Title :
On the problem of nonlinear interaction of uniformly exited finite-amplitude sound beams
Author :
Mishchenko, Victor
Author_Institution :
Inst. of Appl. Problems of Mech. & Math., Acad. of Sci., Lvov, Ukraine
Abstract :
On the basis of the parabolic (quasi-optic) approximation the nonlinear interaction of finite uniformly exited sound beams is investigated. The method of presentation of primary excitation as a superposition of Gaussian beams is used. The effect of the near-field oscillation of amplitude and phase of the primary beams is accounted for. The amplitudes of the difference frequency and second harmonic components in the acoustic beam are analyzed numerically
Keywords :
Gaussian processes; acoustic wave propagation; nonlinear acoustics; Gaussian beams; amplitude; difference frequency; near-field oscillation; nonlinear interaction; parabolic approximation; phase; primary excitation; quasi-optic approximation; second harmonic; uniformly exited finite-amplitude sound beams; Acoustic beams; Acoustic diffraction; Attenuation; Difference equations; Differential equations; Frequency; Harmonic analysis; Laplace equations; Mathematics; Nonlinear equations;
Conference_Titel :
Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory, 1998. DIPED-98. Proceedings of III International Seminar/Workshop on
Conference_Location :
Tbilisi
Print_ISBN :
966-02-0621-6
DOI :
10.1109/DIPED.1998.730960
