WIAS Preprint No. 1201, (2007)

Control and removing of modulational instabilities in low dispersion photonic crystal fiber cavities



Authors

  • Tlidi, Mustapha
  • Mussot, Arnaud
  • Louvergneaux, Eric
  • Kozyreff, Gregory
  • Vladimirov, Andrei G.
  • Taki, Abdelmajid

2010 Mathematics Subject Classification

  • 78A60 37K45

2008 Physics and Astronomy Classification Scheme

  • 42.65.-k, 42.65.Wi, 42.65.Sf

Keywords

  • Photonic crystal fibers, modulational instability, forth order dispersion

Abstract

Taking up to fourth order dispersion effects into account, we show that fiber resonators become stable for large intensity regime. The range of pump intensities leading to modulational instability becomes finite and controllable. Moreover, by computing analytically the thresholds and frequencies of these instabilities, we demonstrate the existence of a new unstable frequency at the primary threshold. This frequency exists for arbitrary small but nonzero fourth order dispersion coefficient. Numerical simulations for a low and flattened dispersion photonic crystal fiber resonator confirm analytical predictions and opens the way to experimental implementation.

Appeared in

  • Optics Letters, 32 (2007) pp. 662-664.

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