Cloaking via change of variables for the Helmholtz equation

  title={Cloaking via change of variables for the Helmholtz equation},
  author={Robert V. Kohn and Daniel Onofrei and Michael Vogelius and Michael I. Weinstein},
The transformation optics approach to cloaking uses a singu lar change of coordinates, which blows up a point to the region being cloaked. Thi s paper examines a natural regularization, obtained by (i) blowing up a ball o f radiusρ rather than a point, and (ii) including a well-chosen lossy layer at the i nner edge of the cloak. We assess the performance of the resulting near-cloa k as the regularization parameter ρ tends to 0, in the context of (Dirichlet and Neumann) boundar y measurements… CONTINUE READING


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