Abstract

In this work, we develop a vectorial model, for optical communications, using distributed Raman amplification (DRA) applied to vectorial soliton pulses in monomode fiber optics. The main result, a dependent polarization effective Raman gain coefficient, is calculated considering the random birefringence character of the fiber and the relative mismatch between the continuous wave (CW) pump and the signal. The Method of Moments allows the determination of the optimal initial conditions to achieve a better performance in our system. With these starting values, the simulations carried out with the Split-Step Fourier Method (SSFM) elucidate the influence of the peak power and prechirping initial phase control on the vectorial soliton propagation.

Highlights

  • Nonlinear effects in optical fibers have a clear influence in signal propagation in a variety of interesting phenomena that can disrupt the transmission of the optical signal

  • A vector theory of the stimulatedRaman scattering (SRS) process that describes the polarization effects in Raman fiber amplifiers (RFA) was developed [3], the results showed how polarization mode dispersion (PMD)

  • In the first one the optimal initial conditions, for the pulse launch, are calculated via the Method of the Moments and in the final part, we run a set of simulations to determine the influence of the distributed gain in the pulse propagation using the Split-Step Fourier Method (SSFM)

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Summary

Introduction

Nonlinear effects in optical fibers have a clear influence in signal propagation in a variety of interesting phenomena that can disrupt the transmission of the optical signal. The investigation of these systems began a few decades ago and a formal theoretical analysis of the SRS phenomenon in birefringent single-mode optical fibers was clearly substantiated [1,2], the study of the coupling between pump and the Stokes signal wave amplitudes was obtained and the gain for the different polarization components without taking into account dispersive effects was identified. A vector theory of the SRS process that describes the polarization effects in Raman fiber amplifiers (RFA) was developed [3], the results showed how polarization mode dispersion (PMD). Caused fluctuations in the continuous wave signal when it propagates through the amplifying device. This model was later refined [4] to describe the vector interaction between strong counterpropagation pumping and a weak Stokes signal in birefringent fibers. In order to complete the model, a modification of the technique of averaging over the length of random birefringence correlation in the fibers to study the properties of polarization in RFA is proposed [5,6,7], along with the works in [8,9,10] which analyze the interaction of two counter-propagating polarized beams in a randomly birefringent fiber via the Kerr and Raman effects

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