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Instability due to cross-phase modulation in the normal-dispersion regime

M. Yu and C. J. McKinstrie

Govind P. Agrawal

  • Department of Mechanical Engineering, University of Rochester, Rochester, New York 14627
  • Laboratory for Laser Energetics, 250 East River Road, Rochester, New York 14623

  • The Institute of Optics, University of Rochester, Rochester, New York 14627

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Phys. Rev. E 48, 2178 – Published 1 September, 1993

DOI: https://doi.org/10.1103/PhysRevE.48.2178

Abstract

The interaction of two light waves, having different frequencies and propagating in a dispersive nonlinear medium, is studied using the method of Zakharov (Zh. Eksp. Teor. Fiz. 51, 1107 (1966) [Sov. Phys. JETP 24, 740 (1967)]). This method does not require the sidebands of the incident waves to have frequencies comparable to those of the incident waves, as do the coupled nonlinear Schrödinger equations that are normally used to model this interaction. It is shown that cross-phase modulation does not necessarily lead to instability of the incident waves. In particular, two light waves propagating in the normal-dispersion regime of a conventional single-mode fiber are stable. However, cross-phase-induced modulational instability can occur in a conventional fiber when one of the light waves propagates in the anomalous dispersion regime. The dispersion curve associated with a dispersion-flattened fiber has two regions in which dispersion is normal, separated by a region in which dispersion is anomalous. Cross-phase-induced modulational instability can occur in a dispersion-flattened fiber when the two light waves propagate in different normal-dispersion regimes.

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References (18)

  1. G. P. Agrawal, Nonlinear Fiber Optics (Academic, Boston, 1989), Chaps. 2 and 7.
  2. G. P Agrawal, Phys. Rev. Lett. 59, 880 (1987).
  3. C. J. McKinstrie and R. Bingham, Phys. Fluids B 1, 230 (1989); ibid. 2, 3215 (1990).
  4. C. J. McKinstrie and G. G. Luther, Phys. Scr. T30, 31 (1990). This paper contains a bibliography of early work on coupled modulational instabilities, to which should be added G. J. Roskes, Stud. Appl. Math. 55, 231 (1976).
  5. J. E. Rothenberg, Phys. Rev. A 42, 682 (1990).
  6. J. E. Rothenberg, Phys. Rev. Lett. 64, 813 (1990).
  7. G. P. Agrawal, Phys. Rev. Lett. 64, 814 (1990).
  8. V. E. Zakharov, Zh. Eksp. Teor. Fiz. 51, 1107 (1966) [Sov. Phys. JETP 24, 740 (1967)].
  9. V. E. Zakharov, Zh. Prikl. Mekh. Tekh. Fiz. 9, 86 (1968) [J. Appl. Mech. Tech. Phys. 9, 190 (1968)].
  10. H. C. Yuen and B. M. Lake, in Advances in Applied Mechanics, edited by C. S. Yih (Academic, New York, 1982), pp. 67–229. Pages 86–89 and 111–118 are of particular relevance.
  11. C. J. McKinstrie and M. V. Goldman, J. Opt. Soc. Am. B 9, 1778 (1992).
  12. Y. Inoue, J. Phys. Soc. Jpn. 43, 243 (1977).
  13. D. Schadt and B. Jaskorzynska, Electron. Lett. 23, 1091 (1987).
  14. E. J. Greer, D. M. Patrick, P. G. J. Wigley and J. R. Taylor, Opt. Lett. 15, 851 (1990).
  15. G. P. Agrawal, Fiber-Optic Communication Systems (Wiley, New York, 1992), Chap. 2.
  16. G. G. Luther and C. J. McKinstrie, J. Opt. Soc. Am. B 7, 1125 (1990).
  17. G. P. Agrawal, J. Opt. Soc. Am. B 7, 1072 (1990).
  18. M. Kauranen, A. L. Gaeta, and C. J. McKinstrie, J. Opt. Soc. Am. B (to be published).

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Phys. Rev. E 48, 2178– Published 1 September, 1993
  • Received 22 April 1993

© 1993 American Physical Society

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