E. Lantz et al., PHASE-MATCHING FOR PARAMETRIC AMPLIFICATION IN A SINGLE-MODE BIREFRINGENT FIBER - INFLUENCE OF THE NON-PHASE-MATCHED WAVES, Journal of the Optical Society of America. B, Optical physics, 14(1), 1997, pp. 116-125
In a single-mode birefringent fiber, phase matching in four-photon par
ametric amplification implies linear terms, which are due to dispersio
n and birefringence, and nonlinear terms, which are due to self- and c
ross-phase modulations. In the normal-dispersion regime combinations o
f these terms lead to three phase-matched regimes. When the pump is eq
ually divided between the two polarizations one must take the nonphase
-matched waves into account to obtain accurate values of the phase-mat
ched wavelengths and of the gain. To calculate these parameters we ana
lytically develop corrected models of both the four-wave mixing formal
ism and of the modulation instability formalism and show the correspon
dence between these two approaches. Then we experimentally show that t
he parametric gain increases with the value of the birefringence. (C)
1997 Optical Society of America.