OSA's Digital Library

Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 19, Iss. 10 — May. 9, 2011
  • pp: 9139–9146

Dynamics of elliptical beams in the anomalous group-velocity dispersion regime

Bonggu Shim, Samuel E. Schrauth, Luat T. Vuong, Yoshitomo Okawachi, and Alexander L. Gaeta  »View Author Affiliations

Optics Express, Vol. 19, Issue 10, pp. 9139-9146 (2011)

View Full Text Article

Enhanced HTML    Acrobat PDF (1256 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



We investigate 3D spatio-temporal focusing of elliptically-shaped beams in a bulk medium with Kerr nonlinearity and anomalous group-velocity dispersion (GVD). Strong space-time localization of the mode is observed through multi-filamentation with temporal compression by a factor of 3. This behavior is in contrast to the near-zero GVD regime in which minimal pulse temporal compression is observed. Our theoretical simulations qualitatively reproduce the experimental results showing the highly localized spatio-temporal profile in the anomalous-GVD regime, which contrasts to the weakly localized pulse in the normal-GVD regime.

© 2011 OSA

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

ToC Category:
Nonlinear Optics

Original Manuscript: February 8, 2011
Revised Manuscript: March 31, 2011
Manuscript Accepted: April 19, 2011
Published: April 26, 2011

Bonggu Shim, Samuel E. Schrauth, Luat T. Vuong, Yoshitomo Okawachi, and Alexander L. Gaeta, "Dynamics of elliptical beams in the anomalous group-velocity dispersion regime," Opt. Express 19, 9139-9146 (2011)

