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Université de Provence - Aix-Marseille I Hyper Articles en Ligne |
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Université de Provence - Aix-Marseille I Hyper Articles en Ligne |
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| HAL : hal-00386055, version 1 |
| DOI : 10.1088/1464-4258/10/12/125101 |
| Fiche détaillée |  Récupérer au format |
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| Journal of Optics A: Pure and Applied Optics 10 (2008) 125101 |
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| Spatial Kerr solitons in optical fibres of finite size cross section: beyond the Townes soliton |
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Fabien Drouart 1G. Renversez 1 |
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| (2008) |
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| We propose a new and efficient numerical method to find spatial solitons in optical fibres with a nonlinear Kerr effect including microstructured ones. A nonlinear non-paraxial scalar model of the electric field in the fibre is used (nonlinear Helmholtz equation) and an iterative algorithm is proposed to obtain the nonlinear solutions using the finite element method. The field is supposed to be harmonic in time and along the direction of invariance of the fibre but inhomogeneous in the cross section. In our approach, we solve a nonlinear eigenvalue problem in which the propagation constant is the eigenvalue. Several examples dealing with step-index fibres and microstructured optical fibres with a finite size cross section are described. In each geometry, a single self-coherent nonlinear solution is obtained. This solution, which also depends on the size of the structure, is different from the Townes soliton—but converges towards it at small wavelengths. |
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| 1 : | Institut FRESNEL (IF) |
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CNRS : UMR6133 – Université de Provence - Aix-Marseille I – Université Paul Cézanne - Aix-Marseille III – Ecole Centrale de Marseille |
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| Domaine | : | Physique/Physique/Optique Science non linéaire/Formation de Structures et Solitons |
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| solitons spatiaux – effet Kerr – fibres optiques microstructurées – optique nonlinéaire – solutions auto-chohérentes – soliton de Townes – méthode des éléments finis |
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| hal-00386055, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00386055 | |
| oai:hal.archives-ouvertes.fr:hal-00386055 | |
| Contributeur : G. Renversez | |
| Soumis le : Mercredi 20 Mai 2009, 15:46:10 | |
| Dernière modification le : Jeudi 8 Avril 2010, 13:58:27 | |
