OSA's Digital Library

Optics Letters

Optics Letters


  • Editor: Alan E. Willner
  • Vol. 38, Iss. 11 — Jun. 1, 2013
  • pp: 1790–1792

Universal scaling laws of Kerr frequency combs

Stéphane Coen and Miro Erkintalo  »View Author Affiliations

Optics Letters, Vol. 38, Issue 11, pp. 1790-1792 (2013)

View Full Text Article

Enhanced HTML    Acrobat PDF (279 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



Using the known solutions of the Lugiato–Lefever equation, we derive universal trends of Kerr frequency combs. In particular, normalized properties of temporal cavity soliton solutions lead us to a simple analytic estimate of the maximum attainable bandwidth for given pump resonator parameters. The result is validated via comparison with past experiments encompassing a diverse range of resonator configurations and parameters.

© 2013 Optical Society of America

OCIS Codes
(190.4380) Nonlinear optics : Nonlinear optics, four-wave mixing
(190.5530) Nonlinear optics : Pulse propagation and temporal solitons
(230.5750) Optical devices : Resonators

ToC Category:
Optical Devices

Original Manuscript: March 29, 2013
Manuscript Accepted: April 17, 2013
Published: May 20, 2013

Stéphane Coen and Miro Erkintalo, "Universal scaling laws of Kerr frequency combs," Opt. Lett. 38, 1790-1792 (2013)

Sort:  Author  |  Year  |  Journal  |  Reset  


  1. T. J. Kippenberg, R. Holzwarth, and S. A. Diddams, Science 332, 555 (2011). [CrossRef]
  2. Y. K. Chembo and N. Yu, Phys. Rev. A 82, 033801 (2010). [CrossRef]
  3. A. B. Matsko, A. A. Savchenkov, V. S. Ilchenko, D. Seidel, and L. Maleki, Phys. Rev. A 85, 023830 (2012). [CrossRef]
  4. A. B. Matsko, W. Liang, A. A. Savchenkov, and L. Maleki, Opt. Lett. 38, 525 (2013). [CrossRef]
  5. A. B. Matsko, A. A. Savchenkov, W. Liang, V. S. Ilchenko, D. Seidel, and L. Maleki, Opt. Lett. 36, 2845 (2011). [CrossRef]
  6. S. Coen, H. G. Randle, T. Sylvestre, and M. Erkintalo, Opt. Lett. 38, 37 (2013). [CrossRef]
  7. T. Herr, V. Brasch, J. D. Jost, C. Y. Wang, N. M. Kondratiev, M. L. Gorodetsky, and T. J. Kippenberg, arXiv:1211.0733.
  8. F. Leo, S. Coen, P. Kockaert, S.-P. Gorza, Ph. Emplit, and M. Haelterman, Nat. Photonics 4, 471 (2010). [CrossRef]
  9. M. Haelterman, S. Trillo, and S. Wabnitz, Opt. Commun. 91, 401 (1992). [CrossRef]
  10. I. V. Barashenkov and Yu. S. Smirnov, Phys. Rev. E 54, 5707 (1996).
  11. A. B. Matsko, A. A. Savchenkov, and L. Maleki, Opt. Lett. 37, 4856 (2012). [CrossRef]
  12. F. Leo, L. Gelens, Ph. Emplit, M. Haelterman, and S. Coen, Opt. Express 21, 9180 (2013). [CrossRef]
  13. S. Wabnitz, Opt. Lett. 18, 601 (1993). [CrossRef]
  14. P. Del’Haye, A. Schliesser, O. Arcizet, T. Wilken, R. Holzwarth, and T. J. Kippenberg, Nature 450, 1214 (2007). [CrossRef]
  15. Y. Okawachi, K. Saha, J. S. Levy, Y. H. Wen, M. Lipson, and A. L. Gaeta, Opt. Lett. 36, 3398 (2011). [CrossRef]
  16. I. S. Grudinin, L. Baumgartel, and N. Yu, Opt. Express 20, 6604 (2012). [CrossRef]
  17. P. Del’Haye, T. Herr, E. Gavartin, M. L. Gorodetsky, R. Holzwarth, and T. J. Kippenberg, Phys. Rev. Lett. 107, 063901 (2011). [CrossRef]
  18. M. Erkintalo, Y. Q. Xu, S. G. Murdoch, J. M. Dudley, and G. Genty, Phys. Rev. Lett. 109, 223904 (2012). [CrossRef]
  19. F. Leo, A. Mussot, P. Kockaert, Ph. Emplit, M. Haelterman, and M. Taki, Phys. Rev. Lett. 110, 104103 (2013). [CrossRef]

Cited By

Alert me when this paper is cited

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.


Fig. 1. Fig. 2. Fig. 3.

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited