Numerical Analyses Optical Solitons in Dual Core Couplers with Kerr Law Nonlinearity

A. A. Al Qarni,M. A. Banaja,H. O. Bakodah

doi:10.4236/am.2015.612173

A. A. Al Qarni, M. A. Banaja + Show 1 more

Open Access

https://doi.org/10.4236/am.2015.612173

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Abstract

In this paper, we present the results of numerical analysis of optical solitons in dual core couplers. We studied the optical couplers as an application for the non-linear Schrödinger equation in the case of Kerr law for non-linear and clarify the exact solution in this case. Then we have provided a numerical study of the effect of changing the constants in the form of the three types of solitons: bright soliton and dark solitons and singular soliton.

Highlights

The propagation solitons through optical fibers have been a major area of study given its potential applicability in optical communication systems
Signal propagation through optical fibers can be affected by group velocity dispersion (GVD), polarization mode dispersion (PMD), and nonlinear effects
The propagation solitons through optical fibers have been well established that this dynamics is described, to first approximation, by the integral nonlinear Schrodinger equation (NLSE) [1]

Summary

Introduction

The propagation solitons through optical fibers have been a major area of study given its potential applicability in optical communication systems. The Kerr effect of nonlinearity is due to the dependence of the fiber refractive index on the field intensity. The propagation solitons through optical fibers have been well established that this dynamics is described, to first approximation, by the integral nonlinear Schrodinger equation (NLSE) [1]. The Nonlinear Schrodinger’s Equation plays a vital role in various areas of physical, biological, and engineering sciences. It appears in many applied fields, including fluid dynamics, nonlinear optics, plasma physics, and protein chemistry. The Kerr law of nonlinearity originates from the fact that a light wave in an optical fiber faces nonlinear responses from nonharmonic motion of electrons bound in molecules, caused by an external electric field. Even though the nonlinear responses are extremely weak, their effects appear in various ways over long distances of propagation that are measured in terms of light wavelength

Dual-Core Couplers

Bright Solitons

Dark Solitons

Singular Solitons

Results of Numerical Analyses

Conclusions