
Retrieval of phase relation and emission profile of quantum cascade laser frequency combs
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ABSTRACT Recently, the field of optical frequency combs experienced a major development of new sources. They are generally much smaller in size (on the scale of millimetres) and can extend
frequency comb emission to other spectral regions, in particular towards the mid- and far-infrared regions. Unlike classical pulsed frequency combs, their mode-locking mechanism relies on
four-wave-mixing nonlinear processes, yielding a non-trivial phase relation among the modes and an uncommon emission time profile. Here, by combining dual-comb multi-heterodyne detection
with Fourier-transform analysis, we show how to simultaneously acquire and monitor over a wide range of timescales the phase pattern of a generic (unknown) frequency comb. The technique is
applied to characterize both a mid-infrared and a terahertz quantum cascade laser frequency comb, conclusively proving the high degree of coherence and the remarkable long-term stability of
these sources. Moreover, the technique allows also the reconstruction of the electric field, intensity profile and instantaneous frequency of the emission. Access through your institution
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COMBS FOR PRECISION METROLOGY AND ATTOSECOND SCIENCE Article 28 January 2021 TOWARDS PHASE-STABILIZED FOURIER DOMAIN MODE-LOCKED FREQUENCY COMBS Article Open access 17 August 2022
FEMTOSECOND PULSES FROM A MID-INFRARED QUANTUM CASCADE LASER Article 22 November 2021 DATA AVAILABILITY The data that support the plots within this paper and other findings of this study are
available from the corresponding authors upon reasonable request. REFERENCES * Jones, D. J. et al. Carrier-envelope phase control of femtosecond mode-locked lasers and direct optical
frequency synthesis. _Science_ 288, 635–639 (2000). Article ADS Google Scholar * Diddams, S. A. et al. Direct link between microwave and optical frequencies with a 300 THz femtosecond
laser comb. _Phys. Rev. Lett._ 84, 5102–5105 (2000). Article ADS Google Scholar * Holzwarth, R. et al. Optical frequency synthesizer for precision spectroscopy. _Phys. Rev. Lett._ 85,
2264–2267 (2000). Article ADS Google Scholar * Udem, T., Holzwarth, R. & Hänsch, T. W. Optical frequency metrology. _Nature_ 416, 233–237 (2002). Article ADS Google Scholar *
Diddams, S. A. The evolving optical frequency comb. _J. Opt. Soc. Am. B_ 27, B51 (2010). Article Google Scholar * Faist, J. et al. Quantum cascade laser. _Science_ 264, 553–556 (1994).
Article ADS Google Scholar * Beck, M. et al. Continuous wave operation of a mid-infrared semiconductor laser at room temperature. _Science_ 295, 301–305 (2002). Article ADS Google
Scholar * Köhler, R. et al. Terahertz semiconductor-heterostructure laser. _Nature_ 417, 156–159 (2002). Article ADS Google Scholar * Tombez, L. et al. Wavelength tuning and thermal
dynamics of continuous-wave mid-infrared distributed feedback quantum cascade lasers. _Appl. Phys. Lett._ 103, 031111 (2013). Article ADS Google Scholar * Consolino, L., Cappelli, F.,
Siciliani de Cumis, M. & De Natale, P. QCL-based frequency metrology from the mid-infrared to the THz range: a review. _Nanophotonics_ 8, 181–204 (2018). Article Google Scholar *
Faist, J. _Quantum Cascade Lasers_ (Oxford Univ. Press, 2013). * Hugi, A., Villares, G., Blaser, S., Liu, H. C. & Faist, J. Mid-infrared frequency comb based on a quantum cascade laser.
_Nature_ 492, 229–233 (2012). Article ADS Google Scholar * Malara, P. et al. External ring-cavity quantum cascade lasers. _Appl. Phys. Lett._ 102, 141105 (2013). Article ADS Google
Scholar * Faist, J. et al. Quantum cascade laser frequency combs. _Nanophotonics_ 5, 272–291 (2016). Article Google Scholar * Wang, C. Y. et al. Mode-locked pulses from mid-infrared
quantum cascade lasers. _Opt. Express_ 17, 12929–12943 (2009). Article ADS Google Scholar * Revin, D. G., Hemingway, M., Wang, Y., Cockburn, J. W. & Belyanin, A. Active mode locking
of quantum cascade lasers in an external ring cavity. _Nat. Commun._ 7, 11440 (2016). Article ADS Google Scholar * Barbieri, S. et al. Coherent sampling of active mode-locked terahertz
quantum cascade lasers and frequency synthesis. _Nat. Photon._ 5, 306–313 (2011). Article ADS Google Scholar * Wang, F. et al. Short terahertz pulse generation from a dispersion
compensated modelocked semiconductor laser. _Laser Photon. Rev._ 11, 1700013 (2017). Article ADS Google Scholar * Riedi, S., Hugi, A., Bismuto, A., Beck, M. & Faist, J. Broadband
external cavity tuning in the 3−4 μm window. _Appl. Phys. Lett._ 103, 031108 (2013). Article ADS Google Scholar * Riedi, S. et al. Broadband superluminescence, 5.9 μm to 7.2 μm, of a
quantum cascade gain device. _Opt. Express_ 23, 7184–7189 (2015). Article ADS Google Scholar * Burghoff, D. et al. Terahertz laser frequency combs. _Nat. Photon._ 8, 462–467 (2014).
