On the dynamics of dispersion-managed fiber systems with zero Hamiltonian

A.B. Moubissi, Nakkeeran Kaliyaperumal, Abdosllam Moftah Abobaker

Research output: Chapter in Book/Report/Conference proceedingChapter

Abstract

We consider the nonlinear Schrödinger equation (NLSE), which governs the nonlinear pulse propagation in optical fibers. By means of variational formalism for the NLSE, we derive exact analytical expressions for the variational equations corresponding to the amplitude, width and chirp of the pulse in terms of initial pulse parameters, fiber parameters and the distance of propagation of the pulse; under the condition when the Hamiltonian of the system is zero. Then, for Gaussian and hyperbolic secant ansatz, we check the validity of the obtained analytical results to describe pulse propagation in optical fiber. As a practical application of our results, we consider the design of the dispersion-managed fiber systems and we derive an analytical expression for the Gordon-Haus jitter.
Original languageEnglish
Title of host publicationNonlinear Optics Research Progress
EditorsJames L. Davies, Daniel A. Hall
PublisherNova Science Publishers Inc
Pages1-18
Number of pages18
ISBN (Print)1604566698, 978-1604566697
Publication statusPublished - 1 Nov 2008

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fibers
pulses
nonlinear equations
propagation
optical fibers
chirp
formalism
vibration

Cite this

Moubissi, A. B., Kaliyaperumal, N., & Abobaker, A. M. (2008). On the dynamics of dispersion-managed fiber systems with zero Hamiltonian. In J. L. Davies, & D. A. Hall (Eds.), Nonlinear Optics Research Progress (pp. 1-18). Nova Science Publishers Inc.

On the dynamics of dispersion-managed fiber systems with zero Hamiltonian. / Moubissi, A.B.; Kaliyaperumal, Nakkeeran; Abobaker, Abdosllam Moftah.

Nonlinear Optics Research Progress. ed. / James L. Davies; Daniel A. Hall. Nova Science Publishers Inc, 2008. p. 1-18.

Research output: Chapter in Book/Report/Conference proceedingChapter

Moubissi, AB, Kaliyaperumal, N & Abobaker, AM 2008, On the dynamics of dispersion-managed fiber systems with zero Hamiltonian. in JL Davies & DA Hall (eds), Nonlinear Optics Research Progress. Nova Science Publishers Inc, pp. 1-18.
Moubissi AB, Kaliyaperumal N, Abobaker AM. On the dynamics of dispersion-managed fiber systems with zero Hamiltonian. In Davies JL, Hall DA, editors, Nonlinear Optics Research Progress. Nova Science Publishers Inc. 2008. p. 1-18
Moubissi, A.B. ; Kaliyaperumal, Nakkeeran ; Abobaker, Abdosllam Moftah. / On the dynamics of dispersion-managed fiber systems with zero Hamiltonian. Nonlinear Optics Research Progress. editor / James L. Davies ; Daniel A. Hall. Nova Science Publishers Inc, 2008. pp. 1-18
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AB - We consider the nonlinear Schrödinger equation (NLSE), which governs the nonlinear pulse propagation in optical fibers. By means of variational formalism for the NLSE, we derive exact analytical expressions for the variational equations corresponding to the amplitude, width and chirp of the pulse in terms of initial pulse parameters, fiber parameters and the distance of propagation of the pulse; under the condition when the Hamiltonian of the system is zero. Then, for Gaussian and hyperbolic secant ansatz, we check the validity of the obtained analytical results to describe pulse propagation in optical fiber. As a practical application of our results, we consider the design of the dispersion-managed fiber systems and we derive an analytical expression for the Gordon-Haus jitter.

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