Quasilinear Approximation for Modeling Difference-Frequency Acoustic Wave in a Diffracting Pump-Wave Beam

A. V. Tyurina; Тюрина А. В.; P. V. Yuldashev; Юлдашев П. В.; I. B. Esipov; Есипов И. Б.; V. A. Khokhlova; Хохлова В. А.

doi:10.31857/S0320791922600275

Quasilinear Approximation for Modeling Difference-Frequency Acoustic Wave in a Diffracting Pump-Wave Beam

Authors: Tyurina A.V.¹, Yuldashev P.V.¹, Esipov I.B.², Khokhlova V.A.¹
Affiliations:
1. Physics Faculty, Moscow State University, 119991, Moscow, Russia
2. Gubkin Russian State University of Oil and Gas, 119991, Moscow, Russia
Issue: Vol 69, No 1 (2023)
Pages: 22-31
Section: 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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Abstract

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.

Keywords

difference frequency, quasilinear approach, diffraction

References

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