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Journal of the Optical Society of America B

Journal of the Optical Society of America B

| OPTICAL PHYSICS

  • Vol. 15, Iss. 11 — Nov. 1, 1998
  • pp: 2738–2741

Raman blueshift of optical dark solitons

Xiang-Jun Chen and Zhi-De Chen  »View Author Affiliations


JOSA B, Vol. 15, Issue 11, pp. 2738-2741 (1998)
http://dx.doi.org/10.1364/JOSAB.15.002738


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Abstract

A novel direct perturbation approach to the self-induced Raman effect on dark optical solitons is discussed. The seeming breakdown of the adiabatic assumption found previously is overcome. A complete adiabatic solution is given, confirming previous numerical and analytical results for the Raman blueshift on a more rigorous basis.

© 1998 Optical Society of America

OCIS Codes
(060.5530) Fiber optics and optical communications : Pulse propagation and temporal solitons
(190.5650) Nonlinear optics : Raman effect

Citation
Xiang-Jun Chen and Zhi-De Chen, "Raman blueshift of optical dark solitons," J. Opt. Soc. Am. B 15, 2738-2741 (1998)
http://www.opticsinfobase.org/josab/abstract.cfm?URI=josab-15-11-2738


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References

  1. Y. S. Kivshar and B. A. Malomed, “Dynamics of solitons in nearly integrable systems,” Rev. Mod. Phys. 61, 763–915 (1989). [CrossRef]
  2. J. P. Keener and D. W. McLaughlin, “Solitons under perturbation,” Phys. Rev. A 16, 777–790 (1977). [CrossRef]
  3. J. P. Gordon, “Theory of the soliton self-frequency shift,” Opt. Lett. 11, 662–664 (1986). [CrossRef] [PubMed]
  4. F. M. Mitschke and L. F. Mollenauer, “Discovery of the soliton self-frequency shift,” Opt. Lett. 11, 659–661 (1986). [CrossRef] [PubMed]
  5. A. M. Weiner, R. N. Thurston, W. J. Tomlinson, J. P. Heritage, D. E. Leaird, E. M. Kirschner, and R. J. Hawkins, “Temporal and spectral self-shifts of dark optical solitons,” Opt. Lett. 14, 868–870 (1989). [CrossRef] [PubMed]
  6. W. Zhao and E. Bourkoff, “Generation, propagation, and amplification of dark solitons,” J. Opt. Soc. Am. B 9, 1134–1144 (1992). [CrossRef]
  7. Y. S. Kivshar, “Perturbation-induced dynamics of small-amplitude dark optical solitons,” Opt. Lett. 15, 1273–1275 (1990). [CrossRef] [PubMed]
  8. I. M. Uzunov and V. S. Gerdjikov, “Self-frequency shift of dark solitons in optical fibers,” Phys. Rev. A 47, 1582–1585 (1993). [CrossRef] [PubMed]
  9. Y. S. Kivshar and X. Yang, “Perturbation-induced dynamics of dark solitons,” Phys. Rev. E 49, 1657–1670 (1994). [CrossRef]
  10. H. Ikeda, M. M. Matsumoto, and A. Hasegawa, “Transmission control of dark solitons by means of nonlinear gain,” Opt. Lett. 20, 1113–1115 (1995). [CrossRef] [PubMed]
  11. S. Burtsev and R. Camassa, “Nonadiabatic dynamics of dark solitons,” J. Opt. Soc. Am. B 14, 1782–1787 (1997). [CrossRef]
  12. Y. S. Kivshar and B. L. Davies, “Optical dark solitons: physics and applications,” Phys. Rep. 298, 81–197 (1997). [CrossRef]
  13. V. V. Konotop and V. E. Vekslerchik, “Direct perturbation theory for dark solitons,” Phys. Rev. E 49, 2397–2407 (1994). [CrossRef]
  14. X. J. Chen, Z. D. Chen, and N. N. Huang, “A direct perturbation theory for dark solitons based on a complete set of the squared Jost solutions,” J. Phys. A 31, 6929–6947 (1998). [CrossRef]
  15. L. D. Faddeev and L. A. Takhtajan, Hamiltonian Methods in the Theory of Solitons (Springer-Verlag, Berlin, 1987).
  16. D. E. Pelinovsky, Y. S. Kivshar, and V. V. Afanasjev, “Instability-induced dynamics of dark solitons,” Phys. Rev. E 54, 2015–2032 (1996). [CrossRef]
  17. D. J. Kaup and A. C. Newell, “Solitons as particles, oscillators, and in slowly changing media: a singular perturbation theory,” Proc. R. Soc. London, Ser. A 361, 413–446 (1978). [CrossRef]
  18. V. I. Karpman, “Soliton evolution in the presence of perturbation,” Phys. Scr. 20, 462–478 (1979). [CrossRef]

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