A Closed-Form Approximation of the Gaussian Noise Model in the Presence of Inter-Channel Stimulated Raman Scattering

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 and avoids the ne...

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Bibliographic Details
Published in:Journal of lightwave technology 2019-05, Vol.37 (9), p.1924-1936
Main Authors: Semrau, Daniel, Killey, Robert I., Bayvel, Polina
Format: Article
Language:English
Subjects:
Bandwidth
Broadband
C+L band transmission
Closed form solutions
closed-form approximation
Computer simulation
Dependence
Dispersion
Exact solutions
Finite element method
first-order perturbation
Gaussian noise model
Interference
Load modeling
Mathematical models
Modulation
Noise
nonlinear distortion
nonlinear interference
Nonlinear optics
Numerical integration
Numerical models
Optical communication
optical fiber communications
Optical scattering
Raman spectra
Random noise
stimulated Raman scattering
Ultrawideband
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Summary: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 and avoids the need for integral evaluations and split-step simulations. The formula also provides a new insight into the underlying parameter dependence of ISRS on the NLI. Additionally, it accounts for the dispersion slope and arbitrary launch power distributions including variably loaded fiber spans. The latter enables real-time modeling of optical mesh networks. The results is applicable for lumped amplified, dispersion unmanaged, and ultra-wideband transmission systems. 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.
ISSN:0733-8724
1558-2213
DOI:10.1109/JLT.2019.2895237