ABSTRACT
The ultrasonic pressure field in front of a circular transducer along the central axis is first computed using three techniques – analytical, semi-analytical Distributed Point Source Method (DPSM) and numerical finite element method – and compared. The semi-analytical results obtained by the DPSM technique and the numerical results obtained from the finite element analysis using COMSOL are compared with the theoretical results. Since T. J. Mellow’s solution is only an approximate solution the slight mismatch between the DPSM solution and Mellow’s solution in the near field does not imply presence of any computational error in the DPSM solution in the near field. In the DPSM formulation it is possible to introduce various levels of sophistication in the solution process for different dimensions of the cavity. The DPSM formulation discussed so far is based on the steady-state Green’s functions. Implementation of DPSM requires evaluation of Green’s function between many pairs of source and target points.
