Fast Calculation of Acoustic Field Distribution for Ultrasonic Transducers Using Look-Up Table Method

Abstract

The point source superposition method based on the Rayleigh integral model is time-consuming for calculating the three-dimensional spatial sound field. In this paper, the look-up table method is introduced into the calculation of the acoustic field to reduce the computational effort. Based on the region of synchronous vibration on the transducer, a sub-regional look-up table method is proposed. Simulations demonstrate that both the acoustic field look-up table (ALUT) method and the acoustic field sub-regional look-up table (ASLUT) method have the same acoustic field calculation results as the point source method. Regarding the cost of time, the acoustic field look-up table method takes only one third of the time of the point source method, and the acoustic field sub-region look-up table method takes only one eighteenth of the time of the point source method, with the possibility of further reduction. Both the ALUT and ASLUT methods significantly reduce the calculation time for different types of transducers, which is beneficial for the study of planar sound source devices.