A Simple Calculation Approach for the Parametric Sound Field Generated by a Focused Annular Array: Application to Vibroacoustography

ConclusionThis works shows a computation method for the calculation of the space distribution of the low frequency part of the nonlinear interaction of two strongly focused beams. The approach, based upon the gaussian development of the primary source terms, reduces the calculation to a single integral over a bilinear combination of the source terms. It has been used on multi-element annular arrays in order to predict the volume force distribution that will then act on the propagation media. In our experience, a number of a hundred complex gaussian source terms is enough to give a reasonable precision on the parametric field diagram generated by a tour rings transducer.