Abstract

In the search for suitable new media for the propagation of (3+1) D optical light bullets, we show that nonlinear dissipation provides interesting possibilities. Using the complex cubic-quintic Ginzburg-Landau equation model with localized initial conditions, we are able to observe stable light bullet propagation or higher-order transverse pattern formation. The type of evolution depends on the model parameters.

© 2005 Optical Society of America

» View Full Text: Acrobat PDF (3024 KB)

History
Original Manuscript: September 12, 2005
Revised Manuscript: October 25, 2005
Published: November 14, 2005

References

1. Y. Silberberg, �??Collapse of optical pulses,�?? Opt. Lett. 15, 1282 (1990).
2. See the review paper : B. A. Malomed, D. Mihalache, F. Wise, and L. Torner, �??Spatiotemporal solitons,�?? J. Opt. B 7, R53 (2005).
3. D. Mihalache, D. Mazilu, L.-C. Crasovan , B. Malomed, F. Lederer, and L. Torner, �??Soliton clusters in three-dimensional media with competing cubic and quintic nonlinearities,�?? J. Opt. B 6, S333 (2004).
4. N. Akhmediev and J. M. Soto-Crespo, �??Generation of a train of 3D optical solitons in a self-focusing medium,�?? Phys. Rev. A 47, 1358 (1993). [CrossRef]
5. Y.-F. Chen, K. Beckwitt, F. Wise, and B. A. Malomed, �??Criteria for the experimental observation of multidimensional optical solitons in saturable media,�?? Phys. Rev. E 70, 046610 (2004). [CrossRef]
6. G. Duree, J. Shultz, G. Salamo, M. Segev, A. Yariv, B. Crosignani, P. Di Porto, E. Sharp, and R. Neurgaonkar, �??Observation of self-trapping of an optical beam due to the photorefractive effect,�?? Phys. Rev. Lett. 71, 533 (1993). [CrossRef]
7. H. Meng, G. Salamo, M.-F. Shih, and M. Segev, �??Coherent collisions of photorefractive solitons,�?? Opt. Lett. 22, 448 (1997).
8. D. Skryabin and W. Firth, �??Generation and stability of optical bullets in quadratic nonlinear media,�?? Optics Commun. 148, 79 (1998). [CrossRef]
9. X. Liu, L. J. Qian, and F. W. Wise, �??Generation of optical spatiotemporal solitons,�?? Phys. Rev. Lett. 82, 4631 (1999). [CrossRef]
10. See the review paper: L. Torner and A. Barthélémy, �??Quadratic solitons: recent developments,�?? IEEE J. Quantum Electron. 39, 22 (2003). [CrossRef]
11. L. Jankovic, P. Aboussan, M. Affolter, and G. Stegeman, �??Quadratic soliton collisions,�?? Opt. Express 12, 5562 (2004), <a href="http://www.opticsexpress.org/abstract.cfm?URI=OPEX-12-22-5562.">http://www.opticsexpress.org/abstract.cfm?URI=OPEX-12-22-5562</a> [CrossRef]
12. A. Buryak, P. Di Trapani, D. Skryabin, and S. Trillo, �??Optical solitons due to quadratic nonlinearities: from basic physics to futuristic applications,�?? Phys. Rep. 370, 63 (2002). [CrossRef]
13. See the Feature Section on Cavity Solitons in IEEE Journal of Quant. Electron. 39, N°2 (2003).
14. N. N. Rosanov, �??Solitons in laser systems with absorption,�?? in �??Dissipative solitons,�?? N. Akhmediev and A. Ankiewicz eds., (Springer-Verlag, Berlin 2005).
15. S. Barland, J. Tredicce, M. Brambilla, L. Lugiato, S. Balle, M. Giudici, T. Maggipinto, L. Spinelli, G. Tissono, T. Knödl, M. Miller, and R. Jäger, �??Cavity solitons as pixels in semiconductor microcavities,�?? Nature 419, 699 (2002). [CrossRef]
16. N. Akhmediev and A. Ankiewicz, eds. �??Dissipative solitons,�?? (Springer-Verlag, Berlin 2005).
17. E. Ultanir, G. Stegeman, Ch. Lange, and F. Lederer, �??Coherent, dissipative spatial soliton interactions in semiconductor optical amplifiers,�?? Opt. Lett. 29, 283 (2004). [CrossRef]
18. L.-C. Crasovan, B. A. Malomed, and D. Mihalache, �??Erupting, flat-top, and composite spiral solitons in the two-dimensional Ginzburg-Landau equation,�?? Phys. Lett. A 289, 59 (2001). [CrossRef]
19. N. N. Rosanov, �??Spatial Hysteresis and Optical Patterns,�?? (Springer, Berlin Heidelberg, 2002) section 6.6 and references therein).
20. W. Firth and A. Scroggie, �??Optical bullet holes: robust controllable states of a nonlinear cavity,�?? Phys. Rev. Lett. 76, 1623 (1996). [CrossRef]
21. M. Porras, A. Parola, D. Faccio, A. Dubietis, and P. Di Trapani, �??Nonlinear unbalanced Bessel beams: stationary conical waves supported by nonlinear losses,�?? Phys. Rev. Lett. 93, 153902 (2004). [CrossRef]
22. N. N. Akhmediev and A. Ankiewicz, �??Solitons: nonlinear pulses and beams,�?? (Chapman & Hall, London, 1997).

Author Affiliations

Jose Soto-Crespo

Instituto de Optica

Philippe Grelu

Laboratoire de Physique de l�??Université de Bourgogne

Nail Akhmediev

The Australian National University

Multimedia

Multimedia Files	Recommended Software
» Media 1: MOV (301 KB)
» Media 2: MOV (470 KB)
» Media 3: MOV (356 KB)

Cited By

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.

Select a Journal:
Optics Express Optics InfoBase Google Scholar

Search by title, abstract, or author

Advanced Search

Recent ToC Categories (Beta)

Select a Journal:
J. Opt. Soc. Am. AJ. Opt. Soc. Am. BApplied OpticsOptics LettersOptics ExpressAdv. Opt. Photon.J. Opt. Netw. (2002-2009)J. Opt. Soc. Am. (1917-1983)Virtual J. Biomed. Opt.Optics & Photonics NewsOptics News (1975-1989)J. Opt. Commun. Netw.J. Lightwave Technol.J. Opt. Technol.J. Display Technol.Chinese Optics LettersApplied SpectroscopyJ. Opt. Soc. Korea

Vol

Issue

Page

• Jan 14 2010 : OSA wins SPARC Innovator award for Optics Express. Read the press release.
• Jan 14 2010 : The Journal of the Optical Society of Korea is now available in the Optics InfoBase!
• Jan 08 2010 : Optics InfoBase now supports export to Mendeley. Learn more about Mendeley for online citation management and sharing.

More News

• Journal of the Optical Society of Korea Added to OSA’s Optics InfoBase
  Feb 1, 2010 - The Optical Society (OSA) is pleased to announce that Optics... more
• OSA to Launch New Journal: Biomedical Optics Express
  Jan 20, 2010 - The Optical Society (OSA) today announced it is launching a new... more
• Invisibility Visualized
  Nov 12, 2009 - Scientists and curiosity seekers who want to know what a partially or... more