Semi-Analytical Computation of Acoustic Scattering by Spheroids and Disks
This work addresses a practical computational bottleneck for researchers and engineers in acoustics, offering a tool for more accurate simulations, though it is incremental as it builds on known analytical solutions.
The paper tackled the computational difficulty of nonasymptotic analytical solutions for acoustic scattering by spheroids and disks, providing freely available MATLAB software that accurately computes these solutions over a wide range of frequencies and distances.
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.