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Stability of pulses on optical fibers with phase-sensitive amplifiers

  • J. C. Alexander
  • M. G. Grillakis
  • C. K. R. T. Jones
  • B. Sandstede

Abstract.

Pulse stability is crucial to the effective propagation of information in a soliton-based optical communication system. It is shown in this paper that pulses in optical fibers, for which attenuation is compensated by phase-sensitive amplifiers, are stable over a large range of parameter values. A fourth-order nonlinear diffusion model due to Kutz and co-workers is used. The stability proof invokes a number of mathematical techniques, including the Evans function and Grillakis' functional analytic approach.

Key words. Solitons, nonlinear optical pulse propagation, optical fibers, stability. 

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Copyright information

© Birkhäuser Verlag, Basel, 1997

Authors and Affiliations

  • J. C. Alexander
    • 1
  • M. G. Grillakis
    • 1
  • C. K. R. T. Jones
    • 2
  • B. Sandstede
    • 3
  1. 1.Department of Mathematics, University of Maryland, College Park, MD 20742, USAUS
  2. 2.Division of Applied Mathematics, Brown University, Providence, RI 02912, USA, US
  3. 3.Division of Applied Mathematics, Brown University, Providence, RI 02912, USA, e-mail: sandsted@cfm.brown.eduUS

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