Laser Physics

, Volume 17, Issue 4, pp 297–301 | Cite as

Ultralocalized superluminal light pulses

  • P. Saari
  • K. Reivelt
  • H. Valtna
Modern Trends in Laser Physics

Abstract

We consider a sophisticated localized light wave—the so-called focused X wave which possesses a strong exponential localization in its waist region and propagates faster than the speed of light in a vacuum or in a linear medium. We show how this wave—until now considered in the literature as a mathematical object only—could be generated in reality by making use of cylindrical diffraction gratings.

PACS numbers

42.25.Bs 42.15.Eq 42.65.Re 42.25.Kb 

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References

  1. 1.
    K. Reivelt and P. Saari, physics/0309079 (2003); http://arxiv.org/abs/physics/0309079.
  2. 2.
    I. Besieris, M. Abdel-Rahman, A. Shaarawi, and A. Chatzipetros, Prog. Electromagn. Res. 19, 1 (1998).CrossRefGoogle Scholar
  3. 3.
    J. Salo, J. Fagerholm, A. T. Friberg, and M. M. Salomaa, Phys. Rev. E 62, 4261 (2002).CrossRefADSGoogle Scholar
  4. 4.
    A. P. Kiselev, J. Phys. A: Math. Gen. 36, L345 (2003).MATHCrossRefADSMathSciNetGoogle Scholar
  5. 5.
    E. Recami, M. Zamboni-Rached, K. Z. Nóbrega, et al., IEEE J. Sel. Top. Quantum Electron. 9, 59 (2003).CrossRefGoogle Scholar
  6. 6.
    P. Saari and K. Reivelt, Phys. Rev. E 69, 036612 (2004).Google Scholar
  7. 7.
    H. Sõnajalg and P. Saari, Opt. Lett. 21, 1162 (1996).ADSCrossRefGoogle Scholar
  8. 8.
    H. Sõnajalg, M. Rätsep, and P. Saari, Opt. Lett. 22, 310 (1997).ADSGoogle Scholar
  9. 9.
    P. Di Trapani, G. Valiulis, A. Piskarskas, et al., Phys. Rev. Lett. 91, 093904 (2003).Google Scholar
  10. 10.
    R. Butkus, S. Orlov, A. Piskarskas, et al., Opt. Comm. 244, 411 (2005).CrossRefADSGoogle Scholar
  11. 11.
    J. N. Brittingham, J. Appl. Phys. 54, 1179 (1983).CrossRefADSGoogle Scholar
  12. 12.
    P. Saari and H. Sõnajalg, Laser Phys. 7, 32 (1997).Google Scholar
  13. 13.
    P. Saari and K. Reivelt, Phys. Rev. Lett. 79, 4135 (1997).CrossRefADSGoogle Scholar
  14. 14.
    I. Alexeev, K. Y. Kim, and H. M. Milchberg, Phys. Rev. Lett. 88, 073901 (2002).Google Scholar
  15. 15.
    R. Grunwald, V. Kebbel, U. Griebner, et al., Phys. Rev. A 67, 063820 (2003).Google Scholar
  16. 16.
    K. Reivelt and P. Saari, J. Opt. Soc. Am. A 17, 1785 (2000).ADSMathSciNetGoogle Scholar
  17. 17.
    K. Reivelt and P. Saari, Phys. Rev. E 65, 046622 (2002).Google Scholar
  18. 18.
    K. Reivelt and P. Saari, Opt. Lett. 29, 1176 (2004).CrossRefADSGoogle Scholar
  19. 19.
    K. Reivelt and P. Saari, Phys. Rev. E 66, 056611 (2002).Google Scholar
  20. 20.
    J. Salo and M. M. Salomaa, J. of Opt. A: Pure. Appl. Opt. 3, 366 (2001).CrossRefADSGoogle Scholar
  21. 21.
    P. Saari, M. Menert, and H. Valtna, Opt. Commun. 246, 445 (2005).CrossRefADSGoogle Scholar
  22. 22.
    P. Saari, in Ultrafast Photonics (Inst. of Phys. Publ., Bristol, 2004), pp. 317–340.Google Scholar
  23. 23.
    H. Valtna, K. Reivelt, and P. Saari, J. Opt. A: Pure Appl. Opt. 8, 118 (2006).CrossRefADSGoogle Scholar

Copyright information

© MAIK “Nauka/Interperiodica” 2007

Authors and Affiliations

  • P. Saari
    • 1
  • K. Reivelt
    • 1
  • H. Valtna
    • 1
  1. 1.Institute of PhysicsUniversity of TartuTartuEstonia

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