7 May 2018 Metamaterials for cloaking: the implications of causality
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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.
Conference Presentation
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Giovanni Franco Crosta, "Metamaterials for cloaking: the implications of causality", Proc. SPIE 10671, Metamaterials XI, 106710I (7 May 2018); doi: 10.1117/12.2305346; https://doi.org/10.1117/12.2305346
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