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.
A method is presented for recovering the impedance coefficient given the P-th Fourier coefficient 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.
出处
《纯粹数学与应用数学》
CSCD
2009年第3期512-520,共9页
Pure and Applied Mathematics
基金
国家自然科学基金(10671155)
关键词
声散射
阻抗系数
P-傅立叶系数
远场模
逼近
the scattered acoustic wave, impedance obstacle, P-th Fourier coefficient, the far field pattern, approximation