Article ADS Google Scholar * Rösch, M., Scalari, G., Beck, M. & Faist, J. Octave-spanning semiconductor laser. _Nat. Photon._ 9, 42–47 (2014). Article ADS Google Scholar * Friedli,
P. et al. Four-wave mixing in a quantum cascade laser amplifier. _Appl. Phys. Lett._ 102, 222104 (2013). Article ADS Google Scholar * DeLong, K. W., Trebino, R., Hunter, J. & White,
W. E. Frequency-resolved optical gating with the use of second-harmonic generation. _J. Opt. Soc. Am. B_ 11, 2206–2215 (1994). Article ADS Google Scholar * Freeman, J. R. et al. Electric
field sampling of modelocked pulses from a quantum cascade laser. _Opt. Express_ 21, 16162–16169 (2013). Article ADS Google Scholar * Villares, G., Hugi, A., Blaser, S. & Faist, J.
Dual-comb spectroscopy based on quantum-cascade-laser frequency combs. _Nat. Commun._ 5, 5192 (2014). Article ADS Google Scholar * Cappelli, F. et al. Frequency stability characterization
of a quantum cascade laser frequency comb. _Laser Photon. Rev._ 10, 623–630 (2016). Article ADS Google Scholar * Cappelli, F., Villares, G., Riedi, S. & Faist, J. Intrinsic linewidth
of quantum cascade laser frequency combs. _Optica_ 2, 836–840 (2015). Article Google Scholar * Burghoff, D. et al. Evaluating the coherence and time-domain profile of quantum cascade
laser frequency combs. _Opt. Express_ 23, 1190–1202 (2015). Article ADS Google Scholar * Singleton, M., Jouy, P., Beck, M. & Faist, J. Evidence of linear chirp in mid-infrared quantum
cascade lasers. _Optica_ 5, 948–953 (2018). Article Google Scholar * Keilmann, F., Gohle, C. & Holzwarth, R. Time-domain mid-infrared frequency-comb spectrometer. _Opt. Lett._ 29,
1542–1544 (2004). Article ADS Google Scholar * Coddington, I., Newbury, N. & Swann, W. Dual-comb spectroscopy. _Optica_ 3, 414–426 (2016). Article Google Scholar * Chen, Z., Yan,
M., Hänsch, T. & Picqué, N. A phase-stable dual-comb interferometer. _Nat. Commun._ 9, 3035 (2018). Article ADS Google Scholar * Galli, I. et al. High-coherence mid-infrared frequency
comb. _Opt. Express_ 21, 28877–28885 (2013). Article ADS Google Scholar * Galli, I. et al. Mid-infrared frequency comb for broadband high precision and sensitivity molecular
spectroscopy. _Opt. Lett._ 39, 5050–5053 (2014). Article ADS Google Scholar * Campo, G. et al. Shaping the spectrum of a down-converted mid-infrared frequency comb. _J. Opt. Soc. Am. B_
34, 2287–2294 (2017). Article ADS Google Scholar * Consolino, L. et al. Phase-locking to a free-space terahertz comb for metrological-grade terahertz lasers. _Nat. Commun._ 3, 1040
(2012). Article ADS Google Scholar * Bartalini, S. et al. Frequency-comb-assisted terahertz quantum cascade laser spectroscopy. _Phys. Rev. X_ 4, 021006 (2014). Google Scholar *
Benea-Chelmus, I.-C., Rösch, M., Scalari, G., Beck, M. & Faist, J. Intensity autocorrelation measurements of frequency combs in the terahertz range. _Phys. Rev. A_ 96, 033821 (2017).
Article ADS Google Scholar * Wang, F. et al. Generating ultrafast pulses of light from quantum cascade lasers. _Optica_ 2, 944–949 (2015). Article Google Scholar * Ferdous, F. et al.
Spectral line-by-line pulse shaping of on-chip microresonator frequency combs. _Nat. Photon._ 5, 770–776 (2011). Article ADS Google Scholar * Khurgin, J. B., Dikmelik, Y., Hugi, A. &
Faist, J. Coherent frequency combs produced by self frequency modulation in quantum cascade lasers. _Appl. Phys. Lett._ 104, 081118 (2014). Article ADS Google Scholar * Villares, G. &
Faist, J. Quantum cascade laser combs: effects of modulation and dispersion. _Opt. Express_ 23, 1651–1669 (2015). Article ADS Google Scholar * Tzenov, P., Burghoff, D., Hu, Q. &
Jirauschek, C. Time domain modeling of terahertz quantum cascade lasers for frequency comb generation. _Opt. Express_ 24, 23232–23247 (2016). Article ADS Google Scholar * Del’Haye, P.,
Beha, K., Papp, S. B. & Diddams, S. A. Self-injection locking and phase-locked states in microresonator-based optical frequency combs. _Phys. Rev. Lett._ 112, 043905 (2014). Article ADS
Google Scholar * Herr, T. et al. Temporal solitons in optical microresonators. _Nat. Photon._ 8, 145–152 (2013). Article ADS Google Scholar * Mazzacurati, V., Benassi, P. & Ruocco,
G. A new class of multiple dispersion grating spectrometers. _J. Phys. E_ 21, 798–804 (1988). Article ADS Google Scholar Download references ACKNOWLEDGEMENTS The authors acknowledge
financial support from the Ministero dell’Istruzione, dell’Università e della Ricerca (project PRIN-2015KEZNYM NEMO), the European Union’s Horizon 2020 research and innovation programme
(Laserlab-Europe Project, grant no. 654148; CHIC Project, ERC grant no. 724344; ULTRAQCL Project, FET Open grant no 665158; Qombs Project, FET Flagship on Quantum Technologies grant no.
