Open AccessParametric amplification in presence of dispersion fluctuations
Author(s) -
Mitra Farahmand,
C. Martijn de Sterke
Publication year - 2004
Publication title -
optics express
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.394
H-Index - 271
ISSN - 1094-4087
DOI - 10.1364/opex.12.000136
Subject(s) - autocorrelation , dispersion (optics) , parametric statistics , piecewise , optics , position (finance) , gaussian , physics , statistical physics , mathematics , statistics , mathematical analysis , finance , quantum mechanics , economics
Parametric amplification in fibers with dispersion fluctuations is analyzed. The fluctuations are modelled as a stochastic process, with their size at a given position modelled as a Gaussian, and the autocorrelation decreasing exponentially. Two models are studied: in one the dispersion is piecewise constant, while in the other it is continuous. We find that the amplification does not depend on the models' details and that only fluctuations with long correlation lengths affect the amplification significantly.