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Proceedings Paper

Metamaterials for cloaking: the implications of causality
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Paper Abstract

Causality and passivity constraints appear in constitutive equations of any material or meta-material and characterise the interaction electromagnetic radiation with matter. These constraints result in the well-known physical limitations which affect the design of a cloak. However, there are items in the realm of partial differential equations, namely transmission eigenvalue problems in electromagnetics, which have ignored such physical limitations and are nonetheless believed to play a role in cloaking theory. Herewith, some properties of elliptic partial differential equations are recalled; the main properties of Maxwell-Herglotz pairs are listed; transmission eigenvalue problems are stated, their connections with the properties of the “far-field scattering” operator and to “nearly non-scattering” solutions are discussed. Finally, results coming from transmission eigenvalue problems of electromagnetics, where material models ignore causality and passivity, are shown to be of limited application to cloaking.

Paper Details

Date Published: 7 May 2018
PDF: 12 pages
Proc. SPIE 10671, Metamaterials XI, 106710I (7 May 2018); doi: 10.1117/12.2305346
Show Author Affiliations
Giovanni Franco Crosta, Univ. degli Studi di Milano-Bicocca (Italy)

Published in SPIE Proceedings Vol. 10671:
Metamaterials XI
Allan D. Boardman; Anatoly V. Zayats; Kevin F. MacDonald, Editor(s)

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