Quasilinear Approximation for Modeling Difference-Frequency Acoustic Wave in a Diffracting Pump-Wave Beam
- Autores: Tyurina A.1, Yuldashev P.1, Esipov I.2, Khokhlova V.1
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Afiliações:
- Physics Faculty, Moscow State University, 119991, Moscow, Russia
- Gubkin Russian State University of Oil and Gas, 119991, Moscow, Russia
- Edição: Volume 69, Nº 1 (2023)
- Páginas: 22-31
- Seção: НЕЛИНЕЙНАЯ АКУСТИКА
- URL: https://journals.rcsi.science/0320-7919/article/view/134374
- DOI: https://doi.org/10.31857/S0320791922600275
- EDN: https://elibrary.ru/DAKTTI
- ID: 134374
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Resumo
A quasilinear approach is considered to simulate generation of a difference-frequency acoustic wave by the interaction of two intense high-frequency diffracting pump beams with close frequencies. The boundary condition corresponds to dual-frequency excitation of an existing parametric source used for underwater research. It is shown that the linear field of primary waves has a high directivity with a total beam divergence angle of several degrees; therefore, the nonlinear-diffraction problem is solved numerically in the parabolic approximation. The pump wave field is calculated in the linear approximation; the solutions obtained at each step of the numerical grid along the beam axis are used to calculate nonlinear sources in the equation for a three-dimensional difference-frequency beam. The one- and two-dimensional distributions of the pressure field and the directivity pattern are analyzed for three values of a difference frequency. Numerical solutions obtained with realistic boundary conditions at the source and description of diffraction effects are compared with the known approximate analytical results for the quasilinear approach.
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Sobre autores
A. Tyurina
Physics Faculty, Moscow State University, 119991, Moscow, Russia
Email: tiurina.av@physics.msu.ru
Россия, 119991, ГСП-1, Москва, Ленинские горы
P. Yuldashev
Physics Faculty, Moscow State University, 119991, Moscow, Russia
Email: tiurina.av@physics.msu.ru
Россия, 119991, ГСП-1, Москва, Ленинские горы
I. Esipov
Gubkin Russian State University of Oil and Gas, 119991, Moscow, Russia
Email: tiurina.av@physics.msu.ru
Россия, 119991, Москва, Ленинский проспект 65
V. Khokhlova
Physics Faculty, Moscow State University, 119991, Moscow, Russia
Autor responsável pela correspondência
Email: tiurina.av@physics.msu.ru
Россия, 119991, ГСП-1, Москва, Ленинские горы
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