Enhancement of Near Cloaking Using Generalized Polarization Tensors Vanishing Structures. Part I: The Conductivity Problem
Mathematical Physics
2015-05-27 v1 math.MP
Abstract
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 vanish. We show that this in particular significantly enhances the cloaking effect. We then present some numerical examples of Generalized Polarization Tensors vanishing structures.
Keywords
Cite
@article{arxiv.1104.3936,
title = {Enhancement of Near Cloaking Using Generalized Polarization Tensors Vanishing Structures. Part I: The Conductivity Problem},
author = {Habib Ammari and Hyeonbae Kang and Hyundae Lee and Mikyoung Lim},
journal= {arXiv preprint arXiv:1104.3936},
year = {2015}
}
Comments
12 pages, 14 figures