, Volume 317, Issue 1, pp 253-266
Date: 11 Nov 2012

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

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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.

Communicated by S. Zelditch
This work was supported by National Institute for Mathematical Sciences (2010 Thematic Program, TP1003), ERC Advanced Grant Project MULTIMOD–267184, Korea Research Foundation through grant KRF-2008-220-C00002, and NRF grants No. 2009-0085987, 2010-0017532, and 2010-0004091, and grants from Inha University.