The Generalized Droop Formula

Abstract

We present a theoretical model that fully supports the recently disclosed generalized droop formula (GDF) for calculating the signal-to-noise ratio (SNR) of constant-output power (COP) amplified dispersion-uncompensated coherent links operated at very low SNR. We compare the GDF to the better known Gaussian noise (GN) model. A key finding is that the end-to-end model underlying the GDF is a concatenation of per-span first-order regular perturbation (RP1) models with end-span power renormalization. This fact allows the GDF to well reproduce the SNR of highly nonlinear systems, well beyond the RP1 limit underlying the GN model. The GDF is successfully extended to the case where the bandwidth/modes of the COP amplifiers are not entirely filled by the transmitted multiplex. Finally, the GDF is extended to constant-gain (CG) amplifier chains and is shown to improve on known GN models of highly nonlinear propagation with CG amplifiers.

arXiv commentSubmitted to the Journal of Lightwave Technology

References in corpus (5)

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• Analytical Modeling of Nonlinear Propagation in a Strongly Dispersive Optical Communication System
• A Detailed Analytical Derivation of the GN Model of Non-Linear Interference in Coherent Optical Transmission Systems
• An Alternative Derivation of Johannisson's Regular Perturbation Model
• A model for the generalized droop formula