Abstract
We investigate the 'singular sources method' (SSM) for the reconstruction of 3D scattering obstacles with sound-soft, sound-hard or impedance boundary condition. The task of this work is the proof of concept for the 'numerical feasibility' of the SSM for reconstructions of 3D objects in acoustics. To our knowledge, these are the first numerical results for the SSM in three dimensions. In particular, we will show reconstructions for different geometric objects for which the boundary condition is not needed to be known in the reconstruction scheme.