3D scattering by multiple cylindrical cavities buried in an elastic formation (Q5942619)

The authors investigate the diffraction which occurs in a homogeneous medium containing buries infinite holes. The source of the field is a dilational point. Such a problem (2-D medium and a 3-D dynamic source) is termed as a \(2{1\over 2}\)-D problem. It can be treated at a moderate computational cost. The boundary element method is used to find the field in a \(2{1\over 2}\)-D structure. The method includes two spatial Fourier transforms in the directoin in which the geometry do not vary. They produce a sequences of 2-D problems with different wavenumbers which are to be solved. Finally, an inverse Fourier transform is applied to the sequence to synthesize the field. The method is validated for a single hole, the case for which a closed solution is available. Then, numerical solutions for cases when no closed solutions are available are performed.