Wide-Angle Parabolic Approximation for Modeling High-Intensity Fields from Strongly Focused Ultrasound Transducers
- Authors: Yuldashev P.V.1, Mezdrokhin I.S.1, Khokhlova V.A.1
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Affiliations:
- Physics Faculty
- Issue: Vol 64, No 3 (2018)
- Pages: 309-319
- Section: Nonlinear Acoustics
- URL: https://journals.rcsi.science/1063-7710/article/view/186556
- DOI: https://doi.org/10.1134/S1063771018030168
- ID: 186556
Cite item
Abstract
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.
About the authors
P. V. Yuldashev
Physics Faculty
Author for correspondence.
Email: petr@acs366.phys.msu.ru
Russian Federation, Moscow, 119991
I. S. Mezdrokhin
Physics Faculty
Email: petr@acs366.phys.msu.ru
Russian Federation, Moscow, 119991
V. A. Khokhlova
Physics Faculty
Email: petr@acs366.phys.msu.ru
Russian Federation, Moscow, 119991