Analytical solution for the diffraging intense gaussian beam in the framework of a modular nonlinearity model

V. A. Gusev; Гусев В. А.; D. A. Zharkov; Жарков Д. А.

doi:10.31857/S0367676522701071

Analytical solution for the diffraging intense gaussian beam in the framework of a modular nonlinearity model

Authors: Gusev V.A.¹, Zharkov D.A.¹
Affiliations:
1. Lomonosov Moscow State University
Issue: Vol 87, No 4 (2023)
Pages: 604-608
Section: Articles
URL: https://rjpbr.com/0367-6765/article/view/654443
DOI: https://doi.org/10.31857/S0367676522701071
EDN: https://elibrary.ru/MDVEYB
ID: 654443

Cite item

Full Text

Open Access
Restricted Access

Access granted
Restricted Access

Subscription or Fee Access

Abstract
About the authors
References
Supplementary files
Statistics

Abstract

A model of modular nonlinearity has been developed for calculating the field of high-intensity bounded acoustic beams. The exact solution of this problem is obtained. The influence of diffraction and nonlinear effects on the time profile is demonstrated. It is shown that as the aperture decreases, a sequence of short positive high-amplitude pulses is formed, which was observed experimentally.

About the authors

V. A. Gusev

Lomonosov Moscow State University

Author for correspondence.
Email: vgusev@bk.ru
Russia, 119991, Moscow

D. A. Zharkov

Lomonosov Moscow State University

Email: vgusev@bk.ru
Russia, 119991, Moscow

References

Чупова Д.Д., Росницкий П.Б., Гаврилов Л.Р., Хохлова В.А. // Акуст. журн. 2022. Т. 68. № 1. С. 3; Chupova D.D., Rosnitskiy P.B., Gavrilov L.R., Khokhlova V.A. // Acoust. Phys. 2022. V. 68. No. 1. P. 1.
Гаврилов Л.Р., Сапожников О.А., Хохлова В.А. // Изв. РАН. Сер. физ. 2015. Т. 79. № 10. С. 1386; Gavrilov L.R., Sapozhnikov O.A., Khokhlova V.A. // Bull. Russ. Acad. Sci. Phys. 2015. V. 79. No. 10. P. 1232.
Васильева О.А., Лапшин Е.А., Руденко О.В. // Акуст. журн. 2019. Т. 65. № 1. С. 3; Vasil’eva O.A., Lapshin E.A., Rudenko O.V. // Acoust. Phys. 2019. V. 65. No. 1. P. 23.
Руденко О.В. // Изв. вузов. Прикл. нелин. динамика. 2018. Т. 26. № 3. С. 7.
Гурбатов С.Н., Вьюгин П.Н., Дерябин М.С. и др. // Акуст. журн. 2021. Т. 67. № 3. С. 235; Gurbatov S.N., Vyugin P.N., Deryabin M.S. et al. // Acoust. Phys. 2021. V. 67. No. 3. P. 237.
Rudenko O.V., Hedberg C.M. // Nonlinear Dynamics. 2017. V. 89. P. 1905–1913.
Руденко О.В. // ДАН. 2017. Т. 475. № 5. С. 503; Rudenko O.V. // Dokl. Math. V. 96. No. 1. P. 399.
Гусев В.А. // В кн.: Труды Всероссийской акустической конференции. СПб.: Политех-Пресс, 2020. С. 101.