INVERSE SCATTERING PROBLEMS BY SINGULAR SOURCE METHODS  

作　　者：刘继军 

机构地区：[1]Department of Mathematics,Southeast University, Nanjing 210096 PRC

出　　处：《Numerical Mathematics A Journal of Chinese Universities(English Series)》2005年第3期193-207,共15页

基　　金：NSF of China(No.10371018)

摘　　要：The inverse scattering problems are to detect the property of obstacles from the measurements outside the obstacles. One of important research areas in this topic is the recovery of boundary property for impenetrable obstacles. In this paper, we would like to give a brief review about the recently developed singular source methods. There are three different methods in this category, namely, linear sampling method, pointsource method and probe method. We also present some recent new results about the probe method.The inverse scattering problems are to detect the property of obstacles from the measurements outside the obstacles. One of important research areas in this topic is the recovery of boundary property for impenetrable obstacles. In this paper, we would like to give a brief review about the recently developed singular source methods. There are three different methods in this category, namely, linear sampling method, pointsource method and probe method. We also present some recent new results about the probe method.

关 键 词：反转散射 HELMHOLTZ方程 叠加法 边界问题 

分 类 号：O241[理学—计算数学]