A Green’s Function for Acoustic Problems in Pekeris Waveguide Using a Rigorous Image Source Method
Source abstract
Abstract
The Green’s function (GF) directly eases the efficient computation for acoustic radiation problems in shallow water with the use of the Helmholtz integral equation. The difficulty in solving the GF in shallow water lies in the need to consider the boundary effects. In this paper, a rigorous theoretical model of interactions between the spherical wave and the liquid boundary is established by Fourier transform. The accurate and adaptive GF for the acoustic problems in the Pekeris waveguide with lossy seabed is derived, which is based on the image source method (ISM) and wave acoustics. First, the spherical wave is decomposed into plane waves in different incident angles. Second, each plane wave is multiplied by the corresponding reflection coefficient to obtain the reflected sound field, and the field is superposed to obtain the reflected sound field of the spherical wave. Then, the sound field of all image sources and the physical source are summed to obtain the GF in the Pekeris waveguide. The results computed by this method are compared with the standard wavenumber integration method, which verifies the accuracy of the GF for the near- and far-field acoustic problems. The influence of seabed attenuation on modal interference patterns is analyzed.
Source: crossref · Quality: baseline
Research context
OpenAlex topics: Underwater Acoustics Research · Acoustic Wave Phenomena Research · Electromagnetic Scattering and Analysis
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
Affiliations
School of Marine Science and Technology, Tianjin University, Tianjin 300072, China
College of Underwater Acoustics Engineering, Harbin Engineering University, Harbin 150001, China
Systems Engineering Research Institute, Beijing 100036, China
Funding
National Key Research and Development Program of China · National Natural Science Foundation of China
References (26)
Show source-provided references
1. Marburg, S., and Nolte, B. (2008). Computational Acoustics of Noise Propagation in Fluids—Finite and Boundary Element Methods, Springer.10.1007/978-3-540-77448-8 ↗
2. Application of the Helmholtz Integral in Acoustics10.1115/1.3269369 ↗
3. Riley, K.F., Hobson, M.P., and Bence, S.J. (2006). Mathematical Methods for Physics and Engineering, Cambridge University Press. [3rd ed.].10.1017/CBO9780511810763 ↗
4. Okoyenta, A.R., Wu, H., Liu, X., and Jiang, W. (2020). A short survey on green’s function for acoustic problems. J. Theor. Comput. Acoust., 28.10.1142/S2591728519500257 ↗
5. A refined wideband acoustical holography based on equivalent source method10.1038/srep43458 ↗
6. Reconstruction of vibroacoustic fields in half-space by using hybrid near-field acoustical holography
7. An interpolated time-domain equivalent source method for modeling transient acoustic radiation over a mass-like plane based on the transient half-space Green’s function10.1016/j.wavemoti.2014.07.010 ↗
8. Rotating beamforming-Motion-compensation in the frequency domain and application of high-resolution beamforming algorithms10.1016/j.jsv.2013.11.031 ↗
9. Ultrasonic field modeling in plates immersed in fluid10.1016/j.ijsolstr.2007.02.011 ↗
10. Backward waves and energy fluxes excited in acoustic medium with an immersed plate10.1016/j.ultras.2018.10.001 ↗
11. A method of images for a penetrable acoustic waveguide10.1121/1.1523082 ↗
12. Sound absorption of a double-leaf micro-perforated panel with an air-back cavity and a rigid-back wall: Detailed analysis with a Helmholtz–Kirchhoff integral formulation10.1016/j.apacoust.2009.11.014 ↗
13. Application of the Fast Multipole Bem for Structural–Acoustic Simulations10.1142/S0218396X05002578 ↗
14. Underwater measurement of source level in waveguides using equivalent source method10.1121/1.4989364 ↗
15. The application of three-dimensional hydroelastic analysis of ship structures in pekeris hydro-acoustic waveguide environment10.1007/s10409-013-0096-0 ↗
16. Integrated calculation method of acoustic radiation and propagation for floating bodies in shallow water10.1121/1.5039415 ↗
17. Range dependent sediment sound speed profile measurements using the image source method10.1121/1.4809681 ↗
18. A normal mode model for acousto-elastic ocean environments10.1121/1.417226 ↗
19. A relationship between the waveguide invariant and wavenumber integration10.1121/1.3453768 ↗
20. Wide-angle mode parabolic equations for the modelling of horizontal refraction in underwater acoustics and their numerical solution on unbounded domains10.1016/j.jsv.2020.115526 ↗
21. Paul, C.E. (2003). Underwater Acoustic Modeling and Simulation, Spon Press. [3rd ed.].
22. Jensen, F.B., Kuperman, W.A., Porter, M.B., Schmidt, H., and Bartram, J.F. (2011). Computational Ocean Acoustics, Springer.10.1007/978-1-4419-8678-8 ↗
23. Brekhovskikh, L.M. (1980). Waves in Layered Media, Academic Press. [2nd ed.].
24. Diffraction of a spherical wave by a hard half-plane: Approximation of the edge field in the frequency domain10.1121/1.5087702 ↗
25. Katsnelson, B., Petnikov, V., and Lynch, J. (2012). Fundamentals of Shallow Water Acoustics, Springer.10.1007/978-1-4419-9777-7 ↗
26. Fast computation of seabed spherical-wave reflection coefficients in geoacoustic inversion10.1121/1.4930186 ↗