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A Fast Field Simulation Method for Longitudinal Ultrasound Wave Propagation and Transmission in Homogeneous and Layered Media

机译:纵向超声波传播和均相分层介质中传输的快速现场仿真方法

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A fast Rayleigh-Sommerfeld integral-based method was presented in this paper to speed up acoustic field simulation using a modified summation scheme. Partitioning source aperture with uniform large patches instead of simple sources, the modified summation scheme outperformed the conventional simple source based approach by both reducing the number of source-field interaction pairs and reusing the beam directivity of a single source patch. This modified scheme, along with Snell's law, could also facilitate wave transmission simulation in layered media. Using the fast method with patches of one wavelength dimension, the axial and lateral intensity distribution of a circular piston and a spherical cap transducer were calculated at least 20 times faster than did the conventional approach and retained numerical accuracy in near and far fields, with 2% and 5% root mean square error (RMSE) of their theoretical counterparts, respectively. Numerical examples of transmitted beam in a tissue-mimicking medium further demonstrated the efficiency and accuracy of the method. The modified scheme achieved at least 4 times computational time speed-up and had no more than 5% RMSE in comparison with the conventional approach. The fast field simulation method should be useful in transducer design and beam-forming investigation in therapeutic ultrasound applications and other scenarios where efficiency of transmitting acoustic field simulations is critical.
机译:本文提出了一种快速的Rayleigh-Sommerfeld基于积分的方法,以加快修改的求和方案加速声场仿真。用均匀的大贴片而不是简单源的分区源光圈,修改的求和方案通过减少源场交互对的数量并重用单个源修补程序的波束方向性来表现出基于传统的简单源的方法。这种修改的方案以及Snell的定律还可以促进层状介质中的波传输仿真。使用具有一个波长尺寸的贴片的快速方法,圆形活塞和球形盖传感器的轴向和横向强度分布比传统方法速度快至少20倍,并在附近和远场保持数值准确性,2分别为其理论对应物的%和5%均方根误差(RMSE)。组织模拟介质中透射光束的数值示例进一步证明了该方法的效率和准确性。与传统方法相比,修饰方案至少实现了至少4倍的计算时间加速,并且不超过5%的RMSE。快速现场仿真方法应在治疗超声应用中的换能器设计和光束形成调查中,以及传输声场模拟的效率至关重要。

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