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