Skip to main content
Log in

On negative higher-order Kerr effect and filamentation

  • Nonlinear Optics and Spectroscopy
  • Published:
Laser Physics

Abstract

As a contribution to the ongoing controversy about the role of higher-order Kerr effect (HOKE) in laser filamentation, we first provide thorough details about the protocol that has been employed to infer the HOKE indices from the experiment. Next, we discuss potential sources of artifact in the experimental measurements of these terms and show that neither the value of the observed birefringence, nor its inversion, nor the intensity at which it is observed, appear to be flawed. Furthermore, we argue that, independently on our values, the principle of including HOKE is straightforward. Due to the different temporal and spectral dynamics, the respective efficiency of defocusing by the plasma and by the HOKE is expected to depend substantially on both incident wavelength and pulse duration. The discussion should therefore focus on defining the conditions where each filamentation regime dominates.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. J. Kasparian, M. Rodriguez, G. Méjean, J. Yu, E. Salmon, H. Wille, R. Bourayou, S. Frey, Y.-B. André, A. Mysyrowicz, R. Sauerbrey, J.-P. Wolf, and L. Wöste, Science 301, 61 (2003).

    Article  ADS  Google Scholar 

  2. J. Kasparian, R. Ackermann, Y.-B. André, G. Méchain, G. Méjean, B. Prade, P. Rohwetter, E. Salmon, K. Stelmaszczyk, J. Yu, A. Mysyrowicz, R. Sauerbrey, L. Wöste, and J.-P. Wolf, Opt. Express 16, 5757 (2008).

    Article  ADS  Google Scholar 

  3. P. Rohwetter, J. Kasparian, K. Stelmaszczyk, Z. Hao, S. Henin, N. Lascoux, W. M. Nakaema, Y. Petit, M. Queißer, R. Salamé, E. Salmon, L. Wöste, and J.-P. Wolf, Nature Photon. 4, 451 (2010).

    Article  ADS  Google Scholar 

  4. S. Tzortzakis, G. Méchain, G. Pantalano, Y. B. André, B. Prade, M. Franco, A. Mysyrowicz, J. M. Munier, M. Gheudin, G. Beaudin, and P. Encrenaz, Opt. Lett. 27, 1944 (2002).

    Article  ADS  Google Scholar 

  5. S. L. Chin, S. A. Hosseini, W. Liu, Q. Luo, F. Théberge, N. Aközbek, A. Becker, V. P. Kandidov, O. G. Kosareva, and H. Schröder, Can. J. Phys. 83, 863 (2005).

    Article  ADS  Google Scholar 

  6. L. Bergé, S. Skupin, R. Nuter, J. Kasparian, and J.-P. Wolf, Rep. Prog. Phys. 70, 1633 (2007).

    Article  ADS  Google Scholar 

  7. A. Couairon and A. Mysyrowicz, Phys. Rep. 441, 47 (2007).

    Article  ADS  Google Scholar 

  8. J. Kasparian and J.-P. Wolf, Opt. Express 16, 466 (2008).

    Article  ADS  Google Scholar 

  9. V. Loriot, E. Hertz, O. Faucher, and B. Lavorel, Opt. Express 17, 13429 (2009); Opt. Express 18, 3011(E) (2010).

    Article  ADS  Google Scholar 

  10. 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).

    Article  ADS  Google Scholar 

  11. W. Ettoumi, P. Bejot, Y. Petit, V. Loriot, E. Hertz, O. Faucher, B. Lavorel, J. Kasparian, and J. Wolf, Phys. Rev. A 82, 033826 (2010).

    Article  ADS  Google Scholar 

  12. N. Aközbek, M. Scalora, C. M. Bowden, and S. L. Chin, Opt. Comm. 191, 353 (2001).

    Article  ADS  Google Scholar 

  13. A. Vinçotte and L. Bergé, Phys. Rev. A 70, 061802(R) (2004).

    Article  ADS  Google Scholar 

  14. G. Fibich and B. Ilan, Opt. Lett. 29, 887 (2004).

    Article  ADS  Google Scholar 

  15. L. Bergé, S. Skupin, G. Méjean, J. Kasparian, J. Yu, S. Frey, E. Salmon, and J. P. Wolf, Phys. Rev. E 71, 016602 (2005).

    Article  ADS  Google Scholar 

  16. J.-F. Zhang, Q. Tian, Y.-Y. Wang, C.-Q. Dai, and L. Wu, Phys. Rev. A 81, 023832 (2010).

    Article  ADS  Google Scholar 

  17. M. Kolesik, E. M. Wright, and J. V. Moloney, Opt. Lett. 35, 2550 (2010).

    Article  ADS  Google Scholar 

  18. P. Polynkin, M. Kolesik, E. M. Wright, and J. V. Moloney, arXiv:1010.2303vl [physics.optics] (2010).

  19. A. Teleki, E. M. Wright, and M. Kolesik, Phys. Rev. A 82, 065801 (2010).

    Article  ADS  Google Scholar 

  20. J. Kasparian, R. Sauerbrey, and S. L. Chin, Appl. Phys. B 71, 877 (2000).

    Article  ADS  Google Scholar 

  21. A. Becker, N. Aközbek, K. Vijayalakshmi, E. Oral, C. M. Bowden, and S. L. Chin, Appl. Phys. B 73, 287 (2001).

    Article  ADS  Google Scholar 

  22. H. Stapelfeldt and T. Seideman, Rev. Mod. Phys. 75, 543 (2003).

    Article  ADS  Google Scholar 

  23. T. Seideman, Phys. Rev. Lett. 83, 4971 (1999).

    Article  ADS  Google Scholar 

  24. F. Rosca-Pruna and M. J. J. Vrakking, Phys. Rev. Lett. 87, 153902 (2001).

    Article  ADS  Google Scholar 

  25. V. Renard, M. Renard, A. Rouzé, S. Guérin, H. R. Jauslin, B. Lavorel, and O. Faucher, Phys. Rev. A 70, 033420 (2004).