820419), the Italian ESFRI Roadmap (‘Extreme Light Infrastructure’—ELI Project) and the Swiss National Science Foundation (SNF200020-165639). AUTHOR INFORMATION Author notes * These authors
contributed equally: Francesco Cappelli, Luigi Consolino. AUTHORS AND AFFILIATIONS * CNR-INO – Istituto Nazionale di Ottica, Florence, Italy Francesco Cappelli, Luigi Consolino, Giulio
Campo, Iacopo Galli, Davide Mazzotti, Annamaria Campa, Pablo Cancio Pastor, Roberto Eramo, Paolo De Natale & Saverio Bartalini * LENS – European Laboratory for Non-Linear Spectroscopy,
Sesto Fiorentino, Italy Francesco Cappelli, Luigi Consolino, Giulio Campo, Iacopo Galli, Davide Mazzotti, Annamaria Campa, Pablo Cancio Pastor, Roberto Eramo, Paolo De Natale & Saverio
Bartalini * ppqSense Srl, Campi Bisenzio, Italy Iacopo Galli, Davide Mazzotti, Pablo Cancio Pastor & Saverio Bartalini * ASI – Agenzia Spaziale Italiana, Contrada Terlecchia, Matera,
Italy Mario Siciliani de Cumis * Institute for Quantum Electronics, ETH Zurich, Zürich, Switzerland Markus Rösch, Mattias Beck, Giacomo Scalari & Jérôme Faist Authors * Francesco
Cappelli View author publications You can also search for this author inPubMed Google Scholar * Luigi Consolino View author publications You can also search for this author inPubMed Google
Scholar * Giulio Campo View author publications You can also search for this author inPubMed Google Scholar * Iacopo Galli View author publications You can also search for this author
inPubMed Google Scholar * Davide Mazzotti View author publications You can also search for this author inPubMed Google Scholar * Annamaria Campa View author publications You can also search
for this author inPubMed Google Scholar * Mario Siciliani de Cumis View author publications You can also search for this author inPubMed Google Scholar * Pablo Cancio Pastor View author
publications You can also search for this author inPubMed Google Scholar * Roberto Eramo View author publications You can also search for this author inPubMed Google Scholar * Markus Rösch
View author publications You can also search for this author inPubMed Google Scholar * Mattias Beck View author publications You can also search for this author inPubMed Google Scholar *
Giacomo Scalari View author publications You can also search for this author inPubMed Google Scholar * Jérôme Faist View author publications You can also search for this author inPubMed
Google Scholar * Paolo De Natale View author publications You can also search for this author inPubMed Google Scholar * Saverio Bartalini View author publications You can also search for
this author inPubMed Google Scholar CONTRIBUTIONS F.C. and S.B. conceived the experiment. L.C., F.C., G.C., I.G., M.S.d.C., A.C., P.C.P. and R.E. performed the measurements. F.C., G.C., R.E.
and S.B. analysed the data. L.C. and F.C. wrote the manuscript. G.C., D.M., M.S.d.C., P.C.P., R.E., S.B., G.S., J.F. and P.D.N. contributed to manuscript revision. J.F., G.S., M.R. and M.B.
provided the quantum cascade lasers. L.C., F.C., D.M., P.C.P., R.E., S.B., G.S., J.F. and P.D.N. discussed the results. All work was performed under the joint supervision of P.D.N. and S.B.
CORRESPONDING AUTHORS Correspondence to Francesco Cappelli or Luigi Consolino. ETHICS DECLARATIONS COMPETING INTERESTS The authors declare no competing interests. ADDITIONAL INFORMATION
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This file contains more information about the work and Supplementary Figs. 1–6. RIGHTS AND PERMISSIONS Reprints and permissions ABOUT THIS ARTICLE CITE THIS ARTICLE Cappelli, F., Consolino,
L., Campo, G. _et al._ Retrieval of phase relation and emission profile of quantum cascade laser frequency combs. _Nat. Photonics_ 13, 562–568 (2019).
https://doi.org/10.1038/s41566-019-0451-1 Download citation * Received: 24 July 2018 * Accepted: 29 April 2019 * Published: 17 June 2019 * Issue Date: August 2019 * DOI:
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