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

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

doi:10.1364/JOSAB.22.000743

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 journal › Article › peer-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 language	English
Pages (from-to)	743-752
Number of pages	10
Journal	Journal of the Optical Society of America B: Optical Physics
Volume	22
Issue number	4
DOIs	https://doi.org/10.1364/JOSAB.22.000743
State	Published - 1 Jan 2005
Externally published	Yes

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Atomic and Molecular Physics, and Optics

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10.1364/JOSAB.22.000743

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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.",

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AU - Yakushev, Dennis A.

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AB - 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.

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

Abstract

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