Phase-Sensitive Amplification in a Dispersion Oscillating Fiber with Two Pumps

Abstract

Propagation of two pumps and degenerate signal in a dispersion oscillating fiber (DOF) is investigated analytically and numerically. Unlike the single-pump case, the gain side-bands are found to be influenced by the generated high-order pumps.

A Comprehensive Study on Phase Sensitive Amplification and Stimulated Brillouin Scattering in Nonlinear Fibers with Longitudinally Varying Dispersion

“…This is because unless the dispersion oscillation amplitude is large compared to the average dispersion, or more specifically, β 2 z is comparable to β2 z mod 2π , the effect of dispersion oscillation is negligible as can also be seen from Equation (31). Nevertheless, for β 2 away from 0, on increasing β2 , the high-order MI sidebands, corresponding to q ̸ = 0 start to appear [49]. In this case, since the nonlinear phase γPL is about 0.6 rads, the maximum gain of the PSA is about 10 dB.…”

“…For β 2 = 0 ps 2 /km, not only the analytical model overestimates the maximum gain, it also predicts a shorter gain ripple wavelength. This mismatch between the numerical and analytical models is due to the presence of high-order waves that are generated from the FWM processes involving the two strong pumps [49].…”

“…However, a dual pump PSA system is often preferred to a single pump system, owing to its ability to provide a larger gain [46], or for the amplification of polarization multiplexed optical signals [47,48]. Since here our focus will be on achieving a larger gain for the PSA system, we will restrict our discussion to the fundamental gain band (q = 0) of the system, that typically can reach gains much larger than the high-order sidebands [49].…”

“…But they give rise to gain peaks at different pump-signal separations since their phase matching condition is different. This is in fact the origin of high-order MI sidebands in DOF based parametric amplifiers [49,51]. But now, let us consider the case where instead of one dispersion oscillation wavelength z mod , there are two, z m1 and z m2 .…”