The linear sampling method for inhomogeneous medium and buried objects from far field measurements

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• 作者：Haihua Qin^a ; ^{qinhaihua526@163.com" class="auth_mail" title="E-mail the corresponding author} ; Xiaodong Liu^b ; ^{xdliu@amt.ac.cn" class="auth_mail" title="E-mail the corresponding author}
• 关键词：Inverse acoustic scattering ; Linear sampling method ; Mixed reciprocity principle ; Inhomogeneous background ; Buried object
• 刊名：Applied Numerical Mathematics
• 出版年：2016
• 出版时间：July 2016
• 年：2016
• 卷：105
• 期：Complete
• 页码：82-95
• 全文大小：1183 K

文摘

We are concerned with the reconstruction of both the penetrable inhomogeneous medium and the buried impenetrable obstacle. Firstly, the classical linear sampling method is used to recover the support of the inhomogeneous medium, and then a modification of the linear sampling method is proposed for objects buried in a known layered medium. The main feature of our method is that it avoids using knowledge of the Green's function for the background media. Finally, some numerical experiments are presented to demonstrate the feasibility and effectiveness of our method.