Abstract
An accurate, closed-form expression evaluating the nonlinear interference (NLI) power in coherent optical transmission systems in the presence of inter-channel stimulated Raman scattering (ISRS) is derived. The analytical result enables a rapid estimate of the signal-to-noise ratio (SNR) and avoids the need for integral evaluations and split-step simulations. The formula also provides new insight into the underlying parameter dependence of ISRS on the NLI. The proposed result is applicable for dispersion unmanaged, ultra-wideband transmission systems that use optical bandwidths of up to 15 THz. The accuracy of the closed-form expression is compared to numerical integration of the ISRS Gaussian Noise model and split-step simulations in a point-to-point transmission, as well as in a mesh optical network scenario.
Highlights
A NALYTICAL models to estimate nonlinear interference (NLI) are key for rapid and efficient system design [1], achievable rate estimations of point-to-point links [2]–[4] and physical layer aware network optimization
For ultra-wideband signals with over 200 WDM channels, the computation time quickly increases to a few hours to obtain the NLI distribution across the entire optical bandwidth
In the context of perturbation based models, the impact of inter-channel stimulated Raman scattering (ISRS) on the Kerr effect is modeled by changing the effective attenuation across the transmitted spectrum to resemble the average effect of ISRS, neglecting temporal fluctuations
Summary
A NALYTICAL models to estimate nonlinear interference (NLI) are key for rapid and efficient system design [1], achievable rate estimations of point-to-point links [2]–[4] and physical layer aware network optimization. For ultra-wideband signals with over 200 WDM channels, the computation time quickly increases to a few hours to obtain the NLI distribution across the entire optical bandwidth For some applications, such time frames are not acceptable and closed-form approximations, that yield performance estimations in picoseconds, are required. The derived formula generalizes our previous results in [24] by including the dispersion slope, the improved ISRS description of the ISRS GN model and arbitrary launch power distributions, including variably loaded fiber spans The latter enables real time performance estimations in optical mesh networks.
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