Abstract
An optimal version of electromagnetic (EM) stealth is the design of invisibility cloak of arbitrary shapes in which the EM waves can be controlled within the cloaking shell by introducing a prescribed spatial variation in the constitutive parameters. The promising challenge in design of invisibility cloak lies in the determination of permittivity and permeability tensors for all the layers. This book provides the detailed derivation of analytical expressions of the permittivity and permeability tensors for various quadric surfaces within the 11 Eisenhart co-ordinate systems. These include the cylinders and the surfaces of revolutions. The analytical modelling and spatial metric for each of these surfaces are provided along with their tensors. This mathematical formulation will help the EM designers to analyze and design various quadratics and their hybrids, which can eventually lead to the designing of cloaking shells of arbitrary shapes.
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Choudhury, B., Reddy, P.V., Jha, R.M. (2016). Permittivity and Permeability Tensors for Cloaking Applications. In: Permittivity and Permeability Tensors for Cloaking Applications. SpringerBriefs in Electrical and Computer Engineering(). Springer, Singapore. https://doi.org/10.1007/978-981-287-805-2_1
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DOI: https://doi.org/10.1007/978-981-287-805-2_1
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