Scattering of dislocated wave fronts by vertical vorticity and the Aharonov-Bohm effect. II. Dispersive waves

Abstract : Previous results on the scattering of surface waves by vertical vorticity on shallow water are generalized to the case of dispersive water waves. Dispersion effects are treated perturbatively around the shallow water limit, to first order in the ratio of depth to wavelength. The dislocation of the incident wave front, analogous to the Aharonov-Bohm effect, is still observed. At short wavelengths the scattering is qualitatively similar to the nondispersive case. At moderate wavelengths, however, there are two markedly different scattering regimes according to whether the depth is smaller or larger than ) times capillary length. In the latter case, dispersion and advection may compensate leading to a spiral interference pattern. The dislocation is characterized by a parameter that depends both on phase and group velocity. The validity range of the calculation is the same as in the shallow water case: wavelengths small compared to vortex radius, and low Mach number. The impli- cations of these limitations are carefully considered.
Type de document :
Article dans une revue
Physical Review E , American Physical Society (APS), 1999
Liste complète des métadonnées

https://hal-univ-diderot.archives-ouvertes.fr/hal-01406800
Contributeur : Christophe Coste <>
Soumis le : jeudi 1 décembre 2016 - 15:35:38
Dernière modification le : jeudi 19 avril 2018 - 14:54:04
Document(s) archivé(s) le : mardi 21 mars 2017 - 11:58:10

Fichier

1999_PRE_O+V2.pdf
Fichiers éditeurs autorisés sur une archive ouverte

Identifiants

  • HAL Id : hal-01406800, version 1

Collections

Citation

Christophe Coste, Fernando Lund. Scattering of dislocated wave fronts by vertical vorticity and the Aharonov-Bohm effect. II. Dispersive waves. Physical Review E , American Physical Society (APS), 1999. 〈hal-01406800〉

Partager

Métriques

Consultations de la notice

74

Téléchargements de fichiers

33