Spectral Theory of a Neumann–Poincaré-Type Operator and Analysis of Cloaking Due to Anomalous Localized Resonance

Ammari, H; Ciraolo, G; Kang, H; Lee, H; Milton, G

doi:10.1007/s00205-012-0605-5

The aim of this paper is to give a mathematical justification of cloaking due to anomalous localized resonance (CALR). We consider the dielectric problem with a source term in a structure with a layer of plasmonic material. Using layer potentials and symmetrization techniques, we give a necessary and sufficient condition on the fixed source term for electromagnetic power dissipation to blow up as the loss parameter of the plasmonic material goes to zero. This condition is written in terms of the Newtonian potential of the source term. In the case of concentric disks, we make the condition even more explicit. Using the condition, we are able to show that for any source supported outside a critical radius, CALR does not take place, and for sources located inside the critical radius satisfying certain conditions, CALR does take place as the loss parameter goes to zero.

Ammari, H., Ciraolo, G., Kang, H., Lee, H., & Milton, G. (2013). Spectral Theory of a Neumann–Poincaré-Type Operator and Analysis of Cloaking Due to Anomalous Localized Resonance. ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 208, 667-692.

Data di pubblicazione:	2013
Titolo:	Spectral Theory of a Neumann–Poincaré-Type Operator and Analysis of Cloaking Due to Anomalous Localized Resonance
Autori:	Ammari, H CIRAOLO, Giulio Kang, H Lee, H Milton, GW mostra contributor esterni nascondi contributor esterni
Citazione:	Ammari, H., Ciraolo, G., Kang, H., Lee, H., & Milton, G. (2013). Spectral Theory of a Neumann–Poincaré-Type Operator and Analysis of Cloaking Due to Anomalous Localized Resonance. ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 208, 667-692.
Rivista:	ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS
Digital Object Identifier (DOI):	http://dx.doi.org/10.1007/s00205-012-0605-5
Settore Scientifico Disciplinare:	Settore MAT/05 - Analisi Matematica
Appare nelle tipologie:	1.01 Articolo in rivista

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Utilizza questo identificativo per citare o creare un link a questo documento:
http://hdl.handle.net/10447/70809

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