Dispersion-Managed Optical Fiber Systems with Zero Hamiltonian

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

Research output: Contribution to conferencePaper

Abstract

The dynamics of nonlinear pulse propagation in optical fibers is governed by the famous nonlinear Schrödinger equation (NLSE), in which the group-velocity dispersion and self-phase modulation form a basic set of optical processes describing a broad range of realistic physical situations. In this work, 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 DM fiber systems and we derive an analytical expression for the Gordon-Haus jitter.
Original languageEnglish
Publication statusPublished - 2008
EventInternational Conference on Computer and Communication Engineering (2008) - Kuala Lumpur, Malaysia
Duration: 13 May 200815 May 2008

Conference

ConferenceInternational Conference on Computer and Communication Engineering (2008)
CountryMalaysia
CityKuala Lumpur
Period13/05/0815/05/08

Fingerprint

optical fibers
pulses
nonlinear equations
propagation
fibers
chirp
group velocity
phase modulation
formalism
vibration

Cite this

Abobaker, A. M., Nakkeeran, K., & Moubissi, A. B. (2008). Dispersion-Managed Optical Fiber Systems with Zero Hamiltonian. Paper presented at International Conference on Computer and Communication Engineering (2008), Kuala Lumpur, Malaysia.

Dispersion-Managed Optical Fiber Systems with Zero Hamiltonian. / Abobaker, Abdosllam Moftah; Nakkeeran, Kaliyaperumal; Moubissi, A.B.

2008. Paper presented at International Conference on Computer and Communication Engineering (2008), Kuala Lumpur, Malaysia.

Research output: Contribution to conferencePaper

Abobaker, AM, Nakkeeran, K & Moubissi, AB 2008, 'Dispersion-Managed Optical Fiber Systems with Zero Hamiltonian' Paper presented at International Conference on Computer and Communication Engineering (2008), Kuala Lumpur, Malaysia, 13/05/08 - 15/05/08, .
Abobaker AM, Nakkeeran K, Moubissi AB. Dispersion-Managed Optical Fiber Systems with Zero Hamiltonian. 2008. Paper presented at International Conference on Computer and Communication Engineering (2008), Kuala Lumpur, Malaysia.
Abobaker, Abdosllam Moftah ; Nakkeeran, Kaliyaperumal ; Moubissi, A.B. / Dispersion-Managed Optical Fiber Systems with Zero Hamiltonian. Paper presented at International Conference on Computer and Communication Engineering (2008), Kuala Lumpur, Malaysia.
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