publication detail

Analytical seven-wave model for wave propagation in a degenerate dual-pump fiber phase sensitive amplifier

AUTHORS

  • Chatterjee Debanuj
  • Bouasria Yousra
  • Goldfarb Fabienne
  • Bretenaker Fabien

Document type

Journal articles

Résumé

We develop an analytical model to describe propagation of seven continuous (CW) waves (two strong pumps, a degenerate signal and idler, two high-order idlers (HOIs) and two high-order pumps (HOPs)) through a nonlinear fiber. The model is developed considering the pumps to be much stronger than the other waves. The 7-wave system is analyzed in terms of interactions between its 4-wave subsystems : (a) pumps and degenerate signal and idler, (b) pumps and HOIs, and (c) pumps and HOPs. First we analyze the three 4-wave subsystems, and then we move to the 7-wave system and compare the two analytical models. The analytical 7-wave model reveals that a strong coupling (mediated through four wave mixing processes), between the subsystem with the signal and the subsystem with the HOIs leads to an important role of the HOIs in influencing the signal gain of a degenerate dual-pump fiber phase sensitive amplifier (PSA). We find that the maximum PSA gain of the signal for such an amplifier can be significantly enhanced by launching the HOIs at the fiber input along with the signal. We compare the analytical results with that of a numerical 7-wave model and for the anomalous dispersion regime we find a good agreement between the two when the system nonlinearity is weak, i.e. total nonlinear phase less than 0.6 rad.

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