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

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

Abstract

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.

Keywords: factorization method planar waveguide inverse scattering problem

Received: 11 May 2018
Revised: 14 August 2018
Accepted manuscript online:

PACS:	02.30.Zz	(Inverse problems)
	02.30.Tb	(Operator theory)

Fund:

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

Corresponding Authors: Xue Qin
E-mail: qinxue0406@pku.edu.cn

Cite this article:

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

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

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