Derevyanko, Stanislav A., Turitsyn, Sergei K. and Yakushev, Dennis A. (2005). Fokker-Planck equation approach to the description of soliton statistics in optical fiber transmission systems. Journal of the Optical Society of America B, 22 (4), pp. 743-752.
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.
| Publication DOI: | https://doi.org/10.1364/JOSAB.22.000743 |
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| Divisions: | 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: http://www.opticsinfobase.org/josab/abstract.cfm?uri=josab-22-4-743. 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 |
| Last Modified: | 14 Feb 2024 08:03 |
| Date Deposited: | 15 Jul 2014 08:55 |
| 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. ( 
0000-0003-0101-3834)
Yakushev, Dennis A. |
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