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 |
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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 | |
State | Published - 1 Jan 2005 |
Externally published | Yes |
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Atomic and Molecular Physics, and Optics