Análisis de los efectos dispersivos y no lineales en un canal óptico empleando métodos numéricos

Abstract

In this document, we present the modeling of an optical channel solving the Non Linear Schrödinger Equation (NLSE). We present two alternatives to solve the NLSE: the analytical solution and the numerical solution with the Split–Step Fourier Transform method. In the simulation, we consider the linear effects, such as the chromatic dispersion, and the nonlinear effects. One of the nonlinear effects is the Kerr effect, responsible for other nonlinear effects such as the Self Phase Modulation (SPM) and Cross Phase Modulation (XPM). The solution methods are employed in this paper to simulate and visualize the propagation effects through the optical fiber. We select an scenario of an optical access network with a single-mode fiber with fiber lengths of 20 and 40 km and data bit rates from 1,25 to 100 Gbps. On the other hand, we also present the nonlinear effects Stimulated Raman Scattering (SRS) and Stimulated Brillouin Scattering (SBS). We present the equations to model the SRS effect. We present simulation results with Raman amplification in a selected scenario.