Enhancement of Near Cloaking Using Generalized Polarization Tensors Vanishing Structures. Part I: The Conductivity Problem

The aim of this paper is to provide an original method of constructing very effective near-cloaking structures for the conductivity problem. These new structures are such that their first Generalized Polarization Tensors (GPT) vanish. We show that this in particular significantly enhances the cloaki...

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Bibliographic Details
Published inCommunications in mathematical physics Vol. 317; no. 1; pp. 253 - 266
Main Authors Ammari, Habib, Kang, Hyeonbae, Lee, Hyundae, Lim, Mikyoung
Format Journal Article
LanguageEnglish
Published Berlin/Heidelberg Springer-Verlag 01.01.2013
Subjects
Classical and Quantum Gravitation
Complex Systems
Mathematical and Computational Physics
Mathematical Physics
Physics
Physics and Astronomy
Quantum Physics
Relativity Theory
Theoretical
Multipolar Expansion
Inverse Boundary
Electric Impedance Tomography
Conductivity Distribution
Helmholtz Equation
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Summary:The aim of this paper is to provide an original method of constructing very effective near-cloaking structures for the conductivity problem. These new structures are such that their first Generalized Polarization Tensors (GPT) vanish. We show that this in particular significantly enhances the cloaking effect. We then present some numerical examples of Generalized Polarization Tensors vanishing structures.
ISSN:0010-3616
1432-0916
DOI:10.1007/s00220-012-1615-8