Abstract
Abstract Among various fibre nonlinearity compensation schemes, digital backpropagation (DBP) is considered a benchmark because it can eliminate all deterministic linear and nonlinear impairments. The so-called nonlinear Shannon limit in optical fibre transmissions with DBP origins from nondeterministic effects, mainly nonlinear signal–noise interaction (NSNI) via the Kerr effect. Previous analysis of the nonlinear transmission performance is generally based on an assumption of weak NSNI. In this paper, we extend the theoretical analysis to the strong NSNI. We analyse the accumulation of NSNI along the whole fibre link and derive closed-form expressions of SNR and other important parameters. Subsequently, we verify our theoretical analysis in simulation and show that our expression still provides a good prediction well beyond the SNR peak, where the nonlinear phase shift is much larger than unity and the NSNI is strong. Our solutions provide more accurate amendments to the established ones, and we extend them to optical fibre transmission systems with polarization-multiplexing, wavelength-division multiplexing and finite transceiver noise.
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