Semi-Analytical Computation of Acoustic Scattering by Spheroids and Disks

Analytical solutions to acoustic scattering problems involving spheroids and disks have long been known and have many applications. However, these solutions require special functions that are not easily computable. Therefore, their asymptotic forms are typically used instead since they are more readily available. In this paper, these solutions are explored, and computational software is provided for calculating their nonasymptotic forms, which are accurate over a wide range of frequencies and distances. This software, which runs in MATLAB, computes the solutions to acoustic scattering problems involving spheroids and disks by semi-analytical means, and is freely available from the authors' webpage.