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

Volume

1

fYear

2004

Firstpage

395

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;

fLanguage

English

Publisher

ieee

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

Type

conf

DOI

10.1109/MSMW.2004.1345905

Filename

1345905