Title :
Non-Gaussian statistics of amplifier spontaneous emission
Author :
Derevyanko, S.A. ; Turitsyn, S.K. ; Yakushev, D.A.
Author_Institution :
Inst. for Radiophys. & Electron., Kharkov, Ukraine
Abstract :
In this paper, we study soliton statistics rigorously deriving the Fokker-Planck equation governing PDF for the four soliton parameters. As the principle example we examine NLS equation with the additive white Gaussian noise (AWGN). First we show that the Gaussian statistics can be justified for short enough propagation distances. For the large distances the Gaussian approximation breaks down and we illustrate it calculating explicitly the PDF for the soliton amplitude.
Keywords :
AWGN; Fokker-Planck equation; Gaussian processes; Schrodinger equation; optical communication; optical fibres; optical solitons; superradiance; AWGN; Fokker-Planck equation; NLS equation; PDF; additive white Gaussian noise; amplifier spontaneous emission; nonGaussian statistics; nonlinear Schrodinger equation; probability density function; soliton amplitude; soliton parameters; soliton statistics; AWGN; Additive white noise; Equations; Gaussian noise; Jitter; Optical amplifiers; Optical propagation; Solitons; Spontaneous emission; Statistics;
Conference_Titel :
Physics and Engineering of Microwaves, Millimeter, and Submillimeter Waves, 2004. MSMW 04. The Fifth International Kharkov Symposium on
Print_ISBN :
0-7803-8411-3
DOI :
10.1109/MSMW.2004.1345905
