Modeling continuous source distributions in wave-based virtual acoustics
Journal article, 2020

All acoustic sources are of finite spatial extent. In volumetric wave-based simulation approaches (including, e.g., the finite difference time domain method among many others), a direct approach is to represent such continuous source distributions in terms of a collection of point-like sources at grid locations. Such a representation requires interpolation over the grid and leads to common staircasing effects, particularly under rotation or translation of the distribution. In this article, a different representation is shown, based on a spherical harmonic representation of a given distribution. The source itself is decoupled from any particular arrangement of grid points, and is compactly represented as a series of filter responses used to drive a canonical set of source terms, each activating a given spherical harmonic directivity pattern. Such filter responses are derived for a variety of commonly encountered distributions. Simulation results are presented, illustrating various features of such a representation, including convergence, behaviour under rotation, the extension to the time varying case, and differences in computational cost relative to standard grid-based source representations.

spherical harmonics




Stefan Bilbao

University of Edinburgh

Jens Ahrens

Chalmers, Architecture and Civil Engineering, Applied Acoustics

Journal of the Acoustical Society of America

0001-4966 (ISSN) 1520-8524 (eISSN)

Vol. 148 6 3951-3962

Subject Categories

Media and Communication Technology

Other Physics Topics

Communication Systems

Signal Processing

Areas of Advance

Information and Communication Technology





More information

Latest update