ACOUSTIC SCATTERING BY TWO SPHERES: MULTIPLE SCATTERING AND SYMMETRY CONSIDERATIONS

✍ Scribed by P. GABRIELLI; M. MERCIER-FINIDORI

• Book ID: 102608380
• Publisher: Elsevier Science
• Year: 2001
• Tongue: English
• Weight: 331 KB
• Volume: 241
• Category: Article
• ISSN: 0022-460X
• DOI: 10.1006/jsvi.2000.3309

✦ Synopsis

Acoustic scattering by two identical spheres is theoretically, numerically and experimentally studied by highlighting the role of the symmetries of the scatterer. Incident and scattered "elds are expanded over the di!erent irreducible representations of D F , the continuous symmetry group of the scatterer. Then, from the boundary conditions, one obtains for each irreducible representation an in"nite system of linear complex algebraic equations where the unknown scattering coe$cients are uncoupled. This feature greatly simpli"es the treatment of the problem and speeds up calculations. Far"eld form functions are computed in the cases of Neumann boundary conditions (rigid spheres) and elastic boundary conditions (elastic spheres immersed in water). A series of experiments based on ultrasonic spectroscopy is performed in the case of two stainless-steel spheres immersed in water. The comparison between the theoretical and the experimental results provides quite a good agreement.