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

doi:10.1088/1674-1056/27/10/100203

中国物理B ›› 2018, Vol. 27 ›› Issue (10): 100203-100203.doi: 10.1088/1674-1056/27/10/100203

• SPECIAL TOPIC—Recent advances in thermoelectric materials and devices • 上一篇下一篇

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

Xue Qin(秦雪)

School of Mathematical Sciences, Peking University, Beijing 100871, China

收稿日期:2018-05-11 修回日期:2018-08-14 出版日期:2018-10-05 发布日期:2018-10-05
通讯作者: Xue Qin E-mail:qinxue0406@pku.edu.cn
基金资助:
Project supported by the National Natural Science Foundation of China (Grant Nos. 61421062 and 61520106004) and the Microsoft Research Fund of Asia.

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

Xue Qin(秦雪)

School of Mathematical Sciences, Peking University, Beijing 100871, China

Received:2018-05-11 Revised:2018-08-14 Online:2018-10-05 Published:2018-10-05
Contact: Xue Qin E-mail:qinxue0406@pku.edu.cn
Supported by:
Project supported by the National Natural Science Foundation of China (Grant Nos. 61421062 and 61520106004) and the Microsoft Research Fund of Asia.

摘要/Abstract

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.

关键词: factorization method, planar waveguide, inverse scattering problem

Abstract:

Key words: factorization method, planar waveguide, inverse scattering problem

中图分类号: (Inverse problems)

02.30.Zz

02.30.Tb (Operator theory)

秦雪. Factorization method for inverse obstacle scattering problem in three-dimensional planar acoustic waveguides[J]. 中国物理B, 2018, 27(10): 100203-100203.

Xue Qin(秦雪). Factorization method for inverse obstacle scattering problem in three-dimensional planar acoustic waveguides[J]. Chin. Phys. B, 2018, 27(10): 100203-100203.

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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

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