Abstract
Acoustic scattering by a system of three identical parallel cylinders, located at the vertices of an equilateral triangle, is theoretically, numerically, and experimentally studied by emphasizing the role of the symmetries of the scatterer. Incident and scattered fields are expanded over the different irreducible representations of C3v, the symmetry group of the scatterer. From the boundary conditions, an infinite set of four linear complex algebraic equations is obtained, where the unknown coefficients of the scattered fields are uncoupled. As a consequence, the form function is calculated for various incidence and observation angles, and the positions of the scatterer resonances are numerically determined in the complex plane of the reduced frequency. New types of resonances appear. A physical interpretation of these resonances by the phase-matching of geometrical and surface waves along closed paths is given by using the geometrical theory of diffraction. These resonances are experimentally observed for elastic cylinders immersed in water. The work is a step toward a complete study of chaos (associated with the system of rays) in the context of multiple scattering.
Published Version
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