Title: A fast implementation for computing spatial impulse response of ultrasonic transducers 

Author: DONG Ming; MA Hongwei; ZHANG Guangming; CHEN Yuan; YANG Ping 

Affiliation: School of Mechanical Engineering, Xi'an University of Science and Technology et al. 

Abstract: The spatial impulse response(SIR) method is often used as the "gold standard" in simulation of transient acoustic wave fields due to its high accuracy in the linear domain. However, a high sampling frequency is often required in order to achieve the high accuracy. As a result, a large amount of data has to be processed. In this paper a fast approach for computing spatial impulse response is proposed to reduce the computation burden. The proposed approach is developed by employing the relationship of SIRs at observed points and SIRs of the projection points on the transducer surface. Two critical parameters used in the proposed approach, the calculation sampling frequency and the interpolation sampling frequency, are then analyzed. Results show that for a 2.25 MHz rectangular transducer with the size of 5 mmxlO mm,a calculation sampling frequency of 1000 MHz and an interpolation sampling frequency of500 MHz can achieve superior performance while improving the computation efficiency 18 times than the direct solving.