On connections between boundary integral equations and T-matrix methods

摘要

Acoustic scattering by three-dimensional obstacles is considered, using boundary integral equations, null-field equations and the T-matrix. Connections between these techniques are explored. It is shown that solving a boundary integral equation by a particular Petrov-Gaierkin method leads to the same algebraic system as obtained from the null-field equations. It is also emphasised that the T-matrix can be constructed by solving boundary integral equations rather than by solving the null-field equations.