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Optics Letters

Optics Letters


  • Vol. 36, Iss. 9 — May. 1, 2011
  • pp: 1659–1661

Noise bandwidth dependence of soliton phase in simulations of stochastic nonlinear Schrödinger equations

Daniel S. Cargill, Richard O. Moore, and C. J. McKinstrie  »View Author Affiliations

Optics Letters, Vol. 36, Issue 9, pp. 1659-1661 (2011)

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We demonstrate that soliton perturbation theory, though widely used, predicts an incorrect phase distribution for solitons of stochastically driven nonlinear Schrödinger equations in physically relevant parameter regimes. We propose a simple variational model that accounts for the effect of radiation on phase evolution and correctly predicts its distribution.

© 2011 Optical Society of America

OCIS Codes
(060.2330) Fiber optics and optical communications : Fiber optics communications
(060.5060) Fiber optics and optical communications : Phase modulation
(190.4370) Nonlinear optics : Nonlinear optics, fibers

ToC Category:
Fiber Optics and Optical Communications

Original Manuscript: February 3, 2011
Manuscript Accepted: March 8, 2011
Published: April 28, 2011

Daniel S. Cargill, Richard O. Moore, and C. J. McKinstrie, "Noise bandwidth dependence of soliton phase in simulations of stochastic nonlinear Schrödinger equations," Opt. Lett. 36, 1659-1661 (2011)

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  1. D. Anderson, Phys. Rev. A 27, 3135 (1983). [CrossRef]
  2. D. J. Kaup, Phys. Rev. A 44, 4582 (1991). [CrossRef] [PubMed]
  3. E. Iannone, F. Matera, A. Mecozzi, and M. Settembre, Nonlinear Optical Communication Networks (Wiley, 1998).
  4. V. S. Grigoryan, C. R. Menyuk, and R.-M. Mu, J. Lightwave Technol. 17, 1347 (1999). [CrossRef]
  5. C. J. McKinstrie, C. Xie, and C. Xu, Opt. Lett. 28, 604 (2003). [CrossRef] [PubMed]
  6. X. Wei and X. Liu, Opt. Lett. 28, 2300 (2003). [CrossRef] [PubMed]
  7. J. Li, E. Spiller, and G. Biondini, Phys. Rev. A 75, 053805 (2007). [CrossRef]
  8. J. P. Gordon, J. Opt. Soc. Am. B 9, 91 (1992). [CrossRef]
  9. K.-P. Ho, IEEE J. Sel. Top. Quantum Electron. 10, 421 (2004). [CrossRef]
  10. R. O. Moore, G. Biondini, and W. L. Kath, SIAM Rev. 50, 523 (2008). [CrossRef]
  11. E. T. Spiller and G. Biondini, Phys. Rev. A 80, 011805 (2009). [CrossRef]
  12. I. R. Gabitov and S. K. Turitsyn, Opt. Lett. 21, 327 (1996). [CrossRef]
  13. M. J. Ablowitz and G. Biondini, Opt. Lett. 23, 1668(1998). [CrossRef]
  14. J. P. Gordon and H. A. Haus, Opt. Lett. 11, 665 (1986). [CrossRef] [PubMed]
  15. J. P. Gordon and L. F. Mollenauer, Opt. Lett. 15, 1351 (1990). [CrossRef] [PubMed]
  16. T. Y. Hou, J. S. Lowengrub, and M. J. Shelley, J. Comput. Phys. 114, 312 (1994). [CrossRef]
  17. M. J. Ablowitz, T. P. Horikis, and B. Ilan, Phys. Rev. A 77, 033814 (2008). [CrossRef]
  18. F. Ilday, F. Wise, and F. Kaertner, Opt. Express 12, 2731 (2004). [CrossRef] [PubMed]

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