Phase-sensitive amplification in modulation instability sidebands

We consider the interaction of two intense pumps with the signal wave propagating in dispersion oscillating fiber. Oscillation of the fiber dispersion leads to the generation of multiple sidebands of the modulation instability. We found that the parametric amplification in the sidebands can be phase-sensitive. The parametric gain depends both on the phases of interacting waves and on the phase of dispersion oscillation. The parametric gain or anti-gain can be tuned in a wide frequency range using the phase of the oscillation of the fiber dispersion.