边界积分方程法求解目标的声散射T矩阵  

Computing T matrix of sound scattering by object using the boundary integral equation method

作　　者：高华[1] 徐海亭[2] 

机构地区：[1]中国科学院声学所声场声信息国家重点实验室,北京100190 [2]中国科学院声学所北海研究站,青岛266023

出　　处：《声学学报》2008年第5期396-401,共6页Acta Acustica

摘　　要：提出了计算任意表面形状刚性边界目标散射的基于边界积分方程的T矩阵方法(TMM-BIE)。利用Helmholtz积分方程法(HIEM)计算目标表面声场,替代扩展边界法(EBCM)计算中对目标表面声场的近似处理,解决了扩展边界法不能计算任意形状目标的散射T矩阵问题。文中计算了刚性边界的球目标、有限长圆柱目标以及非对称的三维散射体——猫眼(cat's-eye)模型的散射指向性和T矩阵。通过与解析解和HIEM结果比较,证明该方法的有效性。A T matrix method based on the boundary integral equation （TMM-BIE） is presented for calculating sound scattering by an arbitrary shape rigid object. In this method, the Helmholtz integral equation method （HIEM） is used to calculate the sound pressure on the surface of object instead of the superposition form of basis functions on the surface in the extended boundary condition method （EBCM）. The problems in calculating T matrix of large aspect ratios and arbitrary shape object by EBCM are solved. The method is proved by comparison of the calculation results of this method and theoretical results or HIEM to calculate the scattering by a rigid sphere, a rigid finite-cylinder, a cat＇s-eye structure.

关 键 词：边界积分方程法 T矩阵方法 声散射 求解 表面声场 三维散射体 有限长圆柱 目标散射 

分 类 号：O175.5[理学—数学] O422.5[理学—基础数学]