Sort:  Author  |  Year  |  Journal  |  Reset  


  1. J. Kasparian, M. Rodriguez, G. Méjean, J. Yu, E. Salmon, H. Wille, R. Bourayou, S. Frey, Y. B. Andre, A. Mysyrowicz, R. Sauerbrey, J.-P. Wolf, and L. Wöste, “White-light filaments for atmospheric analysis,” Science 301(5629), 61–64 (2003). [CrossRef] [PubMed]
  2. A. L. Gaeta, “Optics. Collapsing light really shines,” Science 301(5629), 54–55 (2003). [CrossRef] [PubMed]
  3. 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, “The propagation of powerful femtosecond laser pulses in optical media: physics, applications and new challenges,” Can. J. Phys. 83(9), 863–905 (2005). [CrossRef]
  4. A. Couairon and A. Mysyrowicz, “Femtosecond filamentation in transparent media,” Phys. Rep. 441(2-4), 47–189 (2007). [CrossRef]
  5. L. BergéS. Skupin, R. Nuter, J. Kasparian, and J.-P. Wolf, “Ultrashort filaments of light in weakly ionized optically transparent media,” Rep. Prog. Phys. 70(10), 1633–1713 (2007). [CrossRef]
  6. C. P. Hauri, W. Kornelis, F. W. Helbing, A. Heinrich, A. Couairon, A. Mysyrowicz, J. Biegert, and U. Keller, “Generation of intense, carrier-envelope phase-locked few-cycle laser pulses through filamentation,” Appl. Phys. B 79(6), 673–677 (2004). [CrossRef]
  7. V. I. Bespalov and V. I. Talanov, “Filamentary structure of light beams in non-linear liquids,” JETP Lett. 3, 307–310 (1966).
  8. G. Fibich, S. Eisenmann, B. Ilan, Y. Erlich, M. Fraenkel, Z. Henis, A. L. Gaeta, and A. Zigler, “Self-focusing distance of very high power laser pulses,” Opt. Express 13(15), 5897–5903 (2005). [CrossRef] [PubMed]
  9. J. W. Grantham, H. M. Gibbs, G. Khitrova, J. F. Valley, and X. Jiajin, “Kaleidoscopic spatial instability: Bifurcations of optical transverse solitary waves,” Phys. Rev. Lett. 66(11), 1422–1425 (1991). [CrossRef] [PubMed]
  10. G. Fibich and B. Ilan, “Self-focusing of circularly polarized beams,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 67(3), 036622 (2003). [CrossRef] [PubMed]
  11. S. Carrasco, S. Polyakov, H. Kim, L. Jankovic, G. I. Stegeman, J. P. Torres, L. Torner, M. Katz, and D. Eger, “Observation of multiple soliton generation mediated by amplification of asymmetries,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 67(4), 046616 (2003). [CrossRef] [PubMed]
  12. A. Dubietis, G. Tamosauskas, G. Fibich, and B. Ilan, “Multiple filamentation induced by input-beam ellipticity,” Opt. Lett. 29(10), 1126–1128 (2004). [CrossRef] [PubMed]
  13. G. Fibich, S. Eisenmann, B. Ilan, and A. Zigler, “Control of multiple filamentation in air,” Opt. Lett. 29(15), 1772–1774 (2004). [CrossRef] [PubMed]
  14. T. D. Grow and A. L. Gaeta, “Dependence of multiple filamentation on beam ellipticity,” Opt. Express 13(12), 4594–4599 (2005). [CrossRef] [PubMed]
  15. M. Centurion, Y. Pu, and D. Psaltis, “Self-organization of spatial solitons,” Opt. Express 13(16), 6202–6211 (2005). [CrossRef] [PubMed]
  16. V. Kudriasov, E. Gaizauskas, and V. Sirutkaitis, “Beam transformation and permanent modification in fused silica induced by femtosecond filaments,” J. Opt. Soc. Am. B 22(12), 2619–2627 (2005). [CrossRef]
  17. V. Y. Fedorov, V. P. Kandidov, O. G. Kosareva, N. Akozbek, M. Scalora, and S. L. Chin, “Filamentation of a femtosecond laser pulse with the initial beam ellipticity,” Laser Phys. 16(8), 1227–1234 (2006). [CrossRef]
  18. D. Majus, V. Jukna, G. Valiulis, and A. Dubietis, “Generation of periodic filament arrays by self-focusing of highly elliptical ultrashort pulsed laser beams,” Phys. Rev. A 79(3), 033843 (2009). [CrossRef]
  19. J.-P. Bérubé, R. Vallée, M. Bernier, O. Kosareva, N. Panov, V. Kandidov, and S. L. Chin, “Self and forced periodic arrangement of multiple filaments in glass,” Opt. Express 18(3), 1801–1819 (2010). [CrossRef] [PubMed]
  20. D. Majus, V. Jukna, G. Tamošauskas, G. Valiulis, and A. Dubietis, “Three-dimensional mapping of multiple filament arrays,” Phys. Rev. A 81(4), 043811 (2010). [CrossRef]
  21. L. T. Vuong, T. D. Grow, A. Ishaaya, A. L. Gaeta, G. W. ’t Hooft, E. R. Eliel, and G. Fibich, “Collapse of optical vortices,” Phys. Rev. Lett. 96(13), 133901 (2006). [CrossRef] [PubMed]
