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 vanish. We show that this in particular significantly enhances the cloaking effect. We then present some numerical examples of Generalized Polarization Tensors vanishing structures. 
Habib Ammari, Hyeonbae Kang, Hyundae Lee, and Mikyoung Lim
math-ph math.MP