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.
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Original Russian Text © P.V. Yuldashev, I.S. Mezdrokhin, V.A. Khokhlova, 2018, published in Akusticheskii Zhurnal, 2018, Vol. 64, No. 3, pp. 318–329.
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Yuldashev, P.V., Mezdrokhin, I.S. & Khokhlova, V.A. Wide-Angle Parabolic Approximation for Modeling High-Intensity Fields from Strongly Focused Ultrasound Transducers. Acoust. Phys. 64, 309–319 (2018). https://doi.org/10.1134/S1063771018030168
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DOI: https://doi.org/10.1134/S1063771018030168