side coupled to a waveguide with a delayed feedback loop. IEEE Trans. Plasma Sci., 2012, 40(1): 78 https://doi.org/10.1109/TPS.2011.2173805
13
Y. Glyavin M. , G. Denisov G. , L. Kulygin M. , V. Novozhilova Y. . Stabilization of gyrotron frequency by reflection from nonresonant and resonant loads. Tech. Phys. Lett., 2015, 41(7): 628 https://doi.org/10.1134/S106378501507007X
14
M. Melnikova M. , G. Rozhnev A. , M. Ryskin N. , V. Tyshkun A. , Y. Glyavin M. , V. Novozhilova Y. . Frequency stabilization of a 0.67-THz gyrotron by self-injection locking. IEEE Trans. Electron Dev., 2016, 63(3): 1288 https://doi.org/10.1109/TED.2015.2512868
15
Zhang L. , K. Poddar A. , L. Rohde U. , S. Daryoush A. . Self-ilpll using optical feedback for phase noise reduction in microwave oscillators. IEEE Photonics Technol. Lett., 2015, 27(6): 624 https://doi.org/10.1109/LPT.2014.2386868
16
Zhang L.K. Poddar A.L. Rohde U.S. Daryoush A., Phase noise reduction in RF oscillators utilizing self-injection locked and phase locked loop, 2015 IEEE 15th Topical Meeting on Silicon Monolithic Integrated Circuits in RF Systems (2015), pp 86–88
17
Dahmani B. , Hollberg L. , Drullinger R. . Frequency stabilization of semiconductor lasers by resonant optical feedback. Opt. Lett., 1987, 12(11): 876 https://doi.org/10.1364/OL.12.000876
18
Li H. , B. Abraham N. . Power spectrum of frequency noise of semiconductor lasers with optical feedback from a high-finesse resonator. Appl. Phys. Lett., 1988, 53(23): 2257 https://doi.org/10.1063/1.100271
19
Laurent P. , Clairon A. , Breant C. . Frequency noise analysis of optically self-locked diode lasers. IEEE J. Quantum Electron., 1989, 25(6): 1131 https://doi.org/10.1109/3.29238
20
Liang W. , Ilchenko V. , Savchenkov A. , Matsko A. , Seidel D. , Maleki L. . Whispering-gallery-mode-resonator-based ultranarrow linewidth external-cavity semiconductor laser. Opt. Lett., 2010, 35(16): 2822 https://doi.org/10.1364/OL.35.002822
21
Liang W. , Ilchenko V. , D. Eliyahu A. , A. Savchenkov A. , B. Matsko A. , Seidel D. , Maleki L. . Ultralow noise miniature external cavity semiconductor laser. Nat. Commun., 2015, 6(1): 7371 https://doi.org/10.1038/ncomms8371
22
Velichanskii V. , Zibrov A. , Kargopol’tsev V. , Molochev V. , Nikitin V. , Sautenkov V. . et al.. Minimum line width of an injection laser. Sov. Tech. Phys. Lett., 1978, 4
23
Lang R. , Kobayashi K. . External optical feedback effects on semiconductor injection laser properties. IEEE J. Quantum Electron., 1980, 16(3): 347 https://doi.org/10.1109/JQE.1980.1070479
24
Belenov É. , Velichanskiĭ V. , Zibrov A. , Nikitin V. , Sautenkov V. , Uskov A. . Methods for narrowing the emission line of an injection laser. Sov. J. Quantum Electron., 1983, 13(6): 792 https://doi.org/10.1070/QE1983v013n06ABEH004318
25
Patzak E. , Olesen H. , Sugimura A. , Saito S. , Mukai T. . Spectral linewidth reduction in semiconductor lasers by an external cavity with weak optical feedback. Electron. Lett., 1983, 19: 938 https://doi.org/10.1049/el:19830640
26
Patzak E. , Sugimura A. , Saito S. , Mukai T. , Olesen H. . Semiconductor laser linewidth in optical feedback configurations. Electron. Lett., 1983, 19: 1026 https://doi.org/10.1049/el:19830695
Agrawal G. . Line narrowing in a single-mode injection laser due to external optical feedback. IEEE J. Quantum Electron., 1984, 20(5): 468 https://doi.org/10.1109/JQE.1984.1072420
29
Tkach R. , Chraplyvy A. . Regimes of feedback effects in 1.5-µm distributed feedback lasers. J. Lightwave Technol., 1986, 4(11): 1655 https://doi.org/10.1109/JLT.1986.1074666
30
Olesen H. , Saito S. , Mukai T. , Saitoh T. , Mikami O. . Solitary spectral linewidth and its reduction with external grating feedback for a 1.55 µm InGaAsP BH laser. Jpn. J. Appl. Phys., 1983, 22(10A): L664 https://doi.org/10.1143/JJAP.22.L664
31
Saito S. , Nilsson O. , Yamamoto Y. . Oscillation center frequency tuning, quantum FM noise, and direct frequency characteristics in external grating loaded semiconductor lasers. IEEE J. Quantum Electron., 1982, 18(6): 961 https://doi.org/10.1109/JQE.1982.1071636
32
Acket G. , Lenstra D. , Den Boef A. , Verbeek B. . The influence of feedback intensity on longitudinal mode properties and optical noise in index-guided semiconductor lasers. IEEE J. Quantum Electron., 1984, 20(10): 1163 https://doi.org/10.1109/JQE.1984.1072281
33
Petermann K. . External optical feedback phenomena in semiconductor lasers. IEEE J. Sel. Top. Quantum Electron., 1995, 1(2): 480 https://doi.org/10.1109/2944.401232
34
Donati S. . Developing self-mixing interferometry for instrumentation and measurements. Laser Photonics Rev., 2012, 6(3): 393 https://doi.org/10.1002/lpor.201100002
35
Hollberg L. , Ohtsu M. . Modulatable narrow-linewidth semiconductor lasers. Appl. Phys. Lett., 1988, 53(11): 944 https://doi.org/10.1063/1.100077
36
Li H. , B. Abraham N. . Analysis of the noise spectra of a laser diode with optical feedback from a high-finesse resonator. IEEE J. Quantum Electron., 1989, 25(8): 1782 https://doi.org/10.1109/3.34036
37
Hemmerich A. , McIntyre D. , Jr Schropp D. , Meschede D. , Hansch T. . Optically stabilized narrow linewidth semiconductor laser for high resolution spectroscopy. Opt. Commun., 1990, 75(2): 118 https://doi.org/10.1016/0030-4018(90)90239-P
38
Hemmerich A. , Zimmermann C. , W. Hansch T. . Compact source of coherent blue light. Appl. Opt., 1994, 33(6): 988 https://doi.org/10.1364/AO.33.000988
39
Hemmerich A. , H. McIntyre D. , Zimmermann C. , W. Hansen T. . Second-harmonic generation and optical stabilization of a diode laser in an external ring resonator. Opt. Lett., 1990, 15(7): 372 https://doi.org/10.1364/OL.15.000372
40
R. Hjelme D. , R. Mickelson A. , G. Beausoleil R. . Semiconductor laser stabilization by external optical feedback. IEEE J. Quantum Electron., 1991, 27(3): 352 https://doi.org/10.1109/3.81333
41
Zhao Y. , Peng Y. , Yang T. , Li Y. , Wang Q. , Meng F. , Cao J. , Fang Z. , Li T. , Zang E. . External cavity diode laser with kilohertz linewidth by a monolithic folded Fabry–Pérot cavity optical feedback. Opt. Lett., 2011, 36(1): 34 https://doi.org/10.1364/OL.36.000034
42
Y Liu . Liang W. Compact narrow linewidth external cavity semiconductor laser realized by self-injection locking to Fabry−Pérot cavity. Chin. J. Lasers, 2021, 48: 1715001 https://doi.org/10.3788/CJL202148.1715001
43
Braginsky V. , Gorodetsky M. , Ilchenko V. . Quality-factor and nonlinear properties of optical whispering-gallery modes. Phys. Lett. A, 1989, 137(7−8): 393 https://doi.org/10.1016/0375-9601(89)90912-2
44
A. Savchenkov A. , S. Ilchenko V. , B. Matsko A. , Maleki L. . Kilohertz optical resonances in dielectric crystal cavities. Phys. Rev. A, 2004, 70(5): 051804 https://doi.org/10.1103/PhysRevA.70.051804
45
B. Matsko A. , S. Ilchenko V. . Optical resonators with whispering-gallery modes (part I): basics. IEEE J. Sel. Top. Quantum Electron., 2006, 12(1): 3 https://doi.org/10.1109/JSTQE.2005.862952
46
A. Savchenkov A. , B. Matsko A. , S. Ilchenko V. , Maleki L. . Optical resonators with ten million finesse. Opt. Express, 2007, 15(11): 6768 https://doi.org/10.1364/OE.15.006768
47
Ward J.Benson O., WGM microresonators: Sensing, lasing and fundamental optics with microspheres, Laser Photonics Rev. 5(4), 553 (2011)
48
Lin G. , Diallo S. , Henriet R. , Jacquot M. , K. Chembo Y. . Barium fluoride whispering-gallery-mode disk-resonator with one billion quality-factor. Opt. Lett., 2014, 39: 6009 https://doi.org/10.1364/OL.39.006009
49
Henriet R. , Lin G. , Coillet A. , Jacquot M. , Furfaro L. , Larger L. , K. Chembo Y. . Kerr optical frequency comb generation in strontium fluoride whispering-gallery mode resonators with billion quality factor. Opt. Lett., 2015, 40(7): 1567 https://doi.org/10.1364/OL.40.001567
