Communications in Mathematical Physics

, Volume 317, Issue 1, pp 253-266

First online:

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

  • Habib AmmariAffiliated withDepartment of Mathematics and Applications, Ecole Normale Supérieure Email author 
  • , Hyeonbae KangAffiliated withDepartment of Mathematics, Inha University
  • , Hyundae LeeAffiliated withDepartment of Mathematics, Inha University
  • , Mikyoung LimAffiliated withDepartment of Mathematical Sciences, Korean Advanced Institute of Science and Technology

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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.