OSA's Digital Library

Optics Letters

Optics Letters

| RAPID, SHORT PUBLICATIONS ON THE LATEST IN OPTICAL DISCOVERIES

  • Editor: Anthony J. Campillo
  • Vol. 32, Iss. 12 — Jun. 15, 2007
  • pp: 1659–1661

Optical similaritons in nonlinear waveguides

Sergey A. Ponomarenko and Govind P. Agrawal  »View Author Affiliations


Optics Letters, Vol. 32, Issue 12, pp. 1659-1661 (2007)
http://dx.doi.org/10.1364/OL.32.001659


View Full Text Article

Enhanced HTML    Acrobat PDF (130 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

We discover analytically an extensive family of optical similaritons, propagating inside graded-index nonlinear waveguide amplifiers. We show that there exists a one-to-one correspondence between these novel similaritons and standard solitons of the homogeneous nonlinear Schrödinger equation. We demonstrate that for certain inhomogeneity and gain profiles, the newly discovered similaritons turn into solitons over sufficiently long propagation distances.

© 2007 Optical Society of America

OCIS Codes
(060.4370) Fiber optics and optical communications : Nonlinear optics, fibers
(190.3270) Nonlinear optics : Kerr effect
(190.4420) Nonlinear optics : Nonlinear optics, transverse effects in
(260.5950) Physical optics : Self-focusing

ToC Category:
Nonlinear Optics

History
Original Manuscript: March 7, 2007
Revised Manuscript: April 6, 2007
Manuscript Accepted: April 14, 2007
Published: June 5, 2007

Citation
Sergey A. Ponomarenko and Govind P. Agrawal, "Optical similaritons in nonlinear waveguides," Opt. Lett. 32, 1659-1661 (2007)
http://www.opticsinfobase.org/ol/abstract.cfm?URI=ol-32-12-1659


Sort:  Author  |  Year  |  Journal  |  Reset  

References

  1. G. P. Agrawal, Nonlinear Fiber Optics, 4th ed. (Academic, 2007).
  2. Y. S. Kivshar and G. P. Agrawal, Optical Solitons: from Fibers to Photonic Crystals (Academic, 2003).
  3. H.-H. Chen and C.-S. Liu, Phys. Rev. Lett. 37, 693 (1976). [CrossRef]
  4. R. Balakrishnan, Phys. Rev. A 32, 1144 (1985). [CrossRef] [PubMed]
  5. V. N. Serkin, A. Hasegawa, and T. L. Belyaeva, Phys. Rev. Lett. 98, 074102 (2007). [CrossRef] [PubMed]
  6. V. N. Serkin and A. Hasegawa, IEEE J. Sel. Top. Quantum Electron. 8, 418 (2002). [CrossRef]
  7. V. I. Kruglov, A. C. Peacock, J. M. Dudley, and J. D. Harvey, Opt. Lett. 25, 1753 (2000). [CrossRef]
  8. D. Anderson, M. Desaix, M. Karlsson, M. Lisak, and M. L. Quiroga-Teixeiro, J. Opt. Soc. Am. B 10, 1185 (1993). [CrossRef]
  9. M. E. Fermann, V. I. Kruglov, B. C. Thomsen, J. D. Dudley, and J. D. Harvey, Phys. Rev. Lett. 84, 6010 (2000). [CrossRef] [PubMed]
  10. C. Finot and G. Millot, Opt. Express 13, 7653 (2005). [CrossRef] [PubMed]
  11. J. D. Moores, Opt. Lett. 21, 555 (1996). [CrossRef] [PubMed]
  12. V. I. Kruglov, A. C. Peacock, and J. D. Harvey, Phys. Rev. Lett. 90, 113902 (2003). [CrossRef] [PubMed]
  13. V. I. Kruglov, A. C. Peacock, and J. D. Harvey, Phys. Rev. E 71, 056619 (2005). [CrossRef]
  14. V. I. Kruglov and J. D. Harvey, J. Opt. Soc. Am. B 23, 2541 (2006). [CrossRef]
  15. S. A. Ponomarenko and G. P. Agrawal, Opt. Express 15, 2963 (2007). [CrossRef] [PubMed]
  16. S. A. Ponomarenko and G. P. Agrawal, Phys. Rev. Lett. 97, 013901 (2006). [CrossRef] [PubMed]
  17. V. E. Zakharov and A. B. Shabat, Sov. Phys. JETP 34, 62 (1972).
  18. Yu. S. Kivshar and B. Luther-Davies, Phys. Rep. 298, 81 (1998). [CrossRef]
  19. G. L. Lamb, Elements of Soliton Theory (Wiley, 1980).
  20. P. V. Mamyshev, C. Bosshard, and G. I. Stegeman, J. Opt. Soc. Am. B 11, 1254 (1994). [CrossRef]

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.

Figures

Fig. 1 Fig. 2 Fig. 3
 
Fig. 4
 

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited