P-CF Ms: Polynomial Power-Profile Closed-Form Models Related to the GN-Model

This paper reports on a breakthrough in closed-form formulas for the GN-model, consisting of the exact analytical solution of certain key integrals, leading to improvements in the accuracy and reliability of closed-forms models (CFMs) related to the GN and EGN. This breakthrough was enabled by expressing the spatial power-profile of the channels through a polynomial law. Polynomial spatial power-profile CFMs, or P-CFMs, enable effortless modeling of various situations such as backward and forward Raman amplification and ISRS, which otherwise require approximate strategies that may sometime fail. Low loss and lumped loss are also handled easily, as well as other special situations.