Metamaterials for cloaking: the implications of causality

Giovanni Franco Crosta

doi:10.1117/12.2305346

7 May 2018 Metamaterials for cloaking: the implications of causality

Giovanni Franco Crosta

Proceedings Volume 10671, Metamaterials XI; 106710I (2018) https://doi.org/10.1117/12.2305346
Event: SPIE Photonics Europe, 2018, Strasbourg, France

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

Citation Download Citation

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

ACCESS THE FULL ARTICLE

INSTITUTIONAL
Select your institution to access the SPIE Digital Library.

SELECT YOUR INSTITUTION

PERSONAL
Sign in with your SPIE account to access your personal subscriptions or to use specific features such as save to my library, sign up for alerts, save searches, etc.

PERSONAL SIGN IN

No SPIE Account? Create one

PURCHASE THIS CONTENT

SUBSCRIBE TO DIGITAL LIBRARY

50 downloads per 1-year subscription

Members: $195

Non-members: $335 ADD TO CART

25 downloads per 1 - year subscription

Members: $145

Non-members: $250 ADD TO CART

PURCHASE SINGLE ARTICLE

Includes PDF, HTML & Video, when available