Factorization method for inverse obstacle scattering problem in three-dimensional planar acoustic waveguides

作     者：Xue Qin 秦雪

作者机构：School of Mathematical SciencesPeking UniversityBeijing 100871China 

出 版 物：《Chinese Physics B》 (中国物理B（英文版）)

年 卷 期：2018年第27卷第10期

页      面：130-140页

核心收录：

学科分类：082403[工学-水声工程] 08[工学] 0805[工学-材料科学与工程（可授工学、理学学位）] 0824[工学-船舶与海洋工程] 0704[理学-天文学] 

基　　金：Project supported by the National Natural Science Foundation of China(Grant Nos.61421062 and 61520106004) the Microsoft Research Fund of Asia 

主　　题：factorization method planar waveguide inverse scattering problem 

摘      要：In this paper, we consider the inverse scattering problem of reconstructing a bounded obstacle in a three-dimensional planar waveguide from the scattered near-field data measured on a finite cylindrical surface containing the obstacle and corresponding to infinitely many incident point sources also placed on the measurement surface. The obstacle is allowed to be an impenetrable scatterer or a penetrable scatterer. We establish the validity of the factorization method with the nearfield data to characterize the obstacle in the planar waveguide by constructing an outgoing-to-incoming operator which is an integral operator defined on the measurement surface with the kernel given in terms of an infinite series.