| Analytical solutions to the problem of wave scattering from three dimensional structures such as spheres have been studied extensively in the past. However, these solutions are not flexible enough to be extended to wave scattering from arbitrarily-shaped geometries. I have developed a finite-element model of acoustic wave propagation through spherical structures to solve the problem of high frequency (20-60 MHz) acoustic scattering.;The FEMLABRTM software package (COMSOL AB, Stockholm) was used to solve the computational model, and MATLABRTM (Mathworks, Inc., Natick, MA) was used to calculate the analytical solutions. The computational model was verified against analytical solutions of near-field scattering of a high frequency acoustic plane wave incident on fluid, rigid and elastic spherical homogenous objects immersed in water. Overall maximum and average errors of ∼12% and ∼5%, respectively were found between the analytical and finite-element solutions of the pressure field distribution surrounding the spheres. |
