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Efficient evaluation of nonlinearity in modern coherent opticaltelecommunication networks is necessary for design, optimization andmanagement. The original GN model formula can not be used in real timeapplications due to long processing time needed for numerical 2-D integration,particularly when facing with full C band or C+L band. There are closed formapproximations of the GN model which has been mathematically derived based onsome assumptions which fail in low dispersion regime. In this work, we derive aGN closed form formula without any restrictive assumption capable of handlingarbitrary WDM combs and arbitrary link structures in closed form which can beused with a very good accuracy with respect to original GN formula for networksemploying both high and low dispersion fibers.

A GN-model closed-form formula considering coherency terms in the Link function and covering all possible islands in 2-D GN integration