| 利用散射波远场模第P个傅立叶系数重建声波阻尼系数 |
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| 引用本文： | 薛琳娜,管金友.利用散射波远场模第P个傅立叶系数重建声波阻尼系数[J].纯粹数学与应用数学,2009,25(3):512-520. |
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| 作者姓名： | 薛琳娜 管金友 |
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| 作者单位： | 薛琳娜(延安大学物理与电子信息学院,陕西,延安,716000);管金友(铜陵学院基础系,安徽,铜陵,244000) |
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| 摘 要： | 阐述了利用声波散射远场模Fourier展开的第P个傅立叶系数（声散射远场模的不完全信息），重建声阻抗系数的一种非线性最优化方法．并给出了该方法收敛性的证明，其数值例子说明这种方法的有效性和可行性．
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| 关 键 词： | 声散射 阻抗系数 P-傅立叶系数 远场模 逼近 |
Recover the acoustic wave impedance coeffcient from the P-th Fourier coeffcient of the far field pattern |
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| XUE Lin-na ,GUAN Jin-you.Recover the acoustic wave impedance coeffcient from the P-th Fourier coeffcient of the far field pattern[J].Pure and Applied Mathematics,2009,25(3):512-520. |
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| Authors: | XUE Lin-na GUAN Jin-you |
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| Institution: | XUE Lin-na 1,GUAN Jin-you 2 (1.College of Physics , Electronic Information,Yanan University,Yanan 716000,China,2.Foundemental Department,Tongling University,Tongling 244000,China) |
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| Abstract: | A method is presented for recovering the impedance coeffcient given the P-th Fourier coeffcient of the far field pattern of the scattered wave. The convergence of this method is proven.Numerical examples are given showing that this method is also accurate. |
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| Keywords: | the scattered acoustic wave impedance obstacle P-th Fourier coeffcient the far field pattern approximation |
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