Evolution of optical pulses in fiber lines with lumped nonlinear devices as a mapping problem

Sonia Boscolo*, Stanislav A. Derevyanko, Sergei K. Turitsyn, Alexander S. Kovalev, M.M. Bogdan

*Corresponding author for this work

Research output: Contribution to journalArticle

Abstract

We analyze the steady-state propagation of optical pulses in fiber transmission systems with lumped nonlinear optical devices (NODs) placed periodically in the line. For the first time to our knowledge, a theoretical model is developed to describe the transmission regime with a quasilinear pulse evolution along the transmission line and the point action of NODs. We formulate the mapping problem for pulse propagation in a unit cell of the line and show that in the particular application to nonlinear optical loop mirrors, the steady-state pulse characteristics predicted by the theory accurately reproduce the results of direct numerical simulations. © 2005 Springer Science+Business Media, Inc.

Original languageEnglish
Pages (from-to)1117-1127
Number of pages11
JournalTheoretical and Mathematical Physics
Volume144
Issue number2
DOIs
Publication statusPublished - Aug 2005

Keywords

  • Autosolitons
  • Dispersive systems with point nonlinearity
  • Mapping problem

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