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

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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Fig. 1: Harmonic and fundamental comb operation in QCLs.
Fig. 2: Spectral evolution of FP QCLs.
Fig. 3: Mode spacing uniformity of the harmonic state.
Fig. 4: Harmonic comb operation in presence of native dispersion.

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References

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

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  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).

    Article  Google Scholar 

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

    Article  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  Google Scholar 

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

    Article  ADS  Google Scholar 

  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).

    Article  ADS  Google Scholar 

  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).

    Article  ADS  Google Scholar 

  11. 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 

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

    Article  ADS  Google Scholar 

  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).

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  Google Scholar 

  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).

    Article  ADS  Google Scholar 

  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).

    Article  ADS  Google Scholar 

  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).

    Article  ADS  Google Scholar 

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

    Article  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  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).

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  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).

    Article  Google Scholar 

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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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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.

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Correspondence to Marco Piccardo or Federico Capasso.

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Kazakov, D., Piccardo, M., Wang, Y. et al. Self-starting harmonic frequency comb generation in a quantum cascade laser. Nature Photon 11, 789–792 (2017). https://doi.org/10.1038/s41566-017-0026-y

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