scholarly journals Propagation of pulsed finite amplitude sound beams in a liquid with strong absorption.

1992 ◽  
Vol 91 (4) ◽  
pp. 2455-2455
Author(s):  
Michalakis A. Averkiou ◽  
Yang‐Sub Lee ◽  
Mark F. Hamilton
Keyword(s):  
Finite Amplitude ◽  
Strong Absorption ◽  
Sound Beams

A more general model equation of nonlinear Rayleigh waves and their quasilinear solutions

2016 ◽  
Vol 30 (08) ◽  
pp. 1650096 ◽  
Author(s):  
Shuzeng Zhang ◽  
Xiongbing Li ◽  
Hyunjo Jeong
Keyword(s):  
Rayleigh Waves ◽  
General Equation ◽  
Wave Motion ◽  
Numerical Solutions ◽  
Second Harmonic ◽  
Approximate Equation ◽  
Finite Amplitude ◽  
Sound Beam ◽  
Quasilinear Theory ◽  
Sound Beams

A more general two-dimensional wave motion equation with consideration of attenuation and nonlinearity is proposed to describe propagating nonlinear Rayleigh waves of finite amplitude. Based on the quasilinear theory, the numerical solutions for the sound beams of fundamental and second harmonic waves are constructed with Green’s function method. Compared with solutions from the parabolic approximate equation, results from the general equation have more accuracy in both the near distance of the propagation direction and the far distance of the transverse direction, as quasiplane waves are used and non-paraxial Green’s functions are obtained. It is more effective to obtain the nonlinear Rayleigh sound beam distributions accurately with the proposed general equation and solutions. Brief consideration is given to the measurement of nonlinear parameter using nonlinear Rayleigh waves.

Propagation and interaction of two collinear finite amplitude sound beams

1987 ◽  
Vol 82 (S1) ◽  
pp. S12-S12
Author(s):  
Jacqueline Naze Tjøtta ◽  
Sigve Tjøtta ◽  
Erlend H. Vefring
Keyword(s):  
Finite Amplitude ◽  
Sound Beams

Analytical method for describing the paraxial region of finite amplitude sound beams

1994 ◽  
Vol 96 (5) ◽  
pp. 3321-3321 ◽  
Author(s):  
Mark F. Hamilton ◽  
Vera A. Khokhlova ◽  
Oleg V. Rudenko
Keyword(s):  
Analytical Method ◽  
Finite Amplitude ◽  
Sound Beams

Numerical modeling of finite-amplitude sound beams: Shock formation in the near field of a cw plane piston source

2001 ◽  
Vol 110 (1) ◽  
pp. 95-108 ◽  
Author(s):  
V. A. Khokhlova ◽  
R. Souchon ◽  
J. Tavakkoli ◽  
O. A. Sapozhnikov ◽  
D. Cathignol
Keyword(s):  
Numerical Modeling ◽  
Near Field ◽  
Finite Amplitude ◽  
Shock Formation ◽  
Sound Beams

THE FURTHER STUDY OF THE SPHEROIDAL BEAM EQUATION FOR FOCUSED FINITE-AMPLITUDE SOUND BEAMS

2003 ◽  
Vol 11 (01) ◽  
pp. 47-54 ◽  
Author(s):  
RONGMIN XIA ◽  
WENDE SHOU ◽  
GUOPING CHENG ◽  
MEIDUN ZHANG
Keyword(s):  
Numerical Simulation ◽  
Parabolic Equation ◽  
Acoustic Field ◽  
High Frequency ◽  
Finite Amplitude ◽  
Beam Equation ◽  
Circular Aperture ◽  
Sound Beams

The spheroidal beam equation (SBE)1 is a parabolic equation, which fits for focused, high-frequency beams from a large circular aperture. Partition of the acoustic field is one of the very important aspects of the SBE. But the criterion of division has not been given. In this paper, the criterion and corresponding numerical simulation are introduced. At the same time, the comparison of the SBE solution with Lucas's parabolic equation is fulfilled.

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