[Physique et mathématique des solitons optiques managés en dispersion]
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.
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.
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Mot clés : Solitons optiques, Communications à fibres optiques, Management de dispersion
@article{CRPHYS_2003__4_1_145_0,
author = {Sergei K. Turitsyn and Elena G. Shapiro and Sergei B. Medvedev and Mikhail P. Fedoruk and Vladimir K. Mezentsev},
title = {Physics and mathematics of dispersion-managed optical solitons},
journal = {Comptes Rendus. Physique},
pages = {145--161},
publisher = {Elsevier},
volume = {4},
number = {1},
year = {2003},
doi = {10.1016/S1631-0705(03)00008-2},
language = {en},
}
TY - JOUR AU - Sergei K. Turitsyn AU - Elena G. Shapiro AU - Sergei B. Medvedev AU - Mikhail P. Fedoruk AU - Vladimir K. Mezentsev TI - Physics and mathematics of dispersion-managed optical solitons JO - Comptes Rendus. Physique PY - 2003 SP - 145 EP - 161 VL - 4 IS - 1 PB - Elsevier DO - 10.1016/S1631-0705(03)00008-2 LA - en ID - CRPHYS_2003__4_1_145_0 ER -
%0 Journal Article %A Sergei K. Turitsyn %A Elena G. Shapiro %A Sergei B. Medvedev %A Mikhail P. Fedoruk %A Vladimir K. Mezentsev %T Physics and mathematics of dispersion-managed optical solitons %J Comptes Rendus. Physique %D 2003 %P 145-161 %V 4 %N 1 %I Elsevier %R 10.1016/S1631-0705(03)00008-2 %G en %F CRPHYS_2003__4_1_145_0
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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