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

Stanislav A. Derevyanko, Sergei K. Turitsyn, Dennis A. Yakushev

Research output: Contribution to journalArticlepeer-review

34 Scopus citations

Abstract

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.

Original languageEnglish
Pages (from-to)743-752
Number of pages10
JournalJournal of the Optical Society of America B: Optical Physics
Volume22
Issue number4
DOIs
StatePublished - 1 Jan 2005
Externally publishedYes

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Atomic and Molecular Physics, and Optics

Fingerprint

Dive into the research topics of 'Fokker-Planck equation approach to the description of soliton statistics in optical fiber transmission systems'. Together they form a unique fingerprint.

Cite this