Abstract
We present the nonlinearity and dispersion effects involved in the propagation of optical solitons which can be understood by using a numerical routine to solve the generalized nonlinear paraxial equation. A sequence of code has been developed in Mathematica to explore in depth several features of the optical soliton's formation and propagation. These numerical routines were implemented through the use of Mathematica and the results give a very clear idea of this interesting and important practical phenomenon.
Highlights
IntroductionThe field of nonlinear optics has developed in recent years as nonlinear materials have become available and widespread applications have become apparent
The field of nonlinear optics has developed in recent years as nonlinear materials have become available and widespread applications have become apparent. This is true for optical solitons and other types of nonlinear pulse transmission in optical fibres
The purpose of this paper is to describe the use of a very powerful tool to solve the generalized nonlinear paraxial equation that has stable solutions called optical solitons [1]
Summary
The field of nonlinear optics has developed in recent years as nonlinear materials have become available and widespread applications have become apparent. This is true for optical solitons and other types of nonlinear pulse transmission in optical fibres. This form of light propagation can be utilized in the future for very high capacity dispersion-free communications. The physical origin of solitons is the Kerr effect, which relies on a nonlinear dielectric constant that can balance the group dispersion in the optical propagation medium. The resulting effect of this balance is the propagation of solitons, which has the form of a hyperbolic secant [6]
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