The Uniform geometrical Theory of Diffraction for elastodynamics: Plane wave scattering from a half-plane - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue Journal of the Acoustical Society of America Année : 2015

The Uniform geometrical Theory of Diffraction for elastodynamics: Plane wave scattering from a half-plane

(1) , (1) , , (2)
1
2

Résumé

Diffraction phenomena studied in electromagnetism, acoustics, and elastodynamics are often modeled using integrals, such as the well-known Sommerfeld integral. The far field asymptotic evaluation of such integrals obtained using the method of steepest descent leads to the classical Geometrical Theory of Diffraction (GTD). It is well known that the method of steepest descent is inapplicable when the integrand's stationary phase point coalesces with its pole, explaining why GTD fails in zones where edge diffracted waves interfere with incident or reflected waves. To overcome this drawback, the Uniform geometrical Theory of Diffraction (UTD) has been developed previously in electromagnetism, based on a ray theory, which is particularly easy to implement. In this paper, UTD is developed for the canonical elastodynamic problem of the scattering of a plane wave by a half-plane. UTD is then compared to another uniform extension of GTD, the Uniform Asymptotic Theory (UAT) of diffraction, based on a more cumbersome ray theory. A good agreement between the two methods is obtained in the far field.
Fichier principal
Vignette du fichier
kamtadjakou2015.pdf (935.77 Ko) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)
Loading...

Dates et versions

cea-01753219 , version 1 (07-01-2019)

Identifiants

Citer

A. K. Djakou, A. Darmon, L. Fradkin, Catherine Potel. The Uniform geometrical Theory of Diffraction for elastodynamics: Plane wave scattering from a half-plane. Journal of the Acoustical Society of America, 2015, 138, pp.3272-3281. ⟨10.1121/1.4935020⟩. ⟨cea-01753219⟩
80 Consultations
840 Téléchargements

Altmetric

Partager

Gmail Facebook Twitter LinkedIn More