  22. X. Liu, L. J. Qian, and F. W. Wise, “Generation of optical spatiotemporal solitons,” Phys. Rev. Lett. 82(23), 4631–4634 (1999). [CrossRef]
  23. X. Liu, K. Beckwitt, and F. W. Wise, “Transverse instability of optical spatiotemporal solitons in quadratic media,” Phys. Rev. Lett. 85(9), 1871–1874 (2000). [CrossRef] [PubMed]
  24. Y. Silberberg, “Collapse of optical pulses,” Opt. Lett. 15(22), 1282–1284 (1990). [CrossRef] [PubMed]
  25. H. S. Eisenberg, R. Morandotti, Y. Silberberg, S. Bar-Ad, D. Ross, and J. S. Aitchison, “Kerr spatiotemporal self-focusing in a planar glass waveguide,” Phys. Rev. Lett. 87(4), 043902 (2001). [CrossRef] [PubMed]
  26. K. D. Moll, A. L. Gaeta, and G. Fibich, “Self-similar optical wave collapse: observation of the Townes profile,” Phys. Rev. Lett. 90(20), 203902 (2003). [CrossRef] [PubMed]
  27. R. Y. Chiao, E. Garmire, and C. H. Townes, “Self-trapping of optical beams,” Phys. Rev. Lett. 13(15), 479–482 (1964). [CrossRef]
  28. J. K. Ranka, A. L. Gaeta, A. Baltuska, M. S. Pshenichnikov, and D. A. Wiersma, “Autocorrelation measurement of 6-fs pulses based on the two-photon-induced photocurrent in a GaAsP photodiode,” Opt. Lett. 22(17), 1344–1346 (1997). [CrossRef]
  29. G. Fibich and B. Ilan, “Self-focusing of elliptical beams:an example of the failure of the aberrationless approximation,” J. Opt. Soc. Am. B 17(10), 1749–1758 (2000). [CrossRef]
  30. V. P. Kandidov and V. Y. Fedorov, “Properties of self-focusing of elliptic beams,” Quantum Electron. 34, 1163–1168 (2004). [CrossRef]
  31. G. Fibich and A. L. Gaeta, “Critical power for self-focusing in bulk media and in hollow waveguides,” Opt. Lett. 25(5), 335–337 (2000). [CrossRef]
  32. K. D. Moll and A. L. Gaeta, “Role of dispersion in multiple-collapse dynamics,” Opt. Lett. 29(9), 995–997 (2004). [CrossRef] [PubMed]
  33. A. Saliminia, S. L. Chin, and R. Vallée, “Ultra-broad and coherent white light generation in silica glass by focused femtosecond pulses at 1.5 um,” Opt. Express 13(15), 5731–5738 (2005). [CrossRef] [PubMed]
  34. M. A. Porras, A. Dubietis, A. Matijošius, R. Piskarskas, F. Bragheri, A. Averchi, and P. D. Trapani, “Characterization of conical emission of light filaments in media with anomalous dispersion,” J. Opt. Soc. Am. B 24(3), 581–584 (2007). [CrossRef]
  35. L. Bergé andS. Skupin, “Self-channeling of ultrashort laser pulses in materials with anomalous dispersion,” Phys. Rev. E 71(6), 065601(R) (2005).
  36. J. Liu, R. Li, and Z. Xu, “Few-cycle spatiotemporal soliton wave excited by filamentation of a femtosecond laser pulse in materials with anomalous dispersion,” Phys. Rev. A 74(4), 043801 (2006). [CrossRef]
  37. G. Tamošauskas, A. Dubietis, and G. Valiulis, “Soliton-effect optical pulse compression in bulk media with χ(3) nonlinerity,” Nonlinear Anal. Modelling Control 5, 99–105 (2000).
  38. S. Skupin and L. Berge, “Self-guiding of femtosecond light pulses in condensed media: Plasma generation versus chromatic dispersion,” Physica D 220(1), 14–30 (2006). [CrossRef]
  39. K. Kennedy, “A first-order model of computation of laser-induced breakdown thresholds in ocular and aqueous media: Part I – theory,” IEEE J. Quantum Electron. 31(12), 2241–2249 (1995). [CrossRef]
  40. L. Sudrie, A. Couairon, M. Franco, B. Lamouroux, B. Prade, S. Tzortzakis, and A. Mysyrowicz, “Femtosecond laser-induced damage and filamentary propagation in fused silica,” Phys. Rev. Lett. 89(18), 186601 (2002). [CrossRef] [PubMed]
  41. R. Gopal, V. Deepak, and S. Sivaramakrishnan, ““Sytematic study of spatiotemporal dynamics of intense femtosecond laser pulses in BK-7 glass,” Pramana J. Phys. 68(4), 547–569 (2007). [CrossRef]
  42. P. Audebert, Ph. Daguzan, A. Dos Santos, J. C. Gauthier, J. P. Geindre, S. Guizard, G. Hamoniaux, K. Krastev, P. Martin, G. Petite, and A. Antonetti, “Space-time observation of an electron gas in SiO2.,” Phys. Rev. Lett. 73(14), 1990–1993 (1994). [CrossRef] [PubMed]
  43. G. P. Agrawal, Nonlinear Fiber Optics, 4th ed. (Academic, San Diego, 2007).

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  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited