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(SB...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.展开更多
基金Supported by the National Basic Research Program of China under Grant No 2011CB707900the National Natural Science Foundation of China under Grant Nos 81127901,11174141,81227004,11204144 and 11161120324+2 种基金the Natural Science Foundation of Jiangsu Province under Grant Nos BE2011110 and BK2012226the National High-Technology Research and Development Program of China under Grant No 2012AA022700the State Key Laboratory of Acoustics of Chinese Academy Sciences.
文摘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.
