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Abstract |
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We extend and analyse an enhanced approximate cloaking scheme, which was recently introduced by Ammari, Kang, Lee, and
Lim to cloak a domain with a fixed, homogeneous Neumann boundary condition. Subject to the solvability
of a finite set of algebraic equations we construct an approximate cloak for the two dimensional transmission case, which
achieves invisibility of the order rho^{2N+2} while maintaining the same level of local anisotropy as earlier schemes
of order rho^2. The approximate cloak and the invisibility estimate is independent of the objects being cloaked. Finally,
we present analytical as well as numerical evidence for the solvability of the required algebraic equations.
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