Frequency Logarithmic Perturbation on the Group-Velocity Dispersion Parameter with Applications to Passive Optical Networks
Journal article, 2021

Signal propagation in an optical fiber can be described by the nonlinear Schrdinger equation (NLSE). The NLSE has no known closed-form solution when both dispersion and nonlinearities are considered simultaneously. In this paper, we present a novel integral-form approximate model for the nonlinear optical channel, with applications to passive optical networks. The proposed model is derived using logarithmic perturbation in the frequency domain on the group-velocity dispersion (GVD) parameter of the NLSE. The model can be seen as an improvement of the recently proposed regular perturbation (RP) on the GVD parameter. RP and logarithmic perturbation (LP) on the nonlinear coefficient have already been studied in the literature, and are hereby compared with RP on the GVD parameter and the proposed LP model. As an application of the model, we focus on passive optical networks. For a 20 km PON at 10 Gbaud, the proposed model improves the normalized square deviation by 1.5 dB with respect to LP on the nonlinear coefficient. For the same system, histogram-based detectors are developed using the received symbols from the models. The detector obtained from the proposed LP model reduces the uncoded bit-error-rate by up to 5.4 times at the same input power or reduces the input power by 0.4 dB at the same information rate compared to the detector obtained from LP on the nonlinear coefficient.

regular perturbation

Passive optical networks

nonlinear Schrodinger equation

chromatic dispersion

weakly dispersive regime

Kerr nonlinearity

Mathematical model


Analytical models

logarithmic perturbation

Nonlinear optics

optical fiber

Channel modeling

Optical propagation

Perturbation methods


Vinícius Oliari

Eindhoven University of Technology

Erik Agrell

Chalmers, Electrical Engineering, Communication, Antennas and Optical Networks

Gabriele Liga

Eindhoven University of Technology

A. Alvarado

Eindhoven University of Technology

Journal of Lightwave Technology

0733-8724 (ISSN) 1558-2213 (eISSN)

Vol. 39 16 5287-5299 21079028

Signal shaping in optical communications—Beyond the Gaussian channel

Swedish Research Council (VR) (2017-03702), 2018-01-01 -- 2021-12-31.

Subject Categories

Applied Mechanics

Probability Theory and Statistics

Control Engineering



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