Fokker-Planck equation approach to the description of soliton statistics in optical fiber transmission systems


We derive rigorously the Fokker-Planck equation that governs the statistics of soliton parameters in optical transmission lines in the presence of additive amplifier spontaneous emission. We demonstrate that these statistics are generally non-Gaussian. We present exact marginal probability-density functions for soliton parameters for some cases. A WKB approach is applied to describe the tails of the probability-density functions.

Publication DOI:
Divisions: College of Engineering & Physical Sciences > School of Informatics and Digital Engineering > Mathematics
College of Engineering & Physical Sciences > School of Informatics and Digital Engineering > Electrical and Electronic Engineering
College of Engineering & Physical Sciences > Systems analytics research institute (SARI)
College of Engineering & Physical Sciences > Aston Institute of Photonics Technology (AIPT)
Additional Information: © 2005 Optical Society of America This paper was published in Journal of the Optical Society of America B and is made available as an electronic reprint with the permission of OSA. The paper can be found at the following URL on the OSA website: Systematic or multiple reproduction or distribution to multiple locations via electronic or other means is prohibited and is subject to penalties under law.
Uncontrolled Keywords: Fokker-Planck equation,optical solitons,statistical analysis,optical fibre communication,superradiance,WKB calculations ,Atomic and Molecular Physics, and Optics
Publication ISSN: 1520-8540
Full Text Link:
Related URLs: http://www.scop ... tnerID=8YFLogxK (Scopus URL)
http://www.opti ... =josab-22-4-743 (Publisher URL)
PURE Output Type: Article
Published Date: 2005
Authors: Derevyanko, Stanislav A.
Turitsyn, Sergei K. (ORCID Profile 0000-0003-0101-3834)
Yakushev, Dennis A.



Version: Published Version

Export / Share Citation


Additional statistics for this record