Acoustic scattering and the exact Green function

Abstract

Acoustic waves are scattered by a bounded three-dimensional sound-soft obstacle. The scattered field can be given explicitly in terms of the exact Green function, defined as the solution of the scattering problem when the incident waves are generated by a point source. Methods for constructing the exact Green function are described, with emphasis on a recent paper by Rother and Hawkins [J. Acoust. Soc. Am. 149, 2179–2188 (2021)]. These methods include boundary integral equations and null-field equations.