OSA's Digital Library

Journal of the Optical Society of America B

Journal of the Optical Society of America B


  • Editor: Henry Van Driel
  • Vol. 26, Iss. 8 — Aug. 1, 2009
  • pp: 1479–1483

Spatiotemporal interaction of optical beams in bidispersive media

Nikolaos Moshonas, Yannis Kominis, Panagiotis Papagiannis, Kyriakos Hizanidis, and Demetrios N. Christodoulides  »View Author Affiliations

JOSA B, Vol. 26, Issue 8, pp. 1479-1483 (2009)

View Full Text Article

Enhanced HTML    Acrobat PDF (461 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



The interaction of optical beams in bidispersive nonlinear media with self-focusing nonlinearity is numerically investigated. Under proper conditions, the interaction of spatially separated beams can lead to the creation of two prominent filaments along the other spatial or temporal dimension and, thus, to an effective spatiospatial or spatiotemporal exchange. This X-wave generation-based effect could potentially be exploited in optical realizations of spatial or spatiotemporal filtering.

© 2009 Optical Society of America

OCIS Codes
(050.1940) Diffraction and gratings : Diffraction
(190.3270) Nonlinear optics : Kerr effect
(190.7110) Nonlinear optics : Ultrafast nonlinear optics
(320.5550) Ultrafast optics : Pulses
(320.7120) Ultrafast optics : Ultrafast phenomena
(130.4815) Integrated optics : Optical switching devices

ToC Category:
Nonlinear Optics

Original Manuscript: January 12, 2009
Revised Manuscript: May 22, 2009
Manuscript Accepted: May 24, 2009
Published: July 1, 2009

Nikolaos Moshonas, Yannis Kominis, Panagiotis Papagiannis, Kyriakos Hizanidis, and Demetrios N. Christodoulides, "Spatiotemporal interaction of optical beams in bidispersive media," J. Opt. Soc. Am. B 26, 1479-1483 (2009)

Sort:  Author  |  Year  |  Journal  |  Reset  


  1. J. J. Rasmussen and K. Rypdal, “Blow-up in nonlinear Schrödinger equations. I. A general review,” Phys. Scr. 33, 481-497 (1986). [CrossRef]
  2. L. Bergé, “Wave collapse in physics: principles and applications to light and plasma waves,” Phys. Rep. 303, 259-370 (1998). [CrossRef]
  3. Y. Kivshar and D. E. Pelinovsky, “Self-focusing and transverse instabilities of solitary waves,” Phys. Rep. 331, 117-194 (2000). [CrossRef]
  4. P. Chernev and V. Petrov, “Self-focusing of light pulses in the presence of normal group-velocity dispersion,” Opt. Lett. 17, 172-174 (1992). [CrossRef] [PubMed]
  5. G. G. Luther, J. V. Moloney, and A. C. Newell, “Self-focusing threshold in normally dispersive media,” Opt. Lett. 19, 862-864 (1994). [CrossRef] [PubMed]
  6. G. G. Luther, J. V. Moloney, A. C. Newell, and E. M. Wright, “Short-pulse conical emission and spectral broadening in normally dispersive media,” Opt. Lett. 19, 789-791 (1994). [CrossRef] [PubMed]
  7. J. K. Ranka, R. W. Schirmer, and A. L. Gaeta, “Observation of pulse splitting in nonlinear dispersive media,” Phys. Rev. Lett. 77, 3783-3786 (1996). [CrossRef] [PubMed]
  8. A. G. Litvak, V. A. Mironov, and E. M. Sher, “Regime of wave-packet self-action with normal dispersion of the group velocity,” Phys. Rev. E 61, 891-893 (2000). [CrossRef]
  9. L. W. Liou, X. D. Cao, C. J. McKinstrie, and G. P. Agrawal, “Spatiotemporal instabilities in dispersive nonlinear media,” Phys. Rev. A 46, 4202-4208 (1992). [CrossRef] [PubMed]
  10. C. Conti “X-wave mediated instability of plane waves in Kerr media,” Phys. Rev. E 68, 016606 (2003). [CrossRef]
  11. M. Kolesik, E. M. Wright, and J. V. Moloney, “Dynamic nonlinear X waves for femtosecond pulse propagation in water,” Phys. Rev. Lett. 92, 253901 (2004). [CrossRef] [PubMed]
  12. D. Faccio, M. A. Porras, A. Dubietis, F. Bragheri, A. Couairon, and P. Di Trapani, “Conical emission, pulse splitting and X-wave parametric amplification in nonlinear dynamics of ultrashort light pulses,” Phys. Rev. Lett. 96, 193901 (2006). [CrossRef] [PubMed]
  13. P. Di Trapani, G. Valiulis, A. Piskarkas, O. Jedrkiewicz, J. Trull, C. Conti, and S. Trillo, “Spontaneously generated X-shaped light bullets,” Phys. Rev. Lett. 91, 093904 (2003). [CrossRef] [PubMed]
  14. C. Conti, “Generation and nonlinear dynamics of X waves of the Schrödinger equation,” Phys. Rev. E 70, 046613 (2004). [CrossRef]
  15. Y. Kominis, N. Moshonas, P. Papagiannis, K. Hizanidis, and D. N. Christodoulides, “Continuous wave controlled nonlinear X-wave generation,” Opt. Lett. 30, 2924-2926 (2005). [CrossRef] [PubMed]
  16. D. N. Christodoulides, N. K. Efremidis, P. Di Trapani, and B. A. Malomed, “Bessel X waves in two- and three-dimensional bidispersive optical systems,” Opt. Lett. 29, 1446-1448 (2004). [CrossRef] [PubMed]
  17. N. N. Akhmediev and S. Wabnitz, “Phase detecting of solitons by mixing with continuous wave background in an optical fiber,” J. Opt. Soc. Am. B 9, 236-242 (1992). [CrossRef]
  18. Y. Kominis and K. Hizanidis, “Solitary wave interactions with continuous waves,” Int. J. Bifurcation Chaos Appl. Sci. Eng. 16, 1753-1764 (2006). [CrossRef]
  19. L. Bergé, M. R. Schmidt, J. J. Rasmussen, P. L. Christiansen, and K. Ø. Rasmussen, “Amalgamation of interacting light beamlets in Kerr-type media,” J. Opt. Soc. Am. B 14, 2550-2562 (1997). [CrossRef]
  20. G. I. Stegeman and M. Segev, “Optical spatial solitons and their interactions: universality and diversity,” Science 286, 1518-1523 (1999). [CrossRef] [PubMed]
  21. L. Bergé, K. Germaschewski, R. Grauer, and J. J. Rasmussen, “Hyperbolic shock waves of the optical self-focusing with normal group-velocity dispersion,” Phys. Rev. Lett. 89, 153902 (2002). [CrossRef] [PubMed]

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.

Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited