淡水湖泊水下未知物体形状的反演  

Reconstruction of the Shape of Unknown Obstacles in Freshwater

作　　者：庄弘炜[1] 马逸尘[1] 张志斌[1] 王健[1] 

机构地区：[1]西安交通大学理学院,陕西西安710049

出　　处：《计算物理》2004年第1期54-60,共7页Chinese Journal of Computational Physics

基　　金：国家自然科学基金(NSF50136030)资助项目

摘　　要：　将逆散射问题转化为由远场算子F、测试远场数据f和未知物体边界Γ构成的算子方程F(Γ)=f.利用Levenberg Marquardt方法和A.Kirsh引入的F在Γ上导数,求解该方程,从而确定未知物体边界Γ.The inverse scattering problem is converted to an operator equation F(Γ)=f, which consists of the far field operator F, the measured far field data f and the shape Γ of the unknown obstacle. Using the Levenberg\|Marquardt method and the derivative of F on Γ, introduced by A. Kirsh, this equation is solved and the shape Γ is determined. The numerical results show that this algorithm is practical and efficient.

关 键 词：淡水湖泊 区域导数 逆散射 算子方程 HELMHOLTZ方程 格林公式 最小二乘法 Hankel函数 

分 类 号：O427.2[理学—声学]