Self-Equalization of Energies of Solitons in Transmission Systems by Guiding Filters

TL;DR

This paper presents a mathematical study demonstrating that guiding filters can maintain soliton energies in WDM transmission systems, preventing decay over long distances without relying on numerical or experimental data.

Contribution

It introduces a rigorous mathematical model showing how guiding filters stabilize soliton energies, a novel theoretical insight into transmission system design.

Findings

Guiding filters prevent soliton energy decay in long-distance transmission.

Mathematical model confirms the stabilizing effect of guiding filters.

Results reaffirm previous numerical and experimental observations.

Abstract

In this paper, the regulating effect of guiding filters on the energies of solitons in wave-length division multiplexing (WDM) transmission systems is rigorously studied. More precisely, it is shown that guiding filters prevent the energies of solitons from decaying to zero in long distances. This goal is achieved by studying a mathematical model of the evolution of energies of solitons in transmission systems. The approach is mathematical and does not use numerical or experimental results available in the literature; nevertheless, it reaffirms such results.