Skip to content


  • Research Article
  • Open Access

Time-Frequency (Wigner) Analysis of Linear and Nonlinear Pulse Propagation in Optical Fibers

EURASIP Journal on Advances in Signal Processing20052005:314203

  • Received: 12 April 2004
  • Published:


Time-frequency analysis, and, in particular, Wigner analysis, is applied to the study of picosecond pulse propagation through optical fibers in both the linear and nonlinear regimes. The effects of first- and second-order group velocity dispersion (GVD) and self-phase modulation (SPM) are first analyzed separately. The phenomena resulting from the interplay between GVD and SPM in fibers (e.g., soliton formation or optical wave breaking) are also investigated in detail. Wigner analysis is demonstrated to be an extremely powerful tool for investigating pulse propagation dynamics in nonlinear dispersive systems (e.g., optical fibers), providing a clearer and deeper insight into the physical phenomena that determine the behavior of these systems.

Keywords and phrases

  • Wigner distributions
  • dispersive media
  • nonlinear fiber optics
  • optical pulse propagation and solitons

Authors’ Affiliations

Institut National de la Recherche Scientifique, Énergie, Matériaux et Télécommunications, 800 de la Gauchetière Ouest, bureau 6900, Montréal, QC, H5A 1K6, Canada


© Azaña 2005