OSA's Digital Library

Optics Express

Optics Express

  • Editor: Michael Duncan
  • Vol. 13, Iss. 15 — Jul. 25, 2005
  • pp: 5897–5903

Self-focusing distance of very high power laser pulses

Gadi Fibich, Shmuel Eisenmann, Boaz Ilan, Yossi Erlich, Moshe Fraenkel, Zohar Henis, Alexander L. Gaeta, and Arie Zigler  »View Author Affiliations

Optics Express, Vol. 13, Issue 15, pp. 5897-5903 (2005)

View Full Text Article

Enhanced HTML    Acrobat PDF (167 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



We show numerically for continuous-wave beams and experimentally for femtosecond pulses propagating in air, that the collapse distance of intense laser beams in a bulk Kerr medium scales as 1/P1/2 for input powers P that are moderately above the critical power for self focusing, but that at higher powers the collapse distance scales as 1/P.

© 2005 Optical Society of America

OCIS Codes
(010.1300) Atmospheric and oceanic optics : Atmospheric propagation
(190.5530) Nonlinear optics : Pulse propagation and temporal solitons
(190.7110) Nonlinear optics : Ultrafast nonlinear optics

ToC Category:
Research Papers

Original Manuscript: June 27, 2005
Revised Manuscript: July 20, 2005
Published: July 25, 2005

Gadi Fibich, Shmuel Eisenmann, Boaz Ilan, Yossi Erlich, Moshe Fraenkel, Zohar Henis, Alexander Gaeta, and Arie Zigler, "Self-focusing Distance of Very High Power Laser Pulses," Opt. Express 13, 5897-5903 (2005)

Sort:  Journal  |  Reset  


  1. P. L. Kelley, "Self-Focusing of Optical Beams," Phys. Rev. Lett. 15, 1005 (1965). [CrossRef]
  2. Y. Shen, "Self-focusing: Experimental," Prog. Quant. Electron. 4, 1 (1975). [CrossRef]
  3. A. J. Campillo, S. L. Shapiro, and B. R. Suydam, "Relationship of self-focusing to aptial instability modes" Appl. Phys. Lett. 24, 178 (1974). [CrossRef]
  4. B. R. Suydam, "Self-focusing of very powerful laser beams II," IEEE J. Quantum Electron. 10, 837 (1974). [CrossRef]
  5. L. Wöste, C. Wedekind, and H. Wille, P. Rairoux, B. Stein, S. Nikolov, Chr. Werner, S. Niedermeier,H. Schillinger, R. Sauerbrey "Femtosecond Atmospheric Lamp," Laser Optoelektron 29, 51 (1997).
  6. S. Tzortzakis, L. Bergé, A. Couairon, M. Franco, B. Prade, A. Mysyrowicz, "Breakup and Fusion of Self-Guided Femtosecond Light Pulses in Air," Phys. Rev. Lett. 86, 5470 (2001). [CrossRef] [PubMed]
  7. A. Couairon, "Light bullets from femtosecond filamentation," Eur. Phys. J. D. 27, 159 (2003). [CrossRef]
  8. 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, L. Wöste, "White-Light Filaments for Atmospheric Analysis," Science 301, 61 (2004) [CrossRef]
  9. V. I. Bespalov and V. I. Talanov, "Filamentary Structure of Light Beams in Nonlinear Media," JETP Lett. 3, 307 (1966).
  10. G. Fibich and B. Ilan, "Vectorial and random effects in self-focusing and in multiple filamentation," Physica D 157, 112 (2001). [CrossRef]
  11. K. D. Moll, A. L. Gaeta, and G. Fibich, "Self-Similar Optical Wave Collapse: Observation of the Townes Profile," Phys. Rev. Lett. 90, 203902 (2003). [CrossRef] [PubMed]
  12. F. Merle and P. Raphael, "On universality of blow-up profile for L2 critical nonlinear Schrödinger equation," Invent. Math. 156, 565 (2004). [CrossRef]
  13. G. Fibich, S. Eisenmann, B. Ilan, and A. Zigler, "Control of Multiple Filamentaion in Air," Opt. Lett. 29, 1772 (2004).

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.

« Previous Article

OSA is a member of CrossRef.

CrossCheck Deposited