Sound Field Calculation for Underwater Acoustic Projecting Transducer Array of Arbitrary Shape

2006 ◽  
Author(s):  
He Zhengyao ◽  
Ma Yuanliang ◽  
Jiang Wei ◽  
Zhang Yipeng
Keyword(s):  
Arbitrary Shape ◽  
Sound Field ◽  
Field Calculation ◽  
Transducer Array ◽  
Underwater Acoustic

Sound field calculation for a circular array transducer

1989 ◽  
Vol 86 (S1) ◽  
pp. S20-S20 ◽  
Author(s):  
Chankil Lee ◽  
Intaek Kim ◽  
Paul J. Benkeser
Keyword(s):  
Sound Field ◽  
Field Calculation ◽  
Circular Array ◽  
Array Transducer

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.

Research on Simulation of Array Directivity Based on MATLAB

2013 ◽  
Vol 694-697 ◽  
pp. 2360-2363
Author(s):  
Hong Jin Xiong ◽  
Bing Cheng Yuan ◽  
Hao Ke Zhan ◽  
Yin Bo Luo ◽  
Long Long Fan
Keyword(s):  
Mathematical Model ◽  
Transducer Array ◽  
Underwater Acoustic ◽  
Accurate Expression ◽  
The Mathematical Model

According to the theory of underwater acoustic spread and circular piston transducer array, the mathematical model for the directivity of array is created. By means of MATLAB, the accurate expression method for the figure of array directivity is studied, and the characteristic and difference of the simulation curve in various direction are analyzed. It is shown by the application that, to a certain extent, the conclusion has practical value and guide meaning for the directivity simulation and design of the array.

This Submission is for Special Issue on Underwater Acoustics: Perfectly Matched Layer Technique for Parabolic Equation Models in Ocean Acoustics

2017 ◽  
Vol 25 (01) ◽  
pp. 1650021 ◽  
Author(s):  
Chuan-Xiu Xu ◽  
Sheng-Chun Piao ◽  
Shi-E Yang ◽  
Hai-Gang Zhang ◽  
Li Li
Keyword(s):  
Parabolic Equation ◽  
Half Space ◽  
Numerical Solutions ◽  
Underwater Acoustics ◽  
Sound Field ◽  
Bottom Layer ◽  
Perfectly Matched Layer ◽  
Ocean Bottom ◽  
Field Calculation ◽  
Absorbing Layer

In ocean waveguides, the ocean bottom is usually approximated as a half-space. Thus, there exist no reflection waves at the half-space bottom and condition of radiation at infinity should be satisfied. In numerical solutions like parabolic equation methods, the depth domain has to be truncated, which can generate reflection waves from the truncated ocean bottom. To reduce the effect of reflection waves and to simulate an unbounded ocean bottom accurately, an artificial absorbing layer (ABL) was used. As was demonstrated, an ABL meets well the demand of accuracy in sound field calculation. However, both the sea-bottom layer and the artificial absorbing layer are needed to be set quite thick by using an ABL technique. Fortunately, a PML with several wavelengths can keep similar calculation accuracy with an ABL with dozens of wavelengths. In this paper, perfectly matched layer (PML) techniques for three parabolic equation (PE) models RAM, RAMS and a three-dimensional PE model in underwater acoustics are presented. A key technique of PML “complex coordinate stretching” is used to truncate unbounded domains and to simulate infinity radiation conditions instead of the ABL in those models. The numerical results illustrate that the PML technique is of higher efficiency than the ABL technique at truncating the infinity domain with minimal spurious reflections in PE models.

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