Comptes Rendus
no. 1
Wave chaos techniques to analyze a modeled reverberation chamber
[Quelques techniques du chaos ondulatoire appliquées à une chambre réverbérante]
Gérard Orjubin1  ; Elodie Richalot2  ; Odile Picon2  ; Olivier Legrand3
1 Université française d'Egypte, ville de Chorouq, Km 37 autoroute Le Caire-Ismaïlia, B.P. 21, Le Caire, Egypte
2 Université Paris-Est, ESYCOM, EA2552, bâtiment Copernic, 5, boulevard Descartes, 77454 Marne-la-Vallée, France
3 Laboratoire de physique de la matière condensée, CNRS-UMR 6622, Université de Nice-Sophia Antipolis, parc Valrose, 06108 Nice cedex 2, France
Comptes Rendus. Physique, Volume 10 (2009) no. 1, pp. 42-53.

Une chambre réverbérante (CR) est étudiée grâce à quelques techniques du chaos ondulatoire. Ses 200 premiers modes, déterminés numériquement, permettent de vérifier que la statistique des écarts entre fréquences de résonance voisines dépend du caractère chaotique de la CR, et que les fluctuations du nombre cumulé de modes sont associées aux orbites périodiques. En outre les distributions des champs propres sont étudiées et comparées au cas idéal gaussien pour deux géométries de CR. Enfin la notion de croisement évité est illustrée, propriété des systèmes chaotiques ayant une importante conséquence sur les perturbations provoquées par le brasseur sur les fréquences de résonance.

A Reverberation Chamber (RC) is analyzed with techniques issued from the wave chaos domain. The first 200 modes are determined numerically: their cumulated number is separated into a smooth part, predicted by the Weyl formula, and an oscillating part, interpreted in term of periodic orbits. The technique of the nearest-neighbor spacing distribution is also presented, showing the signature of chaos. Eigenfield distributions are examined for two RC geometries and compared to the Gaussian ideal case. Finally, the notion of avoided crossing is illustrated for an almost chaotic RC, leading to a statement for frequency sweeps induced by the stirrer displacement.

Publié le :
DOI : 10.1016/j.crhy.2009.01.001
Keywords: Reverberation chamber, Modal finite element method, Quantum chaos, Electromagnetic cavity
Mot clés : Chambre réverbérante, Analyse modale, Méthode des éléments finis, Chaos quantique, Cavité électromagnétique
Gérard Orjubin 1 ; Elodie Richalot 2 ; Odile Picon 2 ; Olivier Legrand 3

1 Université française d'Egypte, ville de Chorouq, Km 37 autoroute Le Caire-Ismaïlia, B.P. 21, Le Caire, Egypte
2 Université Paris-Est, ESYCOM, EA2552, bâtiment Copernic, 5, boulevard Descartes, 77454 Marne-la-Vallée, France
3 Laboratoire de physique de la matière condensée, CNRS-UMR 6622, Université de Nice-Sophia Antipolis, parc Valrose, 06108 Nice cedex 2, France 
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Gérard Orjubin; Elodie Richalot; Odile Picon; Olivier Legrand. Wave chaos techniques to analyze a modeled reverberation chamber. Comptes Rendus. Physique, Volume 10 (2009) no. 1, pp. 42-53. doi : 10.1016/j.crhy.2009.01.001. https://comptes-rendus.academie-sciences.fr/physique/articles/10.1016/j.crhy.2009.01.001/

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