On Approximate Electromagnetic Cloaking by Transformation Media
Abstract
We give a comprehensive study on regularized approximate electromagnetic cloaking in the spherical geometry via the transformation optics approach. The following aspects are investigated: (i) near-invisibility cloaking of passive media as well as active/radiating sources; (ii) the existence of cloak-busting inclusions without lossy medium lining; (iii) overcoming the cloaking-busts by employing a lossy layer outside the cloaked region; and (iv) the frequency dependence of the cloaking performances. We address these issues and connect the obtained asymptotic results to singular ideal cloaking. Numerical verifications and demonstrations are provided to show the sharpness of our analytical study.
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Copyright © 2011 Society for Industrial and Applied Mathematics.
History
Submitted: 8 October 2010
Accepted: 22 November 2010
Published online: 8 February 2011
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