Extension of the Method of Normal Modes to Sound Propagation in an Almost‐Stratified Medium

1965 ◽  
Vol 37 (1) ◽  
pp. 19-27 ◽  
Author(s):  
Allan D. Pierce
Keyword(s):  
Sound Propagation ◽  
Normal Modes ◽  
Stratified Medium

scholarly journals A Chebyshev-Tau spectral method for normal modes of underwater sound propagation with a layered marine environment

2021 ◽  
Vol 492 ◽  
pp. 115784
Author(s):  
Houwang Tu ◽  
Yongxian Wang ◽  
Qiang Lan ◽  
Wei Liu ◽  
Wenbin Xiao ◽  
...  
Keyword(s):  
Spectral Method ◽  
Marine Environment ◽  
Sound Propagation ◽  
Normal Modes ◽  
Underwater Sound

Range‐dependent normal modes in underwater sound propagation: Application to the wedge‐shaped ocean

1975 ◽  
Vol 58 (6) ◽  
pp. 1171-1177 ◽  
Author(s):  
R. D. Graves ◽  
Anton Nagl ◽  
H. Überall ◽  
G. L. Zarur
Keyword(s):  
Sound Propagation ◽  
Normal Modes ◽  
Underwater Sound

A DEDISPERSION TRANSFORM FOR SOUND PROPAGATION IN SHALLOW WATER WAVEGUIDE

2010 ◽  
Vol 18 (03) ◽  
pp. 245-257 ◽  
Author(s):  
DA ZHI GAO ◽  
NING WANG ◽  
HAO ZHONG WANG
Keyword(s):  
Fourier Transform ◽  
Data Processing ◽  
Shallow Water ◽  
Sound Propagation ◽  
Normal Modes ◽  
Real Data ◽  
Present Approach ◽  
Dispersive Effect

For sound propagation in a shallow water waveguide, a dedispersion transform which can remove the dispersive effect of signal is described in this paper. The transform is a modified Fourier transform with two variables: translation and dispersion. Dispersive effect of signal for normal modes can be removed when these two variables match to real parameters. The validity of the present approach is verified in simulation and real data processing.

scholarly journals Improving the Performance of Mode-Based Sound Propagation Models by Using Perturbation Formulae for Eigenvalues and Eigenfunctions

2021 ◽  
Vol 9 (9) ◽  
pp. 934
Author(s):  
Alena Zakharenko ◽  
Mikhail Trofimov ◽  
Pavel Petrov
Keyword(s):  
Sound Propagation ◽  
Underwater Acoustics ◽  
Computational Cost ◽  
Normal Modes ◽  
Sound Field ◽  
Field Calculation ◽  
Combined Model ◽  
Eigenvalues And Eigenfunctions ◽  
Propagation Models ◽  
Area Of Interest

Numerous sound propagation models in underwater acoustics are based on the representation of a sound field in the form of a decomposition over normal modes. In the framework of such models, the calculation of the field in a range-dependent waveguide (as well as in the case of 3D problems) requires the computation of normal modes for every point within the area of interest (that is, for each pair of horizontal coordinates x,y). This procedure is often responsible for the lion’s share of total computational cost of the field simulation. In this study, we present formulae for perturbation of eigenvalues and eigenfunctions of normal modes under the water depth variations in a shallow-water waveguide. These formulae can reduce the total number of mode computation instances required for a field calculation by a factor of 5–10. We also discuss how these formulae can be used in a combination with a wide-angle mode parabolic equation. The accuracy of such combined model is validated in a series of numerical examples.

Underwater sound propagation described by range‐dependent normal modes

1975 ◽  
Vol 57 (S1) ◽  
pp. S64-S64
Author(s):  
R. Graves ◽  
A. Nagl ◽  
H. Überall ◽  
G. Zarur
Keyword(s):  
Sound Propagation ◽  
Normal Modes ◽  
Underwater Sound
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