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

Ildar R Gabitov, Tobias Schäfer, Sergei K. Turitsyn

Research output: Contribution to journalArticle

12 Citations (Scopus)

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 languageEnglish (US)
Pages (from-to)274-281
Number of pages8
JournalPhysics Letters A
Volume265
Issue number4
DOIs
StatePublished - Jan 31 2000
Externally publishedYes

Fingerprint

solitary waves

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

Lie-transform averaging in nonlinear optical transmission systems with strong and rapid periodic dispersion variations. / Gabitov, Ildar R; Schäfer, Tobias; Turitsyn, Sergei K.

In: Physics Letters A, Vol. 265, No. 4, 31.01.2000, p. 274-281.

Research output: Contribution to journalArticle

@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 = "Gabitov, {Ildar R} and Tobias Sch{\"a}fer and Turitsyn, {Sergei K.}",
year = "2000",
month = "1",
day = "31",
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",
issn = "0375-9601",
publisher = "Elsevier",
number = "4",

}

TY - JOUR

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

AU - Gabitov, Ildar R

AU - Schäfer, Tobias

AU - Turitsyn, Sergei K.

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.

UR - http://www.scopus.com/inward/record.url?scp=0034736943&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0034736943&partnerID=8YFLogxK

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

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

M3 - Article

AN - SCOPUS:0034736943

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

SN - 0375-9601

IS - 4

ER -