Analytical solutions for diffraction problem of nonlinear acoustic wave beam in the stratified atmosphere

Author

Gusev, Vladimir A. ; Zhostkow, Ruslan A.

Author_Institution

Dept. of Acoust., Lomonosov´´s Moscow State Univ., Moscow, Russia

fYear

2011

fDate

May 30 2011-June 3 2011

Firstpage

83

Lastpage

86

Abstract

The nonlinear wave equation and modified Khokhlov-Zabolotskaya type equation for high intensive acoustics wave beams propagating in stratified atmosphere with inhomogeneous of sound speed is set up. Some approaches to find analytical solutions of this equation are developed. The geometrical acoustics approximation and modified Raley integral for this problem is suggested. The asymptotical procedure is developed for describing of wave profile near the axis of wave beam. This method allows to take into account phase distortion due to diffraction and nonlinear effects and improve the nonlinear geometrical acoustics solution.

Keywords

acoustic wave diffraction; acoustic wave propagation; nonlinear acoustics; wave equations; Raley integral; acoustics wave propagation; diffraction; modified Khokhlov-Zabolotskaya type equation; nonlinear acoustic wave beam; nonlinear geometrical acoustics solution; sound speed; Acoustic beams; Acoustics; Atmospheric modeling; Atmospheric waves; Equations; Mathematical model;

fLanguage

English

Publisher

ieee

Conference_Titel

Days on Diffraction (DD), 2011

Conference_Location

St. Petersburg

Print_ISBN

978-1-4577-1577-8

Type

conf

DOI

10.1109/DD.2011.6094370

Filename

6094370