50
V. Strekalov D. , Marquardt C. , B. Matsko A. , G. L. Schwefel H. , Leuchs G. . Nonlinear and quantum optics with whispering gallery resonators. J. Opt., 2016, 18(12): 123002 https://doi.org/10.1088/2040-8978/18/12/123002
51
S. Grudinin I. , B. Matsko A. , A. Savchenkov A. , Strekalov D. , S. Ilchenko V. , Maleki L. . Ultra high Q crystalline microcavities. Opt. Commun., 2006, 265(1): 33 https://doi.org/10.1016/j.optcom.2006.03.028
52
Lecaplain C. , Javerzac-Galy C. , L. Gorodetsky M. , J. Kippenberg T. . Mid-infrared ultra-high-Q resonators based on fluoride crystalline materials. Nat. Commun., 2016, 7(1): 13383 https://doi.org/10.1038/ncomms13383
53
E. Shitikov A. , A. Bilenko I. , M. Kondratiev N. , E. Lobanov V. , Markosyan A. , L. Gorodetsky M. . Billion Q-factor in silicon WGM resonators. Optica, 2018, 5(12): 1525 https://doi.org/10.1364/OPTICA.5.001525
54
Vassiliev V. , Velichansky V. , Ilchenko V. , Gorodetsky M. , Hollberg L. , Yarovitsky A. . Narrow-line-width diode laser with a high-Q microsphere resonator. Opt. Commun., 1998, 158(1-6): 305 https://doi.org/10.1016/S0030-4018(98)00578-1
55
L. Gorodetsky M. , D. Pryamikov A. , S. Ilchenko V. . Rayleigh scattering in high-Q microspheres. J. Opt. Soc. Am. B, 2000, 17(6): 1051 https://doi.org/10.1364/JOSAB.17.001051
56
S. Ilchenko V. , S. Yao X. , Maleki L. . High-Q microsphere cavity for laser stabilization and optoelectronic microwave oscillator. Laser Resonators II, 1999, 3611: 190 https://doi.org/10.1117/12.349244
57
N. Oraevsky A. , V. Yarovitsky A. , L. Velichansky V. . Frequency stabilisation of a diode laser by a whispering-gallery mode. Quantum Electron., 2001, 31(10): 897 https://doi.org/10.1070/QE2001v031n10ABEH002073
58
P. Rezac J.T. Rosenberger A., Locking and laser-frequency tracking of a microsphere whispering-gallery mode, Laser Resonators IV 4270, 112 (2001) (SPIE)
59
Bilenko I.Samoilenko A.S. Ilchenko V., Measurement of small stress fluctuations in fused silica fibers using an optical microcavity sensor, Laser Resonators and Beam Control V 4629, 222 (2002) (SPIE)
60
B. Matsko A. , A. Savchenkov A. , Yu N. , Maleki L. . Whispering-gallery-mode resonators as frequency references (I): Fundamental limitations. J. Opt. Soc. Am. B, 2007, 24: 1324 https://doi.org/10.1364/JOSAB.24.001324
61
Kondratiev N. , Gorodetsky M. . Thermorefractive noise in whispering gallery mode microresonators: Analytical results and numerical simulation. Phys. Lett. A, 2018, 382: 2265 https://doi.org/10.1016/j.physleta.2017.04.043
62
Huang D. , A. Tran M. , Guo J. , Peters J. , Komljenovic T. , Malik A. , A. Morton P. , E. Bowers J. . High-power sub-khz linewidth lasers fully integrated on silicon. Optica, 2019, 6(6): 745 https://doi.org/10.1364/OPTICA.6.000745
63
Vassiliev V. , Il’ina S. , Velichansky V. . Diode laser coupled to a high-Q microcavity via a GRIN lens. Appl. Phys. B, 2003, 76(5): 521 https://doi.org/10.1007/s00340-003-1151-5
64
Dale E. , Bagheri M. , Matsko A. , Frez C. , Liang W. , Forouhar S. . et al.. Microresonator stabilized 2µm distributed-feedback GaSb-based diode laser. Opt. Lett., 2016, 41: 5559 https://doi.org/10.1364/OL.41.005559
65
Xie Z. , Liang W. , A. Savchenkov A. , Lim J. , Burkhart J. , McDonald M. , Zelevinsky T. , S. Ilchenko V. , B. Matsko A. , Maleki L. , W. Wong C. . Extended ultrahigh-Q-cavity diode laser. Opt. Lett., 2015, 40(11): 2596 https://doi.org/10.1364/OL.40.002596
66
Savchenkov A. , Eliyahu D. , Heist B. , Matsko A. , Bagheri M. , Frez C. , Forouhar S. . On acceleration sensitivity of 2 µm whispering gallery mode-based semiconductor self-injection locked laser. Appl. Opt., 2019, 58(9): 2138 https://doi.org/10.1364/AO.58.002138
67
Savchenkov A. , Lopez E. , Solomatine I. , Eliyahu D. , Matsko A. , Maleki L. . Spectral purity improvement in flickering self-injection locked lasers. IEEE J. Quantum Electron., 2022, 58(5): 1 https://doi.org/10.1109/JQE.2022.3196704
68
G. Pavlov N. , Koptyaev S. , V. Lihachev G. , S. Voloshin A. , S. Gorodnitskiy A. , V. Ryabko M. , V. Polonsky S. , L. Gorodetsky M. . Narrow-linewidth lasing and soliton Kerr microcombs with ordinary laser diodes. Nat. Photonics, 2018, 12(11): 694 https://doi.org/10.1038/s41566-018-0277-2
R. Galiev R. , G. Pavlov N. , M. Kondratiev N. , Koptyaev S. , E. Lobanov V. , S. Voloshin A. , S. Gorodnitskiy A. , L. Gorodetsky M. . Spectrum collapse, narrow linewidth, and Bogatov effect in diode lasers locked to high-Q optical microresonators. Opt. Express, 2018, 26(23): 30509 https://doi.org/10.1364/OE.26.030509
71
G. Pavlov N. , V. Lihachev G. , S. Voloshin A. , Koptyaev S. , M. Kondratiev N. , E. Lobanov V. . et al.. Narrow linewidth diode laser self-injection locked to a high-Q microresonator. AIP Conf. Proc., 2018, 1936: 020005 https://doi.org/10.1063/1.5025443
72
A. Savchenkov A. , W. Chiow S. , Ghasemkhani M. , Williams S. , Yu N. , C. Stirbl R. , B. Matsko A. . Self-injection locking efficiency of a UV Fabry−Pérot laser diode. Opt. Lett., 2019, 44(17): 4175 https://doi.org/10.1364/OL.44.004175
73
A. Savchenkov A. , E. Christensen J. , Hucul D. , C. Campbell W. , R. Hudson E. , Williams S. , B. Matsko A. . Application of a self-injection locked cyan laser for barium ion cooling and spectroscopy. Sci. Rep., 2020, 10(1): 16494 https://doi.org/10.1038/s41598-020-73373-w
74
Yacoby E. , Goren C. , Goldring S. , Guendelman G. , Pearl S. . Discretely tunable, single mode lasing from a multimode diode laser, locked to silica microsphere resonator. Opt. Laser Technol., 2021, 143: 107343 https://doi.org/10.1016/j.optlastec.2021.107343
75
Ji J. , Wang H. , Ma J. , Guo J. , Zhang J. , Tang D. , Shen D. . Narrow linewidth self-injection locked fiber laser based on a crystalline resonator in add-drop configuration. Opt. Lett., 2022, 47(6): 1525 https://doi.org/10.1364/OL.450458
Lee H. , Chen T. , Li J. , Y. Yang K. , Jeon S. , Painter O. , J. Vahala K. . Chemically etched ultrahigh-Q wedge-resonator on a silicon chip. Nat. Photonics, 2012, 6(6): 369 https://doi.org/10.1038/nphoton.2012.109
78
Y. Yang K. , Beha K. , C. Cole D. , Yi X. , Del’Haye P. , Lee H. , Li J. , Y. Oh D. , A. Diddams S. , B. Papp S. , J. Vahala K. . Broadband dispersion-engineered microresonator on a chip. Nat. Photonics, 2016, 10(5): 316 https://doi.org/10.1038/nphoton.2016.36
79
Wu L. , Wang H. , Yang Q. , Ji Q. , Shen B. , Bao C. , Gao M. , Vahala K. . Greater than one billion Q factor for on-chip microresonators. Opt. Lett., 2020, 45(18): 5129 https://doi.org/10.1364/OL.394940
80
T. Spencer D. , F. Bauters J. , J. R. Heck M. , E. Bowers J. . Integrated waveguide coupled Si3N4 resonators in the ultrahigh-Q regime. Optica, 2014, 1(3): 153 https://doi.org/10.1364/OPTICA.1.000153
81
Xuan Y. , Liu Y. , T. Varghese L. , J. Metcalf A. , Xue X. , H. Wang P. , Han K. , A. Jaramillo-Villegas J. , Al Noman A. , Wang C. , Kim S. , Teng M. , J. Lee Y. , Niu B. , Fan L. , Wang J. , E. Leaird D. , M. Weiner A. , Qi M. . High-Q silicon nitride microresonators exhibiting low-power frequency comb initiation. Optica, 2016, 3(11): 1171 https://doi.org/10.1364/OPTICA.3.001171
82
H. P. Pfeiffer M. , Kordts A. , Brasch V. , Zervas M. , Geiselmann M. , D. Jost J. , J. Kippenberg T. . Photonic Damascene process for integrated high-Q microresonator based nonlinear photonics. Optica, 2016, 3(1): 20 https://doi.org/10.1364/OPTICA.3.000020
83
Ye Z. , Twayana K. , A. Andrekson P. , Torres-Company V. . High-Q Si3N4 microresonators based on a subtractive processing for Kerr nonlinear optics. Opt. Express, 2019, 27(24): 35719 https://doi.org/10.1364/OE.27.035719
84
