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Optics Letters

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  • Editor: Alan E. Willner
  • Vol. 37, Iss. 3 — Feb. 1, 2012
  • pp: 389–391

Stationary one-dimensional dispersive shock waves

Yaroslav V. Kartashov and Anatoly M. Kamchatnov  »View Author Affiliations


Optics Letters, Vol. 37, Issue 3, pp. 389-391 (2012)
http://dx.doi.org/10.1364/OL.37.000389


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Abstract

We address shock waves generated upon the interaction of tilted plane waves with negative refractive index defects in defocusing media with linear gain and two-photon absorption. We found that, in contrast to conservative media where one-dimensional dispersive shock waves usually exist only as nonstationary objects expanding away from a defect or generating beam, the competition between gain and two-photon absorption in a dissipative medium results in the formation of localized stationary dispersive shock waves, whose transverse extent may considerably exceed that of the refractive index defect. One-dimensional dispersive shock waves are stable if the defect strength does not exceed a certain critical value.

© 2012 Optical Society of America

OCIS Codes
(190.5940) Nonlinear optics : Self-action effects
(190.6135) Nonlinear optics : Spatial solitons

ToC Category:
Nonlinear Optics

History
Original Manuscript: October 12, 2011
Revised Manuscript: November 20, 2011
Manuscript Accepted: December 1, 2011
Published: January 30, 2012

Citation
Yaroslav V. Kartashov and Anatoly M. Kamchatnov, "Stationary one-dimensional dispersive shock waves," Opt. Lett. 37, 389-391 (2012)
http://www.opticsinfobase.org/ol/abstract.cfm?URI=ol-37-3-389


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References

  1. W. J. Tomlinson, R. H. Stolen, and A. M. Johnson, Opt. Lett. 10, 457 (1985). [CrossRef]
  2. J. E. Rothenberg and D. Grischkowsky, Phys. Rev. Lett. 62, 531 (1989). [CrossRef]
  3. G. P. Agrawal and C. Headley, Phys. Rev. A 46, 1573 (1992). [CrossRef]
  4. D. Anderson, M. Desaix, M. Lisak, and M. L. Quiroga-Teixeiro, J. Opt. Soc. Am. B 9, 1358 (1992). [CrossRef]
  5. W. Wan, S. Jia, and J. W. Fleischer, Nat. Phys. 3, 46 (2007). [CrossRef]
  6. A. M. Kamchatnov, R. A. Kraenkel, and B. A. Umarov, Phys. Rev. E 66, 036609 (2002). [CrossRef]
  7. C. Conti, A. Fratalocchi, M. Peccianti, G. Ruocco, and S. Trillo, Phys. Rev. Lett. 102, 083902 (2009). [CrossRef]
  8. S. Malaguti, A. Corli, and S. Trillo, Opt. Lett. 35, 4217(2010). [CrossRef]
  9. N. Ghofraniha, C. Conti, G. Ruocco, and S. Trillo, Phys. Rev. Lett. 99, 043903 (2007). [CrossRef]
  10. C. Barsi, W. Wan, C. Sun, and J. W. Fleischer, Opt. Lett. 32, 2930 (2007). [CrossRef]
  11. A. M. Leszczyszyn, G. A. El, Y. G. Gladush, and A. M. Kamchatnov, Phys. Rev. A 79, 063608 (2009). [CrossRef]
  12. W. Wan, S. Muenzel, and J. W. Fleischer, Phys. Rev. Lett. 104, 073903 (2010). [CrossRef]
  13. M. A. Hoefer, M. J. Ablowitz, I. Coddington, E. A. Cornell, P. Engels, and V. Schweikhard, Phys. Rev. A 74, 023623 (2006). [CrossRef]
  14. P. Engels and C. Atherton, Phys. Rev. Lett. 99, 160405 (2007). [CrossRef]
  15. G. A. El, A. M. Kamchatnov, V. V. Khodorovskii, E. S. Annibale, and A. Gammal, Phys. Rev. E 80, 043317 (2009). [CrossRef]
  16. M. A. Hoefer and B. Ilan, arXiv: 1105.3702 [nlin.PS] (2011).
  17. O. Katz, Y. Lahini, and Y. Silberberg, Opt. Lett. 33, 2830 (2008). [CrossRef]
  18. M. J. Connelly, Semiconductor Optical Amplifiers (Springer, 2002).
  19. T. B. Benjamin and M. J. Lighthill, Proc. R. Soc. A 224, 448 (1954). [CrossRef]
  20. R. S. Johnson, J. Fluid Mech. 42, 49 (1970). [CrossRef]
  21. R. S. Johnson, Phys. Fluids 15, 1693 (1972). [CrossRef]
  22. A. M. Kamchatnov, Physica D 188, 247 (2004). [CrossRef]

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