Wide-Angle Parabolic Approximation for Modeling High-Intensity Fields from Strongly Focused Ultrasound Transducers

被引:0
|
作者
P. V. Yuldashev
I. S. Mezdrokhin
V. A. Khokhlova
机构
[1] Moscow State University,Physics Faculty
来源
Acoustical Physics | 2018年 / 64卷
关键词
focusing; diffraction; nonlinear waves; parabolic approximation; wide-angle parabolic approximation; Westervelt equation; medical acoustics; ultrasound surgery;
D O I
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中图分类号
学科分类号
摘要
A novel numerical algorithm based on the wide-angle parabolic approximation is developed for modeling linear and nonlinear fields generated by axially symmetric ultrasound transducers. An example of a strongly focused single-element transducer is used to compare the results of ultrasound field simulations based on the Westervelt equation, Khokhlov–Zabolotskaya–Kuznetsov (KZK) equation with differently modified boundary condition, and nonlinear wide-angle parabolic equation. It is demonstrated that having a computational speed comparable to modeling the KZK equation, the use of wide-angle parabolic approximation makes it possible to obtain solutions for highly focused ultrasound beams that are closer in accuracy to solutions based on the Westervelt equation.
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页码:309 / 319
页数:10
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