Ji X. , Roberts S. , Corato-Zanarella M. , Lipson M. . Methods to achieve ultra-high quality factor silicon nitride resonators. APL Photonics, 2021, 6(7): 071101 https://doi.org/10.1063/5.0057881
85
Stern B. , Ji X. , Okawachi Y. , Gaeta A. , Lipson M. . Battery-operated integrated frequency comb generator. Nature, 2018, 562(7727): 401 https://doi.org/10.1038/s41586-018-0598-9
86
Li Y. , Zhang Y. , Chen H. , Yang S. , Chen M. . Tunable self-injected Fabry–Pérot laser diode coupled to an external high-Q Si3N4/SiO2 microring resonator. J. Lightwave Technol., 2018, 36(16): 3269 https://doi.org/10.1109/JLT.2018.2838325
S. Raja A. , S. Voloshin A. , Guo H. , E. Agafonova S. , Liu J. , S. Gorodnitskiy A. , Karpov M. , G. Pavlov N. , Lucas E. , R. Galiev R. , E. Shitikov A. , D. Jost J. , L. Gorodetsky M. , J. Kippenberg T. . Electrically pumped photonic integrated soliton microcomb. Nat. Commun., 2019, 10(1): 680 https://doi.org/10.1038/s41467-019-08498-2
89
Shen B. , Chang L. , Liu J. , Wang H. , F. Yang Q. , Xiang C. , N. Wang R. , He J. , Liu T. , Xie W. , Guo J. , Kinghorn D. , Wu L. , X. Ji Q. , J. Kippenberg T. , Vahala K. , E. Bowers J. . Integrated turnkey soliton microcombs. Nature, 2020, 582(7812): 365 https://doi.org/10.1038/s41586-020-2358-x
90
S. Raja A. , Liu J. , Volet N. , N. Wang R. , He J. , Lucas E. , Bouchandand R. , Morton P. , Bowers J. , J. Kippenberg T. . Chip-based soliton microcomb module using a hybrid semiconductor laser. Opt. Express, 2020, 28(3): 2714 https://doi.org/10.1364/OE.28.002714
91
Kovach A. , Chen D. , He J. , Choi H. , H. Dogan A. , Ghasemkhani M. . et al.. Emerging material systems for integrated optical Kerr frequency combs. Adv. Opt. Photon., 2020, 12: 135 https://doi.org/10.1364/AOP.376924
92
Jin W. , F. Yang Q. , Chang L. , Shen B. , Wang H. , A. Leal M. , Wu L. , Gao M. , Feshali A. , Paniccia M. , J. Vahala K. , E. Bowers J. . Hertz-linewidth semiconductor lasers using CMOS-ready ultra-high-Q microresonators. Nat. Photonics, 2021, 15(5): 346 https://doi.org/10.1038/s41566-021-00761-7
93
Shim E. , Gil-Molina A. , Westreich O. , Dikmelik Y. , Lascola K. , L. Gaeta A. , Lipson M. . Tunable single-mode chip-scale mid-infrared laser. Commun. Phys., 2021, 4(1): 268 https://doi.org/10.1038/s42005-021-00770-6
94
Lihachev G. , Riemensberger J. , Weng W. , Liu J. , Tian H. , Siddharth A. , Snigirev V. , Shadymov V. , Voloshin A. , N. Wang R. , He J. , A. Bhave S. , J. Kippenberg T. . Low-noise frequency-agile photonic integrated lasers for coherent ranging. Nat. Commun., 2022, 13(1): 3522 https://doi.org/10.1038/s41467-022-30911-6
95
Siddharth A. , Wunderer T. , Lihachev G. , S. Voloshin A. , Haller C. , N. Wang R. . et al.. Near ultraviolet photonic integrated lasers based on silicon nitride. APL Photon., 2022, 7: 046108 https://doi.org/10.1063/5.0081660
96
Guo J. , A. McLemore C. , Xiang C. , Lee D. , Wu L. , Jin W. , Kelleher M. , Jin N. , Mason D. , Chang L. , Feshali A. , Paniccia M. , T. Rakich P. , J. Vahala K. , A. Diddams S. , Quinlan F. , E. Bowers J. . Chip-based laser with 1-Hertz integrated linewidth. Sci. Adv., 2022, 8(43): eabp9006 https://doi.org/10.1126/sciadv.abp9006
97
A. Korobko D. , O. Zolotovskii I. , Panajotov K. , V. Spirin V. , A. Fotiadi A. . Self-injection-locking linewidth narrowing in a semiconductor laser coupled to an external fiber-optic ring resonator. Opt. Commun., 2017, 405: 253 https://doi.org/10.1016/j.optcom.2017.08.040
98
V. Spirin V. , L. Bueno Escobedo J. , A. Korobko D. , Mégret P. , A. Fotiadi A. . Stabilizing DFB laser injection-locked to an external fiber-optic ring resonator. Opt. Express, 2020, 28(1): 478 https://doi.org/10.1364/OE.28.000478
99
Shao S. , Li J. , Wu Y. , Yang S. , Chen H. , Chen M. . Modulation bandwidth enhanced self-injection locking laser with an external high-Q microring reflector. Opt. Lett., 2021, 46: 3251 https://doi.org/10.1364/OL.432152
100
Jiang L. , Shi L. , Luo J. , Gao Q. , Lan T. , Huang L. , Zhu T. . Narrow linewidth VCSEL based on resonant optical feedback from an on-chip microring add-drop filter. Opt. Lett., 2021, 46(10): 2320 https://doi.org/10.1364/OL.424496
101
Jiang L. , Shi L. , Luo J. , Gao Q. , Bai M. , Lan T. , I. Iroegbu P. , Dang L. , Huang L. , Zhu T. . Simultaneous self-injection locking of two VCSELs to a single whispering-gallery-mode microcavity. Opt. Express, 2021, 29(23): 37845 https://doi.org/10.1364/OE.441595
102
V. Vasil’ev V. , L. Velichansky V. , L. Gorodetskii M. , S. Il’chenko V. , Holberg L. , V. Yarovitsky A. . High-coherence diode laser with optical feedback via a microcavity with “whispering gallery” modes. Quantum Electron., 1996, 26(8): 657 https://doi.org/10.1070/QE1996v026n08ABEH000747
103
Liang W. , S. Ilchenko V. , Eliyahu D. , Dale E. , A. Savchenkov A. , Seidel D. . et al.. Compact stabilized semiconductor laser for frequency metrology. Appl. Opt., 2015, 54: 3353 https://doi.org/10.1364/AO.54.003353
104
Sprenger B. , G. L. Schwefel H. , J. Wang L. . Whispering-gallery-mode-resonator-stabilized narrow-linewidth fiber loop laser. Opt. Lett., 2009, 34(21): 3370 https://doi.org/10.1364/OL.34.003370
105
R. Galiev R. , M. Kondratiev N. , E. Lobanov V. , B. Matsko A. , A. Bilenko I. . Optimization of laser stabilization via self-injection locking to a whispering-gallery-mode microresonator. Phys. Rev. Appl., 2020, 14(1): 014036 https://doi.org/10.1103/PhysRevApplied.14.014036
106
M. Kondratiev N. , E. Lobanov V. , V. Cherenkov A. , S. Voloshin A. , G. Pavlov N. , Koptyaev S. , L. Gorodetsky M. . Self-injection locking of a laser diode to a high-Q WGM microresonator. Opt. Express, 2017, 25(23): 28167 https://doi.org/10.1364/OE.25.028167
107
Kazarinov R. , Henry C. . The relation of line narrowing and chirp reduction resulting from the coupling of a semiconductor laser to passive resonator. IEEE J. Quantum Electron., 1987, 23(9): 1401 https://doi.org/10.1109/JQE.1987.1073531
108
Osinski M. , Buus J. . Linewidth broadening factor in semiconductor lasers–an overview. IEEE J. Quantum Electron., 1987, 23(1): 9 https://doi.org/10.1109/JQE.1987.1073204
109
M. Kondratiev N.Galiev R.Gorelov I.Shitikov A.Lobanov V., Strong-feedback regime of self-injection locking and external cavity laser, Eds. : M. Sciamanna, K. Panajotov, and S. Hofling, Semiconductor Lasers and Laser Dynamics X. International Society for Optics and Photonics (SPIE) (2022), Vol. 12141, 121410K
110
M. Kondratiev N. , E. Lobanov V. , A. Lonshakov E. , Y. Dmitriev N. , S. Voloshin A. , A. Bilenko I. . Numerical study of solitonic pulse generation in the self-injection locking regime at normal and anomalous group velocity dispersion. Opt. Express, 2020, 28(26): 38892 https://doi.org/10.1364/OE.411544
111
E. Shitikov A. , I. Lykov I. , V. Benderov O. , A. Chermoshentsev D. , K. Gorelov I. , N. Danilin A. , R. Galiev R. , M. Kondratiev N. , J. Cordette S. , V. Rodin A. , V. Masalov A. , E. Lobanov V. , A. Bilenko I. . Optimization of laser stabilization via self-injection locking to a whispering-gallery-mode microresonator: Experimental study. Opt. Express, 2023, 31(1): 313 https://doi.org/10.1364/OE.478009
112
E. Shitikov A. , V. Benderov O. , M. Kondratiev N. , E. Lobanov V. , V. Rodin A. , A. Bilenko I. . Microresonator and laser parameter definition via self-injection locking. Phys. Rev. Appl., 2020, 14(6): 064047 https://doi.org/10.1103/PhysRevApplied.14.064047
113
P. Bogatov A. , G. Eliseev P. , N. Sverdlov B. . Anomalous interaction of spectral modes in a semiconductor laser. Sov. J. Quantum Electron., 1975, 4(10): 1275 https://doi.org/10.1070/QE1975v004n10ABEH011736
114
Bogatov A. , Eliseev P. , Sverdlov B. . Anomalous interaction of spectral modes in a semiconductor laser. IEEE J. Quantum Electron., 1975, 11(7): 510 https://doi.org/10.1109/JQE.1975.1068658
