Lie-transform averaging in nonlinear optical transmission systems with strong and rapid periodic dispersion variations

Ildar Gabitov; Tobias Schäfer; Sergei K. Turitsyn

doi:10.1016/S0375-9601(99)00901-9

Lie-transform averaging in nonlinear optical transmission systems with strong and rapid periodic dispersion variations

Ildar Gabitov, Tobias Schäfer, Sergei K. Turitsyn

Research output: Contribution to journal › Article › peer-review

12 Scopus citations

Abstract

Using Lie-transform techniques, we derive higher-order corrections to the path-averaged model governing evolution of dispersion-managed solitons in the spectral domain. The result holds in the case of arbitrary (including moderate and strong) dispersion. The general theory is illustrated by deriving the exact formulas + for a specific symmetric dispersion map. (C) 2000 Published by Elsevier Science B.V.

Original language	English (US)
Pages (from-to)	274-281
Number of pages	8
Journal	Physics Letters, Section A: General, Atomic and Solid State Physics
Volume	265
Issue number	4
DOIs	https://doi.org/10.1016/S0375-9601(99)00901-9
State	Published - Jan 31 2000
Externally published	Yes

ASJC Scopus subject areas

General Physics and Astronomy

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10.1016/S0375-9601(99)00901-9

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@article{cc60af01ec95434e82078b551df9491c,

title = "Lie-transform averaging in nonlinear optical transmission systems with strong and rapid periodic dispersion variations",

abstract = "Using Lie-transform techniques, we derive higher-order corrections to the path-averaged model governing evolution of dispersion-managed solitons in the spectral domain. The result holds in the case of arbitrary (including moderate and strong) dispersion. The general theory is illustrated by deriving the exact formulas + for a specific symmetric dispersion map. (C) 2000 Published by Elsevier Science B.V.",

author = "Ildar Gabitov and Tobias Sch{\"a}fer and Turitsyn, {Sergei K.}",

note = "Funding Information: We are grateful to Sergei Burtsev for many critical suggestions and essential discussions. This work was supported in part (I.G.) by DOE Contract W-7-405-ENG-36 and by the DOE Program in Applied Mathematical Sciences, KJ-01-01.",

year = "2000",

month = jan,

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doi = "10.1016/S0375-9601(99)00901-9",

language = "English (US)",

volume = "265",

pages = "274--281",

journal = "Physics Letters, Section A: General, Atomic and Solid State Physics",

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TY - JOUR

T1 - Lie-transform averaging in nonlinear optical transmission systems with strong and rapid periodic dispersion variations

AU - Gabitov, Ildar

AU - Schäfer, Tobias

AU - Turitsyn, Sergei K.

N1 - Funding Information: We are grateful to Sergei Burtsev for many critical suggestions and essential discussions. This work was supported in part (I.G.) by DOE Contract W-7-405-ENG-36 and by the DOE Program in Applied Mathematical Sciences, KJ-01-01.

PY - 2000/1/31

Y1 - 2000/1/31

N2 - Using Lie-transform techniques, we derive higher-order corrections to the path-averaged model governing evolution of dispersion-managed solitons in the spectral domain. The result holds in the case of arbitrary (including moderate and strong) dispersion. The general theory is illustrated by deriving the exact formulas + for a specific symmetric dispersion map. (C) 2000 Published by Elsevier Science B.V.

AB - Using Lie-transform techniques, we derive higher-order corrections to the path-averaged model governing evolution of dispersion-managed solitons in the spectral domain. The result holds in the case of arbitrary (including moderate and strong) dispersion. The general theory is illustrated by deriving the exact formulas + for a specific symmetric dispersion map. (C) 2000 Published by Elsevier Science B.V.

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U2 - 10.1016/S0375-9601(99)00901-9

DO - 10.1016/S0375-9601(99)00901-9

M3 - Article

AN - SCOPUS:0034736943

SN - 0375-9601

VL - 265

SP - 274

EP - 281

JO - Physics Letters, Section A: General, Atomic and Solid State Physics

JF - Physics Letters, Section A: General, Atomic and Solid State Physics

IS - 4

ER -

Lie-transform averaging in nonlinear optical transmission systems with strong and rapid periodic dispersion variations

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