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• W2342281170 abstract "This paper is concerned with the invisibility cloaking in acoustic wave scattering from a new perspective. We are especially interested in achieving the invisibility cloaking by completely regular and isotropic mediums. It is shown that an interior transmission eigenvalue problem arises in our study, which is the one considered theoretically in cite{CCH}. Based on such an observation, we propose a cloaking scheme that takes a three-layer structure including a cloaked region, a lossy layer and a cloaking shell. The target medium in the cloaked region can be arbitrary but regular, whereas the mediums in the lossy layer and the cloaking shell are both regular and isotropic. We establish that if a certain non-transparency condition is satisfied, then there exists an infinite set of incident waves such that the cloaking device is nearly-invisible under the corresponding wave interrogation. The set of waves is generated from the Herglotz-approximation of the associated interior transmission eigenfunctions. We provide both theoretical and numerical justifications." @default.
• W2342281170 created "2016-06-24" @default.
• W2342281170 creator A5037381745 @default.
• W2342281170 creator A5085340844 @default.
• W2342281170 date "2016-04-19" @default.
• W2342281170 modified "2023-09-26" @default.
• W2342281170 title "On isotropic cloaking and interior transmission eigenvalue problems" @default.
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• W2342281170 doi "https://doi.org/10.48550/arxiv.1604.05498" @default.
• W2342281170 hasPublicationYear "2016" @default.
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