Modeling of Shock Wave Generated from a Strong Focused Ultrasound Transducer

Abstract

A combined time and frequency domain method is developed for the calculation of a shock wave induced by a strong focused ultrasound transducer in the oblate spheroidal coordinate system. The spheroidal beam equation (SBE) is utilized to describe the nonlinear sound propagation; the diffraction and attenuation effects are calculated in the frequency-domain, while the nonlinear effect is calculated in the time-domain. Compared with the traditional frequency-domain method, this method could calculate the shock wave effectively without oscillation at the shock front and with less computation time. When the harmonic number is 200, the computation time by this method is about 1/16 of that used by the traditional frequency-domain method.