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Optics Express

Optics Express

  • Editor: Michael Duncan
  • Vol. 11, Iss. 26 — Dec. 29, 2003
  • pp: 3574–3582

Propagation dynamics of weakly localized cnoidal waves in dispersion-managed fiber: from stability to chaos

N. Korneev, V.A. Vysloukh, and E. Morales Rodríguez  »View Author Affiliations

Optics Express, Vol. 11, Issue 26, pp. 3574-3582 (2003)

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We study the dynamics of propagation of the pulse train modeled by truncated cnoidal-type wave in a nonlinear dispersion-managed (DM) fiber. Computer simulations permit to select fiber parameters and waveform to ensure self-repeating of wave after the dispersion map period. It is shown that the long-period maps lead to the complicated chaotic behavior of cnoidal type wave, namely the Kolmogorov-Arnold-Moser (KAM) chaos.

© 2003 Optical Society of America

OCIS Codes
(060.4370) Fiber optics and optical communications : Nonlinear optics, fibers
(060.5530) Fiber optics and optical communications : Pulse propagation and temporal solitons

ToC Category:
Research Papers

Original Manuscript: November 12, 2003
Revised Manuscript: December 11, 2003
Published: December 29, 2003

N. Korneev, V. Vysloukh, and E. Rodriguez, "Propagation dynamics of weakly localized cnoidal waves in dispersion-managed fiber: from stability to chaos," Opt. Express 11, 3574-3582 (2003)

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  1. A. Hasegawa, �??Soliton-Based Optical Communications: An Overview,�?? IEEE J. Sel. Top. Quantum Electron. 6, 1161 (2000). [CrossRef]
  2. M. Nakazawa, A. Sahara, H. Kubota, �??Propagation of a solitonlike nonlinear pulse in average normal group-velocity dispersion and its unsuitability for high-speed, long-distance optical transmission,�?? J. Opt. Soc. Am.B 18, 409 (2001). [CrossRef]
  3. H. Haus, �??Mode-Locking of Lasers,�?? IEEE J. Sel. Top. Quantum Electron. 6, 1173 (2000). [CrossRef]
  4. R.-M. Mu, V.S. Grigoryan, C.R. Menyuk, �??Comparison of Theory and Experiment for Dispersion-Managed Solitons in a Recirculating Fiber Loop,�?? IEEE J. Sel. Top. Quantum Electron. 6, 248 (2000). [CrossRef]
  5. L. Berge, V.K. Mezentzev, J.J. Rasmussen, P.L. Christiansen, Yu.B. Gaididei, �??Self-guiding light in layered nonlinear media,�?? Opt. Lett. 25, 1037 (2000). [CrossRef]
  6. I. Towers, B. Malomed, �??Stable (2+1)-dimensional solitons in a layered medium with sign-alternating Kerr nonlinearity�?? J. Opt. Soc. Am. B 19, 537 (2002). [CrossRef]
  7. V. Cautaerts, A. Maruto, Y. Kodama, �??On the dispersion managed soliton,�?? Chaos 10, 515 (2000). [CrossRef]
  8. Y. Chen, �??Dark solitons in dispersion compensated fiber transmission systems,�?? Opt. Commun. 161, 267 (1999). [CrossRef]
  9. C. Pare, P.-A. Belanger, �??Antisymmetric soliton in a dispersion-managed system,�?? Opt. Commun. 168, 103 (1999); [CrossRef]
  10. M.J. Ablowitz, Z.H. Musslimani, �??Dark and gray strong dispersion-managed solitons,�?? Phys. Rev. E 67, 025601(R) (2003). [CrossRef]
  11. P. V. Mamyshev, L.F. Mollenauer, �??Soliton collisions in wavelength-division-multiplexed dispersion-managed systems,�?? Opt. Lett. 24, 448 (1999) [CrossRef]
  12. C. Xu, C. Xie, L. Mollenauer, �??Analysis of soliton collisions in a wavelength-division-multiplexed dispersionmanaged soliton transmission system,�?? Opt. Lett. 27, 1303 (2002). [CrossRef]
  13. Ya.V. Kartashov, V.A. Vysloukh, E.Marti-Panameño, D.Artigas, and L.Torner, �??Dispersion-managed cnoidal pulse trains�??, Phys. Rev. E 68, 026613 (2003). [CrossRef]
  14. E. Infeld, �??Quantitative theory of the Fermi-Pasta-Ulam Resonance in the nonlinear Schrödinger equation,�?? Phys.Rev. Lett. 47, 717 (1981). [CrossRef]
  15. S. Trillo, S. Wabnitz, �??Dynamics of the nonlinear modulational instability in optical fibers,�?? Opt. Lett. 16, 986(1991). [CrossRef] [PubMed]
  16. D.K. Arrowsmith, C.M. Place An introduction to Dynamical Systems, (Cambrige University Press, N.Y., 1990)
  17. N. Korneev, �??Polarization chaos in nonlinear birefringent resonators,�?? Opt. Commun. 211, 153 (2002). [CrossRef]
  18. 18. N. Korneev, �??Analytical solutions for three and four diffraction orders interaction in Kerr media,�?? Opt. Express7, 299 (2000), <a href= "http://www.opticsexpress.org/abstract.cfm?URI=OPEX-7-9-299">http://www.opticsexpress.org/abstract.cfm?URI=OPEX-7-9-299</a> [CrossRef] [PubMed]

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