Communications in Mathematical Physics

, Volume 317, Issue 1, pp 253–266

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

  • Habib Ammari
  • Hyeonbae Kang
  • Hyundae Lee
  • Mikyoung Lim
Article

DOI: 10.1007/s00220-012-1615-8

Cite this article as:
Ammari, H., Kang, H., Lee, H. et al. Commun. Math. Phys. (2013) 317: 253. doi:10.1007/s00220-012-1615-8

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 (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.

Copyright information

© Springer-Verlag Berlin Heidelberg 2012

Authors and Affiliations

  • Habib Ammari
    • 1
  • Hyeonbae Kang
    • 2
  • Hyundae Lee
    • 2
  • Mikyoung Lim
    • 3
  1. 1.Department of Mathematics and ApplicationsEcole Normale SupérieureParisFrance
  2. 2.Department of MathematicsInha UniversityIncheonKorea
  3. 3.Department of Mathematical SciencesKorean Advanced Institute of Science and TechnologyDaejeonKorea