115
Yamada M. . Theoretical analysis of nonlinear optical phenomena taking into account the beating vibration of the electron density in semiconductor lasers. J. Appl. Phys., 1989, 66(1): 81 https://doi.org/10.1063/1.343860
116
Yamada M. , Suematsu Y. . Analysis of gain suppression in undoped injection lasers. J. Appl. Phys., 1981, 52(4): 2653 https://doi.org/10.1063/1.329064
117
Ishikawa H. , Yano M. , Takusagawa M. . Mechanism of asymmetric longitudinal mode competition in InGaAsP/InP lasers. Appl. Phys. Lett., 1982, 40(7): 553 https://doi.org/10.1063/1.93176
118
M. Kondratiev N.R. Galiev R.E. Lobanov V.A. Bilenko I., Multimode laser diode self-injection locking to a whispering gallery mode microresonator modeling, Frontiers in Optics + Laser Science 2021 (Optica Publishing Group) (2021), JTu1A. 119
119
A. Demchenko Y. , L. Gorodetsky M. . Analytical estimates of eigenfrequencies, dispersion, and field distribution in whispering gallery resonators. J. Opt. Soc. Am. B, 2013, 30(11): 3056 https://doi.org/10.1364/JOSAB.30.003056
120
Lucas E. , Lihachev G. , Bouchand R. , G. Pavlov N. , S. Raja A. , Karpov M. , L. Gorodetsky M. , J. Kippenberg T. . Spatial multiplexing of soliton microcombs. Nat. Photonics, 2018, 12(11): 699 https://doi.org/10.1038/s41566-018-0256-7
121
Spano P. , Piazzolla S. , Tamburrini M. . Theory of noise in semiconductor lasers in the presence of optical feedback. IEEE J. Quantum Electron., 1984, 20(4): 350 https://doi.org/10.1109/JQE.1984.1072403
R. Galiev R. , M. Kondratiev N. , E. Lobanov V. , B. Matsko A. , A. Bilenko I. . Mirror-assisted self-injection locking of a laser to a whispering-gallery-mode microresonator. Phys. Rev. Appl., 2021, 16(6): 064043 https://doi.org/10.1103/PhysRevApplied.16.064043
124
Corato-Zanarella M.Gil-Molina A.Ji X.C. Shin M.Mohanty A.Lipson M., Widely tunable and narrow-linewidth chip-scale lasers from near-ultraviolet to near-infrared wavelengths, Nat. Photonics (2022)
125
Cumis M. Siciliani de , Borri S. , Insero G. , Galli I. , Savchenkov A. , Eliyahu D. . et al.. Microcavity-stabilized quantum cascade laser. Laser Photon. Rev., 2016, 10: 153 https://doi.org/10.1002/lpor.201500214
126
Lim J. , A. Savchenkov A. , Dale E. , Liang W. , Eliyahu D. , Ilchenko V. , B. Matsko A. , Maleki L. , W. Wong C. . Chasing the thermodynamical noise limit in whispering-gallery-mode resonators for ultrastable laser frequency stabilization. Nat. Commun., 2017, 8(1): 8 https://doi.org/10.1038/s41467-017-00021-9
127
Savchenkov A. , Matsko A. . Calcium fluoride whispering gallery mode optical resonator with reduced thermal sensitivity. J. Opt., 2018, 20(3): 035801 https://doi.org/10.1088/2040-8986/aaa6f9
128
Zhao Q. , O. Behunin R. , T. Rakich P. , Chauhan N. , Isichenko A. , Wang J. , Hoyt C. , Fertig C. , Lin M. , J. Blumenthal D. . Low-loss low thermo-optic coefficient Ta2O5 on crystal quartz planar optical waveguides. APL Photonics, 2020, 5(11): 116103 https://doi.org/10.1063/5.0024743
129
Fu M. , Zheng Y. , Li G. , Hu H. , Pu M. , K. Oxenløwe L. , H. Frandsen L. , Li X. , Guan X. . High-Q titanium dioxide micro-ring resonators for integrated nonlinear photonics. Opt. Express, 2020, 28(26): 39084 https://doi.org/10.1364/OE.404821
130
Hegeman I. , Dijkstra M. , B. Segerink F. , Lee W. , M. Garcia-Blanco S. . Development of low-loss TiO2 waveguides. Opt. Express, 2020, 28(5): 5982 https://doi.org/10.1364/OE.380793
131
He L. , F. Xiao Y. , Dong C. , Zhu J. , Gaddam V. , Yang L. . Compensation of thermal refraction effect in high-Q toroidal microresonator by polydimethylsiloxane coating. Appl. Phys. Lett., 2008, 93(20): 201102 https://doi.org/10.1063/1.3030986
132
Guha B. , Cardenas J. , Lipson M. . Athermal silicon microring resonators with titanium oxide cladding. Opt. Express, 2013, 21(22): 26557 https://doi.org/10.1364/OE.21.026557
133
S. Djordjevic S.Shang K.Guan B.T. S. Cheung S.Liao L.Basak J.F. Liu H.J. B. Yoo S., CMOS-compatible, athermal silicon ring modulators clad with titanium dioxide, Opt. Express 21(12), 13958 (2013)
134
Qiu F. , M. Spring A. , Yokoyama S. . Athermal and high-Q hybrid TiO2–Si3N4 ring resonator via an etching-free fabrication technique. ACS Photonics, 2015, 2(3): 405 https://doi.org/10.1021/ph500450n
135
Ling J. , He Y. , Luo R. , Li M. , Liang H. , Lin Q. . Athermal lithium niobate microresonator. Opt. Express, 2020, 28(15): 21682 https://doi.org/10.1364/OE.398363
136
Yang Z. , Wang Z. , Zhang R. , Xu P. , Zhang W. , Kang Z. , Wang R. . Athermal chalcogenide microresonator cladded with polymer. IEEE Photonics J., 2022, 14(5): 1 https://doi.org/10.1109/JPHOT.2022.3203731
137
J. Wang T. , K. Chen P. , T. Li Y. , N. Sung A. . Athermal high-Q tantalum-pentoxide-based microresonators on silicon substrates. Opt. Laser Technol., 2021, 138: 106925 https://doi.org/10.1016/j.optlastec.2021.106925
138
Wang M. , J. Perez-Morelo D. , Aksyuk V. . Overcoming thermo-optical dynamics in broadband nanophotonic sensing. Microsyst. Nanoeng., 2021, 7(1): 52 https://doi.org/10.1038/s41378-021-00281-y
L. Gorodetsky M. , S. Grudinin I. . Fundamental thermal fluctuations in microspheres. J. Opt. Soc. Am. B, 2004, 21(4): 697 https://doi.org/10.1364/JOSAB.21.000697
Huang G. , Lucas E. , Liu J. , S. Raja A. , Lihachev G. , L. Gorodetsky M. , J. Engelsen N. , J. Kippenberg T. . Thermorefractive noise in silicon−nitride microresonators. Phys. Rev. A, 2019, 99(6): 061801 https://doi.org/10.1103/PhysRevA.99.061801
143
I. Pavlov V.Y. Blinov I.P. Khatyrev N.M. Kondratiev N.A. Bilenko I., Numerical simulation of influence of the thermal and mechanical fluctuations in the coupling elements of microresonators, 2021 Joint Conference of the European Frequency and Time Forum and IEEE International Frequency Control Symposium (EFTF/IFCS) (2021), pp 1–4
144
Panuski C. , Englund D. , Hamerly R. . Fundamental thermal noise limits for optical microcavities. Phys. Rev. X, 2020, 10(4): 041046 https://doi.org/10.1103/PhysRevX.10.041046
145
Li B. , Jin W. , Wu L. , Chang L. , Wang H. , Shen B. , Yuan Z. , Feshali A. , Paniccia M. , J. Vahala K. , E. Bowers J. . Reaching fiber-laser coherence in integrated photonics. Opt. Lett., 2021, 46(20): 5201 https://doi.org/10.1364/OL.439720
146
Merkel B. , Repp D. , Reiserer A. . Laser stabilization to a cryogenic fiber ring resonator. Opt. Lett., 2021, 46(2): 444 https://doi.org/10.1364/OL.413847
147
Moille G. , Lu X. , Rao A. , Li Q. , A. Westly D. , Ranzani L. . et al.. Kerr-microresonator soliton frequency combs at cryogenic temperatures. Phys. Rev. Appl., 2019, 12: 034057 https://doi.org/10.1103/PhysRevApplied.12.034057
148
B. Matsko A. , A. Savchenkov A. , S. Ilchenko V. , Seidel D. , Maleki L. . Self-referenced stabilization of temperature of an optomechanical microresonator. Phys. Rev. A, 2011, 83(2): 021801 https://doi.org/10.1103/PhysRevA.83.021801
149
A. Savchenkov A. , B. Matsko A. , S. Ilchenko V. , Yu N. , Maleki L. . Whispering-gallery-mode resonators as frequency references (ii): Stabilization. J. Opt. Soc. Am. B, 2007, 24: 2988 https://doi.org/10.1364/JOSAB.24.002988
150
Lim J. , Liang W. , A. Savchenkov A. , B. Matsko A. , Maleki L. , W. Wong C. . Probing 10 µk stability and residual drifts in the cross-polarized dual-mode stabilization of single-crystal ultrahigh-Q optical resonators. Light Sci. Appl., 2019, 8(1): 1 https://doi.org/10.1038/s41377-018-0109-7
151
Zhao Q. , W. Harrington M. , Isichenko A. , Liu K. , O. Behunin R. , B. Papp S. , T. Rakich P. , W. Hoyt C. , Fertig C. , J. Blumenthal D. . Integrated reference cavity with dual-mode optical thermometry for frequency correction. Optica, 2021, 8(11): 1481 https://doi.org/10.1364/OPTICA.432194
