Pulse interactions in weakly nonlinear coherent optical communication links

TL;DR

This paper investigates pulse interactions in weakly nonlinear coherent optical fibers, identifying resonant triplet interactions, classifying them with Loeschian numbers, and proposing an algorithm to assess intrachannel perturbations.

Contribution

It introduces a theoretical analysis of pulse interactions, classifies triplet interactions using Loeschian numbers, and develops an algorithm for perturbation assessment in optical fibers.

Findings

Resonant triplet interactions dominate pulse perturbations.

The structure of pulse triplets is characterized.

An effective algorithm for perturbation assessment is proposed.

Abstract

The intrachannel interaction of pulses in weakly nonlinear coherent optical fiber lines is theoretically investigated. It is shown that the main contribution to the perturbation of the optical field comes from resonant interactions of ordered triplets of pulses. The structure of triplets is determined. The weight contributions of such interactions are calculated. A classification of interactions using Loeschian numbers is proposed. Using computer simulation, the dependence of the average energy of the optical field perturbations on the distance is shown. Based on the performed analysis, an effective algorithm is proposed for assessing the perturbations resulting from intrachannel interaction.