Localized and complete resonance in plasmonic structures
Nguyen, Hoai-Minh1, 2 ; Nguyen, Loc Hoang1
1 EPFL SB MATHAA CAMA, Station 8, 1015 Lausanne, Switzerland.
2 School of Mathematics, University of Minnesota, MN, 55455 Minnesota, USA.
ESAIM: Mathematical Modelling and Numerical Analysis , Tome 49 (2015) no. 3, pp. 741-754.

This paper studies a possible connection between the way the time averaged electromagnetic power dissipated into heat blows up and the anomalous localized resonance in plasmonic structures. We show that there is a setting in which the localized resonance takes place whenever the resonance does and moreover, the power is always bounded and might go to 0. We also provide another setting in which the resonance is complete and the power goes to infinity whenever resonance occurs; as a consequence of this fact there is no localized resonance. This work is motivated from recent works on cloaking via anomalous localized resonance.

Reçu le :
DOI : 10.1051/m2an/2014051
Classification : 78A25, 78M35, 78.35, 35A20, 35B25, 35B40
Mots-clés : Localized resonance, complete resonance, plasmonic structures, negative index materials, complementary media
Nguyen, Hoai-Minh 1, 2 ; Nguyen, Loc Hoang 1

1 EPFL SB MATHAA CAMA, Station 8, 1015 Lausanne, Switzerland.
2 School of Mathematics, University of Minnesota, MN, 55455 Minnesota, USA. 
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Nguyen, Hoai-Minh; Nguyen, Loc Hoang. Localized and complete resonance in plasmonic structures. ESAIM: Mathematical Modelling and Numerical Analysis , Tome 49 (2015) no. 3, pp. 741-754. doi : 10.1051/m2an/2014051. http://www.numdam.org/articles/10.1051/m2an/2014051/

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