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Optics Letters

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  • Editor: Anthony J. Campillo
  • Vol. 31, Iss. 12 — Jun. 15, 2006
  • pp: 1806–1808

Lévy statistics of emission from a novel random amplifying medium: an optical realization of the Arrhenius cascade

Divya Sharma, Hema Ramachandran, and N. Kumar  »View Author Affiliations


Optics Letters, Vol. 31, Issue 12, pp. 1806-1808 (2006)
http://dx.doi.org/10.1364/OL.31.001806


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Abstract

We report the observation of Lévy-like statistical configuration-to-configuration fluctuations in the intensity of emission from a novel system, the fiber-random amplifying medium, where active fiber segments are embedded randomly in a bulk of pointlike passive scatterers. Some rare configurations of fibers provide long, guided amplifying paths for the photons, leading to high jumps in the intensity, and thus to Lévy statistics. This system provides an optical realization of the Arrhenius cascade.

© 2006 Optical Society of America

OCIS Codes
(000.5490) General : Probability theory, stochastic processes, and statistics
(290.4210) Scattering : Multiple scattering
(290.5850) Scattering : Scattering, particles

ToC Category:
Scattering

History
Original Manuscript: January 25, 2006
Revised Manuscript: March 15, 2006
Manuscript Accepted: March 15, 2006

Citation
Divya Sharma, Hema Ramachandran, and N. Kumar, "Lévy statistics of emission from a novel random amplifying medium: an optical realization of the Arrhenius cascade," Opt. Lett. 31, 1806-1808 (2006)
http://www.opticsinfobase.org/ol/abstract.cfm?URI=ol-31-12-1806


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References

  1. D. Sharma, H. Ramachandran, and N. Kumar, Fluct. Noise Lett. 6, L95 (2006). [CrossRef]
  2. V. S. Letokhov, Sov. Phys. JETP 26, 835 (1968).
  3. N. M. Lawandy, R. M. Balachandran, A. S. L. Gomes, and E. Souvain, Nature 368, 436 (1994). [CrossRef]
  4. D. S. Wiersma and A. Lagendijk, Phys. Rev. E 54, 4256 (1996). [CrossRef]
  5. S. John and G. Pang, Phys. Rev. A 54, 3642 (1996). [CrossRef] [PubMed]
  6. B. R. Prasad, H. Ramachandran, A. K. Sood, C. K. Subramanian, and N. Kumar, Appl. Opt. 36, 7718 (1997). [CrossRef]
  7. See, e.g., P. A. Mello and N. Kumar, Quantum Transport in Mesoscopic Systems: Complexity and Statistical Fluctuations (Oxford U. Press, 2004), for the idea of non-self-averaging.
  8. M.F.Shlesinger, G.M.Zaslavsky, and U.Frisch, eds., Lévy Flights and Related Topics in Physics, Vol. 450 of Lecture Notes in Physics (Springer-Verlag, 1995). [CrossRef]
  9. M. F. Shlesinger, G. M. Zaslavsky, and J. Klafter, Nature 363, 31 (1993). [CrossRef]
  10. A. Ott, J. P. Bouchaud, D. Langevin, and W. Urbach, Phys. Rev. Lett. 652201 (1990). [CrossRef] [PubMed]
  11. F. Bardou, J. P. Bouchaud, O. Emile, A. Aspect, and C. Cohen-Tannoudji, Phys. Rev. Lett. 72, 203 (1994). [CrossRef] [PubMed]
  12. T. H. Solomon, E. R. Weeks, and H. L. Swinney, Phys. Rev. Lett. 71, 3975 (1993). [CrossRef] [PubMed]
  13. S. Boldyrev and C. R. GwinnPhys. Rev. Lett. 91, 131101 (2003). [CrossRef] [PubMed]
  14. F. Bardou, ''Cooling gases with Lévy fights: using the generalized central limit theorem in physics,'' v1, December 20, 2000.
  15. M. I. Tribelsky, ''Tails of probability density for sums of random independent variables,'' v2, June 25, 2001.
  16. C. Kittel, in Introduction to Solid State Physics (Wiley, 1996), pp. 141-172.
  17. Increasing pumping/gain implies reduced lg.
  18. I includes unamplified spontaneous emission Io, which must be subtracted.

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