title: Analytical results on back propagation nonlinear compensator with coherent detection.
abstract: We derive analytic formulas for the improvement in effective optical signal-to-noise ratio brought by a digital nonlinear compensator for dispersion uncompensated links. By assuming Gaussian distributed nonlinear noise, we are able to take both nonlinear signal-to-signal and nonlinear signal-to-noise interactions into account. In the limit of weak nonlinear signal-to-noise interactions, we derive an upper boundary of the OSNR improvement. This upper boundary only depends on fiber parameters as well as on the total bandwidth of the considered wavelength-division multiplexing (WDM) signal and the bandwidth available for back propagation. We discuss the dependency of the upper boundary on different fiber types and also the OSNR improvement in practical system conditions. Furthermore, the analytical formulas are validated by numerical simulations.
authors.affiliation: Fraunhofer Institute for Telecommunications Heinrich Hertz Institute, Department of Photonic Networks and Systems, Einsteinufer 37, 10587 Berlin, Germany. t.tanimura@m.ieice.org
authors.forename: Takahito
authors.initials: T
authors.lastname: Tanimura
authors.forename: Markus
authors.initials: M
authors.lastname: Nölle
authors.forename: Johannes Karl
authors.initials: JK
authors.lastname: Fischer
authors.forename: Colja
authors.initials: C
authors.lastname: Schubert
mesh_terms: D003198:Computer Simulation; D017076:Computer-Aided Design; D004867:Equipment Design; D019544:Equipment Failure Analysis; D008027:Light; D008962:Models, Theoretical; D017711:Nonlinear Dynamics; D012542:Scattering, Radiation; D012815:Signal Processing, Computer-Assisted / Q000295:instrumentation*; D020349:Surface Plasmon Resonance / Q000295:instrumentation*; D013685:Telecommunications / Q000295:instrumentation*