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This article is part of the series Signal Analysis Tools for Optical Information Processing.

Open Access Research Article

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

José Azaña

Author Affiliations

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

EURASIP Journal on Advances in Signal Processing 2005, 2005:314203  doi:10.1155/ASP.2005.1554

The electronic version of this article is the complete one and can be found online at: http://asp.eurasipjournals.com/content/2005/10/314203

Received:12 April 2004
Revisions received:7 June 2004
Published:30 June 2005

© 2005 Azaña

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.

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

Research Article