Spectral Modeling of Difference-Frequency Generation in the Case of Two-Frequency Interaction of Ultrasound Waves

Tyurina, A.V.; Yuldashev, P.V.; Esipov, I.B.; Khokhlova, V.A.

Авторы: Tyurina A.V., Yuldashev P.V., Esipov I.B., Khokhlova V.A.
Журнал: Acoustical Physics
Том: 68
Номер: 2
Год издания: 2022
Издательство: Maik Nauka/Interperiodica Publishing
Местоположение издательства: Russian Federation
Первая страница: 130
Последняя страница: 137
DOI: 10.1134/S1063771022020105
Аннотация: A spectral algorithm is considered for describing nonlinear generation of an acoustic wave of difference frequency formed as the interaction of two high-intensity pump waves close in frequency. To correctly simulate the full wave spectrum involved in such two-frequency interaction, including formation of shock fronts in the acoustic pressure waveform, it is necessary to retain about several thousand spectral components in the numerical algorithm. This paper proposes a method that enables to significantly reduce this number while maintaining the accuracy of calculating the difference-frequency wave field. The method combines the limitation of the high-frequency part of the spectrum and the combination frequencies located between the spectral components that are multiples of frequencies of the initial pump waves. Examples of the interaction of close frequencies typical for the operation of an underwater parametric array are considered in the approximation of the plane one-dimensional wave propagation. It was shown that the method makes it possible to reduce the number of spectral components included in the nonlinear algorithm by more than 100 times and thereby reduce the number of operations by four orders of magnitude. This makes the algorithms for simulating parametric interactions in ultrasound wave fields feasible, including three-dimensional acoustic beams.
Добавил в систему: Юлдашев Петр Викторович

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