A perturbative analysis of dispersion-managed solitons

Sonia Boscolo, Jeroen H.B. Nijhof, Sergei K. Turitsyn

Research output: Contribution to journalArticle

Abstract

We study soliton solutions of the path-averaged propagation equation governing the transmission of dispersion-managed (DM) optical pulses in the (practical) limit when residual dispersion and nonlinearity only slightly affect the pulse dynamics over one compensation period. In the case of small dispersion map strengths, the averaged pulse dynamics is governed by a perturbed form of the nonlinear Schrödinger equation; applying a perturbation theory – elsewhere developed – based on inverse scattering theory, we derive an analytic expression for the envelope of the DM soliton. This expression correctly predicts the power enhancement arising from the dispersion management. Theoretical results are verified by direct numerical simulations.
Original languageEnglish
Pages (from-to)479-485
Number of pages7
JournalPhysica Scripta
Volume62
Issue number6
DOIs
Publication statusPublished - 2000

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Solitons
solitary waves
Dispersion Management
pulses
Scattering Theory
Inverse Scattering
Soliton Solution
Perturbation Theory
Envelope
inverse scattering
Governing equation
Nonlinear Equations
direct numerical simulation
Enhancement
nonlinear equations
Nonlinearity
Propagation
Predict
envelopes
perturbation theory

Cite this

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abstract = "We study soliton solutions of the path-averaged propagation equation governing the transmission of dispersion-managed (DM) optical pulses in the (practical) limit when residual dispersion and nonlinearity only slightly affect the pulse dynamics over one compensation period. In the case of small dispersion map strengths, the averaged pulse dynamics is governed by a perturbed form of the nonlinear Schr{\"o}dinger equation; applying a perturbation theory – elsewhere developed – based on inverse scattering theory, we derive an analytic expression for the envelope of the DM soliton. This expression correctly predicts the power enhancement arising from the dispersion management. Theoretical results are verified by direct numerical simulations.",
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A perturbative analysis of dispersion-managed solitons. / Boscolo, Sonia; Nijhof, Jeroen H.B.; Turitsyn, Sergei K.

In: Physica Scripta, Vol. 62, No. 6, 2000, p. 479-485.

Research output: Contribution to journalArticle

TY - JOUR

T1 - A perturbative analysis of dispersion-managed solitons

AU - Boscolo, Sonia

AU - Nijhof, Jeroen H.B.

AU - Turitsyn, Sergei K.

PY - 2000

Y1 - 2000

N2 - We study soliton solutions of the path-averaged propagation equation governing the transmission of dispersion-managed (DM) optical pulses in the (practical) limit when residual dispersion and nonlinearity only slightly affect the pulse dynamics over one compensation period. In the case of small dispersion map strengths, the averaged pulse dynamics is governed by a perturbed form of the nonlinear Schrödinger equation; applying a perturbation theory – elsewhere developed – based on inverse scattering theory, we derive an analytic expression for the envelope of the DM soliton. This expression correctly predicts the power enhancement arising from the dispersion management. Theoretical results are verified by direct numerical simulations.

AB - We study soliton solutions of the path-averaged propagation equation governing the transmission of dispersion-managed (DM) optical pulses in the (practical) limit when residual dispersion and nonlinearity only slightly affect the pulse dynamics over one compensation period. In the case of small dispersion map strengths, the averaged pulse dynamics is governed by a perturbed form of the nonlinear Schrödinger equation; applying a perturbation theory – elsewhere developed – based on inverse scattering theory, we derive an analytic expression for the envelope of the DM soliton. This expression correctly predicts the power enhancement arising from the dispersion management. Theoretical results are verified by direct numerical simulations.

UR - http://iopscience.iop.org/1402-4896/62/6/007

U2 - 10.1238/Physica.Regular.062a00479

DO - 10.1238/Physica.Regular.062a00479

M3 - Article

VL - 62

SP - 479

EP - 485

JO - Physica Scripta

JF - Physica Scripta

SN - 0031-8949

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