ALGEBRAIC ASPECTS OF MULTIPLE SCATTERING BY TWO PARALLEL CYLINDERS: CLASSIFICATION AND PHYSICAL INTERPRETATION OF SCATTERING RESONANCES
✍ Scribed by Y. Decanini; A. Folacci; P. Gabrielli; J.-L. Rossi
- Publisher
- Elsevier Science
- Year
- 1999
- Tongue
- English
- Weight
- 239 KB
- Volume
- 221
- Category
- Article
- ISSN
- 0022-460X
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✦ Synopsis
Acoustic scattering by a pair of identical parallel cylinders is studied by emphasizing the role of the symmetries of the scatterer. Incident and scattered ®elds are expanded over the dierent irreducible representations of g 2v , the symmetry group of the scatterer. Then, from the boundary conditions, one obtains an in®nite set of four linear complex algebraic equations (each one associated with a representation) where the unknown coecients of the scattered ®elds are uncoupled. This method signi®cantly simpli®es the numerical treatment of the problem. As a consequence, positions of the scatterer resonances are determined in the complex plane of the reduced frequency and a partial algebraic classi®cation of the resonances is obtained for various boundary conditions (soft cylinders, hard cylinders and elastic cylinders immersed in water). A physical interpretation of certain resonances in terms of trapped geometrical paths is provided.