基于Linear Sampling方法的二维可穿透区域反演  

Inversion of two dimensional penetrable objects base on Linear Sampling method

作　　者：管金友[1] 王连堂[2] 

机构地区：[1]铜陵学院基础教育系,安徽铜陵244000 [2]西北大学数学系,陕西西安710069

出　　处：《纯粹数学与应用数学》2008年第1期114-120,共7页Pure and Applied Mathematics

摘　　要：提出用时间调和声散射远场信息来反演二维可穿透目标的一种Linear Sampling方法,通过提取包含可穿透目标的一个样本区域的支集的点列来实现反演的,因为其在区域内与区域外有显著的不同取值,由此而获得区域的逼近.这个算法特别吸引人之处是不需关于障碍物的任何先验信息.并且只需散射场在某个有限孔径中的部分远场信息,即可获得穿透区域的一个逼近.一些数值算例保证了这个反演算法是有效的和实用的.The main purpose of this paper is to give the Linear Sampling method for inversion a second dimensional penetrable objects from a knowledge of far-field data for time-harmonic acoustic scattered waves, the proposed scheme is achieved by extracting the support of dots on a sampling domain containing the penetrable object as an unknown object. A particular feature of the scheme is that it does not need any prior knowledge about the geometry and physical properties of the penetrable scatterer. Some numerical examples based on synthetic far field data are given showing the practicality and efficiency of the inversion approach.

关 键 词：声波散射 线性抽样 可穿透目标 

分 类 号：O29[理学—应用数学]