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

Access to Document

10.1364/JOSAB.22.000743

Cite this

@article{f153d39a5d3b4f6c85a11b9c0731f74f,

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

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.",

author = "Derevyanko, \{Stanislav A.\} and Turitsyn, \{Sergei K.\} and Yakushev, \{Dennis A.\}",

year = "2005",

month = jan,

day = "1",

doi = "10.1364/JOSAB.22.000743",

language = "English",

volume = "22",

pages = "743--752",

journal = "Journal of the Optical Society of America B: Optical Physics",

issn = "0740-3224",

publisher = "Optica Publishing Group (formerly OSA)",

number = "4",

}

TY - JOUR

T1 - Fokker-Planck equation approach to the description of soliton statistics in optical fiber transmission systems

AU - Derevyanko, Stanislav A.

AU - Turitsyn, Sergei K.

AU - Yakushev, Dennis A.

PY - 2005/1/1

Y1 - 2005/1/1

N2 - 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.

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.

UR - https://www.scopus.com/pages/publications/18244363592

U2 - 10.1364/JOSAB.22.000743

DO - 10.1364/JOSAB.22.000743

M3 - Article

AN - SCOPUS:18244363592

SN - 0740-3224

VL - 22

SP - 743

EP - 752

JO - Journal of the Optical Society of America B: Optical Physics

JF - Journal of the Optical Society of America B: Optical Physics

IS - 4

ER -

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

Abstract

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this