At high internal Froude number, wake-generated internal waves do not contain information on the initial conditions and wake quantities can be rescaled according to the momentum. At lower Froude numbers (Fr<4), body-generated waves have relatively higher amplitudes and potentially contain information about the body geometry. Here we investigate the emission and propagation of internal waves from a non-compact source through a uniform density gradient in a bounded container. Theoretical wave fields are calculated from the superposition of discrete eigenmodes of the linearized equations of motion. Solutions may be computed for both near and far fields and for finite bodies. Lines of constant phase are compared with experimental data in horizontal planes above towed bodies of different shapes. The question as to whether the body geometry can be deduced from the observed wave field will be addressed.