Comptes Rendus
no. 1
Optical telecommunications/Les télécommunications optiques
Physics and mathematics of dispersion-managed optical solitons
[Physique et mathématique des solitons optiques managés en dispersion]

Présenté par : Guy Laval

Sergei K. Turitsyn1  ; Elena G. Shapiro2 ; Sergei B. Medvedev3 ; Mikhail P. Fedoruk3 ; Vladimir K. Mezentsev1
1 Photonics Research group, Aston University, Birmingham, B4 7ET, UK
2 Institute of Automation and Electrometry, SB Russian Academy of Science, 630090, Novosibirsk, Russia
3 Institute of Computational Technologies, SB Russian Academy of Science, 630090, Novosibirsk, Russia
Comptes Rendus. Physique, Volume 4 (2003) no. 1, pp. 145-161.

We review the main physical and mathematical properties of dispersion-managed (DM) optical solitons. Theory of DM solitons can be presented at two levels of accuracy: first, simple, but nevertheless, quantitative models based on ordinary differential equations governing evolution of the soliton width and phase parameter (the so-called chirp); and second, a comprehensive path-average theory that is capable of describing in detail both the fine structure of DM soliton form and its evolution along the fiber line. An analogy between DM soliton and a macroscopic nonlinear quantum oscillator model is also discussed.

Nous passons en revue les principales propriétés physiques et mathématiques des solitons dits managés par la dispersion (DM). La théorie des solitions DM peut être développée selon deux niveaux de précision : le premier relève de modèles simples, mais toutefois quantitatifs, tels que basés sur des équations différentielles ordinaires gouvernant les deux paramètres solitons que sont la largeur temporelle et la phase (le soit-disant ‘chirp’ ou dérive temporelle de fréquence) ; le deuxième relève d'une théorie poussée de cheminement-moyen, laquelle est en mesure de décrire en détail et la structure fine de l'enveloppe du soliton DM, et son évolution tout au long de la ligne de fibre. Nous présentons également une discussion sur une analogie entre le DM soliton et un modèle d'oscillateur quantique non-linéaire à l'échelle macroscopique.

Reçu le :
Publié le :
DOI : 10.1016/S1631-0705(03)00008-2
Keywords: Optical soliton, Fiber communications, Dispersion-management
Mots-clés : Solitons optiques, Communications à fibres optiques, Management de dispersion

Sergei K. Turitsyn 1 ; Elena G. Shapiro 2 ; Sergei B. Medvedev 3 ; Mikhail P. Fedoruk 3 ; Vladimir K. Mezentsev 1

1 Photonics Research group, Aston University, Birmingham, B4 7ET, UK
2 Institute of Automation and Electrometry, SB Russian Academy of Science, 630090, Novosibirsk, Russia
3 Institute of Computational Technologies, SB Russian Academy of Science, 630090, Novosibirsk, Russia 
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Sergei K. Turitsyn; Elena G. Shapiro; Sergei B. Medvedev; Mikhail P. Fedoruk; Vladimir K. Mezentsev. Physics and mathematics of dispersion-managed optical solitons. Comptes Rendus. Physique, Volume 4 (2003) no. 1, pp. 145-161. doi : 10.1016/S1631-0705(03)00008-2. https://comptes-rendus.academie-sciences.fr/physique/articles/10.1016/S1631-0705(03)00008-2/

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  • Boris A. Malomed; Rodislav Driben Complexity and stability of soliton management in periodically modulated and random systems, Complexity, Volume 13 (2008) no. 4, p. 38 | DOI:10.1002/cplx.20207
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