OSA's Digital Library

Optics Letters

Optics Letters

| RAPID, SHORT PUBLICATIONS ON THE LATEST IN OPTICAL DISCOVERIES

  • Editor: Anthony J. Campillo
  • Vol. 31, Iss. 10 — May. 15, 2006
  • pp: 1507–1509

Counterpropagating spatial Kerr soliton in reflection gratings

Alessandro Ciattoni, Carlo Rizza, Eugenio DelRe, and Elia Palange  »View Author Affiliations


Optics Letters, Vol. 31, Issue 10, pp. 1507-1509 (2006)
http://dx.doi.org/10.1364/OL.31.001507


View Full Text Article

Enhanced HTML    Acrobat PDF (72 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

We analytically predict the existence of both spatial bright and dark counterpropagating solitons in a reflection grating in the presence of the Kerr nonlinearity. The basic trapping mechanism consists of a twofold balance where diffraction is compensated by self-focusing and reflection is altered by the nonlinear-induced interferometric grating. We find that, whenever the spectral soliton profile lies within the grating stop band, bright and dark solitons exist only if the mutual phase of the counterpropagating solitons is π or 0, respectively.

© 2006 Optical Society of America

OCIS Codes
(050.2770) Diffraction and gratings : Gratings
(190.3270) Nonlinear optics : Kerr effect

ToC Category:
Nonlinear Optics

History
Original Manuscript: December 22, 2005
Revised Manuscript: February 14, 2006
Manuscript Accepted: February 20, 2005

Citation
Alessandro Ciattoni, Carlo Rizza, Eugenio DelRe, and Elia Palange, "Counterpropagating spatial Kerr soliton in reflection gratings," Opt. Lett. 31, 1507-1509 (2006)
http://www.opticsinfobase.org/ol/abstract.cfm?URI=ol-31-10-1507


Sort:  Author  |  Year  |  Journal  |  Reset  

References

  1. W. Chen and D. L. Mills, Phys. Rev. Lett. 58, 160 (1987). [CrossRef] [PubMed]
  2. S. Trillo and W. Torruellas, Spatial Solitons (Springer, 2001).
  3. D. N. Christodoulides, F. Lederer, and Y. Silberberg, Nature 424, 817 (2003). [CrossRef] [PubMed]
  4. R. Morandotti, H. S. Eisenberg, Y. Silberberg, M. Sorel, and J. S. Aitchison, Phys. Rev. Lett. 86, 3296 (2001). [CrossRef] [PubMed]
  5. J. W. Fleischer, T. Carmon, M. Segev, N. K. Efremidis, and D. N. Christodoulides, Phys. Rev. Lett. 90, 23902 (2003). [CrossRef]
  6. J. W. Fleischer, M. Segev, N. K. Efremidis, D. N. Christodoulides, Nature 422, 147 (2003). [CrossRef] [PubMed]
  7. O. Cohen, T. Carmon, M. Segev, and S. Odoulov, Opt. Lett. 15, 2031 (2002). [CrossRef]
  8. J. Feng, Opt. Lett. 18, 1302 (1993). [CrossRef] [PubMed]
  9. B. J. Eggleton, R. E. Slusher, C. M. de Sterke, P. A. Krug, and J. E. Sipe, Phys. Rev. Lett. 76, 1627 (1996). [CrossRef] [PubMed]
  10. O. Cohen, R. Uzdin, T. Carmon, J. W. Flescher, M. Segev, and S. Odoulov, Phys. Rev. Lett. 89, 1339001 (2002).
  11. Note that, for η=0, symmetric gap solitons in a transmission grating have the same amplitude profiles as in Eqs. .
  12. D. Mandelik, R. Morandotti, J. S. Aitchison, and Y. Silberberg, Phys. Rev. Lett. 92, 93904 (2004). [CrossRef]
  13. M. Haelterman, A. P. Sheppard, and A. W. Snyder, Opt. Commun. 103, 145 (1993). [CrossRef]
  14. O. Cohen, S. Lan, T. Carmon, J. A. Giordmaine, and M. Segev, Opt. Lett. 27, 2013 (2002). [CrossRef]
  15. D. Jovic, M. Petrovic, M. Belic, J. Schröeder, Ph. Jander, and C. Denz, Opt. Express 13, 10717 (2005). [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.

Figures

Fig. 1
 

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited