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Local orthogonal transformation for acoustic waveguide

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Abstract

In this paper, a local orthogonal transformation is created to transform the Helmholtz waveguide with curved interface to the one with a flat interface within the two-layer medium, and the Helmholtz equation u xx + u zz + κ 2 (x,z)u = 0 is transformed to \(V_{\dot x\dot x} + \alpha V_{\dot z\dot z} + \beta V_{\dot z} + \gamma V = 0\). Numerical results demonstrate that the transformation is more feasible. This transformation is particularly useful for the research on wave propagation in acoustic waveguide.

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Authors and Affiliations

  1. Dept. of Math., Zhejiang Univ., 310027, Hangzhou

    Zhu Jianxin

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  1. Zhu Jianxin
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Supported by the Natural Science Foundation of Zhejiang Province (198016) and the Doctoral Fund of the Education Ministry of China (1999033516)

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Jianxin, Z. Local orthogonal transformation for acoustic waveguide. Appl. Math. Chin. Univ. 15, 443–452 (2000). https://doi.org/10.1007/s11766-000-0042-3

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  • DOI: https://doi.org/10.1007/s11766-000-0042-3

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