OSA's Digital Library

Optics Letters

Optics Letters


  • Editor: Alan E. Willner
  • Vol. 35, Iss. 16 — Aug. 15, 2010
  • pp: 2795–2797

Arbitrary-order nonlinear contribution to self-steepening

Jérôme Kasparian, Pierre Béjot, and Jean-Pierre Wolf  »View Author Affiliations

Optics Letters, Vol. 35, Issue 16, pp. 2795-2797 (2010)

View Full Text Article

Enhanced HTML    Acrobat PDF (437 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



On the basis of the recently published generalized Miller formulas, we derive the spectral dependence of the contribution of arbitrary-order nonlinear indices to the group-velocity index. We show that in the context of laser filamentation in gases, all experimentally accessible orders (up to the ninth-order nonlinear susceptibility χ ( 9 ) in air and χ ( 11 ) in argon) have contributions of alternative signs and similar magnitudes. Moreover, we show both analytically and numerically that the dispersion term of the nonlinear indices must be considered when computing the intensity-dependent group velocity.

© 2010 Optical Society of America

OCIS Codes
(120.4530) Instrumentation, measurement, and metrology : Optical constants
(190.3270) Nonlinear optics : Kerr effect
(190.7110) Nonlinear optics : Ultrafast nonlinear optics

ToC Category:
Nonlinear Optics

Original Manuscript: June 1, 2010
Revised Manuscript: July 8, 2010
Manuscript Accepted: July 15, 2010
Published: August 13, 2010

Jérôme Kasparian, Pierre Béjot, and Jean-Pierre Wolf, "Arbitrary-order nonlinear contribution to self-steepening," Opt. Lett. 35, 2795-2797 (2010)

Sort:  Author  |  Year  |  Journal  |  Reset  


  1. R. W. Boyd, Nonlinear Optics (Academic, 2008).
  2. S. L. Chin, S. A. Hosseini, W. Liu, Q. Luo, F. Théberge, N. Aközbek, A. Becker, V. P. Kandidov, O. G. Kosareva, and H. Schroeder, Can. J. Phys. 83, 863 (2005). [CrossRef]
  3. L. Bergé, S. Skupin, R. Nuter, J. Kasparian, and J.-P. Wolf, Rep. Prog. Phys. 70, 1633 (2007). [CrossRef]
  4. A. Couairon and A. Mysyrowicz, Phys. Rep. 441, 47 (2007). [CrossRef]
  5. J. Kasparian and J.-P. Wolf, Opt. Express 16, 466 (2008). [CrossRef] [PubMed]
  6. J. M. Dudley, G. Genty, and S. Coen, Rev. Mod. Phys. 78, 1135 (2006). [CrossRef]
  7. V. Loriot, E. Hertz, O. Faucher, and B. Lavorel, Opt. Express 17, 13429 (2009). [CrossRef] [PubMed]
  8. V. Loriot, E. Hertz, O. Faucher, and B. Lavorel, Opt. Express 18, 3011 (2010). [CrossRef]
  9. R. C. Miller, Appl. Phys. Lett. 5, 17 (1964). [CrossRef]
  10. W. Ettoumi, Y. Petit, J. Kasparian, and J.-P. Wolf, Opt. Express 18, 6613 (2010). [CrossRef] [PubMed]
  11. P. Béjot, J. Kasparian, S. Henin, V. Loriot, T. Vieillard, E. Hertz, O. Faucher, B. Lavorel, and J.-P. Wolf, Phys. Rev. Lett. 104, 103903 (2010). [CrossRef] [PubMed]
  12. B. E. Schmidt, P. Béjot, M. Giguère, A. D. Shiner, C. Trallero-Herrero, E. Bisson, J. Kasparian, J.-P. Wolf, D. M. Villeneuve, J.-C. Kieffer, P. B. Corkum, and F. Légaré, Appl. Phys. Lett. 96, 121109 (2010). [CrossRef]
  13. P. Béjot, B. E. Schmidt, J. Kasparian, J.-P. Wolf, and F. Legaré, Phys. Rev. A 81, 063828 (2010). [CrossRef]
  14. N. Aközbek, M. Scalora, C. M. Bowden, and S. L. Chin, Opt. Commun. 191, 353 (2001). [CrossRef]
  15. I. S. Golubtsov and O. G. Kosareva, J. Opt. Technol. 69, 462 (2002). [CrossRef]
  16. R. W. Boyd and D. J. Gauthier, Science 326, 1074 (2009). [CrossRef] [PubMed]
  17. J. Zhang, Z. H. Lu, and L. J. Wang, Appl. Opt. 47, 3143 (2008). [CrossRef] [PubMed]
  18. J. Kasparian, R. Sauerbrey, and S. L. Chin, Appl. Phys. B 71, 877 (2000).
  19. A. Becker, N. Aközbek, K. Vijayalakshmi, E. Oral, C. M. Bowden, and S. L. Chin, Appl. Phys. B 73, 287(2001).

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