Open AccessFour-wave mixing in fibers with random birefringence
Author(s) -
C. J. McKinstrie,
H. Kogelnik,
R.M. Jopson,
S. Radic,
Andrey Kanaev
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.12.002033
Subject(s) - birefringence , four wave mixing , optics , physics , mixing (physics) , polarization (electrochemistry) , nonlinear system , degenerate energy levels , nonlinear optics , wavenumber , exponential function , mathematical analysis , mathematics , quantum mechanics , laser , chemistry
Parametric amplification is made possible by four-wave mixing. In low-birefringence fibers the birefringence axes and strength vary randomly with distance. Light-wave propagation in such fibers is governed by the Manakov equation. In this paper the Manakov equation is used to study degenerate and nondegenerate four-wave mixing. The effects of linear and nonlinear wavenumber mismatches, and nonlinear polarization rotation, are included in the analysis. Formulas are derived for the initial quadratic growth of the idler power, and the subsequent exponential growth of the signal and idler powers (which continues until pump depletion occurs). These formulas are valid for arbitrary pump and signal polarizations.