Abstract
This study presents 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 with Mathematica and the results give a very clear idea of this interesting and important practical phenomenon.
Highlights
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 fibers
The purpose of this study is to describe the use of a very powerful tool to solve the generalized Nonlinear Paraxial equation that has stable solutions called optical solutions[2]
The physical origin of solitons is the Kerr effect, which relies on a nonlinear dielectric constant that can balance the group dispersed in the optical propagation medium
Summary
The field of nonlinear optics has developed in recent years as nonlinear materials have become available and widespread applications have become apparent. Where the small parameter ε (|ε|
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