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Obtaining a nonsingular two-dimensional cloak of complex shape from a perfect three-dimensional cloak

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A general method is proposed to construct an approximate nonsingular two-dimensional (2D) cloak by taking constitutive parameter tensors (CPTs) of a three-dimensional perfect cloak on a mirror-symmetric cross section in order to avoid any singularity at the inner boundary of a perfect 2D cloak. As two examples, reduced 2D models for an elliptic cloak and a bow-tie cloak are derived. The reduced 2D models are characterized explicitly with CPT of finite values and good cloaking effects are verified numerically.
Title: Obtaining a nonsingular two-dimensional cloak of complex shape from a perfect three-dimensional cloak
Description:
A general method is proposed to construct an approximate nonsingular two-dimensional (2D) cloak by taking constitutive parameter tensors (CPTs) of a three-dimensional perfect cloak on a mirror-symmetric cross section in order to avoid any singularity at the inner boundary of a perfect 2D cloak.
As two examples, reduced 2D models for an elliptic cloak and a bow-tie cloak are derived.
The reduced 2D models are characterized explicitly with CPT of finite values and good cloaking effects are verified numerically.

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