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arXiv · 0707.1315

Effectiveness and improvement of cylindrical cloaking with the SHS lining

Allan Greenleaf·Yaroslav Kurylev·Matti Lassas·Gunther Uhlmann
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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.

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Allan Greenleaf, Yaroslav Kurylev, Matti Lassas, Gunther Uhlmann. 2007-07-09. Effectiveness and improvement of cylindrical cloaking with the SHS lining. https://doi.org/10.1364/oe.15.012717

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