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The Mode Relation for Open Acoustic Waveguide Terminated by PML with Varied Sound Speed

Jianxin Zhu, Zengsi Chen, Zheqi Shen

Computer Modeling in Engineering & Sciences 2012, 83(5), 547-560. https://doi.org/10.3970/cmes.2012.083.547

Abstract

An acoustic waveguide with continuously varying sound speed is discussed in this paper. When the waveguide is open along the depth, the perfectly matched layer (PML) is used to terminate the infinite domain. Since the sound speed is gradually varied, the density is assumed as constant in each fluid layer. For this waveguide, it is shown that the mode relation is derived by using the differential transfer matrix method (DTMM). To solve leaky and PML modes, Newton's iteration is applied, and Chebyshev pseudospectral method is used for obtaining initial guesses. The solutions are with high accuracy.

Keywords

acoustic waveguide, perfectly matched layer, differential transfer matrix method, Chebyshev pseudospectral method, PML modes, leaky modes.

Cite This Article

Zhu,, J. (2012). The Mode Relation for Open Acoustic Waveguide Terminated by PML with Varied Sound Speed. CMES-Computer Modeling in Engineering & Sciences, 83(5), 547–560.



This work is licensed under a Creative Commons Attribution 4.0 International License , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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