Effectiveness and improvement of cylindrical cloaking with the SHS lining

Abstract

We analyze, both analytically and numerically, the effectiveness of cloaking an infinite cylinder from observations by electromagnetic waves in three dimensions. We show that, as truncated approximations of the ideal permittivity and permeability tensors tend towards the singular ideal cloaking fields, so that the anisotropy ratio tends to infinity, the $D$ and $B$ fields blow up near the cloaking surface. We also consider cloaking with and without the SHS (soft-and-hard surface) lining. We demonstrate numerically that cloaking is significantly improved by the SHS lining, with both the far field of the scattered wave significantly reduced and the blow up of $D$ and $B$ prevented.

22 pages, 2 color figures

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• A Radial-Dependent Dispersive Finite-Difference Time-Domain Method for the Evaluation of Electromagnetic Cloaks
• Cylindrical Cloak with Axial Permittivity/Permeability Spatially Invariant
• The Boundary Conditions for Point Transformed Electromagnetic Invisibility Cloaks
• Necessary and sufficient conditions for reflectionless transformation media in an isotropic and homogenous background
• Ideal and nonideal electromagnetic cloaks
• Approximate quantum and acoustic cloaking
• Two dimensional invisibility cloaking for Helmholtz equation and non-local boundary conditions
• On Approximate Electromagnetic Cloaking by Transformation Media
• Nearly cloaking for the elasticity system with residual stress
• Approximate cloaking using transformation optics for acoustic and electromagnetic waves