ETA Expressions for the High Frequency Impedance of a Uniformly Pulsating Submerged Torus

Abstract

The present abstract was motivated by the search for clean yet nontrivial benchmark problems for wave propagation and scattering in an infinite acoustic medium. The submerged sphere, cylinder and disk illustrate important aspects of scattering and radiation while admitting complete analytical solutions. These three classical configurations are thus indispensable part of any set of benchmark problems.