OSA's Digital Library

Optics Letters

Optics Letters

| RAPID, SHORT PUBLICATIONS ON THE LATEST IN OPTICAL DISCOVERIES

  • Editor: Anthony J. Campillo
  • Vol. 30, Iss. 19 — Oct. 1, 2005
  • pp: 2548–2550

Statistical description of short pulses in long optical fibers: effects of nonlocality

Padma K. Shukla and Mattias Marklund  »View Author Affiliations


Optics Letters, Vol. 30, Issue 19, pp. 2548-2550 (2005)
http://dx.doi.org/10.1364/OL.30.002548


View Full Text Article

Acrobat PDF (75 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

We present a statistical description of the propagation of short pulses in long optical fibers, taking into account the Kerr and nonlocal nonlinearities on an equal footing. We use the Wigner approach on the modified nonlinear Schrödinger equation to obtain a wave kinetic equation and a nonlinear dispersion relation. The latter shows that the optical pulse decoherence reduces the growth rate of the modulational instability and thereby contributes to the nonlinear stability of the pulses in long optical fibers. It is also found that the interaction between spectral broadening and nonlocality tends to extend the instability region.

© 2005 Optical Society of America

OCIS Codes
(030.1640) Coherence and statistical optics : Coherence
(060.2310) Fiber optics and optical communications : Fiber optics
(060.4370) Fiber optics and optical communications : Nonlinear optics, fibers
(190.7110) Nonlinear optics : Ultrafast nonlinear optics

ToC Category:
Fiber Optics and Optical Communications

Citation
Padma K. Shukla and Mattias Marklund, "Statistical description of short pulses in long optical fibers: effects of nonlocality," Opt. Lett. 30, 2548-2550 (2005)
http://www.opticsinfobase.org/ol/abstract.cfm?URI=ol-30-19-2548


Sort:  Author  |  Year  |  Journal  |  Reset

References

  1. A. Hasegawa and T. Tappert, Appl. Phys. Lett. 23, 142 (1973). [CrossRef]
  2. A. Hasegawa and T. Tappert, Appl. Phys. Lett. 23, 171 (1973). [CrossRef]
  3. Yu. Kivshar and G. P. Agrawal, Optical Solitons, From Fibers to Photonic Crystals (Academic, 2003).
  4. A. Hasegawa, Phys. Plasmas 8, 1763 (2001). [CrossRef]
  5. C. C. Jeng, M. F. Shih, K. Motzek, and Y. S. Kivshar, Phys. Rev. Lett. 92, 043904 (2004). [CrossRef]
  6. T. S. Ku, M. F. Shih, A. A. Sukhorukov, and Y. S. Kivshar, Phys. Rev. Lett. 94, 063904 (2005). [CrossRef]
  7. E. Wigner, Phys. Rev. 40, 749 (1932). [CrossRef]
  8. J. T. Mendonça and N. L. Tsintsadze, Phys. Rev. E 62, 4276 (2000). [CrossRef]
  9. R. Fedele and D. Anderson, J. Opt. B: Quantum Semiclassical Opt. 2, 207 (2000). [CrossRef]
  10. B. Hall, M. Lisak, D. Anderson, R. Fedele, and V. E. Semenov, Phys. Rev. E 65, 035602(R) (2002). [CrossRef]
  11. L. Helczynski, M. Lisak, and D. Anderson, Phys. Rev. E 67, 026602 (2003). [CrossRef]
  12. D. Anderson, L. Helczynski-Wolf, M. Lisak, and V. Semenov, Phys. Rev. E 69, 025601 (2004). [CrossRef]
  13. D. Anderson, L. Helczynski-Wolf, M. Lisak, and V. Semenov, Phys. Rev. E 70, 026603 (2004). [CrossRef]
  14. B. Hall, M. Lisak, D. Anderson, and V. E. Semenov, Phys. Rev. A 321, 255 (2004).
  15. Y. Kodama and A. Hasegawa, IEEE J. Quantum Electron. 23, 510 (1987). [CrossRef]
  16. A. Hasegawa and Y. Kodama, Solitons and Optical Communications (Oxford U. Press, 1995).
  17. P. K. Shukla and J. J. Rasmussen, Opt. Lett. 11, 171 (1986).
  18. J. T. Mendonça, Theory of Photon Acceleration (IOP Publishing, 2001).
  19. I. M. Besieris and F. D. Tappert, J. Math. Phys. 17, 734 (1976). [CrossRef]
  20. R. Loudon, The Quantum Theory of Light (Oxford U. Press, 2000).
  21. D. Anderson, B. Hall, M. Lisak, and M. Marklund, Phys. Rev. E 65, 046417 (2002). [CrossRef]
  22. G. P. Agrawal, Nonlinear Fiber Optics (Academic, 2001).

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.


« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited