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Optics Letters

Optics Letters


  • Editor: Alan E. Willner
  • Vol. 36, Iss. 23 — Dec. 1, 2011
  • pp: 4623–4625

Modulational instability in a passive fiber cavity, revisited

D. A. Zezyulin, V. V. Konotop, and M. Taki  »View Author Affiliations

Optics Letters, Vol. 36, Issue 23, pp. 4623-4625 (2011)

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Modulation instability in a passive fiber cavity is revisited. We address the problem in the statement with a continuous-time Ikeda map, rather than in the mean-field limit. It is found that plane wave solutions are unstable for both normal and anomalous dispersion regimes of an optical fiber. The origin of the instability in the continuous-time Ikeda map is in the mode mixing introduced by the beam splitter. The obtained conditions for the instability were compared with ones known for the discrete-time Ikeda map, showing appreciable difference, which, however reduces in the mean-field limit.

© 2011 Optical Society of America

OCIS Codes
(190.0190) Nonlinear optics : Nonlinear optics
(190.3100) Nonlinear optics : Instabilities and chaos
(190.4360) Nonlinear optics : Nonlinear optics, devices
(190.4370) Nonlinear optics : Nonlinear optics, fibers
(230.4320) Optical devices : Nonlinear optical devices

ToC Category:
Nonlinear Optics

Original Manuscript: September 23, 2011
Manuscript Accepted: October 24, 2011
Published: November 28, 2011

D. A. Zezyulin, V. V. Konotop, and M. Taki, "Modulational instability in a passive fiber cavity, revisited," Opt. Lett. 36, 4623-4625 (2011)

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  1. K. Ikeda, Opt. Commun. 30, 257 (1979). [CrossRef]
  2. H. M. Gibbs, Optical Bistability: Controlling Light with Light (Academic, 1985).
  3. K. Ikeda, H. Daido, and O. Akimoto, Phys. Rev. Lett. 45, 709(1980). [CrossRef]
  4. M. Haelterman, Opt. Lett. 17, 792 (1992). [CrossRef] [PubMed]
  5. S. Coen and M. Haelterman, Phys. Rev. Lett. 79, 4139(1997). [CrossRef]
  6. D. W. McLaughlin, J. V. Moloney, and A. C. Newell, Phys. Rev. Lett. 54, 681 (1985). [CrossRef] [PubMed]
  7. L. A. Lugiato and R. Lefever, Phys. Rev. Lett. 58, 2209(1987). [CrossRef] [PubMed]
  8. M. Tlidi, A. Mussot, E. Louvergneaux, G. Kozyreff, A. G. Vladimirov, and M. Taki, Opt. Lett. 32, 662 (2007). [CrossRef] [PubMed]
  9. M. Haelterman, S. Trillo, and S. Wabnitz, Opt. Lett. 17, 745(1992). [CrossRef] [PubMed]
  10. G. Kozyreff, T. Erneux, M. Haelterman, and P. Kockaert, Phys. Rev. A 73, 063815 (2006). [CrossRef]
  11. G. Agez, M. G. Clerc, and E. Louvergneaux, Phys. Rev. E 77, 026218 (2008). [CrossRef]

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