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Self-starting harmonic frequency comb generation in a quantum cascade laser

Nature Photonicsvolume 11pages789792 (2017) | Download Citation

Abstract

Optical frequency combs1,2 establish a rigid phase-coherent link between microwave and optical domains and are emerging as high-precision tools in an increasing number of applications3. Frequency combs with large intermodal spacing are employed in the field of microwave photonics for radiofrequency arbitrary waveform synthesis4,5 and for the generation of terahertz tones of high spectral purity in future wireless communication networks6,7. Here, we demonstrate self-starting harmonic frequency comb generation with a terahertz repetition rate in a quantum cascade laser. The large intermodal spacing caused by the suppression of tens of adjacent cavity modes originates from a parametric contribution to the gain due to temporal modulations of population inversion in the laser8,9. Using multiheterodyne self-detection, the mode spacing of the harmonic comb is shown to be uniform to within 5 × 10−12 parts of the central frequency. This new harmonic comb state extends the range of applications of quantum cascade laser frequency combs10,11,12,13.

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References

  1. 1.

    Udem, T., Holzwarth, R. & Hänsch, T. W. Optical frequency metrology. Nature 416, 233–237 (2002).

  2. 2.

    Hänsch, T. W. Nobel lecture: Passion for precision. Rev. Mod. Phys. 78, 1297–1309 (2006).

  3. 3.

    Diddams, S. A. The evolving optical frequency comb. J. Opt. Soc. Am. B 27, B51 (2010).

  4. 4.

    Huang, C.-B., Jiang, Z., Leaird, D. E., Caraquitena, J. & Weiner, A. M. Spectral line-by-line shaping for optical and microwave arbitrary waveform generations. Laser Photon. Rev. 2, 227–248 (2008).

  5. 5.

    Wang, J. et al. Reconfigurable radio-frequency arbitrary waveforms synthesized in a silicon photonic chip. Nat. Commun. 6, 5957 (2015).

  6. 6.

    Nagatsuma, T., Ducournau, G. & Renaud, C. C. Advances in terahertz communications accelerated by photonics. Nat. Photon. 10, 371–379 (2016).

  7. 7.

    Akyildiz, I. F., Jornet, J. M. & Han, C. Terahertz band: next frontier for wireless communications. Phys. Comm. 12, 16–32 (2014).

  8. 8.

    Lamb, W. E. Theory of an optical maser. Phys. Rev. 134, 1429–1450 (1964).

  9. 9.

    Agrawal, G. P. Population pulsations and nondegenerate four-wave mixing in semiconductor lasers and amplifiers. J. Opt. Soc. Am. B 5, 147–159 (1988).

  10. 10.

    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).

  11. 11.

    Villares, G., Hugi, A., Blaser, S. & Faist, J. Dual-comb spectroscopy based on quantum-cascade-laser frequency combs. Nat. Commun. 5, 5192 (2014).

  12. 12.

    Burghoff, D. et al. Terahertz laser frequency combs. Nat. Photon. 8, 462–467 (2014).

  13. 13.

    Lu, Q. Y. et al. High power frequency comb based on mid-infrared quantum cascade laser at λ 9 μm. Appl. Phys. Lett. 106, 051105 (2014).

  14. 14.

    Kippenberg, T. J., Holzwarth, R. & Diddams, S. A. Microresonator-based optical frequency combs. Science 332, 555–559 (2011).

  15. 15.

    Wang, C. Y. et al. Mid-infrared optical frequency combs at 2.5 μm based on crystalline microresonators. Nat. Commun. 4, 1345 (2013).

  16. 16.

    Del’Haye, P. et al. Phase-coherent microwave-to-optical link with a self-referenced microcomb. Nat. Photon. 10, 516–520 (2016).

  17. 17.

    Faist, J. et al. Quantum cascade laser frequency combs. Nanophotonics 5, 272–291 (2016).

  18. 18.

    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).

  19. 19.

    Mansuripur, T. S. et al. Single-mode instability in standing-wave lasers: the quantum cascade laser as a self-pumped parametric oscillator. Phys. Rev. A 94, 063807 (2016).

