Acoustic scattering from two parallel soft cylinders

Abstract

The scattered field due to two parallel circular cylinders illuminated by a plane wave is formulated in terms of outgoing cylindrical waves emanating from each cylinder. Dirichlet boundary conditions are enforced on each cylindrical surface. Graf's addition theorem for cylindrical harmonics makes possible the closed-form evaluation of the coefficients in two infinite, coupled sets of linear equations for the unknown modal coefficients. Resultant far scattered fields in the frequency domain are graphed for several geometries and plane wave incidence angles. The effects of coupling between cylinders are studied via a comparison between far-field scatter computed by this accurate method and a noninteracting sum of the isolated cylinder responses.<>