Understanding the Numerical Resolution of Perturbed Soliton Propagation in Single Mode Optical Fiber

Understanding the Numerical Resolution of Perturbed Soliton Propagation in Single Mode Optical Fiber

Nawel Boumaza (Tlemcen University, Algeria), Tayeb Benouaz (Tlemcen University, Algeria) and Souraya Goumri-Said (King Abdullah University of Science and Technology (KAUST), Saudi Arabia)
DOI: 10.4018/978-1-4666-5824-0.ch019
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Abstract

The authors solve the propagation soliton perturbation problem in a nonlinear optical system based on a single mode optical fiber by introducing Rayleigh's dissipation function in the framework of variational approach. The adopted methodology has facilitated the variational approach to be applied on a dissipative system where the Lagrangian and Hamiltonian are difficult to solve. The authors model the propagation in a nonlinear medium by using a nonlinear Schrödinger equation (NLSE). This is a mathematical model used to describe the optical fiber. The chapter is focused on the propagation of perturbed solitary waves in single mode fiber.
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Introduction

Optical fiber devices communications are now an essential value to human life progress. The number of system users canceled and the amount of information conveyed is increasing (Calvez, 2001). The invention and development of amplifiers / regenerator’s erbium-doped fiber (Agrawal, 2007), and optical directional couplers has been the revolution in telecommunications fiber technology (Svalgaard, 1997; Chiang, 1995). This new all-optical technology, which combines the principle of issue stimulated in erbium with the guiding properties of the fiber, allows, without the conversion steps optical-electronic and electronic-optical increase rates of transmission (Romagnoli, 1992). The fiber can be an optical amplifier, an optical switch converter wavelength, solitons in a source, a compressor noise, a filter, an optical memory..., where the total internal reflection is the basic phenomenon responsible for guiding of light. Although most applications of fiber only use their linear characteristics, nonlinear effects have been studied since 1982 and can lead to all-optical switching among other applications (Chu, 1993, Akhmediev, 1993). The characteristics of soliton propagation in a nonlinear guided medium have evoked immense interest when subject to perturbation or to various forms of pulse degradation evolving through non conservative and conservative perturbing processes.

Key Terms in this Chapter

Optical Fiber: A flexible and a transparent fiber made of silica or plastic, slightly thicker than a human hair. It can function as a waveguide, or “light pipe”.

NLSE: It is a nonlinear variation of the Schrödinger equation. It finds application in area of light propagation of light in nonlinear optical fibers and planar waveguides.

Solitons: It is a self-reinforcing solitary wave or a pulse that maintains its shape while it travels at constant speed.

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