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Construction, Modeling, and Analysis of Transformation-Based Metamaterial Invisibility Cloaks

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Reviews in Plasmonics 2015

Part of the book series: Reviews in Plasmonics ((RIP,volume 2015))

Abstract

A summary review of construction, modeling, and analysis of transformation-based metamaterial invisibility cloaks is presented. In particular, we present a simplified and unified theory of vector, tensor, and operator changes under coordinate transformations, and relate them specifically to electromagnetic field vectors, medium permittivity and permeability tensors, and the curl operator in Maxwell’s equations. The presented theory sets a basis for arbitrary manipulations of electromagnetic fields by coordinate transformations, known as the transformation electromagnetics or optics. We also present the examples of coordinate transformations which lead to construction of linear and nonlinear spherical metamaterial cloaks, as well as the resulting transformations of the permittivity/permeability tensors in both spherical and Cartesian systems. Similar principles are then used in construction of a cubical metamaterial cloak, where only Cartesian system is employed. The performance of all constructed spherical and cubical cloaks is verified by numerical simulations. Specifically, we perform full-wave rigorous modeling and analysis of the cloaking structures using a higher order finite element method for discretization of the cloaking region based on large continuously inhomogeneous anisotropic curved hexahedral finite elements with arbitrary material-representation orders and polynomial field expansions and a higher order method of moments for numerical termination of the computational domain.

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Acknowledgements

This work was supported by the National Science Foundation under grants ECCS-1002385 and ECCS-1307863 and by the Serbian Ministry of Science and Technological Development under grant TR-32005.

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Authors and Affiliations

  1. Department of Electrical and Computer Engineering, Colorado State University, Fort Collins, CO, 80523-1373, USA

    Branislav M. Notaroš, Milan M. Ilić & Ana B. Manić

  2. School of Electrical Engineering, University of Belgrade, Belgrade, 11120, Serbia

    Milan M. Ilić & Slobodan V. Savić

Authors
  1. Branislav M. Notaroš
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  2. Milan M. Ilić
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  3. Slobodan V. Savić
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  4. Ana B. Manić
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Corresponding author

Correspondence to Branislav M. Notaroš .

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Editors and Affiliations

  1. Institute of Fluorescence, University of Maryland Baltimore County, BALTIMORE, Maryland, USA

    Chris D. Geddes

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Notaroš, B.M., Ilić, M.M., Savić, S.V., Manić, A.B. (2016). Construction, Modeling, and Analysis of Transformation-Based Metamaterial Invisibility Cloaks. In: Geddes, C. (eds) Reviews in Plasmonics 2015. Reviews in Plasmonics, vol 2015. Springer, Cham. https://doi.org/10.1007/978-3-319-24606-2_4

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