Dresden 2006 – wissenschaftliches Programm
Bereiche | Tage | Auswahl | Suche | Downloads | Hilfe
DY: Dynamik und Statistische Physik
DY 51: Non-Linear Stochastic Systems
DY 51.4: Vortrag
Freitag, 31. März 2006, 12:15–12:30, H\"UL 186
Statistics of a noise-driven Manakov soliton — •Stanislav Derevyanko1, Jaroslaw Prilepskiy2, and Dennis Yakushev3 — 1Photonics Research Group, Aston Iniversity, Birmingham, UK — 2B.I. Verkin Institute for Low Temperature Physics and Technology, Kharkov, Ukraine — 3Institute for Radiophysics and Electronics, Kharkov, Ukraine
We investigate the statistics of a vector Manakov soliton in the presence of additive Gaussian white noise. The adiabatic perturbation theory for Manakov soliton yields a stochastic Langevin system which we analyze via the corresponding Fokker-Planck equation for the probability density function (PDF) for the soliton parameters. We obtain marginal PDFs for the soliton frequency and amplitude as well as soliton amplitude and polarization angle. We provide the expressions for the Stokes parameters of soliton polarization and determine the depolarization length. We also derive formulae for the variances of all soliton parameters and analyze their dependence on the initial values of polarization angle and phase.