Determination of the optimal relaxation parameter in a numerical procedure for solitons propagation

TL;DR

This paper optimizes the relaxation parameter in a numerical method to improve processing time for simulating soliton propagation in optical fibers, considering various dielectric properties.

Contribution

It introduces an optimized approach for selecting the relaxation parameter to enhance computational efficiency in soliton propagation simulations.

Findings

Optimal relaxation parameters vary with dielectric properties.

Processing time is significantly reduced with the optimized parameter.

The method improves simulation efficiency for different fiber configurations.

Abstract

In this work, considering a numerical procedure developed to solve a system of coupled nonlinear complex differential equations, which describes the solitons propagation in dielectric optical fibers, we optimize the numerical processing time, in relation to the relaxation parameter of the procedure, for relevant groups of values of the dielectric variables of the optic fiber. Key-words: optical soliton, processing time, optimization.