Modeling of parametric loudspeakers by Gaussian-beam expansion technique

A quasi-linear analytical solution based on the Gaussian-beam expansion technique is used to model the parametric array. The axial sound pressure levels and the beam pattern of the primary and difference frequency waves of a compact hexagonal array, a spaced hexagonal array and a conventional square array consisting of circular elements are calculated. For comparison, a square piston source with equal radiation area is considered as well. Simulation results show that the beam patterns of the difference frequency sound of four sources are almost the same. The compact hexagonal array is more efficient than the square array because of higher axial sound pressure levels of the difference frequency sound.