152
Loh W. , Yegnanarayanan S. , O’Donnell F. , W. Juodawlkis P. . Ultra-narrow linewidth brillouin laser with nanokelvin temperature self-referencing. Optica, 2019, 6(2): 152 https://doi.org/10.1364/OPTICA.6.000152
153
Sun X. , Luo R. , C. Zhang X. , Lin Q. . Squeezing the fundamental temperature fluctuations of a high-Q microresonator. Phys. Rev. A, 2017, 95(2): 023822 https://doi.org/10.1103/PhysRevA.95.023822
154
E. Drake T. , R. Stone J. , C. Briles T. , B. Papp S. . Thermal decoherence and laser cooling of Kerr microresonator solitons. Nat. Photonics, 2020, 14(8): 480 https://doi.org/10.1038/s41566-020-0651-8
155
Lei F. , Ye Z. , Torres-Company V. . Thermal noise reduction in soliton microcombs via laser self-cooling. Opt. Lett., 2022, 47(3): 513 https://doi.org/10.1364/OL.447349
156
Ilchenko V. , L. Gorodetskii M. . Thermal nonlinear effects in optical whispering gallery microresonators. Laser Phys., 1992, 2: 1004
157
Liang W. , Eliyahu D. , S. Ilchenko V. , A. Savchenkov A. , B. Matsko A. , Seidel D. , Maleki L. . High spectral purity Kerr frequency comb radio frequency photonic oscillator. Nat. Commun., 2015, 6(1): 7957 https://doi.org/10.1038/ncomms8957
158
D. Ludlow A. , Huang X. , Notcutt M. , Zanon-Willette T. , M. Foreman S. , M. Boyd M. , Blatt S. , Ye J. . Compact, thermal-noise-limited optical cavity for diode laser stabilization at 1×10−15. Opt. Lett., 2007, 32(6): 641 https://doi.org/10.1364/OL.32.000641
159
Zhao Y.Li Y.Wang Q.Meng F.Lin Y.Wang S., et al.., 100-Hz linewidth diode laser with external optical feedback, IEEE Photon. Technol. Lett. 24, 1795 (2012)
160
Zhao Y. , Wang Q. , Meng F. , Lin Y. , Wang S. , Li Y. , Lin B. , Cao S. , Cao J. , Fang Z. , Li T. , Zang E. . High-finesse cavity external optical feedback DFB laser with hertz relative linewidth. Opt. Lett., 2012, 37(22): 4729 https://doi.org/10.1364/OL.37.004729
161
Newman Z. , Maurice V. , Drake T. , Stone J. , Briles T. , Spencer D. , Fredrick C. , Li Q. , Westly D. , R. Ilic B. , Shen B. , G. Suh M. , Y. Yang K. , Johnson C. , M. S. Johnson D. , Hollberg L. , J. Vahala K. , Srinivasan K. , A. Diddams S. , Kitching J. , B. Papp S. , T. Hummon M. . Architecture for the photonic integration of an optical atomic clock. Optica, 2019, 6(5): 680 https://doi.org/10.1364/OPTICA.6.000680
162
Lewoczko-Adamczyk W. , Pyrlik C. , Hager J. , Schwertfeger S. , Wicht A. , Peters A. , Erbert G. , Tränkle G. . Ultra-narrow linewidth DFB-laser with optical feedback from a monolithic confocal Fabry-Pérot cavity. Opt. Express, 2015, 23(8): 9705 https://doi.org/10.1364/OE.23.009705
163
Christopher H.Arar B.Bawamia A.Kurbis C.Lewoczko-Adamczyk W.Schiemangk M., et al.., Narrow linewidth micro-integrated high power diode laser module for deployment in space, 2017 IEEE International Conference on Space Optical Systems and Applications (ICSOS) (IEEE) (2017), pp 150–153
164
Liang W.Liu Y., Compact sub-Hz linewidth laser enabled by self injection lock to a sub-mL FP cavity, arXiv: 2212.00426 (2022)
165
Favre F. , Guen D. . Spectral properties of a semiconductor laser coupled to a single mode fiber resonator. IEEE J. Quantum Electron., 1985, 21(12): 1937 https://doi.org/10.1109/JQE.1985.1072600
166
Hao L. , Wang X. , Guo D. , Jia K. , Fan P. , Guo J. , Ni X. , Zhao G. , Xie Z. , Zhu S. . Narrow-linewidth self-injection locked diode laser with a high-Q fiber Fabry–Pérot resonator. Opt. Lett., 2021, 46(6): 1397 https://doi.org/10.1364/OL.415859
167
Jia K. , Wang X. , Kwon D. , Wang J. , Tsao E. , Liu H. , Ni X. , Guo J. , Yang M. , Jiang X. , Kim J. , Zhu S. , Xie Z. , W. Huang S. . Photonic flywheel in a monolithic fiber resonator. Phys. Rev. Lett., 2020, 125(14): 143902 https://doi.org/10.1103/PhysRevLett.125.143902
168
Jia K.Yi X.Wang X.Liu Y.W. Huang S.Jiang X., et al.., Automated turnkey microcomb for low-noise microwave synthesis, arXiv: 2211.10031 (2022)
169
S. Voloshin A. , M. Kondratiev N. , V. Lihachev G. , Liu J. , E. Lobanov V. , Y. Dmitriev N. , Weng W. , J. Kippenberg T. , A. Bilenko I. . Dynamics of soliton self-injection locking in optical microresonators. Nat. Commun., 2021, 12(1): 235 https://doi.org/10.1038/s41467-020-20196-y
170
Y. Dmitriev N. , N. Koptyaev S. , S. Voloshin A. , M. Kondratiev N. , N. Min’kov K. , E. Lobanov V. . et al.. Hybrid integrated dual-microcomb source. Phys. Rev. Appl., 2022, 18: 034068 https://doi.org/10.1103/PhysRevApplied.18.034068
171
Kondratiev N.Lobanov V.Dmitriev N.Cordette S.Bilenko I., Detailed analysis of ultimate soliton microcomb generation efficiency, arXiv: 2209.03707 (2022)
172
Lihachev G. , Weng W. , Liu J. , Chang L. , Guo J. , He J. , N. Wang R. , H. Anderson M. , Liu Y. , E. Bowers J. , J. Kippenberg T. . Platicon microcomb generation using laser self-injection locking. Nat. Commun., 2022, 13(1): 1771 https://doi.org/10.1038/s41467-022-29431-0
173
Lobanov V. , Lihachev G. , J. Kippenberg T. , Gorodetsky M. . Frequency combs and platicons in optical microresonators with normal GVD. Opt. Express, 2015, 23(6): 7713 https://doi.org/10.1364/OE.23.007713
174
E. Lobanov V. , M. Kondratiev N. , E. Shitikov A. , R. Galiev R. , A. Bilenko I. . Generation and dynamics of solitonic pulses due to pump amplitude modulation at normal group-velocity dispersion. Phys. Rev. A, 2019, 100(1): 013807 https://doi.org/10.1103/PhysRevA.100.013807
175
Xue X. , Xuan Y. , H. Wang P. , Liu Y. , E. Leaird D. , Qi M. . et al.. Normal-dispersion microcombs enabled by controllable mode interactions. Laser Photon. Rev., 2015, 9: L23 https://doi.org/10.1002/lpor.201500107
176
E. Fomin A. , L. Gorodetsky M. , S. Grudinin I. , S. Ilchenko V. . Nonstationary nonlinear effects in optical microspheres. J. Opt. Soc. Am. B, 2005, 22(2): 459 https://doi.org/10.1364/JOSAB.22.000459
177
Carmon T. , Yang L. , J. Vahala K. . Dynamical thermal behavior and thermal self-stability of microcavities. Opt. Express, 2004, 12(20): 4742 https://doi.org/10.1364/OPEX.12.004742
178
Diallo S. , Lin G. , K. Chembo Y. . Giant thermo-optical relaxation oscillations in millimeter-size whispering gallery mode disk resonators. Opt. Lett., 2015, 40: 3834 https://doi.org/10.1364/OL.40.003834
179
Leshem A. , Qi Z. , F. Carruthers T. , R. Menyuk C. , Gat O. . Thermal instabilities, frequency-comb formation, and temporal oscillations in Kerr microresonators. Phys. Rev. A, 2021, 103(1): 013512 https://doi.org/10.1103/PhysRevA.103.013512
180
Herr T. , Brasch V. , D. Jost J. , Y. Wang C. , M. Kondratiev N. , L. Gorodetsky M. , J. Kippenberg T. . Temporal solitons in optical microresonators. Nat. Photonics, 2014, 8(2): 145 https://doi.org/10.1038/nphoton.2013.343
181
Bao C. , Xuan Y. , A. Jaramillo-Villegas J. , E. Leaird D. , Qi M. , M. Weiner A. . Direct soliton generation in microresonators. Opt. Lett., 2017, 42(13): 2519 https://doi.org/10.1364/OL.42.002519
182
E. Lobanov V. , M. Kondratiev N. , A. Bilenko I. . Thermally induced generation of platicons in optical microresonators. Opt. Lett., 2021, 46(10): 2380 https://doi.org/10.1364/OL.422988
183
M. Kondratiev N. , E. Lobanov V. . Modulational instability and frequency combs in whispering-gallery-mode microresonators with backscattering. Phys. Rev. A, 2020, 101: 013816 https://doi.org/10.1103/PhysRevA.101.013816
184
M. Kondratiev N. , E. Agafonova S. , S. Gorodnitskiy A. , S. Voloshin A. , E. Lobanov V. . Modification of the self-injection locking effect due to the microresonator nonlinearity. AIP Conf. Proc., 2020, 2241: 020021 https://doi.org/10.1063/5.0011461
185
M. Kondratiev N.R. Galiev R.E. Lobanov V., Thermal influence on laser self-injection locking to nonlinear microresonator, Eds. : M. Bertolotti, A. V. Zayats, and A. M. Zheltikov, Nonlinear Optics and Applications XII, International Society for Optics and Photonics (SPIE) (2021), Vol. 11770, 117700Q