    Article  ADS  Google Scholar 

  26. V. Renard, M. Renard, S. Guérin, Y. T. Pashayan, B. Lavorel, O. Faucher, and H. R. Jauslin, Phys. Rev. Lett. 90, 153601 (2003).

    Article  ADS  Google Scholar 

  27. A. Rouzé, V. Renard, B. Lavorel, and O. Faucher, J. Phys. B 38, 2329 (2005).

    Article  ADS  Google Scholar 

  28. V. Loriot, P. Tzallas, E. P. Benis, E. Hertz, B. Lavorel, D. Charalambidis, and O. Faucher, J. Phys. B 40, 2503 (2007).

    Article  ADS  Google Scholar 

  29. R. W. Boyd, Nonlinear Optics, 3rd ed. (Academic, Boston, 2008).

    Google Scholar 

  30. J. R. Lalanne, A. Ducasse, and S. Kielich, Laser-Molecule Interaction: Laser Physics and Molecular Nonlinear Optics (Wiley, New York, 1996).

    Google Scholar 

  31. J. Arabat and J. Etchepare, J. Opt. Soc. Am. B 10, 2377 (1993).

    Article  ADS  Google Scholar 

  32. P. Béjot, Y. Petit, L. Bonacina, J. Kasparian, M. Moret, and J.-P. Wolf, Opt. Express 16, 7564 (2008).

    Article  ADS  Google Scholar 

  33. Y. Petit, P. Béjot, L. Bonacina, J. Kasparian, M. Moret, and J.-P. Wolf, Laser Phys. 19, 336 (2009).

    Article  ADS  Google Scholar 

  34. C. Marceau, S. Ramakrishna, S. Génier, T.-J. Wang, Y. Chen, F. Théberge, M. Chateauneuf, J. Dubois, T. Seideman, and S. L. Chin, Opt. Comm. 283, 2732 (2010).

    Article  ADS  Google Scholar 

  35. S. Tzortzakis, B. Prade, M. Franco, and A. Mysyrowicz, Opt. Commun. 181, 123 (2000).

    Article  ADS  Google Scholar 

  36. P. Sprangle, E. Esarey, and B. Hafizi, Phys. Rev. E 56, 5894 (1997).

    Article  ADS  Google Scholar 

  37. A. Talebpour, J. Yang, and S. L. Chin, Opt. Commun. 163, 29 (1999).

    Article  ADS  Google Scholar 

  38. M. Nurhuda, A. Suda, and K. Midorikawa, Phys. Rev. A 66, 041802 (2002).

    Article  ADS  Google Scholar 

  39. M. Nurhuda, A. Suda, and K. Midorikawa, New J. Phys. 10, 053006 (2008).

    Article  ADS  Google Scholar 

  40. C. Brée, A. Demircan, and G. Steinmeyer, “Saturation of the All-Optical Kerr Effect,” WIAS Preprint no 1540 (2010), available from http://www.wias-berlin.de/preprint/1540/wias-preprints-1540.pdf (to be published in Phys. Rev. Lett.).

  41. P. B. Corkum, Phys. Rev. Lett. 71, 1994 (1993).

    Article  ADS  Google Scholar 

  42. J. Itatani, J. Levesque, D. Zeidler, H. Niikura, H. Pepin, J. C. Kieffer, P. B. Corkum, and D. M. Villeneuve, Nature 432, 867 (2004).

    Article  ADS  Google Scholar 

  43. A. Dogariu, T. Xia, D. J. Hagan, A. A. Said, E. W. Van Stryland, and N. Bloembergen, J. Opt. Soc. Am. B 14, 796 (1997).

    Article  ADS  Google Scholar 

  44. C. Minhaeng, D. Mei, N. F. Scherer, G. R. Fleming, and S. Mukamel, J. Chem. Phys. 99, 2410 (1993).

    Article  ADS  Google Scholar 

  45. B. Lavorel, O. Faucher, M. Morgen, and R. Chaux, J. Raman Spectrosc. 31, 77 (2000).

    Article  ADS  Google Scholar 

  46. S. Smolorz and F. Wise, J. Opt. Soc. Am. B 17, 1636 (2000).

    Article  ADS  Google Scholar 

  47. A. Dubietis, E. Gaizauskas, G. Tamosauskas, and P. D. Trapani, Phys. Rev. Lett. 92, 253903 (2004).

    Article  ADS  Google Scholar 

  48. W. Ettoumi, Y. Petit, J. Kasparian, and J.-P. Wolf, Opt. Express 18, 6613 (2010).

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to J. Kasparian.

Additional information

Original Text © Astro, Ltd., 2011.

The article is published in the original.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Loriot, V., Béjot, P., Ettoumi, W. et al. On negative higher-order Kerr effect and filamentation. Laser Phys. 21, 1319–1328 (2011). https://doi.org/10.1134/S1054660X11130196

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S1054660X11130196

Keywords

Navigation