Approximation by multipoles of the multiple acoustic scattering by small obstacles and application to the Foldy theory of isotropic scattering. - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue Archive for Rational Mechanics and Analysis Année : 2016

Approximation by multipoles of the multiple acoustic scattering by small obstacles and application to the Foldy theory of isotropic scattering.

Résumé

The asymptotic analysis, carried out in this paper, for the problem of a multiple scattering of a time-harmonic wave by obstacles whose size is small as compared with the wavelength establishes that the effect of the small bodies can be approximated at any order of accuracy by the field radiated by point sources. Among other issues, this asymptotic expansion of the wave furnishes a mathematical justification with optimal error estimates of Foldy's method that consists in approximating each small obstacle by a point isotropic scatterer. Finally, it is shown how this theory can be further improved by adequately locating the center of phase of the point scatterers and taking into account of self-interactions.
Fichier principal
Vignette du fichier
bendali_foldy_model.pdf (314.85 Ko) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)
Loading...

Dates et versions

hal-01025436 , version 1 (18-07-2014)

Identifiants

Citer

Abderrahmane Bendali, Pierre-Henri Cocquet, Sébastien Tordeux. Approximation by multipoles of the multiple acoustic scattering by small obstacles and application to the Foldy theory of isotropic scattering.. Archive for Rational Mechanics and Analysis, 2016, 219 (3), pp.1017-1059. ⟨10.1007/s00205-015-0915-5⟩. ⟨hal-01025436⟩
594 Consultations
250 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More