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Journal of the Optical Society of America B

Journal of the Optical Society of America B

| OPTICAL PHYSICS

  • Vol. 16, Iss. 6 — Jun. 1, 1999
  • pp: 889–894

Dispersion-managed solitons as nonlinear Bloch waves

Hermann A. Haus and Yijiang Chen  »View Author Affiliations


JOSA B, Vol. 16, Issue 6, pp. 889-894 (1999)
http://dx.doi.org/10.1364/JOSAB.16.000889


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Abstract

It is shown that the dispersion-managed nonlinear pulse solutions can be viewed as nonlinear Bloch waves with a periodic scattering potential that is set up self-consistently by the wave itself. The pulses are shown to be chirp-free at the center of each dispersion segment. The essential physical mechanism is explained by the interaction of the m=0 and the m=2 Hermite–Gaussian components of the pulse.

© 1999 Optical Society of America

OCIS Codes
(060.2330) Fiber optics and optical communications : Fiber optics communications

Citation
Hermann A. Haus and Yijiang Chen, "Dispersion-managed solitons as nonlinear Bloch waves," J. Opt. Soc. Am. B 16, 889-894 (1999)
http://www.opticsinfobase.org/josab/abstract.cfm?URI=josab-16-6-889


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References

  1. M. Suzuki, N. Edagawa, I. Morita, S. Yamamoto, and S. Akiba, “Soliton-based return-to-zero transmission over transoceanic distances by periodic dispersion compensation,” J. Opt. Soc. Am. B 14, 2953–2959 (1997).
  2. J. H. B. Nijhof, N. J. Doran, W. Forysiak, and F. M. Knox, “Stable soliton-like propagation in dispersion-managed systems with net anomalous, zero and normal dispersion,” Electron. Lett. 23, 1726–1727 (1997).
  3. G. M. Carter, J. M. Jacob, C. R. Menyuk, E. A. Golovchenko, and A. N. Pilipetskii, “Timing-jitter reduction for a dispersion-managed soliton system,” Opt. Lett. 22, 513–515 (1997).
  4. Y. Kodama, S. Kumar, and A. Maruta, “Chirped nonlinear pulse propagation in a dispersion-compensated system,” Opt. Lett. 22, 1689–1691 (1997).
  5. V. S. Grigoryan and C. R. Menyuk, “Dispersion-managed solitons at normal average dispersion,” Opt. Lett. 23, 609–611 (1998).
  6. S. K. Turitsyn, T. Schafer, and K. Mezentsev, “Self-similar core and oscillatory tails of a path-averaged chirped dispersion-managed optical pulse,” Opt. Lett. 23, 1351–1353 (1998).
  7. T. I. Lakoba and D. J. Kaup, “Shape of stationary pulse in strong dispersion management regime,” Electron. Lett. 34, 1124–1126 (1998).
  8. S. M. J. Kelly, “Characteristic sideband instability of periodically amplified average solitons,” Electron. Lett. 28, 806–807 (1992).
  9. H. Poincaré, Les méthodes nouvelles de la mécanique céleste (Gauthier-Villars, Paris, 1892), Vol. 3.
  10. N. Minorsky, Nonlinear Oscillations (Van Nostrand, Princeton, N.J., 1992), Chap. 10.

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