Enhanced near-cloak by FSH lining

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• 作者：Hongyu Liu^a ; ^{hongyu.liuip@gmail.com} ; Hongpeng Sun^b ; ¹ ; ^{hpsun@amss.ac.cn}
• 关键词：Acoustic cloaking ; Transformation optics ; FSH lining ; Asymptotic estimates
• 刊名：Journal des Mathematiques Pures et Appliquees
• 出版年：2013
• 出版时间：January, 2013
• 年：2013
• 卷：99
• 期：1
• 页码：17-42
• 全文大小：313 K

文摘

We consider regularized approximate cloaking for the Helmholtz equation. Various cloaking schemes have been recently proposed and extensively investigated. The existing cloaking schemes in literature are (optimally) within in 2D and ¦Ñ in 3D of the perfect cloaking, where ¦Ñ denotes the regularization parameter. In this work, we develop a cloaking scheme with a well-designed lossy layer right outside the cloaked region that can produce significantly enhanced near-cloaking performance. In fact, it is proved that the proposed cloaking scheme could (optimally) achieve in , , within the perfect cloaking. It is also shown that the proposed lossy layer is a finite realization of a sound-hard layer. We work with general geometry and arbitrary cloaked contents of the proposed cloaking device.