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

• 来源期刊: 中国物理B（英文版）
• 关键词: factorization method planar waveguide inverse scattering problem
• 年，卷（期）: 2018,（10）
• 页码范围: 16-27
• 页数: 12页
• 语种: 英文
• DOI: 10.1088/1674-1056/27/10/100203

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 near-field 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.