186
E. Lobanov V. , V. Lihachev G. , G. Pavlov N. , V. Cherenkov A. , J. Kippenberg T. , L. Gorodetsky M. . Harmonization of chaos into a soliton in Kerr frequency combs. Opt. Express, 2016, 24(24): 27382 https://doi.org/10.1364/OE.24.027382
187
Guo H. , Karpov M. , Lucas E. , Kordts A. , H. P. Pfeiffer M. , Brasch V. , Lihachev G. , E. Lobanov V. , L. Gorodetsky M. , J. Kippenberg T. . Universal dynamics and deterministic switching of dissipative Kerr solitons in optical microresonators. Nat. Phys., 2017, 13(1): 94 https://doi.org/10.1038/nphys3893
188
Xiang C. , Liu J. , Guo J. , Chang L. , N. Wang R. , Weng W. , Peters J. , Xie W. , Zhang Z. , Riemensberger J. , Selvidge J. , J. Kippenberg T. , E. Bowers J. . Laser soliton microcombs heterogeneously integrated on silicon. Science, 2021, 373(6550): 99 https://doi.org/10.1126/science.abh2076
189
A. Chermoshentsev D. , E. Shitikov A. , A. Lonshakov E. , V. Grechko G. , A. Sazhina E. , M. Kondratiev N. , V. Masalov A. , A. Bilenko I. , I. Lvovsky A. , E. Ulanov A. . Dual-laser self-injection locking to an integrated microresonator. Opt. Express, 2022, 30(10): 17094 https://doi.org/10.1364/OE.454687
190
Liu J. , Lucas E. , S. Raja A. , He J. , Riemensberger J. , N. Wang R. , Karpov M. , Guo H. , Bouchand R. , J. Kippenberg T. . Photonic microwave generation in the X- and K-band using integrated soliton microcombs. Nat. Photonics, 2020, 14(8): 486 https://doi.org/10.1038/s41566-020-0617-x
191
H. Khan M. , Shen H. , Xuan Y. , Zhao L. , Xiao S. , E. Leaird D. , M. Weiner A. , Qi M. . Ultrabroad-bandwidth arbitrary radiofrequency waveform generation with a silicon photonic chip-based spectral shaper. Nat. Photonics, 2010, 4(2): 117 https://doi.org/10.1038/nphoton.2009.266
192
Hu X. , Wang W. , Wang L. , Zhang W. , Wang Y. , Zhao W. . Numerical simulation and temporal characterization of dual-pumped microring-resonator-based optical frequency combs. Photon. Res., 2017, 5(3): 207 https://doi.org/10.1364/PRJ.5.000207
193
Wang W. , T. Chu S. , E. Little B. , Pasquazi A. , Wang Y. , Wang L. , Zhang W. , Wang L. , Hu X. , Wang G. , Hu H. , Su Y. , Li F. , Liu Y. , Zhao W. . Dual-pump Kerr micro-cavity optical frequency comb with varying FSR spacing. Sci. Rep., 2016, 6(1): 28501 https://doi.org/10.1038/srep28501
194
Wen J. , Duan L. , Fan W. . Influences of pump power and high-order dispersion on dual-pumped silicon-on-insulator micro-ring resonator-based optical frequency combs. Mod. Phys. Lett. B, 2019, 33(10): 1950117 https://doi.org/10.1142/S0217984919501173
195
Wen J. , Duan L. , Ma C. , Fan W. . Numerical investigation of dual-pumped optical frequency combs based on silicon-on-insulator microring resonator. Microw. Opt. Technol. Lett., 2019, 61(11): 2640 https://doi.org/10.1002/mop.31939
196
Okawachi Y. , Yu M. , Luke K. , O. Carvalho D. , Ramelow S. , Farsi A. . et al.. Dual-pumped degenerate Kerr oscillator in a silicon nitride microresonator. Opt. Lett., 2015, 40: 5267 https://doi.org/10.1364/OL.40.005267
197
Okawachi Y. , Yu M. , Luke K. , O. Carvalho D. , Lipson M. , L. Gaeta A. . Quantum random number generator using a microresonator-based Kerr oscillator. Opt. Lett., 2016, 41: 4194 https://doi.org/10.1364/OL.41.004194
198
D. Vaidya V. , Morrison B. , G. Helt L. , Shahrokshahi R. , H. Mahler D. , J. Collins M. , Tan K. , Lavoie J. , Repingon A. , Menotti M. , Quesada N. , C. Pooser R. , E. Lita A. , Gerrits T. , W. Nam S. , Vernon Z. . Broadband quadrature-squeezed vacuum and nonclassical photon number correlations from a nanophotonic device. Sci. Adv., 2020, 6(39): eaba9186 https://doi.org/10.1126/sciadv.aba9186
199
M. Arrazola J. , Bergholm V. , Bradler K. , R. Bromley T. , J. Collins M. , Dhand I. , Fumagalli A. , Gerrits T. , Goussev A. , G. Helt L. , Hundal J. , Isacsson T. , B. Israel R. , Izaac J. , Jahangiri S. , Janik R. , Killoran N. , P. Kumar S. , Lavoie J. , E. Lita A. , H. Mahler D. , Menotti M. , Morrison B. , W. Nam S. , Neuhaus L. , Y. Qi H. , Quesada N. , Repingon A. , K. Sabapathy K. , Schuld M. , Su D. , Swinarton J. , Száva A. , Tan K. , Tan P. , D. Vaidya V. , Vernon Z. , Zabaneh Z. , Zhang Y. . Quantum circuits with many photons on a programmable nanophotonic chip. Nature, 2021, 591(7848): 54 https://doi.org/10.1038/s41586-021-03202-1
200
Zhao Y. , Okawachi Y. , K. Jang J. , Ji X. , Lipson M. , L. Gaeta A. . Near-degenerate quadrature-squeezed vacuum generation on a silicon-nitride chip. Phys. Rev. Lett., 2020, 124(19): 193601 https://doi.org/10.1103/PhysRevLett.124.193601
201
Okawachi Y. , Yu M. , K. Jang J. , Ji X. , Zhao Y. , Y. Kim B. , Lipson M. , L. Gaeta A. . Demonstration of chip-based coupled degenerate optical parametric oscillators for realizing a nanophotonic spin-glass. Nat. Commun., 2020, 11(1): 4119 https://doi.org/10.1038/s41467-020-17919-6
202
Taheri H. , B. Matsko A. , Maleki L. , Sacha K. . All-optical dissipative discrete time crystals. Nat. Commun., 2022, 13(1): 848 https://doi.org/10.1038/s41467-022-28462-x
203
E. Shitikov A. , E. Lobanov V. , M. Kondratiev N. , S. Voloshin A. , A. Lonshakov E. , A. Bilenko I. . Self-injection locking of a gain-switched laser diode. Phys. Rev. Appl., 2021, 15(6): 064066 https://doi.org/10.1103/PhysRevApplied.15.064066
204
Shao S. , Li J. , Chen H , Yang S. , Chen M. . Gain-switched optical frequency comb source using a hybrid integrated self-injection locking DFB laser. IEEE Photon. J., 2022, 14: 1 https://doi.org/10.1109/JPHOT.2022.3141424
205
J. Kippenberg T. , L. Gaeta A. , Lipson M. , L. Gorodetsky M. . Dissipative Kerr solitons in optical microresonators. Science, 2018, 361(6402): eaan8083 https://doi.org/10.1126/science.aan8083
206
Li Q. , Davanço M. , Srinivasan K. . Efficient and low-noise single-photon-level frequency conversion interfaces using silicon nanophotonics. Nat. Photonics, 2016, 10: 406 https://doi.org/10.1038/nphoton.2016.64
207
Gundavarapu S. , M. Brodnik G. , Puckett M. , Huffman T. , Bose D. , Behunin R. , Wu J. , Qiu T. , Pinho C. , Chauhan N. , Nohava J. , T. Rakich P. , D. Nelson K. , Salit M. , J. Blumenthal D. . Sub-Hertz fundamental linewidth photonic integrated Brillouin laser. Nat. Photonics, 2019, 13(1): 60 https://doi.org/10.1038/s41566-018-0313-2
208
Ji X. , Liu J. , He J. , N. Wang R. , Qiu Z. , Riemensberger J. , J. Kippenberg T. . Compact, spatial-mode-interaction-free, ultralow-loss, nonlinear photonic integrated circuits. Commun. Phys., 2022, 5(1): 1 https://doi.org/10.1038/s42005-022-00851-0
209
Ye Z. , Lei F. , Twayana K. , Girardi M. , A. Andrekson P. , Torres-Company V. . Integrated, ultra-compact high-Q silicon nitride microresonators for low-repetition-rate soliton microcombs. Laser Photon. Rev., 2021, 16(3): 2100147 https://doi.org/10.1002/lpor.202100147
210
Snigirev V.Riedhauser A.Lihachev G.Riemensberger J.N. Wang R.Moehl C., et al.., Ultrafast tunable lasers using lithium niobate integrated photonics, arXiv: 2112.02036 (2021)
211
Gondarenko A. , S. Levy J. , Lipson M. . High confinement micron-scale silicon nitride high Q ring resonator. Opt. Express, 2009, 17(14): 11366 https://doi.org/10.1364/OE.17.011366
212
S. Levy J.Gondarenko A.A. Foster M.C. Turner-Foster A.L. Gaeta A.Lipson M., CMOS-compatible multiple-wavelength oscillator for on-chip optical interconnects, Nat. Photonics 4(1), 37 (2010)
213
Ji X. , A. S. Barbosa F. , P. Roberts S. , Dutt A. , Cardenas J. , Okawachi Y. , Bryant A. , L. Gaeta A. , Lipson M. . Ultra-low-loss on-chip resonators with sub-milliwatt parametric oscillation threshold. Optica, 2017, 4(6): 619 https://doi.org/10.1364/OPTICA.4.000619
