Bifurcation and Stability Analysis of Parabolic Ray Equations for Acoustic Wave Propagation in an Underwater Sound Channel

1995 ◽  
Author(s):  
Marian Wiercigroch ◽  
Mohsen Badiey ◽  
Jeffrey Simmen ◽  
Alexander H.-D. Cheng
Keyword(s):  
Wave Propagation ◽  
Acoustic Wave ◽  
Wave Length ◽  
Single Mode ◽  
Ray Theory ◽  
Underwater Sound ◽  
Acoustic Wave Propagation ◽  
Sound Channel ◽  
Underwater Sound Channel ◽  
Bifurcation And Stability

Abstract The non-linear dynamic behavior of acoustic wave propagation in underwater sound channel is studied by a parabolic ray theory using Munk’s sound speed profile. The Hamiltonian system of the ray trajectory is forced by a single mode sinusoidal internal wave. The amplitude and wave length of this excitation are used in a bifurcation analysis. The regions of instability are located by numerical simulations and visualized through a sequence of phase diagrams and Poincaré maps.

The “shadow” from a velocity reversal

1974 ◽  
Vol 64 (1) ◽  
pp. 25-32
Author(s):  
M. Hron ◽  
C. H. Chapman
Keyword(s):  
Wave Propagation ◽  
Acoustic Wave ◽  
Exponential Decay ◽  
Decay Constant ◽  
Ray Theory ◽  
Acoustic Wave Propagation ◽  
Velocity Reversal

abstract The “shadow” from an Epstein “sech2” profile is caused by exponential decay of amplitude. The decay constant, which is independent of frequency, is identical with that obtained from the classical ray theory. The spectral amplitudes and theoretical seismograms evaluated numerically show the effect of the reversal on the acoustic wave propagation.

Acoustic wave propagation in two dimensional sheared ducted flows

1997 ◽  
Author(s):  
E. Longatte ◽  
P. Lafon ◽  
S. Candel ◽  
E. Longatte ◽  
P. Lafon ◽  
...  
Keyword(s):  
Wave Propagation ◽  
Acoustic Wave ◽  
Two Dimensional ◽  
Acoustic Wave Propagation

Investigations on the influence CuO doping on elastic properties of Li2SO4–MgO–P2O5 glass system by means of acoustic wave propagation

2021 ◽  
Vol 330 ◽  
pp. 114270
Author(s):  
A. Venkata Sekhar ◽  
A.V. Kityk ◽  
J. Jedryka ◽  
P. Rakus ◽  
A. Wojciechowski ◽  
...  
Keyword(s):  
Wave Propagation ◽  
Acoustic Wave ◽  
Elastic Properties ◽  
Glass System ◽  
Acoustic Wave Propagation
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