Semi-Analytical Computation of Acoustic Scattering by Spheroids and Disks

TL;DR

This paper introduces MATLAB software for accurately computing nonasymptotic acoustic scattering solutions involving spheroids and disks, overcoming the limitations of special functions in traditional analytical methods.

Contribution

It provides a semi-analytical computational tool for precise acoustic scattering calculations with nonspherical shapes, applicable across various frequencies and distances.

Findings

Software accurately computes scattering solutions

Applicable to a wide frequency range

Freely available MATLAB implementation

Abstract

Analytical solutions to acoustic scattering problems involving nonspherical shapes, such as spheroids and disks, have long been known and have many applications. However, these solutions require special functions that are not easily computable. For this reason, their asymptotic forms are typically used since they are more readily available. We explore these solutions and provide computational software 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 our webpage.