214
Wu K. , W. Poon A. . Stress-released si3n4 fabrication process for dispersion-engineered integrated silicon photonics. Opt. Express, 2020, 28(12): 17708 https://doi.org/10.1364/OE.390171
215
Liu J. , Huang G. , N. Wang R. , He J. , S. Raja A. , Liu T. , J. Engelsen N. , J. Kippenberg T. . High-yield, wafer-scale fabrication of ultralow-loss, dispersion-engineered silicon nitride photonic circuits. Nat. Commun., 2021, 12(1): 2236 https://doi.org/10.1038/s41467-021-21973-z
216
J. Moss D. , Morandotti R. , L. Gaeta A. , Lipson M. . New CMOS-compatible platforms based on silicon nitride and Hydex for nonlinear optics. Nat. Photonics, 2013, 7(8): 597 https://doi.org/10.1038/nphoton.2013.183
217
Xiang C. , Jin W. , E. Bowers J. . Silicon nitride passive and active photonic integrated circuits: Trends and prospects. Photon. Res., 2022, 10(6): A82 https://doi.org/10.1364/PRJ.452936
218
H. Henry C. , F. Kazarinov R. , J. Lee H. , J. Orlowsky K. , E. Katz L. . Low loss Si3N4–SiO2 optical waveguides on Si. Appl. Opt., 1987, 26(13): 2621 https://doi.org/10.1364/AO.26.002621
219
Gyger F. , Liu J. , Yang F. , He J. , S. Raja A. , N. Wang R. , A. Bhave S. , J. Kippenberg T. , Thévenaz L. . Observation of stimulated Brillouin scattering in silicon nitride integrated waveguides. Phys. Rev. Lett., 2020, 124(1): 013902 https://doi.org/10.1103/PhysRevLett.124.013902
220
Stern B. , Ji X. , Dutt A. , Lipson M. . Compact narrow-linewidth integrated laser based on a low-loss silicon nitride ring resonator. Opt. Lett., 2017, 42(21): 4541 https://doi.org/10.1364/OL.42.004541
221
Fan Y. , van Rees A. , J. M. van der Slot P. , Mak J. , M. Oldenbeuving R. , Hoekman M. , Geskus D. , G. H. Roeloffzen C. , J. Boller K. . Hybrid integrated InP-Si3N4 diode laser with a 40-Hz intrinsic linewidth. Opt. Express, 2020, 28(15): 21713 https://doi.org/10.1364/OE.398906
222
Liu J. , S. Raja A. , Karpov M. , Ghadiani B. , H. P. Pfeiffer M. , Du B. , J. Engelsen N. , Guo H. , Zervas M. , J. Kippenberg T. . Ultralow-power chip-based soliton microcombs for photonic integration. Optica, 2018, 5(10): 1347 https://doi.org/10.1364/OPTICA.5.001347
223
Brasch V. , Geiselmann M. , H. P. Pfeiffer M. , J. Kippenberg T. . Bringing short-lived dissipative Kerr soliton states in microresonators into a steady state. Opt. Express, 2016, 24: 29312 https://doi.org/10.1364/OE.24.029312
224
Li Q. , C. Briles T. , A. Westly D. , E. Drake T. , R. Stone J. , R. Ilic B. , A. Diddams S. , B. Papp S. , Srinivasan K. . Stably accessing octave-spanning microresonator frequency combs in the soliton regime. Optica, 2017, 4(2): 193 https://doi.org/10.1364/OPTICA.4.000193
225
R. Stone J. , C. Briles T. , E. Drake T. , T. Spencer D. , R. Carlson D. , A. Diddams S. , B. Papp S. . Thermal and nonlinear dissipative-soliton dynamics in Kerr-microresonator frequency combs. Phys. Rev. Lett., 2018, 121(6): 063902 https://doi.org/10.1103/PhysRevLett.121.063902
226
Zhou H. , Geng Y. , Cui W. , W. Huang S. , Zhou Q. , Qiu K. , Wei Wong C. . Soliton bursts and deterministic dissipative Kerr soliton generation in auxiliary-assisted microcavities. Light Sci. Appl., 2019, 8(1): 50 https://doi.org/10.1038/s41377-019-0161-y
227
P. Yu S.Lucas E.Zang J.B. Papp S., A continuum of bright and dark-pulse states in a photonic-crystal resonator, Nat. Commun. 13(1), 3134 (2022)
228
Wang H. , Shen B. , Yu Y. , Yuan Z. , Bao C. , Jin W. , Chang L. , A. Leal M. , Feshali A. , Paniccia M. , E. Bowers J. , Vahala K. . Self-regulating soliton switching waves in microresonators. Phys. Rev. A, 2022, 106(5): 053508 https://doi.org/10.1103/PhysRevA.106.053508
229
Liu J. , Tian H. , Lucas E. , S. Raja A. , Lihachev G. , N. Wang R. , He J. , Liu T. , H. Anderson M. , Weng W. , A. Bhave S. , J. Kippenberg T. . Monolithic piezoelectric control of soliton microcombs. Nature, 2020, 583(7816): 385 https://doi.org/10.1038/s41586-020-2465-8
230
Xiang C. , Guo J. , Jin W. , Wu L. , Peters J. , Xie W. , Chang L. , Shen B. , Wang H. , F. Yang Q. , Kinghorn D. , Paniccia M. , J. Vahala K. , A. Morton P. , E. Bowers J. . High-performance lasers for fully integrated silicon nitride photonics. Nat. Commun., 2021, 12(1): 6650 https://doi.org/10.1038/s41467-021-26804-9
231
Komljenovic T. , Davenport M. , Hulme J. , Y. Liu A. , T. Santis C. , Spott A. , Srinivasan S. , J. Stanton E. , Zhang C. , E. Bowers J. . Heterogeneous silicon photonic integrated circuits. J. Lightwave Technol., 2016, 34(1): 20 https://doi.org/10.1109/JLT.2015.2465382
232
Park H. , Zhang C. , A. Tran M. , Komljenovic T. . Heterogeneous silicon nitride photonics. Optica, 2020, 7(4): 336 https://doi.org/10.1364/OPTICA.391809
233
Xiang C. , Jin W. , Guo J. , D. Peters J. , J. Kennedy M. , Selvidge J. . et al.. Narrow-linewidth III-V/Si/Si3N4 laser using multilayer heterogeneous integration. Optica, 2020, 7: 20 https://doi.org/10.1364/OPTICA.384026
234
Joshi C. , K. Jang J. , Luke K. , Ji X. , A. Miller S. , Klenner A. . et al.. Thermally controlled comb generation and soliton modelocking in microresonators. Opt. Lett., 2016, 41: 2565 https://doi.org/10.1364/OL.41.002565
235
Xue X. , Xuan Y. , Wang C. , H. Wang P. , Liu Y. , Niu B. , E. Leaird D. , Qi M. , M. Weiner A. . Thermal tuning of Kerr frequency combs in silicon nitride microring resonators. Opt. Express, 2016, 24(1): 687 https://doi.org/10.1364/OE.24.000687
236
Liang G. , Huang H. , Mohanty A. , C. Shin M. , Ji X. , J. Carter M. , Shrestha S. , Lipson M. , Yu N. . Robust, efficient, micrometre-scale phase modulators at visible wavelengths. Nat. Photonics, 2021, 15(12): 908 https://doi.org/10.1038/s41566-021-00891-y
237
Arbabi A. , L. Goddard L. . Measurements of the refractive indices and thermo-optic coefficients of Si3N4 and SiOx using microring resonances. Opt. Lett., 2013, 38(19): 3878 https://doi.org/10.1364/OL.38.003878
238
Komma J. , Schwarz C. , Hofmann G. , Heinert D. , Nawrodt R. . Thermo-optic coefficient of silicon at 1550 nm and cryogenic temperatures. Appl. Phys. Lett., 2012, 101(4): 041905 https://doi.org/10.1063/1.4738989
239
Tian H. , Liu J. , Dong B. , C. Skehan J. , Zervas M. , J. Kippenberg T. , A. Bhave S. . Hybrid integrated photonics using bulk acoustic resonators. Nat. Commun., 2020, 11(1): 3073 https://doi.org/10.1038/s41467-020-16812-6
J. M. van der Slot P. , A. G. Porcel M. , J. Boller K. . Surface acoustic waves for acousto-optic modulation in buried silicon nitride waveguides. Opt. Express, 2019, 27(2): 1433 https://doi.org/10.1364/OE.27.001433
242
Hosseini N. , Dekker R. , Hoekman M. , Dekkers M. , Bos J. , Leinse A. , Heideman R. . Stress-optic modulator in TriPlex platform using a piezoelectric lead zirconate titanate (PZT) thin film. Opt. Express, 2015, 23(11): 14018 https://doi.org/10.1364/OE.23.014018
243
Alexander K. , P. George J. , Verbist J. , Neyts K. , Kuyken B. , Van Thourhout D. , Beeckman J. . Nanophotonic Pockels modulators on a silicon nitride platform. Nat. Commun., 2018, 9(1): 3444 https://doi.org/10.1038/s41467-018-05846-6
244
Jin W. , G. Polcawich R. , A. Morton P. , E. Bowers J. . Piezoelectrically tuned silicon nitride ring resonator. Opt. Express, 2018, 26: 3174 https://doi.org/10.1364/OE.26.003174
245
H. Lai Y.E. Amili A.Eliyahu D.Moss R.Ganji S.Singer S., et al.., Ultra-narrow-linewidth lasers for quantum applications. Conference on Lasers and Electro-Optics (Optica Publishing Group) (2022), STu5O.2
246
Wunderer T.Siddharth A.M. Johnson N.L. Chua C.Teepe M.Yang Z., et al.., Low-noise hybrid photonic integrated violet and blue lasers for quantum applications, 2022 IEEE Research and Applications of Photonics in Defense Conference (RAPID) (2022), pp 1–2
247
