An approximate factorization method for inverse medium scattering with unknown buried objects. (7th February 2017)

• Record Type: Journal Article
• Authors: Qu, Fenglong; Yang, Jiaqing; Zhang, Bo
• Is Part Of: Inverse problems. Volume 33:Number 3(2017:Mar.)
• Publication Date: 2017-02-07
• Subjects: inverse scattering -- approximate factorization method -- far-field operator -- inhomogeneous medium -- buried objects; Inverse problems (Differential equations) -- Periodicals; 515.357
• DOI: 10.1088/1361-6420/aa58d8
• Languages: English
• ISSNs: 0266-5611

Abstract

Abstract: This paper is concerned with the inverse problem of scattering of time-harmonic acoustic waves by an inhomogeneous medium with different kinds of unknown buried objects inside. By constructing a sequence of operators which are small perturbations of the far-field operator in a suitable way, we prove that each operator in this sequence has a factorization satisfying the Range Identity. We then develop an approximate factorization method for recovering the support of the inhomogeneous medium from the far-field data. Finally, numerical examples are provided to illustrate the practicability of the inversion algorithm.