Spectral theory of a Neumann-Poincaré-type operator and analysis of cloaking by anomalous localized resonance II
Capitolo
Data di Pubblicazione:
2014
Citazione:
Spectral theory of a Neumann-Poincaré-type operator and analysis of cloaking by anomalous localized resonance II / H. Ammari, G. Ciraolo, H. Kang, H. Lee, G. Milton (CONTEMPORARY MATHEMATICS). - In: Inverse Problems and Applications / [a cura di] P. Stefanov, A. Vasy, M. Zworski. - [s.l] : Americal Mathematical Society, 2014. - ISBN 9781470410797. - pp. 1-14 (( convegno Conference in Honor of Gunther Uhlmann on Inverse Problems ; nternational Conference in Honor of Gunther Uhlmann’s 60th Birthday on Inverse Problems and Applications tenutosi a Irvine - Hangzhou nel 2012.
Abstract:
If a body of dielectric material is coated by a plasmonic structure of negative dielectric constant with nonzero loss parameter, then cloaking by anomalous localized resonance (CALR) may occur as the loss parameter tends to zero. The aim of this paper is to investigate this phenomenon in two and three dimensions when the coated structure is radial, and the core, shell and matrix are isotropic materials. In two dimensions, we show that if the real part of the permittivity of the shell is −1 (under the assumption that the permittivity of the background is 1), then CALR takes place. If it is different from −1, then CALR does not occur. In three dimensions, we show that CALR does not occur. The analysis of this paper reveals that occurrence of CALR is determined by the eigenvalue distribution of the Neumann-Poincar´e-type operator associated with the structure.
Tipologia IRIS:
03 - Contributo in volume
Keywords:
Anomalous localized resonance; plasmonic materials; quasi-static cloaking; Neumann-Poincaré operator
Elenco autori:
H. Ammari, G. Ciraolo, H. Kang, H. Lee, G. Milton
Link alla scheda completa:
Titolo del libro:
Inverse Problems and Applications