Bidimensional study of the Maxwell-Bloch model in a nonlinear crystal
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | SAUT, Olivier | |
| dc.date.accessioned | 2024-04-04T03:14:44Z | |
| dc.date.available | 2024-04-04T03:14:44Z | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/194085 | |
| dc.description.abstractEn | This article presents a numerical scheme for a model ([5]) of electro- magnetic wave propagation in a nonlinear optical crystal in two dimensions in space. It uses Maxwell's equations to describe the wave field and Bloch's equations for the medium at the quantum-mechanical level. We have al- ready described the discretization of the model in the unidimensional case in [14]. In this paper, we discretize the model in the bidimensional case, while ensuring a scheme of order 2. Finally, several numerical simulations are performed. We insist on physical effects that could not be observed with an unidimensional model. | |
| dc.language.iso | en | |
| dc.subject | Optique non linéaire | |
| dc.subject | Géneration d'harmonique | |
| dc.title.en | Bidimensional study of the Maxwell-Bloch model in a nonlinear crystal | |
| dc.type | Document de travail - Pré-publication | |
| dc.subject.hal | Mathématiques [math]/Analyse numérique [math.NA] | |
| dc.subject.hal | Physique [physics]/Physique [physics]/Optique [physics.optics] | |
| dc.subject.hal | Mathématiques [math]/Equations aux dérivées partielles [math.AP] | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| hal.identifier | hal-00131950 | |
| hal.version | 1 | |
| hal.audience | Non spécifiée | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-00131950v1 | |
| bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.au=SAUT,%20Olivier&rft.genre=preprint |
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