  20. 20.

    Arahira, S., Matsui, Y. & Ogawa, Y. Mode-locking at very high repetition rates more than terahertz in passively mode-locked distributed-Bragg-reflector laser diodes. IEEE J. Quant. Electron. 32, 1211–1224 (1996).

  21. 21.

    Villares, G. et al. Dispersion engineering of quantum cascade laser frequency combs. Optica 3, 252 (2016).

  22. 22.

    Del’Haye, P., Schliesser, A. & Arcizet, O. Optical frequency comb generation from a monolithic microresonator. Nature 450, 1214–1217 (2007).

  23. 23.

    Rösch, M. et al. On-chip, self-detected terahertz dual-comb source. Appl. Phys. Lett. 108, 171104 (2016).

  24. 24.

    Hofstetter, D. & Faist, J. Measurement of semiconductor laser gain and dispersion curves utilizing Fourier transforms of the emission spectra. IEEE Photon. Technol. Lett. 11, 1372–1374 (1999).

  25. 25.

    Petrov, V., Pyattaev, A., Moltchanov, D. & Koucheryavy, Y. Terahertz band communications: applications, research challenges, and standardization activities. Proc. 8 th International Congress on Ultra Modern Telecommunications and Control Systems and Workshops, 183–190 (2016).

  26. 26.

    Hinkov, B., Hugi, A., Beck, M. & Faist, J. RF-modulation of mid-infrared distributed feedback quantum cascade lasers. Opt. Express 24, 3294 (2016).

  27. 27.

    Xie, F. et al. Room temperature CW operation of short wavelength quantum cascade lasers made of strain balanced Ga x In1–x As/Al y In1–y As material on InP substrates. IEEE J. Sel. Topics Quantum Electron. 17, 1445–1452 (2011).

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Acknowledgements

This work was supported by the DARPA SCOUT programme through grant no. W31P4Q-16-1-0002. The authors acknowledge support from the National Science Foundation under award no. ECCS-1614631. Any opinions, findings, conclusions or recommendations expressed in this material are those of the authors and do not necessarily reflect the views of the Assistant Secretary of Defense for Research and Engineering or of the National Science Foundation. M.P. and D.K. thank J.B. MacArthur for the assembly of RF filters, A.Y. Zhu for sputtering gold on a QCL submount, and N. Rubin for careful reading of the manuscript.

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Author notes

  1. Dmitry Kazakov and Marco Piccardo contributed equally to this work.

Affiliations

  1. Harvard John A. Paulson School of Engineering and Applied Sciences, Harvard University, Cambridge, MA, 02138, USA

    • Dmitry Kazakov
    • , Marco Piccardo
    • , Paul Chevalier
    •  & Federico Capasso
  2. Department of Information Technology and Electrical Engineering, ETH Zurich, 8092, Zurich, Switzerland

    • Dmitry Kazakov
  3. Department of Physics and Astronomy, Texas A&M University, College Station, TX, 77843, USA

    • Yongrui Wang
    •  & Alexey Belyanin
  4. Pendar Technologies, 30 Spinelli Place, Cambridge, MA, 02138, USA

    • Tobias S. Mansuripur
  5. Thorlabs Quantum Electronics (TQE), Jessup, MD, 20794, USA

    • Feng Xie
    • , Chung-en Zah
    •  & Kevin Lascola

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Contributions

D.K. and M.P. conceived, designed and implemented the experiments and wrote the manuscript with feedback from the other co-authors. P.C. contributed to the realization of the experiments. F.X., C.Z. and K.L. provided the QCL devices. Y.W. and A.B. developed the theoretical model and contributed to the theoretical part of the manuscript. T.S.M., P.C., A.B., M.P., D.K. and F.C. discussed the data. All work was done under the supervision of F.C.

Competing interests

The authors declare no competing financial interests.

Corresponding authors

Correspondence to Marco Piccardo or Federico Capasso.

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https://doi.org/10.1038/s41566-017-0026-y

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