Scattering of sound by large finite geometries

Diffraction problems with finite geometries do not usually have exact solutions and so asymptotic methods, which require a large or small parameter, are employed to obtain approximate results. This paper presents a formal method for approximating the acoustic potential when the finite length in the geometry is large compared to an acoustic wavelength. The method presented is exactly analogous to other approaches, including the modified Wiener-Hopf technique, but is advantageous because of its relative ease of use and applicability to many problems. This is shown by using the method on problems with resonances and complicated geometries. © 1982 Academic Press Inc. (London) Limited.