| 声波导中的局部正交变换 |
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| 作者姓名： | ZhuJianxin |
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| 作者单位： | Dept.ofMath.,ZhejiangUniv.,Hangzhou310027. |
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| 基金项目： | 浙江省自然科学基金,教育部博士基金,198016,1999033516,, |
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| 摘 要： | 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 uxx uzz k^2(x,z)u=0 is transformed to Vxx αVzz βVz γV=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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| 关 键 词： | 局部正交变换 Helmholtz波导 曲线界面 声波 |
| 收稿时间： | 28 March 2000 |
Local orthogonal transformation for acoustic waveguide |
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| ZhuJianxin.Local orthogonal transformation for acoustic waveguide[J].Applied Mathematics A Journal of Chinese Universities,2000,15(4):443-452. |
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| Authors: | Zhu Jianxin |
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| Institution: | (1) Dept. of Math., Zhejiang Univ., 310027 Hangzhou |
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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
. Numerical results demonstrate that the transformation is more feasible. This transformation is particularly useful for the
research on wave propagation in acoustic waveguide.
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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| Keywords: | acoustic waveguide multilayer medium |
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