Geng J. , Yang L. , Zhao S. , Zhang Y. . Resonant micro-optical gyro based on self-injection locking. Opt. Express, 2020, 28(22): 32907 https://doi.org/10.1364/OE.405974
248
Geng J. , Yang L. , Liang J. , Liu S. , Zhang Y. . Stability in self-injection locking of the DFB laser through a fiber optic resonator. Opt. Commun., 2022, 505: 127531 https://doi.org/10.1016/j.optcom.2021.127531
249
Zhang Y. , Geng J. , Li L. , Wang Y. , Yang L. . Exceptional-point-enhanced Brillouin micro-optical gyroscope based on self-injection locking. Opt. Commun., 2023, 528: 129008 https://doi.org/10.1016/j.optcom.2022.129008
250
Dale E.Liang W.Eliyahu D.Savchenkov A.Ilchenko V.B. Matsko A., et al.., Ultra-narrow line tunable semiconductor lasers for coherent lidar applications, Imaging and Applied Optics 2014 (Optical Society of America) (2014), JTu2C.3
251
A. Lopez-Mercado C. , A. Korobko D. , O. Zolotovskii I. , A. Fotiadi A. . Application of dual-frequency self-injection locked DFB laser for Brillouin optical time domain analysis. Sensors (Basel), 2021, 21(20): 6859 https://doi.org/10.3390/s21206859
252
Karim F. , F. Mitul A. , Zhou B. , Han M. . High-sensitivity demodulation of fiber-optic acoustic emission sensor using self-injection locked diode laser. IEEE Photonics J., 2022, 14(4): 1 https://doi.org/10.1109/JPHOT.2022.3192806
253
J. Blumenthal D., Integrated ultra-narrow linewidth stabilized SBS lasers. Optical Fiber Communication Conference (OFC) 2022 (Optica Publishing Group) (2022), Tu3D. 1
254
H. Lai Y.Love S.Savchenkov A.Eliyahu D.Moss R.Maleki L., 871 nm ultra-narrow-linewidth laser for Yb+ clock, Conference on Lasers and Electro-Optics (Optica Publishing Group) (2021), SF2P. 3
255
Amin R.Greenberg J.Heffernan B.Nagatsuma T.Rolland A., Exceeding octave tunable terahertz waves with zepto-second level timing noise, arXiv: 2207.07750 (2022)
256
Amin R.Greenberg J.M. Heffernan B.Rolland A., 0.5 THz wave based on two wavelength difference beat with self-injected diode lasers, 2022 47th International Conference on Infrared, Millimeter and Terahertz Waves (IRMMW-THz) (2022), pp 1–2
257
J. Kippenberg T. , Holzwarth R. , A. Diddams S. . Microresonator-based optical frequency combs. Science, 2011, 332(6029): 555 https://doi.org/10.1126/science.1193968
258
Pasquazi A. , Peccianti M. , Razzari L. , J. Moss D. , Coen S. , Erkintalo M. , K. Chembo Y. , Hansson T. , Wabnitz S. , Del’Haye P. , Xue X. , M. Weiner A. , Morandotti R. . Micro-combs: A novel generation of optical sources. Phys. Rep., 2018, 729: 1 https://doi.org/10.1016/j.physrep.2017.08.004
259
Papp S. , Beha K. , Del’Haye P. , Quinlan F. , Lee H. , Vahala K. , A. Diddams S. . Microresonator frequency comb optical clock. Optica, 2014, 1(1): 10 https://doi.org/10.1364/OPTICA.1.000010
260
G. Suh M. , F. Yang Q. , Yang K. , Yi X. , Vahala K. . Microresonator soliton dual-comb spectroscopy. Science, 2016, 354(6312): 600 https://doi.org/10.1126/science.aah6516
261
F. Yang Q. , Shen B. , Wang H. , Tran M. , Zhang Z. , Y. Yang K. , Wu L. , Bao C. , Bowers J. , Yariv A. , Vahala K. . Vernier spectrometer using counterpropagating soliton microcombs. Science, 2019, 363(6430): 965 https://doi.org/10.1126/science.aaw2317
Trocha P. , Karpov M. , Ganin D. , H. P. Pfeiffer M. , Kordts A. , Wolf S. , Krockenberger J. , Marin-Palomo P. , Weimann C. , Randel S. , Freude W. , J. Kippenberg T. , Koos C. . Ultrafast optical ranging using microresonator soliton frequency combs. Science, 2018, 359(6378): 887 https://doi.org/10.1126/science.aao3924
264
G. Suh M. , Yi X. , H. Lai Y. , Leifer S. , S. Grudinin I. , Vasisht G. , C. Martin E. , P. Fitzgerald M. , Doppmann G. , Wang J. , Mawet D. , B. Papp S. , A. Diddams S. , Beichman C. , Vahala K. . Searching for exoplanets using a microresonator astrocomb. Nat. Photonics, 2019, 13(1): 25 https://doi.org/10.1038/s41566-018-0312-3
Marin-Palomo P. , N. Kemal J. , Karpov M. , Kordts A. , Pfeifle J. , H. P. Pfeiffer M. , Trocha P. , Wolf S. , Brasch V. , H. Anderson M. , Rosenberger R. , Vijayan K. , Freude W. , J. Kippenberg T. , Koos C. . Microresonator-based solitons for massively parallel coherent optical communications. Nature, 2017, 546(7657): 274 https://doi.org/10.1038/nature22387
267
Fölöp A. , Mazur M. , Lorences-Riesgo A. , Helgason Ó. , H. Wang P. , Xuan Y. . et al.. High-order coherent communications using mode-locked dark-pulse Kerr combs from microresonators. Nat. Commun., 2018, 9(1): 1598 https://doi.org/10.1038/s41467-018-04046-6
268
B. Helgason Ó. , Fülöp A. , Schröder J. , A. Andrekson P. , M. Weiner A. , Torres-Company V. . Superchannel engineering of microcombs for optical communications. J. Opt. Soc. Am. B, 2019, 36(8): 2013 https://doi.org/10.1364/JOSAB.36.002013
269
Y. Kim B. , Okawachi Y. , K. Jang J. , Yu M. , Ji X. , Zhao Y. , Joshi C. , Lipson M. , L. Gaeta A. . Turnkey, high-efficiency Kerr comb source. Opt. Lett., 2019, 44(18): 4475 https://doi.org/10.1364/OL.44.004475
270
Liu H. , W. Huang S. , Wang W. , Yang J. , Yu M. , L. Kwong D. , Colman P. , W. Wong C. . Stimulated generation of deterministic platicon frequency microcombs. Photon. Res., 2022, 10(8): 1877 https://doi.org/10.1364/PRJ.459403
W. Bruch A. , Liu X. , Gong Z. , B. Surya J. , Li M. , L. Zou C. , X. Tang H. . Pockels soliton microcomb. Nat. Photonics, 2021, 15(1): 21 https://doi.org/10.1038/s41566-020-00704-8
273
Liu X. , Gong Z. , W. Bruch A. , B. Surya J. , Lu J. , X. Tang H. . Aluminum nitride nanophotonics for beyond-octave soliton microcomb generation and self-referencing. Nat. Commun., 2021, 12(1): 5428 https://doi.org/10.1038/s41467-021-25751-9
274
Jung H. , P. Yu S. , R. Carlson D. , E. Drake T. , C. Briles T. , B. Papp S. . Tantala Kerr nonlinear integrated photonics. Optica, 2021, 8(6): 811 https://doi.org/10.1364/OPTICA.411968
275
J. Wilson D. , Schneider K. , Honl S. , Anderson M. , Baumgartner Y. , Czornomaz L. , J. Kippenberg T. , Seidler P. . Integrated gallium phosphide nonlinear photonics. Nat. Photonics, 2020, 14(1): 57 https://doi.org/10.1038/s41566-019-0537-9
276
Pu M. , Ottaviano L. , Semenova E. , Yvind K. . Efficient frequency comb generation in AlGaAs-on-insulator. Optica, 2016, 3(8): 823 https://doi.org/10.1364/OPTICA.3.000823
277
Chang L. , Xie W. , Shu H. , F. Yang Q. , Shen B. , Boes A. , D. Peters J. , Jin W. , Xiang C. , Liu S. , Moille G. , P. Yu S. , Wang X. , Srinivasan K. , B. Papp S. , Vahala K. , E. Bowers J. . Ultra-efficient frequency comb generation in AlGaAs-on-insulator microresonators. Nat. Commun., 2020, 11(1): 1331 https://doi.org/10.1038/s41467-020-15005-5
278
A. Guidry M. , M. Lukin D. , Y. Yang K. , Trivedi R. , Vučković J. . Quantum optics of soliton microcombs. Nat. Photonics, 2022, 16(1): 52 https://doi.org/10.1038/s41566-021-00901-z
279
Wang C. , Li J. , Yi A. , Fang Z. , Zhou L. , Wang Z. , Niu R. , Chen Y. , Zhang J. , Cheng Y. , Liu J. , H. Dong C. , Ou X. . Soliton formation and spectral translation into visible on CMOS-compatible 4H-silicon-carbide-on-insulator platform. Light Sci. Appl., 2022, 11(1): 341 https://doi.org/10.1038/s41377-022-01042-w
280
Xia D. , Yang Z. , Zeng P. , Zhang B. , Wu J. , Wang Z. , Zhao J. , Huang J. , Luo L. , Liu D. , Yang S. , Guo H. , Li Z. . Integrated chalcogenide photonics for microresonator soliton combs. Laser Photon. Rev., 2022, 2200219 https://doi.org/10.1002/lpor.202200219
M. C. Boggio J. , Bodenmuller D. , Ahmed S. , Wabnitz S. , Modotto D. , Hansson T. . Efficient Kerr soliton comb generation in micro-resonator with interferometric back-coupling. Nat. Commun., 2022, 13(1): 1292 https://doi.org/10.1038/s41467-022-28927-z
283
B. Helgason O.Girardi M.Ye Z.Lei F.Schröder J.T. Company V., Power-efficient soliton microcombs, arXiv: 2202.09410 (2022)