Four-wave mixing in optical phase conjugation system with pre-dispersion

We mathematically analyze Kerr-induced fiber non-linearity in an optical communication system using mid-link optical phase conjugation and pre-dispersion. The derived analytical expressions are used to describe the system performance and show great matching with simulations. Furthermore, based on these expressions, we predict the performance of a transmission system and prove a 3dB improvement in Q-factor compared to the OPC system without pre-dispersion.