OSA's Digital Library

Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 19, Iss. 23 — Nov. 7, 2011
  • pp: 23132–23139

Causality effects on accelerating light pulses

Ido Kaminer, Yaakov Lumer, Mordechai Segev, and Demetrios N. Christodoulides  »View Author Affiliations

Optics Express, Vol. 19, Issue 23, pp. 23132-23139 (2011)

View Full Text Article

Enhanced HTML    Acrobat PDF (906 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



We study accelerating and decelerating shape-preserving temporal Airy wave-packets propagating in dispersive media. We explore the effects of causality, and find that, whereas decelerating pulses can asymptotically reach zero group velocity, pulses that accelerate towards infinite group velocity inevitably break up, after a specific critical point. The trajectories and the features of causal pulses are analyzed, along with the requirements for the existence of the critical point and experimental schemes for its observation. Finally, we show that causality imposes similar effects on accelerating pulses in the presence of local Kerr-like nonlinearities.

© 2011 OSA

OCIS Codes
(190.0190) Nonlinear optics : Nonlinear optics
(320.5550) Ultrafast optics : Pulses

ToC Category:
Nonlinear Optics

Original Manuscript: September 2, 2011
Revised Manuscript: October 11, 2011
Manuscript Accepted: October 12, 2011
Published: October 31, 2011

Ido Kaminer, Yaakov Lumer, Mordechai Segev, and Demetrios N. Christodoulides, "Causality effects on accelerating light pulses," Opt. Express 19, 23132-23139 (2011)

Sort:  Author  |  Year  |  Journal  |  Reset  


  1. M. V. Berry and N. L. Balazs, “Nonspreading wave packets,” Am. J. Phys. 47(3), 264–267 (1979). [CrossRef]
  2. G. A. Siviloglou and D. N. Christodoulides, “Accelerating finite energy Airy beams,” Opt. Lett. 32(8), 979–981 (2007). [CrossRef] [PubMed]
  3. G. A. Siviloglou, J. Broky, A. Dogariu, and D. N. Christodoulides, “Observation of accelerating Airy beams,” Phys. Rev. Lett. 99(21), 213901 (2007). [CrossRef] [PubMed]
  4. P. Saari, “Laterally accelerating airy pulses,” Opt. Express 16(14), 10303–10308 (2008). [CrossRef] [PubMed]
  5. I. M. Besieris and A. M. Shaarawi, “Accelerating Airy wave packets in the presence of quadratic and cubic dispersion,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 78(4), 046605 (2008). [CrossRef] [PubMed]
  6. K.-Y. Kim, C.-Y. Hwang, and B. Lee, “Slow non-dispersing wavepackets,” Opt. Express 19(3), 2286–2293 (2011). [CrossRef] [PubMed]
  7. A. Chong, W. H. Renninger, D. N. Christodoulides, and F. W. Wise, “Airy-Bessel wave packets as versatile linear light bullets,” Nat. Photonics 4(2), 103–106 (2010). [CrossRef]
  8. D. Abdollahpour, S. Suntsov, D. G. Papazoglou, and S. Tzortzakis, “Spatiotemporal airy light bullets in the linear and nonlinear regimes,” Phys. Rev. Lett. 105(25), 253901 (2010). [CrossRef] [PubMed]
  9. R. Y. Chiao and P. W. Milonni, “Fast Light, Slow Light,” Opt. Photonics News 13(6), 26–30 (2002). [CrossRef]
  10. I. Kaminer, M. Segev, and D. N. Christodoulides, “Self-accelerating self-trapped optical beams,” Phys. Rev. Lett. 106(21), 213903 (2011). [CrossRef] [PubMed]
  11. Y. Fattal, A. Rudnick, and D. M. Marom, “Soliton shedding from Airy pulses in Kerr media,” Opt. Express 19(18), 17298–17307 (2011). [CrossRef] [PubMed]
  12. G. P. Agrawal, Nonlinear Fiber Optics, Optics and Photonics (Academic Press, London, 2001).
  13. E. Greenfield, M. Segev, W. Walasik, and O. Raz, “Accelerating light beams along arbitrary convex trajectories,” Phys. Rev. Lett. 106(21), 213902 (2011). [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.


Fig. 1 Fig. 2

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited