Spheroidal ambisonics: Spatial audio in spheroidal bases.

Ambisonics is an established framework to capture and reproduce spatial sound fields based on the spherical harmonics representation [Gerzon (1973). J. Audio Eng.

Multiple scattering ambisonics: Three-dimensional sound field estimation using interacting spheres.

Rigid spherical microphone arrays (RSMAs) have been widely used in ambisonics [Gerzon (1973). J. Audio Eng.

Fast multipole accelerated boundary element methods for room acoustics.

Direct and indirect boundary element methods, accelerated via the fast multipole method, are applied to numerical simulation of room acoustics for rooms of volume ∼150 m and frequencies up to 5 kHz on a workstation. As the parameter kD (wavenumber times room diameter) is large, stabilization of the previously developed fast algorithms is required for accuracy. A stabilization scheme is one of the key contributions of this paper.

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.

Hierarchical () computation of small-angle scattering profiles and their associated derivatives.

The need for fast approximate algorithms for Debye summation arises in computations performed in crystallography, small/wide-angle X-ray scattering and small-angle neutron scattering. When integrated into structure refinement protocols these algorithms can provide significant speed up over direct all-atom-to-all-atom computation. However, these protocols often employ an iterative gradient-based optimization procedure, which then requires derivatives of the profile with respect to atomic coordinates.